{"id":1,"expression_no_base_symbol":"(⇁⨣⪵(⇈($3720$⊲⩕⊾$3989$)))⪔((($3922$⫩)⨹)⋳⪒(($1768$∝$5340$)⨎$3032$∺≝⩲$7065$))","expression":"(⇁⨣⪵(⇈(⫖↰⪸21A0⊲⩕⊾⫖↰⪸2385)))⪔(((⫖↰⪸232A⫩)⨹)⋳⪒((⫖↰⪸1034∝⫖↰⪸3110)⨎⫖↰⪸1908∺≝⩲⫖↰⪸4109))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8267,"operation_count":10,"complexity_ratio":826.7,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3720,"base":12},"right_expr":{"type":"numeric_atoms","value":3989,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":3922,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1768,"base":12},"right_expr":{"type":"numeric_atoms","value":5340,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3032,"base":12},"right_expr":{"type":"numeric_atoms","value":7065,"base":12}}}}},"used_operators":["GjBEYRfMaF","inkyxCbjAn","SLLxy00UIr","DmTXOeWf9t","12rbrZMWeM","UnCoSGIALn","6aG7x05OhS","rJVOvQCfKK","cTDWOvIxvz","KPf6cnQVty"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","B5M0gjZbta","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","W4YGzv6Whe","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3720","layer":4},{"info":"number node, value=3989","layer":4},{"info":"compute binary expreesion, left_input=3720, right_input=3989, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-96040","layer":3},{"info":"compute unary expreesion, input=-96040, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3922","layer":4},{"info":"compute unary expreesion, input=3922, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"number node, value=1768","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=5340, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1773","layer":3},{"info":"number node, value=3032","layer":4},{"info":"number node, value=7065","layer":4},{"info":"compute binary expreesion, left_input=3032, right_input=7065, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1773, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵(⇈(⫖↰⪸21A0⊲⩕⊾⫖↰⪸2385)))⪔(((⫖↰⪸232A⫩)⨹)⋳⪒((⫖↰⪸1034∝⫖↰⪸3110)⨎⫖↰⪸1908∺≝⩲⫖↰⪸4109))=NaN","reverse_text":"NaN=(⇁⨣⪵(⇈(⫖↰⪸21A0⊲⩕⊾⫖↰⪸2385)))⪔(((⫖↰⪸232A⫩)⨹)⋳⪒((⫖↰⪸1034∝⫖↰⪸3110)⨎⫖↰⪸1908∺≝⩲⫖↰⪸4109))","cot":[{"info":"⫖↰⪸21A0⊲⩕⊾⫖↰⪸2385=⫖↰⪸-476B4","layer":3},{"info":"⇈⫖↰⪸-476B4=⫖↰⪸-313","layer":2},{"info":"⇁⨣⪵⫖↰⪸-313=NaN","layer":1},{"info":"⫖↰⪸232A⫩=NaN","layer":3},{"info":"NaN⨹=NaN","layer":2},{"info":"⫖↰⪸1034∝⫖↰⪸3110=⫖↰⪸1039","layer":3},{"info":"⫖↰⪸1908∺≝⩲⫖↰⪸4109=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1039⨎⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"NaN⋳⪒⫖↰⪸114=NaN","layer":1},{"info":"NaN⪔NaN=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"(($5942$⨚$1412$⪨≂$6874$⊢$1762$)⫳≱↱($3370$↓⨍⋜)∇⊂⋱(⇉-⫰$2446$))⨝⩣∺","expression":"((⫖↰⪸3532⨚⫖↰⪸998⪨≂⫖↰⪸3B8A⊢⫖↰⪸102A)⫳≱↱(⫖↰⪸1B4A↓⨍⋜)∇⊂⋱(⇉-⫰⫖↰⪸14BA))⨝⩣∺","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":640,"operation_count":8,"complexity_ratio":80.0,"tree":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5942,"base":12},"right_expr":{"type":"numeric_atoms","value":1412,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6874,"base":12},"right_expr":{"type":"numeric_atoms","value":1762,"base":12}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":3370,"base":12}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2446,"base":12}}}}},"used_operators":["ancx8kZcWl","ZvLB05nZmT","sdazOOVcIp","nREPSIbpBE","5twsqlHp2o","nhYeJWJD5X","3DVzLFNsE9","IGFM8TAlm9"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","eH2TOUuTDT","eewbuw0ToL"],"result":"⫖↰⪸-150","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5942","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=5942, right_input=1412, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=7170","layer":3},{"info":"number node, value=6874","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=6874, right_input=1762, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-13992","layer":3},{"info":"compute binary expreesion, left_input=7170, right_input=-13992, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=42426","layer":2},{"info":"number node, value=3370","layer":4},{"info":"compute unary expreesion, input=3370, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=2446","layer":4},{"info":"compute unary expreesion, input=2446, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=20, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=12634","layer":2},{"info":"compute binary expreesion, left_input=42426, right_input=12634, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute unary expreesion, input=-204, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-204","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3532⨚⫖↰⪸998⪨≂⫖↰⪸3B8A⊢⫖↰⪸102A)⫳≱↱(⫖↰⪸1B4A↓⨍⋜)∇⊂⋱(⇉-⫰⫖↰⪸14BA))⨝⩣∺=⫖↰⪸-150","reverse_text":"⫖↰⪸-150=((⫖↰⪸3532⨚⫖↰⪸998⪨≂⫖↰⪸3B8A⊢⫖↰⪸102A)⫳≱↱(⫖↰⪸1B4A↓⨍⋜)∇⊂⋱(⇉-⫰⫖↰⪸14BA))⨝⩣∺","cot":[{"info":"⫖↰⪸3532⨚⫖↰⪸998=⫖↰⪸4196","layer":3},{"info":"⫖↰⪸3B8A⊢⫖↰⪸102A=⫖↰⪸-8120","layer":3},{"info":"⫖↰⪸4196⪨≂⫖↰⪸-8120=⫖↰⪸20676","layer":2},{"info":"⫖↰⪸1B4A↓⨍⋜=⫖↰⪸3992","layer":3},{"info":"⇉-⫰⫖↰⪸14BA=⫖↰⪸18","layer":3},{"info":"⫖↰⪸3992∇⊂⋱⫖↰⪸18=⫖↰⪸738A","layer":2},{"info":"⫖↰⪸20676⫳≱↱⫖↰⪸738A=⫖↰⪸-150","layer":1},{"info":"⫖↰⪸-150⨝⩣∺=⫖↰⪸-150","layer":0}]}
{"id":3,"expression_no_base_symbol":"(($7968$⪥$2195$)≦↸($2121$⇍⊗$1040$))⨐((⊖$2021$)⨰$5780$∑⇟⊟$5100$)⪥⨬⪅","expression":"((⫖↰⪸4740⪥⫖↰⪸132B)≦↸(⫖↰⪸1289⇍⊗⫖↰⪸728))⨐((⊖⫖↰⪸1205)⨰⫖↰⪸3418∑⇟⊟⫖↰⪸2B50)⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":644,"operation_count":8,"complexity_ratio":80.5,"tree":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":7968,"base":12},"right_expr":{"type":"numeric_atoms","value":2195,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2121,"base":12},"right_expr":{"type":"numeric_atoms","value":1040,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2021,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5780,"base":12},"right_expr":{"type":"numeric_atoms","value":5100,"base":12}}}}},"used_operators":["zNRQejTB5A","Noe24qw2ks","RygbFNSyEJ","QbnwKVWMIQ","5uvYHDjeKN","eewbuw0ToL","U6pG0PXrV3","U7g4x0WXJJ"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7968","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=7968, right_input=2195, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=36524","layer":3},{"info":"number node, value=2121","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=1040, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=36524, right_input=-244, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-35843","layer":2},{"info":"number node, value=2021","layer":4},{"info":"compute unary expreesion, input=2021, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=5780","layer":4},{"info":"number node, value=5100","layer":4},{"info":"compute binary expreesion, left_input=5780, right_input=5100, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-35843, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=71686","layer":1},{"info":"compute unary expreesion, input=71686, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4740⪥⫖↰⪸132B)≦↸(⫖↰⪸1289⇍⊗⫖↰⪸728))⨐((⊖⫖↰⪸1205)⨰⫖↰⪸3418∑⇟⊟⫖↰⪸2B50)⪥⨬⪅=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=((⫖↰⪸4740⪥⫖↰⪸132B)≦↸(⫖↰⪸1289⇍⊗⫖↰⪸728))⨐((⊖⫖↰⪸1205)⨰⫖↰⪸3418∑⇟⊟⫖↰⪸2B50)⪥⨬⪅","cot":[{"info":"⫖↰⪸4740⪥⫖↰⪸132B=⫖↰⪸19178","layer":3},{"info":"⫖↰⪸1289⇍⊗⫖↰⪸728=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸19178≦↸⫖↰⪸-184=⫖↰⪸-188AB","layer":2},{"info":"⊖⫖↰⪸1205=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3418∑⇟⊟⫖↰⪸2B50=NaN","layer":3},{"info":"⫖↰⪸0⨰NaN=NaN","layer":2},{"info":"⫖↰⪸-188AB⨐NaN=⫖↰⪸3559A","layer":1},{"info":"⫖↰⪸3559A⪥⨬⪅=⫖↰⪸-335","layer":0}]}
{"id":4,"expression_no_base_symbol":"($5894$⫁$2057$⨽∌($1593$≠≀$1165$)⩁⩘($2362$⫠↝⫳)⫁⪎($2911$⫚↹⊑$2752$))⪬((≔$1110$)≠≀($2053$≥⨤⩑$4746$)∠⫱$1352$↞⋁$4976$⊲⩕⊾($4163$⇴∐$5390$))","expression":"(⫖↰⪸34B2⫁⫖↰⪸1235⨽∌(⫖↰⪸B09≠≀⫖↰⪸811)⩁⩘(⫖↰⪸144A⫠↝⫳)⫁⪎(⫖↰⪸1827⫚↹⊑⫖↰⪸1714))⪬((≔⫖↰⪸786)≠≀(⫖↰⪸1231≥⨤⩑⫖↰⪸28B6)∠⫱⫖↰⪸948↞⋁⫖↰⪸2A68⊲⩕⊾(⫖↰⪸24AB⇴∐⫖↰⪸3152))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1127,"operation_count":15,"complexity_ratio":75.13333333333334,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5894,"base":12},"right_expr":{"type":"numeric_atoms","value":2057,"base":12}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1593,"base":12},"right_expr":{"type":"numeric_atoms","value":1165,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":2362,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2911,"base":12},"right_expr":{"type":"numeric_atoms","value":2752,"base":12}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1110,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2053,"base":12},"right_expr":{"type":"numeric_atoms","value":4746,"base":12}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1352,"base":12},"right_expr":{"type":"numeric_atoms","value":4976,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4163,"base":12},"right_expr":{"type":"numeric_atoms","value":5390,"base":12}}}}},"used_operators":["Ez1Nq5fNfI","gub5Cegaqo","9samAPKr6k","0ajvFaJAv0","IwW236VD4Y","xRrnTEsQ6j","8n5YIzOsVS","dfKe02y8D2","QvoQhV0rrE","8FLs4eVsLt","gJLn6v0xnP","DmTXOeWf9t","RqrPlJkxDo","HnzytWxmAO"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DpFCA1CohY","IWmyXbctLI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5894","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=5894, right_input=2057, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1593","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=1165, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2880","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2880, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=2362","layer":4},{"info":"compute unary expreesion, input=2362, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=76207","layer":3},{"info":"number node, value=2911","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=2752, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=76207, right_input=-447, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=76654","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=76654, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-29786","layer":3},{"info":"number node, value=2053","layer":4},{"info":"number node, value=4746","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=4746, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-29786, right_input=1234, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=59878","layer":2},{"info":"number node, value=1352","layer":4},{"info":"number node, value=4976","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=4976, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=4163","layer":4},{"info":"number node, value=5390","layer":4},{"info":"compute binary expreesion, left_input=4163, right_input=5390, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=59878, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸34B2⫁⫖↰⪸1235⨽∌(⫖↰⪸B09≠≀⫖↰⪸811)⩁⩘(⫖↰⪸144A⫠↝⫳)⫁⪎(⫖↰⪸1827⫚↹⊑⫖↰⪸1714))⪬((≔⫖↰⪸786)≠≀(⫖↰⪸1231≥⨤⩑⫖↰⪸28B6)∠⫱⫖↰⪸948↞⋁⫖↰⪸2A68⊲⩕⊾(⫖↰⪸24AB⇴∐⫖↰⪸3152))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(⫖↰⪸34B2⫁⫖↰⪸1235⨽∌(⫖↰⪸B09≠≀⫖↰⪸811)⩁⩘(⫖↰⪸144A⫠↝⫳)⫁⪎(⫖↰⪸1827⫚↹⊑⫖↰⪸1714))⪬((≔⫖↰⪸786)≠≀(⫖↰⪸1231≥⨤⩑⫖↰⪸28B6)∠⫱⫖↰⪸948↞⋁⫖↰⪸2A68⊲⩕⊾(⫖↰⪸24AB⇴∐⫖↰⪸3152))","cot":[{"info":"⫖↰⪸34B2⫁⫖↰⪸1235=⫖↰⪸114","layer":3},{"info":"⫖↰⪸B09≠≀⫖↰⪸811=⫖↰⪸-1800","layer":3},{"info":"⫖↰⪸114⨽∌⫖↰⪸-1800=⫖↰⪸0","layer":2},{"info":"⫖↰⪸144A⫠↝⫳=⫖↰⪸38127","layer":3},{"info":"⫖↰⪸1827⫚↹⊑⫖↰⪸1714=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸38127⫁⪎⫖↰⪸-313=⫖↰⪸3843A","layer":2},{"info":"⫖↰⪸0⩁⩘⫖↰⪸3843A=NaN","layer":1},{"info":"≔⫖↰⪸786=⫖↰⪸-152A2","layer":3},{"info":"⫖↰⪸1231≥⨤⩑⫖↰⪸28B6=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-152A2≠≀⫖↰⪸86A=⫖↰⪸2A79A","layer":2},{"info":"⫖↰⪸948↞⋁⫖↰⪸2A68=NaN","layer":3},{"info":"⫖↰⪸24AB⇴∐⫖↰⪸3152=NaN","layer":3},{"info":"NaN⊲⩕⊾NaN=NaN","layer":2},{"info":"⫖↰⪸2A79A∠⫱NaN=NaN","layer":1},{"info":"NaN⪬NaN=⫖↰⪸86A","layer":0}]}
{"id":5,"expression_no_base_symbol":"(((↑$1923$)⫭)⇟⨁⪰)⨽⪊≇","expression":"(((↑⫖↰⪸1143)⫭)⇟⨁⪰)⨽⪊≇","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":69,"operation_count":4,"complexity_ratio":17.25,"tree":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1923,"base":12}}}}},"used_operators":["nlCqmYiOvY","BX1lVwlMe0","t4WUHVGj7f","tR7O2zTn5j"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","2DDjHMKMc0","xUOZtlo3hN","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"⫖↰⪸-1550","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1923","layer":4},{"info":"compute unary expreesion, input=1923, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=817","layer":2},{"info":"compute unary expreesion, input=817, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-991","layer":1},{"info":"compute unary expreesion, input=-991, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-2508","layer":0}],"base":12,"result_base":12,"text":"(((↑⫖↰⪸1143)⫭)⇟⨁⪰)⨽⪊≇=⫖↰⪸-1550","reverse_text":"⫖↰⪸-1550=(((↑⫖↰⪸1143)⫭)⇟⨁⪰)⨽⪊≇","cot":[{"info":"↑⫖↰⪸1143=⫖↰⪸140","layer":3},{"info":"⫖↰⪸140⫭=⫖↰⪸581","layer":2},{"info":"⫖↰⪸581⇟⨁⪰=⫖↰⪸-6A7","layer":1},{"info":"⫖↰⪸-6A7⨽⪊≇=⫖↰⪸-1550","layer":0}]}
{"id":6,"expression_no_base_symbol":"⫓⪴($1252$⇼⇔∾$3846$∖($1073$⨝⩣∺))∊∟⩊(⇖($1129$⫲≸⪮$4365$))","expression":"⫓⪴(⫖↰⪸884⇼⇔∾⫖↰⪸2286∖(⫖↰⪸755⨝⩣∺))∊∟⩊(⇖(⫖↰⪸7A1⫲≸⪮⫖↰⪸2639))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1324,"operation_count":7,"complexity_ratio":189.14285714285714,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1252,"base":12},"right_expr":{"type":"numeric_atoms","value":3846,"base":12}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1073,"base":12}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1129,"base":12},"right_expr":{"type":"numeric_atoms","value":4365,"base":12}}}}},"used_operators":["eLxqMNBOBk","ddLRYrp01A","tXD093vOjl","tifHPKVTfV","ancx8kZcWl","tfWHHpNKUN","P3lXMJvFrc"],"dependent_operators":["9HNa5Wba9A","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","t8gj7n24qd","2DQ55sFlQl","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=3846, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2594","layer":3},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2146","layer":3},{"info":"compute binary expreesion, left_input=2594, right_input=-2146, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1129","layer":4},{"info":"number node, value=4365","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=4365, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1129","layer":3},{"info":"compute unary expreesion, input=1129, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫓⪴(⫖↰⪸884⇼⇔∾⫖↰⪸2286∖(⫖↰⪸755⨝⩣∺))∊∟⩊(⇖(⫖↰⪸7A1⫲≸⪮⫖↰⪸2639))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫓⪴(⫖↰⪸884⇼⇔∾⫖↰⪸2286∖(⫖↰⪸755⨝⩣∺))∊∟⩊(⇖(⫖↰⪸7A1⫲≸⪮⫖↰⪸2639))","cot":[{"info":"⫖↰⪸884⇼⇔∾⫖↰⪸2286=⫖↰⪸1602","layer":3},{"info":"⫖↰⪸755⨝⩣∺=⫖↰⪸-12AA","layer":3},{"info":"⫖↰⪸1602∖⫖↰⪸-12AA=⫖↰⪸0","layer":2},{"info":"⫖↰⪸7A1⫲≸⪮⫖↰⪸2639=⫖↰⪸7A1","layer":3},{"info":"⇖⫖↰⪸7A1=⫖↰⪸114","layer":2},{"info":"⫖↰⪸0∊∟⩊⫖↰⪸114=⫖↰⪸0","layer":1},{"info":"⫓⪴⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":7,"expression_no_base_symbol":"(∂⩏⊆$6658$⊕∕$2434$⩌⋺($1763$⪄$1250$))⫍⨯↯","expression":"(∂⩏⊆⫖↰⪸3A2A⊕∕⫖↰⪸14AA⩌⋺(⫖↰⪸102B⪄⫖↰⪸882))⫍⨯↯","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":116,"operation_count":5,"complexity_ratio":23.2,"tree":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":6658,"base":12},"right_expr":{"type":"numeric_atoms","value":2434,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1763,"base":12},"right_expr":{"type":"numeric_atoms","value":1250,"base":12}}}}},"used_operators":["ZcwmYACASQ","8WDwsbhb0R","g7Hmc5v1ko","9cloC0Ngie","SUmda5xLS4"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","14qkJME0vr","eLAdDNolq6","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6658","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=6658, right_input=2434, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=6658","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=1250, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-262013","layer":3},{"info":"compute binary expreesion, left_input=6658, right_input=-262013, 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=255234","layer":2},{"info":"compute unary expreesion, input=255234, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-765781","layer":1},{"info":"compute unary expreesion, input=-765781, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":0}],"base":12,"result_base":12,"text":"(∂⩏⊆⫖↰⪸3A2A⊕∕⫖↰⪸14AA⩌⋺(⫖↰⪸102B⪄⫖↰⪸882))⫍⨯↯=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=(∂⩏⊆⫖↰⪸3A2A⊕∕⫖↰⪸14AA⩌⋺(⫖↰⪸102B⪄⫖↰⪸882))⫍⨯↯","cot":[{"info":"⫖↰⪸3A2A⊕∕⫖↰⪸14AA=⫖↰⪸3A2A","layer":3},{"info":"⫖↰⪸102B⪄⫖↰⪸882=⫖↰⪸-107765","layer":3},{"info":"⫖↰⪸3A2A⩌⋺⫖↰⪸-107765=⫖↰⪸103856","layer":2},{"info":"∂⩏⊆⫖↰⪸103856=⫖↰⪸-30B1B1","layer":1},{"info":"⫖↰⪸-30B1B1⫍⨯↯=⫖↰⪸-B2","layer":0}]}
{"id":8,"expression_no_base_symbol":"(⨙⪌((⨂⪏⇭$1251$)⇌⫙⪟$1299$⨂≜$1445$))∴≳≥","expression":"(⨙⪌((⨂⪏⇭⫖↰⪸883)⇌⫙⪟⫖↰⪸903⨂≜⫖↰⪸A05))∴≳≥","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1407,"operation_count":5,"complexity_ratio":281.4,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1251,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1299,"base":12},"right_expr":{"type":"numeric_atoms","value":1445,"base":12}}}}},"used_operators":["a3N2hFLK0J","vEGLkm4Z2k","AFVx7xoS7T","AYdpE9sXAk","k1SHOSEABc"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2774","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1445, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2774, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨙⪌((⨂⪏⇭⫖↰⪸883)⇌⫙⪟⫖↰⪸903⨂≜⫖↰⪸A05))∴≳≥=NaN","reverse_text":"NaN=(⨙⪌((⨂⪏⇭⫖↰⪸883)⇌⫙⪟⫖↰⪸903⨂≜⫖↰⪸A05))∴≳≥","cot":[{"info":"⨂⪏⇭⫖↰⪸883=⫖↰⪸1732","layer":3},{"info":"⫖↰⪸903⨂≜⫖↰⪸A05=NaN","layer":3},{"info":"⫖↰⪸1732⇌⫙⪟NaN=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"NaN∴≳≥=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"((⋂$1784$)⩺⪪($2936$⨒$1774$)⪨≂($6958$⋅⇍$2625$)⩍⋽⫝̸($2758$⫉⨲⊜$3830$))⪮%⊝((∂$5614$)≳⇉(⇖$4496$)⊍⩺⋍(($2288$⊲⩕⊾$1669$)⇚⪠))","expression":"((⋂⫖↰⪸1048)⩺⪪(⫖↰⪸1848⨒⫖↰⪸103A)⪨≂(⫖↰⪸403A⋅⇍⫖↰⪸1629)⩍⋽⫝̸(⫖↰⪸171A⫉⨲⊜⫖↰⪸2272))⪮%⊝((∂⫖↰⪸32BA)≳⇉(⇖⫖↰⪸2728)⊍⩺⋍((⫖↰⪸13A8⊲⩕⊾⫖↰⪸B71)⇚⪠))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50799,"operation_count":14,"complexity_ratio":3628.5,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1784,"base":12}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2936,"base":12},"right_expr":{"type":"numeric_atoms","value":1774,"base":12}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6958,"base":12},"right_expr":{"type":"numeric_atoms","value":2625,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2758,"base":12},"right_expr":{"type":"numeric_atoms","value":3830,"base":12}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5614,"base":12}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":4496,"base":12}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2288,"base":12},"right_expr":{"type":"numeric_atoms","value":1669,"base":12}}}}},"used_operators":["IWmyXbctLI","sdazOOVcIp","uvdQJvN4PV","BUOGQAYlQx","y75s1iXyHd","BiWNJpBvwn","AdZkA7nFnk","WhqkvtTD3t","OXDGMFPWZM","V0kx6qeWkN","Uaa54Peajs","tfWHHpNKUN","Loh9y4A90B","DmTXOeWf9t"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eewbuw0ToL","zVYPLywUTj","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2DQ55sFlQl","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1784","layer":4},{"info":"compute unary expreesion, input=1784, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-24380","layer":3},{"info":"number node, value=2936","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=1774, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-17244","layer":3},{"info":"compute binary expreesion, left_input=-24380, right_input=-17244, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=6958","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=6958, right_input=2625, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2758","layer":4},{"info":"number node, value=3830","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=3830, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=-209, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3116","layer":1},{"info":"number node, value=5614","layer":4},{"info":"compute unary expreesion, input=5614, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=4496","layer":4},{"info":"compute unary expreesion, input=4496, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=2288","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1669, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-49928","layer":3},{"info":"compute unary expreesion, input=-49928, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3116, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⋂⫖↰⪸1048)⩺⪪(⫖↰⪸1848⨒⫖↰⪸103A)⪨≂(⫖↰⪸403A⋅⇍⫖↰⪸1629)⩍⋽⫝̸(⫖↰⪸171A⫉⨲⊜⫖↰⪸2272))⪮%⊝((∂⫖↰⪸32BA)≳⇉(⇖⫖↰⪸2728)⊍⩺⋍((⫖↰⪸13A8⊲⩕⊾⫖↰⪸B71)⇚⪠))=NaN","reverse_text":"NaN=((⋂⫖↰⪸1048)⩺⪪(⫖↰⪸1848⨒⫖↰⪸103A)⪨≂(⫖↰⪸403A⋅⇍⫖↰⪸1629)⩍⋽⫝̸(⫖↰⪸171A⫉⨲⊜⫖↰⪸2272))⪮%⊝((∂⫖↰⪸32BA)≳⇉(⇖⫖↰⪸2728)⊍⩺⋍((⫖↰⪸13A8⊲⩕⊾⫖↰⪸B71)⇚⪠))","cot":[{"info":"⋂⫖↰⪸1048=⫖↰⪸-12138","layer":3},{"info":"⫖↰⪸1848⨒⫖↰⪸103A=⫖↰⪸-9B90","layer":3},{"info":"⫖↰⪸-12138⩺⪪⫖↰⪸-9B90=⫖↰⪸-1076","layer":2},{"info":"⫖↰⪸403A⋅⇍⫖↰⪸1629=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸171A⫉⨲⊜⫖↰⪸2272=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1A⩍⋽⫝̸⫖↰⪸0=⫖↰⪸-155","layer":2},{"info":"⫖↰⪸-1076⪨≂⫖↰⪸-155=⫖↰⪸-1978","layer":1},{"info":"∂⫖↰⪸32BA=NaN","layer":3},{"info":"⇖⫖↰⪸2728=⫖↰⪸114","layer":3},{"info":"NaN≳⇉⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸13A8⊲⩕⊾⫖↰⪸B71=⫖↰⪸-24A88","layer":3},{"info":"⫖↰⪸-24A88⇚⪠=-Inf","layer":2},{"info":"NaN⊍⩺⋍-Inf=NaN","layer":1},{"info":"⫖↰⪸-1978⪮%⊝NaN=NaN","layer":0}]}
{"id":10,"expression_no_base_symbol":"(⋂$8253$⊬⨰$3271$)≃($6696$⊱⇼⊻$6257$⪨⊡$6068$⨰$1087$)↙($2859$⫿)⨜⨶($1173$⪨⊡$2262$)⩍⋽⫝̸($8449$⨝⩣∺)∘($1236$∝$5185$)","expression":"(⋂⫖↰⪸4939⊬⨰⫖↰⪸1A87)≃(⫖↰⪸3A60⊱⇼⊻⫖↰⪸3755⪨⊡⫖↰⪸3618⨰⫖↰⪸767)↙(⫖↰⪸17A3⫿)⨜⨶(⫖↰⪸819⪨⊡⫖↰⪸1386)⩍⋽⫝̸(⫖↰⪸4A81⨝⩣∺)∘(⫖↰⪸870∝⫖↰⪸3001)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":126,"operation_count":14,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":8253,"base":12},"right_expr":{"type":"numeric_atoms","value":3271,"base":12}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":6696,"base":12},"right_expr":{"type":"numeric_atoms","value":6257,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6068,"base":12},"right_expr":{"type":"numeric_atoms","value":1087,"base":12}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2859,"base":12}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1173,"base":12},"right_expr":{"type":"numeric_atoms","value":2262,"base":12}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":8449,"base":12}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1236,"base":12},"right_expr":{"type":"numeric_atoms","value":5185,"base":12}}}}},"used_operators":["yyfyN0ffXY","YbVcJGFEVW","BUOGQAYlQx","s3Fd5m9Dh2","kuIXHzHcAH","FyVja0WsTP","eewbuw0ToL","BiWNJpBvwn","HiPekx5b7W","9tKT6PmtkH","Z5m6OM72h2","ancx8kZcWl","cTDWOvIxvz"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eH2TOUuTDT","rysDP5nf3Z","DZ8iAZOCBD","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⫖↰⪸-68","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8253","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=8253, right_input=3271, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=20281","layer":3},{"info":"compute unary expreesion, input=20281, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-283338","layer":2},{"info":"number node, value=6696","layer":4},{"info":"number node, value=6257","layer":4},{"info":"compute binary expreesion, left_input=6696, right_input=6257, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=6068","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=6068, right_input=1087, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4991","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=4991, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-283338, right_input=0, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-80","layer":1},{"info":"number node, value=2859","layer":4},{"info":"compute unary expreesion, input=2859, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2859","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2262, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2859, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=29373","layer":2},{"info":"number node, value=8449","layer":4},{"info":"compute unary expreesion, input=8449, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-16898","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=5185","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=5185, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1241","layer":3},{"info":"compute binary expreesion, left_input=-16898, right_input=1241, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-33796","layer":2},{"info":"compute binary expreesion, left_input=29373, right_input=-33796, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=62696","layer":1},{"info":"compute binary expreesion, left_input=-80, right_input=62696, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-80","layer":0}],"base":12,"result_base":12,"text":"(⋂⫖↰⪸4939⊬⨰⫖↰⪸1A87)≃(⫖↰⪸3A60⊱⇼⊻⫖↰⪸3755⪨⊡⫖↰⪸3618⨰⫖↰⪸767)↙(⫖↰⪸17A3⫿)⨜⨶(⫖↰⪸819⪨⊡⫖↰⪸1386)⩍⋽⫝̸(⫖↰⪸4A81⨝⩣∺)∘(⫖↰⪸870∝⫖↰⪸3001)=⫖↰⪸-68","reverse_text":"⫖↰⪸-68=(⋂⫖↰⪸4939⊬⨰⫖↰⪸1A87)≃(⫖↰⪸3A60⊱⇼⊻⫖↰⪸3755⪨⊡⫖↰⪸3618⨰⫖↰⪸767)↙(⫖↰⪸17A3⫿)⨜⨶(⫖↰⪸819⪨⊡⫖↰⪸1386)⩍⋽⫝̸(⫖↰⪸4A81⨝⩣∺)∘(⫖↰⪸870∝⫖↰⪸3001)","cot":[{"info":"⫖↰⪸4939⊬⨰⫖↰⪸1A87=⫖↰⪸B8A1","layer":3},{"info":"⋂⫖↰⪸B8A1=⫖↰⪸-117B76","layer":2},{"info":"⫖↰⪸3A60⊱⇼⊻⫖↰⪸3755=⫖↰⪸302","layer":3},{"info":"⫖↰⪸3618⨰⫖↰⪸767=⫖↰⪸2A7B","layer":3},{"info":"⫖↰⪸302⪨⊡⫖↰⪸2A7B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-117B76≃⫖↰⪸0=⫖↰⪸-68","layer":1},{"info":"⫖↰⪸17A3⫿=⫖↰⪸17A3","layer":3},{"info":"⫖↰⪸819⪨⊡⫖↰⪸1386=⫖↰⪸0","layer":3},{"info":"⫖↰⪸17A3⨜⨶⫖↰⪸0=⫖↰⪸14BB9","layer":2},{"info":"⫖↰⪸4A81⨝⩣∺=⫖↰⪸-9942","layer":3},{"info":"⫖↰⪸870∝⫖↰⪸3001=⫖↰⪸875","layer":3},{"info":"⫖↰⪸-9942∘⫖↰⪸875=⫖↰⪸-17684","layer":2},{"info":"⫖↰⪸14BB9⩍⋽⫝̸⫖↰⪸-17684=⫖↰⪸30348","layer":1},{"info":"⫖↰⪸-68↙⫖↰⪸30348=⫖↰⪸-68","layer":0}]}
{"id":11,"expression_no_base_symbol":"((≸≮$4563$)⫰⋱($6715$⨑≵⋬$4140$))⪛(($3268$⨲∙)⫸⇳($3025$⨵⪆$1881$))∌↝(∡($5785$⪒$2028$)⩼⇪↪($4975$≎⊠⪸$1024$))","expression":"((≸≮⫖↰⪸2783)⫰⋱(⫖↰⪸3A77⨑≵⋬⫖↰⪸2490))⪛((⫖↰⪸1A84⨲∙)⫸⇳(⫖↰⪸1901⨵⪆⫖↰⪸1109))∌↝(∡(⫖↰⪸3421⪒⫖↰⪸1210)⩼⇪↪(⫖↰⪸2A67≎⊠⪸⫖↰⪸714))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10719,"operation_count":12,"complexity_ratio":893.25,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":4563,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6715,"base":12},"right_expr":{"type":"numeric_atoms","value":4140,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":3268,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3025,"base":12},"right_expr":{"type":"numeric_atoms","value":1881,"base":12}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5785,"base":12},"right_expr":{"type":"numeric_atoms","value":2028,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4975,"base":12},"right_expr":{"type":"numeric_atoms","value":1024,"base":12}}}}},"used_operators":["9Isq31Ruls","uFcxV4UQCh","6o9Blt3TJ6","AljMvE3RRm","XnXgA4xnOs","gx7XJ7hdpj","cRahaglYVE","2DQ55sFlQl","pRsWfj4Fpp","ocnLzx9CaJ","f6k1SAg4EE","bJkvcejdHO"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4563","layer":4},{"info":"compute unary expreesion, input=4563, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=6715","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=6715, right_input=4140, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=5974","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5974, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=3268","layer":4},{"info":"compute unary expreesion, input=3268, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=42268006","layer":3},{"info":"number node, value=3025","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=1881, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=42268006, right_input=160, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=5785","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=5785, right_input=2028, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7813","layer":3},{"info":"number node, value=4975","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=4975, right_input=1024, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1288052","layer":3},{"info":"compute binary expreesion, left_input=-7813, right_input=1288052, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-9032773","layer":2},{"info":"compute unary expreesion, input=-9032773, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=54196638","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=54196638, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≸≮⫖↰⪸2783)⫰⋱(⫖↰⪸3A77⨑≵⋬⫖↰⪸2490))⪛((⫖↰⪸1A84⨲∙)⫸⇳(⫖↰⪸1901⨵⪆⫖↰⪸1109))∌↝(∡(⫖↰⪸3421⪒⫖↰⪸1210)⩼⇪↪(⫖↰⪸2A67≎⊠⪸⫖↰⪸714))=NaN","reverse_text":"NaN=((≸≮⫖↰⪸2783)⫰⋱(⫖↰⪸3A77⨑≵⋬⫖↰⪸2490))⪛((⫖↰⪸1A84⨲∙)⫸⇳(⫖↰⪸1901⨵⪆⫖↰⪸1109))∌↝(∡(⫖↰⪸3421⪒⫖↰⪸1210)⩼⇪↪(⫖↰⪸2A67≎⊠⪸⫖↰⪸714))","cot":[{"info":"≸≮⫖↰⪸2783=NaN","layer":3},{"info":"⫖↰⪸3A77⨑≵⋬⫖↰⪸2490=⫖↰⪸355A","layer":3},{"info":"NaN⫰⋱⫖↰⪸355A=NaN","layer":2},{"info":"⫖↰⪸1A84⨲∙=⫖↰⪸121A479A","layer":3},{"info":"⫖↰⪸1901⨵⪆⫖↰⪸1109=⫖↰⪸114","layer":3},{"info":"⫖↰⪸121A479A⫸⇳⫖↰⪸114=⫖↰⪸0","layer":2},{"info":"NaN⪛⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸3421⪒⫖↰⪸1210=⫖↰⪸-4631","layer":3},{"info":"⫖↰⪸2A67≎⊠⪸⫖↰⪸714=⫖↰⪸521498","layer":3},{"info":"⫖↰⪸-4631⩼⇪↪⫖↰⪸521498=⫖↰⪸-3037371","layer":2},{"info":"∡⫖↰⪸-3037371=⫖↰⪸16197966","layer":1},{"info":"NaN∌↝⫖↰⪸16197966=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"$3962$∋$3186$⪪($1335$⨰$2497$)↼⊘⨖($1323$↬$3654$⩧⪆(⇵⪽$1991$))⫦⪉($1299$⪨⊡$1604$⋳⪒($1182$⪉⨛$1037$))⫣⪄⊒($1042$⋣⋖$1634$∽($2082$⨵⪆$3723$))","expression":"⫖↰⪸2362∋⫖↰⪸1A16⪪(⫖↰⪸933⨰⫖↰⪸1541)↼⊘⨖(⫖↰⪸923↬⫖↰⪸2146⩧⪆(⇵⪽⫖↰⪸119B))⫦⪉(⫖↰⪸903⪨⊡⫖↰⪸B18⋳⪒(⫖↰⪸826⪉⨛⫖↰⪸725))⫣⪄⊒(⫖↰⪸72A⋣⋖⫖↰⪸B42∽(⫖↰⪸1256⨵⪆⫖↰⪸21A3))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":316,"operation_count":15,"complexity_ratio":21.066666666666666,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3962,"base":12},"right_expr":{"type":"numeric_atoms","value":3186,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1335,"base":12},"right_expr":{"type":"numeric_atoms","value":2497,"base":12}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1323,"base":12},"right_expr":{"type":"numeric_atoms","value":3654,"base":12}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1991,"base":12}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1299,"base":12},"right_expr":{"type":"numeric_atoms","value":1604,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1182,"base":12},"right_expr":{"type":"numeric_atoms","value":1037,"base":12}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1042,"base":12},"right_expr":{"type":"numeric_atoms","value":1634,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2082,"base":12},"right_expr":{"type":"numeric_atoms","value":3723,"base":12}}}}},"used_operators":["wscyQdcy20","bPywburJMS","xD69zh8xqp","ukq6epAj5P","eewbuw0ToL","Ikt5ks8PT7","B5M0gjZbta","ZGCBLdVRRX","RabNbG55vr","12rbrZMWeM","kuIXHzHcAH","EWw2JM7wp4","y4ImoPnbV5","J0M6qkBnIM","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","rGHVDoGpnC","U7g4x0WXJJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3962","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=3186, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6753744","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=2497, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1152","layer":3},{"info":"compute binary expreesion, left_input=6753744, right_input=-1152, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":2},{"info":"number node, value=1323","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=3654, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1991","layer":4},{"info":"compute unary expreesion, input=1991, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"number node, value=1299","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1604, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=1037, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2724","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2724, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3011","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1634, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1042","layer":3},{"info":"number node, value=2082","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=3723, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1042, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-5512","layer":2},{"info":"compute binary expreesion, left_input=-3011, right_input=-5512, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2362∋⫖↰⪸1A16⪪(⫖↰⪸933⨰⫖↰⪸1541)↼⊘⨖(⫖↰⪸923↬⫖↰⪸2146⩧⪆(⇵⪽⫖↰⪸119B))⫦⪉(⫖↰⪸903⪨⊡⫖↰⪸B18⋳⪒(⫖↰⪸826⪉⨛⫖↰⪸725))⫣⪄⊒(⫖↰⪸72A⋣⋖⫖↰⪸B42∽(⫖↰⪸1256⨵⪆⫖↰⪸21A3))=NaN","reverse_text":"NaN=⫖↰⪸2362∋⫖↰⪸1A16⪪(⫖↰⪸933⨰⫖↰⪸1541)↼⊘⨖(⫖↰⪸923↬⫖↰⪸2146⩧⪆(⇵⪽⫖↰⪸119B))⫦⪉(⫖↰⪸903⪨⊡⫖↰⪸B18⋳⪒(⫖↰⪸826⪉⨛⫖↰⪸725))⫣⪄⊒(⫖↰⪸72A⋣⋖⫖↰⪸B42∽(⫖↰⪸1256⨵⪆⫖↰⪸21A3))","cot":[{"info":"⫖↰⪸2362∋⫖↰⪸1A16=⫖↰⪸2318500","layer":3},{"info":"⫖↰⪸933⨰⫖↰⪸1541=⫖↰⪸-800","layer":3},{"info":"⫖↰⪸2318500⪪⫖↰⪸-800=NaN","layer":2},{"info":"⫖↰⪸923↬⫖↰⪸2146=NaN","layer":3},{"info":"⇵⪽⫖↰⪸119B=NaN","layer":3},{"info":"NaN⩧⪆NaN=NaN","layer":2},{"info":"NaN↼⊘⨖NaN=NaN","layer":1},{"info":"⫖↰⪸903⪨⊡⫖↰⪸B18=⫖↰⪸0","layer":3},{"info":"⫖↰⪸826⪉⨛⫖↰⪸725=⫖↰⪸16B0","layer":3},{"info":"⫖↰⪸0⋳⪒⫖↰⪸16B0=⫖↰⪸-18AB","layer":2},{"info":"⫖↰⪸72A⋣⋖⫖↰⪸B42=⫖↰⪸72A","layer":3},{"info":"⫖↰⪸1256⨵⪆⫖↰⪸21A3=⫖↰⪸114","layer":3},{"info":"⫖↰⪸72A∽⫖↰⪸114=⫖↰⪸-3234","layer":2},{"info":"⫖↰⪸-18AB⫣⪄⊒⫖↰⪸-3234=⫖↰⪸114","layer":1},{"info":"NaN⫦⪉⫖↰⪸114=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"(↣≠⋷$4981$)⪬($1451$⊍)⫣⪄⊒(($2933$⊎←↗)∪⫐$1000$∺≝⩲$5681$)⨸⪁((∤↝($1066$%$6874$))↸(↨$2212$)⪒⊣⊆($1689$⋣⋖$2196$))","expression":"(↣≠⋷⫖↰⪸2A71)⪬(⫖↰⪸A0B⊍)⫣⪄⊒((⫖↰⪸1845⊎←↗)∪⫐⫖↰⪸6B4∺≝⩲⫖↰⪸3355)⨸⪁((∤↝(⫖↰⪸74A%⫖↰⪸3B8A))↸(↨⫖↰⪸1344)⪒⊣⊆(⫖↰⪸B89⋣⋖⫖↰⪸1330))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":832,"operation_count":14,"complexity_ratio":59.42857142857143,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4981,"base":12}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1451,"base":12}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":2933,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1000,"base":12},"right_expr":{"type":"numeric_atoms","value":5681,"base":12}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1066,"base":12},"right_expr":{"type":"numeric_atoms","value":6874,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2212,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1689,"base":12},"right_expr":{"type":"numeric_atoms","value":2196,"base":12}}}}},"used_operators":["g55IO6H4Gj","RabNbG55vr","Ez1Nq5fNfI","Asc51vEJeQ","3nqY3DE9mg","7YooWSwCyH","dwb5p0fa6d","KPf6cnQVty","1eCjFl0mb9","3UMq87Qwqg","k8jYdgA6NY","eRqsBgTDFp","jiX4gk2v2Q","J0M6qkBnIM"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rJVOvQCfKK","2DDjHMKMc0","sdazOOVcIp","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","sdazOOVcIp","W4YGzv6Whe","rGHVDoGpnC","oZj3VtZNQx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫖↰⪸1504","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4981","layer":4},{"info":"compute unary expreesion, input=4981, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=2673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2673, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=2933","layer":4},{"info":"compute unary expreesion, input=2933, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-5181","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=5681","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=5681, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5181, right_input=160, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-5181","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-5181, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=1066","layer":4},{"info":"number node, value=6874","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=6874, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1066","layer":3},{"info":"compute unary expreesion, input=1066, 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=1066","layer":2},{"info":"number node, value=2212","layer":4},{"info":"compute unary expreesion, input=2212, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=1689","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=2196, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1689","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1689, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1066, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1066","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1066, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2452","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷⫖↰⪸2A71)⪬(⫖↰⪸A0B⊍)⫣⪄⊒((⫖↰⪸1845⊎←↗)∪⫐⫖↰⪸6B4∺≝⩲⫖↰⪸3355)⨸⪁((∤↝(⫖↰⪸74A%⫖↰⪸3B8A))↸(↨⫖↰⪸1344)⪒⊣⊆(⫖↰⪸B89⋣⋖⫖↰⪸1330))=⫖↰⪸1504","reverse_text":"⫖↰⪸1504=(↣≠⋷⫖↰⪸2A71)⪬(⫖↰⪸A0B⊍)⫣⪄⊒((⫖↰⪸1845⊎←↗)∪⫐⫖↰⪸6B4∺≝⩲⫖↰⪸3355)⨸⪁((∤↝(⫖↰⪸74A%⫖↰⪸3B8A))↸(↨⫖↰⪸1344)⪒⊣⊆(⫖↰⪸B89⋣⋖⫖↰⪸1330))","cot":[{"info":"↣≠⋷⫖↰⪸2A71=NaN","layer":3},{"info":"⫖↰⪸A0B⊍=⫖↰⪸1669","layer":3},{"info":"NaN⪬⫖↰⪸1669=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸1845⊎←↗=⫖↰⪸-2BB9","layer":3},{"info":"⫖↰⪸6B4∺≝⩲⫖↰⪸3355=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-2BB9∪⫐⫖↰⪸114=⫖↰⪸-2BB9","layer":2},{"info":"⫖↰⪸86A⫣⪄⊒⫖↰⪸-2BB9=⫖↰⪸114","layer":1},{"info":"⫖↰⪸74A%⫖↰⪸3B8A=⫖↰⪸74A","layer":3},{"info":"∤↝⫖↰⪸74A=⫖↰⪸74A","layer":2},{"info":"↨⫖↰⪸1344=NaN","layer":3},{"info":"⫖↰⪸B89⋣⋖⫖↰⪸1330=⫖↰⪸B89","layer":3},{"info":"NaN⪒⊣⊆⫖↰⪸B89=NaN","layer":2},{"info":"⫖↰⪸74A↸NaN=⫖↰⪸74A","layer":1},{"info":"⫖↰⪸114⨸⪁⫖↰⪸74A=⫖↰⪸1504","layer":0}]}
{"id":14,"expression_no_base_symbol":"((($5313$⋥≓≎$6362$)→⨶⪴(⊗$4208$))⨀⨒)⩺⋐⫨","expression":"(((⫖↰⪸30A9⋥≓≎⫖↰⪸3822)→⨶⪴(⊗⫖↰⪸2528))⨀⨒)⩺⋐⫨","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":646,"operation_count":5,"complexity_ratio":129.2,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5313,"base":12},"right_expr":{"type":"numeric_atoms","value":6362,"base":12}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4208,"base":12}}}}},"used_operators":["yS9ePUuUdn","j6NVkjMzuk","bF6eod5Gvf","Qy55tPpLXF","RhiyfpczSx"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5313","layer":4},{"info":"number node, value=6362","layer":4},{"info":"compute binary expreesion, left_input=5313, right_input=6362, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7444","layer":3},{"info":"number node, value=4208","layer":4},{"info":"compute unary expreesion, input=4208, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-8416","layer":3},{"info":"compute binary expreesion, left_input=7444, right_input=-8416, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=31688","layer":2},{"info":"compute unary expreesion, input=31688, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=440364","layer":1},{"info":"compute unary expreesion, input=440364, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸30A9⋥≓≎⫖↰⪸3822)→⨶⪴(⊗⫖↰⪸2528))⨀⨒)⩺⋐⫨=⫖↰⪸0","reverse_text":"⫖↰⪸0=(((⫖↰⪸30A9⋥≓≎⫖↰⪸3822)→⨶⪴(⊗⫖↰⪸2528))⨀⨒)⩺⋐⫨","cot":[{"info":"⫖↰⪸30A9⋥≓≎⫖↰⪸3822=⫖↰⪸4384","layer":3},{"info":"⊗⫖↰⪸2528=⫖↰⪸-4A54","layer":3},{"info":"⫖↰⪸4384→⨶⪴⫖↰⪸-4A54=⫖↰⪸16408","layer":2},{"info":"⫖↰⪸16408⨀⨒=⫖↰⪸192A10","layer":1},{"info":"⫖↰⪸192A10⩺⋐⫨=⫖↰⪸0","layer":0}]}
{"id":15,"expression_no_base_symbol":"((≋$1761$)⨐⩸⫘($1018$⪠⩆⊳))∥⊢⊲($3346$≄⊠$1050$⇴($1154$⨘⋶⪀))⨴∎","expression":"((≋⫖↰⪸1029)⨐⩸⫘(⫖↰⪸70A⪠⩆⊳))∥⊢⊲(⫖↰⪸1B2A≄⊠⫖↰⪸736⇴(⫖↰⪸802⨘⋶⪀))⨴∎","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":172,"operation_count":8,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1761,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1018,"base":12}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3346,"base":12},"right_expr":{"type":"numeric_atoms","value":1050,"base":12}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1154,"base":12}}}}},"used_operators":["CpSg5vQTgA","v1UQAVDJRr","fu6greOZ01","61wBmkZwlr","JLbD19bQDL","4JB6nKBMSY","vXNesLlMH1","XVKwrhznBb"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","EBcxylXtPf","rGHVDoGpnC","3ViojmjbAp","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1761","layer":4},{"info":"compute unary expreesion, input=1761, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1761","layer":3},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1761, 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=1761","layer":2},{"info":"number node, value=3346","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=1050, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=21468","layer":3},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=21468, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1761, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≋⫖↰⪸1029)⨐⩸⫘(⫖↰⪸70A⪠⩆⊳))∥⊢⊲(⫖↰⪸1B2A≄⊠⫖↰⪸736⇴(⫖↰⪸802⨘⋶⪀))⨴∎=NaN","reverse_text":"NaN=((≋⫖↰⪸1029)⨐⩸⫘(⫖↰⪸70A⪠⩆⊳))∥⊢⊲(⫖↰⪸1B2A≄⊠⫖↰⪸736⇴(⫖↰⪸802⨘⋶⪀))⨴∎","cot":[{"info":"≋⫖↰⪸1029=⫖↰⪸1029","layer":3},{"info":"⫖↰⪸70A⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1029⨐⩸⫘⫖↰⪸0=⫖↰⪸1029","layer":2},{"info":"⫖↰⪸1B2A≄⊠⫖↰⪸736=⫖↰⪸10510","layer":3},{"info":"⫖↰⪸802⨘⋶⪀=NaN","layer":3},{"info":"⫖↰⪸10510⇴NaN=NaN","layer":2},{"info":"⫖↰⪸1029∥⊢⊲NaN=NaN","layer":1},{"info":"NaN⨴∎=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"(∓⪦($1086$⩍⋽⫝̸$1628$⩧⪆($2077$∟)))↡⊰⫅((⩰$2511$)⨳⩥⨓$4553$∓⋝$5332$)⪭≯($5961$↺$2027$)⫯⪬∳($1863$⊲⩕⊾$4115$)","expression":"(∓⪦(⫖↰⪸766⩍⋽⫝̸⫖↰⪸B38⩧⪆(⫖↰⪸1251∟)))↡⊰⫅((⩰⫖↰⪸1553)⨳⩥⨓⫖↰⪸2775∓⋝⫖↰⪸3104)⪭≯(⫖↰⪸3549↺⫖↰⪸120B)⫯⪬∳(⫖↰⪸10B3⊲⩕⊾⫖↰⪸246B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":372,"operation_count":12,"complexity_ratio":31.0,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1086,"base":12},"right_expr":{"type":"numeric_atoms","value":1628,"base":12}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2077,"base":12}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2511,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4553,"base":12},"right_expr":{"type":"numeric_atoms","value":5332,"base":12}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5961,"base":12},"right_expr":{"type":"numeric_atoms","value":2027,"base":12}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1863,"base":12},"right_expr":{"type":"numeric_atoms","value":4115,"base":12}}}}},"used_operators":["VCtxkLNOzz","D309nIvmXG","Ikt5ks8PT7","BiWNJpBvwn","hTbEZDJLEm","XAx5wpdLa6","nCS4ZIUYfx","WkeUrDK8WX","PoHhknlbAi","d7ASUq0ydm","7j4O788W3g","DmTXOeWf9t"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eewbuw0ToL","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1628, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=682","layer":3},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=682, right_input=113, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2458","layer":1},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3511","layer":3},{"info":"number node, value=4553","layer":4},{"info":"number node, value=5332","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=5332, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-3511, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3578","layer":2},{"info":"number node, value=5961","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=5961, right_input=2027, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2027","layer":3},{"info":"number node, value=1863","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=4115, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-67588","layer":3},{"info":"compute binary expreesion, left_input=2027, right_input=-67588, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6148","layer":2},{"info":"compute binary expreesion, left_input=3578, right_input=6148, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2458, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∓⪦(⫖↰⪸766⩍⋽⫝̸⫖↰⪸B38⩧⪆(⫖↰⪸1251∟)))↡⊰⫅((⩰⫖↰⪸1553)⨳⩥⨓⫖↰⪸2775∓⋝⫖↰⪸3104)⪭≯(⫖↰⪸3549↺⫖↰⪸120B)⫯⪬∳(⫖↰⪸10B3⊲⩕⊾⫖↰⪸246B)=NaN","reverse_text":"NaN=(∓⪦(⫖↰⪸766⩍⋽⫝̸⫖↰⪸B38⩧⪆(⫖↰⪸1251∟)))↡⊰⫅((⩰⫖↰⪸1553)⨳⩥⨓⫖↰⪸2775∓⋝⫖↰⪸3104)⪭≯(⫖↰⪸3549↺⫖↰⪸120B)⫯⪬∳(⫖↰⪸10B3⊲⩕⊾⫖↰⪸246B)","cot":[{"info":"⫖↰⪸766⩍⋽⫝̸⫖↰⪸B38=⫖↰⪸48A","layer":3},{"info":"⫖↰⪸1251∟=⫖↰⪸95","layer":3},{"info":"⫖↰⪸48A⩧⪆⫖↰⪸95=⫖↰⪸-95","layer":2},{"info":"∓⪦⫖↰⪸-95=⫖↰⪸-150A","layer":1},{"info":"⩰⫖↰⪸1553=⫖↰⪸-2047","layer":3},{"info":"⫖↰⪸2775∓⋝⫖↰⪸3104=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-2047⨳⩥⨓⫖↰⪸57=⫖↰⪸20A2","layer":2},{"info":"⫖↰⪸3549↺⫖↰⪸120B=⫖↰⪸120B","layer":3},{"info":"⫖↰⪸10B3⊲⩕⊾⫖↰⪸246B=⫖↰⪸-33144","layer":3},{"info":"⫖↰⪸120B⫯⪬∳⫖↰⪸-33144=⫖↰⪸3684","layer":2},{"info":"⫖↰⪸20A2⪭≯⫖↰⪸3684=NaN","layer":1},{"info":"⫖↰⪸-150A↡⊰⫅NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"(⇵⪽(⇉-⫰($3337$⇼⇔∾$1241$)))⇐≅","expression":"(⇵⪽(⇉-⫰(⫖↰⪸1B21⇼⇔∾⫖↰⪸875)))⇐≅","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":420,"operation_count":4,"complexity_ratio":105.0,"tree":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3337,"base":12},"right_expr":{"type":"numeric_atoms","value":1241,"base":12}}}}},"used_operators":["wEfv7U73WA","ZGCBLdVRRX","IGFM8TAlm9","tifHPKVTfV"],"dependent_operators":["9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","U7g4x0WXJJ","eH2TOUuTDT","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3337","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=1241, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2096","layer":3},{"info":"compute unary expreesion, input=-2096, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇵⪽(⇉-⫰(⫖↰⪸1B21⇼⇔∾⫖↰⪸875)))⇐≅=NaN","reverse_text":"NaN=(⇵⪽(⇉-⫰(⫖↰⪸1B21⇼⇔∾⫖↰⪸875)))⇐≅","cot":[{"info":"⫖↰⪸1B21⇼⇔∾⫖↰⪸875=⫖↰⪸-1268","layer":3},{"info":"⇉-⫰⫖↰⪸-1268=⫖↰⪸18","layer":2},{"info":"⇵⪽⫖↰⪸18=NaN","layer":1},{"info":"NaN⇐≅=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"((($3997$⨑≵⋬$3230$)⩏)⨎⋸⪻)∲⫓(($4405$⊝⪿⪼$4647$)≄⊠($1794$⊾⪯⋞$4456$))⩼⇪↪($1323$⊍⩺⋍$1138$+$3654$+⪬∐$1088$)","expression":"(((⫖↰⪸2391⨑≵⋬⫖↰⪸1A52)⩏)⨎⋸⪻)∲⫓((⫖↰⪸2671⊝⪿⪼⫖↰⪸2833)≄⊠(⫖↰⪸1056⊾⪯⋞⫖↰⪸26B4))⩼⇪↪(⫖↰⪸923⊍⩺⋍⫖↰⪸7AA+⫖↰⪸2146+⪬∐⫖↰⪸768)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":623,"operation_count":11,"complexity_ratio":56.63636363636363,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3997,"base":12},"right_expr":{"type":"numeric_atoms","value":3230,"base":12}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4405,"base":12},"right_expr":{"type":"numeric_atoms","value":4647,"base":12}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1794,"base":12},"right_expr":{"type":"numeric_atoms","value":4456,"base":12}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1323,"base":12},"right_expr":{"type":"numeric_atoms","value":1138,"base":12}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3654,"base":12},"right_expr":{"type":"numeric_atoms","value":1088,"base":12}}}}},"used_operators":["i8ToyICDmI","Dk5vyLCiGd","iA2gmKZ3Wj","XnXgA4xnOs","ocnLzx9CaJ","vXNesLlMH1","3Oe9XWJUTD","HK0tfVPux8","W4YGzv6Whe","OXDGMFPWZM","2GS7woTJqF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","z6LnFrNh4i","Tcnh7f0tEr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3997","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=3230, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1246","layer":3},{"info":"compute unary expreesion, input=-1246, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=316","layer":1},{"info":"number node, value=4405","layer":4},{"info":"number node, value=4647","layer":4},{"info":"compute binary expreesion, left_input=4405, right_input=4647, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=57815","layer":3},{"info":"number node, value=1794","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=4456, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=8486","layer":3},{"info":"compute binary expreesion, left_input=57815, right_input=8486, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=140444","layer":2},{"info":"number node, value=1323","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=1138, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=3654","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=3654, right_input=1088, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10962","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10962, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=140444, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=316, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2391⨑≵⋬⫖↰⪸1A52)⩏)⨎⋸⪻)∲⫓((⫖↰⪸2671⊝⪿⪼⫖↰⪸2833)≄⊠(⫖↰⪸1056⊾⪯⋞⫖↰⪸26B4))⩼⇪↪(⫖↰⪸923⊍⩺⋍⫖↰⪸7AA+⫖↰⪸2146+⪬∐⫖↰⪸768)=NaN","reverse_text":"NaN=(((⫖↰⪸2391⨑≵⋬⫖↰⪸1A52)⩏)⨎⋸⪻)∲⫓((⫖↰⪸2671⊝⪿⪼⫖↰⪸2833)≄⊠(⫖↰⪸1056⊾⪯⋞⫖↰⪸26B4))⩼⇪↪(⫖↰⪸923⊍⩺⋍⫖↰⪸7AA+⫖↰⪸2146+⪬∐⫖↰⪸768)","cot":[{"info":"⫖↰⪸2391⨑≵⋬⫖↰⪸1A52=⫖↰⪸-87A","layer":3},{"info":"⫖↰⪸-87A⩏=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⨎⋸⪻=⫖↰⪸224","layer":1},{"info":"⫖↰⪸2671⊝⪿⪼⫖↰⪸2833=⫖↰⪸2955B","layer":3},{"info":"⫖↰⪸1056⊾⪯⋞⫖↰⪸26B4=⫖↰⪸4AB2","layer":3},{"info":"⫖↰⪸2955B≄⊠⫖↰⪸4AB2=⫖↰⪸69338","layer":2},{"info":"⫖↰⪸923⊍⩺⋍⫖↰⪸7AA=NaN","layer":3},{"info":"⫖↰⪸2146+⪬∐⫖↰⪸768=⫖↰⪸-6416","layer":3},{"info":"NaN+⫖↰⪸-6416=NaN","layer":2},{"info":"⫖↰⪸69338⩼⇪↪NaN=NaN","layer":1},{"info":"⫖↰⪸224∲⫓NaN=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"((⊤⊝(⊗$1559$))⩚⊴⇥(($4075$∪⫐$1612$)⊾⪯⋞(⇜$2823$)))∊∟⩊(⇺⋃(($8722$⨎$6419$)⨔⇊($1232$⫢⨠$7310$)))","expression":"((⊤⊝(⊗⫖↰⪸A9B))⩚⊴⇥((⫖↰⪸2437∪⫐⫖↰⪸B24)⊾⪯⋞(⇜⫖↰⪸1773)))∊∟⩊(⇺⋃((⫖↰⪸506A⨎⫖↰⪸386B)⨔⇊(⫖↰⪸868⫢⨠⫖↰⪸4292)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4528,"operation_count":11,"complexity_ratio":411.6363636363636,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1559,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4075,"base":12},"right_expr":{"type":"numeric_atoms","value":1612,"base":12}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2823,"base":12}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8722,"base":12},"right_expr":{"type":"numeric_atoms","value":6419,"base":12}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1232,"base":12},"right_expr":{"type":"numeric_atoms","value":7310,"base":12}}}}},"used_operators":["ddLRYrp01A","NTOWxs364D","rXAclfmB4M","RhiyfpczSx","HK0tfVPux8","7YooWSwCyH","lFBm8KRb8F","E5v5B3UAjG","JclMnS0uGI","rJVOvQCfKK","xlXykHWxX1"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rJVOvQCfKK","2DDjHMKMc0","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⫖↰⪸1A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1559","layer":4},{"info":"compute unary expreesion, input=1559, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3118","layer":3},{"info":"compute unary expreesion, input=-3118, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-7534","layer":2},{"info":"number node, value=4075","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=4075, right_input=1612, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4075","layer":3},{"info":"number node, value=2823","layer":4},{"info":"compute unary expreesion, input=2823, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-22992","layer":3},{"info":"compute binary expreesion, left_input=4075, right_input=-22992, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=-7534, right_input=-820, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=8233","layer":1},{"info":"number node, value=8722","layer":4},{"info":"number node, value=6419","layer":4},{"info":"compute binary expreesion, left_input=8722, right_input=6419, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6419","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=7310","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=7310, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6419, right_input=160, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=1037","layer":1},{"info":"compute binary expreesion, left_input=8233, right_input=1037, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=22","layer":0}],"base":12,"result_base":12,"text":"((⊤⊝(⊗⫖↰⪸A9B))⩚⊴⇥((⫖↰⪸2437∪⫐⫖↰⪸B24)⊾⪯⋞(⇜⫖↰⪸1773)))∊∟⩊(⇺⋃((⫖↰⪸506A⨎⫖↰⪸386B)⨔⇊(⫖↰⪸868⫢⨠⫖↰⪸4292)))=⫖↰⪸1A","reverse_text":"⫖↰⪸1A=((⊤⊝(⊗⫖↰⪸A9B))⩚⊴⇥((⫖↰⪸2437∪⫐⫖↰⪸B24)⊾⪯⋞(⇜⫖↰⪸1773)))∊∟⩊(⇺⋃((⫖↰⪸506A⨎⫖↰⪸386B)⨔⇊(⫖↰⪸868⫢⨠⫖↰⪸4292)))","cot":[{"info":"⊗⫖↰⪸A9B=⫖↰⪸-197A","layer":3},{"info":"⊤⊝⫖↰⪸-197A=⫖↰⪸-443A","layer":2},{"info":"⫖↰⪸2437∪⫐⫖↰⪸B24=⫖↰⪸2437","layer":3},{"info":"⇜⫖↰⪸1773=⫖↰⪸-11380","layer":3},{"info":"⫖↰⪸2437⊾⪯⋞⫖↰⪸-11380=⫖↰⪸-584","layer":2},{"info":"⫖↰⪸-443A⩚⊴⇥⫖↰⪸-584=⫖↰⪸4921","layer":1},{"info":"⫖↰⪸506A⨎⫖↰⪸386B=⫖↰⪸386B","layer":3},{"info":"⫖↰⪸868⫢⨠⫖↰⪸4292=⫖↰⪸114","layer":3},{"info":"⫖↰⪸386B⨔⇊⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"⇺⋃⫖↰⪸114=⫖↰⪸725","layer":1},{"info":"⫖↰⪸4921∊∟⩊⫖↰⪸725=⫖↰⪸1A","layer":0}]}
{"id":20,"expression_no_base_symbol":"(⫎≠⋺(⪡⇡≛($1133$⪓⨏)))⨂≜(≔(⊖∈$1601$∠⫱$4289$))","expression":"(⫎≠⋺(⪡⇡≛(⫖↰⪸7A5⪓⨏)))⨂≜(≔(⊖∈⫖↰⪸B15∠⫱⫖↰⪸2595))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1477,"operation_count":7,"complexity_ratio":211.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1133,"base":12}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1601,"base":12},"right_expr":{"type":"numeric_atoms","value":4289,"base":12}}}}},"used_operators":["k1SHOSEABc","LYeZOJ0nQG","qL4PrbW1Dq","4X9JU4Jbn6","8FLs4eVsLt","YFxL8Sc2Zy","QvoQhV0rrE"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"number node, value=1601","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=4289, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=19086","layer":2},{"info":"compute unary expreesion, input=19086, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-533114","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-533114, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫎≠⋺(⪡⇡≛(⫖↰⪸7A5⪓⨏)))⨂≜(≔(⊖∈⫖↰⪸B15∠⫱⫖↰⪸2595))=NaN","reverse_text":"NaN=(⫎≠⋺(⪡⇡≛(⫖↰⪸7A5⪓⨏)))⨂≜(≔(⊖∈⫖↰⪸B15∠⫱⫖↰⪸2595))","cot":[{"info":"⫖↰⪸7A5⪓⨏=NaN","layer":3},{"info":"⪡⇡≛NaN=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"⫖↰⪸B15∠⫱⫖↰⪸2595=⫖↰⪸86A","layer":3},{"info":"⊖∈⫖↰⪸86A=⫖↰⪸B066","layer":2},{"info":"≔⫖↰⪸B066=⫖↰⪸-218622","layer":1},{"info":"NaN⨂≜⫖↰⪸-218622=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"(⩪∧⨌$2786$∌$1594$⊲⩕⊾(⊗$3130$))⩚⊴⇥(⪭⩑⪱($8429$⇄$3852$)⋥⋵⩄($5405$⋭≵$2020$))","expression":"(⩪∧⨌⫖↰⪸1742∌⫖↰⪸B0A⊲⩕⊾(⊗⫖↰⪸198A))⩚⊴⇥(⪭⩑⪱(⫖↰⪸4A65⇄⫖↰⪸2290)⋥⋵⩄(⫖↰⪸3165⋭≵⫖↰⪸1204))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1583,"operation_count":9,"complexity_ratio":175.88888888888889,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2786,"base":12},"right_expr":{"type":"numeric_atoms","value":1594,"base":12}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3130,"base":12}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":8429,"base":12},"right_expr":{"type":"numeric_atoms","value":3852,"base":12}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5405,"base":12},"right_expr":{"type":"numeric_atoms","value":2020,"base":12}}}}},"used_operators":["NTOWxs364D","6iOiAJX1F8","DmTXOeWf9t","8cLx32lpNA","RhiyfpczSx","SIgE0bArFf","7t3wd0Fuz7","3EYGwJThht","jBncVCNhdl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⫖↰⪸-3121A91","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2786","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=1594, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1594","layer":3},{"info":"number node, value=3130","layer":4},{"info":"compute unary expreesion, input=3130, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6260","layer":3},{"info":"compute binary expreesion, left_input=-1594, right_input=-6260, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=93066","layer":2},{"info":"compute unary expreesion, input=93066, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=930660","layer":1},{"info":"number node, value=8429","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=8429, right_input=3852, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=5405","layer":4},{"info":"number node, value=2020","layer":4},{"info":"compute binary expreesion, left_input=5405, right_input=2020, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=930660, right_input=8320752, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9251533","layer":0}],"base":12,"result_base":12,"text":"(⩪∧⨌⫖↰⪸1742∌⫖↰⪸B0A⊲⩕⊾(⊗⫖↰⪸198A))⩚⊴⇥(⪭⩑⪱(⫖↰⪸4A65⇄⫖↰⪸2290)⋥⋵⩄(⫖↰⪸3165⋭≵⫖↰⪸1204))=⫖↰⪸-3121A91","reverse_text":"⫖↰⪸-3121A91=(⩪∧⨌⫖↰⪸1742∌⫖↰⪸B0A⊲⩕⊾(⊗⫖↰⪸198A))⩚⊴⇥(⪭⩑⪱(⫖↰⪸4A65⇄⫖↰⪸2290)⋥⋵⩄(⫖↰⪸3165⋭≵⫖↰⪸1204))","cot":[{"info":"⫖↰⪸1742∌⫖↰⪸B0A=⫖↰⪸-B0A","layer":3},{"info":"⊗⫖↰⪸198A=⫖↰⪸-3758","layer":3},{"info":"⫖↰⪸-B0A⊲⩕⊾⫖↰⪸-3758=⫖↰⪸45A36","layer":2},{"info":"⩪∧⨌⫖↰⪸45A36=⫖↰⪸38A6B0","layer":1},{"info":"⫖↰⪸4A65⇄⫖↰⪸2290=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3165⋭≵⫖↰⪸1204=⫖↰⪸57","layer":3},{"info":"⫖↰⪸0⋥⋵⩄⫖↰⪸57=⫖↰⪸95","layer":2},{"info":"⪭⩑⪱⫖↰⪸95=⫖↰⪸2953300","layer":1},{"info":"⫖↰⪸38A6B0⩚⊴⇥⫖↰⪸2953300=⫖↰⪸-3121A91","layer":0}]}
{"id":22,"expression_no_base_symbol":"≛$1578$⫯⪬∳$4283$≀⫉$2307$⨚⇆$5362$⪕($4402$⩹$1239$)≚⊃≕($1073$⪶≀⋏$2951$)","expression":"≛⫖↰⪸AB6⫯⪬∳⫖↰⪸258B≀⫉⫖↰⪸1403⨚⇆⫖↰⪸312A⪕(⫖↰⪸266A⩹⫖↰⪸873)≚⊃≕(⫖↰⪸755⪶≀⋏⫖↰⪸185B)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16419,"operation_count":8,"complexity_ratio":2052.375,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1578,"base":12},"right_expr":{"type":"numeric_atoms","value":4283,"base":12}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2307,"base":12},"right_expr":{"type":"numeric_atoms","value":5362,"base":12}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4402,"base":12},"right_expr":{"type":"numeric_atoms","value":1239,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1073,"base":12},"right_expr":{"type":"numeric_atoms","value":2951,"base":12}}}}},"used_operators":["W7eaUhjymW","umQnsF7QlU","oZj3VtZNQx","d7ASUq0ydm","lwHaAYXP2r","Bmrmz2XGnR","2Wsdkap16l","zR4jO40bMj"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⫖↰⪸-A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1578","layer":4},{"info":"number node, value=4283","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=4283, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3640","layer":3},{"info":"number node, value=2307","layer":4},{"info":"number node, value=5362","layer":4},{"info":"compute binary expreesion, left_input=2307, right_input=5362, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3640, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=4402","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=4402, right_input=1239, 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=1237","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=2951, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9353","layer":3},{"info":"compute binary expreesion, left_input=1237, right_input=-9353, 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=-13924","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-13924, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute unary expreesion, input=935, 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":0}],"base":12,"result_base":12,"text":"≛⫖↰⪸AB6⫯⪬∳⫖↰⪸258B≀⫉⫖↰⪸1403⨚⇆⫖↰⪸312A⪕(⫖↰⪸266A⩹⫖↰⪸873)≚⊃≕(⫖↰⪸755⪶≀⋏⫖↰⪸185B)=⫖↰⪸-A","reverse_text":"⫖↰⪸-A=≛⫖↰⪸AB6⫯⪬∳⫖↰⪸258B≀⫉⫖↰⪸1403⨚⇆⫖↰⪸312A⪕(⫖↰⪸266A⩹⫖↰⪸873)≚⊃≕(⫖↰⪸755⪶≀⋏⫖↰⪸185B)","cot":[{"info":"⫖↰⪸AB6⫯⪬∳⫖↰⪸258B=⫖↰⪸2134","layer":3},{"info":"⫖↰⪸1403⨚⇆⫖↰⪸312A=NaN","layer":3},{"info":"⫖↰⪸2134≀⫉NaN=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸266A⩹⫖↰⪸873=⫖↰⪸871","layer":3},{"info":"⫖↰⪸755⪶≀⋏⫖↰⪸185B=⫖↰⪸-54B5","layer":3},{"info":"⫖↰⪸871≚⊃≕⫖↰⪸-54B5=⫖↰⪸-8084","layer":2},{"info":"⫖↰⪸1772⪕⫖↰⪸-8084=⫖↰⪸65B","layer":1},{"info":"≛⫖↰⪸65B=⫖↰⪸-A","layer":0}]}
{"id":23,"expression_no_base_symbol":"(($1053$⪁$3770$)≓∲$1278$∌↝$1019$∕⩚(⨈⫕($1441$⊓⋫)))⊱⇼⊻(($8176$⩒⫫$9116$⪒$1206$⪡$2037$)⇮⋭($3281$⊱⇼⊻$2618$)≁($1153$⋖∅⋲))","expression":"((⫖↰⪸739⪁⫖↰⪸2222)≓∲⫖↰⪸8A6∌↝⫖↰⪸70B∕⩚(⨈⫕(⫖↰⪸A01⊓⋫)))⊱⇼⊻((⫖↰⪸4894⩒⫫⫖↰⪸5338⪒⫖↰⪸846⪡⫖↰⪸1219)⇮⋭(⫖↰⪸1A95⊱⇼⊻⫖↰⪸1622)≁(⫖↰⪸801⋖∅⋲))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":145866198,"operation_count":14,"complexity_ratio":10419014.142857144,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1053,"base":12},"right_expr":{"type":"numeric_atoms","value":3770,"base":12}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1278,"base":12},"right_expr":{"type":"numeric_atoms","value":1019,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1441,"base":12}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":8176,"base":12},"right_expr":{"type":"numeric_atoms","value":9116,"base":12}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1206,"base":12},"right_expr":{"type":"numeric_atoms","value":2037,"base":12}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3281,"base":12},"right_expr":{"type":"numeric_atoms","value":2618,"base":12}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1153,"base":12}}}}},"used_operators":["FyVja0WsTP","z9ffQ9n5Zr","s1XTVnmDOJ","I7sXao9hZE","9Isq31Ruls","megm06wKyl","IqGBaFP0uj","vkpjKywKVM","f6k1SAg4EE","KFSx94NKJn","oraRL2iQuh","8N2wDY1A35","L95AwlJzhO"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"⫖↰⪸5B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"number node, value=3770","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=3770, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1278","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=1019, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1569","layer":3},{"info":"compute unary expreesion, input=-1569, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=8176","layer":4},{"info":"number node, value=9116","layer":4},{"info":"compute binary expreesion, left_input=8176, right_input=9116, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7874","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=2037, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=7874, right_input=107, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7981","layer":2},{"info":"number node, value=3281","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=2618, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-384231, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-10768957","layer":2},{"info":"compute binary expreesion, left_input=-7981, right_input=-10768957, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=67, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=854","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸739⪁⫖↰⪸2222)≓∲⫖↰⪸8A6∌↝⫖↰⪸70B∕⩚(⨈⫕(⫖↰⪸A01⊓⋫)))⊱⇼⊻((⫖↰⪸4894⩒⫫⫖↰⪸5338⪒⫖↰⪸846⪡⫖↰⪸1219)⇮⋭(⫖↰⪸1A95⊱⇼⊻⫖↰⪸1622)≁(⫖↰⪸801⋖∅⋲))=⫖↰⪸5B2","reverse_text":"⫖↰⪸5B2=((⫖↰⪸739⪁⫖↰⪸2222)≓∲⫖↰⪸8A6∌↝⫖↰⪸70B∕⩚(⨈⫕(⫖↰⪸A01⊓⋫)))⊱⇼⊻((⫖↰⪸4894⩒⫫⫖↰⪸5338⪒⫖↰⪸846⪡⫖↰⪸1219)⇮⋭(⫖↰⪸1A95⊱⇼⊻⫖↰⪸1622)≁(⫖↰⪸801⋖∅⋲))","cot":[{"info":"⫖↰⪸739⪁⫖↰⪸2222=NaN","layer":3},{"info":"⫖↰⪸8A6∌↝⫖↰⪸70B=⫖↰⪸0","layer":3},{"info":"NaN≓∲⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸A01⊓⋫=⫖↰⪸-AA9","layer":3},{"info":"⨈⫕⫖↰⪸-AA9=⫖↰⪸-19","layer":2},{"info":"NaN∕⩚⫖↰⪸-19=⫖↰⪸-347","layer":1},{"info":"⫖↰⪸4894⩒⫫⫖↰⪸5338=⫖↰⪸4682","layer":3},{"info":"⫖↰⪸846⪡⫖↰⪸1219=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸4682⪒⫖↰⪸8B=⫖↰⪸-4751","layer":2},{"info":"⫖↰⪸1A95⊱⇼⊻⫖↰⪸1622=⫖↰⪸302","layer":3},{"info":"⫖↰⪸801⋖∅⋲=⫖↰⪸-166433","layer":3},{"info":"⫖↰⪸302≁⫖↰⪸-166433=⫖↰⪸-3734051","layer":2},{"info":"⫖↰⪸-4751⇮⋭⫖↰⪸-3734051=⫖↰⪸57","layer":1},{"info":"⫖↰⪸-347⊱⇼⊻⫖↰⪸57=⫖↰⪸5B2","layer":0}]}
{"id":24,"expression_no_base_symbol":"⊢≑≆(⫇(($7888$≬⋮$2268$)⇴∐(⪸$7978$)))","expression":"⊢≑≆(⫇((⫖↰⪸4694≬⋮⫖↰⪸1390)⇴∐(⪸⫖↰⪸474A)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":84,"operation_count":5,"complexity_ratio":16.8,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":7888,"base":12},"right_expr":{"type":"numeric_atoms","value":2268,"base":12}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":7978,"base":12}}}}},"used_operators":["27wFxooxGf","YjI8oCXuph","HnzytWxmAO","kbkesczE7y","86A5ENbKR9"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7888","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=7888, right_input=2268, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=7978","layer":4},{"info":"compute unary expreesion, input=7978, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-135417","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-135417, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊢≑≆(⫇((⫖↰⪸4694≬⋮⫖↰⪸1390)⇴∐(⪸⫖↰⪸474A)))=NaN","reverse_text":"NaN=⊢≑≆(⫇((⫖↰⪸4694≬⋮⫖↰⪸1390)⇴∐(⪸⫖↰⪸474A)))","cot":[{"info":"⫖↰⪸4694≬⋮⫖↰⪸1390=⫖↰⪸604","layer":3},{"info":"⪸⫖↰⪸474A=⫖↰⪸-66449","layer":3},{"info":"⫖↰⪸604⇴∐⫖↰⪸-66449=NaN","layer":2},{"info":"⫇NaN=NaN","layer":1},{"info":"⊢≑≆NaN=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"(($8216$↬$2323$*$3127$⪇≇⋚$2353$)≦≮≮)⫢⨠(($2202$⨎$2074$)⩖⊿($2078$⨒$6689$)∽(⊲⪭$4047$)⪭≯($3462$⩏))","expression":"((⫖↰⪸4908↬⫖↰⪸1417*⫖↰⪸1987⪇≇⋚⫖↰⪸1441)≦≮≮)⫢⨠((⫖↰⪸1336⨎⫖↰⪸124A)⩖⊿(⫖↰⪸1252⨒⫖↰⪸3A55)∽(⊲⪭⫖↰⪸2413)⪭≯(⫖↰⪸2006⩏))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7199,"operation_count":12,"complexity_ratio":599.9166666666666,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8216,"base":12},"right_expr":{"type":"numeric_atoms","value":2323,"base":12}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3127,"base":12},"right_expr":{"type":"numeric_atoms","value":2353,"base":12}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2202,"base":12},"right_expr":{"type":"numeric_atoms","value":2074,"base":12}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2078,"base":12},"right_expr":{"type":"numeric_atoms","value":6689,"base":12}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4047,"base":12}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":3462,"base":12}}}}},"used_operators":["xlXykHWxX1","D4vGDi5EA2","9HNa5Wba9A","B5M0gjZbta","3sJ7IOPOlU","y4ImoPnbV5","RZ5CV9rWsJ","rJVOvQCfKK","y75s1iXyHd","XAx5wpdLa6","k7HXdKtiEU","iA2gmKZ3Wj"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","i8ToyICDmI","xUOZtlo3hN","z6LnFrNh4i","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8216","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=8216, right_input=2323, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3127","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=2353, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=2202","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=2074, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2074","layer":3},{"info":"number node, value=2078","layer":4},{"info":"number node, value=6689","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=6689, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-12096","layer":3},{"info":"compute binary expreesion, left_input=2074, right_input=-12096, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-105146","layer":2},{"info":"number node, value=4047","layer":4},{"info":"compute unary expreesion, input=4047, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4221","layer":3},{"info":"number node, value=3462","layer":4},{"info":"compute unary expreesion, input=3462, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4221, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-105146, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4908↬⫖↰⪸1417*⫖↰⪸1987⪇≇⋚⫖↰⪸1441)≦≮≮)⫢⨠((⫖↰⪸1336⨎⫖↰⪸124A)⩖⊿(⫖↰⪸1252⨒⫖↰⪸3A55)∽(⊲⪭⫖↰⪸2413)⪭≯(⫖↰⪸2006⩏))=NaN","reverse_text":"NaN=((⫖↰⪸4908↬⫖↰⪸1417*⫖↰⪸1987⪇≇⋚⫖↰⪸1441)≦≮≮)⫢⨠((⫖↰⪸1336⨎⫖↰⪸124A)⩖⊿(⫖↰⪸1252⨒⫖↰⪸3A55)∽(⊲⪭⫖↰⪸2413)⪭≯(⫖↰⪸2006⩏))","cot":[{"info":"⫖↰⪸4908↬⫖↰⪸1417=NaN","layer":3},{"info":"⫖↰⪸1987⪇≇⋚⫖↰⪸1441=⫖↰⪸0","layer":3},{"info":"NaN*⫖↰⪸0=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⫖↰⪸1336⨎⫖↰⪸124A=⫖↰⪸124A","layer":3},{"info":"⫖↰⪸1252⨒⫖↰⪸3A55=⫖↰⪸-7000","layer":3},{"info":"⫖↰⪸124A⩖⊿⫖↰⪸-7000=⫖↰⪸-50A22","layer":2},{"info":"⊲⪭⫖↰⪸2413=⫖↰⪸-2539","layer":3},{"info":"⫖↰⪸2006⩏=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-2539⪭≯⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-50A22∽NaN=NaN","layer":1},{"info":"NaN⫢⨠NaN=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"(($2129$≭$2552$)⇷($4538$∙∹∝$8025$)↺($2303$∋$5241$≀⩗∶(⨴⫝$5830$)))⊝⪿⪼(($1615$⪚$1540$⪕(⊵⊁$2069$))⇌⫙⪟(≉$5049$⪎↠$1878$))","expression":"((⫖↰⪸1295≭⫖↰⪸1588)⇷(⫖↰⪸2762∙∹∝⫖↰⪸4789)↺(⫖↰⪸13BB∋⫖↰⪸3049≀⩗∶(⨴⫝⫖↰⪸345A)))⊝⪿⪼((⫖↰⪸B27⪚⫖↰⪸A84⪕(⊵⊁⫖↰⪸1245))⇌⫙⪟(≉⫖↰⪸2B09⪎↠⫖↰⪸1106))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2066,"operation_count":14,"complexity_ratio":147.57142857142858,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2129,"base":12},"right_expr":{"type":"numeric_atoms","value":2552,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4538,"base":12},"right_expr":{"type":"numeric_atoms","value":8025,"base":12}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2303,"base":12},"right_expr":{"type":"numeric_atoms","value":5241,"base":12}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":5830,"base":12}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1615,"base":12},"right_expr":{"type":"numeric_atoms","value":1540,"base":12}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2069,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5049,"base":12},"right_expr":{"type":"numeric_atoms","value":1878,"base":12}}}}},"used_operators":["3Oe9XWJUTD","7j4O788W3g","mp7IySMOzn","rxpJgHHUmx","HmxsFra2vL","8INZBEW696","ukq6epAj5P","SVb2v531z1","AFVx7xoS7T","umQnsF7QlU","HrjLwUk87U","AvED76WdY7","e1ybzncUwg","3tVxb0NHM4"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⫖↰⪸5696","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2129","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=2552, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4538","layer":4},{"info":"number node, value=8025","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=8025, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=2303","layer":4},{"info":"number node, value=5241","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=5241, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10925436","layer":3},{"info":"number node, value=5830","layer":4},{"info":"compute unary expreesion, input=5830, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=10925436, right_input=2828198, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":1},{"info":"number node, value=1615","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1540, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-206","layer":3},{"info":"number node, value=2069","layer":4},{"info":"compute unary expreesion, input=2069, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=11344","layer":3},{"info":"compute binary expreesion, left_input=-206, right_input=11344, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=5049","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=1878, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=691","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=691, 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=0, right_input=113, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9618","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1295≭⫖↰⪸1588)⇷(⫖↰⪸2762∙∹∝⫖↰⪸4789)↺(⫖↰⪸13BB∋⫖↰⪸3049≀⩗∶(⨴⫝⫖↰⪸345A)))⊝⪿⪼((⫖↰⪸B27⪚⫖↰⪸A84⪕(⊵⊁⫖↰⪸1245))⇌⫙⪟(≉⫖↰⪸2B09⪎↠⫖↰⪸1106))=⫖↰⪸5696","reverse_text":"⫖↰⪸5696=((⫖↰⪸1295≭⫖↰⪸1588)⇷(⫖↰⪸2762∙∹∝⫖↰⪸4789)↺(⫖↰⪸13BB∋⫖↰⪸3049≀⩗∶(⨴⫝⫖↰⪸345A)))⊝⪿⪼((⫖↰⪸B27⪚⫖↰⪸A84⪕(⊵⊁⫖↰⪸1245))⇌⫙⪟(≉⫖↰⪸2B09⪎↠⫖↰⪸1106))","cot":[{"info":"⫖↰⪸1295≭⫖↰⪸1588=NaN","layer":3},{"info":"⫖↰⪸2762∙∹∝⫖↰⪸4789=⫖↰⪸0","layer":3},{"info":"NaN⇷⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸13BB∋⫖↰⪸3049=⫖↰⪸37AA710","layer":3},{"info":"⨴⫝⫖↰⪸345A=⫖↰⪸B44832","layer":3},{"info":"⫖↰⪸37AA710≀⩗∶⫖↰⪸B44832=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0↺⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸B27⪚⫖↰⪸A84=⫖↰⪸-152","layer":3},{"info":"⊵⊁⫖↰⪸1245=⫖↰⪸6694","layer":3},{"info":"⫖↰⪸-152⪕⫖↰⪸6694=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸2B09⪎↠⫖↰⪸1106=⫖↰⪸114","layer":3},{"info":"≉⫖↰⪸114=⫖↰⪸497","layer":2},{"info":"⫖↰⪸-47⇌⫙⪟⫖↰⪸497=⫖↰⪸95","layer":1},{"info":"⫖↰⪸0⊝⪿⪼⫖↰⪸95=⫖↰⪸5696","layer":0}]}
{"id":27,"expression_no_base_symbol":"(($6321$⩧⪆$2061$)⫁($1111$⩺⪪$4406$)⪭≯(($1433$∁)⪄(⊆⋠$3033$)))⊢((($1445$⊪)⊨$5458$⇂≾⫗$1157$)∇⊂⋱($1161$⇤$4913$)≁($2826$⊿∆))","expression":"((⫖↰⪸37A9⩧⪆⫖↰⪸1239)⫁(⫖↰⪸787⩺⪪⫖↰⪸2672)⪭≯((⫖↰⪸9B5∁)⪄(⊆⋠⫖↰⪸1909)))⊢(((⫖↰⪸A05⊪)⊨⫖↰⪸31AA⇂≾⫗⫖↰⪸805)∇⊂⋱(⫖↰⪸809⇤⫖↰⪸2A15)≁(⫖↰⪸1776⊿∆))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":6211,"operation_count":15,"complexity_ratio":414.06666666666666,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6321,"base":12},"right_expr":{"type":"numeric_atoms","value":2061,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1111,"base":12},"right_expr":{"type":"numeric_atoms","value":4406,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1433,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3033,"base":12}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1445,"base":12}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5458,"base":12},"right_expr":{"type":"numeric_atoms","value":1157,"base":12}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1161,"base":12},"right_expr":{"type":"numeric_atoms","value":4913,"base":12}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":2826,"base":12}}}}},"used_operators":["5twsqlHp2o","XAx5wpdLa6","0ajvFaJAv0","Ikt5ks8PT7","uvdQJvN4PV","SUmda5xLS4","jdwGQqwJi5","EBhcHTkKd8","nhYeJWJD5X","vg4gO5BX6G","zVYPLywUTj","aBQ6xLxuTc","8N2wDY1A35","YSKBFp38Pu","fv3ZujxkQL"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","cHh1gJQ2o6","AHs5Up7iyr","eewbuw0ToL","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6321","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=6321, right_input=2061, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2061","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=4406","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=4406, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=-2061, right_input=-1818, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1433","layer":3},{"info":"number node, value=3033","layer":4},{"info":"compute unary expreesion, input=3033, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1433, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-208173","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-208173, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1445","layer":4},{"info":"compute unary expreesion, input=1445, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=5458","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=1157, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-676, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=1161","layer":4},{"info":"number node, value=4913","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=4913, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-27522","layer":3},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-5773","layer":3},{"info":"compute binary expreesion, left_input=-27522, right_input=-5773, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-172133","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-172133, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=344266","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=344266, 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":12,"result_base":12,"text":"((⫖↰⪸37A9⩧⪆⫖↰⪸1239)⫁(⫖↰⪸787⩺⪪⫖↰⪸2672)⪭≯((⫖↰⪸9B5∁)⪄(⊆⋠⫖↰⪸1909)))⊢(((⫖↰⪸A05⊪)⊨⫖↰⪸31AA⇂≾⫗⫖↰⪸805)∇⊂⋱(⫖↰⪸809⇤⫖↰⪸2A15)≁(⫖↰⪸1776⊿∆))=NaN","reverse_text":"NaN=((⫖↰⪸37A9⩧⪆⫖↰⪸1239)⫁(⫖↰⪸787⩺⪪⫖↰⪸2672)⪭≯((⫖↰⪸9B5∁)⪄(⊆⋠⫖↰⪸1909)))⊢(((⫖↰⪸A05⊪)⊨⫖↰⪸31AA⇂≾⫗⫖↰⪸805)∇⊂⋱(⫖↰⪸809⇤⫖↰⪸2A15)≁(⫖↰⪸1776⊿∆))","cot":[{"info":"⫖↰⪸37A9⩧⪆⫖↰⪸1239=⫖↰⪸-1239","layer":3},{"info":"⫖↰⪸787⩺⪪⫖↰⪸2672=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸-1239⫁⫖↰⪸-1076=⫖↰⪸114","layer":2},{"info":"⫖↰⪸9B5∁=⫖↰⪸9B5","layer":3},{"info":"⊆⋠⫖↰⪸1909=⫖↰⪸0","layer":3},{"info":"⫖↰⪸9B5⪄⫖↰⪸0=⫖↰⪸-A0579","layer":2},{"info":"⫖↰⪸114⪭≯⫖↰⪸-A0579=NaN","layer":1},{"info":"⫖↰⪸A05⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸31AA⇂≾⫗⫖↰⪸805=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸0⊨⫖↰⪸-484=⫖↰⪸-126","layer":2},{"info":"⫖↰⪸809⇤⫖↰⪸2A15=⫖↰⪸-13B16","layer":3},{"info":"⫖↰⪸1776⊿∆=⫖↰⪸-3411","layer":3},{"info":"⫖↰⪸-13B16≁⫖↰⪸-3411=⫖↰⪸-83745","layer":2},{"info":"⫖↰⪸-126∇⊂⋱⫖↰⪸-83745=⫖↰⪸14728A","layer":1},{"info":"NaN⊢⫖↰⪸14728A=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"(($1678$⪨⊡$5938$)⋣⋖($2964$⊵↤)⊍⩺⋍$2102$⋾⨃∁$2449$⪶≀⋏($8695$⊾⪯⋞$1138$))⨐(($3813$⩼⇪↪$1728$∠⫱(⇋↷$1277$))≭(⪡⇡≛(≤/$3103$)))","expression":"((⫖↰⪸B7A⪨⊡⫖↰⪸352A)⋣⋖(⫖↰⪸1870⊵↤)⊍⩺⋍⫖↰⪸1272⋾⨃∁⫖↰⪸1501⪶≀⋏(⫖↰⪸5047⊾⪯⋞⫖↰⪸7AA))⨐((⫖↰⪸2259⩼⇪↪⫖↰⪸1000∠⫱(⇋↷⫖↰⪸8A5))≭(⪡⇡≛(≤/⫖↰⪸1967)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2873,"operation_count":14,"complexity_ratio":205.21428571428572,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1678,"base":12},"right_expr":{"type":"numeric_atoms","value":5938,"base":12}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":2964,"base":12}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2102,"base":12},"right_expr":{"type":"numeric_atoms","value":2449,"base":12}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":8695,"base":12},"right_expr":{"type":"numeric_atoms","value":1138,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3813,"base":12},"right_expr":{"type":"numeric_atoms","value":1728,"base":12}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1277,"base":12}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3103,"base":12}}}}},"used_operators":["Noe24qw2ks","OXDGMFPWZM","J0M6qkBnIM","kuIXHzHcAH","7IPrd9c3lf","zR4jO40bMj","212REbPD9h","HK0tfVPux8","rxpJgHHUmx","QvoQhV0rrE","ocnLzx9CaJ","SWo3A1KBJH","qL4PrbW1Dq","eLAdDNolq6"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1678","layer":4},{"info":"number node, value=5938","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=5938, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2964","layer":4},{"info":"compute unary expreesion, input=2964, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=0","layer":2},{"info":"number node, value=2102","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=2449, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=59946528","layer":3},{"info":"number node, value=8695","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=8695, right_input=1138, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1850","layer":3},{"info":"compute binary expreesion, left_input=59946528, right_input=1850, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-179843516","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-179843516, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=3813","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=3813, right_input=1728, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5253","layer":3},{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=10216","layer":3},{"info":"compute binary expreesion, left_input=-5253, right_input=10216, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=3103","layer":4},{"info":"compute unary expreesion, input=3103, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2619","layer":3},{"info":"compute unary expreesion, input=-2619, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2619","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-2619, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B7A⪨⊡⫖↰⪸352A)⋣⋖(⫖↰⪸1870⊵↤)⊍⩺⋍⫖↰⪸1272⋾⨃∁⫖↰⪸1501⪶≀⋏(⫖↰⪸5047⊾⪯⋞⫖↰⪸7AA))⨐((⫖↰⪸2259⩼⇪↪⫖↰⪸1000∠⫱(⇋↷⫖↰⪸8A5))≭(⪡⇡≛(≤/⫖↰⪸1967)))=NaN","reverse_text":"NaN=((⫖↰⪸B7A⪨⊡⫖↰⪸352A)⋣⋖(⫖↰⪸1870⊵↤)⊍⩺⋍⫖↰⪸1272⋾⨃∁⫖↰⪸1501⪶≀⋏(⫖↰⪸5047⊾⪯⋞⫖↰⪸7AA))⨐((⫖↰⪸2259⩼⇪↪⫖↰⪸1000∠⫱(⇋↷⫖↰⪸8A5))≭(⪡⇡≛(≤/⫖↰⪸1967)))","cot":[{"info":"⫖↰⪸B7A⪨⊡⫖↰⪸352A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1870⊵↤=⫖↰⪸57","layer":3},{"info":"⫖↰⪸0⋣⋖⫖↰⪸57=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1272⋾⨃∁⫖↰⪸1501=⫖↰⪸180AB340","layer":3},{"info":"⫖↰⪸5047⊾⪯⋞⫖↰⪸7AA=⫖↰⪸10A2","layer":3},{"info":"⫖↰⪸180AB340⪶≀⋏⫖↰⪸10A2=⫖↰⪸-50290138","layer":2},{"info":"⫖↰⪸0⊍⩺⋍⫖↰⪸-50290138=NaN","layer":1},{"info":"⫖↰⪸2259⩼⇪↪⫖↰⪸1000=⫖↰⪸-3059","layer":3},{"info":"⇋↷⫖↰⪸8A5=⫖↰⪸5AB4","layer":3},{"info":"⫖↰⪸-3059∠⫱⫖↰⪸5AB4=⫖↰⪸86A","layer":2},{"info":"≤/⫖↰⪸1967=⫖↰⪸-1623","layer":3},{"info":"⪡⇡≛⫖↰⪸-1623=⫖↰⪸-1623","layer":2},{"info":"⫖↰⪸86A≭⫖↰⪸-1623=NaN","layer":1},{"info":"NaN⨐NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"($6162$⇂≾⫗$2571$≚⊃≕($2370$∌↝$1115$)⩺⪪(⊤⊝$1577$)↢(⨝⨆$4658$))⨱∎","expression":"(⫖↰⪸3696⇂≾⫗⫖↰⪸15A3≚⊃≕(⫖↰⪸1456∌↝⫖↰⪸78B)⩺⪪(⊤⊝⫖↰⪸AB5)↢(⨝⨆⫖↰⪸2842))⨱∎","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":244,"operation_count":8,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":6162,"base":12},"right_expr":{"type":"numeric_atoms","value":2571,"base":12}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2370,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1577,"base":12}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4658,"base":12}}}}},"used_operators":["MmTdOpaElr","uvdQJvN4PV","Bmrmz2XGnR","aBQ6xLxuTc","9Isq31Ruls","WR6HLWljOP","rXAclfmB4M","bQ67fsrMVf"],"dependent_operators":["tifHPKVTfV","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sdazOOVcIp","tifHPKVTfV"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6162","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=6162, right_input=2571, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2370","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=1115, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-2870","layer":2},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1856","layer":3},{"info":"number node, value=4658","layer":4},{"info":"compute unary expreesion, input=4658, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=4449","layer":3},{"info":"compute binary expreesion, left_input=1856, right_input=4449, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1372","layer":2},{"info":"compute binary expreesion, left_input=-2870, right_input=1372, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute unary expreesion, input=-1818, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3696⇂≾⫗⫖↰⪸15A3≚⊃≕(⫖↰⪸1456∌↝⫖↰⪸78B)⩺⪪(⊤⊝⫖↰⪸AB5)↢(⨝⨆⫖↰⪸2842))⨱∎=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸3696⇂≾⫗⫖↰⪸15A3≚⊃≕(⫖↰⪸1456∌↝⫖↰⪸78B)⩺⪪(⊤⊝⫖↰⪸AB5)↢(⨝⨆⫖↰⪸2842))⨱∎","cot":[{"info":"⫖↰⪸3696⇂≾⫗⫖↰⪸15A3=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸1456∌↝⫖↰⪸78B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-484≚⊃≕⫖↰⪸0=⫖↰⪸-17B2","layer":2},{"info":"⊤⊝⫖↰⪸AB5=⫖↰⪸10A8","layer":3},{"info":"⨝⨆⫖↰⪸2842=⫖↰⪸26A9","layer":3},{"info":"⫖↰⪸10A8↢⫖↰⪸26A9=⫖↰⪸964","layer":2},{"info":"⫖↰⪸-17B2⩺⪪⫖↰⪸964=⫖↰⪸-1076","layer":1},{"info":"⫖↰⪸-1076⨱∎=⫖↰⪸0","layer":0}]}
{"id":30,"expression_no_base_symbol":"⊗(⨙⪌(⨂⪏⇭($1070$⫚↹⊑$1387$)))","expression":"⊗(⨙⪌(⨂⪏⇭(⫖↰⪸752⫚↹⊑⫖↰⪸977)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":957,"operation_count":4,"complexity_ratio":239.25,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1070,"base":12},"right_expr":{"type":"numeric_atoms","value":1387,"base":12}}}}},"used_operators":["RhiyfpczSx","vEGLkm4Z2k","AYdpE9sXAk","dfKe02y8D2"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⫖↰⪸-1008","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1387, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-2320","layer":2},{"info":"compute unary expreesion, input=-2320, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-1736","layer":0}],"base":12,"result_base":12,"text":"⊗(⨙⪌(⨂⪏⇭(⫖↰⪸752⫚↹⊑⫖↰⪸977)))=⫖↰⪸-1008","reverse_text":"⫖↰⪸-1008=⊗(⨙⪌(⨂⪏⇭(⫖↰⪸752⫚↹⊑⫖↰⪸977)))","cot":[{"info":"⫖↰⪸752⫚↹⊑⫖↰⪸977=⫖↰⪸-313","layer":3},{"info":"⨂⪏⇭⫖↰⪸-313=⫖↰⪸-1414","layer":2},{"info":"⨙⪌⫖↰⪸-1414=⫖↰⪸604","layer":1},{"info":"⊗⫖↰⪸604=⫖↰⪸-1008","layer":0}]}
{"id":31,"expression_no_base_symbol":"((≸≮$8073$)⩌⋺($5556$↬$1646$)⪉⨛(≉$3778$)≭$4275$⪔⊥$1058$)+⇶⊼(⨑⩽⪐(⨙⪌($2248$⪡$1018$)))","expression":"((≸≮⫖↰⪸4809)⩌⋺(⫖↰⪸3270↬⫖↰⪸B52)⪉⨛(≉⫖↰⪸222A)≭⫖↰⪸2583⪔⊥⫖↰⪸742)+⇶⊼(⨑⩽⪐(⨙⪌(⫖↰⪸1374⪡⫖↰⪸70A)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11806,"operation_count":11,"complexity_ratio":1073.2727272727273,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":8073,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5556,"base":12},"right_expr":{"type":"numeric_atoms","value":1646,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3778,"base":12}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4275,"base":12},"right_expr":{"type":"numeric_atoms","value":1058,"base":12}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2248,"base":12},"right_expr":{"type":"numeric_atoms","value":1018,"base":12}}}}},"used_operators":["TpPTUOHfaN","EWw2JM7wp4","g7Hmc5v1ko","AljMvE3RRm","B5M0gjZbta","rxpJgHHUmx","e1ybzncUwg","HJ9erzHUuu","AF7qkfDlqP","vEGLkm4Z2k","oraRL2iQuh"],"dependent_operators":["AHs5Up7iyr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8073","layer":4},{"info":"compute unary expreesion, input=8073, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=5556","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=5556, right_input=1646, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"number node, value=3778","layer":4},{"info":"compute unary expreesion, input=3778, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4309","layer":3},{"info":"number node, value=4275","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=4275, right_input=1058, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=14785","layer":3},{"info":"compute binary expreesion, left_input=4309, right_input=14785, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=2248","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=1018, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-595","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-595, 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":12,"result_base":12,"text":"((≸≮⫖↰⪸4809)⩌⋺(⫖↰⪸3270↬⫖↰⪸B52)⪉⨛(≉⫖↰⪸222A)≭⫖↰⪸2583⪔⊥⫖↰⪸742)+⇶⊼(⨑⩽⪐(⨙⪌(⫖↰⪸1374⪡⫖↰⪸70A)))=NaN","reverse_text":"NaN=((≸≮⫖↰⪸4809)⩌⋺(⫖↰⪸3270↬⫖↰⪸B52)⪉⨛(≉⫖↰⪸222A)≭⫖↰⪸2583⪔⊥⫖↰⪸742)+⇶⊼(⨑⩽⪐(⨙⪌(⫖↰⪸1374⪡⫖↰⪸70A)))","cot":[{"info":"≸≮⫖↰⪸4809=NaN","layer":3},{"info":"⫖↰⪸3270↬⫖↰⪸B52=NaN","layer":3},{"info":"NaN⩌⋺NaN=NaN","layer":2},{"info":"≉⫖↰⪸222A=⫖↰⪸25B1","layer":3},{"info":"⫖↰⪸2583⪔⊥⫖↰⪸742=⫖↰⪸8681","layer":3},{"info":"⫖↰⪸25B1≭⫖↰⪸8681=NaN","layer":2},{"info":"NaN⪉⨛NaN=NaN","layer":1},{"info":"⫖↰⪸1374⪡⫖↰⪸70A=⫖↰⪸8B","layer":3},{"info":"⨙⪌⫖↰⪸8B=⫖↰⪸604","layer":2},{"info":"⨑⩽⪐⫖↰⪸604=⫖↰⪸-417","layer":1},{"info":"NaN+⇶⊼⫖↰⪸-417=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"(⨈⫕$1677$≌$2657$⨪↰⇹($2219$⊝))⨵⪆($1040$⩵∡$3714$)⫣⪄⊒$2568$⋕⪉⪜$1399$⨽(⩰$1094$)≬⇓(⊥$5816$)","expression":"(⨈⫕⫖↰⪸B79≌⫖↰⪸1655⨪↰⇹(⫖↰⪸134B⊝))⨵⪆(⫖↰⪸728⩵∡⫖↰⪸2196)⫣⪄⊒⫖↰⪸15A0⋕⪉⪜⫖↰⪸987⨽(⩰⫖↰⪸772)≬⇓(⊥⫖↰⪸3448)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24004,"operation_count":12,"complexity_ratio":2000.3333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1677,"base":12},"right_expr":{"type":"numeric_atoms","value":2657,"base":12}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":2219,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1040,"base":12},"right_expr":{"type":"numeric_atoms","value":3714,"base":12}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2568,"base":12},"right_expr":{"type":"numeric_atoms","value":1399,"base":12}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1094,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5816,"base":12}}}}},"used_operators":["2DQ55sFlQl","megm06wKyl","tmPS8pqC7x","lyWz822IDG","O6EZ0fifGK","8HhzD0ZcuI","RabNbG55vr","Y7wcNGrDQJ","z6LnFrNh4i","jWTQ2TZYIH","WkeUrDK8WX","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","fu6greOZ01"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1677","layer":4},{"info":"number node, value=2657","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=2657, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2219","layer":4},{"info":"compute unary expreesion, input=2219, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2219","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2219, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=1040","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=3714, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1513","layer":3},{"info":"number node, value=2568","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=1399, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=1513, right_input=2802, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14298","layer":2},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2094","layer":3},{"info":"number node, value=5816","layer":4},{"info":"compute unary expreesion, input=5816, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2094, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=44091686","layer":2},{"info":"compute binary expreesion, left_input=-14298, right_input=44091686, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-745572156","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-745572156, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕⫖↰⪸B79≌⫖↰⪸1655⨪↰⇹(⫖↰⪸134B⊝))⨵⪆(⫖↰⪸728⩵∡⫖↰⪸2196)⫣⪄⊒⫖↰⪸15A0⋕⪉⪜⫖↰⪸987⨽(⩰⫖↰⪸772)≬⇓(⊥⫖↰⪸3448)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⨈⫕⫖↰⪸B79≌⫖↰⪸1655⨪↰⇹(⫖↰⪸134B⊝))⨵⪆(⫖↰⪸728⩵∡⫖↰⪸2196)⫣⪄⊒⫖↰⪸15A0⋕⪉⪜⫖↰⪸987⨽(⩰⫖↰⪸772)≬⇓(⊥⫖↰⪸3448)","cot":[{"info":"⫖↰⪸B79≌⫖↰⪸1655=NaN","layer":3},{"info":"⫖↰⪸134B⊝=⫖↰⪸134B","layer":3},{"info":"NaN⨪↰⇹⫖↰⪸134B=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸728⩵∡⫖↰⪸2196=⫖↰⪸A61","layer":3},{"info":"⫖↰⪸15A0⋕⪉⪜⫖↰⪸987=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸A61⫣⪄⊒⫖↰⪸1756=⫖↰⪸-8336","layer":2},{"info":"⩰⫖↰⪸772=⫖↰⪸-1266","layer":3},{"info":"⊥⫖↰⪸3448=NaN","layer":3},{"info":"⫖↰⪸-1266≬⇓NaN=⫖↰⪸12924032","layer":2},{"info":"⫖↰⪸-8336⨽⫖↰⪸12924032=⫖↰⪸-189835450","layer":1},{"info":"⫖↰⪸-19⨵⪆⫖↰⪸-189835450=⫖↰⪸114","layer":0}]}
{"id":33,"expression_no_base_symbol":"(≉($2646$⫒⫫$2469$)∊∟⩊($4324$⋛$5846$))⊴($1446$⪥$4962$∝$1454$↳≱$1681$↡⊰⫅$8598$∣$4977$≀⩗∶(⊤⊝$4835$))","expression":"(≉(⫖↰⪸1646⫒⫫⫖↰⪸1519)∊∟⩊(⫖↰⪸2604⋛⫖↰⪸3472))⊴(⫖↰⪸A06⪥⫖↰⪸2A56∝⫖↰⪸A12↳≱⫖↰⪸B81↡⊰⫅⫖↰⪸4B86∣⫖↰⪸2A69≀⩗∶(⊤⊝⫖↰⪸296B))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":429,"operation_count":12,"complexity_ratio":35.75,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2646,"base":12},"right_expr":{"type":"numeric_atoms","value":2469,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4324,"base":12},"right_expr":{"type":"numeric_atoms","value":5846,"base":12}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1446,"base":12},"right_expr":{"type":"numeric_atoms","value":4962,"base":12}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1454,"base":12},"right_expr":{"type":"numeric_atoms","value":1681,"base":12}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":8598,"base":12},"right_expr":{"type":"numeric_atoms","value":4977,"base":12}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":4835,"base":12}}}}},"used_operators":["Nsiff2A1zJ","e1ybzncUwg","ddLRYrp01A","6Ko8hGgeMq","YbUVn0Rbpy","VCtxkLNOzz","cTDWOvIxvz","QbnwKVWMIQ","JwTKLfZU96","8INZBEW696","PPChnnnBFF","rXAclfmB4M"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","7j4O788W3g","W4YGzv6Whe","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp"],"result":"⫖↰⪸-67","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2646","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=2469, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=4324","layer":4},{"info":"number node, value=5846","layer":4},{"info":"compute binary expreesion, left_input=4324, right_input=5846, 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=-93276","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-93276, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-93276","layer":2},{"info":"compute unary expreesion, input=-93276, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-93276","layer":1},{"info":"number node, value=1446","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=4962, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10436","layer":3},{"info":"number node, value=1454","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=1681, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10436, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=10441","layer":2},{"info":"number node, value=8598","layer":4},{"info":"number node, value=4977","layer":4},{"info":"compute binary expreesion, left_input=8598, right_input=4977, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=8598","layer":3},{"info":"number node, value=4835","layer":4},{"info":"compute unary expreesion, input=4835, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=8372","layer":3},{"info":"compute binary expreesion, left_input=8598, right_input=8372, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=10441, 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":1},{"info":"compute binary expreesion, left_input=-93276, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":12,"result_base":12,"text":"(≉(⫖↰⪸1646⫒⫫⫖↰⪸1519)∊∟⩊(⫖↰⪸2604⋛⫖↰⪸3472))⊴(⫖↰⪸A06⪥⫖↰⪸2A56∝⫖↰⪸A12↳≱⫖↰⪸B81↡⊰⫅⫖↰⪸4B86∣⫖↰⪸2A69≀⩗∶(⊤⊝⫖↰⪸296B))=⫖↰⪸-67","reverse_text":"⫖↰⪸-67=(≉(⫖↰⪸1646⫒⫫⫖↰⪸1519)∊∟⩊(⫖↰⪸2604⋛⫖↰⪸3472))⊴(⫖↰⪸A06⪥⫖↰⪸2A56∝⫖↰⪸A12↳≱⫖↰⪸B81↡⊰⫅⫖↰⪸4B86∣⫖↰⪸2A69≀⩗∶(⊤⊝⫖↰⪸296B))","cot":[{"info":"⫖↰⪸1646⫒⫫⫖↰⪸1519=NaN","layer":3},{"info":"⫖↰⪸2604⋛⫖↰⪸3472=⫖↰⪸-45B90","layer":3},{"info":"NaN∊∟⩊⫖↰⪸-45B90=⫖↰⪸-45B90","layer":2},{"info":"≉⫖↰⪸-45B90=⫖↰⪸-45B90","layer":1},{"info":"⫖↰⪸A06⪥⫖↰⪸2A56=⫖↰⪸6058","layer":3},{"info":"⫖↰⪸A12↳≱⫖↰⪸B81=⫖↰⪸0","layer":3},{"info":"⫖↰⪸6058∝⫖↰⪸0=⫖↰⪸6061","layer":2},{"info":"⫖↰⪸4B86∣⫖↰⪸2A69=⫖↰⪸4B86","layer":3},{"info":"⊤⊝⫖↰⪸296B=⫖↰⪸4A18","layer":3},{"info":"⫖↰⪸4B86≀⩗∶⫖↰⪸4A18=⫖↰⪸0","layer":2},{"info":"⫖↰⪸6061↡⊰⫅⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-45B90⊴⫖↰⪸0=⫖↰⪸-67","layer":0}]}
{"id":34,"expression_no_base_symbol":"≻⋜(($1913$⇂≾⫗$4015$⫥∨⫟(≻⋜$2219$))⋛($2081$⪛⫼$1347$)↹⊜($5807$∙⊟$2966$))","expression":"≻⋜((⫖↰⪸1135⇂≾⫗⫖↰⪸23A7⫥∨⫟(≻⋜⫖↰⪸134B))⋛(⫖↰⪸1255⪛⫼⫖↰⪸943)↹⊜(⫖↰⪸343B∙⊟⫖↰⪸1872))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2053437,"operation_count":8,"complexity_ratio":256679.625,"tree":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1913,"base":12},"right_expr":{"type":"numeric_atoms","value":4015,"base":12}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2219,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2081,"base":12},"right_expr":{"type":"numeric_atoms","value":1347,"base":12}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5807,"base":12},"right_expr":{"type":"numeric_atoms","value":2966,"base":12}}}}},"used_operators":["3tj9sqzovi","YbUVn0Rbpy","KYD54nUTWz","aBQ6xLxuTc","9bazX3JMtO","hyuBjUqXlG","SxTAKzQCrw"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","8HhzD0ZcuI","rGHVDoGpnC","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=4015, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2219","layer":4},{"info":"compute unary expreesion, input=2219, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2081","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1347, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=5807","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=5807, right_input=2966, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=85337","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=85337, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-339508","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-339508, 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=-1017879","layer":1},{"info":"compute unary expreesion, input=-1017879, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≻⋜((⫖↰⪸1135⇂≾⫗⫖↰⪸23A7⫥∨⫟(≻⋜⫖↰⪸134B))⋛(⫖↰⪸1255⪛⫼⫖↰⪸943)↹⊜(⫖↰⪸343B∙⊟⫖↰⪸1872))=NaN","reverse_text":"NaN=≻⋜((⫖↰⪸1135⇂≾⫗⫖↰⪸23A7⫥∨⫟(≻⋜⫖↰⪸134B))⋛(⫖↰⪸1255⪛⫼⫖↰⪸943)↹⊜(⫖↰⪸343B∙⊟⫖↰⪸1872))","cot":[{"info":"⫖↰⪸1135⇂≾⫗⫖↰⪸23A7=⫖↰⪸-484","layer":3},{"info":"≻⋜⫖↰⪸134B=NaN","layer":3},{"info":"⫖↰⪸-484⫥∨⫟NaN=NaN","layer":2},{"info":"⫖↰⪸1255⪛⫼⫖↰⪸943=⫖↰⪸688","layer":3},{"info":"⫖↰⪸343B∙⊟⫖↰⪸1872=⫖↰⪸41475","layer":3},{"info":"⫖↰⪸688↹⊜⫖↰⪸41475=⫖↰⪸-144584","layer":2},{"info":"NaN⋛⫖↰⪸-144584=⫖↰⪸-411073","layer":1},{"info":"≻⋜⫖↰⪸-411073=NaN","layer":0}]}
{"id":35,"expression_no_base_symbol":"($2410$⋕⪉⪜$2059$⊜)⋹⋡⊁(($2627$↠)⊍⩺⋍$2978$⋝⋈⪟$2301$)↳≱((≦∁($4158$⩘))+⇶⊼($1318$⨔≚≋$1024$)⩣⫁∢(⊿$2000$))","expression":"(⫖↰⪸148A⋕⪉⪜⫖↰⪸1237⊜)⋹⋡⊁((⫖↰⪸162B↠)⊍⩺⋍⫖↰⪸1882⋝⋈⪟⫖↰⪸13B9)↳≱((≦∁(⫖↰⪸24A6⩘))+⇶⊼(⫖↰⪸91A⨔≚≋⫖↰⪸714)⩣⫁∢(⊿⫖↰⪸11A8))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":510,"operation_count":13,"complexity_ratio":39.23076923076923,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2410,"base":12},"right_expr":{"type":"numeric_atoms","value":2059,"base":12}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":2627,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2978,"base":12},"right_expr":{"type":"numeric_atoms","value":2301,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":4158,"base":12}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1318,"base":12},"right_expr":{"type":"numeric_atoms","value":1024,"base":12}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2000,"base":12}}}}},"used_operators":["JwTKLfZU96","As8RqfVLgs","Eev2Q7dYIw","z6LnFrNh4i","OXDGMFPWZM","LBdsKIvxzf","2DDjHMKMc0","TpPTUOHfaN","9ICcGScMcE","wvHyciQT5X","JDUIKTTSIa","Z57zeUYC9z","DO4fhlbJSI"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9ICcGScMcE","dfKe02y8D2","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2410","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=2059, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-9472","layer":2},{"info":"number node, value=2627","layer":4},{"info":"compute unary expreesion, input=2627, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=2978","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=2978, right_input=2301, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2978","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2978, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9472, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=151290","layer":1},{"info":"number node, value=4158","layer":4},{"info":"compute unary expreesion, input=4158, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1124","layer":2},{"info":"number node, value=1318","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=1024, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2000","layer":4},{"info":"compute unary expreesion, input=2000, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-8738","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-8738, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-19583","layer":2},{"info":"compute binary expreesion, left_input=-1124, right_input=-19583, 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=151290, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸148A⋕⪉⪜⫖↰⪸1237⊜)⋹⋡⊁((⫖↰⪸162B↠)⊍⩺⋍⫖↰⪸1882⋝⋈⪟⫖↰⪸13B9)↳≱((≦∁(⫖↰⪸24A6⩘))+⇶⊼(⫖↰⪸91A⨔≚≋⫖↰⪸714)⩣⫁∢(⊿⫖↰⪸11A8))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸148A⋕⪉⪜⫖↰⪸1237⊜)⋹⋡⊁((⫖↰⪸162B↠)⊍⩺⋍⫖↰⪸1882⋝⋈⪟⫖↰⪸13B9)↳≱((≦∁(⫖↰⪸24A6⩘))+⇶⊼(⫖↰⪸91A⨔≚≋⫖↰⪸714)⩣⫁∢(⊿⫖↰⪸11A8))","cot":[{"info":"⫖↰⪸148A⋕⪉⪜⫖↰⪸1237=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸1756⊜=⫖↰⪸-5594","layer":2},{"info":"⫖↰⪸162B↠=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1882⋝⋈⪟⫖↰⪸13B9=⫖↰⪸1882","layer":3},{"info":"⫖↰⪸-313⊍⩺⋍⫖↰⪸1882=NaN","layer":2},{"info":"⫖↰⪸-5594⋹⋡⊁NaN=⫖↰⪸73676","layer":1},{"info":"⫖↰⪸24A6⩘=⫖↰⪸57","layer":3},{"info":"≦∁⫖↰⪸57=⫖↰⪸-798","layer":2},{"info":"⫖↰⪸91A⨔≚≋⫖↰⪸714=⫖↰⪸5868","layer":3},{"info":"⊿⫖↰⪸11A8=⫖↰⪸-5082","layer":3},{"info":"⫖↰⪸5868⩣⫁∢⫖↰⪸-5082=⫖↰⪸-B3BB","layer":2},{"info":"⫖↰⪸-798+⇶⊼⫖↰⪸-B3BB=NaN","layer":1},{"info":"⫖↰⪸73676↳≱NaN=⫖↰⪸0","layer":0}]}
{"id":36,"expression_no_base_symbol":"(⇋↷(↴⪽⋼$4169$≁$2061$))∷(≔$1883$⩣⫁∢$2022$)⪘⫢($2174$≠≀$1002$)⊬⨰($1857$⨟⋌⩍$3992$)","expression":"(⇋↷(↴⪽⋼⫖↰⪸24B5≁⫖↰⪸1239))∷(≔⫖↰⪸110B⩣⫁∢⫖↰⪸1206)⪘⫢(⫖↰⪸1312≠≀⫖↰⪸6B6)⊬⨰(⫖↰⪸10A9⨟⋌⩍⫖↰⪸2388)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":166,"operation_count":10,"complexity_ratio":16.6,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4169,"base":12},"right_expr":{"type":"numeric_atoms","value":2061,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1883,"base":12},"right_expr":{"type":"numeric_atoms","value":2022,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2174,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1857,"base":12},"right_expr":{"type":"numeric_atoms","value":3992,"base":12}}}}},"used_operators":["D3AQDKkPcf","SWo3A1KBJH","5TUYCnJO6w","8N2wDY1A35","oacrs7FA3X","8FLs4eVsLt","JDUIKTTSIa","s3Fd5m9Dh2","IwW236VD4Y","rGHVDoGpnC"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4169","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=4169, right_input=2061, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=36263","layer":3},{"info":"compute unary expreesion, input=36263, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=36263","layer":2},{"info":"compute unary expreesion, input=36263, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=290104","layer":1},{"info":"number node, value=1883","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=2022, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3605","layer":3},{"info":"compute unary expreesion, input=-3605, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=102234","layer":2},{"info":"number node, value=2174","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2174, right_input=1002, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4042","layer":3},{"info":"number node, value=1857","layer":4},{"info":"number node, value=3992","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=3992, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4042, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=102234, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=290104, 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":12,"result_base":12,"text":"(⇋↷(↴⪽⋼⫖↰⪸24B5≁⫖↰⪸1239))∷(≔⫖↰⪸110B⩣⫁∢⫖↰⪸1206)⪘⫢(⫖↰⪸1312≠≀⫖↰⪸6B6)⊬⨰(⫖↰⪸10A9⨟⋌⩍⫖↰⪸2388)=NaN","reverse_text":"NaN=(⇋↷(↴⪽⋼⫖↰⪸24B5≁⫖↰⪸1239))∷(≔⫖↰⪸110B⩣⫁∢⫖↰⪸1206)⪘⫢(⫖↰⪸1312≠≀⫖↰⪸6B6)⊬⨰(⫖↰⪸10A9⨟⋌⩍⫖↰⪸2388)","cot":[{"info":"⫖↰⪸24B5≁⫖↰⪸1239=⫖↰⪸18B9B","layer":3},{"info":"↴⪽⋼⫖↰⪸18B9B=⫖↰⪸18B9B","layer":2},{"info":"⇋↷⫖↰⪸18B9B=⫖↰⪸11BA74","layer":1},{"info":"⫖↰⪸110B⩣⫁∢⫖↰⪸1206=⫖↰⪸-2105","layer":3},{"info":"≔⫖↰⪸-2105=⫖↰⪸4B1B6","layer":2},{"info":"⫖↰⪸1312≠≀⫖↰⪸6B6=⫖↰⪸-240A","layer":3},{"info":"⫖↰⪸10A9⨟⋌⩍⫖↰⪸2388=NaN","layer":3},{"info":"⫖↰⪸-240A⊬⨰NaN=NaN","layer":2},{"info":"⫖↰⪸4B1B6⪘⫢NaN=NaN","layer":1},{"info":"⫖↰⪸11BA74∷NaN=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"(($3429$⩣⫁∢$3203$⫃⨇$3930$⩧⪆$2001$)⨒(($5435$⊮⊟↴$2059$)↦))⨚⇆(↓⇌(($5372$⫦⪉$1345$)≒∊($1490$⨔≚≋$6612$)))","expression":"((⫖↰⪸1B99⩣⫁∢⫖↰⪸1A2B⫃⨇⫖↰⪸2336⩧⪆⫖↰⪸11A9)⨒((⫖↰⪸318B⊮⊟↴⫖↰⪸1237)↦))⨚⇆(↓⇌((⫖↰⪸3138⫦⪉⫖↰⪸941)≒∊(⫖↰⪸A42⨔≚≋⫖↰⪸39B0)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":257,"operation_count":11,"complexity_ratio":23.363636363636363,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3429,"base":12},"right_expr":{"type":"numeric_atoms","value":3203,"base":12}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3930,"base":12},"right_expr":{"type":"numeric_atoms","value":2001,"base":12}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5435,"base":12},"right_expr":{"type":"numeric_atoms","value":2059,"base":12}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5372,"base":12},"right_expr":{"type":"numeric_atoms","value":1345,"base":12}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1490,"base":12},"right_expr":{"type":"numeric_atoms","value":6612,"base":12}}}}},"used_operators":["lwHaAYXP2r","y75s1iXyHd","09Ly4LVMIf","JDUIKTTSIa","Ikt5ks8PT7","fFznvYxMfW","QDVgd2eftb","PxpmPgHHJV","5KTvxBwnZo","wscyQdcy20","Z57zeUYC9z"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eewbuw0ToL","t8gj7n24qd","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⫖↰⪸-457A6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3429","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=3203, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6697","layer":3},{"info":"number node, value=3930","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=2001, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2001","layer":3},{"info":"compute binary expreesion, left_input=-6697, right_input=-2001, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=7972","layer":2},{"info":"number node, value=5435","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=5435, right_input=2059, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-68","layer":2},{"info":"compute binary expreesion, left_input=7972, right_input=-68, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"number node, value=5372","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=5372, right_input=1345, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5844","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=6612","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=6612, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-5844, right_input=9872, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=6328","layer":2},{"info":"compute unary expreesion, input=6328, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=6328","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6328, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-92718","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1B99⩣⫁∢⫖↰⪸1A2B⫃⨇⫖↰⪸2336⩧⪆⫖↰⪸11A9)⨒((⫖↰⪸318B⊮⊟↴⫖↰⪸1237)↦))⨚⇆(↓⇌((⫖↰⪸3138⫦⪉⫖↰⪸941)≒∊(⫖↰⪸A42⨔≚≋⫖↰⪸39B0)))=⫖↰⪸-457A6","reverse_text":"⫖↰⪸-457A6=((⫖↰⪸1B99⩣⫁∢⫖↰⪸1A2B⫃⨇⫖↰⪸2336⩧⪆⫖↰⪸11A9)⨒((⫖↰⪸318B⊮⊟↴⫖↰⪸1237)↦))⨚⇆(↓⇌((⫖↰⪸3138⫦⪉⫖↰⪸941)≒∊(⫖↰⪸A42⨔≚≋⫖↰⪸39B0)))","cot":[{"info":"⫖↰⪸1B99⩣⫁∢⫖↰⪸1A2B=⫖↰⪸-3A61","layer":3},{"info":"⫖↰⪸2336⩧⪆⫖↰⪸11A9=⫖↰⪸-11A9","layer":3},{"info":"⫖↰⪸-3A61⫃⨇⫖↰⪸-11A9=⫖↰⪸4744","layer":2},{"info":"⫖↰⪸318B⊮⊟↴⫖↰⪸1237=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0↦=⫖↰⪸-58","layer":2},{"info":"⫖↰⪸4744⨒⫖↰⪸-58=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3138⫦⪉⫖↰⪸941=⫖↰⪸-3470","layer":3},{"info":"⫖↰⪸A42⨔≚≋⫖↰⪸39B0=⫖↰⪸5868","layer":3},{"info":"⫖↰⪸-3470≒∊⫖↰⪸5868=⫖↰⪸37B4","layer":2},{"info":"↓⇌⫖↰⪸37B4=⫖↰⪸37B4","layer":1},{"info":"⫖↰⪸0⨚⇆⫖↰⪸37B4=⫖↰⪸-457A6","layer":0}]}
{"id":38,"expression_no_base_symbol":"(⪲⇎(⨵≀≌$5523$⪔⊥$3136$))⩼⇪↪((⇋↷$1876$⪟⇏$1003$)⪄(∡$3778$)≁($6338$∕⩚$2470$))","expression":"(⪲⇎(⨵≀≌⫖↰⪸3243⪔⊥⫖↰⪸1994))⩼⇪↪((⇋↷⫖↰⪸1104⪟⇏⫖↰⪸6B7)⪄(∡⫖↰⪸222A)≁(⫖↰⪸3802∕⩚⫖↰⪸151A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6564,"operation_count":10,"complexity_ratio":656.4,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5523,"base":12},"right_expr":{"type":"numeric_atoms","value":3136,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1876,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":3778,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6338,"base":12},"right_expr":{"type":"numeric_atoms","value":2470,"base":12}}}}},"used_operators":["ocnLzx9CaJ","XPYlsWDdGa","srAu1WTS94","HJ9erzHUuu","SUmda5xLS4","SWo3A1KBJH","GODebY97qR","8N2wDY1A35","pRsWfj4Fpp","z9ffQ9n5Zr"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⫖↰⪸-A5074","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5523","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=5523, right_input=3136, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=15621","layer":3},{"info":"compute unary expreesion, input=15621, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-46863","layer":2},{"info":"compute unary expreesion, input=-46863, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-93726","layer":1},{"info":"number node, value=1876","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=1003, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-8","layer":2},{"info":"number node, value=3778","layer":4},{"info":"compute unary expreesion, input=3778, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3778","layer":3},{"info":"number node, value=6338","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=6338, right_input=2470, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6341","layer":3},{"info":"compute binary expreesion, left_input=-3778, right_input=-6341, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-188037","layer":2},{"info":"compute binary expreesion, left_input=-8, right_input=-188037, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-93726, right_input=3979, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-216088","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎(⨵≀≌⫖↰⪸3243⪔⊥⫖↰⪸1994))⩼⇪↪((⇋↷⫖↰⪸1104⪟⇏⫖↰⪸6B7)⪄(∡⫖↰⪸222A)≁(⫖↰⪸3802∕⩚⫖↰⪸151A))=⫖↰⪸-A5074","reverse_text":"⫖↰⪸-A5074=(⪲⇎(⨵≀≌⫖↰⪸3243⪔⊥⫖↰⪸1994))⩼⇪↪((⇋↷⫖↰⪸1104⪟⇏⫖↰⪸6B7)⪄(∡⫖↰⪸222A)≁(⫖↰⪸3802∕⩚⫖↰⪸151A))","cot":[{"info":"⫖↰⪸3243⪔⊥⫖↰⪸1994=⫖↰⪸9059","layer":3},{"info":"⨵≀≌⫖↰⪸9059=⫖↰⪸-23153","layer":2},{"info":"⪲⇎⫖↰⪸-23153=⫖↰⪸-462A6","layer":1},{"info":"⫖↰⪸1104⪟⇏⫖↰⪸6B7=⫖↰⪸-1","layer":3},{"info":"⇋↷⫖↰⪸-1=⫖↰⪸-8","layer":2},{"info":"∡⫖↰⪸222A=⫖↰⪸-222A","layer":3},{"info":"⫖↰⪸3802∕⩚⫖↰⪸151A=⫖↰⪸-3805","layer":3},{"info":"⫖↰⪸-222A≁⫖↰⪸-3805=⫖↰⪸-90999","layer":2},{"info":"⫖↰⪸-8⪄⫖↰⪸-90999=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸-462A6⩼⇪↪⫖↰⪸2377=⫖↰⪸-A5074","layer":0}]}
{"id":39,"expression_no_base_symbol":"(($5203$⨳⩥⨓$5319$)⨚⇆(≦∁$1883$)⩺⪪((≤/$1060$)⨒(⊲⪭$1740$)))⪮%⊝($3882$⋳⪒$1393$)⩼⇪↪($1576$∷$1298$)⊢(($1936$⪁$3899$)↛⩡⫤)","expression":"((⫖↰⪸3017⨳⩥⨓⫖↰⪸30B3)⨚⇆(≦∁⫖↰⪸110B)⩺⪪((≤/⫖↰⪸744)⨒(⊲⪭⫖↰⪸1010)))⪮%⊝(⫖↰⪸22B6⋳⪒⫖↰⪸981)⩼⇪↪(⫖↰⪸AB4∷⫖↰⪸902)⊢((⫖↰⪸1154⪁⫖↰⪸230B)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":145969215,"operation_count":14,"complexity_ratio":10426372.5,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5203,"base":12},"right_expr":{"type":"numeric_atoms","value":5319,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1883,"base":12}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1060,"base":12}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1740,"base":12}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3882,"base":12},"right_expr":{"type":"numeric_atoms","value":1393,"base":12}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1576,"base":12},"right_expr":{"type":"numeric_atoms","value":1298,"base":12}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1936,"base":12},"right_expr":{"type":"numeric_atoms","value":3899,"base":12}}}}},"used_operators":["IWmyXbctLI","uvdQJvN4PV","lwHaAYXP2r","nCS4ZIUYfx","9ICcGScMcE","y75s1iXyHd","eLAdDNolq6","k7HXdKtiEU","5twsqlHp2o","ocnLzx9CaJ","12rbrZMWeM","D3AQDKkPcf","FU0Cs4j7VP","I7sXao9hZE"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","i8ToyICDmI","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5203","layer":4},{"info":"number node, value=5319","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=5319, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=116","layer":3},{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1883","layer":3},{"info":"compute binary expreesion, left_input=116, right_input=1883, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-576","layer":3},{"info":"number node, value=1740","layer":4},{"info":"compute unary expreesion, input=1740, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1914","layer":3},{"info":"compute binary expreesion, left_input=-576, right_input=-1914, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=3882","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=3882, right_input=1393, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6084","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=1298, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1298","layer":3},{"info":"compute binary expreesion, left_input=6084, right_input=1298, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=2299","layer":2},{"info":"number node, value=1936","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=3899, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2299, 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=-4842","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4842, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3017⨳⩥⨓⫖↰⪸30B3)⨚⇆(≦∁⫖↰⪸110B)⩺⪪((≤/⫖↰⪸744)⨒(⊲⪭⫖↰⪸1010)))⪮%⊝(⫖↰⪸22B6⋳⪒⫖↰⪸981)⩼⇪↪(⫖↰⪸AB4∷⫖↰⪸902)⊢((⫖↰⪸1154⪁⫖↰⪸230B)↛⩡⫤)=NaN","reverse_text":"NaN=((⫖↰⪸3017⨳⩥⨓⫖↰⪸30B3)⨚⇆(≦∁⫖↰⪸110B)⩺⪪((≤/⫖↰⪸744)⨒(⊲⪭⫖↰⪸1010)))⪮%⊝(⫖↰⪸22B6⋳⪒⫖↰⪸981)⩼⇪↪(⫖↰⪸AB4∷⫖↰⪸902)⊢((⫖↰⪸1154⪁⫖↰⪸230B)↛⩡⫤)","cot":[{"info":"⫖↰⪸3017⨳⩥⨓⫖↰⪸30B3=⫖↰⪸98","layer":3},{"info":"≦∁⫖↰⪸110B=⫖↰⪸110B","layer":3},{"info":"⫖↰⪸98⨚⇆⫖↰⪸110B=NaN","layer":2},{"info":"≤/⫖↰⪸744=⫖↰⪸-400","layer":3},{"info":"⊲⪭⫖↰⪸1010=⫖↰⪸-1136","layer":3},{"info":"⫖↰⪸-400⨒⫖↰⪸-1136=⫖↰⪸1","layer":2},{"info":"NaN⩺⪪⫖↰⪸1=NaN","layer":1},{"info":"⫖↰⪸22B6⋳⪒⫖↰⪸981=⫖↰⪸3630","layer":3},{"info":"⫖↰⪸AB4∷⫖↰⪸902=⫖↰⪸902","layer":3},{"info":"⫖↰⪸3630⩼⇪↪⫖↰⪸902=⫖↰⪸13B7","layer":2},{"info":"⫖↰⪸1154⪁⫖↰⪸230B=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⫖↰⪸13B7⊢NaN=⫖↰⪸-2976","layer":1},{"info":"NaN⪮%⊝⫖↰⪸-2976=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"($2510$⨳⩥⨓$1087$⊾⪯⋞($7416$⨴∎))≨((⨮↦↱$2632$)↬$2675$∺≝⩲$6525$)≹⇙⪍(($1046$⨐⩸⫘$2009$)⩇∃⫛($4309$≳⇉$2513$))∋($1524$⩘$2113$⨒($1513$⩢≌))","expression":"(⫖↰⪸1552⨳⩥⨓⫖↰⪸767⊾⪯⋞(⫖↰⪸4360⨴∎))≨((⨮↦↱⫖↰⪸1634)↬⫖↰⪸166B∺≝⩲⫖↰⪸3939)≹⇙⪍((⫖↰⪸732⨐⩸⫘⫖↰⪸11B5)⩇∃⫛(⫖↰⪸25B1≳⇉⫖↰⪸1555))∋(⫖↰⪸A70⩘⫖↰⪸1281⨒(⫖↰⪸A61⩢≌))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":58874788,"operation_count":15,"complexity_ratio":3924985.8666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2510,"base":12},"right_expr":{"type":"numeric_atoms","value":1087,"base":12}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":7416,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2632,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2675,"base":12},"right_expr":{"type":"numeric_atoms","value":6525,"base":12}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1046,"base":12},"right_expr":{"type":"numeric_atoms","value":2009,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4309,"base":12},"right_expr":{"type":"numeric_atoms","value":2513,"base":12}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1524,"base":12},"right_expr":{"type":"numeric_atoms","value":2113,"base":12}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1513,"base":12}}}}},"used_operators":["AHs5Up7iyr","0KMCeP1Jsh","HK0tfVPux8","nCS4ZIUYfx","CpSg5vQTgA","B5M0gjZbta","sYcpBQ0cFf","KPf6cnQVty","ukq6epAj5P","1aApVXNlOP","fu6greOZ01","V0kx6qeWkN","y75s1iXyHd","cHh1gJQ2o6","D617RFjZIq"],"dependent_operators":["dWAJyo7jo9","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","rGHVDoGpnC","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","3ViojmjbAp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","hTbEZDJLEm","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2510","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=1087, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1423","layer":3},{"info":"number node, value=7416","layer":4},{"info":"compute unary expreesion, input=7416, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1423, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=2632","layer":4},{"info":"compute unary expreesion, input=2632, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-13731642","layer":3},{"info":"number node, value=2675","layer":4},{"info":"number node, value=6525","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=6525, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-13731642, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=1046","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=2009, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4309","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=2513, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=2113, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=113, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1552⨳⩥⨓⫖↰⪸767⊾⪯⋞(⫖↰⪸4360⨴∎))≨((⨮↦↱⫖↰⪸1634)↬⫖↰⪸166B∺≝⩲⫖↰⪸3939)≹⇙⪍((⫖↰⪸732⨐⩸⫘⫖↰⪸11B5)⩇∃⫛(⫖↰⪸25B1≳⇉⫖↰⪸1555))∋(⫖↰⪸A70⩘⫖↰⪸1281⨒(⫖↰⪸A61⩢≌))=NaN","reverse_text":"NaN=(⫖↰⪸1552⨳⩥⨓⫖↰⪸767⊾⪯⋞(⫖↰⪸4360⨴∎))≨((⨮↦↱⫖↰⪸1634)↬⫖↰⪸166B∺≝⩲⫖↰⪸3939)≹⇙⪍((⫖↰⪸732⨐⩸⫘⫖↰⪸11B5)⩇∃⫛(⫖↰⪸25B1≳⇉⫖↰⪸1555))∋(⫖↰⪸A70⩘⫖↰⪸1281⨒(⫖↰⪸A61⩢≌))","cot":[{"info":"⫖↰⪸1552⨳⩥⨓⫖↰⪸767=⫖↰⪸-9A7","layer":3},{"info":"⫖↰⪸4360⨴∎=NaN","layer":3},{"info":"⫖↰⪸-9A7⊾⪯⋞NaN=NaN","layer":2},{"info":"⨮↦↱⫖↰⪸1634=⫖↰⪸-4722676","layer":3},{"info":"⫖↰⪸166B∺≝⩲⫖↰⪸3939=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-4722676↬⫖↰⪸114=NaN","layer":2},{"info":"NaN≨NaN=NaN","layer":1},{"info":"⫖↰⪸732⨐⩸⫘⫖↰⪸11B5=NaN","layer":3},{"info":"⫖↰⪸25B1≳⇉⫖↰⪸1555=NaN","layer":3},{"info":"NaN⩇∃⫛NaN=NaN","layer":2},{"info":"⫖↰⪸A70⩘⫖↰⪸1281=⫖↰⪸114","layer":3},{"info":"⫖↰⪸A61⩢≌=⫖↰⪸95","layer":3},{"info":"⫖↰⪸114⨒⫖↰⪸95=⫖↰⪸0","layer":2},{"info":"NaN∋⫖↰⪸0=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":41,"expression_no_base_symbol":"(($1909$⫯⪬∳$5121$∠↢($4172$≀⩗∶$7810$))⨎$3606$⪟⇏$1663$⪚($4419$∲⫓$2435$))⫁⪎(↥(($2801$⇡)∙⊟$3826$∘$6046$))","expression":"((⫖↰⪸1131⫯⪬∳⫖↰⪸2B69∠↢(⫖↰⪸24B8≀⩗∶⫖↰⪸462A))⨎⫖↰⪸2106⪟⇏⫖↰⪸B67⪚(⫖↰⪸2683∲⫓⫖↰⪸14AB))⫁⪎(↥((⫖↰⪸1755⇡)∙⊟⫖↰⪸226A∘⫖↰⪸35BA))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4205,"operation_count":12,"complexity_ratio":350.4166666666667,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1909,"base":12},"right_expr":{"type":"numeric_atoms","value":5121,"base":12}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4172,"base":12},"right_expr":{"type":"numeric_atoms","value":7810,"base":12}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3606,"base":12},"right_expr":{"type":"numeric_atoms","value":1663,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4419,"base":12},"right_expr":{"type":"numeric_atoms","value":2435,"base":12}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":2801,"base":12}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3826,"base":12},"right_expr":{"type":"numeric_atoms","value":6046,"base":12}}}}},"used_operators":["xRrnTEsQ6j","rJVOvQCfKK","KbjG8mgYpV","d7ASUq0ydm","8INZBEW696","HrjLwUk87U","GODebY97qR","i8ToyICDmI","A8NUZmVepG","SxTAKzQCrw","UqFzSgLMvQ","Z5m6OM72h2"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","eH2TOUuTDT","rysDP5nf3Z"],"result":"⫖↰⪸-26B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":4},{"info":"number node, value=5121","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=5121, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4457","layer":3},{"info":"number node, value=4172","layer":4},{"info":"number node, value=7810","layer":4},{"info":"compute binary expreesion, left_input=4172, right_input=7810, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=4457, right_input=-3, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-16704","layer":2},{"info":"number node, value=3606","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=3606, right_input=1663, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=4419","layer":4},{"info":"number node, value=2435","layer":4},{"info":"compute binary expreesion, left_input=4419, right_input=2435, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-358","layer":2},{"info":"compute binary expreesion, left_input=-16704, right_input=-358, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-358","layer":1},{"info":"number node, value=2801","layer":4},{"info":"compute unary expreesion, input=2801, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=3826","layer":4},{"info":"number node, value=6046","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=6046, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7652","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=7652, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=53665","layer":2},{"info":"compute unary expreesion, input=53665, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":1},{"info":"compute binary expreesion, left_input=-358, right_input=13, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-371","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1131⫯⪬∳⫖↰⪸2B69∠↢(⫖↰⪸24B8≀⩗∶⫖↰⪸462A))⨎⫖↰⪸2106⪟⇏⫖↰⪸B67⪚(⫖↰⪸2683∲⫓⫖↰⪸14AB))⫁⪎(↥((⫖↰⪸1755⇡)∙⊟⫖↰⪸226A∘⫖↰⪸35BA))=⫖↰⪸-26B","reverse_text":"⫖↰⪸-26B=((⫖↰⪸1131⫯⪬∳⫖↰⪸2B69∠↢(⫖↰⪸24B8≀⩗∶⫖↰⪸462A))⨎⫖↰⪸2106⪟⇏⫖↰⪸B67⪚(⫖↰⪸2683∲⫓⫖↰⪸14AB))⫁⪎(↥((⫖↰⪸1755⇡)∙⊟⫖↰⪸226A∘⫖↰⪸35BA))","cot":[{"info":"⫖↰⪸1131⫯⪬∳⫖↰⪸2B69=⫖↰⪸26B5","layer":3},{"info":"⫖↰⪸24B8≀⩗∶⫖↰⪸462A=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸26B5∠↢⫖↰⪸-3=⫖↰⪸-9800","layer":2},{"info":"⫖↰⪸2106⪟⇏⫖↰⪸B67=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸2683∲⫓⫖↰⪸14AB=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1⪚⫖↰⪸0=⫖↰⪸-25A","layer":2},{"info":"⫖↰⪸-9800⨎⫖↰⪸-25A=⫖↰⪸-25A","layer":1},{"info":"⫖↰⪸1755⇡=⫖↰⪸-1831","layer":3},{"info":"⫖↰⪸226A∘⫖↰⪸35BA=⫖↰⪸4518","layer":3},{"info":"⫖↰⪸-1831∙⊟⫖↰⪸4518=⫖↰⪸27081","layer":2},{"info":"↥⫖↰⪸27081=⫖↰⪸11","layer":1},{"info":"⫖↰⪸-25A⫁⪎⫖↰⪸11=⫖↰⪸-26B","layer":0}]}
{"id":42,"expression_no_base_symbol":"((⨵($1428$⋅⇍$4777$))⪭($9429$∺≝⩲$1786$∁))⨑⩅≇(($2666$∣$5740$⨻⩈⩔$6600$≦↸$3336$)⫉⨲⊜((⪓⩚$1262$)⋝⋈⪟$1545$+⪬∐$2352$))","expression":"((⨵(⫖↰⪸9B0⋅⇍⫖↰⪸2921))⪭(⫖↰⪸5559∺≝⩲⫖↰⪸104A∁))⨑⩅≇((⫖↰⪸1662∣⫖↰⪸33A4⨻⩈⩔⫖↰⪸39A0≦↸⫖↰⪸1B20)⫉⨲⊜((⪓⩚⫖↰⪸892)⋝⋈⪟⫖↰⪸A89+⪬∐⫖↰⪸1440))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3644,"operation_count":13,"complexity_ratio":280.3076923076923,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1428,"base":12},"right_expr":{"type":"numeric_atoms","value":4777,"base":12}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":9429,"base":12},"right_expr":{"type":"numeric_atoms","value":1786,"base":12}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2666,"base":12},"right_expr":{"type":"numeric_atoms","value":5740,"base":12}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":6600,"base":12},"right_expr":{"type":"numeric_atoms","value":3336,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1262,"base":12}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1545,"base":12},"right_expr":{"type":"numeric_atoms","value":2352,"base":12}}}}},"used_operators":["h92wMvzauj","j9kHMeSvPp","Tl3Y52tvF8","AdZkA7nFnk","jdwGQqwJi5","KPf6cnQVty","WhqkvtTD3t","nEsXyWgiOK","PPChnnnBFF","RygbFNSyEJ","2DDjHMKMc0","u0R0Locfp2","2GS7woTJqF"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","COABgblf1C","xUOZtlo3hN","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2DDjHMKMc0","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eewbuw0ToL","zVYPLywUTj","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","g55IO6H4Gj","D4vGDi5EA2"],"result":"⫖↰⪸-13","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"number node, value=4777","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=4777, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=3383","layer":2},{"info":"number node, value=9429","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=9429, right_input=1786, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=3383, right_input=160, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=2666","layer":4},{"info":"number node, value=5740","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=5740, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2666","layer":3},{"info":"number node, value=6600","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=6600, right_input=3336, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-19191","layer":3},{"info":"compute binary expreesion, left_input=2666, right_input=-19191, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=12927","layer":2},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=2352, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4635","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-4635, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=426","layer":2},{"info":"compute binary expreesion, left_input=12927, right_input=426, 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=5, right_input=0, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-15","layer":0}],"base":12,"result_base":12,"text":"((⨵(⫖↰⪸9B0⋅⇍⫖↰⪸2921))⪭(⫖↰⪸5559∺≝⩲⫖↰⪸104A∁))⨑⩅≇((⫖↰⪸1662∣⫖↰⪸33A4⨻⩈⩔⫖↰⪸39A0≦↸⫖↰⪸1B20)⫉⨲⊜((⪓⩚⫖↰⪸892)⋝⋈⪟⫖↰⪸A89+⪬∐⫖↰⪸1440))=⫖↰⪸-13","reverse_text":"⫖↰⪸-13=((⨵(⫖↰⪸9B0⋅⇍⫖↰⪸2921))⪭(⫖↰⪸5559∺≝⩲⫖↰⪸104A∁))⨑⩅≇((⫖↰⪸1662∣⫖↰⪸33A4⨻⩈⩔⫖↰⪸39A0≦↸⫖↰⪸1B20)⫉⨲⊜((⪓⩚⫖↰⪸892)⋝⋈⪟⫖↰⪸A89+⪬∐⫖↰⪸1440))","cot":[{"info":"⫖↰⪸9B0⋅⇍⫖↰⪸2921=⫖↰⪸-1A","layer":3},{"info":"⨵⫖↰⪸-1A=⫖↰⪸1B5B","layer":2},{"info":"⫖↰⪸5559∺≝⩲⫖↰⪸104A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114∁=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1B5B⪭⫖↰⪸114=⫖↰⪸5","layer":1},{"info":"⫖↰⪸1662∣⫖↰⪸33A4=⫖↰⪸1662","layer":3},{"info":"⫖↰⪸39A0≦↸⫖↰⪸1B20=⫖↰⪸-B133","layer":3},{"info":"⫖↰⪸1662⨻⩈⩔⫖↰⪸-B133=⫖↰⪸7593","layer":2},{"info":"⪓⩚⫖↰⪸892=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸A89+⪬∐⫖↰⪸1440=⫖↰⪸-2823","layer":3},{"info":"⫖↰⪸2B6⋝⋈⪟⫖↰⪸-2823=⫖↰⪸2B6","layer":2},{"info":"⫖↰⪸7593⫉⨲⊜⫖↰⪸2B6=⫖↰⪸0","layer":1},{"info":"⫖↰⪸5⨑⩅≇⫖↰⪸0=⫖↰⪸-13","layer":0}]}
{"id":43,"expression_no_base_symbol":"((($4194$≨$1606$)⇗⋫)⫃⨇(($1098$⫭)⊢))⋩≍≻","expression":"(((⫖↰⪸2516≨⫖↰⪸B1A)⇗⋫)⫃⨇((⫖↰⪸776⫭)⊢))⋩≍≻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":114,"operation_count":6,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4194,"base":12},"right_expr":{"type":"numeric_atoms","value":1606,"base":12}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1098,"base":12}}}}},"used_operators":["WYd1w68Nbz","09Ly4LVMIf","hpqmaQFPrd","0KMCeP1Jsh","40aOVDgCDB","t4WUHVGj7f"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rxpJgHHUmx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4194","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=4194, right_input=1606, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-39464","layer":3},{"info":"compute unary expreesion, input=-39464, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3535","layer":3},{"info":"compute unary expreesion, input=3535, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3782","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3782, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2516≨⫖↰⪸B1A)⇗⋫)⫃⨇((⫖↰⪸776⫭)⊢))⋩≍≻=NaN","reverse_text":"NaN=(((⫖↰⪸2516≨⫖↰⪸B1A)⇗⋫)⫃⨇((⫖↰⪸776⫭)⊢))⋩≍≻","cot":[{"info":"⫖↰⪸2516≨⫖↰⪸B1A=⫖↰⪸-1AA08","layer":3},{"info":"⫖↰⪸-1AA08⇗⋫=NaN","layer":2},{"info":"⫖↰⪸776⫭=⫖↰⪸2067","layer":3},{"info":"⫖↰⪸2067⊢=⫖↰⪸-2232","layer":2},{"info":"NaN⫃⨇⫖↰⪸-2232=NaN","layer":1},{"info":"NaN⋩≍≻=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"((($1106$⪘⨀)≃$6548$⪟⇏$1499$)⩣⫁∢(($1843$≝⊰⇂)⪒⊣⊆(⊁⨺$4485$)))∓⋝(∓⪦($5147$⊝⪿⪼$2975$))⊮⊟↴($2305$∛$2994$⨐⩸⫘$5847$∌$1003$)","expression":"(((⫖↰⪸782⪘⨀)≃⫖↰⪸3958⪟⇏⫖↰⪸A4B)⩣⫁∢((⫖↰⪸1097≝⊰⇂)⪒⊣⊆(⊁⨺⫖↰⪸2719)))∓⋝(∓⪦(⫖↰⪸2B8B⊝⪿⪼⫖↰⪸187B))⊮⊟↴(⫖↰⪸1401∛⫖↰⪸1896⨐⩸⫘⫖↰⪸3473∌⫖↰⪸6B7)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1758,"operation_count":14,"complexity_ratio":125.57142857142857,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1106,"base":12}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6548,"base":12},"right_expr":{"type":"numeric_atoms","value":1499,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1843,"base":12}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4485,"base":12}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5147,"base":12},"right_expr":{"type":"numeric_atoms","value":2975,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2305,"base":12},"right_expr":{"type":"numeric_atoms","value":2994,"base":12}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5847,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}}}}},"used_operators":["PoHhknlbAi","JDUIKTTSIa","YbVcJGFEVW","aA7tF3KVD3","GODebY97qR","eRqsBgTDFp","htSmYCowi5","PxiHyQbrIp","QDVgd2eftb","D309nIvmXG","3Oe9XWJUTD","fu6greOZ01","w2537kitQq","8cLx32lpNA"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","DlLNRPXxWL","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","3ViojmjbAp","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2793","layer":3},{"info":"number node, value=6548","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=6548, right_input=1499, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-2793, right_input=-1, 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=-72","layer":2},{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=4485","layer":4},{"info":"compute unary expreesion, input=4485, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-72, right_input=422, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=853","layer":1},{"info":"number node, value=5147","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=5147, right_input=2975, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=70805","layer":3},{"info":"compute unary expreesion, input=70805, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=70397","layer":2},{"info":"number node, value=2305","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=2994, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=5847","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=5847, right_input=1003, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1003","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-1003, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=70397, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=853, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸782⪘⨀)≃⫖↰⪸3958⪟⇏⫖↰⪸A4B)⩣⫁∢((⫖↰⪸1097≝⊰⇂)⪒⊣⊆(⊁⨺⫖↰⪸2719)))∓⋝(∓⪦(⫖↰⪸2B8B⊝⪿⪼⫖↰⪸187B))⊮⊟↴(⫖↰⪸1401∛⫖↰⪸1896⨐⩸⫘⫖↰⪸3473∌⫖↰⪸6B7)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(((⫖↰⪸782⪘⨀)≃⫖↰⪸3958⪟⇏⫖↰⪸A4B)⩣⫁∢((⫖↰⪸1097≝⊰⇂)⪒⊣⊆(⊁⨺⫖↰⪸2719)))∓⋝(∓⪦(⫖↰⪸2B8B⊝⪿⪼⫖↰⪸187B))⊮⊟↴(⫖↰⪸1401∛⫖↰⪸1896⨐⩸⫘⫖↰⪸3473∌⫖↰⪸6B7)","cot":[{"info":"⫖↰⪸782⪘⨀=⫖↰⪸-1749","layer":3},{"info":"⫖↰⪸3958⪟⇏⫖↰⪸A4B=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-1749≃⫖↰⪸-1=⫖↰⪸-60","layer":2},{"info":"⫖↰⪸1097≝⊰⇂=⫖↰⪸0","layer":3},{"info":"⊁⨺⫖↰⪸2719=⫖↰⪸114","layer":3},{"info":"⫖↰⪸0⪒⊣⊆⫖↰⪸114=⫖↰⪸2B2","layer":2},{"info":"⫖↰⪸-60⩣⫁∢⫖↰⪸2B2=⫖↰⪸5B1","layer":1},{"info":"⫖↰⪸2B8B⊝⪿⪼⫖↰⪸187B=⫖↰⪸34B85","layer":3},{"info":"∓⪦⫖↰⪸34B85=⫖↰⪸348A5","layer":2},{"info":"⫖↰⪸1401∛⫖↰⪸1896=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸3473∌⫖↰⪸6B7=⫖↰⪸-6B7","layer":3},{"info":"⫖↰⪸-47A⨐⩸⫘⫖↰⪸-6B7=NaN","layer":2},{"info":"⫖↰⪸348A5⊮⊟↴NaN=NaN","layer":1},{"info":"⫖↰⪸5B1∓⋝NaN=⫖↰⪸57","layer":0}]}
{"id":45,"expression_no_base_symbol":"((⨛$2309$⋥≓≎$6561$)⫒⫫($5388$⨘)⨑⩅≇($5025$⪔⊥$5683$))∴(($1566$⋕⪉⪜$1314$⪑⩈)⋘⨑⨽)","expression":"((⨛⫖↰⪸1405⋥≓≎⫖↰⪸3969)⫒⫫(⫖↰⪸3150⨘)⨑⩅≇(⫖↰⪸2AA9⪔⊥⫖↰⪸3357))∴((⫖↰⪸AA6⋕⪉⪜⫖↰⪸916⪑⩈)⋘⨑⨽)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5673,"operation_count":10,"complexity_ratio":567.3,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2309,"base":12},"right_expr":{"type":"numeric_atoms","value":6561,"base":12}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":5388,"base":12}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5025,"base":12},"right_expr":{"type":"numeric_atoms","value":5683,"base":12}}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1566,"base":12},"right_expr":{"type":"numeric_atoms","value":1314,"base":12}}}}},"used_operators":["hrf7POJlIJ","6Ko8hGgeMq","CoMdbyAt7R","Qy55tPpLXF","h92wMvzauj","ljcfZBUpm8","HJ9erzHUuu","WmT3o8z6ya","C6VvDP6HwP","z6LnFrNh4i"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2309","layer":4},{"info":"number node, value=6561","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=6561, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10846","layer":3},{"info":"compute unary expreesion, input=10846, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=5388","layer":4},{"info":"compute unary expreesion, input=5388, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-38491","layer":3},{"info":"number node, value=5025","layer":4},{"info":"number node, value=5683","layer":4},{"info":"compute binary expreesion, left_input=5025, right_input=5683, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8535","layer":3},{"info":"compute binary expreesion, left_input=-38491, right_input=8535, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1566","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1314, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=21204","layer":2},{"info":"compute unary expreesion, input=21204, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=106803","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=106803, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨛⫖↰⪸1405⋥≓≎⫖↰⪸3969)⫒⫫(⫖↰⪸3150⨘)⨑⩅≇(⫖↰⪸2AA9⪔⊥⫖↰⪸3357))∴((⫖↰⪸AA6⋕⪉⪜⫖↰⪸916⪑⩈)⋘⨑⨽)=NaN","reverse_text":"NaN=((⨛⫖↰⪸1405⋥≓≎⫖↰⪸3969)⫒⫫(⫖↰⪸3150⨘)⨑⩅≇(⫖↰⪸2AA9⪔⊥⫖↰⪸3357))∴((⫖↰⪸AA6⋕⪉⪜⫖↰⪸916⪑⩈)⋘⨑⨽)","cot":[{"info":"⫖↰⪸1405⋥≓≎⫖↰⪸3969=⫖↰⪸633A","layer":3},{"info":"⨛⫖↰⪸633A=NaN","layer":2},{"info":"⫖↰⪸3150⨘=⫖↰⪸-1A337","layer":3},{"info":"⫖↰⪸2AA9⪔⊥⫖↰⪸3357=⫖↰⪸4B33","layer":3},{"info":"⫖↰⪸-1A337⨑⩅≇⫖↰⪸4B33=⫖↰⪸-47","layer":2},{"info":"NaN⫒⫫⫖↰⪸-47=NaN","layer":1},{"info":"⫖↰⪸AA6⋕⪉⪜⫖↰⪸916=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸1756⪑⩈=⫖↰⪸10330","layer":2},{"info":"⫖↰⪸10330⋘⨑⨽=⫖↰⪸51983","layer":1},{"info":"NaN∴⫖↰⪸51983=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"(($5396$⩁⩘$1563$⇼⇔∾(⩷⨜⫀$1909$))⫢⨠$2124$⫣⪄⊒$1853$⩼⇪↪(-$1302$))↼⊘⨖(($4103$⇡⇂$1879$⨀⨒)↬$1190$→⨶⪴$1740$↼⊘⨖(≛$5733$))","expression":"((⫖↰⪸3158⩁⩘⫖↰⪸AA3⇼⇔∾(⩷⨜⫀⫖↰⪸1131))⫢⨠⫖↰⪸1290⫣⪄⊒⫖↰⪸10A5⩼⇪↪(-⫖↰⪸906))↼⊘⨖((⫖↰⪸245B⇡⇂⫖↰⪸1107⨀⨒)↬⫖↰⪸832→⨶⪴⫖↰⪸1010↼⊘⨖(≛⫖↰⪸3399))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9327,"operation_count":14,"complexity_ratio":666.2142857142857,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5396,"base":12},"right_expr":{"type":"numeric_atoms","value":1563,"base":12}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1909,"base":12}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2124,"base":12},"right_expr":{"type":"numeric_atoms","value":1853,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1302,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4103,"base":12},"right_expr":{"type":"numeric_atoms","value":1879,"base":12}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1190,"base":12},"right_expr":{"type":"numeric_atoms","value":1740,"base":12}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5733,"base":12}}}}},"used_operators":["bPywburJMS","xlXykHWxX1","tifHPKVTfV","gub5Cegaqo","CDi0ktkjQ4","ocnLzx9CaJ","RabNbG55vr","t8gj7n24qd","B5M0gjZbta","j6NVkjMzuk","UMwdvZNt44","bF6eod5Gvf","W7eaUhjymW"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rGHVDoGpnC","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5396","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=5396, right_input=1563, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7200","layer":3},{"info":"number node, value=1909","layer":4},{"info":"compute unary expreesion, input=1909, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1636","layer":3},{"info":"compute binary expreesion, left_input=7200, right_input=-1636, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-8836","layer":2},{"info":"number node, value=2124","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=1853, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7382","layer":3},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1302","layer":3},{"info":"compute binary expreesion, left_input=-7382, right_input=-1302, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6433","layer":2},{"info":"compute binary expreesion, left_input=-8836, right_input=-6433, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=120882","layer":1},{"info":"number node, value=4103","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=1879, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":2},{"info":"number node, value=1190","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1740, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5220","layer":3},{"info":"number node, value=5733","layer":4},{"info":"compute unary expreesion, input=5733, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-5220, right_input=-10, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-242","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-242, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=120882, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3158⩁⩘⫖↰⪸AA3⇼⇔∾(⩷⨜⫀⫖↰⪸1131))⫢⨠⫖↰⪸1290⫣⪄⊒⫖↰⪸10A5⩼⇪↪(-⫖↰⪸906))↼⊘⨖((⫖↰⪸245B⇡⇂⫖↰⪸1107⨀⨒)↬⫖↰⪸832→⨶⪴⫖↰⪸1010↼⊘⨖(≛⫖↰⪸3399))=NaN","reverse_text":"NaN=((⫖↰⪸3158⩁⩘⫖↰⪸AA3⇼⇔∾(⩷⨜⫀⫖↰⪸1131))⫢⨠⫖↰⪸1290⫣⪄⊒⫖↰⪸10A5⩼⇪↪(-⫖↰⪸906))↼⊘⨖((⫖↰⪸245B⇡⇂⫖↰⪸1107⨀⨒)↬⫖↰⪸832→⨶⪴⫖↰⪸1010↼⊘⨖(≛⫖↰⪸3399))","cot":[{"info":"⫖↰⪸3158⩁⩘⫖↰⪸AA3=⫖↰⪸4200","layer":3},{"info":"⩷⨜⫀⫖↰⪸1131=⫖↰⪸-B44","layer":3},{"info":"⫖↰⪸4200⇼⇔∾⫖↰⪸-B44=⫖↰⪸-5144","layer":2},{"info":"⫖↰⪸1290⫣⪄⊒⫖↰⪸10A5=⫖↰⪸-4332","layer":3},{"info":"-⫖↰⪸906=⫖↰⪸-906","layer":3},{"info":"⫖↰⪸-4332⩼⇪↪⫖↰⪸-906=⫖↰⪸-3881","layer":2},{"info":"⫖↰⪸-5144⫢⨠⫖↰⪸-3881=⫖↰⪸59B56","layer":1},{"info":"⫖↰⪸245B⇡⇂⫖↰⪸1107=NaN","layer":3},{"info":"NaN⨀⨒=NaN","layer":2},{"info":"⫖↰⪸832→⨶⪴⫖↰⪸1010=⫖↰⪸-3030","layer":3},{"info":"≛⫖↰⪸3399=⫖↰⪸-A","layer":3},{"info":"⫖↰⪸-3030↼⊘⨖⫖↰⪸-A=⫖↰⪸-182","layer":2},{"info":"NaN↬⫖↰⪸-182=NaN","layer":1},{"info":"⫖↰⪸59B56↼⊘⨖NaN=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"((⋂$4476$)⪘⫢($2400$⫦⪉$3824$))⩼⇪↪(($1657$⪁$2127$)∝(⇋⊎⋝$7344$))⩹(∓⪦$2772$)⩼⇪↪($4216$⩇∃⫛$4496$)⩇∃⫛$6494$⫁$4080$⪪$2020$⪒⊣⊆$2460$","expression":"((⋂⫖↰⪸2710)⪘⫢(⫖↰⪸1480⫦⪉⫖↰⪸2268))⩼⇪↪((⫖↰⪸B61⪁⫖↰⪸1293)∝(⇋⊎⋝⫖↰⪸4300))⩹(∓⪦⫖↰⪸1730)⩼⇪↪(⫖↰⪸2534⩇∃⫛⫖↰⪸2728)⩇∃⫛⫖↰⪸3912⫁⫖↰⪸2440⪪⫖↰⪸1204⪒⊣⊆⫖↰⪸1510","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":81053798,"operation_count":15,"complexity_ratio":5403586.533333333,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":4476,"base":12}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2400,"base":12},"right_expr":{"type":"numeric_atoms","value":3824,"base":12}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1657,"base":12},"right_expr":{"type":"numeric_atoms","value":2127,"base":12}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":7344,"base":12}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2772,"base":12}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4216,"base":12},"right_expr":{"type":"numeric_atoms","value":4496,"base":12}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6494,"base":12},"right_expr":{"type":"numeric_atoms","value":4080,"base":12}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2020,"base":12},"right_expr":{"type":"numeric_atoms","value":2460,"base":12}}}}},"used_operators":["2Wsdkap16l","ocnLzx9CaJ","oacrs7FA3X","BUOGQAYlQx","wscyQdcy20","cTDWOvIxvz","I7sXao9hZE","CzM2PEoXns","1aApVXNlOP","D309nIvmXG","xD69zh8xqp","0ajvFaJAv0","eRqsBgTDFp"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","7j4O788W3g","W4YGzv6Whe","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","FU0Cs4j7VP","JclMnS0uGI","cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe"],"result":"⫖↰⪸-928","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4476","layer":4},{"info":"compute unary expreesion, input=4476, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-62068","layer":3},{"info":"number node, value=2400","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=3824, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=100","layer":3},{"info":"compute binary expreesion, left_input=-62068, right_input=100, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1657","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=2127, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=7344","layer":4},{"info":"compute unary expreesion, input=7344, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2772","layer":4},{"info":"compute unary expreesion, input=2772, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2364","layer":3},{"info":"number node, value=4216","layer":4},{"info":"number node, value=4496","layer":4},{"info":"compute binary expreesion, left_input=4216, right_input=4496, 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=753","layer":3},{"info":"compute binary expreesion, left_input=2364, right_input=753, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-1326","layer":2},{"info":"number node, value=6494","layer":4},{"info":"number node, value=4080","layer":4},{"info":"compute binary expreesion, left_input=6494, right_input=4080, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2020","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=2460, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4040","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4040, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-20249","layer":2},{"info":"compute binary expreesion, left_input=-1326, right_input=-20249, 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=-1326","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1326, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-1328","layer":0}],"base":12,"result_base":12,"text":"((⋂⫖↰⪸2710)⪘⫢(⫖↰⪸1480⫦⪉⫖↰⪸2268))⩼⇪↪((⫖↰⪸B61⪁⫖↰⪸1293)∝(⇋⊎⋝⫖↰⪸4300))⩹(∓⪦⫖↰⪸1730)⩼⇪↪(⫖↰⪸2534⩇∃⫛⫖↰⪸2728)⩇∃⫛⫖↰⪸3912⫁⫖↰⪸2440⪪⫖↰⪸1204⪒⊣⊆⫖↰⪸1510=⫖↰⪸-928","reverse_text":"⫖↰⪸-928=((⋂⫖↰⪸2710)⪘⫢(⫖↰⪸1480⫦⪉⫖↰⪸2268))⩼⇪↪((⫖↰⪸B61⪁⫖↰⪸1293)∝(⇋⊎⋝⫖↰⪸4300))⩹(∓⪦⫖↰⪸1730)⩼⇪↪(⫖↰⪸2534⩇∃⫛⫖↰⪸2728)⩇∃⫛⫖↰⪸3912⫁⫖↰⪸2440⪪⫖↰⪸1204⪒⊣⊆⫖↰⪸1510","cot":[{"info":"⋂⫖↰⪸2710=⫖↰⪸-2BB04","layer":3},{"info":"⫖↰⪸1480⫦⪉⫖↰⪸2268=⫖↰⪸84","layer":3},{"info":"⫖↰⪸-2BB04⪘⫢⫖↰⪸84=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸B61⪁⫖↰⪸1293=NaN","layer":3},{"info":"⇋⊎⋝⫖↰⪸4300=NaN","layer":3},{"info":"NaN∝NaN=NaN","layer":2},{"info":"⫖↰⪸-1⩼⇪↪NaN=NaN","layer":1},{"info":"∓⪦⫖↰⪸1730=⫖↰⪸1450","layer":3},{"info":"⫖↰⪸2534⩇∃⫛⫖↰⪸2728=⫖↰⪸529","layer":3},{"info":"⫖↰⪸1450⩼⇪↪⫖↰⪸529=⫖↰⪸-926","layer":2},{"info":"⫖↰⪸3912⫁⫖↰⪸2440=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1204⪒⊣⊆⫖↰⪸1510=⫖↰⪸2408","layer":3},{"info":"⫖↰⪸114⪪⫖↰⪸2408=⫖↰⪸-B875","layer":2},{"info":"⫖↰⪸-926⩇∃⫛⫖↰⪸-B875=⫖↰⪸-926","layer":1},{"info":"NaN⩹⫖↰⪸-926=⫖↰⪸-928","layer":0}]}
{"id":48,"expression_no_base_symbol":"(∐⩳⋚($2110$⪔$6489$))≒∊($4066$∌$4181$)↹⊜(↴⪽⋼$6129$)≃($5612$∺≝⩲$2126$⋆⋳)⪡$1147$↢$1409$∓⋝(↩⪖$1872$)","expression":"(∐⩳⋚(⫖↰⪸127A⪔⫖↰⪸3909))≒∊(⫖↰⪸242A∌⫖↰⪸2505)↹⊜(↴⪽⋼⫖↰⪸3669)≃(⫖↰⪸32B8∺≝⩲⫖↰⪸1292⋆⋳)⪡⫖↰⪸7B7↢⫖↰⪸995∓⋝(↩⪖⫖↰⪸1100)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6910,"operation_count":13,"complexity_ratio":531.5384615384615,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2110,"base":12},"right_expr":{"type":"numeric_atoms","value":6489,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4066,"base":12},"right_expr":{"type":"numeric_atoms","value":4181,"base":12}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":6129,"base":12}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5612,"base":12},"right_expr":{"type":"numeric_atoms","value":2126,"base":12}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1147,"base":12},"right_expr":{"type":"numeric_atoms","value":1409,"base":12}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1872,"base":12}}}}},"used_operators":["YbVcJGFEVW","5KTvxBwnZo","SL6IHkK8vl","GjBEYRfMaF","9bazX3JMtO","8cLx32lpNA","5TUYCnJO6w","oraRL2iQuh","6MpZysEj17","KPf6cnQVty","PoHhknlbAi","WR6HLWljOP","fG6uBQFnGz"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫖↰⪸4896A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2110","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=6489, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=49567","layer":2},{"info":"number node, value=4066","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=4066, right_input=4181, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4181","layer":3},{"info":"number node, value=6129","layer":4},{"info":"compute unary expreesion, input=6129, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=6129","layer":3},{"info":"compute binary expreesion, left_input=-4181, right_input=6129, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-49128","layer":2},{"info":"compute binary expreesion, left_input=49567, right_input=-49128, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-49083","layer":1},{"info":"number node, value=5612","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=5612, right_input=2126, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-352","layer":2},{"info":"number node, value=1147","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1409, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=663","layer":3},{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-14214","layer":3},{"info":"compute binary expreesion, left_input=663, right_input=-14214, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-352, right_input=67, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1672","layer":1},{"info":"compute binary expreesion, left_input=-49083, right_input=1672, 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=98146","layer":0}],"base":12,"result_base":12,"text":"(∐⩳⋚(⫖↰⪸127A⪔⫖↰⪸3909))≒∊(⫖↰⪸242A∌⫖↰⪸2505)↹⊜(↴⪽⋼⫖↰⪸3669)≃(⫖↰⪸32B8∺≝⩲⫖↰⪸1292⋆⋳)⪡⫖↰⪸7B7↢⫖↰⪸995∓⋝(↩⪖⫖↰⪸1100)=⫖↰⪸4896A","reverse_text":"⫖↰⪸4896A=(∐⩳⋚(⫖↰⪸127A⪔⫖↰⪸3909))≒∊(⫖↰⪸242A∌⫖↰⪸2505)↹⊜(↴⪽⋼⫖↰⪸3669)≃(⫖↰⪸32B8∺≝⩲⫖↰⪸1292⋆⋳)⪡⫖↰⪸7B7↢⫖↰⪸995∓⋝(↩⪖⫖↰⪸1100)","cot":[{"info":"⫖↰⪸127A⪔⫖↰⪸3909=⫖↰⪸316","layer":3},{"info":"∐⩳⋚⫖↰⪸316=⫖↰⪸24827","layer":2},{"info":"⫖↰⪸242A∌⫖↰⪸2505=⫖↰⪸-2505","layer":3},{"info":"↴⪽⋼⫖↰⪸3669=⫖↰⪸3669","layer":3},{"info":"⫖↰⪸-2505↹⊜⫖↰⪸3669=⫖↰⪸-24520","layer":2},{"info":"⫖↰⪸24827≒∊⫖↰⪸-24520=⫖↰⪸-244A3","layer":1},{"info":"⫖↰⪸32B8∺≝⩲⫖↰⪸1292=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⋆⋳=⫖↰⪸-254","layer":2},{"info":"⫖↰⪸7B7↢⫖↰⪸995=⫖↰⪸473","layer":3},{"info":"↩⪖⫖↰⪸1100=⫖↰⪸-8286","layer":3},{"info":"⫖↰⪸473∓⋝⫖↰⪸-8286=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-254⪡⫖↰⪸57=⫖↰⪸B74","layer":1},{"info":"⫖↰⪸-244A3≃⫖↰⪸B74=⫖↰⪸4896A","layer":0}]}
{"id":49,"expression_no_base_symbol":"(⇖(⋣$1724$⫁$7975$))⪡((≋$1314$)⊝⪿⪼($2914$⪉⨛$1940$))⨥⫆($4944$⨟⋌⩍$3156$)⪬($2321$⪥$5970$)","expression":"(⇖(⋣⫖↰⪸BB8⫁⫖↰⪸4747))⪡((≋⫖↰⪸916)⊝⪿⪼(⫖↰⪸182A⪉⨛⫖↰⪸1158))⨥⫆(⫖↰⪸2A40⨟⋌⩍⫖↰⪸19B0)⪬(⫖↰⪸1415⪥⫖↰⪸3556)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":936,"operation_count":11,"complexity_ratio":85.0909090909091,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1724,"base":12},"right_expr":{"type":"numeric_atoms","value":7975,"base":12}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1314,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2914,"base":12},"right_expr":{"type":"numeric_atoms","value":1940,"base":12}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4944,"base":12},"right_expr":{"type":"numeric_atoms","value":3156,"base":12}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2321,"base":12},"right_expr":{"type":"numeric_atoms","value":5970,"base":12}}}}},"used_operators":["oraRL2iQuh","tfWHHpNKUN","zQWRhDnn8F","0ajvFaJAv0","yXekIHxTD4","3Oe9XWJUTD","61wBmkZwlr","EWw2JM7wp4","Ez1Nq5fNfI","rGHVDoGpnC","QbnwKVWMIQ"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","2DQ55sFlQl","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","cHh1gJQ2o6","AHs5Up7iyr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","7j4O788W3g","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Tcnh7f0tEr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⫖↰⪸8B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1724","layer":4},{"info":"number node, value=7975","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=7975, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-46945","layer":2},{"info":"compute unary expreesion, input=-46945, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1314","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=1940, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7017","layer":3},{"info":"compute binary expreesion, left_input=1314, right_input=7017, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=29642","layer":2},{"info":"number node, value=4944","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=4944, right_input=3156, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2321","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=5970, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13936","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13936, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=29642, right_input=1234, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2344","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2344, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":0}],"base":12,"result_base":12,"text":"(⇖(⋣⫖↰⪸BB8⫁⫖↰⪸4747))⪡((≋⫖↰⪸916)⊝⪿⪼(⫖↰⪸182A⪉⨛⫖↰⪸1158))⨥⫆(⫖↰⪸2A40⨟⋌⩍⫖↰⪸19B0)⪬(⫖↰⪸1415⪥⫖↰⪸3556)=⫖↰⪸8B","reverse_text":"⫖↰⪸8B=(⇖(⋣⫖↰⪸BB8⫁⫖↰⪸4747))⪡((≋⫖↰⪸916)⊝⪿⪼(⫖↰⪸182A⪉⨛⫖↰⪸1158))⨥⫆(⫖↰⪸2A40⨟⋌⩍⫖↰⪸19B0)⪬(⫖↰⪸1415⪥⫖↰⪸3556)","cot":[{"info":"⫖↰⪸BB8⫁⫖↰⪸4747=⫖↰⪸114","layer":3},{"info":"⋣⫖↰⪸114=⫖↰⪸-23201","layer":2},{"info":"⇖⫖↰⪸-23201=⫖↰⪸114","layer":1},{"info":"≋⫖↰⪸916=⫖↰⪸916","layer":3},{"info":"⫖↰⪸182A⪉⨛⫖↰⪸1158=⫖↰⪸4089","layer":3},{"info":"⫖↰⪸916⊝⪿⪼⫖↰⪸4089=⫖↰⪸151A2","layer":2},{"info":"⫖↰⪸2A40⨟⋌⩍⫖↰⪸19B0=NaN","layer":3},{"info":"⫖↰⪸1415⪥⫖↰⪸3556=⫖↰⪸8094","layer":3},{"info":"NaN⪬⫖↰⪸8094=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸151A2⨥⫆⫖↰⪸86A=⫖↰⪸1434","layer":1},{"info":"⫖↰⪸114⪡⫖↰⪸1434=⫖↰⪸8B","layer":0}]}
{"id":50,"expression_no_base_symbol":"((⊽(↡$1652$))+⇶⊼($2639$⊾⪯⋞$5768$)⩷∴$3715$⪶≀⋏$2501$)∴(($1566$⫗⊷⫓$4230$⩚⊴⇥$3917$⊱⇼⊻$2690$)⩇∃⫛(($3675$-$4207$)↺$2966$⇤$3526$))","expression":"((⊽(↡⫖↰⪸B58))+⇶⊼(⫖↰⪸163B⊾⪯⋞⫖↰⪸3408)⩷∴⫖↰⪸2197⪶≀⋏⫖↰⪸1545)∴((⫖↰⪸AA6⫗⊷⫓⫖↰⪸2546⩚⊴⇥⫖↰⪸2325⊱⇼⊻⫖↰⪸1682)⩇∃⫛((⫖↰⪸2163-⫖↰⪸2527)↺⫖↰⪸1872⇤⫖↰⪸205A))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":811,"operation_count":14,"complexity_ratio":57.92857142857143,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1652,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2639,"base":12},"right_expr":{"type":"numeric_atoms","value":5768,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3715,"base":12},"right_expr":{"type":"numeric_atoms","value":2501,"base":12}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1566,"base":12},"right_expr":{"type":"numeric_atoms","value":4230,"base":12}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3917,"base":12},"right_expr":{"type":"numeric_atoms","value":2690,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3675,"base":12},"right_expr":{"type":"numeric_atoms","value":4207,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2966,"base":12},"right_expr":{"type":"numeric_atoms","value":3526,"base":12}}}}},"used_operators":["hrf7POJlIJ","TpPTUOHfaN","QxG7OkqoLX","MXaNJeIAZ3","9FxExcQeMw","HK0tfVPux8","zR4jO40bMj","1aApVXNlOP","NTOWxs364D","zashukvMKz","FyVja0WsTP","7j4O788W3g","rysDP5nf3Z","YSKBFp38Pu"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AHs5Up7iyr","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=14868","layer":3},{"info":"compute unary expreesion, input=14868, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=31258","layer":2},{"info":"number node, value=2639","layer":4},{"info":"number node, value=5768","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=5768, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=11110","layer":3},{"info":"number node, value=3715","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=2501, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-16379","layer":3},{"info":"compute binary expreesion, left_input=11110, right_input=-16379, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=54946","layer":2},{"info":"compute binary expreesion, left_input=31258, right_input=54946, 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=1566","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=4230, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3917","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=2690, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=434, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-421","layer":2},{"info":"number node, value=3675","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=4207, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-532","layer":3},{"info":"number node, value=2966","layer":4},{"info":"number node, value=3526","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=3526, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-29612","layer":3},{"info":"compute binary expreesion, left_input=-532, right_input=-29612, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-29612","layer":2},{"info":"compute binary expreesion, left_input=-421, right_input=-29612, 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=-421","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-421, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊽(↡⫖↰⪸B58))+⇶⊼(⫖↰⪸163B⊾⪯⋞⫖↰⪸3408)⩷∴⫖↰⪸2197⪶≀⋏⫖↰⪸1545)∴((⫖↰⪸AA6⫗⊷⫓⫖↰⪸2546⩚⊴⇥⫖↰⪸2325⊱⇼⊻⫖↰⪸1682)⩇∃⫛((⫖↰⪸2163-⫖↰⪸2527)↺⫖↰⪸1872⇤⫖↰⪸205A))=NaN","reverse_text":"NaN=((⊽(↡⫖↰⪸B58))+⇶⊼(⫖↰⪸163B⊾⪯⋞⫖↰⪸3408)⩷∴⫖↰⪸2197⪶≀⋏⫖↰⪸1545)∴((⫖↰⪸AA6⫗⊷⫓⫖↰⪸2546⩚⊴⇥⫖↰⪸2325⊱⇼⊻⫖↰⪸1682)⩇∃⫛((⫖↰⪸2163-⫖↰⪸2527)↺⫖↰⪸1872⇤⫖↰⪸205A))","cot":[{"info":"↡⫖↰⪸B58=⫖↰⪸8730","layer":3},{"info":"⊽⫖↰⪸8730=⫖↰⪸1610A","layer":2},{"info":"⫖↰⪸163B⊾⪯⋞⫖↰⪸3408=⫖↰⪸651A","layer":3},{"info":"⫖↰⪸2197⪶≀⋏⫖↰⪸1545=⫖↰⪸-958B","layer":3},{"info":"⫖↰⪸651A⩷∴⫖↰⪸-958B=⫖↰⪸2796A","layer":2},{"info":"⫖↰⪸1610A+⇶⊼⫖↰⪸2796A=NaN","layer":1},{"info":"⫖↰⪸AA6⫗⊷⫓⫖↰⪸2546=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸2325⊱⇼⊻⫖↰⪸1682=⫖↰⪸302","layer":3},{"info":"⫖↰⪸-B2⩚⊴⇥⫖↰⪸302=⫖↰⪸-2B1","layer":2},{"info":"⫖↰⪸2163-⫖↰⪸2527=⫖↰⪸-384","layer":3},{"info":"⫖↰⪸1872⇤⫖↰⪸205A=⫖↰⪸-15178","layer":3},{"info":"⫖↰⪸-384↺⫖↰⪸-15178=⫖↰⪸-15178","layer":2},{"info":"⫖↰⪸-2B1⩇∃⫛⫖↰⪸-15178=⫖↰⪸-2B1","layer":1},{"info":"NaN∴⫖↰⪸-2B1=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"(↘(⪝⪂⫅$5410$∓⋝$1882$))∌↝($1208$≎⪠$2007$⪎↠($2063$∖$1882$))↳≱($1890$⫘$2401$⨓$7534$⊋$2697$)","expression":"(↘(⪝⪂⫅⫖↰⪸316A∓⋝⫖↰⪸110A))∌↝(⫖↰⪸848≎⪠⫖↰⪸11B3⪎↠(⫖↰⪸123B∖⫖↰⪸110A))↳≱(⫖↰⪸1116⫘⫖↰⪸1481⨓⫖↰⪸443A⊋⫖↰⪸1689)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31559,"operation_count":11,"complexity_ratio":2869.0,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5410,"base":12},"right_expr":{"type":"numeric_atoms","value":1882,"base":12}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1208,"base":12},"right_expr":{"type":"numeric_atoms","value":2007,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2063,"base":12},"right_expr":{"type":"numeric_atoms","value":1882,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1890,"base":12},"right_expr":{"type":"numeric_atoms","value":2401,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7534,"base":12},"right_expr":{"type":"numeric_atoms","value":2697,"base":12}}}}},"used_operators":["9Isq31Ruls","LdNpr8hQHL","XTarYq4gQB","PoHhknlbAi","JwTKLfZU96","3tVxb0NHM4","aNhz54LH3e","tXD093vOjl","3ViojmjbAp","48vC8HMD2b","W4tP9CfskL"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","uFcxV4UQCh","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5410","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=5410, right_input=1882, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-9849","layer":2},{"info":"compute unary expreesion, input=-9849, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=343","layer":1},{"info":"number node, value=1208","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=2007, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2063","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=1882, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=1890","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=2401, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2227045","layer":3},{"info":"number node, value=7534","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=7534, right_input=2697, 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=102064432","layer":3},{"info":"compute binary expreesion, left_input=2227045, right_input=102064432, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=343, 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":12,"result_base":12,"text":"(↘(⪝⪂⫅⫖↰⪸316A∓⋝⫖↰⪸110A))∌↝(⫖↰⪸848≎⪠⫖↰⪸11B3⪎↠(⫖↰⪸123B∖⫖↰⪸110A))↳≱(⫖↰⪸1116⫘⫖↰⪸1481⨓⫖↰⪸443A⊋⫖↰⪸1689)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(↘(⪝⪂⫅⫖↰⪸316A∓⋝⫖↰⪸110A))∌↝(⫖↰⪸848≎⪠⫖↰⪸11B3⪎↠(⫖↰⪸123B∖⫖↰⪸110A))↳≱(⫖↰⪸1116⫘⫖↰⪸1481⨓⫖↰⪸443A⊋⫖↰⪸1689)","cot":[{"info":"⫖↰⪸316A∓⋝⫖↰⪸110A=⫖↰⪸57","layer":3},{"info":"⪝⪂⫅⫖↰⪸57=⫖↰⪸-5849","layer":2},{"info":"↘⫖↰⪸-5849=⫖↰⪸247","layer":1},{"info":"⫖↰⪸848≎⪠⫖↰⪸11B3=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸123B∖⫖↰⪸110A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B39A⪎↠⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1116⫘⫖↰⪸1481=⫖↰⪸8B4971","layer":3},{"info":"⫖↰⪸443A⊋⫖↰⪸1689=⫖↰⪸2A221094","layer":3},{"info":"⫖↰⪸8B4971⨓⫖↰⪸2A221094=NaN","layer":2},{"info":"⫖↰⪸114↳≱NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸247∌↝⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":52,"expression_no_base_symbol":"((⫟$5183$⇼⇔∾$1469$)∷(≤/$1693$⇄$3605$))⪔(⊲⪭$7109$↞⋁$2452$)⊝⪿⪼((⨰⫟⨤$1060$)⨭⪣$2670$⫲≸⪮$5306$)","expression":"((⫟⫖↰⪸2BBB⇼⇔∾⫖↰⪸A25)∷(≤/⫖↰⪸B91⇄⫖↰⪸2105))⪔(⊲⪭⫖↰⪸4145↞⋁⫖↰⪸1504)⊝⪿⪼((⨰⫟⨤⫖↰⪸744)⨭⪣⫖↰⪸1666⫲≸⪮⫖↰⪸30A2)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6420,"operation_count":12,"complexity_ratio":535.0,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5183,"base":12},"right_expr":{"type":"numeric_atoms","value":1469,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1693,"base":12},"right_expr":{"type":"numeric_atoms","value":3605,"base":12}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7109,"base":12},"right_expr":{"type":"numeric_atoms","value":2452,"base":12}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1060,"base":12}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2670,"base":12},"right_expr":{"type":"numeric_atoms","value":5306,"base":12}}}}},"used_operators":["GjBEYRfMaF","D3AQDKkPcf","z4E1FaHLuy","tifHPKVTfV","eLAdDNolq6","3EYGwJThht","3Oe9XWJUTD","k7HXdKtiEU","RqrPlJkxDo","kn8WO9XteQ","Tw270M8GLb","P3lXMJvFrc"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5183","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=5183, right_input=1469, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3714","layer":3},{"info":"compute unary expreesion, input=-3714, 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=3476","layer":2},{"info":"number node, value=1693","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=3605, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=3476, right_input=484, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=484","layer":1},{"info":"number node, value=7109","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=7109, right_input=2452, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":2},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2670","layer":4},{"info":"number node, value=5306","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=5306, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2670, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=484, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫟⫖↰⪸2BBB⇼⇔∾⫖↰⪸A25)∷(≤/⫖↰⪸B91⇄⫖↰⪸2105))⪔(⊲⪭⫖↰⪸4145↞⋁⫖↰⪸1504)⊝⪿⪼((⨰⫟⨤⫖↰⪸744)⨭⪣⫖↰⪸1666⫲≸⪮⫖↰⪸30A2)=NaN","reverse_text":"NaN=((⫟⫖↰⪸2BBB⇼⇔∾⫖↰⪸A25)∷(≤/⫖↰⪸B91⇄⫖↰⪸2105))⪔(⊲⪭⫖↰⪸4145↞⋁⫖↰⪸1504)⊝⪿⪼((⨰⫟⨤⫖↰⪸744)⨭⪣⫖↰⪸1666⫲≸⪮⫖↰⪸30A2)","cot":[{"info":"⫖↰⪸2BBB⇼⇔∾⫖↰⪸A25=⫖↰⪸-2196","layer":3},{"info":"⫟⫖↰⪸-2196=⫖↰⪸2018","layer":2},{"info":"⫖↰⪸B91⇄⫖↰⪸2105=⫖↰⪸0","layer":3},{"info":"≤/⫖↰⪸0=⫖↰⪸344","layer":2},{"info":"⫖↰⪸2018∷⫖↰⪸344=⫖↰⪸344","layer":1},{"info":"⫖↰⪸4145↞⋁⫖↰⪸1504=NaN","layer":3},{"info":"⊲⪭NaN=NaN","layer":2},{"info":"⨰⫟⨤⫖↰⪸744=NaN","layer":3},{"info":"⫖↰⪸1666⫲≸⪮⫖↰⪸30A2=⫖↰⪸1666","layer":3},{"info":"NaN⨭⪣⫖↰⪸1666=NaN","layer":2},{"info":"NaN⊝⪿⪼NaN=NaN","layer":1},{"info":"⫖↰⪸344⪔NaN=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"($3594$∳⫺$2671$)≌($3423$⊝⪿⪼$1211$)⫔⩽⩺($3675$⊋≦⊧$1381$⋷(⊤⊝$9554$))⨵⪆((⊖$1632$)∲⫓$4768$≠≀$2292$)∙⊟($6837$⩒⫫$2636$)≌($1501$⩘)","expression":"(⫖↰⪸20B6∳⫺⫖↰⪸1667)≌(⫖↰⪸1B93⊝⪿⪼⫖↰⪸84B)⫔⩽⩺(⫖↰⪸2163⊋≦⊧⫖↰⪸971⋷(⊤⊝⫖↰⪸5642))⨵⪆((⊖⫖↰⪸B40)∲⫓⫖↰⪸2914≠≀⫖↰⪸13B0)∙⊟(⫖↰⪸3B59⩒⫫⫖↰⪸1638)≌(⫖↰⪸A51⩘)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":57428,"operation_count":15,"complexity_ratio":3828.5333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3594,"base":12},"right_expr":{"type":"numeric_atoms","value":2671,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3423,"base":12},"right_expr":{"type":"numeric_atoms","value":1211,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3675,"base":12},"right_expr":{"type":"numeric_atoms","value":1381,"base":12}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":9554,"base":12}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1632,"base":12}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4768,"base":12},"right_expr":{"type":"numeric_atoms","value":2292,"base":12}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":6837,"base":12},"right_expr":{"type":"numeric_atoms","value":2636,"base":12}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1501,"base":12}}}}},"used_operators":["2DQ55sFlQl","i9eR4S00cU","lyWz822IDG","AzXXKTstlj","3Oe9XWJUTD","23Mk6UjR3U","oRDoc9rAEX","rXAclfmB4M","SxTAKzQCrw","i8ToyICDmI","U6pG0PXrV3","IwW236VD4Y","KFSx94NKJn","wvHyciQT5X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","sdazOOVcIp","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9ICcGScMcE","dfKe02y8D2"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3594","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=3594, right_input=2671, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3423","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=3423, right_input=1211, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=51921","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=51921, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=3675","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=1381, 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=-2522","layer":3},{"info":"number node, value=9554","layer":4},{"info":"compute unary expreesion, input=9554, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=17810","layer":3},{"info":"compute binary expreesion, left_input=-2522, right_input=17810, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5044","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5044, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1632","layer":4},{"info":"compute unary expreesion, input=1632, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=4768","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=4768, right_input=2292, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9230","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9230, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=6837","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=6837, right_input=2636, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=6535","layer":3},{"info":"number node, value=1501","layer":4},{"info":"compute unary expreesion, input=1501, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=6535, right_input=67, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9360","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9360, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=22285, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸20B6∳⫺⫖↰⪸1667)≌(⫖↰⪸1B93⊝⪿⪼⫖↰⪸84B)⫔⩽⩺(⫖↰⪸2163⊋≦⊧⫖↰⪸971⋷(⊤⊝⫖↰⪸5642))⨵⪆((⊖⫖↰⪸B40)∲⫓⫖↰⪸2914≠≀⫖↰⪸13B0)∙⊟(⫖↰⪸3B59⩒⫫⫖↰⪸1638)≌(⫖↰⪸A51⩘)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸20B6∳⫺⫖↰⪸1667)≌(⫖↰⪸1B93⊝⪿⪼⫖↰⪸84B)⫔⩽⩺(⫖↰⪸2163⊋≦⊧⫖↰⪸971⋷(⊤⊝⫖↰⪸5642))⨵⪆((⊖⫖↰⪸B40)∲⫓⫖↰⪸2914≠≀⫖↰⪸13B0)∙⊟(⫖↰⪸3B59⩒⫫⫖↰⪸1638)≌(⫖↰⪸A51⩘)","cot":[{"info":"⫖↰⪸20B6∳⫺⫖↰⪸1667=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸1B93⊝⪿⪼⫖↰⪸84B=⫖↰⪸26069","layer":3},{"info":"⫖↰⪸-198≌⫖↰⪸26069=NaN","layer":2},{"info":"⫖↰⪸2163⊋≦⊧⫖↰⪸971=⫖↰⪸-1562","layer":3},{"info":"⊤⊝⫖↰⪸5642=⫖↰⪸A382","layer":3},{"info":"⫖↰⪸-1562⋷⫖↰⪸A382=⫖↰⪸2B04","layer":2},{"info":"NaN⫔⩽⩺⫖↰⪸2B04=NaN","layer":1},{"info":"⊖⫖↰⪸B40=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2914≠≀⫖↰⪸13B0=⫖↰⪸-5412","layer":3},{"info":"⫖↰⪸0∲⫓⫖↰⪸-5412=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3B59⩒⫫⫖↰⪸1638=⫖↰⪸3947","layer":3},{"info":"⫖↰⪸A51⩘=⫖↰⪸57","layer":3},{"info":"⫖↰⪸3947≌⫖↰⪸57=⫖↰⪸5500","layer":2},{"info":"⫖↰⪸0∙⊟⫖↰⪸5500=⫖↰⪸10A91","layer":1},{"info":"NaN⨵⪆⫖↰⪸10A91=⫖↰⪸114","layer":0}]}
{"id":54,"expression_no_base_symbol":"(($1945$⨜⨶$5646$⨻⩈⩔(≔$3741$))⫁⪎(($2599$≭$1277$)≄⊠($5530$⇴∐$3681$)))⪃⊛⇣((($6964$⫦⪉$1758$)⪭≯(⩩$4096$))⋓$1005$⩼⇪↪$3022$⋾⨃∁(≻⋜$1784$))","expression":"((⫖↰⪸1161⨜⨶⫖↰⪸3326⨻⩈⩔(≔⫖↰⪸21B9))⫁⪎((⫖↰⪸1607≭⫖↰⪸8A5)≄⊠(⫖↰⪸324A⇴∐⫖↰⪸2169)))⪃⊛⇣(((⫖↰⪸4044⫦⪉⫖↰⪸1026)⪭≯(⩩⫖↰⪸2454))⋓⫖↰⪸6B9⩼⇪↪⫖↰⪸18BA⋾⨃∁(≻⋜⫖↰⪸1048))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19930,"operation_count":15,"complexity_ratio":1328.6666666666667,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1945,"base":12},"right_expr":{"type":"numeric_atoms","value":5646,"base":12}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":3741,"base":12}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2599,"base":12},"right_expr":{"type":"numeric_atoms","value":1277,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5530,"base":12},"right_expr":{"type":"numeric_atoms","value":3681,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6964,"base":12},"right_expr":{"type":"numeric_atoms","value":1758,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4096,"base":12}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":3022,"base":12}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1784,"base":12}}}}},"used_operators":["rrgAzCduG9","xRrnTEsQ6j","nEsXyWgiOK","HiPekx5b7W","8FLs4eVsLt","vXNesLlMH1","rxpJgHHUmx","HnzytWxmAO","T2fj7uvVaJ","XAx5wpdLa6","wscyQdcy20","kMhfGuqI2H","212REbPD9h","ocnLzx9CaJ","3tj9sqzovi"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","AHs5Up7iyr","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1945","layer":4},{"info":"number node, value=5646","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=5646, 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=-11036","layer":3},{"info":"number node, value=3741","layer":4},{"info":"compute unary expreesion, input=3741, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-103454","layer":3},{"info":"compute binary expreesion, left_input=-11036, right_input=-103454, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1277, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5530","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=5530, right_input=3681, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=1500, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1674","layer":1},{"info":"number node, value=6964","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=6964, right_input=1758, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9028","layer":3},{"info":"number node, value=4096","layer":4},{"info":"compute unary expreesion, input=4096, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9028, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=3022, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-19927","layer":3},{"info":"number node, value=1784","layer":4},{"info":"compute unary expreesion, input=1784, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-19927, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1674, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1161⨜⨶⫖↰⪸3326⨻⩈⩔(≔⫖↰⪸21B9))⫁⪎((⫖↰⪸1607≭⫖↰⪸8A5)≄⊠(⫖↰⪸324A⇴∐⫖↰⪸2169)))⪃⊛⇣(((⫖↰⪸4044⫦⪉⫖↰⪸1026)⪭≯(⩩⫖↰⪸2454))⋓⫖↰⪸6B9⩼⇪↪⫖↰⪸18BA⋾⨃∁(≻⋜⫖↰⪸1048))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((⫖↰⪸1161⨜⨶⫖↰⪸3326⨻⩈⩔(≔⫖↰⪸21B9))⫁⪎((⫖↰⪸1607≭⫖↰⪸8A5)≄⊠(⫖↰⪸324A⇴∐⫖↰⪸2169)))⪃⊛⇣(((⫖↰⪸4044⫦⪉⫖↰⪸1026)⪭≯(⩩⫖↰⪸2454))⋓⫖↰⪸6B9⩼⇪↪⫖↰⪸18BA⋾⨃∁(≻⋜⫖↰⪸1048))","cot":[{"info":"⫖↰⪸1161⨜⨶⫖↰⪸3326=⫖↰⪸-6478","layer":3},{"info":"≔⫖↰⪸21B9=⫖↰⪸-4BA52","layer":3},{"info":"⫖↰⪸-6478⨻⩈⩔⫖↰⪸-4BA52=⫖↰⪸-126","layer":2},{"info":"⫖↰⪸1607≭⫖↰⪸8A5=NaN","layer":3},{"info":"⫖↰⪸324A⇴∐⫖↰⪸2169=NaN","layer":3},{"info":"NaN≄⊠NaN=⫖↰⪸A50","layer":2},{"info":"⫖↰⪸-126⫁⪎⫖↰⪸A50=⫖↰⪸-B76","layer":1},{"info":"⫖↰⪸4044⫦⪉⫖↰⪸1026=⫖↰⪸-5284","layer":3},{"info":"⩩⫖↰⪸2454=NaN","layer":3},{"info":"⫖↰⪸-5284⪭≯NaN=NaN","layer":2},{"info":"⫖↰⪸6B9⩼⇪↪⫖↰⪸18BA=⫖↰⪸-B647","layer":3},{"info":"≻⋜⫖↰⪸1048=NaN","layer":3},{"info":"⫖↰⪸-B647⋾⨃∁NaN=⫖↰⪸114","layer":2},{"info":"NaN⋓⫖↰⪸114=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-B76⪃⊛⇣⫖↰⪸0=⫖↰⪸86A","layer":0}]}
{"id":55,"expression_no_base_symbol":"(⊖(-($2546$⊬⫿⊭)))⪉⨛((⇖⫷⫕($2433$⨽$5370$))⊾⪯⋞(⨛$1033$↢$1523$))","expression":"(⊖(-(⫖↰⪸1582⊬⫿⊭)))⪉⨛((⇖⫷⫕(⫖↰⪸14A9⨽⫖↰⪸3136))⊾⪯⋞(⨛⫖↰⪸721↢⫖↰⪸A6B))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":351783,"operation_count":9,"complexity_ratio":39087.0,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2546,"base":12}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2433,"base":12},"right_expr":{"type":"numeric_atoms","value":5370,"base":12}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1033,"base":12},"right_expr":{"type":"numeric_atoms","value":1523,"base":12}}}}},"used_operators":["EWw2JM7wp4","U6pG0PXrV3","t8gj7n24qd","v0DYgG9ikt","HK0tfVPux8","UHmRx3INFg","8HhzD0ZcuI","CoMdbyAt7R","WR6HLWljOP"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-7638","layer":3},{"info":"compute unary expreesion, input=-7638, op_id = t8gj7n24qd, unary_op_definition = 'None', output=7638","layer":2},{"info":"compute unary expreesion, input=7638, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"number node, value=2433","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=5370, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17773263","layer":3},{"info":"compute unary expreesion, input=-17773263, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1523, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=549","layer":3},{"info":"compute unary expreesion, input=549, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊖(-(⫖↰⪸1582⊬⫿⊭)))⪉⨛((⇖⫷⫕(⫖↰⪸14A9⨽⫖↰⪸3136))⊾⪯⋞(⨛⫖↰⪸721↢⫖↰⪸A6B))=NaN","reverse_text":"NaN=(⊖(-(⫖↰⪸1582⊬⫿⊭)))⪉⨛((⇖⫷⫕(⫖↰⪸14A9⨽⫖↰⪸3136))⊾⪯⋞(⨛⫖↰⪸721↢⫖↰⪸A6B))","cot":[{"info":"⫖↰⪸1582⊬⫿⊭=⫖↰⪸-4506","layer":3},{"info":"-⫖↰⪸-4506=⫖↰⪸4506","layer":2},{"info":"⊖⫖↰⪸4506=⫖↰⪸0","layer":1},{"info":"⫖↰⪸14A9⨽⫖↰⪸3136=⫖↰⪸-5B51553","layer":3},{"info":"⇖⫷⫕⫖↰⪸-5B51553=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸721↢⫖↰⪸A6B=⫖↰⪸399","layer":3},{"info":"⨛⫖↰⪸399=NaN","layer":2},{"info":"⫖↰⪸1772⊾⪯⋞NaN=NaN","layer":1},{"info":"⫖↰⪸0⪉⨛NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(($6947$≓∲$1034$)⪭≯$3911$∳⫺$2559$∙⊟($2092$↳≱$1071$⩹$1196$≥⨤⩑$1783$))⪬((⨵($9231$⊭↱$3585$))∋(⪨⨬($4767$⇮⋭$2422$)))","expression":"((⫖↰⪸402B≓∲⫖↰⪸722)⪭≯⫖↰⪸231B∳⫺⫖↰⪸1593∙⊟(⫖↰⪸1264↳≱⫖↰⪸753⩹⫖↰⪸838≥⨤⩑⫖↰⪸1047))⪬((⨵(⫖↰⪸5413⊭↱⫖↰⪸20A9))∋(⪨⨬(⫖↰⪸2913⇮⋭⫖↰⪸149A)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1246,"operation_count":13,"complexity_ratio":95.84615384615384,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6947,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3911,"base":12},"right_expr":{"type":"numeric_atoms","value":2559,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2092,"base":12},"right_expr":{"type":"numeric_atoms","value":1071,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1196,"base":12},"right_expr":{"type":"numeric_atoms","value":1783,"base":12}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":9231,"base":12},"right_expr":{"type":"numeric_atoms","value":3585,"base":12}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4767,"base":12},"right_expr":{"type":"numeric_atoms","value":2422,"base":12}}}}},"used_operators":["Ez1Nq5fNfI","SxTAKzQCrw","XAx5wpdLa6","s1XTVnmDOJ","AzXXKTstlj","2Wsdkap16l","JwTKLfZU96","gJLn6v0xnP","ukq6epAj5P","Tl3Y52tvF8","COABgblf1C","5obUd6DV38","vkpjKywKVM"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6947","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=6947, right_input=1034, 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=70253","layer":3},{"info":"number node, value=3911","layer":4},{"info":"number node, value=2559","layer":4},{"info":"compute binary expreesion, left_input=3911, right_input=2559, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=70253, right_input=-260, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2092","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=1071, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1783, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=1232, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"number node, value=9231","layer":4},{"info":"number node, value=3585","layer":4},{"info":"compute binary expreesion, left_input=9231, right_input=3585, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11287","layer":3},{"info":"compute unary expreesion, input=-11287, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=273743","layer":2},{"info":"number node, value=4767","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=4767, right_input=2422, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=273743, right_input=-526, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-1149596","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1149596, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸402B≓∲⫖↰⪸722)⪭≯⫖↰⪸231B∳⫺⫖↰⪸1593∙⊟(⫖↰⪸1264↳≱⫖↰⪸753⩹⫖↰⪸838≥⨤⩑⫖↰⪸1047))⪬((⨵(⫖↰⪸5413⊭↱⫖↰⪸20A9))∋(⪨⨬(⫖↰⪸2913⇮⋭⫖↰⪸149A)))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((⫖↰⪸402B≓∲⫖↰⪸722)⪭≯⫖↰⪸231B∳⫺⫖↰⪸1593∙⊟(⫖↰⪸1264↳≱⫖↰⪸753⩹⫖↰⪸838≥⨤⩑⫖↰⪸1047))⪬((⨵(⫖↰⪸5413⊭↱⫖↰⪸20A9))∋(⪨⨬(⫖↰⪸2913⇮⋭⫖↰⪸149A)))","cot":[{"info":"⫖↰⪸402B≓∲⫖↰⪸722=⫖↰⪸347A5","layer":3},{"info":"⫖↰⪸231B∳⫺⫖↰⪸1593=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸347A5⪭≯⫖↰⪸-198=NaN","layer":2},{"info":"⫖↰⪸1264↳≱⫖↰⪸753=⫖↰⪸0","layer":3},{"info":"⫖↰⪸838≥⨤⩑⫖↰⪸1047=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸0⩹⫖↰⪸86A=⫖↰⪸868","layer":2},{"info":"NaN∙⊟⫖↰⪸868=NaN","layer":1},{"info":"⫖↰⪸5413⊭↱⫖↰⪸20A9=⫖↰⪸-6647","layer":3},{"info":"⨵⫖↰⪸-6647=⫖↰⪸1124BB","layer":2},{"info":"⫖↰⪸2913⇮⋭⫖↰⪸149A=⫖↰⪸-335","layer":3},{"info":"⪨⨬⫖↰⪸-335=⫖↰⪸-37A","layer":2},{"info":"⫖↰⪸1124BB∋⫖↰⪸-37A=⫖↰⪸-475338","layer":1},{"info":"NaN⪬⫖↰⪸-475338=⫖↰⪸86A","layer":0}]}
{"id":57,"expression_no_base_symbol":"($1966$∲⫓$1549$)⨂≜($7255$↳≱$7974$)⪶≀⋏($1030$/$3348$⨵⪆(∂⩏⊆$1613$))⊾⪯⋞(≑⋹($4123$⨑⩅≇$3722$))⇣⩺⋵(($5396$∸)∕⩚($6916$⊹≧⊝))","expression":"(⫖↰⪸117A∲⫓⫖↰⪸A91)⨂≜(⫖↰⪸4247↳≱⫖↰⪸4746)⪶≀⋏(⫖↰⪸71A/⫖↰⪸1B30⨵⪆(∂⩏⊆⫖↰⪸B25))⊾⪯⋞(≑⋹(⫖↰⪸2477⨑⩅≇⫖↰⪸21A2))⇣⩺⋵((⫖↰⪸3158∸)∕⩚(⫖↰⪸4004⊹≧⊝))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16909,"operation_count":14,"complexity_ratio":1207.7857142857142,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1966,"base":12},"right_expr":{"type":"numeric_atoms","value":1549,"base":12}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7255,"base":12},"right_expr":{"type":"numeric_atoms","value":7974,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1030,"base":12},"right_expr":{"type":"numeric_atoms","value":3348,"base":12}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1613,"base":12}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4123,"base":12},"right_expr":{"type":"numeric_atoms","value":3722,"base":12}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5396,"base":12}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":6916,"base":12}}}}},"used_operators":["HK0tfVPux8","zR4jO40bMj","k1SHOSEABc","i8ToyICDmI","JwTKLfZU96","2DQ55sFlQl","XhwjNDsVaA","8WDwsbhb0R","F4yD0voBRQ","6B9nyZLogK","h92wMvzauj","z9ffQ9n5Zr","o20kRiQErp","LxFB4K6j0n"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","14qkJME0vr","eLAdDNolq6","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","tmPS8pqC7x","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸-584","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1966","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1549, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=7255","layer":4},{"info":"number node, value=7974","layer":4},{"info":"compute binary expreesion, left_input=7255, right_input=7974, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=-170","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=3348, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4918","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4918, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-170, right_input=160, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=1280","layer":1},{"info":"number node, value=4123","layer":4},{"info":"number node, value=3722","layer":4},{"info":"compute binary expreesion, left_input=4123, right_input=3722, 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=-12369","layer":3},{"info":"compute unary expreesion, input=-12369, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"number node, value=5396","layer":4},{"info":"compute unary expreesion, input=5396, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=6916","layer":4},{"info":"compute unary expreesion, input=6916, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-27664","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-27664, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=-487, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-2028","layer":1},{"info":"compute binary expreesion, left_input=1280, right_input=-2028, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸117A∲⫓⫖↰⪸A91)⨂≜(⫖↰⪸4247↳≱⫖↰⪸4746)⪶≀⋏(⫖↰⪸71A/⫖↰⪸1B30⨵⪆(∂⩏⊆⫖↰⪸B25))⊾⪯⋞(≑⋹(⫖↰⪸2477⨑⩅≇⫖↰⪸21A2))⇣⩺⋵((⫖↰⪸3158∸)∕⩚(⫖↰⪸4004⊹≧⊝))=⫖↰⪸-584","reverse_text":"⫖↰⪸-584=(⫖↰⪸117A∲⫓⫖↰⪸A91)⨂≜(⫖↰⪸4247↳≱⫖↰⪸4746)⪶≀⋏(⫖↰⪸71A/⫖↰⪸1B30⨵⪆(∂⩏⊆⫖↰⪸B25))⊾⪯⋞(≑⋹(⫖↰⪸2477⨑⩅≇⫖↰⪸21A2))⇣⩺⋵((⫖↰⪸3158∸)∕⩚(⫖↰⪸4004⊹≧⊝))","cot":[{"info":"⫖↰⪸117A∲⫓⫖↰⪸A91=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4247↳≱⫖↰⪸4746=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⨂≜⫖↰⪸0=⫖↰⪸-122","layer":2},{"info":"⫖↰⪸71A/⫖↰⪸1B30=⫖↰⪸0","layer":3},{"info":"∂⩏⊆⫖↰⪸B25=⫖↰⪸-2A1A","layer":3},{"info":"⫖↰⪸0⨵⪆⫖↰⪸-2A1A=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-122⪶≀⋏⫖↰⪸114=⫖↰⪸8A8","layer":1},{"info":"⫖↰⪸2477⨑⩅≇⫖↰⪸21A2=⫖↰⪸-71A9","layer":3},{"info":"≑⋹⫖↰⪸-71A9=⫖↰⪸-53A","layer":2},{"info":"⫖↰⪸3158∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸4004⊹≧⊝=⫖↰⪸-14014","layer":3},{"info":"⫖↰⪸129∕⩚⫖↰⪸-14014=⫖↰⪸-347","layer":2},{"info":"⫖↰⪸-53A⇣⩺⋵⫖↰⪸-347=⫖↰⪸-1210","layer":1},{"info":"⫖↰⪸8A8⊾⪯⋞⫖↰⪸-1210=⫖↰⪸-584","layer":0}]}
{"id":58,"expression_no_base_symbol":"(⩷($1406$∑⇟⊟$1292$))↞⋁($4304$⨼⩣$6113$⫸⊐(≸$3341$))⪨≂(⋎⨆(⊙↵-$4159$⩦$1760$))","expression":"(⩷(⫖↰⪸992∑⇟⊟⫖↰⪸8B8))↞⋁(⫖↰⪸25A8⨼⩣⫖↰⪸3655⫸⊐(≸⫖↰⪸1B25))⪨≂(⋎⨆(⊙↵-⫖↰⪸24A7⩦⫖↰⪸1028))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9052,"operation_count":10,"complexity_ratio":905.2,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1406,"base":12},"right_expr":{"type":"numeric_atoms","value":1292,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4304,"base":12},"right_expr":{"type":"numeric_atoms","value":6113,"base":12}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3341,"base":12}}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4159,"base":12},"right_expr":{"type":"numeric_atoms","value":1760,"base":12}}}}},"used_operators":["sdazOOVcIp","RqrPlJkxDo","1h0rLqGiFr","U7g4x0WXJJ","mqXw5SEYmG","JxwMv5le6e","eOf03JbCpp","E64sFOc4tB","oWn0xqSxBt","0kmYd0q39Y"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1406","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=1292, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4304","layer":4},{"info":"number node, value=6113","layer":4},{"info":"compute binary expreesion, left_input=4304, right_input=6113, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3341","layer":4},{"info":"compute unary expreesion, input=3341, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=58, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=4159","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=1760, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8318","layer":3},{"info":"compute unary expreesion, input=8318, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = 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=nan, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩷(⫖↰⪸992∑⇟⊟⫖↰⪸8B8))↞⋁(⫖↰⪸25A8⨼⩣⫖↰⪸3655⫸⊐(≸⫖↰⪸1B25))⪨≂(⋎⨆(⊙↵-⫖↰⪸24A7⩦⫖↰⪸1028))=NaN","reverse_text":"NaN=(⩷(⫖↰⪸992∑⇟⊟⫖↰⪸8B8))↞⋁(⫖↰⪸25A8⨼⩣⫖↰⪸3655⫸⊐(≸⫖↰⪸1B25))⪨≂(⋎⨆(⊙↵-⫖↰⪸24A7⩦⫖↰⪸1028))","cot":[{"info":"⫖↰⪸992∑⇟⊟⫖↰⪸8B8=NaN","layer":3},{"info":"⩷NaN=NaN","layer":2},{"info":"⫖↰⪸25A8⨼⩣⫖↰⪸3655=NaN","layer":3},{"info":"≸⫖↰⪸1B25=⫖↰⪸4A","layer":3},{"info":"NaN⫸⊐⫖↰⪸4A=NaN","layer":2},{"info":"NaN↞⋁NaN=NaN","layer":1},{"info":"⫖↰⪸24A7⩦⫖↰⪸1028=⫖↰⪸4992","layer":3},{"info":"⊙↵-⫖↰⪸4992=⫖↰⪸-1","layer":2},{"info":"⋎⨆⫖↰⪸-1=⫖↰⪸0","layer":1},{"info":"NaN⪨≂⫖↰⪸0=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"(≘($5275$⩷∴$2381$⊭↱$4820$≎⊠⪸$1006$))∺≝⩲((⇵⪽$1700$)∇⊂⋱$2780$⫘$1264$/((⩒∊$4902$)⊚⫡⫭))","expression":"(≘(⫖↰⪸3077⩷∴⫖↰⪸1465⊭↱⫖↰⪸2958≎⊠⪸⫖↰⪸6BA))∺≝⩲((⇵⪽⫖↰⪸B98)∇⊂⋱⫖↰⪸1738⫘⫖↰⪸894/((⩒∊⫖↰⪸2A06)⊚⫡⫭))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3531,"operation_count":11,"complexity_ratio":321.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5275,"base":12},"right_expr":{"type":"numeric_atoms","value":2381,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4820,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1700,"base":12}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2780,"base":12},"right_expr":{"type":"numeric_atoms","value":1264,"base":12}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4902,"base":12}}}}},"used_operators":["KPf6cnQVty","tcjXMdvYtA","COABgblf1C","9FxExcQeMw","bJkvcejdHO","XhwjNDsVaA","nhYeJWJD5X","ZGCBLdVRRX","48vC8HMD2b","SpZWOsLKZJ","qazvmhNBbN"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","U7g4x0WXJJ","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5275","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=5275, right_input=2381, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5756","layer":3},{"info":"number node, value=4820","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4820, right_input=1006, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1247907","layer":3},{"info":"compute binary expreesion, left_input=5756, right_input=1247907, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2484307","layer":2},{"info":"compute unary expreesion, input=2484307, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":1},{"info":"number node, value=1700","layer":4},{"info":"compute unary expreesion, input=1700, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=2780","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1264, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3273685","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3273685, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=4902","layer":4},{"info":"compute unary expreesion, input=4902, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=9047","layer":3},{"info":"compute unary expreesion, input=9047, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-17168","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17168, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":12,"result_base":12,"text":"(≘(⫖↰⪸3077⩷∴⫖↰⪸1465⊭↱⫖↰⪸2958≎⊠⪸⫖↰⪸6BA))∺≝⩲((⇵⪽⫖↰⪸B98)∇⊂⋱⫖↰⪸1738⫘⫖↰⪸894/((⩒∊⫖↰⪸2A06)⊚⫡⫭))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(≘(⫖↰⪸3077⩷∴⫖↰⪸1465⊭↱⫖↰⪸2958≎⊠⪸⫖↰⪸6BA))∺≝⩲((⇵⪽⫖↰⪸B98)∇⊂⋱⫖↰⪸1738⫘⫖↰⪸894/((⩒∊⫖↰⪸2A06)⊚⫡⫭))","cot":[{"info":"⫖↰⪸3077⩷∴⫖↰⪸1465=⫖↰⪸33B8","layer":3},{"info":"⫖↰⪸2958≎⊠⪸⫖↰⪸6BA=⫖↰⪸502203","layer":3},{"info":"⫖↰⪸33B8⊭↱⫖↰⪸502203=⫖↰⪸9B9817","layer":2},{"info":"≘⫖↰⪸9B9817=NaN","layer":1},{"info":"⇵⪽⫖↰⪸B98=NaN","layer":3},{"info":"⫖↰⪸1738⫘⫖↰⪸894=⫖↰⪸111A5B1","layer":3},{"info":"NaN∇⊂⋱⫖↰⪸111A5B1=NaN","layer":2},{"info":"⩒∊⫖↰⪸2A06=⫖↰⪸529B","layer":3},{"info":"⫖↰⪸529B⊚⫡⫭=⫖↰⪸-9B28","layer":2},{"info":"NaN/⫖↰⪸-9B28=NaN","layer":1},{"info":"NaN∺≝⩲NaN=⫖↰⪸114","layer":0}]}
{"id":60,"expression_no_base_symbol":"≻⋜(($4542$⪝$2072$≥⨤⩑$1102$∇⊂⋱$6216$)∌($3743$⨜⨶$5210$≬⇓(⊊≼∋$2743$)))","expression":"≻⋜((⫖↰⪸2766⪝⫖↰⪸1248≥⨤⩑⫖↰⪸77A∇⊂⋱⫖↰⪸3720)∌(⫖↰⪸21BB⨜⨶⫖↰⪸3022≬⇓(⊊≼∋⫖↰⪸1707)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2068531614,"operation_count":8,"complexity_ratio":258566451.75,"tree":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4542,"base":12},"right_expr":{"type":"numeric_atoms","value":2072,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1102,"base":12},"right_expr":{"type":"numeric_atoms","value":6216,"base":12}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3743,"base":12},"right_expr":{"type":"numeric_atoms","value":5210,"base":12}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2743,"base":12}}}}},"used_operators":["3tj9sqzovi","8cLx32lpNA","gJLn6v0xnP","wicAB68Tmb","nhYeJWJD5X","jWTQ2TZYIH","HiPekx5b7W","FWz7pXsQhA"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4542","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=4542, right_input=2072, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-10279","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=6216","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=6216, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1658","layer":3},{"info":"compute binary expreesion, left_input=-10279, right_input=1658, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=3743","layer":4},{"info":"number node, value=5210","layer":4},{"info":"compute binary expreesion, left_input=3743, right_input=5210, 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=-10164","layer":3},{"info":"number node, value=2743","layer":4},{"info":"compute unary expreesion, input=2743, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-10164, right_input=-447, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=1034248406","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1034248406, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1034248406","layer":1},{"info":"compute unary expreesion, input=-1034248406, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≻⋜((⫖↰⪸2766⪝⫖↰⪸1248≥⨤⩑⫖↰⪸77A∇⊂⋱⫖↰⪸3720)∌(⫖↰⪸21BB⨜⨶⫖↰⪸3022≬⇓(⊊≼∋⫖↰⪸1707)))=NaN","reverse_text":"NaN=≻⋜((⫖↰⪸2766⪝⫖↰⪸1248≥⨤⩑⫖↰⪸77A∇⊂⋱⫖↰⪸3720)∌(⫖↰⪸21BB⨜⨶⫖↰⪸3022≬⇓(⊊≼∋⫖↰⪸1707)))","cot":[{"info":"⫖↰⪸2766⪝⫖↰⪸1248=⫖↰⪸-5B47","layer":3},{"info":"⫖↰⪸77A∇⊂⋱⫖↰⪸3720=⫖↰⪸B62","layer":3},{"info":"⫖↰⪸-5B47≥⨤⩑⫖↰⪸B62=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸21BB⨜⨶⫖↰⪸3022=⫖↰⪸-5A70","layer":3},{"info":"⊊≼∋⫖↰⪸1707=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-5A70≬⇓⫖↰⪸-313=⫖↰⪸24A44B472","layer":2},{"info":"⫖↰⪸86A∌⫖↰⪸24A44B472=⫖↰⪸-24A44B472","layer":1},{"info":"≻⋜⫖↰⪸-24A44B472=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"⊖∈(⊊≼∋$1024$)⩌⋺(⇜$1080$)⨭⪣($1566$↬⩅∪)→⨶⪴(↩$5037$)","expression":"⊖∈(⊊≼∋⫖↰⪸714)⩌⋺(⇜⫖↰⪸760)⨭⪣(⫖↰⪸AA6↬⩅∪)→⨶⪴(↩⫖↰⪸2AB9)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1495,"operation_count":8,"complexity_ratio":186.875,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1024,"base":12}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1080,"base":12}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1566,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5037,"base":12}}}}},"used_operators":["YFxL8Sc2Zy","kn8WO9XteQ","g7Hmc5v1ko","FWz7pXsQhA","lFBm8KRb8F","bF6eod5Gvf","VJ330n2nnx","jLgFTUHLKL"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","8w2t5hMYqp","9FxExcQeMw","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫖↰⪸76556","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-9048","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-9048, 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=9374","layer":2},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-4698","layer":3},{"info":"number node, value=5037","layer":4},{"info":"compute unary expreesion, input=5037, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-37516","layer":3},{"info":"compute binary expreesion, left_input=-4698, right_input=-37516, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=65604","layer":2},{"info":"compute binary expreesion, left_input=9374, right_input=65604, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=8095","layer":1},{"info":"compute unary expreesion, input=8095, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=156306","layer":0}],"base":12,"result_base":12,"text":"⊖∈(⊊≼∋⫖↰⪸714)⩌⋺(⇜⫖↰⪸760)⨭⪣(⫖↰⪸AA6↬⩅∪)→⨶⪴(↩⫖↰⪸2AB9)=⫖↰⪸76556","reverse_text":"⫖↰⪸76556=⊖∈(⊊≼∋⫖↰⪸714)⩌⋺(⇜⫖↰⪸760)⨭⪣(⫖↰⪸AA6↬⩅∪)→⨶⪴(↩⫖↰⪸2AB9)","cot":[{"info":"⊊≼∋⫖↰⪸714=⫖↰⪸-313","layer":3},{"info":"⇜⫖↰⪸760=⫖↰⪸-52A0","layer":3},{"info":"⫖↰⪸-313⩌⋺⫖↰⪸-52A0=⫖↰⪸5512","layer":2},{"info":"⫖↰⪸AA6↬⩅∪=⫖↰⪸-2876","layer":3},{"info":"↩⫖↰⪸2AB9=⫖↰⪸-19864","layer":3},{"info":"⫖↰⪸-2876→⨶⪴⫖↰⪸-19864=⫖↰⪸31B70","layer":2},{"info":"⫖↰⪸5512⨭⪣⫖↰⪸31B70=⫖↰⪸4827","layer":1},{"info":"⊖∈⫖↰⪸4827=⫖↰⪸76556","layer":0}]}
{"id":62,"expression_no_base_symbol":"($6970$⪛$4481$⊋≦⊧$3794$⊝⪿⪼$1598$)⩷∴$6478$⪍↜⋙$3769$≒∊$3281$↳∿⪆$5375$⫸⊐(↸⊣($2995$⊢))∀⇚≩((⋼∭⪍$3319$)⋝⋈⪟($6245$⇚⪠))","expression":"(⫖↰⪸404A⪛⫖↰⪸2715⊋≦⊧⫖↰⪸2242⊝⪿⪼⫖↰⪸B12)⩷∴⫖↰⪸38BA⪍↜⋙⫖↰⪸2221≒∊⫖↰⪸1A95↳∿⪆⫖↰⪸313B⫸⊐(↸⊣(⫖↰⪸1897⊢))∀⇚≩((⋼∭⪍⫖↰⪸1B07)⋝⋈⪟(⫖↰⪸3745⇚⪠))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54229,"operation_count":14,"complexity_ratio":3873.5,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6970,"base":12},"right_expr":{"type":"numeric_atoms","value":4481,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3794,"base":12},"right_expr":{"type":"numeric_atoms","value":1598,"base":12}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6478,"base":12},"right_expr":{"type":"numeric_atoms","value":3769,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3281,"base":12},"right_expr":{"type":"numeric_atoms","value":5375,"base":12}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2995,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3319,"base":12}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":6245,"base":12}}}}},"used_operators":["mqXw5SEYmG","9FxExcQeMw","oRDoc9rAEX","uFcxV4UQCh","3Oe9XWJUTD","5KTvxBwnZo","L05ObWFQCd","Cw4SuJJGHO","LRNGc0VcxI","wztAlM01eG","40aOVDgCDB","2DDjHMKMc0","DbCuESL50I","Loh9y4A90B"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","X99M06cbEe","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6970","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=6970, right_input=4481, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2489","layer":3},{"info":"number node, value=3794","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=1598, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=55970","layer":3},{"info":"compute binary expreesion, left_input=2489, right_input=55970, 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=-58219","layer":2},{"info":"number node, value=6478","layer":4},{"info":"number node, value=3769","layer":4},{"info":"compute binary expreesion, left_input=6478, right_input=3769, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5418","layer":3},{"info":"number node, value=3281","layer":4},{"info":"number node, value=5375","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=5375, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5418, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-58219, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2995","layer":4},{"info":"compute unary expreesion, input=2995, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3242","layer":3},{"info":"compute unary expreesion, input=-3242, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=6484","layer":2},{"info":"number node, value=3319","layer":4},{"info":"compute unary expreesion, input=3319, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-11536","layer":3},{"info":"number node, value=6245","layer":4},{"info":"compute unary expreesion, input=6245, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=78000050","layer":3},{"info":"compute binary expreesion, left_input=-11536, right_input=78000050, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-11536","layer":2},{"info":"compute binary expreesion, left_input=6484, right_input=-11536, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸404A⪛⫖↰⪸2715⊋≦⊧⫖↰⪸2242⊝⪿⪼⫖↰⪸B12)⩷∴⫖↰⪸38BA⪍↜⋙⫖↰⪸2221≒∊⫖↰⪸1A95↳∿⪆⫖↰⪸313B⫸⊐(↸⊣(⫖↰⪸1897⊢))∀⇚≩((⋼∭⪍⫖↰⪸1B07)⋝⋈⪟(⫖↰⪸3745⇚⪠))=NaN","reverse_text":"NaN=(⫖↰⪸404A⪛⫖↰⪸2715⊋≦⊧⫖↰⪸2242⊝⪿⪼⫖↰⪸B12)⩷∴⫖↰⪸38BA⪍↜⋙⫖↰⪸2221≒∊⫖↰⪸1A95↳∿⪆⫖↰⪸313B⫸⊐(↸⊣(⫖↰⪸1897⊢))∀⇚≩((⋼∭⪍⫖↰⪸1B07)⋝⋈⪟(⫖↰⪸3745⇚⪠))","cot":[{"info":"⫖↰⪸404A⪛⫖↰⪸2715=⫖↰⪸1535","layer":3},{"info":"⫖↰⪸2242⊝⪿⪼⫖↰⪸B12=⫖↰⪸28482","layer":3},{"info":"⫖↰⪸1535⊋≦⊧⫖↰⪸28482=⫖↰⪸-29837","layer":2},{"info":"⫖↰⪸38BA⪍↜⋙⫖↰⪸2221=⫖↰⪸3176","layer":3},{"info":"⫖↰⪸1A95↳∿⪆⫖↰⪸313B=NaN","layer":3},{"info":"⫖↰⪸3176≒∊NaN=NaN","layer":2},{"info":"⫖↰⪸-29837⩷∴NaN=NaN","layer":1},{"info":"⫖↰⪸1897⊢=⫖↰⪸-1A62","layer":3},{"info":"↸⊣⫖↰⪸-1A62=⫖↰⪸3904","layer":2},{"info":"⋼∭⪍⫖↰⪸1B07=⫖↰⪸-6814","layer":3},{"info":"⫖↰⪸3745⇚⪠=⫖↰⪸22156B02","layer":3},{"info":"⫖↰⪸-6814⋝⋈⪟⫖↰⪸22156B02=⫖↰⪸-6814","layer":2},{"info":"⫖↰⪸3904∀⇚≩⫖↰⪸-6814=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"(($6445$⊹∫⫚$4823$)∺≝⩲($1777$⊉≛↸$5032$)≑≱⪘)≁↽≥(∤(⫯($4410$⪎↠$1758$)))","expression":"((⫖↰⪸3891⊹∫⫚⫖↰⪸295B)∺≝⩲(⫖↰⪸1041⊉≛↸⫖↰⪸2AB4)≑≱⪘)≁↽≥(∤(⫯(⫖↰⪸2676⪎↠⫖↰⪸1026)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":551,"operation_count":8,"complexity_ratio":68.875,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6445,"base":12},"right_expr":{"type":"numeric_atoms","value":4823,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1777,"base":12},"right_expr":{"type":"numeric_atoms","value":5032,"base":12}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4410,"base":12},"right_expr":{"type":"numeric_atoms","value":1758,"base":12}}}}},"used_operators":["ncHt1X6cMc","tGSeddj7UK","KPf6cnQVty","uWAJUKEvyW","DZ8iAZOCBD","k2HlF1dBQh","H6BK1Evt7c","3tVxb0NHM4"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6445","layer":4},{"info":"number node, value=4823","layer":4},{"info":"compute binary expreesion, left_input=6445, right_input=4823, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-112","layer":3},{"info":"number node, value=1777","layer":4},{"info":"number node, value=5032","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=5032, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3554","layer":3},{"info":"compute binary expreesion, left_input=-112, right_input=3554, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=-368958","layer":1},{"info":"number node, value=4410","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=4410, right_input=1758, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=9792","layer":2},{"info":"compute unary expreesion, input=9792, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-368958, right_input=9, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3891⊹∫⫚⫖↰⪸295B)∺≝⩲(⫖↰⪸1041⊉≛↸⫖↰⪸2AB4)≑≱⪘)≁↽≥(∤(⫯(⫖↰⪸2676⪎↠⫖↰⪸1026)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸3891⊹∫⫚⫖↰⪸295B)∺≝⩲(⫖↰⪸1041⊉≛↸⫖↰⪸2AB4)≑≱⪘)≁↽≥(∤(⫯(⫖↰⪸2676⪎↠⫖↰⪸1026)))","cot":[{"info":"⫖↰⪸3891⊹∫⫚⫖↰⪸295B=⫖↰⪸-94","layer":3},{"info":"⫖↰⪸1041⊉≛↸⫖↰⪸2AB4=⫖↰⪸2082","layer":3},{"info":"⫖↰⪸-94∺≝⩲⫖↰⪸2082=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114≑≱⪘=⫖↰⪸-159626","layer":1},{"info":"⫖↰⪸2676⪎↠⫖↰⪸1026=⫖↰⪸114","layer":3},{"info":"⫯⫖↰⪸114=⫖↰⪸5800","layer":2},{"info":"∤⫖↰⪸5800=⫖↰⪸9","layer":1},{"info":"⫖↰⪸-159626≁↽≥⫖↰⪸9=⫖↰⪸0","layer":0}]}
{"id":64,"expression_no_base_symbol":"(($3126$⨭⪣$5992$⪒$1796$≬⇓$1942$)⨘⋶⪀)∪⫐(($1248$⪍↜⋙$2986$)⨿($1164$∥⊢⊲$7150$)⩘)","expression":"((⫖↰⪸1986⨭⪣⫖↰⪸3574⪒⫖↰⪸1058≬⇓⫖↰⪸115A)⨘⋶⪀)∪⫐((⫖↰⪸880⪍↜⋙⫖↰⪸188A)⨿(⫖↰⪸810∥⊢⊲⫖↰⪸417A)⩘)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39567,"operation_count":9,"complexity_ratio":4396.333333333333,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3126,"base":12},"right_expr":{"type":"numeric_atoms","value":5992,"base":12}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1796,"base":12},"right_expr":{"type":"numeric_atoms","value":1942,"base":12}}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1248,"base":12},"right_expr":{"type":"numeric_atoms","value":2986,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1164,"base":12},"right_expr":{"type":"numeric_atoms","value":7150,"base":12}}}}},"used_operators":["7YooWSwCyH","XVKwrhznBb","f6k1SAg4EE","kn8WO9XteQ","jWTQ2TZYIH","wvHyciQT5X","abYXlopdE0","L05ObWFQCd","v1UQAVDJRr"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9ICcGScMcE","dfKe02y8D2","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3126","layer":4},{"info":"number node, value=5992","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=5992, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1847","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=1942, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1847, right_input=-22, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1825","layer":2},{"info":"compute unary expreesion, input=-1825, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"number node, value=1248","layer":4},{"info":"number node, value=2986","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=2986, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-12995","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=7150","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=7150, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12995, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1986⨭⪣⫖↰⪸3574⪒⫖↰⪸1058≬⇓⫖↰⪸115A)⨘⋶⪀)∪⫐((⫖↰⪸880⪍↜⋙⫖↰⪸188A)⨿(⫖↰⪸810∥⊢⊲⫖↰⪸417A)⩘)=NaN","reverse_text":"NaN=((⫖↰⪸1986⨭⪣⫖↰⪸3574⪒⫖↰⪸1058≬⇓⫖↰⪸115A)⨘⋶⪀)∪⫐((⫖↰⪸880⪍↜⋙⫖↰⪸188A)⨿(⫖↰⪸810∥⊢⊲⫖↰⪸417A)⩘)","cot":[{"info":"⫖↰⪸1986⨭⪣⫖↰⪸3574=⫖↰⪸109B","layer":3},{"info":"⫖↰⪸1058≬⇓⫖↰⪸115A=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸109B⪒⫖↰⪸-1A=⫖↰⪸-1081","layer":2},{"info":"⫖↰⪸-1081⨘⋶⪀=NaN","layer":1},{"info":"⫖↰⪸880⪍↜⋙⫖↰⪸188A=⫖↰⪸-762B","layer":3},{"info":"⫖↰⪸810∥⊢⊲⫖↰⪸417A=NaN","layer":3},{"info":"⫖↰⪸-762B⨿NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57⩘=⫖↰⪸57","layer":1},{"info":"NaN∪⫐⫖↰⪸57=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"((($5047$⊭↱$3368$)⊋≦⊧$1954$⩁⩘$3452$)↑)∙⊟(($3879$↱$3318$)⪥(⨩∲⋌$2069$)↸(($5491$⫠↝⫳)⊭↱$1852$⪚$3148$))","expression":"(((⫖↰⪸2B07⊭↱⫖↰⪸1B48)⊋≦⊧⫖↰⪸116A⩁⩘⫖↰⪸1BB8)↑)∙⊟((⫖↰⪸22B3↱⫖↰⪸1B06)⪥(⨩∲⋌⫖↰⪸1245)↸((⫖↰⪸3217⫠↝⫳)⊭↱⫖↰⪸10A4⪚⫖↰⪸19A4))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2250,"operation_count":12,"complexity_ratio":187.5,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5047,"base":12},"right_expr":{"type":"numeric_atoms","value":3368,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1954,"base":12},"right_expr":{"type":"numeric_atoms","value":3452,"base":12}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3879,"base":12},"right_expr":{"type":"numeric_atoms","value":3318,"base":12}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2069,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":5491,"base":12}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":3148,"base":12}}}}},"used_operators":["SxTAKzQCrw","BThhyOhh10","oRDoc9rAEX","COABgblf1C","gub5Cegaqo","1eCjFl0mb9","QbnwKVWMIQ","SR5kFfdi6N","aSik1wnThz","8n5YIzOsVS","HrjLwUk87U"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"⫖↰⪸B287","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5047","layer":4},{"info":"number node, value=3368","layer":4},{"info":"compute binary expreesion, left_input=5047, right_input=3368, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3353","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=3452, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14756","layer":3},{"info":"compute binary expreesion, left_input=-3353, right_input=14756, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"number node, value=3879","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=3879, right_input=3318, 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=-9432","layer":3},{"info":"number node, value=2069","layer":4},{"info":"compute unary expreesion, input=2069, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2592","layer":3},{"info":"compute binary expreesion, left_input=-9432, right_input=-2592, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"number node, value=5491","layer":4},{"info":"compute unary expreesion, input=5491, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=176335","layer":3},{"info":"number node, value=1852","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=3148, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2948","layer":3},{"info":"compute binary expreesion, left_input=176335, right_input=-2948, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-358561","layer":2},{"info":"compute binary expreesion, left_input=-1798, right_input=-358561, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-1798","layer":1},{"info":"compute binary expreesion, left_input=222, right_input=-1798, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=19399","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2B07⊭↱⫖↰⪸1B48)⊋≦⊧⫖↰⪸116A⩁⩘⫖↰⪸1BB8)↑)∙⊟((⫖↰⪸22B3↱⫖↰⪸1B06)⪥(⨩∲⋌⫖↰⪸1245)↸((⫖↰⪸3217⫠↝⫳)⊭↱⫖↰⪸10A4⪚⫖↰⪸19A4))=⫖↰⪸B287","reverse_text":"⫖↰⪸B287=(((⫖↰⪸2B07⊭↱⫖↰⪸1B48)⊋≦⊧⫖↰⪸116A⩁⩘⫖↰⪸1BB8)↑)∙⊟((⫖↰⪸22B3↱⫖↰⪸1B06)⪥(⨩∲⋌⫖↰⪸1245)↸((⫖↰⪸3217⫠↝⫳)⊭↱⫖↰⪸10A4⪚⫖↰⪸19A4))","cot":[{"info":"⫖↰⪸2B07⊭↱⫖↰⪸1B48=⫖↰⪸-1B35","layer":3},{"info":"⫖↰⪸116A⩁⩘⫖↰⪸1BB8=⫖↰⪸8658","layer":3},{"info":"⫖↰⪸-1B35⊋≦⊧⫖↰⪸8658=⫖↰⪸140","layer":2},{"info":"⫖↰⪸140↑=⫖↰⪸166","layer":1},{"info":"⫖↰⪸22B3↱⫖↰⪸1B06=⫖↰⪸-5560","layer":3},{"info":"⨩∲⋌⫖↰⪸1245=⫖↰⪸-1600","layer":3},{"info":"⫖↰⪸-5560⪥⫖↰⪸-1600=⫖↰⪸-105A","layer":2},{"info":"⫖↰⪸3217⫠↝⫳=⫖↰⪸86067","layer":3},{"info":"⫖↰⪸10A4⪚⫖↰⪸19A4=⫖↰⪸-1858","layer":3},{"info":"⫖↰⪸86067⊭↱⫖↰⪸-1858=⫖↰⪸-153601","layer":2},{"info":"⫖↰⪸-105A↸⫖↰⪸-153601=⫖↰⪸-105A","layer":1},{"info":"⫖↰⪸166∙⊟⫖↰⪸-105A=⫖↰⪸B287","layer":0}]}
{"id":66,"expression_no_base_symbol":"∂⩏⊆(⇐(≸$2236$))≀⩗∶($2148$⊫∞)⇌⫙⪟$4120$≝⊿$2525$","expression":"∂⩏⊆(⇐(≸⫖↰⪸1364))≀⩗∶(⫖↰⪸12B0⊫∞)⇌⫙⪟⫖↰⪸2474≝⊿⫖↰⪸1565","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23344,"operation_count":7,"complexity_ratio":3334.8571428571427,"tree":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2236,"base":12}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":2148,"base":12}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4120,"base":12},"right_expr":{"type":"numeric_atoms","value":2525,"base":12}}}}},"used_operators":["8WDwsbhb0R","8INZBEW696","nmZMaaE0Q9","eOf03JbCpp","AFVx7xoS7T","pABnYW3G3E","OKKcZfAt5B"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","12rbrZMWeM"],"result":"⫖↰⪸-3A4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2236","layer":4},{"info":"compute unary expreesion, input=2236, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-928","layer":2},{"info":"number node, value=2148","layer":4},{"info":"compute unary expreesion, input=2148, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=4120","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=4120, right_input=2525, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9703","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9703, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=48551","layer":2},{"info":"compute binary expreesion, left_input=-928, right_input=48551, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=159","layer":1},{"info":"compute unary expreesion, input=159, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-556","layer":0}],"base":12,"result_base":12,"text":"∂⩏⊆(⇐(≸⫖↰⪸1364))≀⩗∶(⫖↰⪸12B0⊫∞)⇌⫙⪟⫖↰⪸2474≝⊿⫖↰⪸1565=⫖↰⪸-3A4","reverse_text":"⫖↰⪸-3A4=∂⩏⊆(⇐(≸⫖↰⪸1364))≀⩗∶(⫖↰⪸12B0⊫∞)⇌⫙⪟⫖↰⪸2474≝⊿⫖↰⪸1565","cot":[{"info":"≸⫖↰⪸1364=⫖↰⪸4A","layer":3},{"info":"⇐⫖↰⪸4A=⫖↰⪸-654","layer":2},{"info":"⫖↰⪸12B0⊫∞=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2474≝⊿⫖↰⪸1565=⫖↰⪸-5747","layer":3},{"info":"⫖↰⪸0⇌⫙⪟⫖↰⪸-5747=⫖↰⪸2411B","layer":2},{"info":"⫖↰⪸-654≀⩗∶⫖↰⪸2411B=⫖↰⪸113","layer":1},{"info":"∂⩏⊆⫖↰⪸113=⫖↰⪸-3A4","layer":0}]}
{"id":67,"expression_no_base_symbol":"(($7635$⋥≓≎$4821$∕⩚$2452$⪒⊣⊆$1434$)⨑≵⋬(($2599$⩹$3667$)⪒$5762$⩚⊴⇥$2379$))≹⇙⪍(⪲⇎$3351$⨔⇊$2118$⋛$1245$⨂≜$6196$)","expression":"((⫖↰⪸4503⋥≓≎⫖↰⪸2959∕⩚⫖↰⪸1504⪒⊣⊆⫖↰⪸9B6)⨑≵⋬((⫖↰⪸1607⩹⫖↰⪸2157)⪒⫖↰⪸3402⩚⊴⇥⫖↰⪸1463))≹⇙⪍(⪲⇎⫖↰⪸1B33⨔⇊⫖↰⪸1286⋛⫖↰⪸879⨂≜⫖↰⪸3704)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3437,"operation_count":12,"complexity_ratio":286.4166666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7635,"base":12},"right_expr":{"type":"numeric_atoms","value":4821,"base":12}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2452,"base":12},"right_expr":{"type":"numeric_atoms","value":1434,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2599,"base":12},"right_expr":{"type":"numeric_atoms","value":3667,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5762,"base":12},"right_expr":{"type":"numeric_atoms","value":2379,"base":12}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3351,"base":12},"right_expr":{"type":"numeric_atoms","value":2118,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1245,"base":12},"right_expr":{"type":"numeric_atoms","value":6196,"base":12}}}}},"used_operators":["AHs5Up7iyr","XnXgA4xnOs","z9ffQ9n5Zr","Qy55tPpLXF","eRqsBgTDFp","f6k1SAg4EE","2Wsdkap16l","NTOWxs364D","XPYlsWDdGa","YbUVn0Rbpy","JclMnS0uGI","k1SHOSEABc"],"dependent_operators":["dWAJyo7jo9","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7635","layer":4},{"info":"number node, value=4821","layer":4},{"info":"compute binary expreesion, left_input=7635, right_input=4821, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2040","layer":3},{"info":"number node, value=2452","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=1434, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4904","layer":3},{"info":"compute binary expreesion, left_input=2040, right_input=4904, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2043","layer":2},{"info":"number node, value=2599","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=3667, 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=3665","layer":3},{"info":"number node, value=5762","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=5762, right_input=2379, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8262","layer":3},{"info":"compute binary expreesion, left_input=3665, right_input=-8262, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4597","layer":2},{"info":"compute binary expreesion, left_input=-2043, right_input=4597, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-41015","layer":1},{"info":"number node, value=3351","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=2118, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2118","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=6196","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=6196, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2118, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-41015, 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":12,"result_base":12,"text":"((⫖↰⪸4503⋥≓≎⫖↰⪸2959∕⩚⫖↰⪸1504⪒⊣⊆⫖↰⪸9B6)⨑≵⋬((⫖↰⪸1607⩹⫖↰⪸2157)⪒⫖↰⪸3402⩚⊴⇥⫖↰⪸1463))≹⇙⪍(⪲⇎⫖↰⪸1B33⨔⇊⫖↰⪸1286⋛⫖↰⪸879⨂≜⫖↰⪸3704)=NaN","reverse_text":"NaN=((⫖↰⪸4503⋥≓≎⫖↰⪸2959∕⩚⫖↰⪸1504⪒⊣⊆⫖↰⪸9B6)⨑≵⋬((⫖↰⪸1607⩹⫖↰⪸2157)⪒⫖↰⪸3402⩚⊴⇥⫖↰⪸1463))≹⇙⪍(⪲⇎⫖↰⪸1B33⨔⇊⫖↰⪸1286⋛⫖↰⪸879⨂≜⫖↰⪸3704)","cot":[{"info":"⫖↰⪸4503⋥≓≎⫖↰⪸2959=⫖↰⪸1220","layer":3},{"info":"⫖↰⪸1504⪒⊣⊆⫖↰⪸9B6=⫖↰⪸2A08","layer":3},{"info":"⫖↰⪸1220∕⩚⫖↰⪸2A08=⫖↰⪸-1223","layer":2},{"info":"⫖↰⪸1607⩹⫖↰⪸2157=⫖↰⪸2155","layer":3},{"info":"⫖↰⪸3402⩚⊴⇥⫖↰⪸1463=⫖↰⪸-4946","layer":3},{"info":"⫖↰⪸2155⪒⫖↰⪸-4946=⫖↰⪸27B1","layer":2},{"info":"⫖↰⪸-1223⨑≵⋬⫖↰⪸27B1=⫖↰⪸-1B89B","layer":1},{"info":"⫖↰⪸1B33⨔⇊⫖↰⪸1286=⫖↰⪸1286","layer":3},{"info":"⫖↰⪸879⨂≜⫖↰⪸3704=NaN","layer":3},{"info":"⫖↰⪸1286⋛NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⫖↰⪸-1B89B≹⇙⪍NaN=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"((∓⪦$2461$)⩨$7486$⊋$1953$⫚↹⊑(⊁⨺$3214$)⊬⨰($4400$⩍⋽⫝̸$8098$))→⨶⪴($3505$⪭$2904$)⫞⩸⩒(⨑⩽⪐$2128$)⨼⩣(⊙↵-($5100$⨵⪆$2612$))","expression":"((∓⪦⫖↰⪸1511)⩨⫖↰⪸43BA⊋⫖↰⪸1169⫚↹⊑(⊁⨺⫖↰⪸1A3A)⊬⨰(⫖↰⪸2668⩍⋽⫝̸⫖↰⪸482A))→⨶⪴(⫖↰⪸2041⪭⫖↰⪸1820)⫞⩸⩒(⨑⩽⪐⫖↰⪸1294)⨼⩣(⊙↵-(⫖↰⪸2B50⨵⪆⫖↰⪸1618))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48792,"operation_count":14,"complexity_ratio":3485.1428571428573,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2461,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7486,"base":12},"right_expr":{"type":"numeric_atoms","value":1953,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":3214,"base":12}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4400,"base":12},"right_expr":{"type":"numeric_atoms","value":8098,"base":12}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3505,"base":12},"right_expr":{"type":"numeric_atoms","value":2904,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2128,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5100,"base":12},"right_expr":{"type":"numeric_atoms","value":2612,"base":12}}}}},"used_operators":["bF6eod5Gvf","dfKe02y8D2","2DlMacCsIx","D309nIvmXG","W4tP9CfskL","s3Fd5m9Dh2","PxiHyQbrIp","BiWNJpBvwn","JxwMv5le6e","XGcMNugi78","j9kHMeSvPp","AF7qkfDlqP","oWn0xqSxBt","2DQ55sFlQl"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2461","layer":4},{"info":"compute unary expreesion, input=2461, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2053","layer":3},{"info":"number node, value=7486","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=7486, right_input=1953, 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=83468560","layer":3},{"info":"compute binary expreesion, left_input=2053, right_input=83468560, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-121968","layer":2},{"info":"number node, value=3214","layer":4},{"info":"compute unary expreesion, input=3214, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=4400","layer":4},{"info":"number node, value=8098","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=8098, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7152","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7152, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=28928","layer":2},{"info":"compute binary expreesion, left_input=-121968, right_input=28928, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=3505","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=2904, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1855","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-1855, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5","layer":2},{"info":"number node, value=5100","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=5100, right_input=2612, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∓⪦⫖↰⪸1511)⩨⫖↰⪸43BA⊋⫖↰⪸1169⫚↹⊑(⊁⨺⫖↰⪸1A3A)⊬⨰(⫖↰⪸2668⩍⋽⫝̸⫖↰⪸482A))→⨶⪴(⫖↰⪸2041⪭⫖↰⪸1820)⫞⩸⩒(⨑⩽⪐⫖↰⪸1294)⨼⩣(⊙↵-(⫖↰⪸2B50⨵⪆⫖↰⪸1618))=NaN","reverse_text":"NaN=((∓⪦⫖↰⪸1511)⩨⫖↰⪸43BA⊋⫖↰⪸1169⫚↹⊑(⊁⨺⫖↰⪸1A3A)⊬⨰(⫖↰⪸2668⩍⋽⫝̸⫖↰⪸482A))→⨶⪴(⫖↰⪸2041⪭⫖↰⪸1820)⫞⩸⩒(⨑⩽⪐⫖↰⪸1294)⨼⩣(⊙↵-(⫖↰⪸2B50⨵⪆⫖↰⪸1618))","cot":[{"info":"∓⪦⫖↰⪸1511=⫖↰⪸1231","layer":3},{"info":"⫖↰⪸43BA⊋⫖↰⪸1169=⫖↰⪸23B53694","layer":3},{"info":"⫖↰⪸1231⩨⫖↰⪸23B53694=⫖↰⪸-5A700","layer":2},{"info":"⊁⨺⫖↰⪸1A3A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2668⩍⋽⫝̸⫖↰⪸482A=⫖↰⪸4180","layer":3},{"info":"⫖↰⪸114⊬⨰⫖↰⪸4180=⫖↰⪸148A8","layer":2},{"info":"⫖↰⪸-5A700⫚↹⊑⫖↰⪸148A8=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸2041⪭⫖↰⪸1820=⫖↰⪸5","layer":3},{"info":"⨑⩽⪐⫖↰⪸1294=⫖↰⪸-10A7","layer":3},{"info":"⫖↰⪸5⫞⩸⩒⫖↰⪸-10A7=⫖↰⪸5","layer":2},{"info":"⫖↰⪸2B50⨵⪆⫖↰⪸1618=⫖↰⪸114","layer":3},{"info":"⊙↵-⫖↰⪸114=⫖↰⪸0","layer":2},{"info":"⫖↰⪸5⨼⩣⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸-313→⨶⪴NaN=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"(⩒∊$1158$∺≝⩲$1884$)⋳⪒$3462$⊱⇼⊻$9516$⪪(⇁⨣⪵$3097$)⪄((∨∊⋏$2662$)⋅⇍$1465$⩒⫫$4141$)↳∿⪆((⇜⊴$8306$)⪁(↪⫪⫘$6979$))","expression":"(⩒∊⫖↰⪸806∺≝⩲⫖↰⪸1110)⋳⪒⫖↰⪸2006⊱⇼⊻⫖↰⪸5610⪪(⇁⨣⪵⫖↰⪸1961)⪄((∨∊⋏⫖↰⪸165A)⋅⇍⫖↰⪸A21⩒⫫⫖↰⪸2491)↳∿⪆((⇜⊴⫖↰⪸4982)⪁(↪⫪⫘⫖↰⪸4057))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4447,"operation_count":14,"complexity_ratio":317.64285714285717,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1158,"base":12},"right_expr":{"type":"numeric_atoms","value":1884,"base":12}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3462,"base":12},"right_expr":{"type":"numeric_atoms","value":9516,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3097,"base":12}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2662,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1465,"base":12},"right_expr":{"type":"numeric_atoms","value":4141,"base":12}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":8306,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":6979,"base":12}}}}},"used_operators":["SUmda5xLS4","12rbrZMWeM","qazvmhNBbN","KPf6cnQVty","xD69zh8xqp","FyVja0WsTP","inkyxCbjAn","Cw4SuJJGHO","AdZkA7nFnk","R5aXW34M0v","KFSx94NKJn","I7sXao9hZE","XwDhCwWbUn","9dWsAM3GFt"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","B5M0gjZbta","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1884, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-437","layer":2},{"info":"number node, value=3462","layer":4},{"info":"number node, value=9516","layer":4},{"info":"compute binary expreesion, left_input=3462, right_input=9516, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3097","layer":4},{"info":"compute unary expreesion, input=3097, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-61623","layer":2},{"info":"compute binary expreesion, left_input=-437, right_input=-61623, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=60462","layer":1},{"info":"number node, value=2662","layer":4},{"info":"compute unary expreesion, input=2662, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=50687","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=4141","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=4141, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1163","layer":3},{"info":"compute binary expreesion, left_input=50687, right_input=1163, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=8306","layer":4},{"info":"compute unary expreesion, input=8306, 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=-1946502","layer":3},{"info":"number node, value=6979","layer":4},{"info":"compute unary expreesion, input=6979, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-1946502, right_input=20, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=60462, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩒∊⫖↰⪸806∺≝⩲⫖↰⪸1110)⋳⪒⫖↰⪸2006⊱⇼⊻⫖↰⪸5610⪪(⇁⨣⪵⫖↰⪸1961)⪄((∨∊⋏⫖↰⪸165A)⋅⇍⫖↰⪸A21⩒⫫⫖↰⪸2491)↳∿⪆((⇜⊴⫖↰⪸4982)⪁(↪⫪⫘⫖↰⪸4057))=NaN","reverse_text":"NaN=(⩒∊⫖↰⪸806∺≝⩲⫖↰⪸1110)⋳⪒⫖↰⪸2006⊱⇼⊻⫖↰⪸5610⪪(⇁⨣⪵⫖↰⪸1961)⪄((∨∊⋏⫖↰⪸165A)⋅⇍⫖↰⪸A21⩒⫫⫖↰⪸2491)↳∿⪆((⇜⊴⫖↰⪸4982)⪁(↪⫪⫘⫖↰⪸4057))","cot":[{"info":"⫖↰⪸806∺≝⩲⫖↰⪸1110=⫖↰⪸114","layer":3},{"info":"⩒∊⫖↰⪸114=⫖↰⪸-305","layer":2},{"info":"⫖↰⪸2006⊱⇼⊻⫖↰⪸5610=⫖↰⪸302","layer":3},{"info":"⇁⨣⪵⫖↰⪸1961=NaN","layer":3},{"info":"⫖↰⪸302⪪NaN=⫖↰⪸-2B7B3","layer":2},{"info":"⫖↰⪸-305⋳⪒⫖↰⪸-2B7B3=⫖↰⪸2ABA6","layer":1},{"info":"∨∊⋏⫖↰⪸165A=⫖↰⪸253BB","layer":3},{"info":"⫖↰⪸A21⩒⫫⫖↰⪸2491=⫖↰⪸80B","layer":3},{"info":"⫖↰⪸253BB⋅⇍⫖↰⪸80B=⫖↰⪸-1A","layer":2},{"info":"⇜⊴⫖↰⪸4982=⫖↰⪸-79A546","layer":3},{"info":"↪⫪⫘⫖↰⪸4057=⫖↰⪸18","layer":3},{"info":"⫖↰⪸-79A546⪁⫖↰⪸18=NaN","layer":2},{"info":"⫖↰⪸-1A↳∿⪆NaN=NaN","layer":1},{"info":"⫖↰⪸2ABA6⪄NaN=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"((⨞⊢$3391$)⨔⇊(≸≮$2372$)⩒⫫(($8426$∙⊟$1038$)⪛⫼$6229$≁↽≥$2975$))≌(($2864$⩘$5217$⊭∹↮)⫑%∭)","expression":"((⨞⊢⫖↰⪸1B67)⨔⇊(≸≮⫖↰⪸1458)⩒⫫((⫖↰⪸4A62∙⊟⫖↰⪸726)⪛⫼⫖↰⪸3731≁↽≥⫖↰⪸187B))≌((⫖↰⪸17A8⩘⫖↰⪸3029⊭∹↮)⫑%∭)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21662,"operation_count":11,"complexity_ratio":1969.2727272727273,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3391,"base":12}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2372,"base":12}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":8426,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6229,"base":12},"right_expr":{"type":"numeric_atoms","value":2975,"base":12}}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2864,"base":12},"right_expr":{"type":"numeric_atoms","value":5217,"base":12}}}}},"used_operators":["lyWz822IDG","KFSx94NKJn","JclMnS0uGI","xUOZtlo3hN","AljMvE3RRm","hyuBjUqXlG","SxTAKzQCrw","ncHt1X6cMc","xUx7qlDO4z","xNBdhnnwKq","cHh1gJQ2o6"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","oWn0xqSxBt","3Oe9XWJUTD","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3391","layer":4},{"info":"compute unary expreesion, input=3391, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3565","layer":3},{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3565, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"number node, value=8426","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=8426, right_input=1038, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=119384","layer":3},{"info":"number node, value=6229","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=6229, right_input=2975, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=84871","layer":3},{"info":"compute binary expreesion, left_input=119384, right_input=84871, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=2864","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=2864, right_input=5217, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨞⊢⫖↰⪸1B67)⨔⇊(≸≮⫖↰⪸1458)⩒⫫((⫖↰⪸4A62∙⊟⫖↰⪸726)⪛⫼⫖↰⪸3731≁↽≥⫖↰⪸187B))≌((⫖↰⪸17A8⩘⫖↰⪸3029⊭∹↮)⫑%∭)=NaN","reverse_text":"NaN=((⨞⊢⫖↰⪸1B67)⨔⇊(≸≮⫖↰⪸1458)⩒⫫((⫖↰⪸4A62∙⊟⫖↰⪸726)⪛⫼⫖↰⪸3731≁↽≥⫖↰⪸187B))≌((⫖↰⪸17A8⩘⫖↰⪸3029⊭∹↮)⫑%∭)","cot":[{"info":"⨞⊢⫖↰⪸1B67=⫖↰⪸-2091","layer":3},{"info":"≸≮⫖↰⪸1458=NaN","layer":3},{"info":"⫖↰⪸-2091⨔⇊NaN=NaN","layer":2},{"info":"⫖↰⪸4A62∙⊟⫖↰⪸726=⫖↰⪸59108","layer":3},{"info":"⫖↰⪸3731≁↽≥⫖↰⪸187B=⫖↰⪸41147","layer":3},{"info":"⫖↰⪸59108⪛⫼⫖↰⪸41147=⫖↰⪸688","layer":2},{"info":"NaN⩒⫫⫖↰⪸688=NaN","layer":1},{"info":"⫖↰⪸17A8⩘⫖↰⪸3029=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⊭∹↮=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⫑%∭=NaN","layer":1},{"info":"NaN≌NaN=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"($1055$∼$3585$⫭)↹⊜($1852$⋳⪒$1789$⨳⩥⨓(↞≼$7048$))⊉↱≁((∂⩏⊆$4039$⩧⪆$3525$)⇉⇉)","expression":"(⫖↰⪸73B∼⫖↰⪸20A9⫭)↹⊜(⫖↰⪸10A4⋳⪒⫖↰⪸1051⨳⩥⨓(↞≼⫖↰⪸40B4))⊉↱≁((∂⩏⊆⫖↰⪸2407⩧⪆⫖↰⪸2059)⇉⇉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":165,"operation_count":10,"complexity_ratio":16.5,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1055,"base":12},"right_expr":{"type":"numeric_atoms","value":3585,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":1789,"base":12}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":7048,"base":12}}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4039,"base":12},"right_expr":{"type":"numeric_atoms","value":3525,"base":12}}}}},"used_operators":["w2P8NbNXyL","9bazX3JMtO","t4WUHVGj7f","DyGG3AbaNP","nCS4ZIUYfx","12rbrZMWeM","DE7zCoGJt9","diKm42VcIt","8WDwsbhb0R","Ikt5ks8PT7"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","14qkJME0vr","eLAdDNolq6","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=3585","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=3585, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":2},{"info":"number node, value=1852","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=1789, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1628","layer":3},{"info":"number node, value=7048","layer":4},{"info":"compute unary expreesion, input=7048, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=55970","layer":3},{"info":"compute binary expreesion, left_input=1628, right_input=55970, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=54342","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=54342, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=4039","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=4039, right_input=3525, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3525","layer":3},{"info":"compute unary expreesion, input=-3525, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=4009","layer":2},{"info":"compute unary expreesion, input=4009, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-257868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-257868, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸73B∼⫖↰⪸20A9⫭)↹⊜(⫖↰⪸10A4⋳⪒⫖↰⪸1051⨳⩥⨓(↞≼⫖↰⪸40B4))⊉↱≁((∂⩏⊆⫖↰⪸2407⩧⪆⫖↰⪸2059)⇉⇉)=NaN","reverse_text":"NaN=(⫖↰⪸73B∼⫖↰⪸20A9⫭)↹⊜(⫖↰⪸10A4⋳⪒⫖↰⪸1051⨳⩥⨓(↞≼⫖↰⪸40B4))⊉↱≁((∂⩏⊆⫖↰⪸2407⩧⪆⫖↰⪸2059)⇉⇉)","cot":[{"info":"⫖↰⪸73B∼⫖↰⪸20A9=NaN","layer":3},{"info":"NaN⫭=NaN","layer":2},{"info":"⫖↰⪸10A4⋳⪒⫖↰⪸1051=⫖↰⪸B38","layer":3},{"info":"↞≼⫖↰⪸40B4=⫖↰⪸28482","layer":3},{"info":"⫖↰⪸B38⨳⩥⨓⫖↰⪸28482=⫖↰⪸27546","layer":2},{"info":"NaN↹⊜⫖↰⪸27546=NaN","layer":1},{"info":"⫖↰⪸2407⩧⪆⫖↰⪸2059=⫖↰⪸-2059","layer":3},{"info":"∂⩏⊆⫖↰⪸-2059=⫖↰⪸23A1","layer":2},{"info":"⫖↰⪸23A1⇉⇉=⫖↰⪸-105290","layer":1},{"info":"NaN⊉↱≁⫖↰⪸-105290=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"(($4002$⪄$3880$)∣($5729$/$9692$))↓(↸⊣($5387$∛$2212$))∵≐","expression":"((⫖↰⪸2396⪄⫖↰⪸22B4)∣(⫖↰⪸3395/⫖↰⪸5738))↓(↸⊣(⫖↰⪸314B∛⫖↰⪸1344))∵≐","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19279,"operation_count":7,"complexity_ratio":2754.1428571428573,"tree":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4002,"base":12},"right_expr":{"type":"numeric_atoms","value":3880,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5729,"base":12},"right_expr":{"type":"numeric_atoms","value":9692,"base":12}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5387,"base":12},"right_expr":{"type":"numeric_atoms","value":2212,"base":12}}}}},"used_operators":["59igzFyhWz","Af076pWI7l","PPChnnnBFF","SUmda5xLS4","XhwjNDsVaA","wztAlM01eG","w2537kitQq"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⫖↰⪸-224","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4002","layer":4},{"info":"number node, value=3880","layer":4},{"info":"compute binary expreesion, left_input=4002, right_input=3880, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-603905","layer":3},{"info":"number node, value=5729","layer":4},{"info":"number node, value=9692","layer":4},{"info":"compute binary expreesion, left_input=5729, right_input=9692, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-603905, right_input=0, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=604389","layer":2},{"info":"number node, value=5387","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=5387, right_input=2212, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=1340","layer":2},{"info":"compute binary expreesion, left_input=604389, right_input=1340, 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 = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=-316","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2396⪄⫖↰⪸22B4)∣(⫖↰⪸3395/⫖↰⪸5738))↓(↸⊣(⫖↰⪸314B∛⫖↰⪸1344))∵≐=⫖↰⪸-224","reverse_text":"⫖↰⪸-224=((⫖↰⪸2396⪄⫖↰⪸22B4)∣(⫖↰⪸3395/⫖↰⪸5738))↓(↸⊣(⫖↰⪸314B∛⫖↰⪸1344))∵≐","cot":[{"info":"⫖↰⪸2396⪄⫖↰⪸22B4=⫖↰⪸-251595","layer":3},{"info":"⫖↰⪸3395/⫖↰⪸5738=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-251595∣⫖↰⪸0=⫖↰⪸251919","layer":2},{"info":"⫖↰⪸314B∛⫖↰⪸1344=⫖↰⪸-47A","layer":3},{"info":"↸⊣⫖↰⪸-47A=⫖↰⪸938","layer":2},{"info":"⫖↰⪸251919↓⫖↰⪸938=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸-B2∵≐=⫖↰⪸-224","layer":0}]}
{"id":73,"expression_no_base_symbol":"($8693$⪝$1250$⊋$1986$≁↽≥$5005$)↤⩊(⨴⫝(⇖$2684$))⨐(($2493$⩚⊴⇥$2005$∙⊟($5716$⫃⨇$2163$))∀⊥⇻)","expression":"(⫖↰⪸5045⪝⫖↰⪸882⊋⫖↰⪸1196≁↽≥⫖↰⪸2A91)↤⩊(⨴⫝(⇖⫖↰⪸1678))⨐((⫖↰⪸1539⩚⊴⇥⫖↰⪸11B1∙⊟(⫖↰⪸3384⫃⨇⫖↰⪸1303))∀⊥⇻)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":146909,"operation_count":11,"complexity_ratio":13355.363636363636,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":8693,"base":12},"right_expr":{"type":"numeric_atoms","value":1250,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1986,"base":12},"right_expr":{"type":"numeric_atoms","value":5005,"base":12}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2684,"base":12}}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2493,"base":12},"right_expr":{"type":"numeric_atoms","value":2005,"base":12}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5716,"base":12},"right_expr":{"type":"numeric_atoms","value":2163,"base":12}}}}},"used_operators":["Noe24qw2ks","13rbtpv6ld","W4tP9CfskL","wicAB68Tmb","ncHt1X6cMc","SVb2v531z1","tfWHHpNKUN","k4iM1060OG","SxTAKzQCrw","NTOWxs364D","09Ly4LVMIf"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","2DQ55sFlQl","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8693","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=8693, right_input=1250, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-30171","layer":3},{"info":"number node, value=1986","layer":4},{"info":"number node, value=5005","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=5005, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=39722","layer":3},{"info":"compute binary expreesion, left_input=-30171, right_input=39722, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-inf","layer":2},{"info":"number node, value=2684","layer":4},{"info":"compute unary expreesion, input=2684, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=2828198, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=2493","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=2005, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4619","layer":3},{"info":"number node, value=5716","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=5716, right_input=2163, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8684","layer":3},{"info":"compute binary expreesion, left_input=-4619, right_input=-8684, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=75791","layer":2},{"info":"compute unary expreesion, input=75791, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸5045⪝⫖↰⪸882⊋⫖↰⪸1196≁↽≥⫖↰⪸2A91)↤⩊(⨴⫝(⇖⫖↰⪸1678))⨐((⫖↰⪸1539⩚⊴⇥⫖↰⪸11B1∙⊟(⫖↰⪸3384⫃⨇⫖↰⪸1303))∀⊥⇻)=NaN","reverse_text":"NaN=(⫖↰⪸5045⪝⫖↰⪸882⊋⫖↰⪸1196≁↽≥⫖↰⪸2A91)↤⩊(⨴⫝(⇖⫖↰⪸1678))⨐((⫖↰⪸1539⩚⊴⇥⫖↰⪸11B1∙⊟(⫖↰⪸3384⫃⨇⫖↰⪸1303))∀⊥⇻)","cot":[{"info":"⫖↰⪸5045⪝⫖↰⪸882=⫖↰⪸-15563","layer":3},{"info":"⫖↰⪸1196≁↽≥⫖↰⪸2A91=⫖↰⪸1ABA2","layer":3},{"info":"⫖↰⪸-15563⊋⫖↰⪸1ABA2=-Inf","layer":2},{"info":"⇖⫖↰⪸1678=⫖↰⪸114","layer":3},{"info":"⨴⫝⫖↰⪸114=⫖↰⪸B44832","layer":2},{"info":"-Inf↤⩊⫖↰⪸B44832=NaN","layer":1},{"info":"⫖↰⪸1539⩚⊴⇥⫖↰⪸11B1=⫖↰⪸-280B","layer":3},{"info":"⫖↰⪸3384⫃⨇⫖↰⪸1303=⫖↰⪸-5038","layer":3},{"info":"⫖↰⪸-280B∙⊟⫖↰⪸-5038=⫖↰⪸37A3B","layer":2},{"info":"⫖↰⪸37A3B∀⊥⇻=⫖↰⪸0","layer":1},{"info":"NaN⨐⫖↰⪸0=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"((⇙⪊(⪲⇎$1572$))≀⩗∶($2415$↤⩊$6074$⨵⪆$4845$⫒⫫$6156$))⇔⨋","expression":"((⇙⪊(⪲⇎⫖↰⪸AB0))≀⩗∶(⫖↰⪸1493↤⩊⫖↰⪸3622⨵⪆⫖↰⪸2979⫒⫫⫖↰⪸3690))⇔⨋","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":226,"operation_count":7,"complexity_ratio":32.285714285714285,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1572,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2415,"base":12},"right_expr":{"type":"numeric_atoms","value":6074,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4845,"base":12},"right_expr":{"type":"numeric_atoms","value":6156,"base":12}}}}},"used_operators":["uBihLCJcMX","8INZBEW696","pB6Fcnrjim","XPYlsWDdGa","2DQ55sFlQl","13rbtpv6ld","6Ko8hGgeMq"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1572","layer":4},{"info":"compute unary expreesion, input=1572, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3144","layer":3},{"info":"compute unary expreesion, input=3144, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=2415","layer":4},{"info":"number node, value=6074","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=6074, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4845","layer":4},{"info":"number node, value=6156","layer":4},{"info":"compute binary expreesion, left_input=4845, right_input=6156, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇙⪊(⪲⇎⫖↰⪸AB0))≀⩗∶(⫖↰⪸1493↤⩊⫖↰⪸3622⨵⪆⫖↰⪸2979⫒⫫⫖↰⪸3690))⇔⨋=NaN","reverse_text":"NaN=((⇙⪊(⪲⇎⫖↰⪸AB0))≀⩗∶(⫖↰⪸1493↤⩊⫖↰⪸3622⨵⪆⫖↰⪸2979⫒⫫⫖↰⪸3690))⇔⨋","cot":[{"info":"⪲⇎⫖↰⪸AB0=⫖↰⪸19A0","layer":3},{"info":"⇙⪊⫖↰⪸19A0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1493↤⩊⫖↰⪸3622=NaN","layer":3},{"info":"⫖↰⪸2979⫒⫫⫖↰⪸3690=NaN","layer":3},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸0≀⩗∶⫖↰⪸114=NaN","layer":1},{"info":"NaN⇔⨋=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"((⇋⊎⋝$1059$)∲⫓$5952$⫳≱↱$6140$)⨜⨶($2576$⊴$1707$↱$7953$≳⇉$1453$)↳∿⪆(∐⩳⋚($1171$⋥≓≎$3914$))∋(($2058$∼$4614$)⪥($1590$⫡⨏$3284$))","expression":"((⇋⊎⋝⫖↰⪸743)∲⫓⫖↰⪸3540⫳≱↱⫖↰⪸3678)⨜⨶(⫖↰⪸15A8⊴⫖↰⪸BA3↱⫖↰⪸4729≳⇉⫖↰⪸A11)↳∿⪆(∐⩳⋚(⫖↰⪸817⋥≓≎⫖↰⪸2322))∋((⫖↰⪸1236∼⫖↰⪸2806)⪥(⫖↰⪸B06⫡⨏⫖↰⪸1A98))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":35333177,"operation_count":14,"complexity_ratio":2523798.3571428573,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1059,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5952,"base":12},"right_expr":{"type":"numeric_atoms","value":6140,"base":12}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2576,"base":12},"right_expr":{"type":"numeric_atoms","value":1707,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":7953,"base":12},"right_expr":{"type":"numeric_atoms","value":1453,"base":12}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1171,"base":12},"right_expr":{"type":"numeric_atoms","value":3914,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2058,"base":12},"right_expr":{"type":"numeric_atoms","value":4614,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1590,"base":12},"right_expr":{"type":"numeric_atoms","value":3284,"base":12}}}}},"used_operators":["Cw4SuJJGHO","HiPekx5b7W","i8ToyICDmI","CzM2PEoXns","ZvLB05nZmT","SR5kFfdi6N","Nsiff2A1zJ","V0kx6qeWkN","ukq6epAj5P","SL6IHkK8vl","Qy55tPpLXF","QbnwKVWMIQ","DyGG3AbaNP","QMFrweE19q"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","dWAJyo7jo9","14qkJME0vr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=5952","layer":4},{"info":"number node, value=6140","layer":4},{"info":"compute binary expreesion, left_input=5952, right_input=6140, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=2576","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=1707, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7953","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=7953, right_input=1453, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=1171","layer":4},{"info":"number node, value=3914","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=3914, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6690","layer":3},{"info":"compute unary expreesion, input=6690, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=991807","layer":2},{"info":"number node, value=2058","layer":4},{"info":"number node, value=4614","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=4614, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1590","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=3284, 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=15301","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15301, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=991807, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-4021852","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4021852, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇋⊎⋝⫖↰⪸743)∲⫓⫖↰⪸3540⫳≱↱⫖↰⪸3678)⨜⨶(⫖↰⪸15A8⊴⫖↰⪸BA3↱⫖↰⪸4729≳⇉⫖↰⪸A11)↳∿⪆(∐⩳⋚(⫖↰⪸817⋥≓≎⫖↰⪸2322))∋((⫖↰⪸1236∼⫖↰⪸2806)⪥(⫖↰⪸B06⫡⨏⫖↰⪸1A98))=NaN","reverse_text":"NaN=((⇋⊎⋝⫖↰⪸743)∲⫓⫖↰⪸3540⫳≱↱⫖↰⪸3678)⨜⨶(⫖↰⪸15A8⊴⫖↰⪸BA3↱⫖↰⪸4729≳⇉⫖↰⪸A11)↳∿⪆(∐⩳⋚(⫖↰⪸817⋥≓≎⫖↰⪸2322))∋((⫖↰⪸1236∼⫖↰⪸2806)⪥(⫖↰⪸B06⫡⨏⫖↰⪸1A98))","cot":[{"info":"⇋⊎⋝⫖↰⪸743=NaN","layer":3},{"info":"⫖↰⪸3540⫳≱↱⫖↰⪸3678=⫖↰⪸-150","layer":3},{"info":"NaN∲⫓⫖↰⪸-150=NaN","layer":2},{"info":"⫖↰⪸15A8⊴⫖↰⪸BA3=NaN","layer":3},{"info":"⫖↰⪸4729≳⇉⫖↰⪸A11=NaN","layer":3},{"info":"NaN↱NaN=NaN","layer":2},{"info":"NaN⨜⨶NaN=NaN","layer":1},{"info":"⫖↰⪸817⋥≓≎⫖↰⪸2322=⫖↰⪸3A56","layer":3},{"info":"∐⩳⋚⫖↰⪸3A56=⫖↰⪸3B9B67","layer":2},{"info":"⫖↰⪸1236∼⫖↰⪸2806=NaN","layer":3},{"info":"⫖↰⪸B06⫡⨏⫖↰⪸1A98=⫖↰⪸8A31","layer":3},{"info":"NaN⪥⫖↰⪸8A31=NaN","layer":2},{"info":"⫖↰⪸3B9B67∋NaN=⫖↰⪸-141B564","layer":1},{"info":"NaN↳∿⪆⫖↰⪸-141B564=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"(((≉$1035$)⫲≸⪮($2935$/$1884$))⨱∎)⊭↱($2556$≄⊠$4751$)⫣⪄⊒($8896$⩣⫁∢$1765$)≀⩗∶($4295$∺≝⩲$5604$⫃⨇($5346$⫌⩉⩟$3687$))","expression":"(((≉⫖↰⪸723)⫲≸⪮(⫖↰⪸1847/⫖↰⪸1110))⨱∎)⊭↱(⫖↰⪸1590≄⊠⫖↰⪸28BB)⫣⪄⊒(⫖↰⪸5194⩣⫁∢⫖↰⪸1031)≀⩗∶(⫖↰⪸259B∺≝⩲⫖↰⪸32B0⫃⨇(⫖↰⪸3116⫌⩉⩟⫖↰⪸2173))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19985,"operation_count":12,"complexity_ratio":1665.4166666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1035,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2935,"base":12},"right_expr":{"type":"numeric_atoms","value":1884,"base":12}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2556,"base":12},"right_expr":{"type":"numeric_atoms","value":4751,"base":12}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":8896,"base":12},"right_expr":{"type":"numeric_atoms","value":1765,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4295,"base":12},"right_expr":{"type":"numeric_atoms","value":5604,"base":12}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5346,"base":12},"right_expr":{"type":"numeric_atoms","value":3687,"base":12}}}}},"used_operators":["COABgblf1C","MmTdOpaElr","P3lXMJvFrc","e1ybzncUwg","XhwjNDsVaA","8INZBEW696","RabNbG55vr","vXNesLlMH1","JDUIKTTSIa","09Ly4LVMIf","KPf6cnQVty","XIIwhv8d0m"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1566","layer":3},{"info":"number node, value=2935","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=1884, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=1566, right_input=1, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1566","layer":2},{"info":"compute unary expreesion, input=1566, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"number node, value=2556","layer":4},{"info":"number node, value=4751","layer":4},{"info":"compute binary expreesion, left_input=2556, right_input=4751, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=80684","layer":3},{"info":"number node, value=8896","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=8896, right_input=1765, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-17631","layer":3},{"info":"compute binary expreesion, left_input=80684, right_input=-17631, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=4295","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=4295, right_input=5604, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=5346","layer":4},{"info":"number node, value=3687","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=3687, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-50, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=168","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=168, 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=0, right_input=-3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1","layer":0}],"base":12,"result_base":12,"text":"(((≉⫖↰⪸723)⫲≸⪮(⫖↰⪸1847/⫖↰⪸1110))⨱∎)⊭↱(⫖↰⪸1590≄⊠⫖↰⪸28BB)⫣⪄⊒(⫖↰⪸5194⩣⫁∢⫖↰⪸1031)≀⩗∶(⫖↰⪸259B∺≝⩲⫖↰⪸32B0⫃⨇(⫖↰⪸3116⫌⩉⩟⫖↰⪸2173))=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=(((≉⫖↰⪸723)⫲≸⪮(⫖↰⪸1847/⫖↰⪸1110))⨱∎)⊭↱(⫖↰⪸1590≄⊠⫖↰⪸28BB)⫣⪄⊒(⫖↰⪸5194⩣⫁∢⫖↰⪸1031)≀⩗∶(⫖↰⪸259B∺≝⩲⫖↰⪸32B0⫃⨇(⫖↰⪸3116⫌⩉⩟⫖↰⪸2173))","cot":[{"info":"≉⫖↰⪸723=⫖↰⪸AA6","layer":3},{"info":"⫖↰⪸1847/⫖↰⪸1110=⫖↰⪸1","layer":3},{"info":"⫖↰⪸AA6⫲≸⪮⫖↰⪸1=⫖↰⪸AA6","layer":2},{"info":"⫖↰⪸AA6⨱∎=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1590≄⊠⫖↰⪸28BB=⫖↰⪸3A838","layer":3},{"info":"⫖↰⪸5194⩣⫁∢⫖↰⪸1031=⫖↰⪸-A253","layer":3},{"info":"⫖↰⪸3A838⫣⪄⊒⫖↰⪸-A253=⫖↰⪸114","layer":2},{"info":"⫖↰⪸259B∺≝⩲⫖↰⪸32B0=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3116⫌⩉⩟⫖↰⪸2173=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸114⫃⨇⫖↰⪸-42=⫖↰⪸120","layer":2},{"info":"⫖↰⪸114≀⩗∶⫖↰⪸120=⫖↰⪸-3","layer":1},{"info":"⫖↰⪸0⊭↱⫖↰⪸-3=⫖↰⪸-1","layer":0}]}
{"id":77,"expression_no_base_symbol":"(∷≠((↨$1776$)∀⊥⇻))⊍","expression":"(∷≠((↨⫖↰⪸1040)∀⊥⇻))⊍","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":207,"operation_count":4,"complexity_ratio":51.75,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1776,"base":12}}}}},"used_operators":["3nqY3DE9mg","QiR2Oyf5Xj","k4iM1060OG","jiX4gk2v2Q"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","7j4O788W3g","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1776","layer":4},{"info":"compute unary expreesion, input=1776, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∷≠((↨⫖↰⪸1040)∀⊥⇻))⊍=NaN","reverse_text":"NaN=(∷≠((↨⫖↰⪸1040)∀⊥⇻))⊍","cot":[{"info":"↨⫖↰⪸1040=NaN","layer":3},{"info":"NaN∀⊥⇻=NaN","layer":2},{"info":"∷≠NaN=NaN","layer":1},{"info":"NaN⊍=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"(((≸≮$1294$)⊭↱$4011$≳⇉$3753$)∼(($4098$∲⫓$1443$)⫃⨇$4534$∘$3017$))↳∿⪆((⋗⩴⪓$1193$⨸$3900$)∙∹∝($2342$⪒$1930$)⨔≚≋$4917$⨻⩈⩔$1442$)","expression":"(((≸≮⫖↰⪸8BA)⊭↱⫖↰⪸23A3≳⇉⫖↰⪸2209)∼((⫖↰⪸2456∲⫓⫖↰⪸A03)⫃⨇⫖↰⪸275A∘⫖↰⪸18B5))↳∿⪆((⋗⩴⪓⫖↰⪸835⨸⫖↰⪸2310)∙∹∝(⫖↰⪸1432⪒⫖↰⪸114A)⨔≚≋⫖↰⪸2A19⨻⩈⩔⫖↰⪸A02)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":230514789,"operation_count":14,"complexity_ratio":16465342.07142857,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1294,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4011,"base":12},"right_expr":{"type":"numeric_atoms","value":3753,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4098,"base":12},"right_expr":{"type":"numeric_atoms","value":1443,"base":12}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4534,"base":12},"right_expr":{"type":"numeric_atoms","value":3017,"base":12}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1193,"base":12},"right_expr":{"type":"numeric_atoms","value":3900,"base":12}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2342,"base":12},"right_expr":{"type":"numeric_atoms","value":1930,"base":12}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4917,"base":12},"right_expr":{"type":"numeric_atoms","value":1442,"base":12}}}}},"used_operators":["Cw4SuJJGHO","DyGG3AbaNP","COABgblf1C","AljMvE3RRm","V0kx6qeWkN","09Ly4LVMIf","i8ToyICDmI","Z5m6OM72h2","HmxsFra2vL","nOKPl9n5zu","KmoU8R5UQR","Z57zeUYC9z","f6k1SAg4EE","nEsXyWgiOK"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=4011","layer":4},{"info":"number node, value=3753","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=3753, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4098","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=1443, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4534","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=4534, right_input=3017, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9068","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9068, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-36304","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36304, 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=1193","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=3900, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2386","layer":3},{"info":"compute unary expreesion, input=2386, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1473","layer":2},{"info":"number node, value=2342","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1930, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4272","layer":3},{"info":"number node, value=4917","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=4917, right_input=1442, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=30935","layer":3},{"info":"compute binary expreesion, left_input=-4272, right_input=30935, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-181888","layer":2},{"info":"compute binary expreesion, left_input=-1473, right_input=-181888, 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 = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((≸≮⫖↰⪸8BA)⊭↱⫖↰⪸23A3≳⇉⫖↰⪸2209)∼((⫖↰⪸2456∲⫓⫖↰⪸A03)⫃⨇⫖↰⪸275A∘⫖↰⪸18B5))↳∿⪆((⋗⩴⪓⫖↰⪸835⨸⫖↰⪸2310)∙∹∝(⫖↰⪸1432⪒⫖↰⪸114A)⨔≚≋⫖↰⪸2A19⨻⩈⩔⫖↰⪸A02)=NaN","reverse_text":"NaN=(((≸≮⫖↰⪸8BA)⊭↱⫖↰⪸23A3≳⇉⫖↰⪸2209)∼((⫖↰⪸2456∲⫓⫖↰⪸A03)⫃⨇⫖↰⪸275A∘⫖↰⪸18B5))↳∿⪆((⋗⩴⪓⫖↰⪸835⨸⫖↰⪸2310)∙∹∝(⫖↰⪸1432⪒⫖↰⪸114A)⨔≚≋⫖↰⪸2A19⨻⩈⩔⫖↰⪸A02)","cot":[{"info":"≸≮⫖↰⪸8BA=NaN","layer":3},{"info":"⫖↰⪸23A3≳⇉⫖↰⪸2209=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"⫖↰⪸2456∲⫓⫖↰⪸A03=⫖↰⪸0","layer":3},{"info":"⫖↰⪸275A∘⫖↰⪸18B5=⫖↰⪸52B8","layer":3},{"info":"⫖↰⪸0⫃⨇⫖↰⪸52B8=⫖↰⪸-19014","layer":2},{"info":"NaN∼⫖↰⪸-19014=NaN","layer":1},{"info":"⫖↰⪸835⨸⫖↰⪸2310=⫖↰⪸146A","layer":3},{"info":"⋗⩴⪓⫖↰⪸146A=⫖↰⪸-A29","layer":2},{"info":"⫖↰⪸1432⪒⫖↰⪸114A=⫖↰⪸-2580","layer":3},{"info":"⫖↰⪸2A19⨻⩈⩔⫖↰⪸A02=⫖↰⪸15A9B","layer":3},{"info":"⫖↰⪸-2580⨔≚≋⫖↰⪸15A9B=⫖↰⪸-89314","layer":2},{"info":"⫖↰⪸-A29∙∹∝⫖↰⪸-89314=⫖↰⪸0","layer":1},{"info":"NaN↳∿⪆⫖↰⪸0=NaN","layer":0}]}
{"id":79,"expression_no_base_symbol":"⋎⨆((⨴⫝$2902$)⨹)⪒($2198$⫔⩽⩺$2587$)⫁⪎($1255$⪘⫢$2234$)","expression":"⋎⨆((⨴⫝⫖↰⪸181A)⨹)⪒(⫖↰⪸1332⫔⩽⩺⫖↰⪸15B7)⫁⪎(⫖↰⪸887⪘⫢⫖↰⪸1362)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5330,"operation_count":7,"complexity_ratio":761.4285714285714,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2902,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2198,"base":12},"right_expr":{"type":"numeric_atoms","value":2587,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1255,"base":12},"right_expr":{"type":"numeric_atoms","value":2234,"base":12}}}}},"used_operators":["E64sFOc4tB","f6k1SAg4EE","UnCoSGIALn","SVb2v531z1","xRrnTEsQ6j","i9eR4S00cU","oacrs7FA3X"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸2953300","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2902","layer":4},{"info":"compute unary expreesion, input=2902, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=5656396","layer":2},{"info":"number node, value=2198","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=2587, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1255","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=2234, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2386","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2386, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5656396, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":0}],"base":12,"result_base":12,"text":"⋎⨆((⨴⫝⫖↰⪸181A)⨹)⪒(⫖↰⪸1332⫔⩽⩺⫖↰⪸15B7)⫁⪎(⫖↰⪸887⪘⫢⫖↰⪸1362)=⫖↰⪸2953300","reverse_text":"⫖↰⪸2953300=⋎⨆((⨴⫝⫖↰⪸181A)⨹)⪒(⫖↰⪸1332⫔⩽⩺⫖↰⪸15B7)⫁⪎(⫖↰⪸887⪘⫢⫖↰⪸1362)","cot":[{"info":"⨴⫝⫖↰⪸181A=⫖↰⪸B44832","layer":3},{"info":"⫖↰⪸B44832⨹=⫖↰⪸1A89464","layer":2},{"info":"⫖↰⪸1332⫔⩽⩺⫖↰⪸15B7=NaN","layer":3},{"info":"⫖↰⪸887⪘⫢⫖↰⪸1362=⫖↰⪸146A","layer":3},{"info":"NaN⫁⪎⫖↰⪸146A=NaN","layer":2},{"info":"⫖↰⪸1A89464⪒NaN=NaN","layer":1},{"info":"⋎⨆NaN=⫖↰⪸2953300","layer":0}]}
{"id":80,"expression_no_base_symbol":"(($4686$↤⩊$4454$⪨⊡$6648$∘$2553$)≄⊠((⊑$4485$)⊾⪯⋞$2890$≒∊$2472$))⪟⇏((($1468$⨽$2208$)⊍)∽(↓⇌$2539$)⪕($7391$⪨≂$5976$))","expression":"((⫖↰⪸2866↤⩊⫖↰⪸26B2⪨⊡⫖↰⪸3A20∘⫖↰⪸1589)≄⊠((⊑⫖↰⪸2719)⊾⪯⋞⫖↰⪸180A≒∊⫖↰⪸1520))⪟⇏(((⫖↰⪸A24⨽⫖↰⪸1340)⊍)∽(↓⇌⫖↰⪸1577)⪕(⫖↰⪸433B⪨≂⫖↰⪸3560))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2284,"operation_count":14,"complexity_ratio":163.14285714285714,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4686,"base":12},"right_expr":{"type":"numeric_atoms","value":4454,"base":12}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6648,"base":12},"right_expr":{"type":"numeric_atoms","value":2553,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":4485,"base":12}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2890,"base":12},"right_expr":{"type":"numeric_atoms","value":2472,"base":12}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1468,"base":12},"right_expr":{"type":"numeric_atoms","value":2208,"base":12}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2539,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7391,"base":12},"right_expr":{"type":"numeric_atoms","value":5976,"base":12}}}}},"used_operators":["GODebY97qR","vXNesLlMH1","kuIXHzHcAH","13rbtpv6ld","Z5m6OM72h2","HK0tfVPux8","IkUmn0D7oy","5KTvxBwnZo","y4ImoPnbV5","3nqY3DE9mg","8HhzD0ZcuI","umQnsF7QlU","PxpmPgHHJV","sdazOOVcIp"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4686","layer":4},{"info":"number node, value=4454","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=4454, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=6648","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=6648, right_input=2553, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=13296","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13296, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=4485","layer":4},{"info":"compute unary expreesion, input=4485, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=2890","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=2472, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2406","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-2406, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-820, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=1468","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=2208, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6470382","layer":3},{"info":"compute unary expreesion, input=-6470382, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-38826381","layer":2},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2539","layer":3},{"info":"number node, value=7391","layer":4},{"info":"number node, value=5976","layer":4},{"info":"compute binary expreesion, left_input=7391, right_input=5976, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2932","layer":3},{"info":"compute binary expreesion, left_input=2539, right_input=2932, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3047","layer":2},{"info":"compute binary expreesion, left_input=-38826381, right_input=3047, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=194122942","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=194122942, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2866↤⩊⫖↰⪸26B2⪨⊡⫖↰⪸3A20∘⫖↰⪸1589)≄⊠((⊑⫖↰⪸2719)⊾⪯⋞⫖↰⪸180A≒∊⫖↰⪸1520))⪟⇏(((⫖↰⪸A24⨽⫖↰⪸1340)⊍)∽(↓⇌⫖↰⪸1577)⪕(⫖↰⪸433B⪨≂⫖↰⪸3560))=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=((⫖↰⪸2866↤⩊⫖↰⪸26B2⪨⊡⫖↰⪸3A20∘⫖↰⪸1589)≄⊠((⊑⫖↰⪸2719)⊾⪯⋞⫖↰⪸180A≒∊⫖↰⪸1520))⪟⇏(((⫖↰⪸A24⨽⫖↰⪸1340)⊍)∽(↓⇌⫖↰⪸1577)⪕(⫖↰⪸433B⪨≂⫖↰⪸3560))","cot":[{"info":"⫖↰⪸2866↤⩊⫖↰⪸26B2=NaN","layer":3},{"info":"⫖↰⪸3A20∘⫖↰⪸1589=⫖↰⪸7840","layer":3},{"info":"NaN⪨⊡⫖↰⪸7840=NaN","layer":2},{"info":"⊑⫖↰⪸2719=⫖↰⪸140","layer":3},{"info":"⫖↰⪸180A≒∊⫖↰⪸1520=⫖↰⪸-1486","layer":3},{"info":"⫖↰⪸140⊾⪯⋞⫖↰⪸-1486=⫖↰⪸-584","layer":2},{"info":"NaN≄⊠⫖↰⪸-584=⫖↰⪸A50","layer":1},{"info":"⫖↰⪸A24⨽⫖↰⪸1340=⫖↰⪸-2200526","layer":3},{"info":"⫖↰⪸-2200526⊍=⫖↰⪸-11004B79","layer":2},{"info":"↓⇌⫖↰⪸1577=⫖↰⪸1577","layer":3},{"info":"⫖↰⪸433B⪨≂⫖↰⪸3560=⫖↰⪸1844","layer":3},{"info":"⫖↰⪸1577⪕⫖↰⪸1844=⫖↰⪸191B","layer":2},{"info":"⫖↰⪸-11004B79∽⫖↰⪸191B=⫖↰⪸550177BA","layer":1},{"info":"⫖↰⪸A50⪟⇏⫖↰⪸550177BA=⫖↰⪸-1","layer":0}]}
{"id":81,"expression_no_base_symbol":"($4679$∙∹∝$1295$⩨($3161$⫔⩽⩺$2374$))≭(↔(⪸$2535$))⋻⩜⩜($1588$⇻⋧≁$1197$⫌⩉⩟(↨$1576$))⩣⫁∢($1078$⇄$2108$)↞⋁($6615$↸$3479$)","expression":"(⫖↰⪸285B∙∹∝⫖↰⪸8BB⩨(⫖↰⪸19B5⫔⩽⩺⫖↰⪸145A))≭(↔(⪸⫖↰⪸1573))⋻⩜⩜(⫖↰⪸B04⇻⋧≁⫖↰⪸839⫌⩉⩟(↨⫖↰⪸AB4))⩣⫁∢(⫖↰⪸75A⇄⫖↰⪸1278)↞⋁(⫖↰⪸39B3↸⫖↰⪸201B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6053,"operation_count":14,"complexity_ratio":432.35714285714283,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4679,"base":12},"right_expr":{"type":"numeric_atoms","value":1295,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3161,"base":12},"right_expr":{"type":"numeric_atoms","value":2374,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2535,"base":12}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1588,"base":12},"right_expr":{"type":"numeric_atoms","value":1197,"base":12}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1576,"base":12}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1078,"base":12},"right_expr":{"type":"numeric_atoms","value":2108,"base":12}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":6615,"base":12},"right_expr":{"type":"numeric_atoms","value":3479,"base":12}}}}},"used_operators":["oDCm7WA9JY","rxpJgHHUmx","2DlMacCsIx","HmxsFra2vL","i9eR4S00cU","ruOEQAzv1W","86A5ENbKR9","JDUIKTTSIa","XIIwhv8d0m","jCPkEVoL5K","jiX4gk2v2Q","RqrPlJkxDo","3EYGwJThht","1eCjFl0mb9"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rGHVDoGpnC","oZj3VtZNQx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4679","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=4679, right_input=1295, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3161","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=2374, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2535","layer":4},{"info":"compute unary expreesion, input=2535, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-42886","layer":3},{"info":"compute unary expreesion, input=-42886, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1588","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=1197, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=2108, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=6615","layer":4},{"info":"number node, value=3479","layer":4},{"info":"compute binary expreesion, left_input=6615, right_input=3479, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6615","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6615, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":12,"result_base":12,"text":"(⫖↰⪸285B∙∹∝⫖↰⪸8BB⩨(⫖↰⪸19B5⫔⩽⩺⫖↰⪸145A))≭(↔(⪸⫖↰⪸1573))⋻⩜⩜(⫖↰⪸B04⇻⋧≁⫖↰⪸839⫌⩉⩟(↨⫖↰⪸AB4))⩣⫁∢(⫖↰⪸75A⇄⫖↰⪸1278)↞⋁(⫖↰⪸39B3↸⫖↰⪸201B)=NaN","reverse_text":"NaN=(⫖↰⪸285B∙∹∝⫖↰⪸8BB⩨(⫖↰⪸19B5⫔⩽⩺⫖↰⪸145A))≭(↔(⪸⫖↰⪸1573))⋻⩜⩜(⫖↰⪸B04⇻⋧≁⫖↰⪸839⫌⩉⩟(↨⫖↰⪸AB4))⩣⫁∢(⫖↰⪸75A⇄⫖↰⪸1278)↞⋁(⫖↰⪸39B3↸⫖↰⪸201B)","cot":[{"info":"⫖↰⪸285B∙∹∝⫖↰⪸8BB=⫖↰⪸0","layer":3},{"info":"⫖↰⪸19B5⫔⩽⩺⫖↰⪸145A=NaN","layer":3},{"info":"⫖↰⪸0⩨NaN=NaN","layer":2},{"info":"⪸⫖↰⪸1573=⫖↰⪸-2099A","layer":3},{"info":"↔⫖↰⪸-2099A=⫖↰⪸-B2","layer":2},{"info":"NaN≭⫖↰⪸-B2=NaN","layer":1},{"info":"⫖↰⪸B04⇻⋧≁⫖↰⪸839=⫖↰⪸-313","layer":3},{"info":"↨⫖↰⪸AB4=NaN","layer":3},{"info":"⫖↰⪸-313⫌⩉⩟NaN=⫖↰⪸-42","layer":2},{"info":"⫖↰⪸75A⇄⫖↰⪸1278=⫖↰⪸0","layer":3},{"info":"⫖↰⪸39B3↸⫖↰⪸201B=⫖↰⪸39B3","layer":3},{"info":"⫖↰⪸0↞⋁⫖↰⪸39B3=NaN","layer":2},{"info":"⫖↰⪸-42⩣⫁∢NaN=NaN","layer":1},{"info":"NaN⋻⩜⩜NaN=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"⨦⪝(($7811$⪟⇏$5711$↬⩅∪)⇴($1032$∳⫺$3537$)⨂≜($9190$∙∹∝$3501$))","expression":"⨦⪝((⫖↰⪸462B⪟⇏⫖↰⪸337B↬⩅∪)⇴(⫖↰⪸720∳⫺⫖↰⪸2069)⨂≜(⫖↰⪸539A∙∹∝⫖↰⪸2039))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3065,"operation_count":7,"complexity_ratio":437.85714285714283,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":7811,"base":12},"right_expr":{"type":"numeric_atoms","value":5711,"base":12}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1032,"base":12},"right_expr":{"type":"numeric_atoms","value":3537,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":9190,"base":12},"right_expr":{"type":"numeric_atoms","value":3501,"base":12}}}}},"used_operators":["SUjycxNXIR","4JB6nKBMSY","VJ330n2nnx","GODebY97qR","k1SHOSEABc","AzXXKTstlj","HmxsFra2vL"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","sdazOOVcIp","NTOWxs364D","COABgblf1C","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⫖↰⪸-1110","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7811","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=7811, right_input=5711, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=3","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=3537, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2884","layer":3},{"info":"number node, value=9190","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=9190, right_input=3501, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2884, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=33269520","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=33269520, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=66538672","layer":1},{"info":"compute unary expreesion, input=66538672, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":12,"result_base":12,"text":"⨦⪝((⫖↰⪸462B⪟⇏⫖↰⪸337B↬⩅∪)⇴(⫖↰⪸720∳⫺⫖↰⪸2069)⨂≜(⫖↰⪸539A∙∹∝⫖↰⪸2039))=⫖↰⪸-1110","reverse_text":"⫖↰⪸-1110=⨦⪝((⫖↰⪸462B⪟⇏⫖↰⪸337B↬⩅∪)⇴(⫖↰⪸720∳⫺⫖↰⪸2069)⨂≜(⫖↰⪸539A∙∹∝⫖↰⪸2039))","cot":[{"info":"⫖↰⪸462B⪟⇏⫖↰⪸337B=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-1↬⩅∪=⫖↰⪸3","layer":2},{"info":"⫖↰⪸720∳⫺⫖↰⪸2069=⫖↰⪸-1804","layer":3},{"info":"⫖↰⪸539A∙∹∝⫖↰⪸2039=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1804⨂≜⫖↰⪸0=⫖↰⪸B185240","layer":2},{"info":"⫖↰⪸3⇴⫖↰⪸B185240=⫖↰⪸1A34A214","layer":1},{"info":"⨦⪝⫖↰⪸1A34A214=⫖↰⪸-1110","layer":0}]}
{"id":83,"expression_no_base_symbol":"(((↡$3357$)↸$1100$⪎↠$6160$)⨳⩥⨓($2710$⪶≀⋏$2357$)∥⊢⊲$5121$↳≱$2853$)⪊≅","expression":"(((↡⫖↰⪸1B39)↸⫖↰⪸778⪎↠⫖↰⪸3694)⨳⩥⨓(⫖↰⪸169A⪶≀⋏⫖↰⪸1445)∥⊢⊲⫖↰⪸2B69↳≱⫖↰⪸1799)⪊≅","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":305,"operation_count":8,"complexity_ratio":38.125,"tree":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3357,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1100,"base":12},"right_expr":{"type":"numeric_atoms","value":6160,"base":12}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2710,"base":12},"right_expr":{"type":"numeric_atoms","value":2357,"base":12}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5121,"base":12},"right_expr":{"type":"numeric_atoms","value":2853,"base":12}}}}},"used_operators":["bjFbhXSADs","nCS4ZIUYfx","1eCjFl0mb9","MXaNJeIAZ3","3tVxb0NHM4","v1UQAVDJRr","zR4jO40bMj","JwTKLfZU96"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3357","layer":4},{"info":"compute unary expreesion, input=3357, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=30213","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=6160","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=6160, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=30213, right_input=160, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=30213","layer":2},{"info":"number node, value=2710","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=2357, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13076","layer":3},{"info":"number node, value=5121","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=5121, right_input=2853, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13076, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=30213, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-30213","layer":1},{"info":"compute unary expreesion, input=-30213, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(((↡⫖↰⪸1B39)↸⫖↰⪸778⪎↠⫖↰⪸3694)⨳⩥⨓(⫖↰⪸169A⪶≀⋏⫖↰⪸1445)∥⊢⊲⫖↰⪸2B69↳≱⫖↰⪸1799)⪊≅=⫖↰⪸0","reverse_text":"⫖↰⪸0=(((↡⫖↰⪸1B39)↸⫖↰⪸778⪎↠⫖↰⪸3694)⨳⩥⨓(⫖↰⪸169A⪶≀⋏⫖↰⪸1445)∥⊢⊲⫖↰⪸2B69↳≱⫖↰⪸1799)⪊≅","cot":[{"info":"↡⫖↰⪸1B39=⫖↰⪸15599","layer":3},{"info":"⫖↰⪸778⪎↠⫖↰⪸3694=⫖↰⪸114","layer":3},{"info":"⫖↰⪸15599↸⫖↰⪸114=⫖↰⪸15599","layer":2},{"info":"⫖↰⪸169A⪶≀⋏⫖↰⪸1445=⫖↰⪸-7698","layer":3},{"info":"⫖↰⪸2B69↳≱⫖↰⪸1799=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-7698∥⊢⊲⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸15599⨳⩥⨓⫖↰⪸0=⫖↰⪸-15599","layer":1},{"info":"⫖↰⪸-15599⪊≅=⫖↰⪸0","layer":0}]}
{"id":84,"expression_no_base_symbol":"(($2560$≚⋢)⩉⊫⨁)⨽∌($1727$≴⪞⇿$1419$∊∟⩊($3656$⨼⩣$1840$))≦↸($1001$⩘$7365$⨳⩥⨓($2827$⨕⋳))⊮⊟↴(⇜($5482$⊍))","expression":"((⫖↰⪸1594≚⋢)⩉⊫⨁)⨽∌(⫖↰⪸BBB≴⪞⇿⫖↰⪸9A3∊∟⩊(⫖↰⪸2148⨼⩣⫖↰⪸1094))≦↸(⫖↰⪸6B5⩘⫖↰⪸4319⨳⩥⨓(⫖↰⪸1777⨕⋳))⊮⊟↴(⇜(⫖↰⪸320A⊍))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":85508,"operation_count":13,"complexity_ratio":6577.538461538462,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2560,"base":12}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1727,"base":12},"right_expr":{"type":"numeric_atoms","value":1419,"base":12}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3656,"base":12},"right_expr":{"type":"numeric_atoms","value":1840,"base":12}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":7365,"base":12}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2827,"base":12}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":5482,"base":12}}}}},"used_operators":["RygbFNSyEJ","9samAPKr6k","7qqUquhhSb","MahUMFw56D","ddLRYrp01A","lvlrscuwVU","JxwMv5le6e","QDVgd2eftb","nCS4ZIUYfx","cHh1gJQ2o6","4X4GscPmMf","lFBm8KRb8F","3nqY3DE9mg"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","7j4O788W3g","3ViojmjbAp","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"⫖↰⪸-48A2255","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2560","layer":4},{"info":"compute unary expreesion, input=2560, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-89","layer":2},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1419, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4228466","layer":3},{"info":"number node, value=3656","layer":4},{"info":"number node, value=1840","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=1840, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4228466, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=5, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=7365","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=7365, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2827","layer":4},{"info":"compute unary expreesion, input=2827, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=168404","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=168404, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=168244","layer":2},{"info":"number node, value=5482","layer":4},{"info":"compute unary expreesion, input=5482, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=14766","layer":3},{"info":"compute unary expreesion, input=14766, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-118536","layer":2},{"info":"compute binary expreesion, left_input=168244, right_input=-118536, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=7073221","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7073221, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14145761","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1594≚⋢)⩉⊫⨁)⨽∌(⫖↰⪸BBB≴⪞⇿⫖↰⪸9A3∊∟⩊(⫖↰⪸2148⨼⩣⫖↰⪸1094))≦↸(⫖↰⪸6B5⩘⫖↰⪸4319⨳⩥⨓(⫖↰⪸1777⨕⋳))⊮⊟↴(⇜(⫖↰⪸320A⊍))=⫖↰⪸-48A2255","reverse_text":"⫖↰⪸-48A2255=((⫖↰⪸1594≚⋢)⩉⊫⨁)⨽∌(⫖↰⪸BBB≴⪞⇿⫖↰⪸9A3∊∟⩊(⫖↰⪸2148⨼⩣⫖↰⪸1094))≦↸(⫖↰⪸6B5⩘⫖↰⪸4319⨳⩥⨓(⫖↰⪸1777⨕⋳))⊮⊟↴(⇜(⫖↰⪸320A⊍))","cot":[{"info":"⫖↰⪸1594≚⋢=⫖↰⪸-75","layer":3},{"info":"⫖↰⪸-75⩉⊫⨁=⫖↰⪸-75","layer":2},{"info":"⫖↰⪸BBB≴⪞⇿⫖↰⪸9A3=⫖↰⪸14BB042","layer":3},{"info":"⫖↰⪸2148⨼⩣⫖↰⪸1094=NaN","layer":3},{"info":"⫖↰⪸14BB042∊∟⩊NaN=⫖↰⪸5","layer":2},{"info":"⫖↰⪸-75⨽∌⫖↰⪸5=⫖↰⪸0","layer":1},{"info":"⫖↰⪸6B5⩘⫖↰⪸4319=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1777⨕⋳=⫖↰⪸81558","layer":3},{"info":"⫖↰⪸114⨳⩥⨓⫖↰⪸81558=⫖↰⪸81444","layer":2},{"info":"⫖↰⪸320A⊍=⫖↰⪸8666","layer":3},{"info":"⇜⫖↰⪸8666=⫖↰⪸-58720","layer":2},{"info":"⫖↰⪸81444⊮⊟↴⫖↰⪸-58720=⫖↰⪸2451371","layer":1},{"info":"⫖↰⪸0≦↸⫖↰⪸2451371=⫖↰⪸-48A2255","layer":0}]}
{"id":85,"expression_no_base_symbol":"⨰⫟⨤($1282$⇻⋧≁$5904$⨔⇊($1153$⊍))≦↸(($5486$⨫⇇↔$2662$)⊱⇼⊻($3283$⊭∹↮))","expression":"⨰⫟⨤(⫖↰⪸8AA⇻⋧≁⫖↰⪸3500⨔⇊(⫖↰⪸801⊍))≦↸((⫖↰⪸3212⨫⇇↔⫖↰⪸165A)⊱⇼⊻(⫖↰⪸1A97⊭∹↮))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32268,"operation_count":8,"complexity_ratio":4033.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1282,"base":12},"right_expr":{"type":"numeric_atoms","value":5904,"base":12}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1153,"base":12}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5486,"base":12},"right_expr":{"type":"numeric_atoms","value":2662,"base":12}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3283,"base":12}}}}},"used_operators":["Tw270M8GLb","RygbFNSyEJ","JclMnS0uGI","jCPkEVoL5K","3nqY3DE9mg","FyVja0WsTP","LXhwmt4mBO","xNBdhnnwKq"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"number node, value=5904","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=5904, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=1779","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=1779, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1779","layer":2},{"info":"number node, value=5486","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=2662, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3283","layer":4},{"info":"compute unary expreesion, input=3283, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6566","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=6566, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=2312","layer":2},{"info":"compute binary expreesion, left_input=1779, right_input=2312, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7501","layer":1},{"info":"compute unary expreesion, input=-7501, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤(⫖↰⪸8AA⇻⋧≁⫖↰⪸3500⨔⇊(⫖↰⪸801⊍))≦↸((⫖↰⪸3212⨫⇇↔⫖↰⪸165A)⊱⇼⊻(⫖↰⪸1A97⊭∹↮))=NaN","reverse_text":"NaN=⨰⫟⨤(⫖↰⪸8AA⇻⋧≁⫖↰⪸3500⨔⇊(⫖↰⪸801⊍))≦↸((⫖↰⪸3212⨫⇇↔⫖↰⪸165A)⊱⇼⊻(⫖↰⪸1A97⊭∹↮))","cot":[{"info":"⫖↰⪸8AA⇻⋧≁⫖↰⪸3500=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸801⊍=⫖↰⪸1043","layer":3},{"info":"⫖↰⪸-313⨔⇊⫖↰⪸1043=⫖↰⪸1043","layer":2},{"info":"⫖↰⪸3212⨫⇇↔⫖↰⪸165A=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸1A97⊭∹↮=⫖↰⪸3972","layer":3},{"info":"⫖↰⪸-37B⊱⇼⊻⫖↰⪸3972=⫖↰⪸1408","layer":2},{"info":"⫖↰⪸1043≦↸⫖↰⪸1408=⫖↰⪸-4411","layer":1},{"info":"⨰⫟⨤⫖↰⪸-4411=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"↴⪽⋼($3117$⪚$1338$*(⨣⨃⇪$1478$))⫰⋱($3560$∇⊂⋱$2249$⪃↞⩐)","expression":"↴⪽⋼(⫖↰⪸1979⪚⫖↰⪸936*(⨣⨃⇪⫖↰⪸A32))⫰⋱(⫖↰⪸2088∇⊂⋱⫖↰⪸1375⪃↞⩐)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2308,"operation_count":7,"complexity_ratio":329.7142857142857,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3117,"base":12},"right_expr":{"type":"numeric_atoms","value":1338,"base":12}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1478,"base":12}}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3560,"base":12},"right_expr":{"type":"numeric_atoms","value":2249,"base":12}}}}},"used_operators":["5TUYCnJO6w","6o9Blt3TJ6","9HNa5Wba9A","HrjLwUk87U","AcOhelriW5","grXIztHqDa","nhYeJWJD5X"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⫖↰⪸18892","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3117","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=3117, right_input=1338, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3202","layer":3},{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=3202, right_input=1405, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4498810","layer":2},{"info":"number node, value=3560","layer":4},{"info":"number node, value=2249","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=2249, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6574","layer":3},{"info":"compute unary expreesion, input=6574, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=39750","layer":2},{"info":"compute binary expreesion, left_input=4498810, right_input=39750, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4498777","layer":1},{"info":"compute unary expreesion, input=-4498777, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":0}],"base":12,"result_base":12,"text":"↴⪽⋼(⫖↰⪸1979⪚⫖↰⪸936*(⨣⨃⇪⫖↰⪸A32))⫰⋱(⫖↰⪸2088∇⊂⋱⫖↰⪸1375⪃↞⩐)=⫖↰⪸18892","reverse_text":"⫖↰⪸18892=↴⪽⋼(⫖↰⪸1979⪚⫖↰⪸936*(⨣⨃⇪⫖↰⪸A32))⫰⋱(⫖↰⪸2088∇⊂⋱⫖↰⪸1375⪃↞⩐)","cot":[{"info":"⫖↰⪸1979⪚⫖↰⪸936=⫖↰⪸1A2A","layer":3},{"info":"⨣⨃⇪⫖↰⪸A32=⫖↰⪸991","layer":3},{"info":"⫖↰⪸1A2A*⫖↰⪸991=⫖↰⪸160B58A","layer":2},{"info":"⫖↰⪸2088∇⊂⋱⫖↰⪸1375=⫖↰⪸397A","layer":3},{"info":"⫖↰⪸397A⪃↞⩐=⫖↰⪸1B006","layer":2},{"info":"⫖↰⪸160B58A⫰⋱⫖↰⪸1B006=⫖↰⪸-160B561","layer":1},{"info":"↴⪽⋼⫖↰⪸-160B561=⫖↰⪸18892","layer":0}]}
{"id":87,"expression_no_base_symbol":"(((⋠∜$1379$)⫯⪬∳$1115$⇤$5943$)⫯⪬∳($1853$⨼⩣$5905$⇍⊗($4840$⨑≵⋬$4838$)))≝⊿((⇜⊴$1077$)⫁($3089$≋⫹)∪⫐($6388$⨽∌$1246$≦≮≮))","expression":"(((⋠∜⫖↰⪸96B)⫯⪬∳⫖↰⪸78B⇤⫖↰⪸3533)⫯⪬∳(⫖↰⪸10A5⨼⩣⫖↰⪸3501⇍⊗(⫖↰⪸2974⨑≵⋬⫖↰⪸2972)))≝⊿((⇜⊴⫖↰⪸759)⫁(⫖↰⪸1955≋⫹)∪⫐(⫖↰⪸3844⨽∌⫖↰⪸87A≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19680,"operation_count":14,"complexity_ratio":1405.7142857142858,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1379,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1115,"base":12},"right_expr":{"type":"numeric_atoms","value":5943,"base":12}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1853,"base":12},"right_expr":{"type":"numeric_atoms","value":5905,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4840,"base":12},"right_expr":{"type":"numeric_atoms","value":4838,"base":12}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1077,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3089,"base":12}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6388,"base":12},"right_expr":{"type":"numeric_atoms","value":1246,"base":12}}}}},"used_operators":["OKKcZfAt5B","d7ASUq0ydm","ZJpFhNJr3x","YSKBFp38Pu","5uvYHDjeKN","JxwMv5le6e","XnXgA4xnOs","7YooWSwCyH","0ajvFaJAv0","XwDhCwWbUn","N41Kp7NANJ","D4vGDi5EA2","9samAPKr6k"],"dependent_operators":["12rbrZMWeM","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","cHh1gJQ2o6","AHs5Up7iyr","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⫖↰⪸-58681","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1379","layer":4},{"info":"compute unary expreesion, input=1379, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7800","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=5943","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=5943, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-32442","layer":3},{"info":"compute binary expreesion, left_input=7800, right_input=-32442, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=23467","layer":2},{"info":"number node, value=1853","layer":4},{"info":"number node, value=5905","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=5905, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=4840","layer":4},{"info":"number node, value=4838","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=4838, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-8287","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8287, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=23467, right_input=-244, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=117612","layer":1},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, 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=-240458","layer":3},{"info":"number node, value=3089","layer":4},{"info":"compute unary expreesion, input=3089, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6178","layer":3},{"info":"compute binary expreesion, left_input=-240458, right_input=-6178, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=6388","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=6388, right_input=1246, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=117612, right_input=160, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-118465","layer":0}],"base":12,"result_base":12,"text":"(((⋠∜⫖↰⪸96B)⫯⪬∳⫖↰⪸78B⇤⫖↰⪸3533)⫯⪬∳(⫖↰⪸10A5⨼⩣⫖↰⪸3501⇍⊗(⫖↰⪸2974⨑≵⋬⫖↰⪸2972)))≝⊿((⇜⊴⫖↰⪸759)⫁(⫖↰⪸1955≋⫹)∪⫐(⫖↰⪸3844⨽∌⫖↰⪸87A≦≮≮))=⫖↰⪸-58681","reverse_text":"⫖↰⪸-58681=(((⋠∜⫖↰⪸96B)⫯⪬∳⫖↰⪸78B⇤⫖↰⪸3533)⫯⪬∳(⫖↰⪸10A5⨼⩣⫖↰⪸3501⇍⊗(⫖↰⪸2974⨑≵⋬⫖↰⪸2972)))≝⊿((⇜⊴⫖↰⪸759)⫁(⫖↰⪸1955≋⫹)∪⫐(⫖↰⪸3844⨽∌⫖↰⪸87A≦≮≮))","cot":[{"info":"⋠∜⫖↰⪸96B=⫖↰⪸4620","layer":3},{"info":"⫖↰⪸78B⇤⫖↰⪸3533=⫖↰⪸-16936","layer":3},{"info":"⫖↰⪸4620⫯⪬∳⫖↰⪸-16936=⫖↰⪸116B7","layer":2},{"info":"⫖↰⪸10A5⨼⩣⫖↰⪸3501=NaN","layer":3},{"info":"⫖↰⪸2974⨑≵⋬⫖↰⪸2972=⫖↰⪸-4967","layer":3},{"info":"NaN⇍⊗⫖↰⪸-4967=⫖↰⪸-184","layer":2},{"info":"⫖↰⪸116B7⫯⪬∳⫖↰⪸-184=⫖↰⪸58090","layer":1},{"info":"⇜⊴⫖↰⪸759=⫖↰⪸-B71A2","layer":3},{"info":"⫖↰⪸1955≋⫹=⫖↰⪸-36AA","layer":3},{"info":"⫖↰⪸-B71A2⫁⫖↰⪸-36AA=⫖↰⪸114","layer":2},{"info":"⫖↰⪸3844⨽∌⫖↰⪸87A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≦≮≮=⫖↰⪸0","layer":2},{"info":"⫖↰⪸114∪⫐⫖↰⪸0=⫖↰⪸114","layer":1},{"info":"⫖↰⪸58090≝⊿⫖↰⪸114=⫖↰⪸-58681","layer":0}]}
{"id":88,"expression_no_base_symbol":"≑⋹(($6575$≧⫂∧$3879$)⪒⊣⊆$5052$∴$2672$)⋹⋡⊁($4608$⪕$3063$⋷$1084$⊴$2878$)","expression":"≑⋹((⫖↰⪸397B≧⫂∧⫖↰⪸22B3)⪒⊣⊆⫖↰⪸2B10∴⫖↰⪸1668)⋹⋡⊁(⫖↰⪸2800⪕⫖↰⪸1933⋷⫖↰⪸764⊴⫖↰⪸17BA)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3037,"operation_count":8,"complexity_ratio":379.625,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6575,"base":12},"right_expr":{"type":"numeric_atoms","value":3879,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5052,"base":12},"right_expr":{"type":"numeric_atoms","value":2672,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4608,"base":12},"right_expr":{"type":"numeric_atoms","value":3063,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1084,"base":12},"right_expr":{"type":"numeric_atoms","value":2878,"base":12}}}}},"used_operators":["6B9nyZLogK","As8RqfVLgs","eRqsBgTDFp","Ph9nP6C5qx","hrf7POJlIJ","23Mk6UjR3U","umQnsF7QlU","Nsiff2A1zJ"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","dWAJyo7jo9","14qkJME0vr"],"result":"⫖↰⪸B56","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6575","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=6575, right_input=3879, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3406","layer":3},{"info":"number node, value=5052","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=5052, right_input=2672, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11752","layer":3},{"info":"compute binary expreesion, left_input=3406, right_input=11752, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6812","layer":2},{"info":"number node, value=4608","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=4608, right_input=3063, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=7054","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=2878","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=2878, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7054, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6812, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=54234","layer":1},{"info":"compute unary expreesion, input=54234, 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":12,"result_base":12,"text":"≑⋹((⫖↰⪸397B≧⫂∧⫖↰⪸22B3)⪒⊣⊆⫖↰⪸2B10∴⫖↰⪸1668)⋹⋡⊁(⫖↰⪸2800⪕⫖↰⪸1933⋷⫖↰⪸764⊴⫖↰⪸17BA)=⫖↰⪸B56","reverse_text":"⫖↰⪸B56=≑⋹((⫖↰⪸397B≧⫂∧⫖↰⪸22B3)⪒⊣⊆⫖↰⪸2B10∴⫖↰⪸1668)⋹⋡⊁(⫖↰⪸2800⪕⫖↰⪸1933⋷⫖↰⪸764⊴⫖↰⪸17BA)","cot":[{"info":"⫖↰⪸397B≧⫂∧⫖↰⪸22B3=⫖↰⪸1B7A","layer":3},{"info":"⫖↰⪸2B10∴⫖↰⪸1668=⫖↰⪸6974","layer":3},{"info":"⫖↰⪸1B7A⪒⊣⊆⫖↰⪸6974=⫖↰⪸3B38","layer":2},{"info":"⫖↰⪸2800⪕⫖↰⪸1933=⫖↰⪸40BA","layer":3},{"info":"⫖↰⪸764⊴⫖↰⪸17BA=NaN","layer":3},{"info":"⫖↰⪸40BA⋷NaN=NaN","layer":2},{"info":"⫖↰⪸3B38⋹⋡⊁NaN=⫖↰⪸27476","layer":1},{"info":"≑⋹⫖↰⪸27476=⫖↰⪸B56","layer":0}]}
{"id":89,"expression_no_base_symbol":"(⨑⩽⪐$2735$≁↽≥$1900$⪨⊡($4675$⩨$1766$))∑⇟⊟(⋣($3995$⩣⫁∢$1495$↯⫤))","expression":"(⨑⩽⪐⫖↰⪸16BB≁↽≥⫖↰⪸1124⪨⊡(⫖↰⪸2857⩨⫖↰⪸1032))∑⇟⊟(⋣(⫖↰⪸238B⩣⫁∢⫖↰⪸A47↯⫤))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":257,"operation_count":8,"complexity_ratio":32.125,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2735,"base":12},"right_expr":{"type":"numeric_atoms","value":1900,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4675,"base":12},"right_expr":{"type":"numeric_atoms","value":1766,"base":12}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3995,"base":12},"right_expr":{"type":"numeric_atoms","value":1495,"base":12}}}}},"used_operators":["U7g4x0WXJJ","AF7qkfDlqP","kuIXHzHcAH","ncHt1X6cMc","2DlMacCsIx","zQWRhDnn8F","VwlE7vj6HS","JDUIKTTSIa"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2735","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=2735, right_input=1900, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=41599","layer":3},{"info":"number node, value=4675","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=4675, right_input=1766, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=41599, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"compute unary expreesion, input=789, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-516","layer":1},{"info":"number node, value=3995","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=3995, right_input=1495, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7829","layer":3},{"info":"compute unary expreesion, input=-7829, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=15658","layer":2},{"info":"compute unary expreesion, input=15658, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-4603357","layer":1},{"info":"compute binary expreesion, left_input=-516, right_input=-4603357, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸16BB≁↽≥⫖↰⪸1124⪨⊡(⫖↰⪸2857⩨⫖↰⪸1032))∑⇟⊟(⋣(⫖↰⪸238B⩣⫁∢⫖↰⪸A47↯⫤))=NaN","reverse_text":"NaN=(⨑⩽⪐⫖↰⪸16BB≁↽≥⫖↰⪸1124⪨⊡(⫖↰⪸2857⩨⫖↰⪸1032))∑⇟⊟(⋣(⫖↰⪸238B⩣⫁∢⫖↰⪸A47↯⫤))","cot":[{"info":"⫖↰⪸16BB≁↽≥⫖↰⪸1124=⫖↰⪸200A7","layer":3},{"info":"⫖↰⪸2857⩨⫖↰⪸1032=⫖↰⪸0","layer":3},{"info":"⫖↰⪸200A7⪨⊡⫖↰⪸0=⫖↰⪸559","layer":2},{"info":"⨑⩽⪐⫖↰⪸559=⫖↰⪸-370","layer":1},{"info":"⫖↰⪸238B⩣⫁∢⫖↰⪸A47=⫖↰⪸-4645","layer":3},{"info":"⫖↰⪸-4645↯⫤=⫖↰⪸908A","layer":2},{"info":"⋣⫖↰⪸908A=⫖↰⪸-165BB91","layer":1},{"info":"⫖↰⪸-370∑⇟⊟⫖↰⪸-165BB91=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"(((⊖∈$1255$)+$3926$⋾⨃∁$2834$)⊨($1268$⪎↠$3683$)⨽∌($1376$≥⨤⩑$1117$))↹⊜((($2737$⨎$5008$)⊎←↗)⪁($2502$⪣⫩)≎⊠⪸($3164$⫡⨏$6796$))","expression":"(((⊖∈⫖↰⪸887)+⫖↰⪸2332⋾⨃∁⫖↰⪸1782)⊨(⫖↰⪸898⪎↠⫖↰⪸216B)⨽∌(⫖↰⪸968≥⨤⩑⫖↰⪸791))↹⊜(((⫖↰⪸1701⨎⫖↰⪸2A94)⊎←↗)⪁(⫖↰⪸1546⪣⫩)≎⊠⪸(⫖↰⪸19B8⫡⨏⫖↰⪸3B24))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1947725,"operation_count":14,"complexity_ratio":139123.2142857143,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1255,"base":12}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3926,"base":12},"right_expr":{"type":"numeric_atoms","value":2834,"base":12}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1268,"base":12},"right_expr":{"type":"numeric_atoms","value":3683,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1376,"base":12},"right_expr":{"type":"numeric_atoms","value":1117,"base":12}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2737,"base":12},"right_expr":{"type":"numeric_atoms","value":5008,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2502,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3164,"base":12},"right_expr":{"type":"numeric_atoms","value":6796,"base":12}}}}},"used_operators":["9bazX3JMtO","vg4gO5BX6G","W4YGzv6Whe","YFxL8Sc2Zy","212REbPD9h","9samAPKr6k","3tVxb0NHM4","gJLn6v0xnP","I7sXao9hZE","dwb5p0fa6d","rJVOvQCfKK","bJkvcejdHO","iuk5sVOGFA","QMFrweE19q"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sdazOOVcIp","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=19506","layer":3},{"info":"number node, value=3926","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=2834, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=80281458","layer":3},{"info":"compute binary expreesion, left_input=19506, right_input=80281458, op_id = W4YGzv6Whe binary_op_definition= 'None', output=80300964","layer":2},{"info":"number node, value=1268","layer":4},{"info":"number node, value=3683","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=3683, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1117, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1234, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=80300964, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=321204887","layer":1},{"info":"number node, value=2737","layer":4},{"info":"number node, value=5008","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=5008, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5008","layer":3},{"info":"compute unary expreesion, input=5008, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-9331","layer":2},{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=7473","layer":3},{"info":"number node, value=3164","layer":4},{"info":"number node, value=6796","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=6796, 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=30195","layer":3},{"info":"compute binary expreesion, left_input=7473, right_input=30195, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1935034","layer":2},{"info":"compute binary expreesion, left_input=-9331, right_input=1935034, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=321204887, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⊖∈⫖↰⪸887)+⫖↰⪸2332⋾⨃∁⫖↰⪸1782)⊨(⫖↰⪸898⪎↠⫖↰⪸216B)⨽∌(⫖↰⪸968≥⨤⩑⫖↰⪸791))↹⊜(((⫖↰⪸1701⨎⫖↰⪸2A94)⊎←↗)⪁(⫖↰⪸1546⪣⫩)≎⊠⪸(⫖↰⪸19B8⫡⨏⫖↰⪸3B24))=NaN","reverse_text":"NaN=(((⊖∈⫖↰⪸887)+⫖↰⪸2332⋾⨃∁⫖↰⪸1782)⊨(⫖↰⪸898⪎↠⫖↰⪸216B)⨽∌(⫖↰⪸968≥⨤⩑⫖↰⪸791))↹⊜(((⫖↰⪸1701⨎⫖↰⪸2A94)⊎←↗)⪁(⫖↰⪸1546⪣⫩)≎⊠⪸(⫖↰⪸19B8⫡⨏⫖↰⪸3B24))","cot":[{"info":"⊖∈⫖↰⪸887=⫖↰⪸B356","layer":3},{"info":"⫖↰⪸2332⋾⨃∁⫖↰⪸1782=⫖↰⪸22A77216","layer":3},{"info":"⫖↰⪸B356+⫖↰⪸22A77216=⫖↰⪸22A86570","layer":2},{"info":"⫖↰⪸898⪎↠⫖↰⪸216B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸968≥⨤⩑⫖↰⪸791=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸114⨽∌⫖↰⪸86A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸22A86570⊨⫖↰⪸0=⫖↰⪸8B6A255B","layer":1},{"info":"⫖↰⪸1701⨎⫖↰⪸2A94=⫖↰⪸2A94","layer":3},{"info":"⫖↰⪸2A94⊎←↗=⫖↰⪸-5497","layer":2},{"info":"⫖↰⪸1546⪣⫩=⫖↰⪸43A9","layer":3},{"info":"⫖↰⪸19B8⫡⨏⫖↰⪸3B24=⫖↰⪸15583","layer":3},{"info":"⫖↰⪸43A9≎⊠⪸⫖↰⪸15583=⫖↰⪸79398A","layer":2},{"info":"⫖↰⪸-5497⪁⫖↰⪸79398A=NaN","layer":1},{"info":"⫖↰⪸8B6A255B↹⊜NaN=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"+⊝⨔(($3750$⪪$3235$∷(↡$2525$))⨐⩸⫘(($1703$⇟⨁⪰)∖$8360$⩁⩘$5381$))","expression":"+⊝⨔((⫖↰⪸2206⪪⫖↰⪸1A57∷(↡⫖↰⪸1565))⨐⩸⫘((⫖↰⪸B9B⇟⨁⪰)∖⫖↰⪸4A08⩁⩘⫖↰⪸3145))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13422,"operation_count":8,"complexity_ratio":1677.75,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3750,"base":12},"right_expr":{"type":"numeric_atoms","value":3235,"base":12}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2525,"base":12}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1703,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":8360,"base":12},"right_expr":{"type":"numeric_atoms","value":5381,"base":12}}}}},"used_operators":["DhbWaqg5eL","fu6greOZ01","D3AQDKkPcf","xD69zh8xqp","MXaNJeIAZ3","tXD093vOjl","BX1lVwlMe0","gub5Cegaqo"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3ViojmjbAp","9FxExcQeMw","NTOWxs364D","7j4O788W3g","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2DDjHMKMc0","xUOZtlo3hN","DpFCA1CohY","IWmyXbctLI"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3750","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=3235, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-562339","layer":3},{"info":"number node, value=2525","layer":4},{"info":"compute unary expreesion, input=2525, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=22725","layer":3},{"info":"compute binary expreesion, left_input=-562339, right_input=22725, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=22725","layer":2},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1877","layer":3},{"info":"number node, value=8360","layer":4},{"info":"number node, value=5381","layer":4},{"info":"compute binary expreesion, left_input=8360, right_input=5381, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=22472","layer":3},{"info":"compute binary expreesion, left_input=-1877, right_input=22472, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=22725, 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=22725","layer":1},{"info":"compute unary expreesion, input=22725, 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":12,"result_base":12,"text":"+⊝⨔((⫖↰⪸2206⪪⫖↰⪸1A57∷(↡⫖↰⪸1565))⨐⩸⫘((⫖↰⪸B9B⇟⨁⪰)∖⫖↰⪸4A08⩁⩘⫖↰⪸3145))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔((⫖↰⪸2206⪪⫖↰⪸1A57∷(↡⫖↰⪸1565))⨐⩸⫘((⫖↰⪸B9B⇟⨁⪰)∖⫖↰⪸4A08⩁⩘⫖↰⪸3145))","cot":[{"info":"⫖↰⪸2206⪪⫖↰⪸1A57=⫖↰⪸-231517","layer":3},{"info":"↡⫖↰⪸1565=⫖↰⪸11199","layer":3},{"info":"⫖↰⪸-231517∷⫖↰⪸11199=⫖↰⪸11199","layer":2},{"info":"⫖↰⪸B9B⇟⨁⪰=⫖↰⪸-1105","layer":3},{"info":"⫖↰⪸4A08⩁⩘⫖↰⪸3145=⫖↰⪸11008","layer":3},{"info":"⫖↰⪸-1105∖⫖↰⪸11008=⫖↰⪸0","layer":2},{"info":"⫖↰⪸11199⨐⩸⫘⫖↰⪸0=⫖↰⪸11199","layer":1},{"info":"+⊝⨔⫖↰⪸11199=⫖↰⪸A6A","layer":0}]}
{"id":92,"expression_no_base_symbol":"((⪡⇡≛$7102$)⫰⋱(∂$1862$))⊕∕(↡(⪭⩑⪱$1239$))↢(↯⪼$6986$)⊮⊟↴($1208$⨳⩥⨓$8163$)⨔⇊($2646$⩚⊴⇥$4828$⊋≦⊧($1054$⩚⊴⇥$1422$))","expression":"((⪡⇡≛⫖↰⪸413A)⫰⋱(∂⫖↰⪸10B2))⊕∕(↡(⪭⩑⪱⫖↰⪸873))↢(↯⪼⫖↰⪸4062)⊮⊟↴(⫖↰⪸848⨳⩥⨓⫖↰⪸4883)⨔⇊(⫖↰⪸1646⩚⊴⇥⫖↰⪸2964⊋≦⊧(⫖↰⪸73A⩚⊴⇥⫖↰⪸9A6))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":114199,"operation_count":14,"complexity_ratio":8157.071428571428,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":7102,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1862,"base":12}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1239,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6986,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1208,"base":12},"right_expr":{"type":"numeric_atoms","value":8163,"base":12}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2646,"base":12},"right_expr":{"type":"numeric_atoms","value":4828,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1054,"base":12},"right_expr":{"type":"numeric_atoms","value":1422,"base":12}}}}},"used_operators":["WR6HLWljOP","9cloC0Ngie","6o9Blt3TJ6","qL4PrbW1Dq","Uaa54Peajs","MXaNJeIAZ3","SIgE0bArFf","JclMnS0uGI","QDVgd2eftb","8jW3W4yZS5","nCS4ZIUYfx","oRDoc9rAEX","NTOWxs364D"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7102","layer":4},{"info":"compute unary expreesion, input=7102, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-7102","layer":3},{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7102, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=74886768","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=74886768, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"number node, value=6986","layer":4},{"info":"compute unary expreesion, input=6986, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1208","layer":4},{"info":"number node, value=8163","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=8163, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6955","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=6955, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=2646","layer":4},{"info":"number node, value=4828","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=4828, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7595","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1422, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2597","layer":3},{"info":"compute binary expreesion, left_input=-7595, right_input=-2597, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=192, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪡⇡≛⫖↰⪸413A)⫰⋱(∂⫖↰⪸10B2))⊕∕(↡(⪭⩑⪱⫖↰⪸873))↢(↯⪼⫖↰⪸4062)⊮⊟↴(⫖↰⪸848⨳⩥⨓⫖↰⪸4883)⨔⇊(⫖↰⪸1646⩚⊴⇥⫖↰⪸2964⊋≦⊧(⫖↰⪸73A⩚⊴⇥⫖↰⪸9A6))=NaN","reverse_text":"NaN=((⪡⇡≛⫖↰⪸413A)⫰⋱(∂⫖↰⪸10B2))⊕∕(↡(⪭⩑⪱⫖↰⪸873))↢(↯⪼⫖↰⪸4062)⊮⊟↴(⫖↰⪸848⨳⩥⨓⫖↰⪸4883)⨔⇊(⫖↰⪸1646⩚⊴⇥⫖↰⪸2964⊋≦⊧(⫖↰⪸73A⩚⊴⇥⫖↰⪸9A6))","cot":[{"info":"⪡⇡≛⫖↰⪸413A=⫖↰⪸-413A","layer":3},{"info":"∂⫖↰⪸10B2=NaN","layer":3},{"info":"⫖↰⪸-413A⫰⋱NaN=NaN","layer":2},{"info":"⪭⩑⪱⫖↰⪸873=⫖↰⪸2953300","layer":3},{"info":"↡⫖↰⪸2953300=⫖↰⪸210B5300","layer":2},{"info":"NaN⊕∕⫖↰⪸210B5300=NaN","layer":1},{"info":"↯⪼⫖↰⪸4062=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸848⨳⩥⨓⫖↰⪸4883=⫖↰⪸4037","layer":3},{"info":"⫖↰⪸-19⊮⊟↴⫖↰⪸4037=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1646⩚⊴⇥⫖↰⪸2964=⫖↰⪸-448B","layer":3},{"info":"⫖↰⪸73A⩚⊴⇥⫖↰⪸9A6=⫖↰⪸-1605","layer":3},{"info":"⫖↰⪸-448B⊋≦⊧⫖↰⪸-1605=⫖↰⪸140","layer":2},{"info":"⫖↰⪸0⨔⇊⫖↰⪸140=⫖↰⪸140","layer":1},{"info":"NaN↢⫖↰⪸140=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"(($6098$⨽$2500$)∳⫺($2559$⪒⊣⊆$7839$))⇻⋧≁($4436$∥⊢⊲$1026$⪁$7816$⨐$1553$)⊊","expression":"((⫖↰⪸3642⨽⫖↰⪸1544)∳⫺(⫖↰⪸1593⪒⊣⊆⫖↰⪸4653))⇻⋧≁(⫖↰⪸2698∥⊢⊲⫖↰⪸716⪁⫖↰⪸4634⨐⫖↰⪸A95)⊊","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22100,"operation_count":8,"complexity_ratio":2762.5,"tree":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6098,"base":12},"right_expr":{"type":"numeric_atoms","value":2500,"base":12}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2559,"base":12},"right_expr":{"type":"numeric_atoms","value":7839,"base":12}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":4436,"base":12},"right_expr":{"type":"numeric_atoms","value":1026,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":7816,"base":12},"right_expr":{"type":"numeric_atoms","value":1553,"base":12}}}}},"used_operators":["W9R8I5fN5A","jCPkEVoL5K","AzXXKTstlj","8HhzD0ZcuI","eRqsBgTDFp","I7sXao9hZE","v1UQAVDJRr","Noe24qw2ks"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","W4YGzv6Whe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","EBcxylXtPf","rGHVDoGpnC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6098","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=6098, right_input=2500, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-111562998","layer":3},{"info":"number node, value=2559","layer":4},{"info":"number node, value=7839","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=7839, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5118","layer":3},{"info":"compute binary expreesion, left_input=-111562998, right_input=5118, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-446262166","layer":2},{"info":"number node, value=4436","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=4436, right_input=1026, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=7816","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=7816, right_input=1553, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-15632","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15632, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-446262166, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3642⨽⫖↰⪸1544)∳⫺(⫖↰⪸1593⪒⊣⊆⫖↰⪸4653))⇻⋧≁(⫖↰⪸2698∥⊢⊲⫖↰⪸716⪁⫖↰⪸4634⨐⫖↰⪸A95)⊊=NaN","reverse_text":"NaN=((⫖↰⪸3642⨽⫖↰⪸1544)∳⫺(⫖↰⪸1593⪒⊣⊆⫖↰⪸4653))⇻⋧≁(⫖↰⪸2698∥⊢⊲⫖↰⪸716⪁⫖↰⪸4634⨐⫖↰⪸A95)⊊","cot":[{"info":"⫖↰⪸3642⨽⫖↰⪸1544=⫖↰⪸-31441B06","layer":3},{"info":"⫖↰⪸1593⪒⊣⊆⫖↰⪸4653=⫖↰⪸2B66","layer":3},{"info":"⫖↰⪸-31441B06∳⫺⫖↰⪸2B66=⫖↰⪸-10555169A","layer":2},{"info":"⫖↰⪸2698∥⊢⊲⫖↰⪸716=NaN","layer":3},{"info":"⫖↰⪸4634⨐⫖↰⪸A95=⫖↰⪸-9068","layer":3},{"info":"NaN⪁⫖↰⪸-9068=NaN","layer":2},{"info":"⫖↰⪸-10555169A⇻⋧≁NaN=NaN","layer":1},{"info":"NaN⊊=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"(⩏⊷≩(↥≼⋛$1713$))⨽∌(($1896$↙$4953$)⩒⫫($3122$≭$1153$))⫳≱↱($3826$⫥∨⫟$6034$)⪥($2608$∙⊟$2862$)+⇶⊼$1127$⪚$2008$↼⊘⨖($1787$∵≐)","expression":"(⩏⊷≩(↥≼⋛⫖↰⪸BA9))⨽∌((⫖↰⪸1120↙⫖↰⪸2A49)⩒⫫(⫖↰⪸1982≭⫖↰⪸801))⫳≱↱(⫖↰⪸226A⫥∨⫟⫖↰⪸35AA)⪥(⫖↰⪸1614∙⊟⫖↰⪸17A6)+⇶⊼⫖↰⪸79B⪚⫖↰⪸11B4↼⊘⨖(⫖↰⪸104B∵≐)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8003,"operation_count":14,"complexity_ratio":571.6428571428571,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1713,"base":12}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1896,"base":12},"right_expr":{"type":"numeric_atoms","value":4953,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3122,"base":12},"right_expr":{"type":"numeric_atoms","value":1153,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3826,"base":12},"right_expr":{"type":"numeric_atoms","value":6034,"base":12}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2608,"base":12},"right_expr":{"type":"numeric_atoms","value":2862,"base":12}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1127,"base":12},"right_expr":{"type":"numeric_atoms","value":2008,"base":12}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":1787,"base":12}}}}},"used_operators":["ZvLB05nZmT","9samAPKr6k","uOZ1tnYMDE","x5lMkHmzsq","KFSx94NKJn","yyfyN0ffXY","rxpJgHHUmx","TpPTUOHfaN","QbnwKVWMIQ","KYD54nUTWz","SxTAKzQCrw","bPywburJMS","HrjLwUk87U","59igzFyhWz"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","23Mk6UjR3U","12rbrZMWeM","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","AHs5Up7iyr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","8HhzD0ZcuI","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"⫖↰⪸-150","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1713","layer":4},{"info":"compute unary expreesion, input=1713, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1066","layer":2},{"info":"number node, value=1896","layer":4},{"info":"number node, value=4953","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=4953, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14859","layer":3},{"info":"number node, value=3122","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=1153, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14859, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1066, right_input=160, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=3826","layer":4},{"info":"number node, value=6034","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=6034, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=2862, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=43750","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=43750, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"number node, value=1127","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=2008, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2118","layer":3},{"info":"number node, value=1787","layer":4},{"info":"compute unary expreesion, input=1787, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=841","layer":3},{"info":"compute binary expreesion, left_input=-2118, right_input=841, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1460","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1460, 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=0, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":12,"result_base":12,"text":"(⩏⊷≩(↥≼⋛⫖↰⪸BA9))⨽∌((⫖↰⪸1120↙⫖↰⪸2A49)⩒⫫(⫖↰⪸1982≭⫖↰⪸801))⫳≱↱(⫖↰⪸226A⫥∨⫟⫖↰⪸35AA)⪥(⫖↰⪸1614∙⊟⫖↰⪸17A6)+⇶⊼⫖↰⪸79B⪚⫖↰⪸11B4↼⊘⨖(⫖↰⪸104B∵≐)=⫖↰⪸-150","reverse_text":"⫖↰⪸-150=(⩏⊷≩(↥≼⋛⫖↰⪸BA9))⨽∌((⫖↰⪸1120↙⫖↰⪸2A49)⩒⫫(⫖↰⪸1982≭⫖↰⪸801))⫳≱↱(⫖↰⪸226A⫥∨⫟⫖↰⪸35AA)⪥(⫖↰⪸1614∙⊟⫖↰⪸17A6)+⇶⊼⫖↰⪸79B⪚⫖↰⪸11B4↼⊘⨖(⫖↰⪸104B∵≐)","cot":[{"info":"↥≼⋛⫖↰⪸BA9=⫖↰⪸-95","layer":3},{"info":"⩏⊷≩⫖↰⪸-95=⫖↰⪸74A","layer":2},{"info":"⫖↰⪸1120↙⫖↰⪸2A49=⫖↰⪸-8723","layer":3},{"info":"⫖↰⪸1982≭⫖↰⪸801=NaN","layer":3},{"info":"⫖↰⪸-8723⩒⫫NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸74A⨽∌⫖↰⪸114=⫖↰⪸0","layer":1},{"info":"⫖↰⪸226A⫥∨⫟⫖↰⪸35AA=NaN","layer":3},{"info":"⫖↰⪸1614∙⊟⫖↰⪸17A6=⫖↰⪸2139A","layer":3},{"info":"NaN⪥⫖↰⪸2139A=NaN","layer":2},{"info":"⫖↰⪸79B⪚⫖↰⪸11B4=⫖↰⪸-1286","layer":3},{"info":"⫖↰⪸104B∵≐=⫖↰⪸5A1","layer":3},{"info":"⫖↰⪸-1286↼⊘⨖⫖↰⪸5A1=⫖↰⪸A18","layer":2},{"info":"NaN+⇶⊼⫖↰⪸A18=NaN","layer":1},{"info":"⫖↰⪸0⫳≱↱NaN=⫖↰⪸-150","layer":0}]}
{"id":95,"expression_no_base_symbol":"((($1085$⋩≍≻)⫠↝⫳)≎⊠⪸($2829$⋾⨃∁$1012$)≁↽≥($5524$≁↽≥$4529$))≦≮≮","expression":"(((⫖↰⪸765⋩≍≻)⫠↝⫳)≎⊠⪸(⫖↰⪸1779⋾⨃∁⫖↰⪸704)≁↽≥(⫖↰⪸3244≁↽≥⫖↰⪸2755))≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1391,"operation_count":7,"complexity_ratio":198.71428571428572,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1085,"base":12}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2829,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5524,"base":12},"right_expr":{"type":"numeric_atoms","value":4529,"base":12}}}}},"used_operators":["D4vGDi5EA2","bJkvcejdHO","8n5YIzOsVS","WYd1w68Nbz","ncHt1X6cMc","212REbPD9h"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⫖↰⪸-367309","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-1137","layer":2},{"info":"number node, value=2829","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=1012, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10229202","layer":3},{"info":"number node, value=5524","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=5524, right_input=4529, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=72598","layer":3},{"info":"compute binary expreesion, left_input=10229202, right_input=72598, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=132844274","layer":2},{"info":"compute binary expreesion, left_input=-1137, right_input=132844274, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=294483","layer":1},{"info":"compute unary expreesion, input=294483, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-883449","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸765⋩≍≻)⫠↝⫳)≎⊠⪸(⫖↰⪸1779⋾⨃∁⫖↰⪸704)≁↽≥(⫖↰⪸3244≁↽≥⫖↰⪸2755))≦≮≮=⫖↰⪸-367309","reverse_text":"⫖↰⪸-367309=(((⫖↰⪸765⋩≍≻)⫠↝⫳)≎⊠⪸(⫖↰⪸1779⋾⨃∁⫖↰⪸704)≁↽≥(⫖↰⪸3244≁↽≥⫖↰⪸2755))≦≮≮","cot":[{"info":"⫖↰⪸765⋩≍≻=⫖↰⪸-47","layer":3},{"info":"⫖↰⪸-47⫠↝⫳=⫖↰⪸-7A9","layer":2},{"info":"⫖↰⪸1779⋾⨃∁⫖↰⪸704=⫖↰⪸3513816","layer":3},{"info":"⫖↰⪸3244≁↽≥⫖↰⪸2755=⫖↰⪸3601A","layer":3},{"info":"⫖↰⪸3513816≁↽≥⫖↰⪸3601A=⫖↰⪸385A5582","layer":2},{"info":"⫖↰⪸-7A9≎⊠⪸⫖↰⪸385A5582=⫖↰⪸122503","layer":1},{"info":"⫖↰⪸122503≦≮≮=⫖↰⪸-367309","layer":0}]}
{"id":96,"expression_no_base_symbol":"($1937$⫰⋱$1944$⩹($2934$⊢))⇌⫙⪟($3188$↞⋁$3031$⊾⪯⋞$1397$≳⇉$3072$)⫸⊐(⇺⋃(≻⋜($1764$⩺⋐⫨)))","expression":"(⫖↰⪸1155⫰⋱⫖↰⪸1160⩹(⫖↰⪸1846⊢))⇌⫙⪟(⫖↰⪸1A18↞⋁⫖↰⪸1907⊾⪯⋞⫖↰⪸985≳⇉⫖↰⪸1940)⫸⊐(⇺⋃(≻⋜(⫖↰⪸1030⩺⋐⫨)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":146699180,"operation_count":11,"complexity_ratio":13336289.090909092,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1937,"base":12},"right_expr":{"type":"numeric_atoms","value":1944,"base":12}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2934,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3188,"base":12},"right_expr":{"type":"numeric_atoms","value":3031,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1397,"base":12},"right_expr":{"type":"numeric_atoms","value":3072,"base":12}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1764,"base":12}}}}},"used_operators":["mqXw5SEYmG","AFVx7xoS7T","2Wsdkap16l","6o9Blt3TJ6","40aOVDgCDB","HK0tfVPux8","RqrPlJkxDo","V0kx6qeWkN","E5v5B3UAjG","3tj9sqzovi","yS9ePUuUdn"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1937","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=1944, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1904","layer":3},{"info":"number node, value=2934","layer":4},{"info":"compute unary expreesion, input=2934, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3181","layer":3},{"info":"compute binary expreesion, left_input=-1904, right_input=-3181, 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=-3183","layer":2},{"info":"number node, value=3188","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=3031, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=3072, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3183, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=1764","layer":4},{"info":"compute unary expreesion, input=1764, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=169","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=169, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1155⫰⋱⫖↰⪸1160⩹(⫖↰⪸1846⊢))⇌⫙⪟(⫖↰⪸1A18↞⋁⫖↰⪸1907⊾⪯⋞⫖↰⪸985≳⇉⫖↰⪸1940)⫸⊐(⇺⋃(≻⋜(⫖↰⪸1030⩺⋐⫨)))=NaN","reverse_text":"NaN=(⫖↰⪸1155⫰⋱⫖↰⪸1160⩹(⫖↰⪸1846⊢))⇌⫙⪟(⫖↰⪸1A18↞⋁⫖↰⪸1907⊾⪯⋞⫖↰⪸985≳⇉⫖↰⪸1940)⫸⊐(⇺⋃(≻⋜(⫖↰⪸1030⩺⋐⫨)))","cot":[{"info":"⫖↰⪸1155⫰⋱⫖↰⪸1160=⫖↰⪸-1128","layer":3},{"info":"⫖↰⪸1846⊢=⫖↰⪸-1A11","layer":3},{"info":"⫖↰⪸-1128⩹⫖↰⪸-1A11=⫖↰⪸-1A13","layer":2},{"info":"⫖↰⪸1A18↞⋁⫖↰⪸1907=NaN","layer":3},{"info":"⫖↰⪸985≳⇉⫖↰⪸1940=NaN","layer":3},{"info":"NaN⊾⪯⋞NaN=NaN","layer":2},{"info":"⫖↰⪸-1A13⇌⫙⪟NaN=NaN","layer":1},{"info":"⫖↰⪸1030⩺⋐⫨=⫖↰⪸0","layer":3},{"info":"≻⋜⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⇺⋃⫖↰⪸0=⫖↰⪸121","layer":1},{"info":"NaN⫸⊐⫖↰⪸121=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"(≸≮($5288$⇩))⊴($4180$⪭$2604$)⫁⪎($1743$⇍⊗$4368$)⫦⪉(($6700$⩁)⪭$4131$⪢$3343$)⪚($2521$⫘$2861$)∓⋝($3726$∀⇚≩$1022$)","expression":"(≸≮(⫖↰⪸3088⇩))⊴(⫖↰⪸2504⪭⫖↰⪸1610)⫁⪎(⫖↰⪸1013⇍⊗⫖↰⪸2640)⫦⪉((⫖↰⪸3A64⩁)⪭⫖↰⪸2483⪢⫖↰⪸1B27)⪚(⫖↰⪸1561⫘⫖↰⪸17A5)∓⋝(⫖↰⪸21A6∀⇚≩⫖↰⪸712)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51830,"operation_count":14,"complexity_ratio":3702.1428571428573,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":5288,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4180,"base":12},"right_expr":{"type":"numeric_atoms","value":2604,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1743,"base":12},"right_expr":{"type":"numeric_atoms","value":4368,"base":12}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":6700,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4131,"base":12},"right_expr":{"type":"numeric_atoms","value":3343,"base":12}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2521,"base":12},"right_expr":{"type":"numeric_atoms","value":2861,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3726,"base":12},"right_expr":{"type":"numeric_atoms","value":1022,"base":12}}}}},"used_operators":["wscyQdcy20","Nsiff2A1zJ","AljMvE3RRm","vRio1gEz1j","xRrnTEsQ6j","j9kHMeSvPp","5uvYHDjeKN","HrjLwUk87U","5GqDbVmqXU","dWAJyo7jo9","PoHhknlbAi","48vC8HMD2b","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","dWAJyo7jo9","14qkJME0vr","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5288","layer":4},{"info":"compute unary expreesion, input=5288, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=5381","layer":3},{"info":"compute unary expreesion, input=5381, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"number node, value=4180","layer":4},{"info":"number node, value=2604","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=2604, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1743","layer":4},{"info":"number node, value=4368","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=4368, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-244, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=249","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=249, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6700","layer":4},{"info":"compute unary expreesion, input=6700, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-50820","layer":3},{"info":"number node, value=4131","layer":4},{"info":"number node, value=3343","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=3343, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-50820, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=50646","layer":2},{"info":"number node, value=2521","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=2861, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2969101","layer":3},{"info":"number node, value=3726","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=1022, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2969101, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=50646, right_input=67, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=100802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=100802, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≸≮(⫖↰⪸3088⇩))⊴(⫖↰⪸2504⪭⫖↰⪸1610)⫁⪎(⫖↰⪸1013⇍⊗⫖↰⪸2640)⫦⪉((⫖↰⪸3A64⩁)⪭⫖↰⪸2483⪢⫖↰⪸1B27)⪚(⫖↰⪸1561⫘⫖↰⪸17A5)∓⋝(⫖↰⪸21A6∀⇚≩⫖↰⪸712)=NaN","reverse_text":"NaN=(≸≮(⫖↰⪸3088⇩))⊴(⫖↰⪸2504⪭⫖↰⪸1610)⫁⪎(⫖↰⪸1013⇍⊗⫖↰⪸2640)⫦⪉((⫖↰⪸3A64⩁)⪭⫖↰⪸2483⪢⫖↰⪸1B27)⪚(⫖↰⪸1561⫘⫖↰⪸17A5)∓⋝(⫖↰⪸21A6∀⇚≩⫖↰⪸712)","cot":[{"info":"⫖↰⪸3088⇩=⫖↰⪸3145","layer":3},{"info":"≸≮⫖↰⪸3145=NaN","layer":2},{"info":"⫖↰⪸2504⪭⫖↰⪸1610=⫖↰⪸5","layer":3},{"info":"⫖↰⪸1013⇍⊗⫖↰⪸2640=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸5⫁⪎⫖↰⪸-184=⫖↰⪸189","layer":2},{"info":"NaN⊴⫖↰⪸189=NaN","layer":1},{"info":"⫖↰⪸3A64⩁=⫖↰⪸-254B0","layer":3},{"info":"⫖↰⪸2483⪢⫖↰⪸1B27=NaN","layer":3},{"info":"⫖↰⪸-254B0⪭NaN=⫖↰⪸25386","layer":2},{"info":"⫖↰⪸1561⫘⫖↰⪸17A5=⫖↰⪸BB2291","layer":3},{"info":"⫖↰⪸21A6∀⇚≩⫖↰⪸712=NaN","layer":3},{"info":"⫖↰⪸BB2291∓⋝NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸25386⪚⫖↰⪸57=⫖↰⪸4A402","layer":1},{"info":"NaN⫦⪉⫖↰⪸4A402=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"(≻⋜($6659$-$8005$))⩌⋺($2627$⨥⫆$2643$/(∓⪦$1106$))≹⇙⪍((⊙↵-($2757$≭$3103$))⪥(⊙↵-($6101$⇣⩺⋵$3626$)))","expression":"(≻⋜(⫖↰⪸3A2B-⫖↰⪸4771))⩌⋺(⫖↰⪸162B⨥⫆⫖↰⪸1643/(∓⪦⫖↰⪸782))≹⇙⪍((⊙↵-(⫖↰⪸1719≭⫖↰⪸1967))⪥(⊙↵-(⫖↰⪸3645⇣⩺⋵⫖↰⪸2122)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23201,"operation_count":12,"complexity_ratio":1933.4166666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6659,"base":12},"right_expr":{"type":"numeric_atoms","value":8005,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2627,"base":12},"right_expr":{"type":"numeric_atoms","value":2643,"base":12}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1106,"base":12}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2757,"base":12},"right_expr":{"type":"numeric_atoms","value":3103,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6101,"base":12},"right_expr":{"type":"numeric_atoms","value":3626,"base":12}}}}},"used_operators":["AHs5Up7iyr","g7Hmc5v1ko","3tj9sqzovi","rysDP5nf3Z","XhwjNDsVaA","yXekIHxTD4","D309nIvmXG","QbnwKVWMIQ","oWn0xqSxBt","rxpJgHHUmx","F4yD0voBRQ"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6659","layer":4},{"info":"number node, value=8005","layer":4},{"info":"compute binary expreesion, left_input=6659, right_input=8005, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1346","layer":3},{"info":"compute unary expreesion, input=-1346, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=2627","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=2643, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5162","layer":3},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=698","layer":3},{"info":"compute binary expreesion, left_input=5162, right_input=698, op_id = XhwjNDsVaA binary_op_definition= 'None', output=7","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=2757","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=3103, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=6101","layer":4},{"info":"number node, value=3626","layer":4},{"info":"compute binary expreesion, left_input=6101, right_input=3626, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≻⋜(⫖↰⪸3A2B-⫖↰⪸4771))⩌⋺(⫖↰⪸162B⨥⫆⫖↰⪸1643/(∓⪦⫖↰⪸782))≹⇙⪍((⊙↵-(⫖↰⪸1719≭⫖↰⪸1967))⪥(⊙↵-(⫖↰⪸3645⇣⩺⋵⫖↰⪸2122)))=NaN","reverse_text":"NaN=(≻⋜(⫖↰⪸3A2B-⫖↰⪸4771))⩌⋺(⫖↰⪸162B⨥⫆⫖↰⪸1643/(∓⪦⫖↰⪸782))≹⇙⪍((⊙↵-(⫖↰⪸1719≭⫖↰⪸1967))⪥(⊙↵-(⫖↰⪸3645⇣⩺⋵⫖↰⪸2122)))","cot":[{"info":"⫖↰⪸3A2B-⫖↰⪸4771=⫖↰⪸-942","layer":3},{"info":"≻⋜⫖↰⪸-942=NaN","layer":2},{"info":"⫖↰⪸162B⨥⫆⫖↰⪸1643=⫖↰⪸2BA2","layer":3},{"info":"∓⪦⫖↰⪸782=⫖↰⪸4A2","layer":3},{"info":"⫖↰⪸2BA2/⫖↰⪸4A2=⫖↰⪸7","layer":2},{"info":"NaN⩌⋺⫖↰⪸7=NaN","layer":1},{"info":"⫖↰⪸1719≭⫖↰⪸1967=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫖↰⪸3645⇣⩺⋵⫖↰⪸2122=⫖↰⪸-198","layer":3},{"info":"⊙↵-⫖↰⪸-198=⫖↰⪸0","layer":2},{"info":"NaN⪥⫖↰⪸0=⫖↰⪸-98","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸-98=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"(($1828$⫯⪬∳$2230$⨓($1007$↸$3645$))⪪($5513$≚⊃≕$1164$⊔$7991$∣$2794$))⨽∌(≉(⨩∲⋌$2596$)↤⩊($2519$⪭≯$5276$))","expression":"((⫖↰⪸1084⫯⪬∳⫖↰⪸135A⨓(⫖↰⪸6BB↸⫖↰⪸2139))⪪(⫖↰⪸3235≚⊃≕⫖↰⪸810⊔⫖↰⪸475B∣⫖↰⪸174A))⨽∌(≉(⨩∲⋌⫖↰⪸1604)↤⩊(⫖↰⪸155B⪭≯⫖↰⪸3078))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2834,"operation_count":12,"complexity_ratio":236.16666666666666,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1828,"base":12},"right_expr":{"type":"numeric_atoms","value":2230,"base":12}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":3645,"base":12}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":5513,"base":12},"right_expr":{"type":"numeric_atoms","value":1164,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":7991,"base":12},"right_expr":{"type":"numeric_atoms","value":2794,"base":12}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2596,"base":12}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2519,"base":12},"right_expr":{"type":"numeric_atoms","value":5276,"base":12}}}}},"used_operators":["9samAPKr6k","xD69zh8xqp","3ViojmjbAp","d7ASUq0ydm","1eCjFl0mb9","E4l6HwMY31","Bmrmz2XGnR","PPChnnnBFF","e1ybzncUwg","13rbtpv6ld","aSik1wnThz","XAx5wpdLa6"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","FU0Cs4j7VP","JclMnS0uGI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1828","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=2230, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6943","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=3645, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1007","layer":3},{"info":"compute binary expreesion, left_input=6943, right_input=1007, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1010","layer":2},{"info":"number node, value=5513","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=5513, right_input=1164, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=7991","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=7991, right_input=2794, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=7991","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=7991, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=37689","layer":2},{"info":"compute binary expreesion, left_input=-1010, right_input=37689, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3119","layer":3},{"info":"number node, value=2519","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=5276, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3119, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6206, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1084⫯⪬∳⫖↰⪸135A⨓(⫖↰⪸6BB↸⫖↰⪸2139))⪪(⫖↰⪸3235≚⊃≕⫖↰⪸810⊔⫖↰⪸475B∣⫖↰⪸174A))⨽∌(≉(⨩∲⋌⫖↰⪸1604)↤⩊(⫖↰⪸155B⪭≯⫖↰⪸3078))=NaN","reverse_text":"NaN=((⫖↰⪸1084⫯⪬∳⫖↰⪸135A⨓(⫖↰⪸6BB↸⫖↰⪸2139))⪪(⫖↰⪸3235≚⊃≕⫖↰⪸810⊔⫖↰⪸475B∣⫖↰⪸174A))⨽∌(≉(⨩∲⋌⫖↰⪸1604)↤⩊(⫖↰⪸155B⪭≯⫖↰⪸3078))","cot":[{"info":"⫖↰⪸1084⫯⪬∳⫖↰⪸135A=⫖↰⪸4027","layer":3},{"info":"⫖↰⪸6BB↸⫖↰⪸2139=⫖↰⪸6BB","layer":3},{"info":"⫖↰⪸4027⨓⫖↰⪸6BB=⫖↰⪸-702","layer":2},{"info":"⫖↰⪸3235≚⊃≕⫖↰⪸810=⫖↰⪸57","layer":3},{"info":"⫖↰⪸475B∣⫖↰⪸174A=⫖↰⪸475B","layer":3},{"info":"⫖↰⪸57⊔⫖↰⪸475B=⫖↰⪸19989","layer":2},{"info":"⫖↰⪸-702⪪⫖↰⪸19989=⫖↰⪸-3712","layer":1},{"info":"⨩∲⋌⫖↰⪸1604=⫖↰⪸-197B","layer":3},{"info":"⫖↰⪸155B⪭≯⫖↰⪸3078=NaN","layer":3},{"info":"⫖↰⪸-197B↤⩊NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫖↰⪸-3712⨽∌NaN=NaN","layer":0}]}
{"id":100,"expression_no_base_symbol":"((⩦⩻⨪$3790$⊕∕$1503$)≌(($2318$⊨$1514$)∊∟⩊($3503$⊬⫿⊭)))⪝((∐⩳⋚($1090$⫸⊐$2574$))⇄((↘$4469$)-$7300$⊨$6097$))","expression":"((⩦⩻⨪⫖↰⪸223A⊕∕⫖↰⪸A53)≌((⫖↰⪸1412⊨⫖↰⪸A62)∊∟⩊(⫖↰⪸203B⊬⫿⊭)))⪝((∐⩳⋚(⫖↰⪸76A⫸⊐⫖↰⪸15A6))⇄((↘⫖↰⪸2705)-⫖↰⪸4284⊨⫖↰⪸3641))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11692,"operation_count":13,"complexity_ratio":899.3846153846154,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3790,"base":12},"right_expr":{"type":"numeric_atoms","value":1503,"base":12}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2318,"base":12},"right_expr":{"type":"numeric_atoms","value":1514,"base":12}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":3503,"base":12}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1090,"base":12},"right_expr":{"type":"numeric_atoms","value":2574,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4469,"base":12}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":7300,"base":12},"right_expr":{"type":"numeric_atoms","value":6097,"base":12}}}}},"used_operators":["wicAB68Tmb","lyWz822IDG","2td37pGCOC","9cloC0Ngie","ddLRYrp01A","vg4gO5BX6G","v0DYgG9ikt","3EYGwJThht","SL6IHkK8vl","mqXw5SEYmG","rysDP5nf3Z","LdNpr8hQHL"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3790","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=1503, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3790","layer":3},{"info":"compute unary expreesion, input=3790, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3790","layer":2},{"info":"number node, value=2318","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=1514, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10303","layer":3},{"info":"number node, value=3503","layer":4},{"info":"compute unary expreesion, input=3503, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-10509","layer":3},{"info":"compute binary expreesion, left_input=10303, right_input=-10509, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-10509","layer":2},{"info":"compute binary expreesion, left_input=3790, right_input=-10509, 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=1090","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=2574, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10171","layer":3},{"info":"compute unary expreesion, input=10171, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1517438","layer":2},{"info":"number node, value=4469","layer":4},{"info":"compute unary expreesion, input=4469, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=157","layer":3},{"info":"number node, value=7300","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=7300, right_input=6097, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=30231","layer":3},{"info":"compute binary expreesion, left_input=157, right_input=30231, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-30074","layer":2},{"info":"compute binary expreesion, left_input=1517438, right_input=-30074, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⩦⩻⨪⫖↰⪸223A⊕∕⫖↰⪸A53)≌((⫖↰⪸1412⊨⫖↰⪸A62)∊∟⩊(⫖↰⪸203B⊬⫿⊭)))⪝((∐⩳⋚(⫖↰⪸76A⫸⊐⫖↰⪸15A6))⇄((↘⫖↰⪸2705)-⫖↰⪸4284⊨⫖↰⪸3641))=NaN","reverse_text":"NaN=((⩦⩻⨪⫖↰⪸223A⊕∕⫖↰⪸A53)≌((⫖↰⪸1412⊨⫖↰⪸A62)∊∟⩊(⫖↰⪸203B⊬⫿⊭)))⪝((∐⩳⋚(⫖↰⪸76A⫸⊐⫖↰⪸15A6))⇄((↘⫖↰⪸2705)-⫖↰⪸4284⊨⫖↰⪸3641))","cot":[{"info":"⫖↰⪸223A⊕∕⫖↰⪸A53=⫖↰⪸223A","layer":3},{"info":"⩦⩻⨪⫖↰⪸223A=⫖↰⪸223A","layer":2},{"info":"⫖↰⪸1412⊨⫖↰⪸A62=⫖↰⪸5B67","layer":3},{"info":"⫖↰⪸203B⊬⫿⊭=⫖↰⪸-60B9","layer":3},{"info":"⫖↰⪸5B67∊∟⩊⫖↰⪸-60B9=⫖↰⪸-60B9","layer":2},{"info":"⫖↰⪸223A≌⫖↰⪸-60B9=NaN","layer":1},{"info":"⫖↰⪸76A⫸⊐⫖↰⪸15A6=⫖↰⪸5A77","layer":3},{"info":"∐⩳⋚⫖↰⪸5A77=⫖↰⪸612192","layer":2},{"info":"↘⫖↰⪸2705=⫖↰⪸111","layer":3},{"info":"⫖↰⪸4284⊨⫖↰⪸3641=⫖↰⪸155B3","layer":3},{"info":"⫖↰⪸111-⫖↰⪸155B3=⫖↰⪸-154A2","layer":2},{"info":"⫖↰⪸612192⇄⫖↰⪸-154A2=⫖↰⪸0","layer":1},{"info":"NaN⪝⫖↰⪸0=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"(($2010$⨓$3477$⪉⨛$9298$≴⪞⇿$1036$)⊀⩕)⩣⫁∢((($6993$⨲)∠↢$6864$≭$1984$)⨚⇆(⋎⨆(⪛⨧$2778$)))","expression":"((⫖↰⪸11B6⨓⫖↰⪸2019⪉⨛⫖↰⪸546A≴⪞⇿⫖↰⪸724)⊀⩕)⩣⫁∢(((⫖↰⪸4069⨲)∠↢⫖↰⪸3B80≭⫖↰⪸1194)⨚⇆(⋎⨆(⪛⨧⫖↰⪸1736)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15510,"operation_count":11,"complexity_ratio":1410.0,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2010,"base":12},"right_expr":{"type":"numeric_atoms","value":3477,"base":12}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":9298,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":6993,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6864,"base":12},"right_expr":{"type":"numeric_atoms","value":1984,"base":12}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2778,"base":12}}}}},"used_operators":["JDUIKTTSIa","r0FS3hW4cC","EWw2JM7wp4","3ViojmjbAp","lvlrscuwVU","lwHaAYXP2r","KbjG8mgYpV","nLYMGWM7L8","rxpJgHHUmx","E64sFOc4tB","6NJAcO2OWT"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rGHVDoGpnC","nhYeJWJD5X","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","AHs5Up7iyr","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2010","layer":4},{"info":"number node, value=3477","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=3477, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3480","layer":3},{"info":"number node, value=9298","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=9298, right_input=1036, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=162901484","layer":3},{"info":"compute binary expreesion, left_input=-3480, right_input=162901484, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-488714677","layer":2},{"info":"compute unary expreesion, input=-488714677, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":1},{"info":"number node, value=6993","layer":4},{"info":"compute unary expreesion, input=6993, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":3},{"info":"number node, value=6864","layer":4},{"info":"number node, value=1984","layer":4},{"info":"compute binary expreesion, left_input=6864, right_input=1984, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=2778","layer":4},{"info":"compute unary expreesion, input=2778, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6957","layer":3},{"info":"compute unary expreesion, input=6957, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸11B6⨓⫖↰⪸2019⪉⨛⫖↰⪸546A≴⪞⇿⫖↰⪸724)⊀⩕)⩣⫁∢(((⫖↰⪸4069⨲)∠↢⫖↰⪸3B80≭⫖↰⪸1194)⨚⇆(⋎⨆(⪛⨧⫖↰⪸1736)))=NaN","reverse_text":"NaN=((⫖↰⪸11B6⨓⫖↰⪸2019⪉⨛⫖↰⪸546A≴⪞⇿⫖↰⪸724)⊀⩕)⩣⫁∢(((⫖↰⪸4069⨲)∠↢⫖↰⪸3B80≭⫖↰⪸1194)⨚⇆(⋎⨆(⪛⨧⫖↰⪸1736)))","cot":[{"info":"⫖↰⪸11B6⨓⫖↰⪸2019=⫖↰⪸-2020","layer":3},{"info":"⫖↰⪸546A≴⪞⇿⫖↰⪸724=⫖↰⪸4667B838","layer":3},{"info":"⫖↰⪸-2020⪉⨛⫖↰⪸4667B838=⫖↰⪸-117804BB1","layer":2},{"info":"⫖↰⪸-117804BB1⊀⩕=NaN","layer":1},{"info":"⫖↰⪸4069⨲=NaN","layer":3},{"info":"⫖↰⪸3B80≭⫖↰⪸1194=NaN","layer":3},{"info":"NaN∠↢NaN=NaN","layer":2},{"info":"⪛⨧⫖↰⪸1736=⫖↰⪸4039","layer":3},{"info":"⋎⨆⫖↰⪸4039=⫖↰⪸0","layer":2},{"info":"NaN⨚⇆⫖↰⪸0=NaN","layer":1},{"info":"NaN⩣⫁∢NaN=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"((≉$8912$)⨥⫆($1335$↓$1384$)∧)≝⊿(($1843$≒∊$4066$⇄$1121$≀⫉$1076$)≄⊠($2677$⨹)≨($5721$⫉⨲⊜$1889$))","expression":"((≉⫖↰⪸51A8)⨥⫆(⫖↰⪸933↓⫖↰⪸974)∧)≝⊿((⫖↰⪸1097≒∊⫖↰⪸242A⇄⫖↰⪸795≀⫉⫖↰⪸758)≄⊠(⫖↰⪸1671⨹)≨(⫖↰⪸3389⫉⨲⊜⫖↰⪸1115))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23256,"operation_count":12,"complexity_ratio":1938.0,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":8912,"base":12}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1335,"base":12},"right_expr":{"type":"numeric_atoms","value":1384,"base":12}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1843,"base":12},"right_expr":{"type":"numeric_atoms","value":4066,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1121,"base":12},"right_expr":{"type":"numeric_atoms","value":1076,"base":12}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2677,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5721,"base":12},"right_expr":{"type":"numeric_atoms","value":1889,"base":12}}}}},"used_operators":["OKKcZfAt5B","z63VuFQld9","yXekIHxTD4","e1ybzncUwg","Af076pWI7l","vXNesLlMH1","3EYGwJThht","5KTvxBwnZo","oZj3VtZNQx","0KMCeP1Jsh","UnCoSGIALn","WhqkvtTD3t"],"dependent_operators":["12rbrZMWeM","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","mp7IySMOzn","eewbuw0ToL","zVYPLywUTj"],"result":"⫖↰⪸-2065","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8912","layer":4},{"info":"compute unary expreesion, input=8912, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9443","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1384, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=9443, right_input=-134, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1692","layer":2},{"info":"compute unary expreesion, input=-1692, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=1843","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=4066, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1359","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1076, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-1359, right_input=2822, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-2338","layer":2},{"info":"number node, value=2677","layer":4},{"info":"compute unary expreesion, input=2677, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=5354","layer":3},{"info":"number node, value=5721","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=5721, right_input=1889, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5354, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-51064","layer":2},{"info":"compute binary expreesion, left_input=-2338, right_input=-51064, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1500, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-3533","layer":0}],"base":12,"result_base":12,"text":"((≉⫖↰⪸51A8)⨥⫆(⫖↰⪸933↓⫖↰⪸974)∧)≝⊿((⫖↰⪸1097≒∊⫖↰⪸242A⇄⫖↰⪸795≀⫉⫖↰⪸758)≄⊠(⫖↰⪸1671⨹)≨(⫖↰⪸3389⫉⨲⊜⫖↰⪸1115))=⫖↰⪸-2065","reverse_text":"⫖↰⪸-2065=((≉⫖↰⪸51A8)⨥⫆(⫖↰⪸933↓⫖↰⪸974)∧)≝⊿((⫖↰⪸1097≒∊⫖↰⪸242A⇄⫖↰⪸795≀⫉⫖↰⪸758)≄⊠(⫖↰⪸1671⨹)≨(⫖↰⪸3389⫉⨲⊜⫖↰⪸1115))","cot":[{"info":"≉⫖↰⪸51A8=⫖↰⪸556B","layer":3},{"info":"⫖↰⪸933↓⫖↰⪸974=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸556B⨥⫆⫖↰⪸-B2=⫖↰⪸-B90","layer":2},{"info":"⫖↰⪸-B90∧=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1097≒∊⫖↰⪸242A=⫖↰⪸-953","layer":3},{"info":"⫖↰⪸795≀⫉⫖↰⪸758=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸-953⇄⫖↰⪸1772=⫖↰⪸-142A","layer":2},{"info":"⫖↰⪸1671⨹=⫖↰⪸3122","layer":3},{"info":"⫖↰⪸3389⫉⨲⊜⫖↰⪸1115=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3122≨⫖↰⪸0=⫖↰⪸-25674","layer":2},{"info":"⫖↰⪸-142A≄⊠⫖↰⪸-25674=⫖↰⪸A50","layer":1},{"info":"⫖↰⪸0≝⊿⫖↰⪸A50=⫖↰⪸-2065","layer":0}]}
{"id":103,"expression_no_base_symbol":"⨦⪝($5156$↤⩊$1763$⩵∡($2981$↺$8003$)⫳≱↱$6057$⇍⊗$1872$⪉⨛$4775$↙$4448$)","expression":"⨦⪝(⫖↰⪸2B98↤⩊⫖↰⪸102B⩵∡(⫖↰⪸1885↺⫖↰⪸476B)⫳≱↱⫖↰⪸3609⇍⊗⫖↰⪸1100⪉⨛⫖↰⪸291B↙⫖↰⪸26A8)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4777,"operation_count":8,"complexity_ratio":597.125,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5156,"base":12},"right_expr":{"type":"numeric_atoms","value":1763,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2981,"base":12},"right_expr":{"type":"numeric_atoms","value":8003,"base":12}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":6057,"base":12},"right_expr":{"type":"numeric_atoms","value":1872,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4775,"base":12},"right_expr":{"type":"numeric_atoms","value":4448,"base":12}}}}},"used_operators":["SUjycxNXIR","ZvLB05nZmT","Y7wcNGrDQJ","13rbtpv6ld","7j4O788W3g","EWw2JM7wp4","5uvYHDjeKN","yyfyN0ffXY"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸-1110","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5156","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=5156, right_input=1763, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2981","layer":4},{"info":"number node, value=8003","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=8003, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8003","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8003, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=6057","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=6057, right_input=1872, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=4775","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=4775, right_input=4448, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13344","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-13344, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=39515","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=39515, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":12,"result_base":12,"text":"⨦⪝(⫖↰⪸2B98↤⩊⫖↰⪸102B⩵∡(⫖↰⪸1885↺⫖↰⪸476B)⫳≱↱⫖↰⪸3609⇍⊗⫖↰⪸1100⪉⨛⫖↰⪸291B↙⫖↰⪸26A8)=⫖↰⪸-1110","reverse_text":"⫖↰⪸-1110=⨦⪝(⫖↰⪸2B98↤⩊⫖↰⪸102B⩵∡(⫖↰⪸1885↺⫖↰⪸476B)⫳≱↱⫖↰⪸3609⇍⊗⫖↰⪸1100⪉⨛⫖↰⪸291B↙⫖↰⪸26A8)","cot":[{"info":"⫖↰⪸2B98↤⩊⫖↰⪸102B=NaN","layer":3},{"info":"⫖↰⪸1885↺⫖↰⪸476B=⫖↰⪸476B","layer":3},{"info":"NaN⩵∡⫖↰⪸476B=NaN","layer":2},{"info":"⫖↰⪸3609⇍⊗⫖↰⪸1100=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸291B↙⫖↰⪸26A8=⫖↰⪸-7880","layer":3},{"info":"⫖↰⪸-184⪉⨛⫖↰⪸-7880=⫖↰⪸1AA4B","layer":2},{"info":"NaN⫳≱↱⫖↰⪸1AA4B=NaN","layer":1},{"info":"⨦⪝NaN=⫖↰⪸-1110","layer":0}]}
{"id":104,"expression_no_base_symbol":"(⩏⊷≩(↓⇌$6989$)⨓$9280$⋥⋵⩄$2185$)⫁(($2701$↳≱$1789$⇉⇉)⩷∴((⨩∲⋌$4302$)⫩⊇))","expression":"(⩏⊷≩(↓⇌⫖↰⪸4065)⨓⫖↰⪸5454⋥⋵⩄⫖↰⪸1321)⫁((⫖↰⪸1691↳≱⫖↰⪸1051⇉⇉)⩷∴((⨩∲⋌⫖↰⪸25A6)⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":409,"operation_count":10,"complexity_ratio":40.9,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":6989,"base":12}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":9280,"base":12},"right_expr":{"type":"numeric_atoms","value":2185,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2701,"base":12},"right_expr":{"type":"numeric_atoms","value":1789,"base":12}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4302,"base":12}}}}},"used_operators":["0ajvFaJAv0","uOZ1tnYMDE","3ViojmjbAp","PxpmPgHHJV","7t3wd0Fuz7","9FxExcQeMw","diKm42VcIt","JwTKLfZU96","BjRHVeLaeN","aSik1wnThz"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","23Mk6UjR3U","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6989","layer":4},{"info":"compute unary expreesion, input=6989, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=6989","layer":3},{"info":"number node, value=9280","layer":4},{"info":"number node, value=2185","layer":4},{"info":"compute binary expreesion, left_input=9280, right_input=2185, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=6989, right_input=113, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1078","layer":1},{"info":"number node, value=2701","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1789, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=6652","layer":2},{"info":"number node, value=4302","layer":4},{"info":"compute unary expreesion, input=4302, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4825","layer":3},{"info":"compute unary expreesion, input=-4825, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=4867","layer":2},{"info":"compute binary expreesion, left_input=6652, right_input=4867, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3538","layer":1},{"info":"compute binary expreesion, left_input=1078, right_input=3538, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⩏⊷≩(↓⇌⫖↰⪸4065)⨓⫖↰⪸5454⋥⋵⩄⫖↰⪸1321)⫁((⫖↰⪸1691↳≱⫖↰⪸1051⇉⇉)⩷∴((⨩∲⋌⫖↰⪸25A6)⫩⊇))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⩏⊷≩(↓⇌⫖↰⪸4065)⨓⫖↰⪸5454⋥⋵⩄⫖↰⪸1321)⫁((⫖↰⪸1691↳≱⫖↰⪸1051⇉⇉)⩷∴((⨩∲⋌⫖↰⪸25A6)⫩⊇))","cot":[{"info":"↓⇌⫖↰⪸4065=⫖↰⪸4065","layer":3},{"info":"⫖↰⪸5454⋥⋵⩄⫖↰⪸1321=⫖↰⪸95","layer":3},{"info":"⫖↰⪸4065⨓⫖↰⪸95=⫖↰⪸-98","layer":2},{"info":"⩏⊷≩⫖↰⪸-98=⫖↰⪸75A","layer":1},{"info":"⫖↰⪸1691↳≱⫖↰⪸1051=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⇉⇉=⫖↰⪸3A24","layer":2},{"info":"⨩∲⋌⫖↰⪸25A6=⫖↰⪸-2961","layer":3},{"info":"⫖↰⪸-2961⫩⊇=⫖↰⪸2997","layer":2},{"info":"⫖↰⪸3A24⩷∴⫖↰⪸2997=⫖↰⪸206A","layer":1},{"info":"⫖↰⪸75A⫁⫖↰⪸206A=⫖↰⪸114","layer":0}]}
{"id":105,"expression_no_base_symbol":"((⇜($2851$⊝⪿⪼$2706$))↡⊰⫅($4622$∐⫣)⫉⨲⊜($5249$↼⊘⨖$1204$))⇤(($1149$⇌⫙⪟$3228$)⊝⪿⪼(∐⩳⋚$1002$)⫳≱↱($8860$⊴$5007$)⋕⪉⪜($5568$∺≝⩲$5276$))","expression":"((⇜(⫖↰⪸1797⊝⪿⪼⫖↰⪸1696))↡⊰⫅(⫖↰⪸2812∐⫣)⫉⨲⊜(⫖↰⪸3055↼⊘⨖⫖↰⪸844))⇤((⫖↰⪸7B9⇌⫙⪟⫖↰⪸1A50)⊝⪿⪼(∐⩳⋚⫖↰⪸6B6)⫳≱↱(⫖↰⪸5164⊴⫖↰⪸2A93)⋕⪉⪜(⫖↰⪸3280∺≝⩲⫖↰⪸3078))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6891,"operation_count":14,"complexity_ratio":492.2142857142857,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2851,"base":12},"right_expr":{"type":"numeric_atoms","value":2706,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":4622,"base":12}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5249,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1149,"base":12},"right_expr":{"type":"numeric_atoms","value":3228,"base":12}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1002,"base":12}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8860,"base":12},"right_expr":{"type":"numeric_atoms","value":5007,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5568,"base":12},"right_expr":{"type":"numeric_atoms","value":5276,"base":12}}}}},"used_operators":["YSKBFp38Pu","VCtxkLNOzz","lFBm8KRb8F","3Oe9XWJUTD","WhqkvtTD3t","4CyGpkTkEk","bPywburJMS","ZvLB05nZmT","AFVx7xoS7T","SL6IHkK8vl","z6LnFrNh4i","Nsiff2A1zJ","KPf6cnQVty"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫖↰⪸22A4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2851","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=2706, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41495","layer":3},{"info":"compute unary expreesion, input=41495, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-332368","layer":2},{"info":"number node, value=4622","layer":4},{"info":"compute unary expreesion, input=4622, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=5249","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=5249, right_input=1204, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2186","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=2186, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-332368, 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":1},{"info":"number node, value=1149","layer":4},{"info":"number node, value=3228","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=3228, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=132919","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=132919, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=11627","layer":2},{"info":"number node, value=8860","layer":4},{"info":"number node, value=5007","layer":4},{"info":"compute binary expreesion, left_input=8860, right_input=5007, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5568","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=5568, right_input=5276, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=11627, right_input=204, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-204, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=3868","layer":0}],"base":12,"result_base":12,"text":"((⇜(⫖↰⪸1797⊝⪿⪼⫖↰⪸1696))↡⊰⫅(⫖↰⪸2812∐⫣)⫉⨲⊜(⫖↰⪸3055↼⊘⨖⫖↰⪸844))⇤((⫖↰⪸7B9⇌⫙⪟⫖↰⪸1A50)⊝⪿⪼(∐⩳⋚⫖↰⪸6B6)⫳≱↱(⫖↰⪸5164⊴⫖↰⪸2A93)⋕⪉⪜(⫖↰⪸3280∺≝⩲⫖↰⪸3078))=⫖↰⪸22A4","reverse_text":"⫖↰⪸22A4=((⇜(⫖↰⪸1797⊝⪿⪼⫖↰⪸1696))↡⊰⫅(⫖↰⪸2812∐⫣)⫉⨲⊜(⫖↰⪸3055↼⊘⨖⫖↰⪸844))⇤((⫖↰⪸7B9⇌⫙⪟⫖↰⪸1A50)⊝⪿⪼(∐⩳⋚⫖↰⪸6B6)⫳≱↱(⫖↰⪸5164⊴⫖↰⪸2A93)⋕⪉⪜(⫖↰⪸3280∺≝⩲⫖↰⪸3078))","cot":[{"info":"⫖↰⪸1797⊝⪿⪼⫖↰⪸1696=⫖↰⪸2001B","layer":3},{"info":"⇜⫖↰⪸2001B=⫖↰⪸-140414","layer":2},{"info":"⫖↰⪸2812∐⫣=⫖↰⪸39B","layer":3},{"info":"⫖↰⪸3055↼⊘⨖⫖↰⪸844=⫖↰⪸1322","layer":3},{"info":"⫖↰⪸39B⫉⨲⊜⫖↰⪸1322=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-140414↡⊰⫅⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸7B9⇌⫙⪟⫖↰⪸1A50=⫖↰⪸95","layer":3},{"info":"∐⩳⋚⫖↰⪸6B6=⫖↰⪸64B07","layer":3},{"info":"⫖↰⪸95⊝⪿⪼⫖↰⪸64B07=⫖↰⪸688B","layer":2},{"info":"⫖↰⪸5164⊴⫖↰⪸2A93=NaN","layer":3},{"info":"⫖↰⪸3280∺≝⩲⫖↰⪸3078=⫖↰⪸114","layer":3},{"info":"NaN⋕⪉⪜⫖↰⪸114=⫖↰⪸150","layer":2},{"info":"⫖↰⪸688B⫳≱↱⫖↰⪸150=⫖↰⪸-150","layer":1},{"info":"⫖↰⪸0⇤⫖↰⪸-150=⫖↰⪸22A4","layer":0}]}
{"id":106,"expression_no_base_symbol":"(($1419$⇄$6716$)∴($8004$⋖∅⋲))≴⪞⇿((⇐$1170$)⩺⋐⫨)∌↝(($3481$⋛$3004$)↞⋁($1919$⩚⊴⇥$2221$)⫥∨⫟$1886$∺≝⩲$1251$↬$6438$⨜⨶$9395$)","expression":"((⫖↰⪸9A3⇄⫖↰⪸3A78)∴(⫖↰⪸4770⋖∅⋲))≴⪞⇿((⇐⫖↰⪸816)⩺⋐⫨)∌↝((⫖↰⪸2021⋛⫖↰⪸18A4)↞⋁(⫖↰⪸113B⩚⊴⇥⫖↰⪸1351)⫥∨⫟⫖↰⪸1112∺≝⩲⫖↰⪸883↬⫖↰⪸3886⨜⨶⫖↰⪸552B)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2677,"operation_count":14,"complexity_ratio":191.21428571428572,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1419,"base":12},"right_expr":{"type":"numeric_atoms","value":6716,"base":12}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":8004,"base":12}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1170,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3481,"base":12},"right_expr":{"type":"numeric_atoms","value":3004,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1919,"base":12},"right_expr":{"type":"numeric_atoms","value":2221,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1886,"base":12},"right_expr":{"type":"numeric_atoms","value":1251,"base":12}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6438,"base":12},"right_expr":{"type":"numeric_atoms","value":9395,"base":12}}}}},"used_operators":["9Isq31Ruls","lvlrscuwVU","hrf7POJlIJ","3EYGwJThht","L95AwlJzhO","yS9ePUuUdn","nmZMaaE0Q9","KYD54nUTWz","RqrPlJkxDo","YbUVn0Rbpy","NTOWxs364D","B5M0gjZbta","KPf6cnQVty","HiPekx5b7W"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","8HhzD0ZcuI","rGHVDoGpnC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫖↰⪸263674A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1419","layer":4},{"info":"number node, value=6716","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=6716, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=8004","layer":4},{"info":"compute unary expreesion, input=8004, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-384231, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":2},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2682","layer":3},{"info":"compute unary expreesion, input=2682, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1648, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3769301","layer":1},{"info":"number node, value=3481","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=3004, 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=-100863","layer":3},{"info":"number node, value=1919","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=2221, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4261","layer":3},{"info":"compute binary expreesion, left_input=-100863, right_input=-4261, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-100863","layer":2},{"info":"number node, value=1886","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1251, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=6438","layer":4},{"info":"number node, value=9395","layer":4},{"info":"compute binary expreesion, left_input=6438, right_input=9395, 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=-18534","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-18534, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-100863, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3769301, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=7538602","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸9A3⇄⫖↰⪸3A78)∴(⫖↰⪸4770⋖∅⋲))≴⪞⇿((⇐⫖↰⪸816)⩺⋐⫨)∌↝((⫖↰⪸2021⋛⫖↰⪸18A4)↞⋁(⫖↰⪸113B⩚⊴⇥⫖↰⪸1351)⫥∨⫟⫖↰⪸1112∺≝⩲⫖↰⪸883↬⫖↰⪸3886⨜⨶⫖↰⪸552B)=⫖↰⪸263674A","reverse_text":"⫖↰⪸263674A=((⫖↰⪸9A3⇄⫖↰⪸3A78)∴(⫖↰⪸4770⋖∅⋲))≴⪞⇿((⇐⫖↰⪸816)⩺⋐⫨)∌↝((⫖↰⪸2021⋛⫖↰⪸18A4)↞⋁(⫖↰⪸113B⩚⊴⇥⫖↰⪸1351)⫥∨⫟⫖↰⪸1112∺≝⩲⫖↰⪸883↬⫖↰⪸3886⨜⨶⫖↰⪸552B)","cot":[{"info":"⫖↰⪸9A3⇄⫖↰⪸3A78=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4770⋖∅⋲=⫖↰⪸-166433","layer":3},{"info":"⫖↰⪸0∴⫖↰⪸-166433=⫖↰⪸B54","layer":2},{"info":"⇐⫖↰⪸816=⫖↰⪸1676","layer":3},{"info":"⫖↰⪸1676⩺⋐⫨=⫖↰⪸0","layer":2},{"info":"⫖↰⪸B54≴⪞⇿⫖↰⪸0=⫖↰⪸1319385","layer":1},{"info":"⫖↰⪸2021⋛⫖↰⪸18A4=⫖↰⪸-4A453","layer":3},{"info":"⫖↰⪸113B⩚⊴⇥⫖↰⪸1351=⫖↰⪸-2571","layer":3},{"info":"⫖↰⪸-4A453↞⋁⫖↰⪸-2571=⫖↰⪸-4A453","layer":2},{"info":"⫖↰⪸1112∺≝⩲⫖↰⪸883=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3886⨜⨶⫖↰⪸552B=⫖↰⪸-A886","layer":3},{"info":"⫖↰⪸114↬⫖↰⪸-A886=NaN","layer":2},{"info":"⫖↰⪸-4A453⫥∨⫟NaN=NaN","layer":1},{"info":"⫖↰⪸1319385∌↝NaN=⫖↰⪸263674A","layer":0}]}
{"id":107,"expression_no_base_symbol":"(⪫⨮⊛(($4761$⫡⨏$4253$)≀⩗∶(⨴⫝$1139$)))↼⊘⨖(⫯((⨞⊢$5391$)⩅⪻⪻))","expression":"(⪫⨮⊛((⫖↰⪸2909⫡⨏⫖↰⪸2565)≀⩗∶(⨴⫝⫖↰⪸7AB)))↼⊘⨖(⫯((⨞⊢⫖↰⪸3153)⩅⪻⪻))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7668,"operation_count":8,"complexity_ratio":958.5,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4761,"base":12},"right_expr":{"type":"numeric_atoms","value":4253,"base":12}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1139,"base":12}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5391,"base":12}}}}},"used_operators":["bPywburJMS","w5FWba1tyO","8INZBEW696","QMFrweE19q","SVb2v531z1","H6BK1Evt7c","kHoXpA7yos","xUOZtlo3hN"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-12852A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4761","layer":4},{"info":"number node, value=4253","layer":4},{"info":"compute binary expreesion, left_input=4761, right_input=4253, 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=33094","layer":3},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=33094, right_input=2828198, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-255","layer":2},{"info":"compute unary expreesion, input=-255, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-255","layer":1},{"info":"number node, value=5391","layer":4},{"info":"compute unary expreesion, input=5391, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5565","layer":3},{"info":"compute unary expreesion, input=-5565, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-152330","layer":1},{"info":"compute binary expreesion, left_input=-255, right_input=-152330, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-304882","layer":0}],"base":12,"result_base":12,"text":"(⪫⨮⊛((⫖↰⪸2909⫡⨏⫖↰⪸2565)≀⩗∶(⨴⫝⫖↰⪸7AB)))↼⊘⨖(⫯((⨞⊢⫖↰⪸3153)⩅⪻⪻))=⫖↰⪸-12852A","reverse_text":"⫖↰⪸-12852A=(⪫⨮⊛((⫖↰⪸2909⫡⨏⫖↰⪸2565)≀⩗∶(⨴⫝⫖↰⪸7AB)))↼⊘⨖(⫯((⨞⊢⫖↰⪸3153)⩅⪻⪻))","cot":[{"info":"⫖↰⪸2909⫡⨏⫖↰⪸2565=⫖↰⪸1719A","layer":3},{"info":"⨴⫝⫖↰⪸7AB=⫖↰⪸B44832","layer":3},{"info":"⫖↰⪸1719A≀⩗∶⫖↰⪸B44832=⫖↰⪸-193","layer":2},{"info":"⪫⨮⊛⫖↰⪸-193=⫖↰⪸-193","layer":1},{"info":"⨞⊢⫖↰⪸3153=⫖↰⪸-3279","layer":3},{"info":"⫖↰⪸-3279⩅⪻⪻=⫖↰⪸2377","layer":2},{"info":"⫯⫖↰⪸2377=⫖↰⪸-741A2","layer":1},{"info":"⫖↰⪸-193↼⊘⨖⫖↰⪸-741A2=⫖↰⪸-12852A","layer":0}]}
{"id":108,"expression_no_base_symbol":"($1357$≎⊠⪸$1550$⨵⪆($2066$∀⊥⇻))∛(↨⩢⫨$2363$)⪬($5723$⨟⋌⩍$1918$)⊋((⨵≀≌$8474$)↳∿⪆(⫡⇟⇯$6277$))⩖⊿($1138$≒∊$1029$≬⋮$2392$∓⋝$1731$)","expression":"(⫖↰⪸951≎⊠⪸⫖↰⪸A92⨵⪆(⫖↰⪸1242∀⊥⇻))∛(↨⩢⫨⫖↰⪸144B)⪬(⫖↰⪸338B⨟⋌⩍⫖↰⪸113A)⊋((⨵≀≌⫖↰⪸4AA2)↳∿⪆(⫡⇟⇯⫖↰⪸3771))⩖⊿(⫖↰⪸7AA≒∊⫖↰⪸719≬⋮⫖↰⪸1474∓⋝⫖↰⪸1003)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3788,"operation_count":15,"complexity_ratio":252.53333333333333,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1357,"base":12},"right_expr":{"type":"numeric_atoms","value":1550,"base":12}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":2066,"base":12}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2363,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5723,"base":12},"right_expr":{"type":"numeric_atoms","value":1918,"base":12}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8474,"base":12}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":6277,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1138,"base":12},"right_expr":{"type":"numeric_atoms","value":1029,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2392,"base":12},"right_expr":{"type":"numeric_atoms","value":1731,"base":12}}}}},"used_operators":["W4tP9CfskL","w2537kitQq","2DQ55sFlQl","bJkvcejdHO","k4iM1060OG","Ez1Nq5fNfI","Z5CJsN7DuW","rGHVDoGpnC","RZ5CV9rWsJ","Cw4SuJJGHO","srAu1WTS94","qWUSsah53b","kbkesczE7y","5KTvxBwnZo","PoHhknlbAi"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","Tcnh7f0tEr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","P8v4zCKN1o","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=1550, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=350990","layer":3},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=350990, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2363","layer":4},{"info":"compute unary expreesion, input=2363, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=5723","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=5723, right_input=1918, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1234, 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=8474","layer":4},{"info":"compute unary expreesion, input=8474, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-25422","layer":3},{"info":"number node, value=6277","layer":4},{"info":"compute unary expreesion, input=6277, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=13422","layer":3},{"info":"compute binary expreesion, left_input=-25422, right_input=13422, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1029, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-654","layer":3},{"info":"number node, value=2392","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=1731, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-654, right_input=67, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸951≎⊠⪸⫖↰⪸A92⨵⪆(⫖↰⪸1242∀⊥⇻))∛(↨⩢⫨⫖↰⪸144B)⪬(⫖↰⪸338B⨟⋌⩍⫖↰⪸113A)⊋((⨵≀≌⫖↰⪸4AA2)↳∿⪆(⫡⇟⇯⫖↰⪸3771))⩖⊿(⫖↰⪸7AA≒∊⫖↰⪸719≬⋮⫖↰⪸1474∓⋝⫖↰⪸1003)=NaN","reverse_text":"NaN=(⫖↰⪸951≎⊠⪸⫖↰⪸A92⨵⪆(⫖↰⪸1242∀⊥⇻))∛(↨⩢⫨⫖↰⪸144B)⪬(⫖↰⪸338B⨟⋌⩍⫖↰⪸113A)⊋((⨵≀≌⫖↰⪸4AA2)↳∿⪆(⫡⇟⇯⫖↰⪸3771))⩖⊿(⫖↰⪸7AA≒∊⫖↰⪸719≬⋮⫖↰⪸1474∓⋝⫖↰⪸1003)","cot":[{"info":"⫖↰⪸951≎⊠⪸⫖↰⪸A92=⫖↰⪸14B152","layer":3},{"info":"⫖↰⪸1242∀⊥⇻=⫖↰⪸0","layer":3},{"info":"⫖↰⪸14B152⨵⪆⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"↨⩢⫨⫖↰⪸144B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸338B⨟⋌⩍⫖↰⪸113A=NaN","layer":3},{"info":"⫖↰⪸0⪬NaN=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸114∛⫖↰⪸86A=⫖↰⪸57","layer":1},{"info":"⨵≀≌⫖↰⪸4AA2=⫖↰⪸-12866","layer":3},{"info":"⫡⇟⇯⫖↰⪸3771=⫖↰⪸7926","layer":3},{"info":"⫖↰⪸-12866↳∿⪆⫖↰⪸7926=NaN","layer":2},{"info":"⫖↰⪸7AA≒∊⫖↰⪸719=⫖↰⪸-466","layer":3},{"info":"⫖↰⪸1474∓⋝⫖↰⪸1003=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-466≬⋮⫖↰⪸57=⫖↰⪸604","layer":2},{"info":"NaN⩖⊿⫖↰⪸604=NaN","layer":1},{"info":"⫖↰⪸57⊋NaN=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"(($2188$⊝⪿⪼$5686$)⊢$4968$⩼⇪↪$1553$≭(⫟$5287$)+⪬∐$7004$⩖⊿$3331$)⨱∎","expression":"((⫖↰⪸1324⊝⪿⪼⫖↰⪸335A)⊢⫖↰⪸2A60⩼⇪↪⫖↰⪸A95≭(⫟⫖↰⪸3087)+⪬∐⫖↰⪸4078⩖⊿⫖↰⪸1B17)⨱∎","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":130,"operation_count":8,"complexity_ratio":16.25,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2188,"base":12},"right_expr":{"type":"numeric_atoms","value":5686,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4968,"base":12},"right_expr":{"type":"numeric_atoms","value":1553,"base":12}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5287,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":7004,"base":12},"right_expr":{"type":"numeric_atoms","value":3331,"base":12}}}}},"used_operators":["MmTdOpaElr","rxpJgHHUmx","5twsqlHp2o","3Oe9XWJUTD","ocnLzx9CaJ","2GS7woTJqF","z4E1FaHLuy","RZ5CV9rWsJ"],"dependent_operators":["tifHPKVTfV","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"number node, value=5686","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=5686, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=42752","layer":3},{"info":"number node, value=4968","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=1553, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-1718","layer":3},{"info":"compute binary expreesion, left_input=42752, right_input=-1718, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-85748","layer":2},{"info":"number node, value=5287","layer":4},{"info":"compute unary expreesion, input=5287, 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=-14954","layer":3},{"info":"number node, value=7004","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=7004, right_input=3331, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-1450","layer":3},{"info":"compute binary expreesion, left_input=-14954, right_input=-1450, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=44862","layer":2},{"info":"compute binary expreesion, left_input=-85748, right_input=44862, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1324⊝⪿⪼⫖↰⪸335A)⊢⫖↰⪸2A60⩼⇪↪⫖↰⪸A95≭(⫟⫖↰⪸3087)+⪬∐⫖↰⪸4078⩖⊿⫖↰⪸1B17)⨱∎=NaN","reverse_text":"NaN=((⫖↰⪸1324⊝⪿⪼⫖↰⪸335A)⊢⫖↰⪸2A60⩼⇪↪⫖↰⪸A95≭(⫟⫖↰⪸3087)+⪬∐⫖↰⪸4078⩖⊿⫖↰⪸1B17)⨱∎","cot":[{"info":"⫖↰⪸1324⊝⪿⪼⫖↰⪸335A=⫖↰⪸208A8","layer":3},{"info":"⫖↰⪸2A60⩼⇪↪⫖↰⪸A95=⫖↰⪸-BB2","layer":3},{"info":"⫖↰⪸208A8⊢⫖↰⪸-BB2=⫖↰⪸-41758","layer":2},{"info":"⫟⫖↰⪸3087=⫖↰⪸-87A2","layer":3},{"info":"⫖↰⪸4078⩖⊿⫖↰⪸1B17=⫖↰⪸-A0A","layer":3},{"info":"⫖↰⪸-87A2+⪬∐⫖↰⪸-A0A=⫖↰⪸21B66","layer":2},{"info":"⫖↰⪸-41758≭⫖↰⪸21B66=NaN","layer":1},{"info":"NaN⨱∎=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"(($7265$↯⫤)⪕$1198$↹⊜$2196$⫌⩉⩟$1004$⩦$2041$⪨⊡$3586$∴$2756$)⋩≍≻","expression":"((⫖↰⪸4255↯⫤)⪕⫖↰⪸83A↹⊜⫖↰⪸1330⫌⩉⩟⫖↰⪸6B8⩦⫖↰⪸1221⪨⊡⫖↰⪸20AA∴⫖↰⪸1718)⋩≍≻","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1461,"operation_count":8,"complexity_ratio":182.625,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":7265,"base":12}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1198,"base":12},"right_expr":{"type":"numeric_atoms","value":2196,"base":12}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":2041,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3586,"base":12},"right_expr":{"type":"numeric_atoms","value":2756,"base":12}}}}},"used_operators":["WYd1w68Nbz","XIIwhv8d0m","umQnsF7QlU","VwlE7vj6HS","9bazX3JMtO","kuIXHzHcAH","0kmYd0q39Y","hrf7POJlIJ"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⫖↰⪸148","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7265","layer":4},{"info":"compute unary expreesion, input=7265, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=2196, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6484","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6484, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2041, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2008","layer":3},{"info":"number node, value=3586","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=3586, right_input=2756, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8820","layer":3},{"info":"compute binary expreesion, left_input=2008, right_input=8820, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=200","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4255↯⫤)⪕⫖↰⪸83A↹⊜⫖↰⪸1330⫌⩉⩟⫖↰⪸6B8⩦⫖↰⪸1221⪨⊡⫖↰⪸20AA∴⫖↰⪸1718)⋩≍≻=⫖↰⪸148","reverse_text":"⫖↰⪸148=((⫖↰⪸4255↯⫤)⪕⫖↰⪸83A↹⊜⫖↰⪸1330⫌⩉⩟⫖↰⪸6B8⩦⫖↰⪸1221⪨⊡⫖↰⪸20AA∴⫖↰⪸1718)⋩≍≻","cot":[{"info":"⫖↰⪸4255↯⫤=⫖↰⪸0","layer":3},{"info":"⫖↰⪸83A↹⊜⫖↰⪸1330=⫖↰⪸-3904","layer":3},{"info":"⫖↰⪸0⪕⫖↰⪸-3904=⫖↰⪸65B","layer":2},{"info":"⫖↰⪸6B8⩦⫖↰⪸1221=⫖↰⪸11B4","layer":3},{"info":"⫖↰⪸20AA∴⫖↰⪸1718=⫖↰⪸5130","layer":3},{"info":"⫖↰⪸11B4⪨⊡⫖↰⪸5130=⫖↰⪸0","layer":2},{"info":"⫖↰⪸65B⫌⩉⩟⫖↰⪸0=⫖↰⪸-42","layer":1},{"info":"⫖↰⪸-42⋩≍≻=⫖↰⪸148","layer":0}]}
{"id":111,"expression_no_base_symbol":"≉($2032$⋕⪉⪜$3396$⪥($4205$∪⫐$2949$)∲⫓$5793$⪚$6541$≀⫉($3576$/$6731$))","expression":"≉(⫖↰⪸1214⋕⪉⪜⫖↰⪸1B70⪥(⫖↰⪸2525∪⫐⫖↰⪸1859)∲⫓⫖↰⪸3429⪚⫖↰⪸3951≀⫉(⫖↰⪸20A0/⫖↰⪸3A8B))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":228,"operation_count":8,"complexity_ratio":28.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2032,"base":12},"right_expr":{"type":"numeric_atoms","value":3396,"base":12}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4205,"base":12},"right_expr":{"type":"numeric_atoms","value":2949,"base":12}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5793,"base":12},"right_expr":{"type":"numeric_atoms","value":6541,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3576,"base":12},"right_expr":{"type":"numeric_atoms","value":6731,"base":12}}}}},"used_operators":["e1ybzncUwg","i8ToyICDmI","QbnwKVWMIQ","z6LnFrNh4i","7YooWSwCyH","oZj3VtZNQx","HrjLwUk87U","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z"],"result":"⫖↰⪸383","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2032","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=3396, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=4205","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=4205, right_input=2949, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4205","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=4205, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=5468","layer":2},{"info":"number node, value=5793","layer":4},{"info":"number node, value=6541","layer":4},{"info":"compute binary expreesion, left_input=5793, right_input=6541, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1852","layer":3},{"info":"number node, value=3576","layer":4},{"info":"number node, value=6731","layer":4},{"info":"compute binary expreesion, left_input=3576, right_input=6731, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1852, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=5468, right_input=2822, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":0}],"base":12,"result_base":12,"text":"≉(⫖↰⪸1214⋕⪉⪜⫖↰⪸1B70⪥(⫖↰⪸2525∪⫐⫖↰⪸1859)∲⫓⫖↰⪸3429⪚⫖↰⪸3951≀⫉(⫖↰⪸20A0/⫖↰⪸3A8B))=⫖↰⪸383","reverse_text":"⫖↰⪸383=≉(⫖↰⪸1214⋕⪉⪜⫖↰⪸1B70⪥(⫖↰⪸2525∪⫐⫖↰⪸1859)∲⫓⫖↰⪸3429⪚⫖↰⪸3951≀⫉(⫖↰⪸20A0/⫖↰⪸3A8B))","cot":[{"info":"⫖↰⪸1214⋕⪉⪜⫖↰⪸1B70=⫖↰⪸150","layer":3},{"info":"⫖↰⪸2525∪⫐⫖↰⪸1859=⫖↰⪸2525","layer":3},{"info":"⫖↰⪸150⪥⫖↰⪸2525=⫖↰⪸31B8","layer":2},{"info":"⫖↰⪸3429⪚⫖↰⪸3951=⫖↰⪸-10A4","layer":3},{"info":"⫖↰⪸20A0/⫖↰⪸3A8B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-10A4≀⫉⫖↰⪸0=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸31B8∲⫓⫖↰⪸1772=⫖↰⪸0","layer":1},{"info":"≉⫖↰⪸0=⫖↰⪸383","layer":0}]}
{"id":112,"expression_no_base_symbol":"((∐⩳⋚(⩩$1127$))⊔(($1914$⪒$3010$)⩹($6976$⇩)))⊱⇼⊻(≘($1012$≃$3620$)≁↽≥($6872$*$3393$))","expression":"((∐⩳⋚(⩩⫖↰⪸79B))⊔((⫖↰⪸1136⪒⫖↰⪸18AA)⩹(⫖↰⪸4054⇩)))⊱⇼⊻(≘(⫖↰⪸704≃⫖↰⪸2118)≁↽≥(⫖↰⪸3B88*⫖↰⪸1B69))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5762,"operation_count":11,"complexity_ratio":523.8181818181819,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1127,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1914,"base":12},"right_expr":{"type":"numeric_atoms","value":3010,"base":12}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":6976,"base":12}}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1012,"base":12},"right_expr":{"type":"numeric_atoms","value":3620,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6872,"base":12},"right_expr":{"type":"numeric_atoms","value":3393,"base":12}}}}},"used_operators":["FyVja0WsTP","E4l6HwMY31","SL6IHkK8vl","kMhfGuqI2H","2Wsdkap16l","f6k1SAg4EE","vRio1gEz1j","tcjXMdvYtA","ncHt1X6cMc","YbVcJGFEVW","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":2},{"info":"number node, value=1914","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=3010, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4924","layer":3},{"info":"number node, value=6976","layer":4},{"info":"compute unary expreesion, input=6976, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=7069","layer":3},{"info":"compute binary expreesion, left_input=-4924, right_input=7069, 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=7067","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7067, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3620","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=3620, 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=-4088","layer":3},{"info":"number node, value=6872","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=6872, right_input=3393, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23316696","layer":3},{"info":"compute binary expreesion, left_input=-4088, right_input=23316696, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-51388","layer":2},{"info":"compute unary expreesion, input=-51388, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=30215882","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=30215882, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∐⩳⋚(⩩⫖↰⪸79B))⊔((⫖↰⪸1136⪒⫖↰⪸18AA)⩹(⫖↰⪸4054⇩)))⊱⇼⊻(≘(⫖↰⪸704≃⫖↰⪸2118)≁↽≥(⫖↰⪸3B88*⫖↰⪸1B69))=NaN","reverse_text":"NaN=((∐⩳⋚(⩩⫖↰⪸79B))⊔((⫖↰⪸1136⪒⫖↰⪸18AA)⩹(⫖↰⪸4054⇩)))⊱⇼⊻(≘(⫖↰⪸704≃⫖↰⪸2118)≁↽≥(⫖↰⪸3B88*⫖↰⪸1B69))","cot":[{"info":"⩩⫖↰⪸79B=NaN","layer":3},{"info":"∐⩳⋚NaN=NaN","layer":2},{"info":"⫖↰⪸1136⪒⫖↰⪸18AA=⫖↰⪸-2A24","layer":3},{"info":"⫖↰⪸4054⇩=⫖↰⪸4111","layer":3},{"info":"⫖↰⪸-2A24⩹⫖↰⪸4111=⫖↰⪸410B","layer":2},{"info":"NaN⊔⫖↰⪸410B=NaN","layer":1},{"info":"⫖↰⪸704≃⫖↰⪸2118=⫖↰⪸-2448","layer":3},{"info":"⫖↰⪸3B88*⫖↰⪸1B69=⫖↰⪸7985560","layer":3},{"info":"⫖↰⪸-2448≁↽≥⫖↰⪸7985560=⫖↰⪸-258A4","layer":2},{"info":"≘⫖↰⪸-258A4=⫖↰⪸A152062","layer":1},{"info":"NaN⊱⇼⊻⫖↰⪸A152062=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"∑⇻≧(↽≂$1958$⫁$1108$)⨻⩈⩔$2645$⇻⋧≁$6178$∛($1261$⨵⪆$1833$)","expression":"∑⇻≧(↽≂⫖↰⪸1172⫁⫖↰⪸784)⨻⩈⩔⫖↰⪸1645⇻⋧≁⫖↰⪸36AA∛(⫖↰⪸891⨵⪆⫖↰⪸1089)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2892,"operation_count":7,"complexity_ratio":413.14285714285717,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1958,"base":12},"right_expr":{"type":"numeric_atoms","value":1108,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2645,"base":12},"right_expr":{"type":"numeric_atoms","value":6178,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1261,"base":12},"right_expr":{"type":"numeric_atoms","value":1833,"base":12}}}}},"used_operators":["l1M9WJ3V7u","nEsXyWgiOK","u6S6b8DprG","0ajvFaJAv0","w2537kitQq","jCPkEVoL5K","2DQ55sFlQl"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-5B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=1108, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-320","layer":2},{"info":"number node, value=2645","layer":4},{"info":"number node, value=6178","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=6178, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1833, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=160, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=67, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute unary expreesion, input=-174, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":12,"result_base":12,"text":"∑⇻≧(↽≂⫖↰⪸1172⫁⫖↰⪸784)⨻⩈⩔⫖↰⪸1645⇻⋧≁⫖↰⪸36AA∛(⫖↰⪸891⨵⪆⫖↰⪸1089)=⫖↰⪸-5B0","reverse_text":"⫖↰⪸-5B0=∑⇻≧(↽≂⫖↰⪸1172⫁⫖↰⪸784)⨻⩈⩔⫖↰⪸1645⇻⋧≁⫖↰⪸36AA∛(⫖↰⪸891⨵⪆⫖↰⪸1089)","cot":[{"info":"⫖↰⪸1172⫁⫖↰⪸784=⫖↰⪸114","layer":3},{"info":"↽≂⫖↰⪸114=⫖↰⪸-228","layer":2},{"info":"⫖↰⪸1645⇻⋧≁⫖↰⪸36AA=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸891⨵⪆⫖↰⪸1089=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-313∛⫖↰⪸114=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-228⨻⩈⩔⫖↰⪸57=⫖↰⪸-126","layer":1},{"info":"∑⇻≧⫖↰⪸-126=⫖↰⪸-5B0","layer":0}]}
{"id":114,"expression_no_base_symbol":"⪓⩚(≋(⊵⊁($1066$⪔⊥$2324$)))","expression":"⪓⩚(≋(⊵⊁(⫖↰⪸74A⪔⊥⫖↰⪸1418)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3388,"operation_count":4,"complexity_ratio":847.0,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1066,"base":12},"right_expr":{"type":"numeric_atoms","value":2324,"base":12}}}}},"used_operators":["u0R0Locfp2","61wBmkZwlr","AvED76WdY7","HJ9erzHUuu"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","7j4O788W3g","uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫖↰⪸2B6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1066","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=2324, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-583","layer":3},{"info":"compute unary expreesion, input=-583, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":12,"result_base":12,"text":"⪓⩚(≋(⊵⊁(⫖↰⪸74A⪔⊥⫖↰⪸1418)))=⫖↰⪸2B6","reverse_text":"⫖↰⪸2B6=⪓⩚(≋(⊵⊁(⫖↰⪸74A⪔⊥⫖↰⪸1418)))","cot":[{"info":"⫖↰⪸74A⪔⊥⫖↰⪸1418=⫖↰⪸-407","layer":3},{"info":"⊵⊁⫖↰⪸-407=⫖↰⪸0","layer":2},{"info":"≋⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⪓⩚⫖↰⪸0=⫖↰⪸2B6","layer":0}]}
{"id":115,"expression_no_base_symbol":"(⪭⩑⪱(↸⊣$1239$)∛($3598$⨹))⫰⋱((∤↝($2221$∈))⫚↹⊑($2036$⨵⪆$1405$)⩁⩘(⊆⋠$1065$))","expression":"(⪭⩑⪱(↸⊣⫖↰⪸873)∛(⫖↰⪸20BA⨹))⫰⋱((∤↝(⫖↰⪸1351∈))⫚↹⊑(⫖↰⪸1218⨵⪆⫖↰⪸991)⩁⩘(⊆⋠⫖↰⪸749))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9363,"operation_count":11,"complexity_ratio":851.1818181818181,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1239,"base":12}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":3598,"base":12}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":2221,"base":12}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2036,"base":12},"right_expr":{"type":"numeric_atoms","value":1405,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1065,"base":12}}}}},"used_operators":["6o9Blt3TJ6","SIgE0bArFf","w2537kitQq","wztAlM01eG","UnCoSGIALn","dfKe02y8D2","3UMq87Qwqg","ztP7wcbY7m","gub5Cegaqo","2DQ55sFlQl","EBhcHTkKd8"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","mp7IySMOzn","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"⫖↰⪸-2952B52","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-952","layer":3},{"info":"number node, value=3598","layer":4},{"info":"compute unary expreesion, input=3598, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=7196","layer":3},{"info":"compute binary expreesion, left_input=-952, right_input=7196, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=5992","layer":3},{"info":"compute unary expreesion, input=5992, 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=5992","layer":2},{"info":"number node, value=2036","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=1405, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5992, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=-447, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-8320238","layer":0}],"base":12,"result_base":12,"text":"(⪭⩑⪱(↸⊣⫖↰⪸873)∛(⫖↰⪸20BA⨹))⫰⋱((∤↝(⫖↰⪸1351∈))⫚↹⊑(⫖↰⪸1218⨵⪆⫖↰⪸991)⩁⩘(⊆⋠⫖↰⪸749))=⫖↰⪸-2952B52","reverse_text":"⫖↰⪸-2952B52=(⪭⩑⪱(↸⊣⫖↰⪸873)∛(⫖↰⪸20BA⨹))⫰⋱((∤↝(⫖↰⪸1351∈))⫚↹⊑(⫖↰⪸1218⨵⪆⫖↰⪸991)⩁⩘(⊆⋠⫖↰⪸749))","cot":[{"info":"↸⊣⫖↰⪸873=⫖↰⪸-674","layer":3},{"info":"⫖↰⪸20BA⨹=⫖↰⪸41B8","layer":3},{"info":"⫖↰⪸-674∛⫖↰⪸41B8=⫖↰⪸-484","layer":2},{"info":"⪭⩑⪱⫖↰⪸-484=⫖↰⪸2953300","layer":1},{"info":"⫖↰⪸1351∈=⫖↰⪸3574","layer":3},{"info":"∤↝⫖↰⪸3574=⫖↰⪸3574","layer":2},{"info":"⫖↰⪸1218⨵⪆⫖↰⪸991=⫖↰⪸114","layer":3},{"info":"⊆⋠⫖↰⪸749=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⩁⩘⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸3574⫚↹⊑NaN=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸2953300⫰⋱⫖↰⪸-313=⫖↰⪸-2952B52","layer":0}]}
{"id":116,"expression_no_base_symbol":"((($1055$⩏)⇌⫙⪟($2220$⫔⩽⩺$5704$))⨜⨶(⩦⊞$5536$⊉↱≁$2228$))⪃⊛⇣(((⇜$2899$)⊔($5558$⫰⋱$2875$))⩍⋽⫝̸(($2289$↱$1740$)∑⇟⊟($8521$⪇≇⋚$4424$)))","expression":"(((⫖↰⪸73B⩏)⇌⫙⪟(⫖↰⪸1350⫔⩽⩺⫖↰⪸3374))⨜⨶(⩦⊞⫖↰⪸3254⊉↱≁⫖↰⪸1358))⪃⊛⇣(((⇜⫖↰⪸1817)⊔(⫖↰⪸3272⫰⋱⫖↰⪸17B7))⩍⋽⫝̸((⫖↰⪸13A9↱⫖↰⪸1010)∑⇟⊟(⫖↰⪸4B21⪇≇⋚⫖↰⪸2688)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1623,"operation_count":14,"complexity_ratio":115.92857142857143,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1055,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2220,"base":12},"right_expr":{"type":"numeric_atoms","value":5704,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":5536,"base":12},"right_expr":{"type":"numeric_atoms","value":2228,"base":12}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2899,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5558,"base":12},"right_expr":{"type":"numeric_atoms","value":2875,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2289,"base":12},"right_expr":{"type":"numeric_atoms","value":1740,"base":12}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":8521,"base":12},"right_expr":{"type":"numeric_atoms","value":4424,"base":12}}}}},"used_operators":["rrgAzCduG9","HiPekx5b7W","AFVx7xoS7T","iA2gmKZ3Wj","i9eR4S00cU","u7fv1HBiaC","w2P8NbNXyL","BiWNJpBvwn","E4l6HwMY31","lFBm8KRb8F","6o9Blt3TJ6","U7g4x0WXJJ","SR5kFfdi6N","3sJ7IOPOlU"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","z6LnFrNh4i","Tcnh7f0tEr","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=2220","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=5704, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"number node, value=5536","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=5536, right_input=2228, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=41940","layer":3},{"info":"compute unary expreesion, input=41940, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-41667","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-41667, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=2899","layer":4},{"info":"compute unary expreesion, input=2899, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-23600","layer":3},{"info":"number node, value=5558","layer":4},{"info":"number node, value=2875","layer":4},{"info":"compute binary expreesion, left_input=5558, right_input=2875, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5525","layer":3},{"info":"compute binary expreesion, left_input=-23600, right_input=-5525, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=106105","layer":2},{"info":"number node, value=2289","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=1740, 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=-4698","layer":3},{"info":"number node, value=8521","layer":4},{"info":"number node, value=4424","layer":4},{"info":"compute binary expreesion, left_input=8521, right_input=4424, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4698, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-4698","layer":2},{"info":"compute binary expreesion, left_input=106105, right_input=-4698, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=110330","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=110330, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸73B⩏)⇌⫙⪟(⫖↰⪸1350⫔⩽⩺⫖↰⪸3374))⨜⨶(⩦⊞⫖↰⪸3254⊉↱≁⫖↰⪸1358))⪃⊛⇣(((⇜⫖↰⪸1817)⊔(⫖↰⪸3272⫰⋱⫖↰⪸17B7))⩍⋽⫝̸((⫖↰⪸13A9↱⫖↰⪸1010)∑⇟⊟(⫖↰⪸4B21⪇≇⋚⫖↰⪸2688)))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(((⫖↰⪸73B⩏)⇌⫙⪟(⫖↰⪸1350⫔⩽⩺⫖↰⪸3374))⨜⨶(⩦⊞⫖↰⪸3254⊉↱≁⫖↰⪸1358))⪃⊛⇣(((⇜⫖↰⪸1817)⊔(⫖↰⪸3272⫰⋱⫖↰⪸17B7))⩍⋽⫝̸((⫖↰⪸13A9↱⫖↰⪸1010)∑⇟⊟(⫖↰⪸4B21⪇≇⋚⫖↰⪸2688)))","cot":[{"info":"⫖↰⪸73B⩏=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1350⫔⩽⩺⫖↰⪸3374=NaN","layer":3},{"info":"⫖↰⪸0⇌⫙⪟NaN=NaN","layer":2},{"info":"⫖↰⪸3254⊉↱≁⫖↰⪸1358=⫖↰⪸20330","layer":3},{"info":"⩦⊞⫖↰⪸20330=⫖↰⪸-20143","layer":2},{"info":"NaN⨜⨶⫖↰⪸-20143=NaN","layer":1},{"info":"⇜⫖↰⪸1817=⫖↰⪸-117A8","layer":3},{"info":"⫖↰⪸3272⫰⋱⫖↰⪸17B7=⫖↰⪸-3245","layer":3},{"info":"⫖↰⪸-117A8⊔⫖↰⪸-3245=⫖↰⪸514A1","layer":2},{"info":"⫖↰⪸13A9↱⫖↰⪸1010=⫖↰⪸-2876","layer":3},{"info":"⫖↰⪸4B21⪇≇⋚⫖↰⪸2688=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-2876∑⇟⊟⫖↰⪸0=⫖↰⪸-2876","layer":2},{"info":"⫖↰⪸514A1⩍⋽⫝̸⫖↰⪸-2876=⫖↰⪸53A22","layer":1},{"info":"NaN⪃⊛⇣⫖↰⪸53A22=⫖↰⪸86A","layer":0}]}
{"id":117,"expression_no_base_symbol":"($1658$⪬$2396$∊∟⩊($1254$⇴∐$7206$))⪝($2791$⪭$2525$⨵⪆$1388$*$2080$)⨿(($6665$⨓$2187$)↹⊜($1014$⨎⋸⪻)⪔(∨∊⋏($6856$⫁⪎$2055$)))","expression":"(⫖↰⪸B62⪬⫖↰⪸1478∊∟⩊(⫖↰⪸886⇴∐⫖↰⪸4206))⪝(⫖↰⪸1747⪭⫖↰⪸1565⨵⪆⫖↰⪸978*⫖↰⪸1254)⨿((⫖↰⪸3A35⨓⫖↰⪸1323)↹⊜(⫖↰⪸706⨎⋸⪻)⪔(∨∊⋏(⫖↰⪸3B74⫁⪎⫖↰⪸1233)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":107061,"operation_count":14,"complexity_ratio":7647.214285714285,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1658,"base":12},"right_expr":{"type":"numeric_atoms","value":2396,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1254,"base":12},"right_expr":{"type":"numeric_atoms","value":7206,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2791,"base":12},"right_expr":{"type":"numeric_atoms","value":2525,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1388,"base":12},"right_expr":{"type":"numeric_atoms","value":2080,"base":12}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6665,"base":12},"right_expr":{"type":"numeric_atoms","value":2187,"base":12}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1014,"base":12}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6856,"base":12},"right_expr":{"type":"numeric_atoms","value":2055,"base":12}}}}},"used_operators":["abYXlopdE0","wicAB68Tmb","ddLRYrp01A","Ez1Nq5fNfI","HnzytWxmAO","2DQ55sFlQl","j9kHMeSvPp","9HNa5Wba9A","GjBEYRfMaF","9bazX3JMtO","3ViojmjbAp","Dk5vyLCiGd","R5aXW34M0v","xRrnTEsQ6j"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","IWmyXbctLI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫖↰⪸-227","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1658","layer":4},{"info":"number node, value=2396","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=2396, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1254","layer":4},{"info":"number node, value=7206","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=7206, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=10","layer":2},{"info":"number node, value=2791","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=2525, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1388","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=2080, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2887040","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=2887040, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=10, right_input=160, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=6665","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=6665, right_input=2187, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2190","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2344","layer":3},{"info":"compute binary expreesion, left_input=-2190, right_input=2344, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-18848","layer":2},{"info":"number node, value=6856","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=6856, right_input=2055, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4801","layer":3},{"info":"compute unary expreesion, input=4801, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=102023","layer":2},{"info":"compute binary expreesion, left_input=-18848, right_input=102023, 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=237, right_input=450, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B62⪬⫖↰⪸1478∊∟⩊(⫖↰⪸886⇴∐⫖↰⪸4206))⪝(⫖↰⪸1747⪭⫖↰⪸1565⨵⪆⫖↰⪸978*⫖↰⪸1254)⨿((⫖↰⪸3A35⨓⫖↰⪸1323)↹⊜(⫖↰⪸706⨎⋸⪻)⪔(∨∊⋏(⫖↰⪸3B74⫁⪎⫖↰⪸1233)))=⫖↰⪸-227","reverse_text":"⫖↰⪸-227=(⫖↰⪸B62⪬⫖↰⪸1478∊∟⩊(⫖↰⪸886⇴∐⫖↰⪸4206))⪝(⫖↰⪸1747⪭⫖↰⪸1565⨵⪆⫖↰⪸978*⫖↰⪸1254)⨿((⫖↰⪸3A35⨓⫖↰⪸1323)↹⊜(⫖↰⪸706⨎⋸⪻)⪔(∨∊⋏(⫖↰⪸3B74⫁⪎⫖↰⪸1233)))","cot":[{"info":"⫖↰⪸B62⪬⫖↰⪸1478=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸886⇴∐⫖↰⪸4206=NaN","layer":3},{"info":"⫖↰⪸86A∊∟⩊NaN=⫖↰⪸A","layer":2},{"info":"⫖↰⪸1747⪭⫖↰⪸1565=⫖↰⪸5","layer":3},{"info":"⫖↰⪸978*⫖↰⪸1254=⫖↰⪸B728A8","layer":3},{"info":"⫖↰⪸5⨵⪆⫖↰⪸B728A8=⫖↰⪸114","layer":2},{"info":"⫖↰⪸A⪝⫖↰⪸114=⫖↰⪸179","layer":1},{"info":"⫖↰⪸3A35⨓⫖↰⪸1323=⫖↰⪸-1326","layer":3},{"info":"⫖↰⪸706⨎⋸⪻=⫖↰⪸1434","layer":3},{"info":"⫖↰⪸-1326↹⊜⫖↰⪸1434=⫖↰⪸-AAA8","layer":2},{"info":"⫖↰⪸3B74⫁⪎⫖↰⪸1233=⫖↰⪸2941","layer":3},{"info":"∨∊⋏⫖↰⪸2941=⫖↰⪸4B05B","layer":2},{"info":"⫖↰⪸-AAA8⪔⫖↰⪸4B05B=⫖↰⪸316","layer":1},{"info":"⫖↰⪸179⨿⫖↰⪸316=⫖↰⪸-227","layer":0}]}
{"id":118,"expression_no_base_symbol":"(≑⋹$1822$⇻⋧≁$9305$)∴(($1811$⋣⋖$3063$)↳∿⪆($1167$⫰⋱$3764$))⨑≵⋬(($1983$⇤$7518$⨰(↯⪼$6653$))⇔⨋)","expression":"(≑⋹⫖↰⪸107A⇻⋧≁⫖↰⪸5475)∴((⫖↰⪸106B⋣⋖⫖↰⪸1933)↳∿⪆(⫖↰⪸813⫰⋱⫖↰⪸2218))⨑≵⋬((⫖↰⪸1193⇤⫖↰⪸4426⨰(↯⪼⫖↰⪸3A25))⇔⨋)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5102,"operation_count":11,"complexity_ratio":463.8181818181818,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1822,"base":12},"right_expr":{"type":"numeric_atoms","value":9305,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1811,"base":12},"right_expr":{"type":"numeric_atoms","value":3063,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1167,"base":12},"right_expr":{"type":"numeric_atoms","value":3764,"base":12}}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1983,"base":12},"right_expr":{"type":"numeric_atoms","value":7518,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6653,"base":12}}}}},"used_operators":["XnXgA4xnOs","hrf7POJlIJ","6B9nyZLogK","jCPkEVoL5K","Cw4SuJJGHO","J0M6qkBnIM","6o9Blt3TJ6","uBihLCJcMX","eewbuw0ToL","YSKBFp38Pu","8jW3W4yZS5"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫖↰⪸-42","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1822","layer":4},{"info":"number node, value=9305","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=9305, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"number node, value=1811","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=3063, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1811","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=3764","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=3764, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1134","layer":3},{"info":"compute binary expreesion, left_input=1811, right_input=-1134, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=116","layer":1},{"info":"number node, value=1983","layer":4},{"info":"number node, value=7518","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=7518, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-44657","layer":3},{"info":"number node, value=6653","layer":4},{"info":"compute unary expreesion, input=6653, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-44657, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-44626","layer":2},{"info":"compute unary expreesion, input=-44626, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":1},{"info":"compute binary expreesion, left_input=116, right_input=287, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-50","layer":0}],"base":12,"result_base":12,"text":"(≑⋹⫖↰⪸107A⇻⋧≁⫖↰⪸5475)∴((⫖↰⪸106B⋣⋖⫖↰⪸1933)↳∿⪆(⫖↰⪸813⫰⋱⫖↰⪸2218))⨑≵⋬((⫖↰⪸1193⇤⫖↰⪸4426⨰(↯⪼⫖↰⪸3A25))⇔⨋)=⫖↰⪸-42","reverse_text":"⫖↰⪸-42=(≑⋹⫖↰⪸107A⇻⋧≁⫖↰⪸5475)∴((⫖↰⪸106B⋣⋖⫖↰⪸1933)↳∿⪆(⫖↰⪸813⫰⋱⫖↰⪸2218))⨑≵⋬((⫖↰⪸1193⇤⫖↰⪸4426⨰(↯⪼⫖↰⪸3A25))⇔⨋)","cot":[{"info":"⫖↰⪸107A⇻⋧≁⫖↰⪸5475=⫖↰⪸-313","layer":3},{"info":"≑⋹⫖↰⪸-313=⫖↰⪸-53A","layer":2},{"info":"⫖↰⪸106B⋣⋖⫖↰⪸1933=⫖↰⪸106B","layer":3},{"info":"⫖↰⪸813⫰⋱⫖↰⪸2218=⫖↰⪸-7A6","layer":3},{"info":"⫖↰⪸106B↳∿⪆⫖↰⪸-7A6=NaN","layer":2},{"info":"⫖↰⪸-53A∴NaN=⫖↰⪸98","layer":1},{"info":"⫖↰⪸1193⇤⫖↰⪸4426=⫖↰⪸-21A15","layer":3},{"info":"↯⪼⫖↰⪸3A25=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-21A15⨰⫖↰⪸-19=⫖↰⪸-219AA","layer":2},{"info":"⫖↰⪸-219AA⇔⨋=⫖↰⪸1BB","layer":1},{"info":"⫖↰⪸98⨑≵⋬⫖↰⪸1BB=⫖↰⪸-42","layer":0}]}
{"id":119,"expression_no_base_symbol":"(($4160$⨼⩣$1732$)⋹⋡⊁(⫶⊄≣$2234$)⋛($5215$∑⇟⊟$2257$⊭↱$2439$⪃⊛⇣$6635$))⊉↱≁(($1458$⨜⨶$2433$∲⫓($2236$+$3496$))⩵∡(↥$1538$)⪟⇏(⪛⨧$1584$))","expression":"((⫖↰⪸24A8⨼⩣⫖↰⪸1004)⋹⋡⊁(⫶⊄≣⫖↰⪸1362)⋛(⫖↰⪸3027∑⇟⊟⫖↰⪸1381⊭↱⫖↰⪸14B3⪃⊛⇣⫖↰⪸3A0B))⊉↱≁((⫖↰⪸A16⨜⨶⫖↰⪸14A9∲⫓(⫖↰⪸1364+⫖↰⪸2034))⩵∡(↥⫖↰⪸A82)⪟⇏(⪛⨧⫖↰⪸B00))","highest_n_order":4,"priority_hierarchical_complexity":15,"normalized_expansion_degree":65937,"operation_count":15,"complexity_ratio":4395.8,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4160,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2234,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5215,"base":12},"right_expr":{"type":"numeric_atoms","value":2257,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2439,"base":12},"right_expr":{"type":"numeric_atoms","value":6635,"base":12}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1458,"base":12},"right_expr":{"type":"numeric_atoms","value":2433,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2236,"base":12},"right_expr":{"type":"numeric_atoms","value":3496,"base":12}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1538,"base":12}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1584,"base":12}}}}},"used_operators":["w2P8NbNXyL","YbUVn0Rbpy","As8RqfVLgs","JxwMv5le6e","wxb3vTeyAj","COABgblf1C","U7g4x0WXJJ","rrgAzCduG9","Y7wcNGrDQJ","i8ToyICDmI","HiPekx5b7W","W4YGzv6Whe","GODebY97qR","A8NUZmVepG","6NJAcO2OWT"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","k8jYdgA6NY","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4160","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=4160, right_input=1732, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2234","layer":4},{"info":"compute unary expreesion, input=2234, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=89870509","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=89870509, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=89871259","layer":2},{"info":"number node, value=5215","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=5215, right_input=2257, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2439","layer":4},{"info":"number node, value=6635","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=6635, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=89871259, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"number node, value=1458","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=2433, 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=-4610","layer":3},{"info":"number node, value=2236","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=3496, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5732","layer":3},{"info":"compute binary expreesion, left_input=-4610, right_input=5732, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":3},{"info":"number node, value=1584","layer":4},{"info":"compute unary expreesion, input=1584, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4569","layer":3},{"info":"compute binary expreesion, left_input=8, right_input=4569, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-121","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-121, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸24A8⨼⩣⫖↰⪸1004)⋹⋡⊁(⫶⊄≣⫖↰⪸1362)⋛(⫖↰⪸3027∑⇟⊟⫖↰⪸1381⊭↱⫖↰⪸14B3⪃⊛⇣⫖↰⪸3A0B))⊉↱≁((⫖↰⪸A16⨜⨶⫖↰⪸14A9∲⫓(⫖↰⪸1364+⫖↰⪸2034))⩵∡(↥⫖↰⪸A82)⪟⇏(⪛⨧⫖↰⪸B00))=NaN","reverse_text":"NaN=((⫖↰⪸24A8⨼⩣⫖↰⪸1004)⋹⋡⊁(⫶⊄≣⫖↰⪸1362)⋛(⫖↰⪸3027∑⇟⊟⫖↰⪸1381⊭↱⫖↰⪸14B3⪃⊛⇣⫖↰⪸3A0B))⊉↱≁((⫖↰⪸A16⨜⨶⫖↰⪸14A9∲⫓(⫖↰⪸1364+⫖↰⪸2034))⩵∡(↥⫖↰⪸A82)⪟⇏(⪛⨧⫖↰⪸B00))","cot":[{"info":"⫖↰⪸24A8⨼⩣⫖↰⪸1004=NaN","layer":3},{"info":"⫶⊄≣⫖↰⪸1362=⫖↰⪸26120491","layer":3},{"info":"NaN⋹⋡⊁⫖↰⪸26120491=⫖↰⪸261209B7","layer":2},{"info":"⫖↰⪸3027∑⇟⊟⫖↰⪸1381=NaN","layer":3},{"info":"⫖↰⪸14B3⪃⊛⇣⫖↰⪸3A0B=⫖↰⪸86A","layer":3},{"info":"NaN⊭↱⫖↰⪸86A=NaN","layer":2},{"info":"⫖↰⪸261209B7⋛NaN=NaN","layer":1},{"info":"⫖↰⪸A16⨜⨶⫖↰⪸14A9=⫖↰⪸-2802","layer":3},{"info":"⫖↰⪸1364+⫖↰⪸2034=⫖↰⪸3398","layer":3},{"info":"⫖↰⪸-2802∲⫓⫖↰⪸3398=⫖↰⪸0","layer":2},{"info":"↥⫖↰⪸A82=⫖↰⪸8","layer":3},{"info":"⪛⨧⫖↰⪸B00=⫖↰⪸2789","layer":3},{"info":"⫖↰⪸8⪟⇏⫖↰⪸2789=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⩵∡⫖↰⪸0=⫖↰⪸-A1","layer":1},{"info":"NaN⊉↱≁⫖↰⪸-A1=NaN","layer":0}]}
{"id":120,"expression_no_base_symbol":"(⋎⨆($2783$≀⫉$4618$)⪝(≉$6776$))⋖∅⋲","expression":"(⋎⨆(⫖↰⪸173B≀⫉⫖↰⪸280A)⪝(≉⫖↰⪸3B08))⋖∅⋲","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":629,"operation_count":5,"complexity_ratio":125.8,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2783,"base":12},"right_expr":{"type":"numeric_atoms","value":4618,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6776,"base":12}}}}},"used_operators":["L95AwlJzhO","E64sFOc4tB","wicAB68Tmb","oZj3VtZNQx","e1ybzncUwg"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2783","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=4618, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=6776","layer":4},{"info":"compute unary expreesion, input=6776, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7307","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=7307, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"compute unary expreesion, input=237, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⋎⨆(⫖↰⪸173B≀⫉⫖↰⪸280A)⪝(≉⫖↰⪸3B08))⋖∅⋲=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⋎⨆(⫖↰⪸173B≀⫉⫖↰⪸280A)⪝(≉⫖↰⪸3B08))⋖∅⋲","cot":[{"info":"⫖↰⪸173B≀⫉⫖↰⪸280A=⫖↰⪸1772","layer":3},{"info":"≉⫖↰⪸3B08=⫖↰⪸428B","layer":3},{"info":"⫖↰⪸1772⪝⫖↰⪸428B=⫖↰⪸179","layer":2},{"info":"⋎⨆⫖↰⪸179=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⋖∅⋲=⫖↰⪸0","layer":0}]}
{"id":121,"expression_no_base_symbol":"((($1185$⊿∆)∲⫓$2011$⊋≦⊧$1629$)⫳≱↱($1085$∷$2287$⊾⪯⋞$1631$⨽$1008$))⇻⋧≁(($3546$⩒⫫$5058$)⨿($2284$+$1081$)⊝⪿⪼($2177$⋹)⫣⪄⊒($5564$⨫⇇↔$2150$))","expression":"(((⫖↰⪸829⊿∆)∲⫓⫖↰⪸11B7⊋≦⊧⫖↰⪸B39)⫳≱↱(⫖↰⪸765∷⫖↰⪸13A7⊾⪯⋞⫖↰⪸B3B⨽⫖↰⪸700))⇻⋧≁((⫖↰⪸2076⩒⫫⫖↰⪸2B16)⨿(⫖↰⪸13A4+⫖↰⪸761)⊝⪿⪼(⫖↰⪸1315⋹)⫣⪄⊒(⫖↰⪸3278⨫⇇↔⫖↰⪸12B2))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2347,"operation_count":15,"complexity_ratio":156.46666666666667,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1185,"base":12}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2011,"base":12},"right_expr":{"type":"numeric_atoms","value":1629,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1085,"base":12},"right_expr":{"type":"numeric_atoms","value":2287,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1631,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3546,"base":12},"right_expr":{"type":"numeric_atoms","value":5058,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2284,"base":12},"right_expr":{"type":"numeric_atoms","value":1081,"base":12}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2177,"base":12}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5564,"base":12},"right_expr":{"type":"numeric_atoms","value":2150,"base":12}}}}},"used_operators":["jCPkEVoL5K","ZvLB05nZmT","i8ToyICDmI","fv3ZujxkQL","oRDoc9rAEX","HK0tfVPux8","D3AQDKkPcf","8HhzD0ZcuI","3Oe9XWJUTD","abYXlopdE0","KFSx94NKJn","W4YGzv6Whe","RabNbG55vr","opAxDRczMr","LXhwmt4mBO"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","NTOWxs364D","7j4O788W3g","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⫖↰⪸-1466B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":4},{"info":"compute unary expreesion, input=1185, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2491","layer":3},{"info":"number node, value=2011","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=1629, 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=-3018","layer":3},{"info":"compute binary expreesion, left_input=-2491, right_input=-3018, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-2491","layer":2},{"info":"number node, value=1085","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=2287, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2287","layer":3},{"info":"number node, value=1631","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1008, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7982193","layer":3},{"info":"compute binary expreesion, left_input=2287, right_input=-7982193, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=-2491, right_input=-820, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":1},{"info":"number node, value=3546","layer":4},{"info":"number node, value=5058","layer":4},{"info":"compute binary expreesion, left_input=3546, right_input=5058, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3244","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=1081, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3365","layer":3},{"info":"compute binary expreesion, left_input=3244, right_input=3365, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=2177","layer":4},{"info":"compute unary expreesion, input=2177, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=5564","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=5564, right_input=2150, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=-527, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=160, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=5147","layer":1},{"info":"compute binary expreesion, left_input=-2802, right_input=5147, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-28595","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸829⊿∆)∲⫓⫖↰⪸11B7⊋≦⊧⫖↰⪸B39)⫳≱↱(⫖↰⪸765∷⫖↰⪸13A7⊾⪯⋞⫖↰⪸B3B⨽⫖↰⪸700))⇻⋧≁((⫖↰⪸2076⩒⫫⫖↰⪸2B16)⨿(⫖↰⪸13A4+⫖↰⪸761)⊝⪿⪼(⫖↰⪸1315⋹)⫣⪄⊒(⫖↰⪸3278⨫⇇↔⫖↰⪸12B2))=⫖↰⪸-1466B","reverse_text":"⫖↰⪸-1466B=(((⫖↰⪸829⊿∆)∲⫓⫖↰⪸11B7⊋≦⊧⫖↰⪸B39)⫳≱↱(⫖↰⪸765∷⫖↰⪸13A7⊾⪯⋞⫖↰⪸B3B⨽⫖↰⪸700))⇻⋧≁((⫖↰⪸2076⩒⫫⫖↰⪸2B16)⨿(⫖↰⪸13A4+⫖↰⪸761)⊝⪿⪼(⫖↰⪸1315⋹)⫣⪄⊒(⫖↰⪸3278⨫⇇↔⫖↰⪸12B2))","cot":[{"info":"⫖↰⪸829⊿∆=⫖↰⪸-1537","layer":3},{"info":"⫖↰⪸11B7⊋≦⊧⫖↰⪸B39=⫖↰⪸-18B6","layer":3},{"info":"⫖↰⪸-1537∲⫓⫖↰⪸-18B6=⫖↰⪸-1537","layer":2},{"info":"⫖↰⪸765∷⫖↰⪸13A7=⫖↰⪸13A7","layer":3},{"info":"⫖↰⪸B3B⨽⫖↰⪸700=⫖↰⪸-280B3A9","layer":3},{"info":"⫖↰⪸13A7⊾⪯⋞⫖↰⪸-280B3A9=⫖↰⪸-584","layer":2},{"info":"⫖↰⪸-1537⫳≱↱⫖↰⪸-584=⫖↰⪸-1756","layer":1},{"info":"⫖↰⪸2076⩒⫫⫖↰⪸2B16=⫖↰⪸1A64","layer":3},{"info":"⫖↰⪸13A4+⫖↰⪸761=⫖↰⪸1B45","layer":3},{"info":"⫖↰⪸1A64⨿⫖↰⪸1B45=⫖↰⪸-227","layer":2},{"info":"⫖↰⪸1315⋹=⫖↰⪸-18","layer":3},{"info":"⫖↰⪸3278⨫⇇↔⫖↰⪸12B2=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸-18⫣⪄⊒⫖↰⪸-37B=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-227⊝⪿⪼⫖↰⪸114=⫖↰⪸2B8B","layer":1},{"info":"⫖↰⪸-1756⇻⋧≁⫖↰⪸2B8B=⫖↰⪸-1466B","layer":0}]}
{"id":122,"expression_no_base_symbol":"(↴⪽⋼($1699$∴$3275$⨵⪆(∮$2576$)))⨵⪆(≘($1108$⪨≂$6999$))≨($1649$≨$3426$∠⫱$3181$⊲⩕⊾$1071$)","expression":"(↴⪽⋼(⫖↰⪸B97∴⫖↰⪸1A8B⨵⪆(∮⫖↰⪸15A8)))⨵⪆(≘(⫖↰⪸784⪨≂⫖↰⪸4073))≨(⫖↰⪸B55≨⫖↰⪸1B96∠⫱⫖↰⪸1A11⊲⩕⊾⫖↰⪸753)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":693,"operation_count":11,"complexity_ratio":63.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1699,"base":12},"right_expr":{"type":"numeric_atoms","value":3275,"base":12}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2576,"base":12}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1108,"base":12},"right_expr":{"type":"numeric_atoms","value":6999,"base":12}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1649,"base":12},"right_expr":{"type":"numeric_atoms","value":3426,"base":12}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3181,"base":12},"right_expr":{"type":"numeric_atoms","value":1071,"base":12}}}}},"used_operators":["2DQ55sFlQl","5TUYCnJO6w","hrf7POJlIJ","CqXKPLVYql","0KMCeP1Jsh","tcjXMdvYtA","sdazOOVcIp","QvoQhV0rrE","DmTXOeWf9t"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1699","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=3275, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5046","layer":3},{"info":"number node, value=2576","layer":4},{"info":"compute unary expreesion, input=2576, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=5046, right_input=67, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=160","layer":1},{"info":"number node, value=1108","layer":4},{"info":"number node, value=6999","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=6999, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11680","layer":3},{"info":"compute unary expreesion, input=-11680, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6867578","layer":2},{"info":"number node, value=1649","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=3426, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-14014","layer":3},{"info":"number node, value=3181","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=1071, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-58236","layer":3},{"info":"compute binary expreesion, left_input=-14014, right_input=-58236, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=44222","layer":2},{"info":"compute binary expreesion, left_input=6867578, right_input=44222, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-68673304","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-68673304, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(↴⪽⋼(⫖↰⪸B97∴⫖↰⪸1A8B⨵⪆(∮⫖↰⪸15A8)))⨵⪆(≘(⫖↰⪸784⪨≂⫖↰⪸4073))≨(⫖↰⪸B55≨⫖↰⪸1B96∠⫱⫖↰⪸1A11⊲⩕⊾⫖↰⪸753)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(↴⪽⋼(⫖↰⪸B97∴⫖↰⪸1A8B⨵⪆(∮⫖↰⪸15A8)))⨵⪆(≘(⫖↰⪸784⪨≂⫖↰⪸4073))≨(⫖↰⪸B55≨⫖↰⪸1B96∠⫱⫖↰⪸1A11⊲⩕⊾⫖↰⪸753)","cot":[{"info":"⫖↰⪸B97∴⫖↰⪸1A8B=⫖↰⪸2B06","layer":3},{"info":"∮⫖↰⪸15A8=⫖↰⪸57","layer":3},{"info":"⫖↰⪸2B06⨵⪆⫖↰⪸57=⫖↰⪸114","layer":2},{"info":"↴⪽⋼⫖↰⪸114=⫖↰⪸114","layer":1},{"info":"⫖↰⪸784⪨≂⫖↰⪸4073=⫖↰⪸-6914","layer":3},{"info":"≘⫖↰⪸-6914=⫖↰⪸2372362","layer":2},{"info":"⫖↰⪸B55≨⫖↰⪸1B96=⫖↰⪸-813A","layer":3},{"info":"⫖↰⪸1A11⊲⩕⊾⫖↰⪸753=⫖↰⪸-29850","layer":3},{"info":"⫖↰⪸-813A∠⫱⫖↰⪸-29850=⫖↰⪸21712","layer":2},{"info":"⫖↰⪸2372362≨⫖↰⪸21712=⫖↰⪸-1ABB95B4","layer":1},{"info":"⫖↰⪸114⨵⪆⫖↰⪸-1ABB95B4=⫖↰⪸114","layer":0}]}
{"id":123,"expression_no_base_symbol":"(≦∁$5333$⪇≇⋚$3570$)≬⇓(⫇$2648$)⪚($3670$⩱)⫦⪉($2582$⊝⪿⪼$1179$⨐⩸⫘$1309$⨜⨶$8102$)↓($1247$≁↽≥$4544$⪛($3653$↬$2489$))","expression":"(≦∁⫖↰⪸3105⪇≇⋚⫖↰⪸2096)≬⇓(⫇⫖↰⪸1648)⪚(⫖↰⪸215A⩱)⫦⪉(⫖↰⪸15B2⊝⪿⪼⫖↰⪸823⨐⩸⫘⫖↰⪸911⨜⨶⫖↰⪸4832)↓(⫖↰⪸87B≁↽≥⫖↰⪸2768⪛(⫖↰⪸2145↬⫖↰⪸1535))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1599,"operation_count":14,"complexity_ratio":114.21428571428571,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5333,"base":12},"right_expr":{"type":"numeric_atoms","value":3570,"base":12}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2648,"base":12}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":3670,"base":12}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2582,"base":12},"right_expr":{"type":"numeric_atoms","value":1179,"base":12}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1309,"base":12},"right_expr":{"type":"numeric_atoms","value":8102,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1247,"base":12},"right_expr":{"type":"numeric_atoms","value":4544,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3653,"base":12},"right_expr":{"type":"numeric_atoms","value":2489,"base":12}}}}},"used_operators":["wscyQdcy20","jWTQ2TZYIH","9ICcGScMcE","3sJ7IOPOlU","HrjLwUk87U","YjI8oCXuph","uyq1hVkAcj","Af076pWI7l","fu6greOZ01","3Oe9XWJUTD","HiPekx5b7W","uFcxV4UQCh","ncHt1X6cMc","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","3ViojmjbAp","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","oWn0xqSxBt","3Oe9XWJUTD","rGHVDoGpnC"],"result":"⫖↰⪸-861974","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5333","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=5333, right_input=3570, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"number node, value=2648","layer":4},{"info":"compute unary expreesion, input=2648, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4082","layer":3},{"info":"number node, value=3670","layer":4},{"info":"compute unary expreesion, input=3670, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-22270","layer":3},{"info":"compute binary expreesion, left_input=-4082, right_input=-22270, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=7288","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=7288, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=1061542","layer":1},{"info":"number node, value=2582","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=1179, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41052","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=8102","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=8102, 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=-15948","layer":3},{"info":"compute binary expreesion, left_input=41052, right_input=-15948, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1247","layer":4},{"info":"number node, value=4544","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=4544, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28637","layer":3},{"info":"number node, value=3653","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=2489, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=28637, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=1061542, right_input=-134, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2118184","layer":0}],"base":12,"result_base":12,"text":"(≦∁⫖↰⪸3105⪇≇⋚⫖↰⪸2096)≬⇓(⫇⫖↰⪸1648)⪚(⫖↰⪸215A⩱)⫦⪉(⫖↰⪸15B2⊝⪿⪼⫖↰⪸823⨐⩸⫘⫖↰⪸911⨜⨶⫖↰⪸4832)↓(⫖↰⪸87B≁↽≥⫖↰⪸2768⪛(⫖↰⪸2145↬⫖↰⪸1535))=⫖↰⪸-861974","reverse_text":"⫖↰⪸-861974=(≦∁⫖↰⪸3105⪇≇⋚⫖↰⪸2096)≬⇓(⫇⫖↰⪸1648)⪚(⫖↰⪸215A⩱)⫦⪉(⫖↰⪸15B2⊝⪿⪼⫖↰⪸823⨐⩸⫘⫖↰⪸911⨜⨶⫖↰⪸4832)↓(⫖↰⪸87B≁↽≥⫖↰⪸2768⪛(⫖↰⪸2145↬⫖↰⪸1535))","cot":[{"info":"⫖↰⪸3105⪇≇⋚⫖↰⪸2096=⫖↰⪸0","layer":3},{"info":"≦∁⫖↰⪸0=⫖↰⪸-228","layer":2},{"info":"⫇⫖↰⪸1648=⫖↰⪸-2442","layer":3},{"info":"⫖↰⪸215A⩱=⫖↰⪸-10A7A","layer":3},{"info":"⫖↰⪸-2442⪚⫖↰⪸-10A7A=⫖↰⪸4274","layer":2},{"info":"⫖↰⪸-228≬⇓⫖↰⪸4274=⫖↰⪸43239A","layer":1},{"info":"⫖↰⪸15B2⊝⪿⪼⫖↰⪸823=⫖↰⪸1B910","layer":3},{"info":"⫖↰⪸911⨜⨶⫖↰⪸4832=⫖↰⪸-9290","layer":3},{"info":"⫖↰⪸1B910⨐⩸⫘⫖↰⪸-9290=NaN","layer":2},{"info":"⫖↰⪸87B≁↽≥⫖↰⪸2768=⫖↰⪸146A5","layer":3},{"info":"⫖↰⪸2145↬⫖↰⪸1535=NaN","layer":3},{"info":"⫖↰⪸146A5⪛NaN=NaN","layer":2},{"info":"NaN↓NaN=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸43239A⫦⪉⫖↰⪸-B2=⫖↰⪸-861974","layer":0}]}
{"id":124,"expression_no_base_symbol":"(($1781$≳⇉$1062$)⨼⩣$1152$⨽∌$3922$≄⊠($3547$≒∊$1024$)⪢($1238$⫦⪉$1133$))⫯⪬∳(($2185$⨸$1784$≭($1495$≬⋮$3847$))⇞)","expression":"((⫖↰⪸1045≳⇉⫖↰⪸746)⨼⩣⫖↰⪸800⨽∌⫖↰⪸232A≄⊠(⫖↰⪸2077≒∊⫖↰⪸714)⪢(⫖↰⪸872⫦⪉⫖↰⪸7A5))⫯⪬∳((⫖↰⪸1321⨸⫖↰⪸1048≭(⫖↰⪸A47≬⋮⫖↰⪸2287))⇞)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18530412,"operation_count":12,"complexity_ratio":1544201.0,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1781,"base":12},"right_expr":{"type":"numeric_atoms","value":1062,"base":12}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1152,"base":12},"right_expr":{"type":"numeric_atoms","value":3922,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3547,"base":12},"right_expr":{"type":"numeric_atoms","value":1024,"base":12}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1238,"base":12},"right_expr":{"type":"numeric_atoms","value":1133,"base":12}}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2185,"base":12},"right_expr":{"type":"numeric_atoms","value":1784,"base":12}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1495,"base":12},"right_expr":{"type":"numeric_atoms","value":3847,"base":12}}}}},"used_operators":["d7ASUq0ydm","vXNesLlMH1","JxwMv5le6e","V0kx6qeWkN","9samAPKr6k","dWAJyo7jo9","5KTvxBwnZo","wscyQdcy20","5JYyxRJd4f","rxpJgHHUmx","KmoU8R5UQR","kbkesczE7y"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","k8jYdgA6NY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","AHs5Up7iyr","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⫖↰⪸2787","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1781","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=1062, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=3922, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=3547","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=1024, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3063","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1133, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2424","layer":3},{"info":"compute binary expreesion, left_input=-3063, right_input=2424, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=2185","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=1784, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4370","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=3847","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=3847, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=4370, right_input=868, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4567","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1045≳⇉⫖↰⪸746)⨼⩣⫖↰⪸800⨽∌⫖↰⪸232A≄⊠(⫖↰⪸2077≒∊⫖↰⪸714)⪢(⫖↰⪸872⫦⪉⫖↰⪸7A5))⫯⪬∳((⫖↰⪸1321⨸⫖↰⪸1048≭(⫖↰⪸A47≬⋮⫖↰⪸2287))⇞)=⫖↰⪸2787","reverse_text":"⫖↰⪸2787=((⫖↰⪸1045≳⇉⫖↰⪸746)⨼⩣⫖↰⪸800⨽∌⫖↰⪸232A≄⊠(⫖↰⪸2077≒∊⫖↰⪸714)⪢(⫖↰⪸872⫦⪉⫖↰⪸7A5))⫯⪬∳((⫖↰⪸1321⨸⫖↰⪸1048≭(⫖↰⪸A47≬⋮⫖↰⪸2287))⇞)","cot":[{"info":"⫖↰⪸1045≳⇉⫖↰⪸746=NaN","layer":3},{"info":"⫖↰⪸800⨽∌⫖↰⪸232A=⫖↰⪸0","layer":3},{"info":"NaN⨼⩣⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸2077≒∊⫖↰⪸714=⫖↰⪸-1933","layer":3},{"info":"⫖↰⪸872⫦⪉⫖↰⪸7A5=⫖↰⪸14A0","layer":3},{"info":"⫖↰⪸-1933⪢⫖↰⪸14A0=NaN","layer":2},{"info":"NaN≄⊠NaN=⫖↰⪸A50","layer":1},{"info":"⫖↰⪸1321⨸⫖↰⪸1048=⫖↰⪸2642","layer":3},{"info":"⫖↰⪸A47≬⋮⫖↰⪸2287=⫖↰⪸604","layer":3},{"info":"⫖↰⪸2642≭⫖↰⪸604=NaN","layer":2},{"info":"NaN⇞=NaN","layer":1},{"info":"⫖↰⪸A50⫯⪬∳NaN=⫖↰⪸2787","layer":0}]}
{"id":125,"expression_no_base_symbol":"(⋣(∜⨇($1559$⩹$1715$)))⪍↜⋙(($1454$⊝⪿⪼$2565$)⇍⊗($2186$⪔$5489$))∺≝⩲($3904$⨥⫆$1052$⩧⪆($8478$∖$1933$))","expression":"(⋣(∜⨇(⫖↰⪸A9B⩹⫖↰⪸BAB)))⪍↜⋙((⫖↰⪸A12⊝⪿⪼⫖↰⪸1599)⇍⊗(⫖↰⪸1322⪔⫖↰⪸3215))∺≝⩲(⫖↰⪸2314⨥⫆⫖↰⪸738⩧⪆(⫖↰⪸4AA6∖⫖↰⪸1151))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6125,"operation_count":11,"complexity_ratio":556.8181818181819,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1559,"base":12},"right_expr":{"type":"numeric_atoms","value":1715,"base":12}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1454,"base":12},"right_expr":{"type":"numeric_atoms","value":2565,"base":12}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2186,"base":12},"right_expr":{"type":"numeric_atoms","value":5489,"base":12}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3904,"base":12},"right_expr":{"type":"numeric_atoms","value":1052,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":8478,"base":12},"right_expr":{"type":"numeric_atoms","value":1933,"base":12}}}}},"used_operators":["L05ObWFQCd","zQWRhDnn8F","uFPyJr306J","2Wsdkap16l","KPf6cnQVty","5uvYHDjeKN","3Oe9XWJUTD","GjBEYRfMaF","Ikt5ks8PT7","yXekIHxTD4","tXD093vOjl"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eewbuw0ToL","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⫖↰⪸-38A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1559","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=1715, 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=1713","layer":3},{"info":"compute unary expreesion, input=1713, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":1},{"info":"number node, value=1454","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=2565, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=31742","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=5489","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=5489, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=31742, right_input=450, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3904","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3904, right_input=1052, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=1980","layer":3},{"info":"number node, value=8478","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=8478, right_input=1933, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1980, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=160, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-538","layer":0}],"base":12,"result_base":12,"text":"(⋣(∜⨇(⫖↰⪸A9B⩹⫖↰⪸BAB)))⪍↜⋙((⫖↰⪸A12⊝⪿⪼⫖↰⪸1599)⇍⊗(⫖↰⪸1322⪔⫖↰⪸3215))∺≝⩲(⫖↰⪸2314⨥⫆⫖↰⪸738⩧⪆(⫖↰⪸4AA6∖⫖↰⪸1151))=⫖↰⪸-38A","reverse_text":"⫖↰⪸-38A=(⋣(∜⨇(⫖↰⪸A9B⩹⫖↰⪸BAB)))⪍↜⋙((⫖↰⪸A12⊝⪿⪼⫖↰⪸1599)⇍⊗(⫖↰⪸1322⪔⫖↰⪸3215))∺≝⩲(⫖↰⪸2314⨥⫆⫖↰⪸738⩧⪆(⫖↰⪸4AA6∖⫖↰⪸1151))","cot":[{"info":"⫖↰⪸A9B⩹⫖↰⪸BAB=⫖↰⪸BA9","layer":3},{"info":"∜⨇⫖↰⪸BA9=NaN","layer":2},{"info":"⋣NaN=⫖↰⪸-95","layer":1},{"info":"⫖↰⪸A12⊝⪿⪼⫖↰⪸1599=⫖↰⪸16452","layer":3},{"info":"⫖↰⪸1322⪔⫖↰⪸3215=⫖↰⪸316","layer":3},{"info":"⫖↰⪸16452⇍⊗⫖↰⪸316=⫖↰⪸-184","layer":2},{"info":"⫖↰⪸2314⨥⫆⫖↰⪸738=⫖↰⪸1190","layer":3},{"info":"⫖↰⪸4AA6∖⫖↰⪸1151=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1190⩧⪆⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-184∺≝⩲⫖↰⪸0=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-95⪍↜⋙⫖↰⪸114=⫖↰⪸-38A","layer":0}]}
{"id":126,"expression_no_base_symbol":"($2862$⨵⪆$1038$)⨸(⋃$3059$)≁($5201$⋥⋵⩄$3031$⫃⨇$5014$⪛$3707$)⊾⪯⋞(⪨⨬($5423$⋝⋈⪟$2774$⪉⨛($1509$⪗)))","expression":"(⫖↰⪸17A6⨵⪆⫖↰⪸726)⨸(⋃⫖↰⪸192B)≁(⫖↰⪸3015⋥⋵⩄⫖↰⪸1907⫃⨇⫖↰⪸2A9A⪛⫖↰⪸218B)⊾⪯⋞(⪨⨬(⫖↰⪸317B⋝⋈⪟⫖↰⪸1732⪉⨛(⫖↰⪸A59⪗)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2025,"operation_count":12,"complexity_ratio":168.75,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2862,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3059,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5201,"base":12},"right_expr":{"type":"numeric_atoms","value":3031,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5014,"base":12},"right_expr":{"type":"numeric_atoms","value":3707,"base":12}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5423,"base":12},"right_expr":{"type":"numeric_atoms","value":2774,"base":12}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1509,"base":12}}}}},"used_operators":["HK0tfVPux8","8N2wDY1A35","KmoU8R5UQR","2DQ55sFlQl","3mBM5G4a3l","09Ly4LVMIf","7t3wd0Fuz7","uFcxV4UQCh","5obUd6DV38","EWw2JM7wp4","2DDjHMKMc0","VEQNXA0ZBg"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","T2fj7uvVaJ","nlCqmYiOvY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2862","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=1038, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3059","layer":4},{"info":"compute unary expreesion, input=3059, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6220","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6220, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=320","layer":2},{"info":"number node, value=5201","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=5201, right_input=3031, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=5014","layer":4},{"info":"number node, value=3707","layer":4},{"info":"compute binary expreesion, left_input=5014, right_input=3707, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1307","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1307, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5260","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=-5260, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-157769","layer":1},{"info":"number node, value=5423","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=5423, right_input=2774, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5423","layer":3},{"info":"number node, value=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5423, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-157769, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸17A6⨵⪆⫖↰⪸726)⨸(⋃⫖↰⪸192B)≁(⫖↰⪸3015⋥⋵⩄⫖↰⪸1907⫃⨇⫖↰⪸2A9A⪛⫖↰⪸218B)⊾⪯⋞(⪨⨬(⫖↰⪸317B⋝⋈⪟⫖↰⪸1732⪉⨛(⫖↰⪸A59⪗)))=NaN","reverse_text":"NaN=(⫖↰⪸17A6⨵⪆⫖↰⪸726)⨸(⋃⫖↰⪸192B)≁(⫖↰⪸3015⋥⋵⩄⫖↰⪸1907⫃⨇⫖↰⪸2A9A⪛⫖↰⪸218B)⊾⪯⋞(⪨⨬(⫖↰⪸317B⋝⋈⪟⫖↰⪸1732⪉⨛(⫖↰⪸A59⪗)))","cot":[{"info":"⫖↰⪸17A6⨵⪆⫖↰⪸726=⫖↰⪸114","layer":3},{"info":"⋃⫖↰⪸192B=⫖↰⪸3724","layer":3},{"info":"⫖↰⪸114⨸⫖↰⪸3724=⫖↰⪸228","layer":2},{"info":"⫖↰⪸3015⋥⋵⩄⫖↰⪸1907=⫖↰⪸95","layer":3},{"info":"⫖↰⪸2A9A⪛⫖↰⪸218B=⫖↰⪸90B","layer":3},{"info":"⫖↰⪸95⫃⨇⫖↰⪸90B=⫖↰⪸-3064","layer":2},{"info":"⫖↰⪸228≁⫖↰⪸-3064=⫖↰⪸-77375","layer":1},{"info":"⫖↰⪸317B⋝⋈⪟⫖↰⪸1732=⫖↰⪸317B","layer":3},{"info":"⫖↰⪸A59⪗=NaN","layer":3},{"info":"⫖↰⪸317B⪉⨛NaN=NaN","layer":2},{"info":"⪨⨬NaN=NaN","layer":1},{"info":"⫖↰⪸-77375⊾⪯⋞NaN=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"(($1094$↙$8175$)⩇∃⫛($2040$∕⩚$3121$))⨥⫆(∜⨇(⇉-⫰$2469$))⪶≀⋏((($3759$⫑%∭)⪥⨬⪅)⪔($4124$⊮⊟↴$1739$⪹))","expression":"((⫖↰⪸772↙⫖↰⪸4893)⩇∃⫛(⫖↰⪸1220∕⩚⫖↰⪸1981))⨥⫆(∜⨇(⇉-⫰⫖↰⪸1519))⪶≀⋏(((⫖↰⪸2213⫑%∭)⪥⨬⪅)⪔(⫖↰⪸2478⊮⊟↴⫖↰⪸100B⪹))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16116,"operation_count":12,"complexity_ratio":1343.0,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1094,"base":12},"right_expr":{"type":"numeric_atoms","value":8175,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2040,"base":12},"right_expr":{"type":"numeric_atoms","value":3121,"base":12}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2469,"base":12}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":3759,"base":12}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4124,"base":12},"right_expr":{"type":"numeric_atoms","value":1739,"base":12}}}}},"used_operators":["zR4jO40bMj","yXekIHxTD4","1aApVXNlOP","yyfyN0ffXY","z9ffQ9n5Zr","uFPyJr306J","IGFM8TAlm9","GjBEYRfMaF","zNRQejTB5A","xUx7qlDO4z","B3sABdIn96","QDVgd2eftb"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eH2TOUuTDT","eewbuw0ToL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=8175","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=8175, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-24525","layer":3},{"info":"number node, value=2040","layer":4},{"info":"number node, value=3121","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=3121, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2043","layer":3},{"info":"compute binary expreesion, left_input=-24525, right_input=-2043, 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=-24525","layer":2},{"info":"number node, value=2469","layer":4},{"info":"compute unary expreesion, input=2469, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-24525, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"number node, value=3759","layer":4},{"info":"compute unary expreesion, input=3759, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=nan","layer":2},{"info":"number node, value=4124","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=4124, right_input=1739, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=4492","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4492, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸772↙⫖↰⪸4893)⩇∃⫛(⫖↰⪸1220∕⩚⫖↰⪸1981))⨥⫆(∜⨇(⇉-⫰⫖↰⪸1519))⪶≀⋏(((⫖↰⪸2213⫑%∭)⪥⨬⪅)⪔(⫖↰⪸2478⊮⊟↴⫖↰⪸100B⪹))=NaN","reverse_text":"NaN=((⫖↰⪸772↙⫖↰⪸4893)⩇∃⫛(⫖↰⪸1220∕⩚⫖↰⪸1981))⨥⫆(∜⨇(⇉-⫰⫖↰⪸1519))⪶≀⋏(((⫖↰⪸2213⫑%∭)⪥⨬⪅)⪔(⫖↰⪸2478⊮⊟↴⫖↰⪸100B⪹))","cot":[{"info":"⫖↰⪸772↙⫖↰⪸4893=⫖↰⪸-12239","layer":3},{"info":"⫖↰⪸1220∕⩚⫖↰⪸1981=⫖↰⪸-1223","layer":3},{"info":"⫖↰⪸-12239⩇∃⫛⫖↰⪸-1223=⫖↰⪸-12239","layer":2},{"info":"⇉-⫰⫖↰⪸1519=⫖↰⪸18","layer":3},{"info":"∜⨇⫖↰⪸18=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-12239⨥⫆⫖↰⪸0=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸2213⫑%∭=NaN","layer":3},{"info":"NaN⪥⨬⪅=NaN","layer":2},{"info":"⫖↰⪸2478⊮⊟↴⫖↰⪸100B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⪹=⫖↰⪸2724","layer":2},{"info":"NaN⪔⫖↰⪸2724=NaN","layer":1},{"info":"⫖↰⪸-1⪶≀⋏NaN=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"(⊁⨺($2989$≠≀$2589$))⨚(($3127$⊟⇱)⨳⩥⨓(⩷$4323$))∕⩚$5279$⇷$1536$⋓$2966$∣$2971$⫳≱↱(⨰⫟⨤($1697$⋫))","expression":"(⊁⨺(⫖↰⪸1891≠≀⫖↰⪸15B9))⨚((⫖↰⪸1987⊟⇱)⨳⩥⨓(⩷⫖↰⪸2603))∕⩚⫖↰⪸307B⇷⫖↰⪸A80⋓⫖↰⪸1872∣⫖↰⪸1877⫳≱↱(⨰⫟⨤(⫖↰⪸B95⋫))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":81716,"operation_count":13,"complexity_ratio":6285.846153846154,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2989,"base":12},"right_expr":{"type":"numeric_atoms","value":2589,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":3127,"base":12}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4323,"base":12}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5279,"base":12},"right_expr":{"type":"numeric_atoms","value":1536,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2966,"base":12},"right_expr":{"type":"numeric_atoms","value":2971,"base":12}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1697,"base":12}}}}},"used_operators":["z9ffQ9n5Zr","nREPSIbpBE","PxiHyQbrIp","IwW236VD4Y","nCS4ZIUYfx","03sUfWo75k","1h0rLqGiFr","ZvLB05nZmT","T2fj7uvVaJ","mp7IySMOzn","PPChnnnBFF","Tw270M8GLb","JL8yIekQnl"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","IWmyXbctLI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x"],"result":"⫖↰⪸-347","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2989","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=2589, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5672","layer":3},{"info":"compute unary expreesion, input=-5672, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-38921","layer":2},{"info":"number node, value=3127","layer":4},{"info":"compute unary expreesion, input=3127, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=6570","layer":3},{"info":"number node, value=4323","layer":4},{"info":"compute unary expreesion, input=4323, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-51955","layer":3},{"info":"compute binary expreesion, left_input=6570, right_input=-51955, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-58525","layer":2},{"info":"compute binary expreesion, left_input=-38921, right_input=-58525, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=157192","layer":1},{"info":"number node, value=5279","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=5279, right_input=1536, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3072","layer":3},{"info":"number node, value=2966","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=2971, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2966","layer":3},{"info":"compute binary expreesion, left_input=3072, right_input=2966, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1697","layer":4},{"info":"compute unary expreesion, input=1697, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1697","layer":3},{"info":"compute unary expreesion, input=1697, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=157192, right_input=-204, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":12,"result_base":12,"text":"(⊁⨺(⫖↰⪸1891≠≀⫖↰⪸15B9))⨚((⫖↰⪸1987⊟⇱)⨳⩥⨓(⩷⫖↰⪸2603))∕⩚⫖↰⪸307B⇷⫖↰⪸A80⋓⫖↰⪸1872∣⫖↰⪸1877⫳≱↱(⨰⫟⨤(⫖↰⪸B95⋫))=⫖↰⪸-347","reverse_text":"⫖↰⪸-347=(⊁⨺(⫖↰⪸1891≠≀⫖↰⪸15B9))⨚((⫖↰⪸1987⊟⇱)⨳⩥⨓(⩷⫖↰⪸2603))∕⩚⫖↰⪸307B⇷⫖↰⪸A80⋓⫖↰⪸1872∣⫖↰⪸1877⫳≱↱(⨰⫟⨤(⫖↰⪸B95⋫))","cot":[{"info":"⫖↰⪸1891≠≀⫖↰⪸15B9=⫖↰⪸-3348","layer":3},{"info":"⊁⨺⫖↰⪸-3348=⫖↰⪸-1A635","layer":2},{"info":"⫖↰⪸1987⊟⇱=⫖↰⪸3976","layer":3},{"info":"⩷⫖↰⪸2603=⫖↰⪸-26097","layer":3},{"info":"⫖↰⪸3976⨳⩥⨓⫖↰⪸-26097=⫖↰⪸-29A51","layer":2},{"info":"⫖↰⪸-1A635⨚⫖↰⪸-29A51=⫖↰⪸76B74","layer":1},{"info":"⫖↰⪸307B⇷⫖↰⪸A80=⫖↰⪸1940","layer":3},{"info":"⫖↰⪸1872∣⫖↰⪸1877=⫖↰⪸1872","layer":3},{"info":"⫖↰⪸1940⋓⫖↰⪸1872=⫖↰⪸0","layer":2},{"info":"⫖↰⪸B95⋫=⫖↰⪸B95","layer":3},{"info":"⨰⫟⨤⫖↰⪸B95=NaN","layer":2},{"info":"⫖↰⪸0⫳≱↱NaN=⫖↰⪸-150","layer":1},{"info":"⫖↰⪸76B74∕⩚⫖↰⪸-150=⫖↰⪸-347","layer":0}]}
{"id":129,"expression_no_base_symbol":"(∡($1960$≧⫂∧$2295$⪄$2992$⩍⋽⫝̸$1673$))⫑%∭","expression":"(∡(⫖↰⪸1174≧⫂∧⫖↰⪸13B3⪄⫖↰⪸1894⩍⋽⫝̸⫖↰⪸B75))⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1077,"operation_count":5,"complexity_ratio":215.4,"tree":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1960,"base":12},"right_expr":{"type":"numeric_atoms","value":2295,"base":12}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2992,"base":12},"right_expr":{"type":"numeric_atoms","value":1673,"base":12}}}}},"used_operators":["xUx7qlDO4z","pRsWfj4Fpp","SUmda5xLS4","Ph9nP6C5qx","BiWNJpBvwn"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1960","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=2295, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1822","layer":3},{"info":"number node, value=2992","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=1673, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=727","layer":3},{"info":"compute binary expreesion, left_input=1822, right_input=727, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-268653","layer":2},{"info":"compute unary expreesion, input=-268653, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=1611918","layer":1},{"info":"compute unary expreesion, input=1611918, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∡(⫖↰⪸1174≧⫂∧⫖↰⪸13B3⪄⫖↰⪸1894⩍⋽⫝̸⫖↰⪸B75))⫑%∭=NaN","reverse_text":"NaN=(∡(⫖↰⪸1174≧⫂∧⫖↰⪸13B3⪄⫖↰⪸1894⩍⋽⫝̸⫖↰⪸B75))⫑%∭","cot":[{"info":"⫖↰⪸1174≧⫂∧⫖↰⪸13B3=⫖↰⪸107A","layer":3},{"info":"⫖↰⪸1894⩍⋽⫝̸⫖↰⪸B75=⫖↰⪸507","layer":3},{"info":"⫖↰⪸107A⪄⫖↰⪸507=⫖↰⪸-10B579","layer":2},{"info":"∡⫖↰⪸-10B579=⫖↰⪸6589A6","layer":1},{"info":"⫖↰⪸6589A6⫑%∭=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"(⊁⨺(⫓⪴($3741$∟)))+⇶⊼(($3173$⫥∨⫟$2335$)≚⋢)⨚$1654$⇻⋧≁$5844$⪥(⊑$4969$)","expression":"(⊁⨺(⫓⪴(⫖↰⪸21B9∟)))+⇶⊼((⫖↰⪸1A05⫥∨⫟⫖↰⪸1427)≚⋢)⨚⫖↰⪸B5A⇻⋧≁⫖↰⪸3470⪥(⊑⫖↰⪸2A61)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2564,"operation_count":10,"complexity_ratio":256.4,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":3741,"base":12}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3173,"base":12},"right_expr":{"type":"numeric_atoms","value":2335,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1654,"base":12},"right_expr":{"type":"numeric_atoms","value":5844,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":4969,"base":12}}}}},"used_operators":["TpPTUOHfaN","PxiHyQbrIp","eLxqMNBOBk","hTbEZDJLEm","nREPSIbpBE","MahUMFw56D","KYD54nUTWz","QbnwKVWMIQ","jCPkEVoL5K","IkUmn0D7oy"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","BjRHVeLaeN","12rbrZMWeM","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3741","layer":4},{"info":"compute unary expreesion, input=3741, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12769","layer":2},{"info":"compute unary expreesion, input=12769, 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=3173","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=2335, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=1654","layer":4},{"info":"number node, value=5844","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=5844, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4969","layer":4},{"info":"compute unary expreesion, input=4969, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=192, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-162","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=-162, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1404","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1404, 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":12,"result_base":12,"text":"(⊁⨺(⫓⪴(⫖↰⪸21B9∟)))+⇶⊼((⫖↰⪸1A05⫥∨⫟⫖↰⪸1427)≚⋢)⨚⫖↰⪸B5A⇻⋧≁⫖↰⪸3470⪥(⊑⫖↰⪸2A61)=NaN","reverse_text":"NaN=(⊁⨺(⫓⪴(⫖↰⪸21B9∟)))+⇶⊼((⫖↰⪸1A05⫥∨⫟⫖↰⪸1427)≚⋢)⨚⫖↰⪸B5A⇻⋧≁⫖↰⪸3470⪥(⊑⫖↰⪸2A61)","cot":[{"info":"⫖↰⪸21B9∟=⫖↰⪸95","layer":3},{"info":"⫓⪴⫖↰⪸95=⫖↰⪸7481","layer":2},{"info":"⊁⨺⫖↰⪸7481=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1A05⫥∨⫟⫖↰⪸1427=NaN","layer":3},{"info":"NaN≚⋢=⫖↰⪸-75","layer":2},{"info":"⫖↰⪸B5A⇻⋧≁⫖↰⪸3470=⫖↰⪸-313","layer":3},{"info":"⊑⫖↰⪸2A61=⫖↰⪸140","layer":3},{"info":"⫖↰⪸-313⪥⫖↰⪸140=⫖↰⪸-116","layer":2},{"info":"⫖↰⪸-75⨚⫖↰⪸-116=⫖↰⪸990","layer":1},{"info":"⫖↰⪸114+⇶⊼⫖↰⪸990=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"((⨵($2517$⪭≯$1329$))⨳⩥⨓$2164$⪮%⊝$2637$⩧⪆$1049$⨽∌$1668$)≹⇙⪍(($4685$⨘⋶⪀)⪨⊡(↯⪼$1086$))⩁⩘(($1684$⪁$4449$)⨫⇇↔($2886$⨸⪁$1224$))","expression":"((⨵(⫖↰⪸1559⪭≯⫖↰⪸929))⨳⩥⨓⫖↰⪸1304⪮%⊝⫖↰⪸1639⩧⪆⫖↰⪸735⨽∌⫖↰⪸B70)≹⇙⪍((⫖↰⪸2865⨘⋶⪀)⪨⊡(↯⪼⫖↰⪸766))⩁⩘((⫖↰⪸B84⪁⫖↰⪸26A9)⨫⇇↔(⫖↰⪸1806⨸⪁⫖↰⪸860))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":267973225,"operation_count":14,"complexity_ratio":19140944.64285714,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2517,"base":12},"right_expr":{"type":"numeric_atoms","value":1329,"base":12}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2164,"base":12},"right_expr":{"type":"numeric_atoms","value":2637,"base":12}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1049,"base":12},"right_expr":{"type":"numeric_atoms","value":1668,"base":12}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":4685,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1086,"base":12}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1684,"base":12},"right_expr":{"type":"numeric_atoms","value":4449,"base":12}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2886,"base":12},"right_expr":{"type":"numeric_atoms","value":1224,"base":12}}}}},"used_operators":["AHs5Up7iyr","nCS4ZIUYfx","Tl3Y52tvF8","XAx5wpdLa6","Ikt5ks8PT7","IWmyXbctLI","9samAPKr6k","gub5Cegaqo","kuIXHzHcAH","XVKwrhznBb","8jW3W4yZS5","LXhwmt4mBO","I7sXao9hZE","g55IO6H4Gj"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DpFCA1CohY","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2517","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1329, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":2},{"info":"number node, value=2164","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=2637, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4644","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1668, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4644, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4685","layer":4},{"info":"compute unary expreesion, input=4685, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=873","layer":2},{"info":"number node, value=1684","layer":4},{"info":"number node, value=4449","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=4449, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2886","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=1224, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8220","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8220, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=873, right_input=-527, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-1160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1160, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":12,"result_base":12,"text":"((⨵(⫖↰⪸1559⪭≯⫖↰⪸929))⨳⩥⨓⫖↰⪸1304⪮%⊝⫖↰⪸1639⩧⪆⫖↰⪸735⨽∌⫖↰⪸B70)≹⇙⪍((⫖↰⪸2865⨘⋶⪀)⪨⊡(↯⪼⫖↰⪸766))⩁⩘((⫖↰⪸B84⪁⫖↰⪸26A9)⨫⇇↔(⫖↰⪸1806⨸⪁⫖↰⪸860))=NaN","reverse_text":"NaN=((⨵(⫖↰⪸1559⪭≯⫖↰⪸929))⨳⩥⨓⫖↰⪸1304⪮%⊝⫖↰⪸1639⩧⪆⫖↰⪸735⨽∌⫖↰⪸B70)≹⇙⪍((⫖↰⪸2865⨘⋶⪀)⪨⊡(↯⪼⫖↰⪸766))⩁⩘((⫖↰⪸B84⪁⫖↰⪸26A9)⨫⇇↔(⫖↰⪸1806⨸⪁⫖↰⪸860))","cot":[{"info":"⫖↰⪸1559⪭≯⫖↰⪸929=NaN","layer":3},{"info":"⨵NaN=NaN","layer":2},{"info":"⫖↰⪸1304⪮%⊝⫖↰⪸1639=⫖↰⪸2830","layer":3},{"info":"⫖↰⪸735⨽∌⫖↰⪸B70=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2830⩧⪆⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"NaN⨳⩥⨓⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2865⨘⋶⪀=NaN","layer":3},{"info":"↯⪼⫖↰⪸766=⫖↰⪸-19","layer":3},{"info":"NaN⪨⊡⫖↰⪸-19=⫖↰⪸609","layer":2},{"info":"⫖↰⪸B84⪁⫖↰⪸26A9=NaN","layer":3},{"info":"⫖↰⪸1806⨸⪁⫖↰⪸860=⫖↰⪸4910","layer":3},{"info":"NaN⨫⇇↔⫖↰⪸4910=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸609⩁⩘⫖↰⪸-37B=⫖↰⪸-808","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸-808=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"((⊗($1967$≹⇙⪍$3288$))⊢($1290$⋾⨃∁$1529$⪍↜⋙($1852$≳⇉$6116$)))⇉⇱⇎","expression":"((⊗(⫖↰⪸117B≹⇙⪍⫖↰⪸1AA0))⊢(⫖↰⪸8B6⋾⨃∁⫖↰⪸A75⪍↜⋙(⫖↰⪸10A4≳⇉⫖↰⪸3658)))⇉⇱⇎","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":444667167,"operation_count":7,"complexity_ratio":63523881.0,"tree":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1967,"base":12},"right_expr":{"type":"numeric_atoms","value":3288,"base":12}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1290,"base":12},"right_expr":{"type":"numeric_atoms","value":1529,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":6116,"base":12}}}}},"used_operators":["MRPaB8lBjK","5twsqlHp2o","RhiyfpczSx","AHs5Up7iyr","L05ObWFQCd","212REbPD9h","V0kx6qeWkN"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","dWAJyo7jo9","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1967","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=3288, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=1529, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=23359968","layer":3},{"info":"number node, value=1852","layer":4},{"info":"number node, value=6116","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=6116, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=23359968, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊗(⫖↰⪸117B≹⇙⪍⫖↰⪸1AA0))⊢(⫖↰⪸8B6⋾⨃∁⫖↰⪸A75⪍↜⋙(⫖↰⪸10A4≳⇉⫖↰⪸3658)))⇉⇱⇎=NaN","reverse_text":"NaN=((⊗(⫖↰⪸117B≹⇙⪍⫖↰⪸1AA0))⊢(⫖↰⪸8B6⋾⨃∁⫖↰⪸A75⪍↜⋙(⫖↰⪸10A4≳⇉⫖↰⪸3658)))⇉⇱⇎","cot":[{"info":"⫖↰⪸117B≹⇙⪍⫖↰⪸1AA0=NaN","layer":3},{"info":"⊗NaN=NaN","layer":2},{"info":"⫖↰⪸8B6⋾⨃∁⫖↰⪸A75=⫖↰⪸79A6600","layer":3},{"info":"⫖↰⪸10A4≳⇉⫖↰⪸3658=NaN","layer":3},{"info":"⫖↰⪸79A6600⪍↜⋙NaN=NaN","layer":2},{"info":"NaN⊢NaN=NaN","layer":1},{"info":"NaN⇉⇱⇎=NaN","layer":0}]}
{"id":133,"expression_no_base_symbol":"(($1643$∌$1900$⊭∹↮)⨭⪣(⩦⩻⨪(⨆≐≲$1435$)))≭(↞≼(⊬↢($1046$⋭≵$3002$)))","expression":"((⫖↰⪸B4B∌⫖↰⪸1124⊭∹↮)⨭⪣(⩦⩻⨪(⨆≐≲⫖↰⪸9B7)))≭(↞≼(⊬↢(⫖↰⪸732⋭≵⫖↰⪸18A2)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5498,"operation_count":9,"complexity_ratio":610.8888888888889,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1643,"base":12},"right_expr":{"type":"numeric_atoms","value":1900,"base":12}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1435,"base":12}}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1046,"base":12},"right_expr":{"type":"numeric_atoms","value":3002,"base":12}}}}},"used_operators":["rxpJgHHUmx","kn8WO9XteQ","xNBdhnnwKq","8cLx32lpNA","2td37pGCOC","Bi9z9uYZqW","DE7zCoGJt9","WPoGxAaPR1","jBncVCNhdl"],"dependent_operators":["AHs5Up7iyr","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1643","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=1900, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1900","layer":3},{"info":"compute unary expreesion, input=-1900, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-1900","layer":2},{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=15371160","layer":3},{"info":"compute unary expreesion, input=15371160, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=15371160","layer":2},{"info":"compute binary expreesion, left_input=-1900, right_input=15371160, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1105","layer":1},{"info":"number node, value=1046","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=3002, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5241","layer":3},{"info":"compute unary expreesion, input=5241, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=1330","layer":1},{"info":"compute binary expreesion, left_input=1105, right_input=1330, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":12,"result_base":12,"text":"((⫖↰⪸B4B∌⫖↰⪸1124⊭∹↮)⨭⪣(⩦⩻⨪(⨆≐≲⫖↰⪸9B7)))≭(↞≼(⊬↢(⫖↰⪸732⋭≵⫖↰⪸18A2)))=NaN","reverse_text":"NaN=((⫖↰⪸B4B∌⫖↰⪸1124⊭∹↮)⨭⪣(⩦⩻⨪(⨆≐≲⫖↰⪸9B7)))≭(↞≼(⊬↢(⫖↰⪸732⋭≵⫖↰⪸18A2)))","cot":[{"info":"⫖↰⪸B4B∌⫖↰⪸1124=⫖↰⪸-1124","layer":3},{"info":"⫖↰⪸-1124⊭∹↮=⫖↰⪸-1124","layer":2},{"info":"⨆≐≲⫖↰⪸9B7=⫖↰⪸5193420","layer":3},{"info":"⩦⩻⨪⫖↰⪸5193420=⫖↰⪸5193420","layer":2},{"info":"⫖↰⪸-1124⨭⪣⫖↰⪸5193420=⫖↰⪸781","layer":1},{"info":"⫖↰⪸732⋭≵⫖↰⪸18A2=⫖↰⪸3049","layer":3},{"info":"⊬↢⫖↰⪸3049=⫖↰⪸162","layer":2},{"info":"↞≼⫖↰⪸162=⫖↰⪸92A","layer":1},{"info":"⫖↰⪸781≭⫖↰⪸92A=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"((⊁⨺$1626$)⫔⩽⩺$3129$⨰$1579$)≠≀(≪$6264$)⋣⋖(≑⋹$1325$)⩵∡(($1003$⇩)⩒⫫(⇙⪊$2117$))⊢($1428$⊬⨰$2080$⪘⫢(⊢≑≆$2715$))","expression":"((⊁⨺⫖↰⪸B36)⫔⩽⩺⫖↰⪸1989⨰⫖↰⪸AB7)≠≀(≪⫖↰⪸3760)⋣⋖(≑⋹⫖↰⪸925)⩵∡((⫖↰⪸6B7⇩)⩒⫫(⇙⪊⫖↰⪸1285))⊢(⫖↰⪸9B0⊬⨰⫖↰⪸1254⪘⫢(⊢≑≆⫖↰⪸16A3))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":305,"operation_count":15,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1626,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3129,"base":12},"right_expr":{"type":"numeric_atoms","value":1579,"base":12}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":6264,"base":12}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1325,"base":12}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1003,"base":12}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":2117,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1428,"base":12},"right_expr":{"type":"numeric_atoms","value":2080,"base":12}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2715,"base":12}}}}},"used_operators":["Y7wcNGrDQJ","IwW236VD4Y","i9eR4S00cU","PxiHyQbrIp","eewbuw0ToL","J0M6qkBnIM","Qtd6bqUJcN","6B9nyZLogK","5twsqlHp2o","KFSx94NKJn","vRio1gEz1j","pB6Fcnrjim","oacrs7FA3X","s3Fd5m9Dh2","27wFxooxGf"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=3129","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=3129, right_input=1579, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1560","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1560, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=6264","layer":4},{"info":"compute unary expreesion, input=6264, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=1650, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=913, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":1},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1096","layer":3},{"info":"number node, value=2117","layer":4},{"info":"compute unary expreesion, input=2117, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1096, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=794","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=2080, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8692","layer":3},{"info":"number node, value=2715","layer":4},{"info":"compute unary expreesion, input=2715, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=11312","layer":3},{"info":"compute binary expreesion, left_input=8692, right_input=11312, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17260","layer":2},{"info":"compute binary expreesion, left_input=794, right_input=17260, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-1832","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1832, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊁⨺⫖↰⪸B36)⫔⩽⩺⫖↰⪸1989⨰⫖↰⪸AB7)≠≀(≪⫖↰⪸3760)⋣⋖(≑⋹⫖↰⪸925)⩵∡((⫖↰⪸6B7⇩)⩒⫫(⇙⪊⫖↰⪸1285))⊢(⫖↰⪸9B0⊬⨰⫖↰⪸1254⪘⫢(⊢≑≆⫖↰⪸16A3))=NaN","reverse_text":"NaN=((⊁⨺⫖↰⪸B36)⫔⩽⩺⫖↰⪸1989⨰⫖↰⪸AB7)≠≀(≪⫖↰⪸3760)⋣⋖(≑⋹⫖↰⪸925)⩵∡((⫖↰⪸6B7⇩)⩒⫫(⇙⪊⫖↰⪸1285))⊢(⫖↰⪸9B0⊬⨰⫖↰⪸1254⪘⫢(⊢≑≆⫖↰⪸16A3))","cot":[{"info":"⊁⨺⫖↰⪸B36=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1989⨰⫖↰⪸AB7=⫖↰⪸AA0","layer":3},{"info":"⫖↰⪸114⫔⩽⩺⫖↰⪸AA0=NaN","layer":2},{"info":"≪⫖↰⪸3760=⫖↰⪸641","layer":3},{"info":"≑⋹⫖↰⪸925=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸641⋣⋖⫖↰⪸B56=⫖↰⪸641","layer":2},{"info":"NaN≠≀⫖↰⪸641=NaN","layer":1},{"info":"⫖↰⪸6B7⇩=⫖↰⪸774","layer":3},{"info":"⇙⪊⫖↰⪸1285=⫖↰⪸0","layer":3},{"info":"⫖↰⪸774⩒⫫⫖↰⪸0=⫖↰⪸562","layer":2},{"info":"⫖↰⪸9B0⊬⨰⫖↰⪸1254=⫖↰⪸5044","layer":3},{"info":"⊢≑≆⫖↰⪸16A3=⫖↰⪸6668","layer":3},{"info":"⫖↰⪸5044⪘⫢⫖↰⪸6668=⫖↰⪸9BA4","layer":2},{"info":"⫖↰⪸562⊢⫖↰⪸9BA4=⫖↰⪸-1088","layer":1},{"info":"NaN⩵∡⫖↰⪸-1088=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"≪(∜⨇(($3444$⩵∡$1499$)≑≱⪘))","expression":"≪(∜⨇((⫖↰⪸1BB0⩵∡⫖↰⪸A4B)≑≱⪘))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":222,"operation_count":4,"complexity_ratio":55.5,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3444,"base":12},"right_expr":{"type":"numeric_atoms","value":1499,"base":12}}}}},"used_operators":["Qtd6bqUJcN","uFPyJr306J","tGSeddj7UK","Y7wcNGrDQJ"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⫖↰⪸641","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3444","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=1499, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5510","layer":3},{"info":"compute unary expreesion, input=-5510, 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=153742","layer":2},{"info":"compute unary expreesion, input=153742, 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 = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":12,"result_base":12,"text":"≪(∜⨇((⫖↰⪸1BB0⩵∡⫖↰⪸A4B)≑≱⪘))=⫖↰⪸641","reverse_text":"⫖↰⪸641=≪(∜⨇((⫖↰⪸1BB0⩵∡⫖↰⪸A4B)≑≱⪘))","cot":[{"info":"⫖↰⪸1BB0⩵∡⫖↰⪸A4B=⫖↰⪸-3232","layer":3},{"info":"⫖↰⪸-3232≑≱⪘=⫖↰⪸74B7A","layer":2},{"info":"∜⨇⫖↰⪸74B7A=NaN","layer":1},{"info":"≪NaN=⫖↰⪸641","layer":0}]}
{"id":136,"expression_no_base_symbol":"($5736$≓∲$1019$)↬($3705$⩹$1839$)⪔(⇈(⨭⩧⫛$1606$))⊨(($8366$∽$1078$)→⨶⪴($2304$↼⊘⨖$1320$))≁($7773$∘$1108$*$2201$⊹∫⫚$2952$)","expression":"(⫖↰⪸33A0≓∲⫖↰⪸70B)↬(⫖↰⪸2189⩹⫖↰⪸1093)⪔(⇈(⨭⩧⫛⫖↰⪸B1A))⊨((⫖↰⪸4A12∽⫖↰⪸75A)→⨶⪴(⫖↰⪸1400↼⊘⨖⫖↰⪸920))≁(⫖↰⪸45B9∘⫖↰⪸784*⫖↰⪸1335⊹∫⫚⫖↰⪸1860)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5565,"operation_count":14,"complexity_ratio":397.5,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5736,"base":12},"right_expr":{"type":"numeric_atoms","value":1019,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3705,"base":12},"right_expr":{"type":"numeric_atoms","value":1839,"base":12}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1606,"base":12}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":8366,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2304,"base":12},"right_expr":{"type":"numeric_atoms","value":1320,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":7773,"base":12},"right_expr":{"type":"numeric_atoms","value":1108,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2201,"base":12},"right_expr":{"type":"numeric_atoms","value":2952,"base":12}}}}},"used_operators":["vg4gO5BX6G","GjBEYRfMaF","B5M0gjZbta","s1XTVnmDOJ","2Wsdkap16l","SLLxy00UIr","g21JL6JxX7","8N2wDY1A35","bF6eod5Gvf","y4ImoPnbV5","bPywburJMS","9HNa5Wba9A","Z5m6OM72h2","uWAJUKEvyW"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rGHVDoGpnC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","eH2TOUuTDT","rysDP5nf3Z","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5736","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=5736, right_input=1019, 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=58143","layer":3},{"info":"number node, value=3705","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=1839, 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=1837","layer":3},{"info":"compute binary expreesion, left_input=58143, right_input=1837, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1606","layer":4},{"info":"compute unary expreesion, input=1606, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=8366","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=8366, right_input=1078, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-44886","layer":3},{"info":"number node, value=2304","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=1320, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2418","layer":3},{"info":"compute binary expreesion, left_input=-44886, right_input=2418, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7254","layer":2},{"info":"number node, value=7773","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=7773, right_input=1108, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=15546","layer":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=2952, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-72","layer":3},{"info":"compute binary expreesion, left_input=15546, right_input=-72, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1119312","layer":2},{"info":"compute binary expreesion, left_input=-7254, right_input=-1119312, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-31351225","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-31351225, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸33A0≓∲⫖↰⪸70B)↬(⫖↰⪸2189⩹⫖↰⪸1093)⪔(⇈(⨭⩧⫛⫖↰⪸B1A))⊨((⫖↰⪸4A12∽⫖↰⪸75A)→⨶⪴(⫖↰⪸1400↼⊘⨖⫖↰⪸920))≁(⫖↰⪸45B9∘⫖↰⪸784*⫖↰⪸1335⊹∫⫚⫖↰⪸1860)=NaN","reverse_text":"NaN=(⫖↰⪸33A0≓∲⫖↰⪸70B)↬(⫖↰⪸2189⩹⫖↰⪸1093)⪔(⇈(⨭⩧⫛⫖↰⪸B1A))⊨((⫖↰⪸4A12∽⫖↰⪸75A)→⨶⪴(⫖↰⪸1400↼⊘⨖⫖↰⪸920))≁(⫖↰⪸45B9∘⫖↰⪸784*⫖↰⪸1335⊹∫⫚⫖↰⪸1860)","cot":[{"info":"⫖↰⪸33A0≓∲⫖↰⪸70B=⫖↰⪸29793","layer":3},{"info":"⫖↰⪸2189⩹⫖↰⪸1093=⫖↰⪸1091","layer":3},{"info":"⫖↰⪸29793↬⫖↰⪸1091=NaN","layer":2},{"info":"⨭⩧⫛⫖↰⪸B1A=NaN","layer":3},{"info":"⇈NaN=⫖↰⪸-313","layer":2},{"info":"NaN⪔⫖↰⪸-313=NaN","layer":1},{"info":"⫖↰⪸4A12∽⫖↰⪸75A=⫖↰⪸-21B86","layer":3},{"info":"⫖↰⪸1400↼⊘⨖⫖↰⪸920=⫖↰⪸1496","layer":3},{"info":"⫖↰⪸-21B86→⨶⪴⫖↰⪸1496=⫖↰⪸-4246","layer":2},{"info":"⫖↰⪸45B9∘⫖↰⪸784=⫖↰⪸8BB6","layer":3},{"info":"⫖↰⪸1335⊹∫⫚⫖↰⪸1860=⫖↰⪸-60","layer":3},{"info":"⫖↰⪸8BB6*⫖↰⪸-60=⫖↰⪸-45B900","layer":2},{"info":"⫖↰⪸-4246≁⫖↰⪸-45B900=⫖↰⪸-A5BB0A1","layer":1},{"info":"NaN⊨⫖↰⪸-A5BB0A1=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"(≉$3783$⪔$1439$⪄($5387$⇗⋫))≭(($2325$⊝⪿⪼$1552$)⨎⋸⪻)⇴∐(($2306$≣⋋)∲⫓(↯⪼$5058$))","expression":"(≉⫖↰⪸2233⪔⫖↰⪸9BB⪄(⫖↰⪸314B⇗⋫))≭((⫖↰⪸1419⊝⪿⪼⫖↰⪸A94)⨎⋸⪻)⇴∐((⫖↰⪸1402≣⋋)∲⫓(↯⪼⫖↰⪸2B16))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2238,"operation_count":11,"complexity_ratio":203.45454545454547,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3783,"base":12},"right_expr":{"type":"numeric_atoms","value":1439,"base":12}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":5387,"base":12}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2325,"base":12},"right_expr":{"type":"numeric_atoms","value":1552,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2306,"base":12}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5058,"base":12}}}}},"used_operators":["rxpJgHHUmx","e1ybzncUwg","SUmda5xLS4","GjBEYRfMaF","hpqmaQFPrd","HnzytWxmAO","Dk5vyLCiGd","3Oe9XWJUTD","i8ToyICDmI","Tcnh7f0tEr","8jW3W4yZS5"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rxpJgHHUmx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","IWmyXbctLI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3783","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=1439, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5387","layer":4},{"info":"compute unary expreesion, input=5387, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=2325","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=1552, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=36965","layer":3},{"info":"compute unary expreesion, input=36965, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=74246","layer":2},{"info":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=5058","layer":4},{"info":"compute unary expreesion, input=5058, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=74246, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4652, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":12,"result_base":12,"text":"(≉⫖↰⪸2233⪔⫖↰⪸9BB⪄(⫖↰⪸314B⇗⋫))≭((⫖↰⪸1419⊝⪿⪼⫖↰⪸A94)⨎⋸⪻)⇴∐((⫖↰⪸1402≣⋋)∲⫓(↯⪼⫖↰⪸2B16))=NaN","reverse_text":"NaN=(≉⫖↰⪸2233⪔⫖↰⪸9BB⪄(⫖↰⪸314B⇗⋫))≭((⫖↰⪸1419⊝⪿⪼⫖↰⪸A94)⨎⋸⪻)⇴∐((⫖↰⪸1402≣⋋)∲⫓(↯⪼⫖↰⪸2B16))","cot":[{"info":"⫖↰⪸2233⪔⫖↰⪸9BB=⫖↰⪸316","layer":3},{"info":"⫖↰⪸314B⇗⋫=NaN","layer":3},{"info":"⫖↰⪸316⪄NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫖↰⪸1419⊝⪿⪼⫖↰⪸A94=⫖↰⪸19485","layer":3},{"info":"⫖↰⪸19485⨎⋸⪻=⫖↰⪸36B72","layer":2},{"info":"⫖↰⪸1402≣⋋=⫖↰⪸0","layer":3},{"info":"↯⪼⫖↰⪸2B16=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸0∲⫓⫖↰⪸-19=⫖↰⪸0","layer":2},{"info":"⫖↰⪸36B72⇴∐⫖↰⪸0=⫖↰⪸2838","layer":1},{"info":"NaN≭⫖↰⪸2838=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"((($4567$%$1055$)⪗)⊍⩺⋍(⪸($1252$∕⩚$2858$)))∲⫓((⫇$1798$)⨭⪣$5146$⪬$5055$⨵⪆$4112$⪭$3681$⨐⩸⫘(⇺⋃$7727$))","expression":"(((⫖↰⪸2787%⫖↰⪸73B)⪗)⊍⩺⋍(⪸(⫖↰⪸884∕⩚⫖↰⪸17A2)))∲⫓((⫇⫖↰⪸105A)⨭⪣⫖↰⪸2B8A⪬⫖↰⪸2B13⨵⪆⫖↰⪸2468⪭⫖↰⪸2169⨐⩸⫘(⇺⋃⫖↰⪸457B))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2549,"operation_count":13,"complexity_ratio":196.07692307692307,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4567,"base":12},"right_expr":{"type":"numeric_atoms","value":1055,"base":12}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1252,"base":12},"right_expr":{"type":"numeric_atoms","value":2858,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1798,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5146,"base":12},"right_expr":{"type":"numeric_atoms","value":5055,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4112,"base":12},"right_expr":{"type":"numeric_atoms","value":3681,"base":12}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":7727,"base":12}}}}},"used_operators":["i8ToyICDmI","OXDGMFPWZM","VEQNXA0ZBg","k8jYdgA6NY","86A5ENbKR9","z9ffQ9n5Zr","2DQ55sFlQl","kn8WO9XteQ","YjI8oCXuph","Ez1Nq5fNfI","fu6greOZ01","j9kHMeSvPp","E5v5B3UAjG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","rysDP5nf3Z","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","3ViojmjbAp","COABgblf1C","xUOZtlo3hN","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4567","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=4567, right_input=1055, op_id = k8jYdgA6NY binary_op_definition= 'None', output=347","layer":3},{"info":"compute unary expreesion, input=347, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1252","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=2858, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1255","layer":3},{"info":"compute unary expreesion, input=-1255, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=10652","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10652, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1798","layer":4},{"info":"compute unary expreesion, input=1798, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2382","layer":3},{"info":"number node, value=5146","layer":4},{"info":"number node, value=5055","layer":4},{"info":"compute binary expreesion, left_input=5146, right_input=5055, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-2382, right_input=1234, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1587","layer":2},{"info":"number node, value=4112","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=4112, right_input=3681, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=7727","layer":4},{"info":"compute unary expreesion, input=7727, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1587, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2787%⫖↰⪸73B)⪗)⊍⩺⋍(⪸(⫖↰⪸884∕⩚⫖↰⪸17A2)))∲⫓((⫇⫖↰⪸105A)⨭⪣⫖↰⪸2B8A⪬⫖↰⪸2B13⨵⪆⫖↰⪸2468⪭⫖↰⪸2169⨐⩸⫘(⇺⋃⫖↰⪸457B))=NaN","reverse_text":"NaN=(((⫖↰⪸2787%⫖↰⪸73B)⪗)⊍⩺⋍(⪸(⫖↰⪸884∕⩚⫖↰⪸17A2)))∲⫓((⫇⫖↰⪸105A)⨭⪣⫖↰⪸2B8A⪬⫖↰⪸2B13⨵⪆⫖↰⪸2468⪭⫖↰⪸2169⨐⩸⫘(⇺⋃⫖↰⪸457B))","cot":[{"info":"⫖↰⪸2787%⫖↰⪸73B=⫖↰⪸24B","layer":3},{"info":"⫖↰⪸24B⪗=NaN","layer":2},{"info":"⫖↰⪸884∕⩚⫖↰⪸17A2=⫖↰⪸-887","layer":3},{"info":"⪸⫖↰⪸-887=⫖↰⪸61B8","layer":2},{"info":"NaN⊍⩺⋍⫖↰⪸61B8=NaN","layer":1},{"info":"⫇⫖↰⪸105A=⫖↰⪸-1466","layer":3},{"info":"⫖↰⪸2B8A⪬⫖↰⪸2B13=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-1466⨭⪣⫖↰⪸86A=⫖↰⪸B03","layer":2},{"info":"⫖↰⪸2468⪭⫖↰⪸2169=⫖↰⪸5","layer":3},{"info":"⇺⋃⫖↰⪸457B=NaN","layer":3},{"info":"⫖↰⪸5⨐⩸⫘NaN=NaN","layer":2},{"info":"⫖↰⪸B03⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"NaN∲⫓⫖↰⪸114=NaN","layer":0}]}
{"id":139,"expression_no_base_symbol":"($3789$∓⋝$1480$⨻⩈⩔($3670$+⇶⊼$1570$)⫩⊇)⫞⩸⩒(($1166$∑⇟⊟$2060$⩏)⊿∆)","expression":"(⫖↰⪸2239∓⋝⫖↰⪸A34⨻⩈⩔(⫖↰⪸215A+⇶⊼⫖↰⪸AAA)⫩⊇)⫞⩸⩒((⫖↰⪸812∑⇟⊟⫖↰⪸1238⩏)⊿∆)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":349,"operation_count":8,"complexity_ratio":43.625,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3789,"base":12},"right_expr":{"type":"numeric_atoms","value":1480,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3670,"base":12},"right_expr":{"type":"numeric_atoms","value":1570,"base":12}}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1166,"base":12},"right_expr":{"type":"numeric_atoms","value":2060,"base":12}}}}},"used_operators":["XGcMNugi78","BjRHVeLaeN","nEsXyWgiOK","PoHhknlbAi","TpPTUOHfaN","fv3ZujxkQL","iA2gmKZ3Wj","U7g4x0WXJJ"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AHs5Up7iyr","NTOWxs364D","z6LnFrNh4i","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3789","layer":4},{"info":"number node, value=1480","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=1480, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3670","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=3670, right_input=1570, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"number node, value=1166","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=2060, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-121","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-121, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2239∓⋝⫖↰⪸A34⨻⩈⩔(⫖↰⪸215A+⇶⊼⫖↰⪸AAA)⫩⊇)⫞⩸⩒((⫖↰⪸812∑⇟⊟⫖↰⪸1238⩏)⊿∆)=NaN","reverse_text":"NaN=(⫖↰⪸2239∓⋝⫖↰⪸A34⨻⩈⩔(⫖↰⪸215A+⇶⊼⫖↰⪸AAA)⫩⊇)⫞⩸⩒((⫖↰⪸812∑⇟⊟⫖↰⪸1238⩏)⊿∆)","cot":[{"info":"⫖↰⪸2239∓⋝⫖↰⪸A34=⫖↰⪸57","layer":3},{"info":"⫖↰⪸215A+⇶⊼⫖↰⪸AAA=NaN","layer":3},{"info":"⫖↰⪸57⨻⩈⩔NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⫖↰⪸812∑⇟⊟⫖↰⪸1238=NaN","layer":3},{"info":"NaN⩏=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⊿∆=⫖↰⪸-A1","layer":1},{"info":"NaN⫞⩸⩒⫖↰⪸-A1=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"($1005$⨔⇊$3287$⪘⫢($1816$⫡⨏$3866$)⊿∆)∵≐","expression":"(⫖↰⪸6B9⨔⇊⫖↰⪸1A9B⪘⫢(⫖↰⪸1074⫡⨏⫖↰⪸22A2)⊿∆)∵≐","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38,"operation_count":5,"complexity_ratio":7.6,"tree":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":3287,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1816,"base":12},"right_expr":{"type":"numeric_atoms","value":3866,"base":12}}}}},"used_operators":["59igzFyhWz","fv3ZujxkQL","oacrs7FA3X","JclMnS0uGI","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸7337","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=3287, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3287","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=3866","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=3866, 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=17595","layer":3},{"info":"compute binary expreesion, left_input=3287, right_input=17595, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6450","layer":2},{"info":"compute unary expreesion, input=6450, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-13021","layer":1},{"info":"compute unary expreesion, input=-13021, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=12571","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸6B9⨔⇊⫖↰⪸1A9B⪘⫢(⫖↰⪸1074⫡⨏⫖↰⪸22A2)⊿∆)∵≐=⫖↰⪸7337","reverse_text":"⫖↰⪸7337=(⫖↰⪸6B9⨔⇊⫖↰⪸1A9B⪘⫢(⫖↰⪸1074⫡⨏⫖↰⪸22A2)⊿∆)∵≐","cot":[{"info":"⫖↰⪸6B9⨔⇊⫖↰⪸1A9B=⫖↰⪸1A9B","layer":3},{"info":"⫖↰⪸1074⫡⨏⫖↰⪸22A2=⫖↰⪸A223","layer":3},{"info":"⫖↰⪸1A9B⪘⫢⫖↰⪸A223=⫖↰⪸3896","layer":2},{"info":"⫖↰⪸3896⊿∆=⫖↰⪸-7651","layer":1},{"info":"⫖↰⪸-7651∵≐=⫖↰⪸7337","layer":0}]}
{"id":141,"expression_no_base_symbol":"($3085$⊉↱≁$1132$↬($1280$⇣⩺⋵$2467$)≚⋢)⇣⩺⋵((≔$6223$)⊉↱≁($4361$⩁⩘$7409$)⫔⩽⩺(≋(⇖$1356$)))","expression":"(⫖↰⪸1951⊉↱≁⫖↰⪸7A4↬(⫖↰⪸8A8⇣⩺⋵⫖↰⪸1517)≚⋢)⇣⩺⋵((≔⫖↰⪸3727)⊉↱≁(⫖↰⪸2635⩁⩘⫖↰⪸4355)⫔⩽⩺(≋(⇖⫖↰⪸950)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28425,"operation_count":11,"complexity_ratio":2584.090909090909,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3085,"base":12},"right_expr":{"type":"numeric_atoms","value":1132,"base":12}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1280,"base":12},"right_expr":{"type":"numeric_atoms","value":2467,"base":12}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":6223,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4361,"base":12},"right_expr":{"type":"numeric_atoms","value":7409,"base":12}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1356,"base":12}}}}},"used_operators":["F4yD0voBRQ","MahUMFw56D","B5M0gjZbta","w2P8NbNXyL","i9eR4S00cU","8FLs4eVsLt","gub5Cegaqo","61wBmkZwlr","tfWHHpNKUN"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","3ViojmjbAp","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Tw270M8GLb","fu6greOZ01","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DpFCA1CohY","IWmyXbctLI","7j4O788W3g","2DQ55sFlQl"],"result":"⫖↰⪸-198","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3085","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=1132, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=24006","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=2467, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=24006, right_input=-260, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=6223","layer":4},{"info":"compute unary expreesion, input=6223, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-172950","layer":3},{"info":"number node, value=4361","layer":4},{"info":"number node, value=7409","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=7409, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=30584","layer":3},{"info":"compute binary expreesion, left_input=-172950, right_input=30584, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-1914118","layer":2},{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-1914118, right_input=160, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1951⊉↱≁⫖↰⪸7A4↬(⫖↰⪸8A8⇣⩺⋵⫖↰⪸1517)≚⋢)⇣⩺⋵((≔⫖↰⪸3727)⊉↱≁(⫖↰⪸2635⩁⩘⫖↰⪸4355)⫔⩽⩺(≋(⇖⫖↰⪸950)))=⫖↰⪸-198","reverse_text":"⫖↰⪸-198=(⫖↰⪸1951⊉↱≁⫖↰⪸7A4↬(⫖↰⪸8A8⇣⩺⋵⫖↰⪸1517)≚⋢)⇣⩺⋵((≔⫖↰⪸3727)⊉↱≁(⫖↰⪸2635⩁⩘⫖↰⪸4355)⫔⩽⩺(≋(⇖⫖↰⪸950)))","cot":[{"info":"⫖↰⪸1951⊉↱≁⫖↰⪸7A4=⫖↰⪸11A86","layer":3},{"info":"⫖↰⪸8A8⇣⩺⋵⫖↰⪸1517=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸11A86↬⫖↰⪸-198=NaN","layer":2},{"info":"NaN≚⋢=⫖↰⪸-75","layer":1},{"info":"≔⫖↰⪸3727=⫖↰⪸-84106","layer":3},{"info":"⫖↰⪸2635⩁⩘⫖↰⪸4355=⫖↰⪸15848","layer":3},{"info":"⫖↰⪸-84106⊉↱≁⫖↰⪸15848=⫖↰⪸-78385A","layer":2},{"info":"⇖⫖↰⪸950=⫖↰⪸114","layer":3},{"info":"≋⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-78385A⫔⩽⩺⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸-75⇣⩺⋵NaN=⫖↰⪸-198","layer":0}]}
{"id":142,"expression_no_base_symbol":"(($1664$⪨≂$6177$)⨚(⨩∲⋌$3196$))↳∿⪆($2921$↸$7192$)⪎↠($4281$∛$1094$)⪄(⇵⪽(($1910$⫸⇳$3932$)↤⩊($1653$∓⋝$1079$)))","expression":"((⫖↰⪸B68⪨≂⫖↰⪸36A9)⨚(⨩∲⋌⫖↰⪸1A24))↳∿⪆(⫖↰⪸1835↸⫖↰⪸41B4)⪎↠(⫖↰⪸2589∛⫖↰⪸772)⪄(⇵⪽((⫖↰⪸1132⫸⇳⫖↰⪸2338)↤⩊(⫖↰⪸B59∓⋝⫖↰⪸75B)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5661,"operation_count":12,"complexity_ratio":471.75,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1664,"base":12},"right_expr":{"type":"numeric_atoms","value":6177,"base":12}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3196,"base":12}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2921,"base":12},"right_expr":{"type":"numeric_atoms","value":7192,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4281,"base":12},"right_expr":{"type":"numeric_atoms","value":1094,"base":12}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1910,"base":12},"right_expr":{"type":"numeric_atoms","value":3932,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1653,"base":12},"right_expr":{"type":"numeric_atoms","value":1079,"base":12}}}}},"used_operators":["SUmda5xLS4","Cw4SuJJGHO","nREPSIbpBE","sdazOOVcIp","aSik1wnThz","3tVxb0NHM4","1eCjFl0mb9","w2537kitQq","ZGCBLdVRRX","13rbtpv6ld","gx7XJ7hdpj","PoHhknlbAi"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","U7g4x0WXJJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1664","layer":4},{"info":"number node, value=6177","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=6177, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8924","layer":3},{"info":"number node, value=3196","layer":4},{"info":"compute unary expreesion, input=3196, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3719","layer":3},{"info":"compute binary expreesion, left_input=-8924, right_input=-3719, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2038","layer":2},{"info":"number node, value=2921","layer":4},{"info":"number node, value=7192","layer":4},{"info":"compute binary expreesion, left_input=2921, right_input=7192, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2921","layer":3},{"info":"number node, value=4281","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=4281, right_input=1094, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2921, right_input=67, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-2038, right_input=160, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1910","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=3932, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1653","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1079, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B68⪨≂⫖↰⪸36A9)⨚(⨩∲⋌⫖↰⪸1A24))↳∿⪆(⫖↰⪸1835↸⫖↰⪸41B4)⪎↠(⫖↰⪸2589∛⫖↰⪸772)⪄(⇵⪽((⫖↰⪸1132⫸⇳⫖↰⪸2338)↤⩊(⫖↰⪸B59∓⋝⫖↰⪸75B)))=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=((⫖↰⪸B68⪨≂⫖↰⪸36A9)⨚(⨩∲⋌⫖↰⪸1A24))↳∿⪆(⫖↰⪸1835↸⫖↰⪸41B4)⪎↠(⫖↰⪸2589∛⫖↰⪸772)⪄(⇵⪽((⫖↰⪸1132⫸⇳⫖↰⪸2338)↤⩊(⫖↰⪸B59∓⋝⫖↰⪸75B)))","cot":[{"info":"⫖↰⪸B68⪨≂⫖↰⪸36A9=⫖↰⪸-51B8","layer":3},{"info":"⨩∲⋌⫖↰⪸1A24=⫖↰⪸-219B","layer":3},{"info":"⫖↰⪸-51B8⨚⫖↰⪸-219B=⫖↰⪸-121A","layer":2},{"info":"⫖↰⪸1835↸⫖↰⪸41B4=⫖↰⪸1835","layer":3},{"info":"⫖↰⪸2589∛⫖↰⪸772=⫖↰⪸57","layer":3},{"info":"⫖↰⪸1835⪎↠⫖↰⪸57=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-121A↳∿⪆⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸1132⫸⇳⫖↰⪸2338=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B59∓⋝⫖↰⪸75B=⫖↰⪸57","layer":3},{"info":"⫖↰⪸0↤⩊⫖↰⪸57=NaN","layer":2},{"info":"⇵⪽NaN=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":143,"expression_no_base_symbol":"↘(⊀(($3364$⨎⋸⪻)⫚⫇))","expression":"↘(⊀((⫖↰⪸1B44⨎⋸⪻)⫚⫇))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":166,"operation_count":4,"complexity_ratio":41.5,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":3364,"base":12}}}}},"used_operators":["LdNpr8hQHL","oPMjh9089D","SdCjLnB6rR","Dk5vyLCiGd"],"dependent_operators":["uFcxV4UQCh","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","IWmyXbctLI"],"result":"⫖↰⪸36","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3364","layer":4},{"info":"compute unary expreesion, input=3364, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=7044","layer":3},{"info":"compute unary expreesion, input=7044, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=12620","layer":2},{"info":"compute unary expreesion, input=12620, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=50218","layer":1},{"info":"compute unary expreesion, input=50218, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=42","layer":0}],"base":12,"result_base":12,"text":"↘(⊀((⫖↰⪸1B44⨎⋸⪻)⫚⫇))=⫖↰⪸36","reverse_text":"⫖↰⪸36=↘(⊀((⫖↰⪸1B44⨎⋸⪻)⫚⫇))","cot":[{"info":"⫖↰⪸1B44⨎⋸⪻=⫖↰⪸40B0","layer":3},{"info":"⫖↰⪸40B0⫚⫇=⫖↰⪸7378","layer":2},{"info":"⊀⫖↰⪸7378=⫖↰⪸2508A","layer":1},{"info":"↘⫖↰⪸2508A=⫖↰⪸36","layer":0}]}
{"id":144,"expression_no_base_symbol":"(($5572$⪶≀⋏$2315$⫌⩉⩟$2290$⪎↠$1611$)↸($2626$⇼⇔∾$7264$)≎⊠⪸($3457$⊍⩺⋍$5845$))⩧⪆($2217$⨓$5206$≥⨤⩑$2599$⇂≾⫗$5885$)⊲⩕⊾(($2226$⊍⩺⋍$2561$)⪡($2790$⊍⩺⋍$2449$))","expression":"((⫖↰⪸3284⪶≀⋏⫖↰⪸140B⫌⩉⩟⫖↰⪸13AA⪎↠⫖↰⪸B23)↸(⫖↰⪸162A⇼⇔∾⫖↰⪸4254)≎⊠⪸(⫖↰⪸2001⊍⩺⋍⫖↰⪸3471))⩧⪆(⫖↰⪸1349⨓⫖↰⪸301A≥⨤⩑⫖↰⪸1607⇂≾⫗⫖↰⪸34A5)⊲⩕⊾((⫖↰⪸1356⊍⩺⋍⫖↰⪸1595)⪡(⫖↰⪸1746⊍⩺⋍⫖↰⪸1501))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43999,"operation_count":15,"complexity_ratio":2933.266666666667,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5572,"base":12},"right_expr":{"type":"numeric_atoms","value":2315,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2290,"base":12},"right_expr":{"type":"numeric_atoms","value":1611,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2626,"base":12},"right_expr":{"type":"numeric_atoms","value":7264,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3457,"base":12},"right_expr":{"type":"numeric_atoms","value":5845,"base":12}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2217,"base":12},"right_expr":{"type":"numeric_atoms","value":5206,"base":12}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2599,"base":12},"right_expr":{"type":"numeric_atoms","value":5885,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2226,"base":12},"right_expr":{"type":"numeric_atoms","value":2561,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2790,"base":12},"right_expr":{"type":"numeric_atoms","value":2449,"base":12}}}}},"used_operators":["Ikt5ks8PT7","1eCjFl0mb9","XIIwhv8d0m","zR4jO40bMj","3tVxb0NHM4","bJkvcejdHO","tifHPKVTfV","OXDGMFPWZM","DmTXOeWf9t","gJLn6v0xnP","3ViojmjbAp","aBQ6xLxuTc","oraRL2iQuh"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5572","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=5572, right_input=2315, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21578","layer":3},{"info":"number node, value=2290","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=1611, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-21578, right_input=160, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2626","layer":4},{"info":"number node, value=7264","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=7264, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4638","layer":3},{"info":"number node, value=3457","layer":4},{"info":"number node, value=5845","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=5845, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4638, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=67, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-50","layer":1},{"info":"number node, value=2217","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=5206, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5209","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=5885","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=5885, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-5209, right_input=-676, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"number node, value=2226","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=2561, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2790","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=2449, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3284⪶≀⋏⫖↰⪸140B⫌⩉⩟⫖↰⪸13AA⪎↠⫖↰⪸B23)↸(⫖↰⪸162A⇼⇔∾⫖↰⪸4254)≎⊠⪸(⫖↰⪸2001⊍⩺⋍⫖↰⪸3471))⩧⪆(⫖↰⪸1349⨓⫖↰⪸301A≥⨤⩑⫖↰⪸1607⇂≾⫗⫖↰⪸34A5)⊲⩕⊾((⫖↰⪸1356⊍⩺⋍⫖↰⪸1595)⪡(⫖↰⪸1746⊍⩺⋍⫖↰⪸1501))=NaN","reverse_text":"NaN=((⫖↰⪸3284⪶≀⋏⫖↰⪸140B⫌⩉⩟⫖↰⪸13AA⪎↠⫖↰⪸B23)↸(⫖↰⪸162A⇼⇔∾⫖↰⪸4254)≎⊠⪸(⫖↰⪸2001⊍⩺⋍⫖↰⪸3471))⩧⪆(⫖↰⪸1349⨓⫖↰⪸301A≥⨤⩑⫖↰⪸1607⇂≾⫗⫖↰⪸34A5)⊲⩕⊾((⫖↰⪸1356⊍⩺⋍⫖↰⪸1595)⪡(⫖↰⪸1746⊍⩺⋍⫖↰⪸1501))","cot":[{"info":"⫖↰⪸3284⪶≀⋏⫖↰⪸140B=⫖↰⪸-105A2","layer":3},{"info":"⫖↰⪸13AA⪎↠⫖↰⪸B23=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-105A2⫌⩉⩟⫖↰⪸114=⫖↰⪸-42","layer":2},{"info":"⫖↰⪸162A⇼⇔∾⫖↰⪸4254=⫖↰⪸2826","layer":3},{"info":"⫖↰⪸2001⊍⩺⋍⫖↰⪸3471=NaN","layer":3},{"info":"⫖↰⪸2826≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-42↸⫖↰⪸57=⫖↰⪸-42","layer":1},{"info":"⫖↰⪸1349⨓⫖↰⪸301A=⫖↰⪸-3021","layer":3},{"info":"⫖↰⪸1607⇂≾⫗⫖↰⪸34A5=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸-3021≥⨤⩑⫖↰⪸-484=NaN","layer":2},{"info":"⫖↰⪸1356⊍⩺⋍⫖↰⪸1595=NaN","layer":3},{"info":"⫖↰⪸1746⊍⩺⋍⫖↰⪸1501=NaN","layer":3},{"info":"NaN⪡NaN=NaN","layer":2},{"info":"NaN⊲⩕⊾NaN=NaN","layer":1},{"info":"⫖↰⪸-42⩧⪆NaN=NaN","layer":0}]}
{"id":145,"expression_no_base_symbol":"(≻⋜($1632$⪨⊡$3751$))→⨶⪴(⇉-⫰(⪛⨧$3814$))⫌⩉⩟($2875$∙⊟$1675$⇼⇔∾(↑$1984$))⨑⩅≇((⊄⩳↩$1790$)⪛$1940$⫁⪎$1644$)","expression":"(≻⋜(⫖↰⪸B40⪨⊡⫖↰⪸2207))→⨶⪴(⇉-⫰(⪛⨧⫖↰⪸225A))⫌⩉⩟(⫖↰⪸17B7∙⊟⫖↰⪸B77⇼⇔∾(↑⫖↰⪸1194))⨑⩅≇((⊄⩳↩⫖↰⪸1052)⪛⫖↰⪸1158⫁⪎⫖↰⪸B50)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10180,"operation_count":13,"complexity_ratio":783.0769230769231,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1632,"base":12},"right_expr":{"type":"numeric_atoms","value":3751,"base":12}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3814,"base":12}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2875,"base":12},"right_expr":{"type":"numeric_atoms","value":1675,"base":12}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1984,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1790,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1940,"base":12},"right_expr":{"type":"numeric_atoms","value":1644,"base":12}}}}},"used_operators":["XIIwhv8d0m","bF6eod5Gvf","3tj9sqzovi","kuIXHzHcAH","IGFM8TAlm9","6NJAcO2OWT","h92wMvzauj","tifHPKVTfV","SxTAKzQCrw","tR7O2zTn5j","uFcxV4UQCh","8w2t5hMYqp","xRrnTEsQ6j"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","8w2t5hMYqp","9FxExcQeMw","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eH2TOUuTDT","eewbuw0ToL","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫖↰⪸-21B54","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1632","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=3751, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=0","layer":2},{"info":"number node, value=3814","layer":4},{"info":"compute unary expreesion, input=3814, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=9029","layer":3},{"info":"compute unary expreesion, input=9029, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-72","layer":1},{"info":"number node, value=2875","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=1675, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=47221","layer":3},{"info":"number node, value=1984","layer":4},{"info":"compute unary expreesion, input=1984, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=47221, right_input=192, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-47029","layer":2},{"info":"number node, value=1790","layer":4},{"info":"compute unary expreesion, input=1790, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5370","layer":3},{"info":"number node, value=1940","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=1644, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=296","layer":3},{"info":"compute binary expreesion, left_input=-5370, right_input=296, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=254","layer":2},{"info":"compute binary expreesion, left_input=-47029, right_input=254, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=-72, right_input=-55, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-44848","layer":0}],"base":12,"result_base":12,"text":"(≻⋜(⫖↰⪸B40⪨⊡⫖↰⪸2207))→⨶⪴(⇉-⫰(⪛⨧⫖↰⪸225A))⫌⩉⩟(⫖↰⪸17B7∙⊟⫖↰⪸B77⇼⇔∾(↑⫖↰⪸1194))⨑⩅≇((⊄⩳↩⫖↰⪸1052)⪛⫖↰⪸1158⫁⪎⫖↰⪸B50)=⫖↰⪸-21B54","reverse_text":"⫖↰⪸-21B54=(≻⋜(⫖↰⪸B40⪨⊡⫖↰⪸2207))→⨶⪴(⇉-⫰(⪛⨧⫖↰⪸225A))⫌⩉⩟(⫖↰⪸17B7∙⊟⫖↰⪸B77⇼⇔∾(↑⫖↰⪸1194))⨑⩅≇((⊄⩳↩⫖↰⪸1052)⪛⫖↰⪸1158⫁⪎⫖↰⪸B50)","cot":[{"info":"⫖↰⪸B40⪨⊡⫖↰⪸2207=⫖↰⪸0","layer":3},{"info":"≻⋜⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⪛⨧⫖↰⪸225A=⫖↰⪸5285","layer":3},{"info":"⇉-⫰⫖↰⪸5285=⫖↰⪸18","layer":2},{"info":"⫖↰⪸0→⨶⪴⫖↰⪸18=⫖↰⪸-60","layer":1},{"info":"⫖↰⪸17B7∙⊟⫖↰⪸B77=⫖↰⪸233B1","layer":3},{"info":"↑⫖↰⪸1194=⫖↰⪸140","layer":3},{"info":"⫖↰⪸233B1⇼⇔∾⫖↰⪸140=⫖↰⪸-23271","layer":2},{"info":"⊄⩳↩⫖↰⪸1052=⫖↰⪸-3136","layer":3},{"info":"⫖↰⪸1158⫁⪎⫖↰⪸B50=⫖↰⪸208","layer":3},{"info":"⫖↰⪸-3136⪛⫖↰⪸208=⫖↰⪸192","layer":2},{"info":"⫖↰⪸-23271⨑⩅≇⫖↰⪸192=⫖↰⪸-47","layer":1},{"info":"⫖↰⪸-60⫌⩉⩟⫖↰⪸-47=⫖↰⪸-21B54","layer":0}]}
{"id":146,"expression_no_base_symbol":"($3675$⋝⋈⪟$1385$⇄($7822$⋥≓≎$7681$))∳⫺($1070$↞⋁$2545$)⨂≜($2633$⨚⇆$3344$)⇷($1030$≄⊠$1524$⋅⇍$4630$⨐⩸⫘$5371$)⫣⪄⊒(($1059$≬⋮$2053$)⪘⫢(⊑$2191$))","expression":"(⫖↰⪸2163⋝⋈⪟⫖↰⪸975⇄(⫖↰⪸463A⋥≓≎⫖↰⪸4541))∳⫺(⫖↰⪸752↞⋁⫖↰⪸1581)⨂≜(⫖↰⪸1635⨚⇆⫖↰⪸1B28)⇷(⫖↰⪸71A≄⊠⫖↰⪸A70⋅⇍⫖↰⪸281A⨐⩸⫘⫖↰⪸3137)⫣⪄⊒((⫖↰⪸743≬⋮⫖↰⪸1231)⪘⫢(⊑⫖↰⪸1327))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22927,"operation_count":15,"complexity_ratio":1528.4666666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3675,"base":12},"right_expr":{"type":"numeric_atoms","value":1385,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7822,"base":12},"right_expr":{"type":"numeric_atoms","value":7681,"base":12}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1070,"base":12},"right_expr":{"type":"numeric_atoms","value":2545,"base":12}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2633,"base":12},"right_expr":{"type":"numeric_atoms","value":3344,"base":12}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1030,"base":12},"right_expr":{"type":"numeric_atoms","value":1524,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4630,"base":12},"right_expr":{"type":"numeric_atoms","value":5371,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1059,"base":12},"right_expr":{"type":"numeric_atoms","value":2053,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2191,"base":12}}}}},"used_operators":["mp7IySMOzn","AzXXKTstlj","3EYGwJThht","2DDjHMKMc0","Qy55tPpLXF","k1SHOSEABc","RqrPlJkxDo","lwHaAYXP2r","RabNbG55vr","AdZkA7nFnk","vXNesLlMH1","fu6greOZ01","oacrs7FA3X","kbkesczE7y","IkUmn0D7oy"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⫖↰⪸228","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3675","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=1385, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3675","layer":3},{"info":"number node, value=7822","layer":4},{"info":"number node, value=7681","layer":4},{"info":"compute binary expreesion, left_input=7822, right_input=7681, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7573","layer":3},{"info":"compute binary expreesion, left_input=3675, right_input=7573, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=2545, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2633","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=3344, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1524, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=29052","layer":3},{"info":"number node, value=4630","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=4630, right_input=5371, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29052, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-29625","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2053, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2191","layer":4},{"info":"compute unary expreesion, input=2191, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=192, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-29625, 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":1},{"info":"compute binary expreesion, left_input=-260, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2163⋝⋈⪟⫖↰⪸975⇄(⫖↰⪸463A⋥≓≎⫖↰⪸4541))∳⫺(⫖↰⪸752↞⋁⫖↰⪸1581)⨂≜(⫖↰⪸1635⨚⇆⫖↰⪸1B28)⇷(⫖↰⪸71A≄⊠⫖↰⪸A70⋅⇍⫖↰⪸281A⨐⩸⫘⫖↰⪸3137)⫣⪄⊒((⫖↰⪸743≬⋮⫖↰⪸1231)⪘⫢(⊑⫖↰⪸1327))=⫖↰⪸228","reverse_text":"⫖↰⪸228=(⫖↰⪸2163⋝⋈⪟⫖↰⪸975⇄(⫖↰⪸463A⋥≓≎⫖↰⪸4541))∳⫺(⫖↰⪸752↞⋁⫖↰⪸1581)⨂≜(⫖↰⪸1635⨚⇆⫖↰⪸1B28)⇷(⫖↰⪸71A≄⊠⫖↰⪸A70⋅⇍⫖↰⪸281A⨐⩸⫘⫖↰⪸3137)⫣⪄⊒((⫖↰⪸743≬⋮⫖↰⪸1231)⪘⫢(⊑⫖↰⪸1327))","cot":[{"info":"⫖↰⪸2163⋝⋈⪟⫖↰⪸975=⫖↰⪸2163","layer":3},{"info":"⫖↰⪸463A⋥≓≎⫖↰⪸4541=⫖↰⪸4471","layer":3},{"info":"⫖↰⪸2163⇄⫖↰⪸4471=⫖↰⪸0","layer":2},{"info":"⫖↰⪸752↞⋁⫖↰⪸1581=NaN","layer":3},{"info":"⫖↰⪸1635⨚⇆⫖↰⪸1B28=NaN","layer":3},{"info":"NaN⨂≜NaN=NaN","layer":2},{"info":"⫖↰⪸0∳⫺NaN=⫖↰⪸-198","layer":1},{"info":"⫖↰⪸71A≄⊠⫖↰⪸A70=⫖↰⪸14990","layer":3},{"info":"⫖↰⪸281A⨐⩸⫘⫖↰⪸3137=NaN","layer":3},{"info":"⫖↰⪸14990⋅⇍NaN=⫖↰⪸-15189","layer":2},{"info":"⫖↰⪸743≬⋮⫖↰⪸1231=⫖↰⪸604","layer":3},{"info":"⊑⫖↰⪸1327=⫖↰⪸140","layer":3},{"info":"⫖↰⪸604⪘⫢⫖↰⪸140=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-15189⫣⪄⊒⫖↰⪸0=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-198⇷⫖↰⪸114=⫖↰⪸228","layer":0}]}
{"id":147,"expression_no_base_symbol":"((⇐($1539$⩖⊿$3268$))⩧⪆(↞≼($2897$⨱∎)))↳∿⪆(($1335$⇻⋧≁$2184$⋥≓≎($1165$∖$1827$))⨎(⋠∜(⫶⊄≣$5319$)))","expression":"((⇐(⫖↰⪸A83⩖⊿⫖↰⪸1A84))⩧⪆(↞≼(⫖↰⪸1815⨱∎)))↳∿⪆((⫖↰⪸933⇻⋧≁⫖↰⪸1320⋥≓≎(⫖↰⪸811∖⫖↰⪸1083))⨎(⋠∜(⫶⊄≣⫖↰⪸30B3)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39958139,"operation_count":12,"complexity_ratio":3329844.9166666665,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1539,"base":12},"right_expr":{"type":"numeric_atoms","value":3268,"base":12}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2897,"base":12}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1335,"base":12},"right_expr":{"type":"numeric_atoms","value":2184,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1165,"base":12},"right_expr":{"type":"numeric_atoms","value":1827,"base":12}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":5319,"base":12}}}}},"used_operators":["Cw4SuJJGHO","Ikt5ks8PT7","nmZMaaE0Q9","RZ5CV9rWsJ","DE7zCoGJt9","MmTdOpaElr","rJVOvQCfKK","Qy55tPpLXF","jCPkEVoL5K","tXD093vOjl","ZJpFhNJr3x","wxb3vTeyAj"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","tifHPKVTfV","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=3268, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=19906","layer":3},{"info":"compute unary expreesion, input=19906, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=28906","layer":2},{"info":"number node, value=2897","layer":4},{"info":"compute unary expreesion, input=2897, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-414","layer":2},{"info":"compute binary expreesion, left_input=28906, right_input=-414, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=414","layer":1},{"info":"number node, value=1335","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=2184, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=1827, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=5319","layer":4},{"info":"compute unary expreesion, input=5319, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=509344129","layer":3},{"info":"compute unary expreesion, input=509344129, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2037378800","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=2037378800, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2037378800","layer":1},{"info":"compute binary expreesion, left_input=414, right_input=2037378800, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇐(⫖↰⪸A83⩖⊿⫖↰⪸1A84))⩧⪆(↞≼(⫖↰⪸1815⨱∎)))↳∿⪆((⫖↰⪸933⇻⋧≁⫖↰⪸1320⋥≓≎(⫖↰⪸811∖⫖↰⪸1083))⨎(⋠∜(⫶⊄≣⫖↰⪸30B3)))=NaN","reverse_text":"NaN=((⇐(⫖↰⪸A83⩖⊿⫖↰⪸1A84))⩧⪆(↞≼(⫖↰⪸1815⨱∎)))↳∿⪆((⫖↰⪸933⇻⋧≁⫖↰⪸1320⋥≓≎(⫖↰⪸811∖⫖↰⪸1083))⨎(⋠∜(⫶⊄≣⫖↰⪸30B3)))","cot":[{"info":"⫖↰⪸A83⩖⊿⫖↰⪸1A84=⫖↰⪸B62A","layer":3},{"info":"⇐⫖↰⪸B62A=⫖↰⪸1488A","layer":2},{"info":"⫖↰⪸1815⨱∎=⫖↰⪸0","layer":3},{"info":"↞≼⫖↰⪸0=⫖↰⪸-2A6","layer":2},{"info":"⫖↰⪸1488A⩧⪆⫖↰⪸-2A6=⫖↰⪸2A6","layer":1},{"info":"⫖↰⪸933⇻⋧≁⫖↰⪸1320=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸811∖⫖↰⪸1083=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-313⋥≓≎⫖↰⪸0=⫖↰⪸57","layer":2},{"info":"⫶⊄≣⫖↰⪸30B3=⫖↰⪸1226B3401","layer":3},{"info":"⋠∜⫖↰⪸1226B3401=⫖↰⪸48A3927A8","layer":2},{"info":"⫖↰⪸57⨎⫖↰⪸48A3927A8=⫖↰⪸48A3927A8","layer":1},{"info":"⫖↰⪸2A6↳∿⪆⫖↰⪸48A3927A8=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"↘((⩏⊷≩$1107$)↼⊘⨖($1536$⨳⩥⨓$4004$))⩦(($1206$⫡⨏$3058$)≁($2720$⩨$2146$))","expression":"↘((⩏⊷≩⫖↰⪸783)↼⊘⨖(⫖↰⪸A80⨳⩥⨓⫖↰⪸2398))⩦((⫖↰⪸846⫡⨏⫖↰⪸192A)≁(⫖↰⪸16A8⩨⫖↰⪸12AA))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":161,"operation_count":8,"complexity_ratio":20.125,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1107,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1536,"base":12},"right_expr":{"type":"numeric_atoms","value":4004,"base":12}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1206,"base":12},"right_expr":{"type":"numeric_atoms","value":3058,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2720,"base":12},"right_expr":{"type":"numeric_atoms","value":2146,"base":12}}}}},"used_operators":["LdNpr8hQHL","0kmYd0q39Y","bPywburJMS","uOZ1tnYMDE","nCS4ZIUYfx","8N2wDY1A35","QMFrweE19q","2DlMacCsIx"],"dependent_operators":["uFcxV4UQCh","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1913","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=4004, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2468","layer":3},{"info":"compute binary expreesion, left_input=1913, right_input=2468, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4714","layer":2},{"info":"number node, value=1206","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=3058, 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=12929","layer":3},{"info":"number node, value=2720","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=2146, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12929, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":2},{"info":"compute binary expreesion, left_input=4714, right_input=-8941, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=9428","layer":1},{"info":"compute unary expreesion, input=9428, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=20","layer":0}],"base":12,"result_base":12,"text":"↘((⩏⊷≩⫖↰⪸783)↼⊘⨖(⫖↰⪸A80⨳⩥⨓⫖↰⪸2398))⩦((⫖↰⪸846⫡⨏⫖↰⪸192A)≁(⫖↰⪸16A8⩨⫖↰⪸12AA))=⫖↰⪸18","reverse_text":"⫖↰⪸18=↘((⩏⊷≩⫖↰⪸783)↼⊘⨖(⫖↰⪸A80⨳⩥⨓⫖↰⪸2398))⩦((⫖↰⪸846⫡⨏⫖↰⪸192A)≁(⫖↰⪸16A8⩨⫖↰⪸12AA))","cot":[{"info":"⩏⊷≩⫖↰⪸783=⫖↰⪸1135","layer":3},{"info":"⫖↰⪸A80⨳⩥⨓⫖↰⪸2398=⫖↰⪸1518","layer":3},{"info":"⫖↰⪸1135↼⊘⨖⫖↰⪸1518=⫖↰⪸288A","layer":2},{"info":"⫖↰⪸846⫡⨏⫖↰⪸192A=⫖↰⪸7595","layer":3},{"info":"⫖↰⪸16A8⩨⫖↰⪸12AA=⫖↰⪸0","layer":3},{"info":"⫖↰⪸7595≁⫖↰⪸0=⫖↰⪸-5211","layer":2},{"info":"⫖↰⪸288A⩦⫖↰⪸-5211=⫖↰⪸5558","layer":1},{"info":"↘⫖↰⪸5558=⫖↰⪸18","layer":0}]}
{"id":149,"expression_no_base_symbol":"(($5552$≒∊$2662$)⫉⨲⊜$2663$∺≝⩲$1063$⊹∫⫚(⨙⪌($4666$∙⊟$2859$)))⪔⊥(⨵($1117$∺≝⩲$1238$⋥≓≎(⊖$3196$)))","expression":"((⫖↰⪸3268≒∊⫖↰⪸165A)⫉⨲⊜⫖↰⪸165B∺≝⩲⫖↰⪸747⊹∫⫚(⨙⪌(⫖↰⪸284A∙⊟⫖↰⪸17A3)))⪔⊥(⨵(⫖↰⪸791∺≝⩲⫖↰⪸872⋥≓≎(⊖⫖↰⪸1A24)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21001,"operation_count":11,"complexity_ratio":1909.1818181818182,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5552,"base":12},"right_expr":{"type":"numeric_atoms","value":2662,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2663,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4666,"base":12},"right_expr":{"type":"numeric_atoms","value":2859,"base":12}}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1117,"base":12},"right_expr":{"type":"numeric_atoms","value":1238,"base":12}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3196,"base":12}}}}},"used_operators":["HJ9erzHUuu","uWAJUKEvyW","WhqkvtTD3t","5KTvxBwnZo","KPf6cnQVty","vEGLkm4Z2k","SxTAKzQCrw","Tl3Y52tvF8","Qy55tPpLXF","U6pG0PXrV3"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eewbuw0ToL","zVYPLywUTj","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"⫖↰⪸-71B1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5552","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=5552, right_input=2662, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5068","layer":3},{"info":"number node, value=2663","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=1063, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5068, right_input=160, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=257434550","layer":2},{"info":"number node, value=4666","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=2859, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=70504","layer":3},{"info":"compute unary expreesion, input=70504, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=257434550, right_input=868, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-92","layer":1},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1238, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3196","layer":4},{"info":"compute unary expreesion, input=3196, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-127","layer":2},{"info":"compute unary expreesion, input=-127, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=5903","layer":1},{"info":"compute binary expreesion, left_input=-92, right_input=5903, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-12373","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3268≒∊⫖↰⪸165A)⫉⨲⊜⫖↰⪸165B∺≝⩲⫖↰⪸747⊹∫⫚(⨙⪌(⫖↰⪸284A∙⊟⫖↰⪸17A3)))⪔⊥(⨵(⫖↰⪸791∺≝⩲⫖↰⪸872⋥≓≎(⊖⫖↰⪸1A24)))=⫖↰⪸-71B1","reverse_text":"⫖↰⪸-71B1=((⫖↰⪸3268≒∊⫖↰⪸165A)⫉⨲⊜⫖↰⪸165B∺≝⩲⫖↰⪸747⊹∫⫚(⨙⪌(⫖↰⪸284A∙⊟⫖↰⪸17A3)))⪔⊥(⨵(⫖↰⪸791∺≝⩲⫖↰⪸872⋥≓≎(⊖⫖↰⪸1A24)))","cot":[{"info":"⫖↰⪸3268≒∊⫖↰⪸165A=⫖↰⪸-2B24","layer":3},{"info":"⫖↰⪸165B∺≝⩲⫖↰⪸747=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-2B24⫉⨲⊜⫖↰⪸114=⫖↰⪸7226A3B2","layer":2},{"info":"⫖↰⪸284A∙⊟⫖↰⪸17A3=⫖↰⪸34974","layer":3},{"info":"⨙⪌⫖↰⪸34974=⫖↰⪸604","layer":2},{"info":"⫖↰⪸7226A3B2⊹∫⫚⫖↰⪸604=⫖↰⪸-78","layer":1},{"info":"⫖↰⪸791∺≝⩲⫖↰⪸872=⫖↰⪸114","layer":3},{"info":"⊖⫖↰⪸1A24=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⋥≓≎⫖↰⪸0=⫖↰⪸-A7","layer":2},{"info":"⨵⫖↰⪸-A7=⫖↰⪸34BB","layer":1},{"info":"⫖↰⪸-78⪔⊥⫖↰⪸34BB=⫖↰⪸-71B1","layer":0}]}
{"id":150,"expression_no_base_symbol":"(($3315$⊍⩺⋍$5010$)%$1780$⇤$7688$)⪟⇏($2684$⇤$1790$↳∿⪆($3272$⨱∎))⇚⪠","expression":"((⫖↰⪸1B03⊍⩺⋍⫖↰⪸2A96)%⫖↰⪸1044⇤⫖↰⪸4548)⪟⇏(⫖↰⪸1678⇤⫖↰⪸1052↳∿⪆(⫖↰⪸1A88⨱∎))⇚⪠","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2683,"operation_count":8,"complexity_ratio":335.375,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3315,"base":12},"right_expr":{"type":"numeric_atoms","value":5010,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1780,"base":12},"right_expr":{"type":"numeric_atoms","value":7688,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2684,"base":12},"right_expr":{"type":"numeric_atoms","value":1790,"base":12}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":3272,"base":12}}}}},"used_operators":["Loh9y4A90B","GODebY97qR","k8jYdgA6NY","OXDGMFPWZM","YSKBFp38Pu","Cw4SuJJGHO","MmTdOpaElr"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3315","layer":4},{"info":"number node, value=5010","layer":4},{"info":"compute binary expreesion, left_input=3315, right_input=5010, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1780","layer":4},{"info":"number node, value=7688","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=7688, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-44492","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-44492, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2684","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=1790, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-19522","layer":3},{"info":"number node, value=3272","layer":4},{"info":"compute unary expreesion, input=3272, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-19522, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1B03⊍⩺⋍⫖↰⪸2A96)%⫖↰⪸1044⇤⫖↰⪸4548)⪟⇏(⫖↰⪸1678⇤⫖↰⪸1052↳∿⪆(⫖↰⪸1A88⨱∎))⇚⪠=NaN","reverse_text":"NaN=((⫖↰⪸1B03⊍⩺⋍⫖↰⪸2A96)%⫖↰⪸1044⇤⫖↰⪸4548)⪟⇏(⫖↰⪸1678⇤⫖↰⪸1052↳∿⪆(⫖↰⪸1A88⨱∎))⇚⪠","cot":[{"info":"⫖↰⪸1B03⊍⩺⋍⫖↰⪸2A96=NaN","layer":3},{"info":"⫖↰⪸1044⇤⫖↰⪸4548=⫖↰⪸-218B8","layer":3},{"info":"NaN%⫖↰⪸-218B8=NaN","layer":2},{"info":"⫖↰⪸1678⇤⫖↰⪸1052=⫖↰⪸-B36A","layer":3},{"info":"⫖↰⪸1A88⨱∎=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-B36A↳∿⪆⫖↰⪸0=NaN","layer":2},{"info":"NaN⪟⇏NaN=NaN","layer":1},{"info":"NaN⇚⪠=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"⇋↷($7850$⇤$1425$⪔($2420$⊾⪯⋞$4858$)⇴∐($2416$↱$1015$)⨼⩣($2649$∙∹∝$4725$))","expression":"⇋↷(⫖↰⪸4662⇤⫖↰⪸9A9⪔(⫖↰⪸1498⊾⪯⋞⫖↰⪸298A)⇴∐(⫖↰⪸1494↱⫖↰⪸707)⨼⩣(⫖↰⪸1649∙∹∝⫖↰⪸2899))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9894,"operation_count":8,"complexity_ratio":1236.75,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":7850,"base":12},"right_expr":{"type":"numeric_atoms","value":1425,"base":12}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2420,"base":12},"right_expr":{"type":"numeric_atoms","value":4858,"base":12}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2416,"base":12},"right_expr":{"type":"numeric_atoms","value":1015,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2649,"base":12},"right_expr":{"type":"numeric_atoms","value":4725,"base":12}}}}},"used_operators":["SWo3A1KBJH","HnzytWxmAO","GjBEYRfMaF","YSKBFp38Pu","HK0tfVPux8","JxwMv5le6e","SR5kFfdi6N","HmxsFra2vL"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⫖↰⪸1780","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7850","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=7850, right_input=1425, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-43527","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=4858","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=4858, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9290","layer":3},{"info":"compute binary expreesion, left_input=-43527, right_input=9290, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1015, 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=-2523","layer":3},{"info":"number node, value=2649","layer":4},{"info":"number node, value=4725","layer":4},{"info":"compute binary expreesion, left_input=2649, right_input=4725, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2523, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=354","layer":1},{"info":"compute unary expreesion, input=354, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=2832","layer":0}],"base":12,"result_base":12,"text":"⇋↷(⫖↰⪸4662⇤⫖↰⪸9A9⪔(⫖↰⪸1498⊾⪯⋞⫖↰⪸298A)⇴∐(⫖↰⪸1494↱⫖↰⪸707)⨼⩣(⫖↰⪸1649∙∹∝⫖↰⪸2899))=⫖↰⪸1780","reverse_text":"⫖↰⪸1780=⇋↷(⫖↰⪸4662⇤⫖↰⪸9A9⪔(⫖↰⪸1498⊾⪯⋞⫖↰⪸298A)⇴∐(⫖↰⪸1494↱⫖↰⪸707)⨼⩣(⫖↰⪸1649∙∹∝⫖↰⪸2899))","cot":[{"info":"⫖↰⪸4662⇤⫖↰⪸9A9=⫖↰⪸-21233","layer":3},{"info":"⫖↰⪸1498⊾⪯⋞⫖↰⪸298A=⫖↰⪸5462","layer":3},{"info":"⫖↰⪸-21233⪔⫖↰⪸5462=⫖↰⪸316","layer":2},{"info":"⫖↰⪸1494↱⫖↰⪸707=⫖↰⪸-1563","layer":3},{"info":"⫖↰⪸1649∙∹∝⫖↰⪸2899=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1563⨼⩣⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸316⇴∐NaN=⫖↰⪸256","layer":1},{"info":"⇋↷⫖↰⪸256=⫖↰⪸1780","layer":0}]}
{"id":152,"expression_no_base_symbol":"(($5261$⇴∐$1798$)↳≱(⇘$3155$)⫠↝⫳)⩒⫫($5554$⊨$1149$)≁↽≥(⨆≐≲$2143$)⪚(($1526$⨽$7324$)≎⊠⪸($5309$⪨≂$2958$))","expression":"((⫖↰⪸3065⇴∐⫖↰⪸105A)↳≱(⇘⫖↰⪸19AB)⫠↝⫳)⩒⫫(⫖↰⪸326A⊨⫖↰⪸7B9)≁↽≥(⨆≐≲⫖↰⪸12A7)⪚((⫖↰⪸A72⨽⫖↰⪸42A4)≎⊠⪸(⫖↰⪸30A5⪨≂⫖↰⪸1866))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8490,"operation_count":12,"complexity_ratio":707.5,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5261,"base":12},"right_expr":{"type":"numeric_atoms","value":1798,"base":12}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3155,"base":12}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5554,"base":12},"right_expr":{"type":"numeric_atoms","value":1149,"base":12}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2143,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1526,"base":12},"right_expr":{"type":"numeric_atoms","value":7324,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5309,"base":12},"right_expr":{"type":"numeric_atoms","value":2958,"base":12}}}}},"used_operators":["KFSx94NKJn","8n5YIzOsVS","JwTKLfZU96","HnzytWxmAO","MGuIdZPyUC","HrjLwUk87U","ncHt1X6cMc","vg4gO5BX6G","Bi9z9uYZqW","bJkvcejdHO","8HhzD0ZcuI","sdazOOVcIp"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5261","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=5261, right_input=1798, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3155","layer":4},{"info":"compute unary expreesion, input=3155, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=183682","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=183682, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=623","layer":1},{"info":"number node, value=5554","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=5554, right_input=1149, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=23247","layer":3},{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=23119512","layer":3},{"info":"compute binary expreesion, left_input=23247, right_input=23119512, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=358637","layer":2},{"info":"number node, value=1526","layer":4},{"info":"number node, value=7324","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=7324, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7006686","layer":3},{"info":"number node, value=5309","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=5309, right_input=2958, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4804","layer":3},{"info":"compute binary expreesion, left_input=-7006686, right_input=4804, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1814731674","layer":2},{"info":"compute binary expreesion, left_input=358637, right_input=1814731674, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=623, right_input=-inf, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3065⇴∐⫖↰⪸105A)↳≱(⇘⫖↰⪸19AB)⫠↝⫳)⩒⫫(⫖↰⪸326A⊨⫖↰⪸7B9)≁↽≥(⨆≐≲⫖↰⪸12A7)⪚((⫖↰⪸A72⨽⫖↰⪸42A4)≎⊠⪸(⫖↰⪸30A5⪨≂⫖↰⪸1866))=NaN","reverse_text":"NaN=((⫖↰⪸3065⇴∐⫖↰⪸105A)↳≱(⇘⫖↰⪸19AB)⫠↝⫳)⩒⫫(⫖↰⪸326A⊨⫖↰⪸7B9)≁↽≥(⨆≐≲⫖↰⪸12A7)⪚((⫖↰⪸A72⨽⫖↰⪸42A4)≎⊠⪸(⫖↰⪸30A5⪨≂⫖↰⪸1866))","cot":[{"info":"⫖↰⪸3065⇴∐⫖↰⪸105A=NaN","layer":3},{"info":"⇘⫖↰⪸19AB=⫖↰⪸8A36A","layer":3},{"info":"NaN↳≱⫖↰⪸8A36A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⫠↝⫳=⫖↰⪸43B","layer":1},{"info":"⫖↰⪸326A⊨⫖↰⪸7B9=⫖↰⪸11553","layer":3},{"info":"⨆≐≲⫖↰⪸12A7=⫖↰⪸78AB420","layer":3},{"info":"⫖↰⪸11553≁↽≥⫖↰⪸78AB420=⫖↰⪸153665","layer":2},{"info":"⫖↰⪸A72⨽⫖↰⪸42A4=⫖↰⪸-241A966","layer":3},{"info":"⫖↰⪸30A5⪨≂⫖↰⪸1866=⫖↰⪸2944","layer":3},{"info":"⫖↰⪸-241A966≎⊠⪸⫖↰⪸2944=⫖↰⪸4278BBB36","layer":2},{"info":"⫖↰⪸153665⪚⫖↰⪸4278BBB36=-Inf","layer":1},{"info":"⫖↰⪸43B⩒⫫-Inf=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"((⇖(↨$5550$))↳≱($4615$↳≱$2159$⨽$1548$⩁⩘$7617$))⨑⩅≇((⊿$1267$)≃$5484$⪡$3112$⊝)","expression":"((⇖(↨⫖↰⪸3266))↳≱(⫖↰⪸2807↳≱⫖↰⪸12BB⨽⫖↰⪸A90⩁⩘⫖↰⪸44A9))⨑⩅≇((⊿⫖↰⪸897)≃⫖↰⪸3210⪡⫖↰⪸1974⊝)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1383,"operation_count":11,"complexity_ratio":125.72727272727273,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5550,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4615,"base":12},"right_expr":{"type":"numeric_atoms","value":2159,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1548,"base":12},"right_expr":{"type":"numeric_atoms","value":7617,"base":12}}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1267,"base":12}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5484,"base":12},"right_expr":{"type":"numeric_atoms","value":3112,"base":12}}}}},"used_operators":["h92wMvzauj","JwTKLfZU96","tfWHHpNKUN","jiX4gk2v2Q","8HhzD0ZcuI","gub5Cegaqo","O6EZ0fifGK","YbVcJGFEVW","DO4fhlbJSI","oraRL2iQuh"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2DQ55sFlQl","rGHVDoGpnC","oZj3VtZNQx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DpFCA1CohY","IWmyXbctLI","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5550","layer":4},{"info":"compute unary expreesion, input=5550, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=4615","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=4615, right_input=2159, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1548","layer":4},{"info":"number node, value=7617","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=7617, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=31416","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=31416, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-92934","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-92934, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1267","layer":4},{"info":"compute unary expreesion, input=1267, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5806","layer":3},{"info":"number node, value=5484","layer":4},{"info":"number node, value=3112","layer":4},{"info":"compute binary expreesion, left_input=5484, right_input=3112, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-5806, right_input=107, 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=-936","layer":2},{"info":"compute unary expreesion, input=-936, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-936","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-936, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⇖(↨⫖↰⪸3266))↳≱(⫖↰⪸2807↳≱⫖↰⪸12BB⨽⫖↰⪸A90⩁⩘⫖↰⪸44A9))⨑⩅≇((⊿⫖↰⪸897)≃⫖↰⪸3210⪡⫖↰⪸1974⊝)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⇖(↨⫖↰⪸3266))↳≱(⫖↰⪸2807↳≱⫖↰⪸12BB⨽⫖↰⪸A90⩁⩘⫖↰⪸44A9))⨑⩅≇((⊿⫖↰⪸897)≃⫖↰⪸3210⪡⫖↰⪸1974⊝)","cot":[{"info":"↨⫖↰⪸3266=NaN","layer":3},{"info":"⇖NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸2807↳≱⫖↰⪸12BB=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A90⩁⩘⫖↰⪸44A9=⫖↰⪸16220","layer":3},{"info":"⫖↰⪸0⨽⫖↰⪸16220=⫖↰⪸-45946","layer":2},{"info":"⫖↰⪸114↳≱⫖↰⪸-45946=⫖↰⪸0","layer":1},{"info":"⊿⫖↰⪸897=⫖↰⪸-343A","layer":3},{"info":"⫖↰⪸3210⪡⫖↰⪸1974=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸-343A≃⫖↰⪸8B=⫖↰⪸-660","layer":2},{"info":"⫖↰⪸-660⊝=⫖↰⪸-660","layer":1},{"info":"⫖↰⪸0⨑⩅≇⫖↰⪸-660=⫖↰⪸0","layer":0}]}
{"id":154,"expression_no_base_symbol":"((⇖($5902$⊱⇼⊻$1301$))⩇∃⫛(⇈($3548$⪛$4194$)))≝⊿((⨂⪏⇭($1102$⫒⫫$7809$))⫃⨇($3764$⫸⇳$1567$∪⫐(↩$4477$)))","expression":"((⇖(⫖↰⪸34BA⊱⇼⊻⫖↰⪸905))⩇∃⫛(⇈(⫖↰⪸2078⪛⫖↰⪸2516)))≝⊿((⨂⪏⇭(⫖↰⪸77A⫒⫫⫖↰⪸4629))⫃⨇(⫖↰⪸2218⫸⇳⫖↰⪸AA7∪⫐(↩⫖↰⪸2711)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1118,"operation_count":12,"complexity_ratio":93.16666666666667,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5902,"base":12},"right_expr":{"type":"numeric_atoms","value":1301,"base":12}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3548,"base":12},"right_expr":{"type":"numeric_atoms","value":4194,"base":12}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1102,"base":12},"right_expr":{"type":"numeric_atoms","value":7809,"base":12}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3764,"base":12},"right_expr":{"type":"numeric_atoms","value":1567,"base":12}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4477,"base":12}}}}},"used_operators":["OKKcZfAt5B","1aApVXNlOP","tfWHHpNKUN","FyVja0WsTP","SLLxy00UIr","uFcxV4UQCh","09Ly4LVMIf","AYdpE9sXAk","6Ko8hGgeMq","7YooWSwCyH","gx7XJ7hdpj","jLgFTUHLKL"],"dependent_operators":["12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5902","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=5902, right_input=1301, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=3548","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=3548, right_input=4194, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3548","layer":3},{"info":"compute unary expreesion, input=3548, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, 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=-134","layer":1},{"info":"number node, value=1102","layer":4},{"info":"number node, value=7809","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=7809, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":2},{"info":"number node, value=3764","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=1567, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4477","layer":4},{"info":"compute unary expreesion, input=4477, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33036","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-33036, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇖(⫖↰⪸34BA⊱⇼⊻⫖↰⪸905))⩇∃⫛(⇈(⫖↰⪸2078⪛⫖↰⪸2516)))≝⊿((⨂⪏⇭(⫖↰⪸77A⫒⫫⫖↰⪸4629))⫃⨇(⫖↰⪸2218⫸⇳⫖↰⪸AA7∪⫐(↩⫖↰⪸2711)))=NaN","reverse_text":"NaN=((⇖(⫖↰⪸34BA⊱⇼⊻⫖↰⪸905))⩇∃⫛(⇈(⫖↰⪸2078⪛⫖↰⪸2516)))≝⊿((⨂⪏⇭(⫖↰⪸77A⫒⫫⫖↰⪸4629))⫃⨇(⫖↰⪸2218⫸⇳⫖↰⪸AA7∪⫐(↩⫖↰⪸2711)))","cot":[{"info":"⫖↰⪸34BA⊱⇼⊻⫖↰⪸905=⫖↰⪸302","layer":3},{"info":"⇖⫖↰⪸302=⫖↰⪸114","layer":2},{"info":"⫖↰⪸2078⪛⫖↰⪸2516=⫖↰⪸2078","layer":3},{"info":"⇈⫖↰⪸2078=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸114⩇∃⫛⫖↰⪸-313=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸77A⫒⫫⫖↰⪸4629=NaN","layer":3},{"info":"⨂⪏⇭NaN=NaN","layer":2},{"info":"⫖↰⪸2218⫸⇳⫖↰⪸AA7=⫖↰⪸0","layer":3},{"info":"↩⫖↰⪸2711=⫖↰⪸-17150","layer":3},{"info":"⫖↰⪸0∪⫐⫖↰⪸-17150=⫖↰⪸0","layer":2},{"info":"NaN⫃⨇⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸-B2≝⊿NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"((($6650$+⪬∐$1262$)⊫∞)∠⫱($2375$⨎$5134$)⇍⊗($1039$⫔⩽⩺$2224$))⨂≜(⊖($2405$⋆⋳)↢($2320$≥⨤⩑$2732$))","expression":"(((⫖↰⪸3A22+⪬∐⫖↰⪸892)⊫∞)∠⫱(⫖↰⪸145B⨎⫖↰⪸2B7A)⇍⊗(⫖↰⪸727⫔⩽⩺⫖↰⪸1354))⨂≜(⊖(⫖↰⪸1485⋆⋳)↢(⫖↰⪸1414≥⨤⩑⫖↰⪸16B8))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23287,"operation_count":11,"complexity_ratio":2117.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6650,"base":12},"right_expr":{"type":"numeric_atoms","value":1262,"base":12}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2375,"base":12},"right_expr":{"type":"numeric_atoms","value":5134,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1039,"base":12},"right_expr":{"type":"numeric_atoms","value":2224,"base":12}}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2405,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2320,"base":12},"right_expr":{"type":"numeric_atoms","value":2732,"base":12}}}}},"used_operators":["k1SHOSEABc","QvoQhV0rrE","pABnYW3G3E","2GS7woTJqF","5uvYHDjeKN","rJVOvQCfKK","i9eR4S00cU","U6pG0PXrV3","WR6HLWljOP","6MpZysEj17","gJLn6v0xnP"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","g55IO6H4Gj","D4vGDi5EA2","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tw270M8GLb","fu6greOZ01","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6650","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=6650, right_input=1262, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-19950","layer":3},{"info":"compute unary expreesion, input=-19950, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=2375","layer":4},{"info":"number node, value=5134","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=5134, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5134","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2224, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5134, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4842","layer":3},{"info":"number node, value=2320","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=2732, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4842, right_input=1234, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-7216","layer":2},{"info":"compute unary expreesion, input=-7216, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=21648","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21648, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸3A22+⪬∐⫖↰⪸892)⊫∞)∠⫱(⫖↰⪸145B⨎⫖↰⪸2B7A)⇍⊗(⫖↰⪸727⫔⩽⩺⫖↰⪸1354))⨂≜(⊖(⫖↰⪸1485⋆⋳)↢(⫖↰⪸1414≥⨤⩑⫖↰⪸16B8))=NaN","reverse_text":"NaN=(((⫖↰⪸3A22+⪬∐⫖↰⪸892)⊫∞)∠⫱(⫖↰⪸145B⨎⫖↰⪸2B7A)⇍⊗(⫖↰⪸727⫔⩽⩺⫖↰⪸1354))⨂≜(⊖(⫖↰⪸1485⋆⋳)↢(⫖↰⪸1414≥⨤⩑⫖↰⪸16B8))","cot":[{"info":"⫖↰⪸3A22+⪬∐⫖↰⪸892=⫖↰⪸-B666","layer":3},{"info":"⫖↰⪸-B666⊫∞=⫖↰⪸0","layer":2},{"info":"⫖↰⪸145B⨎⫖↰⪸2B7A=⫖↰⪸2B7A","layer":3},{"info":"⫖↰⪸727⫔⩽⩺⫖↰⪸1354=NaN","layer":3},{"info":"⫖↰⪸2B7A⇍⊗NaN=NaN","layer":2},{"info":"⫖↰⪸0∠⫱NaN=NaN","layer":1},{"info":"⫖↰⪸1485⋆⋳=⫖↰⪸-2976","layer":3},{"info":"⫖↰⪸1414≥⨤⩑⫖↰⪸16B8=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-2976↢⫖↰⪸86A=⫖↰⪸-4214","layer":2},{"info":"⊖⫖↰⪸-4214=⫖↰⪸10640","layer":1},{"info":"NaN⨂≜⫖↰⪸10640=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"($6734$⪔$3633$≓∲$3189$⊬⨰$3637$)⫲≸⪮(⨦⪝($5515$⫔⩽⩺$5714$))⩤","expression":"(⫖↰⪸3A92⪔⫖↰⪸2129≓∲⫖↰⪸1A19⊬⨰⫖↰⪸2131)⫲≸⪮(⨦⪝(⫖↰⪸3237⫔⩽⩺⫖↰⪸3382))⩤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9133,"operation_count":7,"complexity_ratio":1304.7142857142858,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":6734,"base":12},"right_expr":{"type":"numeric_atoms","value":3633,"base":12}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3189,"base":12},"right_expr":{"type":"numeric_atoms","value":3637,"base":12}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5515,"base":12},"right_expr":{"type":"numeric_atoms","value":5714,"base":12}}}}},"used_operators":["Z2TMIBDE3Q","P3lXMJvFrc","s1XTVnmDOJ","GjBEYRfMaF","s3Fd5m9Dh2","SUjycxNXIR","i9eR4S00cU"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","Tw270M8GLb","fu6greOZ01"],"result":"⫖↰⪸-3083","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6734","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=6734, right_input=3633, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3189","layer":4},{"info":"number node, value=3637","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=3637, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=16681","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=16681, 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=5283","layer":2},{"info":"number node, value=5515","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=5515, right_input=5714, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=5283, right_input=-1884, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5283","layer":1},{"info":"compute unary expreesion, input=5283, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5283","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3A92⪔⫖↰⪸2129≓∲⫖↰⪸1A19⊬⨰⫖↰⪸2131)⫲≸⪮(⨦⪝(⫖↰⪸3237⫔⩽⩺⫖↰⪸3382))⩤=⫖↰⪸-3083","reverse_text":"⫖↰⪸-3083=(⫖↰⪸3A92⪔⫖↰⪸2129≓∲⫖↰⪸1A19⊬⨰⫖↰⪸2131)⫲≸⪮(⨦⪝(⫖↰⪸3237⫔⩽⩺⫖↰⪸3382))⩤","cot":[{"info":"⫖↰⪸3A92⪔⫖↰⪸2129=⫖↰⪸316","layer":3},{"info":"⫖↰⪸1A19⊬⨰⫖↰⪸2131=⫖↰⪸97A1","layer":3},{"info":"⫖↰⪸316≓∲⫖↰⪸97A1=⫖↰⪸3083","layer":2},{"info":"⫖↰⪸3237⫔⩽⩺⫖↰⪸3382=NaN","layer":3},{"info":"⨦⪝NaN=⫖↰⪸-1110","layer":2},{"info":"⫖↰⪸3083⫲≸⪮⫖↰⪸-1110=⫖↰⪸3083","layer":1},{"info":"⫖↰⪸3083⩤=⫖↰⪸-3083","layer":0}]}
{"id":157,"expression_no_base_symbol":"⪝⪂⫅(($2841$⊴$3867$)∴($3240$∑⇟⊟$5623$)+⇶⊼($5983$⫸⊐$1532$∷$1704$↞⋁$2057$))","expression":"⪝⪂⫅((⫖↰⪸1789⊴⫖↰⪸22A3)∴(⫖↰⪸1A60∑⇟⊟⫖↰⪸3307)+⇶⊼(⫖↰⪸3567⫸⊐⫖↰⪸A78∷⫖↰⪸BA0↞⋁⫖↰⪸1235))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4088,"operation_count":8,"complexity_ratio":511.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2841,"base":12},"right_expr":{"type":"numeric_atoms","value":3867,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3240,"base":12},"right_expr":{"type":"numeric_atoms","value":5623,"base":12}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5983,"base":12},"right_expr":{"type":"numeric_atoms","value":1532,"base":12}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1704,"base":12},"right_expr":{"type":"numeric_atoms","value":2057,"base":12}}}}},"used_operators":["XTarYq4gQB","TpPTUOHfaN","hrf7POJlIJ","Nsiff2A1zJ","U7g4x0WXJJ","D3AQDKkPcf","mqXw5SEYmG","RqrPlJkxDo"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","7j4O788W3g","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2841","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=3867, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3240","layer":4},{"info":"number node, value=5623","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=5623, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"number node, value=5983","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=5983, right_input=1532, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6003","layer":3},{"info":"number node, value=1704","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=2057, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6003, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪝⪂⫅((⫖↰⪸1789⊴⫖↰⪸22A3)∴(⫖↰⪸1A60∑⇟⊟⫖↰⪸3307)+⇶⊼(⫖↰⪸3567⫸⊐⫖↰⪸A78∷⫖↰⪸BA0↞⋁⫖↰⪸1235))=NaN","reverse_text":"NaN=⪝⪂⫅((⫖↰⪸1789⊴⫖↰⪸22A3)∴(⫖↰⪸1A60∑⇟⊟⫖↰⪸3307)+⇶⊼(⫖↰⪸3567⫸⊐⫖↰⪸A78∷⫖↰⪸BA0↞⋁⫖↰⪸1235))","cot":[{"info":"⫖↰⪸1789⊴⫖↰⪸22A3=NaN","layer":3},{"info":"⫖↰⪸1A60∑⇟⊟⫖↰⪸3307=NaN","layer":3},{"info":"NaN∴NaN=NaN","layer":2},{"info":"⫖↰⪸3567⫸⊐⫖↰⪸A78=⫖↰⪸3583","layer":3},{"info":"⫖↰⪸BA0↞⋁⫖↰⪸1235=NaN","layer":3},{"info":"⫖↰⪸3583∷NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"(($1531$⊾⪯⋞$1130$)+⪬∐($7480$%$3221$)⨐⩸⫘($3333$⩼⇪↪$1627$)⩦(⇈$6358$))⩤","expression":"((⫖↰⪸A77⊾⪯⋞⫖↰⪸7A2)+⪬∐(⫖↰⪸43B4%⫖↰⪸1A45)⨐⩸⫘(⫖↰⪸1B19⩼⇪↪⫖↰⪸B37)⩦(⇈⫖↰⪸381A))⩤","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1110,"operation_count":8,"complexity_ratio":138.75,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1531,"base":12},"right_expr":{"type":"numeric_atoms","value":1130,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7480,"base":12},"right_expr":{"type":"numeric_atoms","value":3221,"base":12}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3333,"base":12},"right_expr":{"type":"numeric_atoms","value":1627,"base":12}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":6358,"base":12}}}}},"used_operators":["Z2TMIBDE3Q","fu6greOZ01","2GS7woTJqF","HK0tfVPux8","k8jYdgA6NY","0kmYd0q39Y","ocnLzx9CaJ","SLLxy00UIr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","g55IO6H4Gj","D4vGDi5EA2","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1531","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1130, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1834","layer":3},{"info":"number node, value=7480","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=7480, right_input=3221, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1038","layer":3},{"info":"compute binary expreesion, left_input=1834, right_input=1038, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5502","layer":2},{"info":"number node, value=3333","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=1627, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5506","layer":3},{"info":"number node, value=6358","layer":4},{"info":"compute unary expreesion, input=6358, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-5506, right_input=-447, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-54235","layer":2},{"info":"compute binary expreesion, left_input=-5502, right_input=-54235, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A77⊾⪯⋞⫖↰⪸7A2)+⪬∐(⫖↰⪸43B4%⫖↰⪸1A45)⨐⩸⫘(⫖↰⪸1B19⩼⇪↪⫖↰⪸B37)⩦(⇈⫖↰⪸381A))⩤=NaN","reverse_text":"NaN=((⫖↰⪸A77⊾⪯⋞⫖↰⪸7A2)+⪬∐(⫖↰⪸43B4%⫖↰⪸1A45)⨐⩸⫘(⫖↰⪸1B19⩼⇪↪⫖↰⪸B37)⩦(⇈⫖↰⪸381A))⩤","cot":[{"info":"⫖↰⪸A77⊾⪯⋞⫖↰⪸7A2=⫖↰⪸108A","layer":3},{"info":"⫖↰⪸43B4%⫖↰⪸1A45=⫖↰⪸726","layer":3},{"info":"⫖↰⪸108A+⪬∐⫖↰⪸726=⫖↰⪸-3226","layer":2},{"info":"⫖↰⪸1B19⩼⇪↪⫖↰⪸B37=⫖↰⪸-322A","layer":3},{"info":"⇈⫖↰⪸381A=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-322A⩦⫖↰⪸-313=⫖↰⪸-27477","layer":2},{"info":"⫖↰⪸-3226⨐⩸⫘⫖↰⪸-27477=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"($2554$∇⊂⋱$1238$⨪↰⇹$1333$⊮⊟↴$4341$%(⩩$1345$)⨽$4082$⨐⩸⫘$1031$)⊬⨰(($4407$⊝)⪮%⊝($2229$≠≀$1661$))⊱⇼⊻($5106$⨳⩥⨓$1819$⪄$3125$⩣⫁∢$8139$)","expression":"(⫖↰⪸158A∇⊂⋱⫖↰⪸872⨪↰⇹⫖↰⪸931⊮⊟↴⫖↰⪸2619%(⩩⫖↰⪸941)⨽⫖↰⪸2442⨐⩸⫘⫖↰⪸71B)⊬⨰((⫖↰⪸2673⊝)⪮%⊝(⫖↰⪸1359≠≀⫖↰⪸B65))⊱⇼⊻(⫖↰⪸2B56⨳⩥⨓⫖↰⪸1077⪄⫖↰⪸1985⩣⫁∢⫖↰⪸4863)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7064,"operation_count":15,"complexity_ratio":470.93333333333334,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2554,"base":12},"right_expr":{"type":"numeric_atoms","value":1238,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1333,"base":12},"right_expr":{"type":"numeric_atoms","value":4341,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1345,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4082,"base":12},"right_expr":{"type":"numeric_atoms","value":1031,"base":12}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":4407,"base":12}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2229,"base":12},"right_expr":{"type":"numeric_atoms","value":1661,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5106,"base":12},"right_expr":{"type":"numeric_atoms","value":1819,"base":12}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3125,"base":12},"right_expr":{"type":"numeric_atoms","value":8139,"base":12}}}}},"used_operators":["s3Fd5m9Dh2","k8jYdgA6NY","tmPS8pqC7x","nhYeJWJD5X","QDVgd2eftb","8HhzD0ZcuI","kMhfGuqI2H","fu6greOZ01","FyVja0WsTP","IWmyXbctLI","O6EZ0fifGK","IwW236VD4Y","SUmda5xLS4","nCS4ZIUYfx","JDUIKTTSIa"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","3ViojmjbAp","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2554","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=1238, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4562","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=4341","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=4341, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4562, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4562","layer":2},{"info":"number node, value=1345","layer":4},{"info":"compute unary expreesion, input=1345, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=4082","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=4082, right_input=1031, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4562, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4407","layer":4},{"info":"compute unary expreesion, input=4407, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=4407","layer":3},{"info":"number node, value=2229","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=1661, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4152","layer":3},{"info":"compute binary expreesion, left_input=4407, right_input=-4152, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9130","layer":2},{"info":"number node, value=5106","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=5106, right_input=1819, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3287","layer":3},{"info":"number node, value=3125","layer":4},{"info":"number node, value=8139","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=8139, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6089","layer":3},{"info":"compute binary expreesion, left_input=-3287, right_input=-6089, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=9130, right_input=3979, 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=nan, right_input=434, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸158A∇⊂⋱⫖↰⪸872⨪↰⇹⫖↰⪸931⊮⊟↴⫖↰⪸2619%(⩩⫖↰⪸941)⨽⫖↰⪸2442⨐⩸⫘⫖↰⪸71B)⊬⨰((⫖↰⪸2673⊝)⪮%⊝(⫖↰⪸1359≠≀⫖↰⪸B65))⊱⇼⊻(⫖↰⪸2B56⨳⩥⨓⫖↰⪸1077⪄⫖↰⪸1985⩣⫁∢⫖↰⪸4863)=NaN","reverse_text":"NaN=(⫖↰⪸158A∇⊂⋱⫖↰⪸872⨪↰⇹⫖↰⪸931⊮⊟↴⫖↰⪸2619%(⩩⫖↰⪸941)⨽⫖↰⪸2442⨐⩸⫘⫖↰⪸71B)⊬⨰((⫖↰⪸2673⊝)⪮%⊝(⫖↰⪸1359≠≀⫖↰⪸B65))⊱⇼⊻(⫖↰⪸2B56⨳⩥⨓⫖↰⪸1077⪄⫖↰⪸1985⩣⫁∢⫖↰⪸4863)","cot":[{"info":"⫖↰⪸158A∇⊂⋱⫖↰⪸872=⫖↰⪸2782","layer":3},{"info":"⫖↰⪸931⊮⊟↴⫖↰⪸2619=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2782⨪↰⇹⫖↰⪸0=⫖↰⪸2782","layer":2},{"info":"⩩⫖↰⪸941=NaN","layer":3},{"info":"⫖↰⪸2442⨐⩸⫘⫖↰⪸71B=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⫖↰⪸2782%NaN=NaN","layer":1},{"info":"⫖↰⪸2673⊝=⫖↰⪸2673","layer":3},{"info":"⫖↰⪸1359≠≀⫖↰⪸B65=⫖↰⪸-24A0","layer":3},{"info":"⫖↰⪸2673⪮%⊝⫖↰⪸-24A0=⫖↰⪸534A","layer":2},{"info":"⫖↰⪸2B56⨳⩥⨓⫖↰⪸1077=⫖↰⪸-1A9B","layer":3},{"info":"⫖↰⪸1985⩣⫁∢⫖↰⪸4863=⫖↰⪸-3635","layer":3},{"info":"⫖↰⪸-1A9B⪄⫖↰⪸-3635=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸534A⊱⇼⊻⫖↰⪸2377=⫖↰⪸302","layer":1},{"info":"NaN⊬⨰⫖↰⪸302=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"($1008$⫞⩸⩒$2439$⫰⋱(⊙↵-$2839$))⫉⨲⊜(⋼∭⪍($8317$⇼⇔∾$3858$))↬$5517$∊∟⩊$6533$⪒⊣⊆($7279$∘$2572$)⨫⇇↔($1919$⫲)⪒⊣⊆($1455$⫡⨏$2217$)","expression":"(⫖↰⪸700⫞⩸⩒⫖↰⪸14B3⫰⋱(⊙↵-⫖↰⪸1787))⫉⨲⊜(⋼∭⪍(⫖↰⪸4991⇼⇔∾⫖↰⪸2296))↬⫖↰⪸3239∊∟⩊⫖↰⪸3945⪒⊣⊆(⫖↰⪸4267∘⫖↰⪸15A4)⨫⇇↔(⫖↰⪸113B⫲)⪒⊣⊆(⫖↰⪸A13⫡⨏⫖↰⪸1349)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2971,"operation_count":14,"complexity_ratio":212.21428571428572,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1008,"base":12},"right_expr":{"type":"numeric_atoms","value":2439,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2839,"base":12}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8317,"base":12},"right_expr":{"type":"numeric_atoms","value":3858,"base":12}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":5517,"base":12},"right_expr":{"type":"numeric_atoms","value":6533,"base":12}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":7279,"base":12},"right_expr":{"type":"numeric_atoms","value":2572,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1919,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1455,"base":12},"right_expr":{"type":"numeric_atoms","value":2217,"base":12}}}}},"used_operators":["B5M0gjZbta","WhqkvtTD3t","6o9Blt3TJ6","XGcMNugi78","oWn0xqSxBt","DbCuESL50I","tifHPKVTfV","LXhwmt4mBO","eRqsBgTDFp","ddLRYrp01A","Z5m6OM72h2","9xnGDUPbC6","QMFrweE19q"],"dependent_operators":["rGHVDoGpnC","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","sdazOOVcIp","W4YGzv6Whe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2439, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2439","layer":3},{"info":"number node, value=2839","layer":4},{"info":"compute unary expreesion, input=2839, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2439, right_input=-1, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2406","layer":2},{"info":"number node, value=8317","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=8317, right_input=3858, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4459","layer":3},{"info":"compute unary expreesion, input=-4459, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-26652","layer":2},{"info":"compute binary expreesion, left_input=-2406, right_input=-26652, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-26762","layer":1},{"info":"number node, value=5517","layer":4},{"info":"number node, value=6533","layer":4},{"info":"compute binary expreesion, left_input=5517, right_input=6533, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6533","layer":3},{"info":"number node, value=7279","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=7279, right_input=2572, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=14558","layer":3},{"info":"compute binary expreesion, left_input=6533, right_input=14558, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=13066","layer":2},{"info":"number node, value=1919","layer":4},{"info":"compute unary expreesion, input=1919, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1646","layer":3},{"info":"number node, value=1455","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=2217, 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=12492","layer":3},{"info":"compute binary expreesion, left_input=1646, right_input=12492, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3292","layer":2},{"info":"compute binary expreesion, left_input=13066, right_input=3292, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-26762, right_input=-527, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":12,"result_base":12,"text":"(⫖↰⪸700⫞⩸⩒⫖↰⪸14B3⫰⋱(⊙↵-⫖↰⪸1787))⫉⨲⊜(⋼∭⪍(⫖↰⪸4991⇼⇔∾⫖↰⪸2296))↬⫖↰⪸3239∊∟⩊⫖↰⪸3945⪒⊣⊆(⫖↰⪸4267∘⫖↰⪸15A4)⨫⇇↔(⫖↰⪸113B⫲)⪒⊣⊆(⫖↰⪸A13⫡⨏⫖↰⪸1349)=NaN","reverse_text":"NaN=(⫖↰⪸700⫞⩸⩒⫖↰⪸14B3⫰⋱(⊙↵-⫖↰⪸1787))⫉⨲⊜(⋼∭⪍(⫖↰⪸4991⇼⇔∾⫖↰⪸2296))↬⫖↰⪸3239∊∟⩊⫖↰⪸3945⪒⊣⊆(⫖↰⪸4267∘⫖↰⪸15A4)⨫⇇↔(⫖↰⪸113B⫲)⪒⊣⊆(⫖↰⪸A13⫡⨏⫖↰⪸1349)","cot":[{"info":"⫖↰⪸700⫞⩸⩒⫖↰⪸14B3=⫖↰⪸14B3","layer":3},{"info":"⊙↵-⫖↰⪸1787=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸14B3⫰⋱⫖↰⪸-1=⫖↰⪸-1486","layer":2},{"info":"⫖↰⪸4991⇼⇔∾⫖↰⪸2296=⫖↰⪸-26B7","layer":3},{"info":"⋼∭⪍⫖↰⪸-26B7=⫖↰⪸-13510","layer":2},{"info":"⫖↰⪸-1486⫉⨲⊜⫖↰⪸-13510=⫖↰⪸-135A2","layer":1},{"info":"⫖↰⪸3239∊∟⩊⫖↰⪸3945=⫖↰⪸3945","layer":3},{"info":"⫖↰⪸4267∘⫖↰⪸15A4=⫖↰⪸8512","layer":3},{"info":"⫖↰⪸3945⪒⊣⊆⫖↰⪸8512=⫖↰⪸768A","layer":2},{"info":"⫖↰⪸113B⫲=⫖↰⪸B52","layer":3},{"info":"⫖↰⪸A13⫡⨏⫖↰⪸1349=⫖↰⪸7290","layer":3},{"info":"⫖↰⪸B52⪒⊣⊆⫖↰⪸7290=⫖↰⪸1AA4","layer":2},{"info":"⫖↰⪸768A⨫⇇↔⫖↰⪸1AA4=⫖↰⪸-37B","layer":1},{"info":"⫖↰⪸-135A2↬⫖↰⪸-37B=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"($3288$⊹∫⫚$7377$⨔≚≋($3491$⨐⩸⫘$7116$))≀⫉($6193$⫏⊷)⫉⨲⊜($5962$⪨≂$4917$)∠↢(((↪⫪⫘$1264$)⊟⇱)⇡)","expression":"(⫖↰⪸1AA0⊹∫⫚⫖↰⪸4329⨔≚≋(⫖↰⪸202B⨐⩸⫘⫖↰⪸4150))≀⫉(⫖↰⪸3701⫏⊷)⫉⨲⊜(⫖↰⪸354A⪨≂⫖↰⪸2A19)∠↢(((↪⫪⫘⫖↰⪸894)⊟⇱)⇡)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21707,"operation_count":11,"complexity_ratio":1973.3636363636363,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3288,"base":12},"right_expr":{"type":"numeric_atoms","value":7377,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3491,"base":12},"right_expr":{"type":"numeric_atoms","value":7116,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":6193,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5962,"base":12},"right_expr":{"type":"numeric_atoms","value":4917,"base":12}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1264,"base":12}}}}},"used_operators":["KbjG8mgYpV","oZj3VtZNQx","Z57zeUYC9z","uWAJUKEvyW","fu6greOZ01","WhqkvtTD3t","dcShxvzhyw","sdazOOVcIp","UqFzSgLMvQ","03sUfWo75k","9dWsAM3GFt"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","3ViojmjbAp","eewbuw0ToL","zVYPLywUTj","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","rysDP5nf3Z","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","IWmyXbctLI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3288","layer":4},{"info":"number node, value=7377","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=7377, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-192","layer":3},{"info":"number node, value=3491","layer":4},{"info":"number node, value=7116","layer":4},{"info":"compute binary expreesion, left_input=3491, right_input=7116, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-192, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=6193","layer":4},{"info":"compute unary expreesion, input=6193, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=5962","layer":4},{"info":"number node, value=4917","layer":4},{"info":"compute binary expreesion, left_input=5962, right_input=4917, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2192","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=2192, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=6819542","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6819542, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"number node, value=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=356","layer":2},{"info":"compute unary expreesion, input=356, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2917, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1AA0⊹∫⫚⫖↰⪸4329⨔≚≋(⫖↰⪸202B⨐⩸⫘⫖↰⪸4150))≀⫉(⫖↰⪸3701⫏⊷)⫉⨲⊜(⫖↰⪸354A⪨≂⫖↰⪸2A19)∠↢(((↪⫪⫘⫖↰⪸894)⊟⇱)⇡)=NaN","reverse_text":"NaN=(⫖↰⪸1AA0⊹∫⫚⫖↰⪸4329⨔≚≋(⫖↰⪸202B⨐⩸⫘⫖↰⪸4150))≀⫉(⫖↰⪸3701⫏⊷)⫉⨲⊜(⫖↰⪸354A⪨≂⫖↰⪸2A19)∠↢(((↪⫪⫘⫖↰⪸894)⊟⇱)⇡)","cot":[{"info":"⫖↰⪸1AA0⊹∫⫚⫖↰⪸4329=⫖↰⪸-140","layer":3},{"info":"⫖↰⪸202B⨐⩸⫘⫖↰⪸4150=NaN","layer":3},{"info":"⫖↰⪸-140⨔≚≋NaN=NaN","layer":2},{"info":"⫖↰⪸3701⫏⊷=⫖↰⪸-584","layer":3},{"info":"⫖↰⪸354A⪨≂⫖↰⪸2A19=⫖↰⪸1328","layer":3},{"info":"⫖↰⪸-584⫉⨲⊜⫖↰⪸1328=⫖↰⪸234A5B2","layer":2},{"info":"NaN≀⫉⫖↰⪸234A5B2=NaN","layer":1},{"info":"↪⫪⫘⫖↰⪸894=⫖↰⪸18","layer":3},{"info":"⫖↰⪸18⊟⇱=⫖↰⪸258","layer":2},{"info":"⫖↰⪸258⇡=⫖↰⪸-1831","layer":1},{"info":"NaN∠↢⫖↰⪸-1831=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"(≤/(≇⪴(⇜$6385$)))⊘","expression":"(≤/(≇⪴(⇜⫖↰⪸3841)))⊘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":354,"operation_count":4,"complexity_ratio":88.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":6385,"base":12}}}}},"used_operators":["gu96TGCTMs","eLAdDNolq6","zoVPnxeHJ3","lFBm8KRb8F"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6385","layer":4},{"info":"compute unary expreesion, input=6385, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-51488","layer":3},{"info":"compute unary expreesion, input=-51488, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-205952","layer":2},{"info":"compute unary expreesion, input=-205952, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=206436","layer":1},{"info":"compute unary expreesion, input=206436, 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":12,"result_base":12,"text":"(≤/(≇⪴(⇜⫖↰⪸3841)))⊘=⫖↰⪸0","reverse_text":"⫖↰⪸0=(≤/(≇⪴(⇜⫖↰⪸3841)))⊘","cot":[{"info":"⇜⫖↰⪸3841=⫖↰⪸-25968","layer":3},{"info":"≇⪴⫖↰⪸-25968=⫖↰⪸-9B228","layer":2},{"info":"≤/⫖↰⪸-9B228=⫖↰⪸9B570","layer":1},{"info":"⫖↰⪸9B570⊘=⫖↰⪸0","layer":0}]}
{"id":163,"expression_no_base_symbol":"(($1061$⨒$1345$)⨸($2731$∠↢$2201$)⫭)⋹","expression":"((⫖↰⪸745⨒⫖↰⪸941)⨸(⫖↰⪸16B7∠↢⫖↰⪸1335)⫭)⋹","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6220,"operation_count":5,"complexity_ratio":1244.0,"tree":{"type":"unary","operator":"⋹","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":1345,"base":12}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2731,"base":12},"right_expr":{"type":"numeric_atoms","value":2201,"base":12}}}}},"used_operators":["opAxDRczMr","t4WUHVGj7f","KmoU8R5UQR","y75s1iXyHd","KbjG8mgYpV"],"dependent_operators":["13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⫖↰⪸-18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1345, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-5994","layer":3},{"info":"number node, value=2731","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=2201, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-40656","layer":3},{"info":"compute binary expreesion, left_input=-5994, right_input=-40656, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=-3668726","layer":2},{"info":"compute unary expreesion, input=-3668726, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-11005937","layer":1},{"info":"compute unary expreesion, input=-11005937, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸745⨒⫖↰⪸941)⨸(⫖↰⪸16B7∠↢⫖↰⪸1335)⫭)⋹=⫖↰⪸-18","reverse_text":"⫖↰⪸-18=((⫖↰⪸745⨒⫖↰⪸941)⨸(⫖↰⪸16B7∠↢⫖↰⪸1335)⫭)⋹","cot":[{"info":"⫖↰⪸745⨒⫖↰⪸941=⫖↰⪸-3576","layer":3},{"info":"⫖↰⪸16B7∠↢⫖↰⪸1335=⫖↰⪸-1B640","layer":3},{"info":"⫖↰⪸-3576⨸⫖↰⪸-1B640=⫖↰⪸-128B132","layer":2},{"info":"⫖↰⪸-128B132⫭=⫖↰⪸-3829215","layer":1},{"info":"⫖↰⪸-3829215⋹=⫖↰⪸-18","layer":0}]}
{"id":164,"expression_no_base_symbol":"(-(⇨($3598$⩚⊴⇥$8146$)))⊉≛↸($2700$∛$1678$⇆⨓≜)∣$1677$⪟⇏$1318$∓⋝($5848$⋻⩜⩜$1083$)","expression":"(-(⇨(⫖↰⪸20BA⩚⊴⇥⫖↰⪸486A)))⊉≛↸(⫖↰⪸1690∛⫖↰⪸B7A⇆⨓≜)∣⫖↰⪸B79⪟⇏⫖↰⪸91A∓⋝(⫖↰⪸3474⋻⩜⩜⫖↰⪸763)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15481,"operation_count":10,"complexity_ratio":1548.1,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3598,"base":12},"right_expr":{"type":"numeric_atoms","value":8146,"base":12}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2700,"base":12},"right_expr":{"type":"numeric_atoms","value":1678,"base":12}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1677,"base":12},"right_expr":{"type":"numeric_atoms","value":1318,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5848,"base":12},"right_expr":{"type":"numeric_atoms","value":1083,"base":12}}}}},"used_operators":["DZ8iAZOCBD","t8gj7n24qd","G9tJMlZ94a","NTOWxs364D","PPChnnnBFF","KvvgdUaMHJ","w2537kitQq","PoHhknlbAi","GODebY97qR","oDCm7WA9JY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Uaa54Peajs","KYD54nUTWz","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3598","layer":4},{"info":"number node, value=8146","layer":4},{"info":"compute binary expreesion, left_input=3598, right_input=8146, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11865","layer":3},{"info":"compute unary expreesion, input=-11865, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":1},{"info":"number node, value=2700","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=1678, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=1677","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=1318, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=5848","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=1083, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=11696","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=11696, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-361","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-361, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(-(⇨(⫖↰⪸20BA⩚⊴⇥⫖↰⪸486A)))⊉≛↸(⫖↰⪸1690∛⫖↰⪸B7A⇆⨓≜)∣⫖↰⪸B79⪟⇏⫖↰⪸91A∓⋝(⫖↰⪸3474⋻⩜⩜⫖↰⪸763)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(-(⇨(⫖↰⪸20BA⩚⊴⇥⫖↰⪸486A)))⊉≛↸(⫖↰⪸1690∛⫖↰⪸B7A⇆⨓≜)∣⫖↰⪸B79⪟⇏⫖↰⪸91A∓⋝(⫖↰⪸3474⋻⩜⩜⫖↰⪸763)","cot":[{"info":"⫖↰⪸20BA⩚⊴⇥⫖↰⪸486A=⫖↰⪸-6A49","layer":3},{"info":"⇨⫖↰⪸-6A49=⫖↰⪸0","layer":2},{"info":"-⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1690∛⫖↰⪸B7A=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸-47A⇆⨓≜=NaN","layer":2},{"info":"⫖↰⪸B79⪟⇏⫖↰⪸91A=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸3474⋻⩜⩜⫖↰⪸763=⫖↰⪸6928","layer":3},{"info":"⫖↰⪸-1∓⋝⫖↰⪸6928=⫖↰⪸-261","layer":2},{"info":"NaN∣⫖↰⪸-261=NaN","layer":1},{"info":"⫖↰⪸0⊉≛↸NaN=⫖↰⪸0","layer":0}]}
{"id":165,"expression_no_base_symbol":"(((⊈$3868$)∽(≸≮$3977$))⫰⋱$4890$⨔⇊$1841$⩣⫁∢(⨵≀≌$1197$))∺≝⩲(($2031$≎⊠⪸$5095$)⨽∌($2194$⫒⫫$1044$)⩁)","expression":"(((⊈⫖↰⪸22A4)∽(≸≮⫖↰⪸2375))⫰⋱⫖↰⪸29B6⨔⇊⫖↰⪸1095⩣⫁∢(⨵≀≌⫖↰⪸839))∺≝⩲((⫖↰⪸1213≎⊠⪸⫖↰⪸2B47)⨽∌(⫖↰⪸132A⫒⫫⫖↰⪸730)⩁)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10319,"operation_count":12,"complexity_ratio":859.9166666666666,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3868,"base":12}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3977,"base":12}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4890,"base":12},"right_expr":{"type":"numeric_atoms","value":1841,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1197,"base":12}}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2031,"base":12},"right_expr":{"type":"numeric_atoms","value":5095,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2194,"base":12},"right_expr":{"type":"numeric_atoms","value":1044,"base":12}}}}},"used_operators":["KPf6cnQVty","6o9Blt3TJ6","y4ImoPnbV5","RHru8klgy8","AljMvE3RRm","JDUIKTTSIa","JclMnS0uGI","srAu1WTS94","5GqDbVmqXU","9samAPKr6k","bJkvcejdHO","6Ko8hGgeMq"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","QMFrweE19q","12rbrZMWeM","xUOZtlo3hN","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3868","layer":4},{"info":"compute unary expreesion, input=3868, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4042","layer":3},{"info":"number node, value=3977","layer":4},{"info":"compute unary expreesion, input=3977, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4042, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=4890","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=4890, right_input=1841, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1841","layer":3},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3591","layer":3},{"info":"compute binary expreesion, left_input=1841, right_input=-3591, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3521","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3521, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=2031","layer":4},{"info":"number node, value=5095","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=5095, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=525556","layer":3},{"info":"number node, value=2194","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=1044, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=525556, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":12,"result_base":12,"text":"(((⊈⫖↰⪸22A4)∽(≸≮⫖↰⪸2375))⫰⋱⫖↰⪸29B6⨔⇊⫖↰⪸1095⩣⫁∢(⨵≀≌⫖↰⪸839))∺≝⩲((⫖↰⪸1213≎⊠⪸⫖↰⪸2B47)⨽∌(⫖↰⪸132A⫒⫫⫖↰⪸730)⩁)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(((⊈⫖↰⪸22A4)∽(≸≮⫖↰⪸2375))⫰⋱⫖↰⪸29B6⨔⇊⫖↰⪸1095⩣⫁∢(⨵≀≌⫖↰⪸839))∺≝⩲((⫖↰⪸1213≎⊠⪸⫖↰⪸2B47)⨽∌(⫖↰⪸132A⫒⫫⫖↰⪸730)⩁)","cot":[{"info":"⊈⫖↰⪸22A4=⫖↰⪸-240A","layer":3},{"info":"≸≮⫖↰⪸2375=NaN","layer":3},{"info":"⫖↰⪸-240A∽NaN=NaN","layer":2},{"info":"⫖↰⪸29B6⨔⇊⫖↰⪸1095=⫖↰⪸1095","layer":3},{"info":"⨵≀≌⫖↰⪸839=⫖↰⪸-20B3","layer":3},{"info":"⫖↰⪸1095⩣⫁∢⫖↰⪸-20B3=⫖↰⪸-2055","layer":2},{"info":"NaN⫰⋱⫖↰⪸-2055=NaN","layer":1},{"info":"⫖↰⪸1213≎⊠⪸⫖↰⪸2B47=⫖↰⪸214184","layer":3},{"info":"⫖↰⪸132A⫒⫫⫖↰⪸730=NaN","layer":3},{"info":"⫖↰⪸214184⨽∌NaN=NaN","layer":2},{"info":"NaN⩁=NaN","layer":1},{"info":"NaN∺≝⩲NaN=⫖↰⪸114","layer":0}]}
{"id":166,"expression_no_base_symbol":"(↘(⋣(≤/$1305$)))⊬⨰(↡(($1017$⪍↜⋙$1356$)⋩≍≻))","expression":"(↘(⋣(≤/⫖↰⪸909)))⊬⨰(↡((⫖↰⪸709⪍↜⋙⫖↰⪸950)⋩≍≻))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":257,"operation_count":7,"complexity_ratio":36.714285714285715,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1305,"base":12}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1017,"base":12},"right_expr":{"type":"numeric_atoms","value":1356,"base":12}}}}},"used_operators":["s3Fd5m9Dh2","LdNpr8hQHL","zQWRhDnn8F","eLAdDNolq6","MXaNJeIAZ3","WYd1w68Nbz","L05ObWFQCd"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","uFcxV4UQCh","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⫖↰⪸-4A8246","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-821","layer":3},{"info":"compute unary expreesion, input=-821, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=279","layer":1},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1356, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-8580","layer":3},{"info":"compute unary expreesion, input=-8580, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-33817","layer":2},{"info":"compute unary expreesion, input=-33817, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-304353","layer":1},{"info":"compute binary expreesion, left_input=279, right_input=-304353, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-1216854","layer":0}],"base":12,"result_base":12,"text":"(↘(⋣(≤/⫖↰⪸909)))⊬⨰(↡((⫖↰⪸709⪍↜⋙⫖↰⪸950)⋩≍≻))=⫖↰⪸-4A8246","reverse_text":"⫖↰⪸-4A8246=(↘(⋣(≤/⫖↰⪸909)))⊬⨰(↡((⫖↰⪸709⪍↜⋙⫖↰⪸950)⋩≍≻))","cot":[{"info":"≤/⫖↰⪸909=⫖↰⪸-585","layer":3},{"info":"⋣⫖↰⪸-585=⫖↰⪸-95","layer":2},{"info":"↘⫖↰⪸-95=⫖↰⪸1B3","layer":1},{"info":"⫖↰⪸709⪍↜⋙⫖↰⪸950=⫖↰⪸-4B70","layer":3},{"info":"⫖↰⪸-4B70⋩≍≻=⫖↰⪸-176A1","layer":2},{"info":"↡⫖↰⪸-176A1=⫖↰⪸-128169","layer":1},{"info":"⫖↰⪸1B3⊬⨰⫖↰⪸-128169=⫖↰⪸-4A8246","layer":0}]}
{"id":167,"expression_no_base_symbol":"($1942$⨽∌$1161$≝⊰⇂)⪬(⨈⫕($3173$∛≔))⪶≀⋏(⫛⫱⨽(($4477$⫡⨏$1706$)⊉≛↸($5180$⫿)))","expression":"(⫖↰⪸115A⨽∌⫖↰⪸809≝⊰⇂)⪬(⨈⫕(⫖↰⪸1A05∛≔))⪶≀⋏(⫛⫱⨽((⫖↰⪸2711⫡⨏⫖↰⪸BA2)⊉≛↸(⫖↰⪸2BB8⫿)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22842,"operation_count":10,"complexity_ratio":2284.2,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1942,"base":12},"right_expr":{"type":"numeric_atoms","value":1161,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":3173,"base":12}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4477,"base":12},"right_expr":{"type":"numeric_atoms","value":1706,"base":12}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":5180,"base":12}}}}},"used_operators":["zR4jO40bMj","Ez1Nq5fNfI","htSmYCowi5","9samAPKr6k","megm06wKyl","mGnSCrte3L","DlLNRPXxWL","DZ8iAZOCBD","QMFrweE19q","9tKT6PmtkH"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","DlLNRPXxWL","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"⫖↰⪸-233A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1942","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=1161, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-134","layer":2},{"info":"number node, value=3173","layer":4},{"info":"compute unary expreesion, input=3173, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"compute unary expreesion, input=-inf, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-21, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=4477","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=1706, 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=26580","layer":3},{"info":"number node, value=5180","layer":4},{"info":"compute unary expreesion, input=5180, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=5180","layer":3},{"info":"compute binary expreesion, left_input=26580, right_input=5180, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=53160","layer":2},{"info":"compute unary expreesion, input=53160, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1234, 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=-3934","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸115A⨽∌⫖↰⪸809≝⊰⇂)⪬(⨈⫕(⫖↰⪸1A05∛≔))⪶≀⋏(⫛⫱⨽((⫖↰⪸2711⫡⨏⫖↰⪸BA2)⊉≛↸(⫖↰⪸2BB8⫿)))=⫖↰⪸-233A","reverse_text":"⫖↰⪸-233A=(⫖↰⪸115A⨽∌⫖↰⪸809≝⊰⇂)⪬(⨈⫕(⫖↰⪸1A05∛≔))⪶≀⋏(⫛⫱⨽((⫖↰⪸2711⫡⨏⫖↰⪸BA2)⊉≛↸(⫖↰⪸2BB8⫿)))","cot":[{"info":"⫖↰⪸115A⨽∌⫖↰⪸809=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≝⊰⇂=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸1A05∛≔=-Inf","layer":3},{"info":"⨈⫕-Inf=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸-B2⪬⫖↰⪸-19=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸2711⫡⨏⫖↰⪸BA2=⫖↰⪸13470","layer":3},{"info":"⫖↰⪸2BB8⫿=⫖↰⪸2BB8","layer":3},{"info":"⫖↰⪸13470⊉≛↸⫖↰⪸2BB8=⫖↰⪸26920","layer":2},{"info":"⫛⫱⨽⫖↰⪸26920=⫖↰⪸0","layer":1},{"info":"⫖↰⪸86A⪶≀⋏⫖↰⪸0=⫖↰⪸-233A","layer":0}]}
{"id":168,"expression_no_base_symbol":"((⫇($4467$⪍↜⋙$3452$))⩷∴(⋃$5849$↳∿⪆$1208$))⪬(((⇋⊎⋝$3454$)⩒⫫($1839$⨀⨒))∇⊂⋱($1617$⪡$3993$⪉⨛$5617$⫥∨⫟$1058$))","expression":"((⫇(⫖↰⪸2703⪍↜⋙⫖↰⪸1BB8))⩷∴(⋃⫖↰⪸3475↳∿⪆⫖↰⪸848))⪬(((⇋⊎⋝⫖↰⪸1BBA)⩒⫫(⫖↰⪸1093⨀⨒))∇⊂⋱(⫖↰⪸B29⪡⫖↰⪸2389⪉⨛⫖↰⪸3301⫥∨⫟⫖↰⪸742))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6729,"operation_count":13,"complexity_ratio":517.6153846153846,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4467,"base":12},"right_expr":{"type":"numeric_atoms","value":3452,"base":12}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5849,"base":12},"right_expr":{"type":"numeric_atoms","value":1208,"base":12}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3454,"base":12}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1839,"base":12}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1617,"base":12},"right_expr":{"type":"numeric_atoms","value":3993,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5617,"base":12},"right_expr":{"type":"numeric_atoms","value":1058,"base":12}}}}},"used_operators":["Ez1Nq5fNfI","9FxExcQeMw","YjI8oCXuph","L05ObWFQCd","3mBM5G4a3l","Cw4SuJJGHO","nhYeJWJD5X","KFSx94NKJn","CzM2PEoXns","j6NVkjMzuk","EWw2JM7wp4","oraRL2iQuh","KYD54nUTWz"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","g55IO6H4Gj","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4467","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=4467, right_input=3452, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2030","layer":3},{"info":"compute unary expreesion, input=2030, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2846","layer":2},{"info":"number node, value=5849","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=1208, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2846, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3454","layer":4},{"info":"compute unary expreesion, input=3454, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1839","layer":4},{"info":"compute unary expreesion, input=1839, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=22478","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22478, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=1617","layer":4},{"info":"number node, value=3993","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=3993, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=5617","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=5617, right_input=1058, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((⫇(⫖↰⪸2703⪍↜⋙⫖↰⪸1BB8))⩷∴(⋃⫖↰⪸3475↳∿⪆⫖↰⪸848))⪬(((⇋⊎⋝⫖↰⪸1BBA)⩒⫫(⫖↰⪸1093⨀⨒))∇⊂⋱(⫖↰⪸B29⪡⫖↰⪸2389⪉⨛⫖↰⪸3301⫥∨⫟⫖↰⪸742))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((⫇(⫖↰⪸2703⪍↜⋙⫖↰⪸1BB8))⩷∴(⋃⫖↰⪸3475↳∿⪆⫖↰⪸848))⪬(((⇋⊎⋝⫖↰⪸1BBA)⩒⫫(⫖↰⪸1093⨀⨒))∇⊂⋱(⫖↰⪸B29⪡⫖↰⪸2389⪉⨛⫖↰⪸3301⫥∨⫟⫖↰⪸742))","cot":[{"info":"⫖↰⪸2703⪍↜⋙⫖↰⪸1BB8=⫖↰⪸1212","layer":3},{"info":"⫇⫖↰⪸1212=⫖↰⪸-1792","layer":2},{"info":"⫖↰⪸3475↳∿⪆⫖↰⪸848=NaN","layer":3},{"info":"⋃NaN=NaN","layer":2},{"info":"⫖↰⪸-1792⩷∴NaN=NaN","layer":1},{"info":"⇋⊎⋝⫖↰⪸1BBA=NaN","layer":3},{"info":"⫖↰⪸1093⨀⨒=⫖↰⪸11012","layer":3},{"info":"NaN⩒⫫⫖↰⪸11012=NaN","layer":2},{"info":"⫖↰⪸B29⪡⫖↰⪸2389=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸3301⫥∨⫟⫖↰⪸742=NaN","layer":3},{"info":"⫖↰⪸8B⪉⨛NaN=NaN","layer":2},{"info":"NaN∇⊂⋱NaN=NaN","layer":1},{"info":"NaN⪬NaN=⫖↰⪸86A","layer":0}]}
{"id":169,"expression_no_base_symbol":"(($3582$⊔$3010$⪠⩆⊳)⫳≱↱($2233$↞⋁$4673$∽$2363$⪎↠$2710$))≧⫂∧($2025$⨥⫆$7564$≳⇉($1460$∕⩚$4315$))⇷($5204$⩌⋺$1664$)⇤(≱⇩⩕$2752$)","expression":"((⫖↰⪸20A6⊔⫖↰⪸18AA⪠⩆⊳)⫳≱↱(⫖↰⪸1361↞⋁⫖↰⪸2855∽⫖↰⪸144B⪎↠⫖↰⪸169A))≧⫂∧(⫖↰⪸1209⨥⫆⫖↰⪸4464≳⇉(⫖↰⪸A18∕⩚⫖↰⪸25B7))⇷(⫖↰⪸3018⩌⋺⫖↰⪸B68)⇤(≱⇩⩕⫖↰⪸1714)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":39075708,"operation_count":14,"complexity_ratio":2791122.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3582,"base":12},"right_expr":{"type":"numeric_atoms","value":3010,"base":12}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2233,"base":12},"right_expr":{"type":"numeric_atoms","value":4673,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2363,"base":12},"right_expr":{"type":"numeric_atoms","value":2710,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2025,"base":12},"right_expr":{"type":"numeric_atoms","value":7564,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1460,"base":12},"right_expr":{"type":"numeric_atoms","value":4315,"base":12}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5204,"base":12},"right_expr":{"type":"numeric_atoms","value":1664,"base":12}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2752,"base":12}}}}},"used_operators":["Ph9nP6C5qx","ZvLB05nZmT","JLbD19bQDL","E4l6HwMY31","y4ImoPnbV5","RqrPlJkxDo","3tVxb0NHM4","mp7IySMOzn","V0kx6qeWkN","yXekIHxTD4","z9ffQ9n5Zr","YSKBFp38Pu","g7Hmc5v1ko","3DZMoQKiUl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"⫖↰⪸36993","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3582","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=3010, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=19814","layer":3},{"info":"compute unary expreesion, input=19814, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=2233","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=4673, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2363","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=2710, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=2025","layer":4},{"info":"number node, value=7564","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=7564, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=15004","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=4315","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=4315, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1463","layer":3},{"info":"compute binary expreesion, left_input=15004, right_input=-1463, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=5204","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=5204, right_input=1664, 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=-6989","layer":3},{"info":"number node, value=2752","layer":4},{"info":"compute unary expreesion, input=2752, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-6989, right_input=113, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=37228","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=37228, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=74456","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=74456, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=73983","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸20A6⊔⫖↰⪸18AA⪠⩆⊳)⫳≱↱(⫖↰⪸1361↞⋁⫖↰⪸2855∽⫖↰⪸144B⪎↠⫖↰⪸169A))≧⫂∧(⫖↰⪸1209⨥⫆⫖↰⪸4464≳⇉(⫖↰⪸A18∕⩚⫖↰⪸25B7))⇷(⫖↰⪸3018⩌⋺⫖↰⪸B68)⇤(≱⇩⩕⫖↰⪸1714)=⫖↰⪸36993","reverse_text":"⫖↰⪸36993=((⫖↰⪸20A6⊔⫖↰⪸18AA⪠⩆⊳)⫳≱↱(⫖↰⪸1361↞⋁⫖↰⪸2855∽⫖↰⪸144B⪎↠⫖↰⪸169A))≧⫂∧(⫖↰⪸1209⨥⫆⫖↰⪸4464≳⇉(⫖↰⪸A18∕⩚⫖↰⪸25B7))⇷(⫖↰⪸3018⩌⋺⫖↰⪸B68)⇤(≱⇩⩕⫖↰⪸1714)","cot":[{"info":"⫖↰⪸20A6⊔⫖↰⪸18AA=⫖↰⪸B572","layer":3},{"info":"⫖↰⪸B572⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1361↞⋁⫖↰⪸2855=NaN","layer":3},{"info":"⫖↰⪸144B⪎↠⫖↰⪸169A=⫖↰⪸114","layer":3},{"info":"NaN∽⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸0⫳≱↱NaN=⫖↰⪸-150","layer":1},{"info":"⫖↰⪸1209⨥⫆⫖↰⪸4464=⫖↰⪸8824","layer":3},{"info":"⫖↰⪸A18∕⩚⫖↰⪸25B7=⫖↰⪸-A1B","layer":3},{"info":"⫖↰⪸8824≳⇉⫖↰⪸-A1B=NaN","layer":2},{"info":"⫖↰⪸3018⩌⋺⫖↰⪸B68=⫖↰⪸-4065","layer":3},{"info":"≱⇩⩕⫖↰⪸1714=⫖↰⪸95","layer":3},{"info":"⫖↰⪸-4065⇤⫖↰⪸95=⫖↰⪸19664","layer":2},{"info":"NaN⇷⫖↰⪸19664=⫖↰⪸37108","layer":1},{"info":"⫖↰⪸-150≧⫂∧⫖↰⪸37108=⫖↰⪸36993","layer":0}]}
{"id":170,"expression_no_base_symbol":"((↘($8239$∌↝$1310$))⫁⪎((⨰⫟⨤$1170$)⩅⪻⪻))⫯⪬∳((⪲⇎($2034$⨽⪊≇))⫦⪉($6582$⪇≇⋚$1635$⩹$4939$∑⇟⊟$1602$))","expression":"((↘(⫖↰⪸4927∌↝⫖↰⪸912))⫁⪎((⨰⫟⨤⫖↰⪸816)⩅⪻⪻))⫯⪬∳((⪲⇎(⫖↰⪸1216⨽⪊≇))⫦⪉(⫖↰⪸3986⪇≇⋚⫖↰⪸B43⩹⫖↰⪸2A37∑⇟⊟⫖↰⪸B16))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3988,"operation_count":12,"complexity_ratio":332.3333333333333,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":8239,"base":12},"right_expr":{"type":"numeric_atoms","value":1310,"base":12}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1170,"base":12}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":2034,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6582,"base":12},"right_expr":{"type":"numeric_atoms","value":1635,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4939,"base":12},"right_expr":{"type":"numeric_atoms","value":1602,"base":12}}}}},"used_operators":["d7ASUq0ydm","xRrnTEsQ6j","LdNpr8hQHL","9Isq31Ruls","kHoXpA7yos","Tw270M8GLb","wscyQdcy20","XPYlsWDdGa","nlCqmYiOvY","2Wsdkap16l","3sJ7IOPOlU","U7g4x0WXJJ"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","uFcxV4UQCh","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⫖↰⪸6774","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8239","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=8239, right_input=1310, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":2},{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3979","layer":1},{"info":"number node, value=2034","layer":4},{"info":"compute unary expreesion, input=2034, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=3542","layer":3},{"info":"compute unary expreesion, input=3542, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7084","layer":2},{"info":"number node, value=6582","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=6582, right_input=1635, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4939","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=1602, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7084, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9268","layer":1},{"info":"compute binary expreesion, left_input=-3979, right_input=-9268, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=11464","layer":0}],"base":12,"result_base":12,"text":"((↘(⫖↰⪸4927∌↝⫖↰⪸912))⫁⪎((⨰⫟⨤⫖↰⪸816)⩅⪻⪻))⫯⪬∳((⪲⇎(⫖↰⪸1216⨽⪊≇))⫦⪉(⫖↰⪸3986⪇≇⋚⫖↰⪸B43⩹⫖↰⪸2A37∑⇟⊟⫖↰⪸B16))=⫖↰⪸6774","reverse_text":"⫖↰⪸6774=((↘(⫖↰⪸4927∌↝⫖↰⪸912))⫁⪎((⨰⫟⨤⫖↰⪸816)⩅⪻⪻))⫯⪬∳((⪲⇎(⫖↰⪸1216⨽⪊≇))⫦⪉(⫖↰⪸3986⪇≇⋚⫖↰⪸B43⩹⫖↰⪸2A37∑⇟⊟⫖↰⪸B16))","cot":[{"info":"⫖↰⪸4927∌↝⫖↰⪸912=⫖↰⪸0","layer":3},{"info":"↘⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⨰⫟⨤⫖↰⪸816=NaN","layer":3},{"info":"NaN⩅⪻⪻=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸0⫁⪎⫖↰⪸2377=⫖↰⪸-2377","layer":1},{"info":"⫖↰⪸1216⨽⪊≇=⫖↰⪸2072","layer":3},{"info":"⪲⇎⫖↰⪸2072=⫖↰⪸4124","layer":2},{"info":"⫖↰⪸3986⪇≇⋚⫖↰⪸B43=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2A37∑⇟⊟⫖↰⪸B16=NaN","layer":3},{"info":"⫖↰⪸0⩹NaN=NaN","layer":2},{"info":"⫖↰⪸4124⫦⪉NaN=⫖↰⪸-5444","layer":1},{"info":"⫖↰⪸-2377⫯⪬∳⫖↰⪸-5444=⫖↰⪸6774","layer":0}]}
{"id":171,"expression_no_base_symbol":"((↣≠⋷$1190$)⪨⊡($4273$≀⩗∶$1286$)⫸⊐($1123$⨒$3221$⩨$1415$⨸$2580$))⊉↱≁(($1789$↓$2622$⇽⩪)≠≀($1800$⫒⫫$4748$)⨿($1692$⊹∫⫚$2577$))","expression":"((↣≠⋷⫖↰⪸832)⪨⊡(⫖↰⪸2581≀⩗∶⫖↰⪸8B2)⫸⊐(⫖↰⪸797⨒⫖↰⪸1A45⩨⫖↰⪸99B⨸⫖↰⪸15B0))⊉↱≁((⫖↰⪸1051↓⫖↰⪸1626⇽⩪)≠≀(⫖↰⪸1060⫒⫫⫖↰⪸28B8)⨿(⫖↰⪸B90⊹∫⫚⫖↰⪸15A9))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38927,"operation_count":14,"complexity_ratio":2780.5,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1190,"base":12}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4273,"base":12},"right_expr":{"type":"numeric_atoms","value":1286,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1123,"base":12},"right_expr":{"type":"numeric_atoms","value":3221,"base":12}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1415,"base":12},"right_expr":{"type":"numeric_atoms","value":2580,"base":12}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1789,"base":12},"right_expr":{"type":"numeric_atoms","value":2622,"base":12}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1800,"base":12},"right_expr":{"type":"numeric_atoms","value":4748,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1692,"base":12},"right_expr":{"type":"numeric_atoms","value":2577,"base":12}}}}},"used_operators":["w2P8NbNXyL","mqXw5SEYmG","kuIXHzHcAH","Asc51vEJeQ","8INZBEW696","2DlMacCsIx","y75s1iXyHd","KmoU8R5UQR","IwW236VD4Y","FonBHBYJbU","Af076pWI7l","abYXlopdE0","6Ko8hGgeMq","uWAJUKEvyW"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⫖↰⪸-A56","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4273","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=4273, right_input=1286, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"number node, value=1123","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=3221, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6366","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=2580, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2830","layer":3},{"info":"compute binary expreesion, left_input=-6366, right_input=2830, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=3, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-113","layer":1},{"info":"number node, value=1789","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=2622, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-242","layer":2},{"info":"number node, value=1800","layer":4},{"info":"number node, value=4748","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=4748, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1692","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=2577, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-384","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-384, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-242, right_input=67, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=54","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=54, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-1506","layer":0}],"base":12,"result_base":12,"text":"((↣≠⋷⫖↰⪸832)⪨⊡(⫖↰⪸2581≀⩗∶⫖↰⪸8B2)⫸⊐(⫖↰⪸797⨒⫖↰⪸1A45⩨⫖↰⪸99B⨸⫖↰⪸15B0))⊉↱≁((⫖↰⪸1051↓⫖↰⪸1626⇽⩪)≠≀(⫖↰⪸1060⫒⫫⫖↰⪸28B8)⨿(⫖↰⪸B90⊹∫⫚⫖↰⪸15A9))=⫖↰⪸-A56","reverse_text":"⫖↰⪸-A56=((↣≠⋷⫖↰⪸832)⪨⊡(⫖↰⪸2581≀⩗∶⫖↰⪸8B2)⫸⊐(⫖↰⪸797⨒⫖↰⪸1A45⩨⫖↰⪸99B⨸⫖↰⪸15B0))⊉↱≁((⫖↰⪸1051↓⫖↰⪸1626⇽⩪)≠≀(⫖↰⪸1060⫒⫫⫖↰⪸28B8)⨿(⫖↰⪸B90⊹∫⫚⫖↰⪸15A9))","cot":[{"info":"↣≠⋷⫖↰⪸832=NaN","layer":3},{"info":"⫖↰⪸2581≀⩗∶⫖↰⪸8B2=⫖↰⪸0","layer":3},{"info":"NaN⪨⊡⫖↰⪸0=⫖↰⪸559","layer":2},{"info":"⫖↰⪸797⨒⫖↰⪸1A45=⫖↰⪸-3826","layer":3},{"info":"⫖↰⪸99B⨸⫖↰⪸15B0=⫖↰⪸177A","layer":3},{"info":"⫖↰⪸-3826⩨⫖↰⪸177A=⫖↰⪸3","layer":2},{"info":"⫖↰⪸559⫸⊐⫖↰⪸3=⫖↰⪸-95","layer":1},{"info":"⫖↰⪸1051↓⫖↰⪸1626=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸-B2⇽⩪=⫖↰⪸-182","layer":2},{"info":"⫖↰⪸1060⫒⫫⫖↰⪸28B8=NaN","layer":3},{"info":"⫖↰⪸B90⊹∫⫚⫖↰⪸15A9=⫖↰⪸-280","layer":3},{"info":"NaN⨿⫖↰⪸-280=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-182≠≀⫖↰⪸57=⫖↰⪸46","layer":1},{"info":"⫖↰⪸-95⊉↱≁⫖↰⪸46=⫖↰⪸-A56","layer":0}]}
{"id":172,"expression_no_base_symbol":"(($3823$⨥⫆$3034$)∴(⇵⪽$5316$)⫲≸⪮($1172$⨪↰⇹$6424$)∣($5160$⊔$7932$))⊋(($5701$≧⫂∧$3136$∕⩚$4327$→⨶⪴$2499$)⨐⩸⫘(⋎⨆$1126$⨚⇆$2041$))","expression":"((⫖↰⪸2267⨥⫆⫖↰⪸190A)∴(⇵⪽⫖↰⪸30B0)⫲≸⪮(⫖↰⪸818⨪↰⇹⫖↰⪸3874)∣(⫖↰⪸2BA0⊔⫖↰⪸4710))⊋((⫖↰⪸3371≧⫂∧⫖↰⪸1994∕⩚⫖↰⪸2607→⨶⪴⫖↰⪸1543)⨐⩸⫘(⋎⨆⫖↰⪸79A⨚⇆⫖↰⪸1221))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22961,"operation_count":14,"complexity_ratio":1640.0714285714287,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3823,"base":12},"right_expr":{"type":"numeric_atoms","value":3034,"base":12}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":5316,"base":12}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1172,"base":12},"right_expr":{"type":"numeric_atoms","value":6424,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5160,"base":12},"right_expr":{"type":"numeric_atoms","value":7932,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5701,"base":12},"right_expr":{"type":"numeric_atoms","value":3136,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4327,"base":12},"right_expr":{"type":"numeric_atoms","value":2499,"base":12}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1126,"base":12},"right_expr":{"type":"numeric_atoms","value":2041,"base":12}}}}},"used_operators":["W4tP9CfskL","P3lXMJvFrc","hrf7POJlIJ","yXekIHxTD4","ZGCBLdVRRX","PPChnnnBFF","tmPS8pqC7x","E4l6HwMY31","fu6greOZ01","z9ffQ9n5Zr","Ph9nP6C5qx","bF6eod5Gvf","E64sFOc4tB","lwHaAYXP2r"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","U7g4x0WXJJ","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","3ViojmjbAp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3823","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=3034, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5944","layer":3},{"info":"number node, value=5316","layer":4},{"info":"compute unary expreesion, input=5316, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5944, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=13536","layer":2},{"info":"number node, value=1172","layer":4},{"info":"number node, value=6424","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=6424, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1172","layer":3},{"info":"number node, value=5160","layer":4},{"info":"number node, value=7932","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=7932, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=47580","layer":3},{"info":"compute binary expreesion, left_input=1172, right_input=47580, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1172","layer":2},{"info":"compute binary expreesion, left_input=13536, right_input=1172, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=13536","layer":1},{"info":"number node, value=5701","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=5701, right_input=3136, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2663","layer":3},{"info":"number node, value=4327","layer":4},{"info":"number node, value=2499","layer":4},{"info":"compute binary expreesion, left_input=4327, right_input=2499, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7497","layer":3},{"info":"compute binary expreesion, left_input=2663, right_input=-7497, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2041, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=8320752, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=13536, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2267⨥⫆⫖↰⪸190A)∴(⇵⪽⫖↰⪸30B0)⫲≸⪮(⫖↰⪸818⨪↰⇹⫖↰⪸3874)∣(⫖↰⪸2BA0⊔⫖↰⪸4710))⊋((⫖↰⪸3371≧⫂∧⫖↰⪸1994∕⩚⫖↰⪸2607→⨶⪴⫖↰⪸1543)⨐⩸⫘(⋎⨆⫖↰⪸79A⨚⇆⫖↰⪸1221))=NaN","reverse_text":"NaN=((⫖↰⪸2267⨥⫆⫖↰⪸190A)∴(⇵⪽⫖↰⪸30B0)⫲≸⪮(⫖↰⪸818⨪↰⇹⫖↰⪸3874)∣(⫖↰⪸2BA0⊔⫖↰⪸4710))⊋((⫖↰⪸3371≧⫂∧⫖↰⪸1994∕⩚⫖↰⪸2607→⨶⪴⫖↰⪸1543)⨐⩸⫘(⋎⨆⫖↰⪸79A⨚⇆⫖↰⪸1221))","cot":[{"info":"⫖↰⪸2267⨥⫆⫖↰⪸190A=⫖↰⪸3534","layer":3},{"info":"⇵⪽⫖↰⪸30B0=NaN","layer":3},{"info":"⫖↰⪸3534∴NaN=⫖↰⪸7A00","layer":2},{"info":"⫖↰⪸818⨪↰⇹⫖↰⪸3874=⫖↰⪸818","layer":3},{"info":"⫖↰⪸2BA0⊔⫖↰⪸4710=⫖↰⪸23650","layer":3},{"info":"⫖↰⪸818∣⫖↰⪸23650=⫖↰⪸818","layer":2},{"info":"⫖↰⪸7A00⫲≸⪮⫖↰⪸818=⫖↰⪸7A00","layer":1},{"info":"⫖↰⪸3371≧⫂∧⫖↰⪸1994=⫖↰⪸165B","layer":3},{"info":"⫖↰⪸2607→⨶⪴⫖↰⪸1543=⫖↰⪸-4409","layer":3},{"info":"⫖↰⪸165B∕⩚⫖↰⪸-4409=⫖↰⪸-347","layer":2},{"info":"⫖↰⪸79A⨚⇆⫖↰⪸1221=NaN","layer":3},{"info":"⋎⨆NaN=⫖↰⪸2953300","layer":2},{"info":"⫖↰⪸-347⨐⩸⫘⫖↰⪸2953300=NaN","layer":1},{"info":"⫖↰⪸7A00⊋NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"⊿(($7480$⫃⨇$1053$)⨫⇇↔($3392$⪠⩆⊳))≴⪞⇿(($7762$∲⫓$1384$)↸($5866$-$1156$))","expression":"⊿((⫖↰⪸43B4⫃⨇⫖↰⪸739)⨫⇇↔(⫖↰⪸1B68⪠⩆⊳))≴⪞⇿((⫖↰⪸45AA∲⫓⫖↰⪸974)↸(⫖↰⪸348A-⫖↰⪸804))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":97,"operation_count":8,"complexity_ratio":12.125,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7480,"base":12},"right_expr":{"type":"numeric_atoms","value":1053,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3392,"base":12}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7762,"base":12},"right_expr":{"type":"numeric_atoms","value":1384,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5866,"base":12},"right_expr":{"type":"numeric_atoms","value":1156,"base":12}}}}},"used_operators":["DO4fhlbJSI","lvlrscuwVU","LXhwmt4mBO","09Ly4LVMIf","JLbD19bQDL","1eCjFl0mb9","i8ToyICDmI","rysDP5nf3Z"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸46086","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7480","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=7480, right_input=1053, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4244","layer":3},{"info":"number node, value=3392","layer":4},{"info":"compute unary expreesion, input=3392, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4244, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=7762","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=7762, right_input=1384, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5866","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=5866, right_input=1156, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4710","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4710, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-23007","layer":1},{"info":"compute unary expreesion, input=-23007, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=93414","layer":0}],"base":12,"result_base":12,"text":"⊿((⫖↰⪸43B4⫃⨇⫖↰⪸739)⨫⇇↔(⫖↰⪸1B68⪠⩆⊳))≴⪞⇿((⫖↰⪸45AA∲⫓⫖↰⪸974)↸(⫖↰⪸348A-⫖↰⪸804))=⫖↰⪸46086","reverse_text":"⫖↰⪸46086=⊿((⫖↰⪸43B4⫃⨇⫖↰⪸739)⨫⇇↔(⫖↰⪸1B68⪠⩆⊳))≴⪞⇿((⫖↰⪸45AA∲⫓⫖↰⪸974)↸(⫖↰⪸348A-⫖↰⪸804))","cot":[{"info":"⫖↰⪸43B4⫃⨇⫖↰⪸739=⫖↰⪸-2558","layer":3},{"info":"⫖↰⪸1B68⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-2558⨫⇇↔⫖↰⪸0=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸45AA∲⫓⫖↰⪸974=⫖↰⪸0","layer":3},{"info":"⫖↰⪸348A-⫖↰⪸804=⫖↰⪸2886","layer":3},{"info":"⫖↰⪸0↸⫖↰⪸2886=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-37B≴⪞⇿⫖↰⪸0=⫖↰⪸-11393","layer":1},{"info":"⊿⫖↰⪸-11393=⫖↰⪸46086","layer":0}]}
{"id":174,"expression_no_base_symbol":"($2379$∠⫱$4312$≓∲$2594$⩼⇪↪$7054$)⫯⪬∳((∂⩏⊆$4030$)⊵↤)≧⫂∧($6859$⇣⩺⋵$6138$)⨐$2887$⨑⩅≇$1906$⇍⊗(≛$5123$⇮⋭$1656$)","expression":"(⫖↰⪸1463∠⫱⫖↰⪸25B4≓∲⫖↰⪸1602⩼⇪↪⫖↰⪸40BA)⫯⪬∳((∂⩏⊆⫖↰⪸23BA)⊵↤)≧⫂∧(⫖↰⪸3B77⇣⩺⋵⫖↰⪸3676)⨐⫖↰⪸1807⨑⩅≇⫖↰⪸112A⇍⊗(≛⫖↰⪸2B6B⇮⋭⫖↰⪸B60)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2647,"operation_count":13,"complexity_ratio":203.6153846153846,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2379,"base":12},"right_expr":{"type":"numeric_atoms","value":4312,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2594,"base":12},"right_expr":{"type":"numeric_atoms","value":7054,"base":12}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4030,"base":12}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6859,"base":12},"right_expr":{"type":"numeric_atoms","value":6138,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2887,"base":12},"right_expr":{"type":"numeric_atoms","value":1906,"base":12}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5123,"base":12},"right_expr":{"type":"numeric_atoms","value":1656,"base":12}}}}},"used_operators":["Ph9nP6C5qx","d7ASUq0ydm","s1XTVnmDOJ","QvoQhV0rrE","ocnLzx9CaJ","7IPrd9c3lf","8WDwsbhb0R","5uvYHDjeKN","Noe24qw2ks","F4yD0voBRQ","h92wMvzauj","W7eaUhjymW","vkpjKywKVM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","14qkJME0vr","eLAdDNolq6","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⫖↰⪸21650B3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2379","layer":4},{"info":"number node, value=4312","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=4312, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=7054","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=7054, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-44973","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-44973, 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=1285189","layer":2},{"info":"number node, value=4030","layer":4},{"info":"compute unary expreesion, input=4030, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-12169","layer":3},{"info":"compute unary expreesion, input=-12169, 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=72231","layer":2},{"info":"compute binary expreesion, left_input=1285189, right_input=72231, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6353747","layer":1},{"info":"number node, value=6859","layer":4},{"info":"number node, value=6138","layer":4},{"info":"compute binary expreesion, left_input=6859, right_input=6138, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2887","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=1906, 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=-8661","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-8661, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=520","layer":2},{"info":"number node, value=5123","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=5123, right_input=1656, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = 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=-1183","layer":2},{"info":"compute binary expreesion, left_input=520, right_input=-1183, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=6353747, right_input=-244, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6353991","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1463∠⫱⫖↰⪸25B4≓∲⫖↰⪸1602⩼⇪↪⫖↰⪸40BA)⫯⪬∳((∂⩏⊆⫖↰⪸23BA)⊵↤)≧⫂∧(⫖↰⪸3B77⇣⩺⋵⫖↰⪸3676)⨐⫖↰⪸1807⨑⩅≇⫖↰⪸112A⇍⊗(≛⫖↰⪸2B6B⇮⋭⫖↰⪸B60)=⫖↰⪸21650B3","reverse_text":"⫖↰⪸21650B3=(⫖↰⪸1463∠⫱⫖↰⪸25B4≓∲⫖↰⪸1602⩼⇪↪⫖↰⪸40BA)⫯⪬∳((∂⩏⊆⫖↰⪸23BA)⊵↤)≧⫂∧(⫖↰⪸3B77⇣⩺⋵⫖↰⪸3676)⨐⫖↰⪸1807⨑⩅≇⫖↰⪸112A⇍⊗(≛⫖↰⪸2B6B⇮⋭⫖↰⪸B60)","cot":[{"info":"⫖↰⪸1463∠⫱⫖↰⪸25B4=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1602⩼⇪↪⫖↰⪸40BA=⫖↰⪸-22039","layer":3},{"info":"⫖↰⪸86A≓∲⫖↰⪸-22039=⫖↰⪸51B8B1","layer":2},{"info":"∂⩏⊆⫖↰⪸23BA=⫖↰⪸-7061","layer":3},{"info":"⫖↰⪸-7061⊵↤=⫖↰⪸35973","layer":2},{"info":"⫖↰⪸51B8B1⫯⪬∳⫖↰⪸35973=⫖↰⪸2164B2B","layer":1},{"info":"⫖↰⪸3B77⇣⩺⋵⫖↰⪸3676=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸1807⨑⩅≇⫖↰⪸112A=⫖↰⪸-5019","layer":3},{"info":"⫖↰⪸-198⨐⫖↰⪸-5019=⫖↰⪸374","layer":2},{"info":"⫖↰⪸2B6B⇮⋭⫖↰⪸B60=⫖↰⪸-335","layer":3},{"info":"≛⫖↰⪸-335=⫖↰⪸-827","layer":2},{"info":"⫖↰⪸374⇍⊗⫖↰⪸-827=⫖↰⪸-184","layer":1},{"info":"⫖↰⪸2164B2B≧⫂∧⫖↰⪸-184=⫖↰⪸21650B3","layer":0}]}
{"id":175,"expression_no_base_symbol":"($1088$⊭↱$1075$)⩦($1047$⪎↠$3185$)⫰⋱$1369$⇴$2843$⪭≯$2891$⇌⫙⪟$1577$⪛⫼((⪭⩑⪱$3531$)⫍⨯↯)∣(($2148$⨰$4856$)⊢)","expression":"(⫖↰⪸768⊭↱⫖↰⪸757)⩦(⫖↰⪸733⪎↠⫖↰⪸1A15)⫰⋱⫖↰⪸961⇴⫖↰⪸178B⪭≯⫖↰⪸180B⇌⫙⪟⫖↰⪸AB5⪛⫼((⪭⩑⪱⫖↰⪸2063)⫍⨯↯)∣((⫖↰⪸12B0⨰⫖↰⪸2988)⊢)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":571762,"operation_count":13,"complexity_ratio":43981.692307692305,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1088,"base":12},"right_expr":{"type":"numeric_atoms","value":1075,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1047,"base":12},"right_expr":{"type":"numeric_atoms","value":3185,"base":12}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1369,"base":12},"right_expr":{"type":"numeric_atoms","value":2843,"base":12}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2891,"base":12},"right_expr":{"type":"numeric_atoms","value":1577,"base":12}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3531,"base":12}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2148,"base":12},"right_expr":{"type":"numeric_atoms","value":4856,"base":12}}}}},"used_operators":["hyuBjUqXlG","6o9Blt3TJ6","0kmYd0q39Y","COABgblf1C","3tVxb0NHM4","XAx5wpdLa6","4JB6nKBMSY","AFVx7xoS7T","PPChnnnBFF","ZcwmYACASQ","SIgE0bArFf","40aOVDgCDB","eewbuw0ToL"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","NTOWxs364D","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1075, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-21","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=3185, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=160, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-42","layer":2},{"info":"number node, value=1369","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=2843, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=13514","layer":3},{"info":"number node, value=2891","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=1577, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=13514, right_input=113, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-42, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=3531","layer":4},{"info":"compute unary expreesion, input=3531, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=8320719","layer":2},{"info":"number node, value=2148","layer":4},{"info":"number node, value=4856","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=4856, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2698","layer":3},{"info":"compute unary expreesion, input=-2698, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2698","layer":2},{"info":"compute binary expreesion, left_input=8320719, right_input=-2698, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-8319762","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8319762, 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":12,"result_base":12,"text":"(⫖↰⪸768⊭↱⫖↰⪸757)⩦(⫖↰⪸733⪎↠⫖↰⪸1A15)⫰⋱⫖↰⪸961⇴⫖↰⪸178B⪭≯⫖↰⪸180B⇌⫙⪟⫖↰⪸AB5⪛⫼((⪭⩑⪱⫖↰⪸2063)⫍⨯↯)∣((⫖↰⪸12B0⨰⫖↰⪸2988)⊢)=NaN","reverse_text":"NaN=(⫖↰⪸768⊭↱⫖↰⪸757)⩦(⫖↰⪸733⪎↠⫖↰⪸1A15)⫰⋱⫖↰⪸961⇴⫖↰⪸178B⪭≯⫖↰⪸180B⇌⫙⪟⫖↰⪸AB5⪛⫼((⪭⩑⪱⫖↰⪸2063)⫍⨯↯)∣((⫖↰⪸12B0⨰⫖↰⪸2988)⊢)","cot":[{"info":"⫖↰⪸768⊭↱⫖↰⪸757=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸733⪎↠⫖↰⪸1A15=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-19⩦⫖↰⪸114=⫖↰⪸-36","layer":2},{"info":"⫖↰⪸961⇴⫖↰⪸178B=⫖↰⪸79A2","layer":3},{"info":"⫖↰⪸180B⇌⫙⪟⫖↰⪸AB5=⫖↰⪸95","layer":3},{"info":"⫖↰⪸79A2⪭≯⫖↰⪸95=NaN","layer":2},{"info":"⫖↰⪸-36⫰⋱NaN=NaN","layer":1},{"info":"⪭⩑⪱⫖↰⪸2063=⫖↰⪸2953300","layer":3},{"info":"⫖↰⪸2953300⫍⨯↯=⫖↰⪸2953293","layer":2},{"info":"⫖↰⪸12B0⨰⫖↰⪸2988=⫖↰⪸-168A","layer":3},{"info":"⫖↰⪸-168A⊢=⫖↰⪸-168A","layer":2},{"info":"⫖↰⪸2953293∣⫖↰⪸-168A=⫖↰⪸-2952816","layer":1},{"info":"NaN⪛⫼⫖↰⪸-2952816=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"($5619$⋹⋡⊁$2109$⇡)⋛((⩏⊷≩$5545$)/$6826$⊬⨰$1080$)⇴((∤↝$5144$)⪶≀⋏$1625$⩼⇪↪$1986$⩺⪪(∓⪦(↨⩢⫨$1108$)))","expression":"(⫖↰⪸3303⋹⋡⊁⫖↰⪸1279⇡)⋛((⩏⊷≩⫖↰⪸3261)/⫖↰⪸3B4A⊬⨰⫖↰⪸760)⇴((∤↝⫖↰⪸2B88)⪶≀⋏⫖↰⪸B35⩼⇪↪⫖↰⪸1196⩺⪪(∓⪦(↨⩢⫨⫖↰⪸784)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63154,"operation_count":13,"complexity_ratio":4858.0,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5619,"base":12},"right_expr":{"type":"numeric_atoms","value":2109,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":5545,"base":12}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6826,"base":12},"right_expr":{"type":"numeric_atoms","value":1080,"base":12}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":5144,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1625,"base":12},"right_expr":{"type":"numeric_atoms","value":1986,"base":12}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1108,"base":12}}}}},"used_operators":["4JB6nKBMSY","YbUVn0Rbpy","UqFzSgLMvQ","As8RqfVLgs","XhwjNDsVaA","uOZ1tnYMDE","s3Fd5m9Dh2","uvdQJvN4PV","zR4jO40bMj","3UMq87Qwqg","ocnLzx9CaJ","D309nIvmXG","Z5CJsN7DuW"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"⫖↰⪸-3782A8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5619","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=5619, right_input=2109, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2859","layer":3},{"info":"compute unary expreesion, input=2859, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"number node, value=5545","layer":4},{"info":"compute unary expreesion, input=5545, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=10789","layer":3},{"info":"number node, value=6826","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=6826, right_input=1080, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10090","layer":3},{"info":"compute binary expreesion, left_input=10789, right_input=10090, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=-2917, right_input=1, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-133791","layer":1},{"info":"number node, value=5144","layer":4},{"info":"compute unary expreesion, input=5144, 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=5144","layer":3},{"info":"number node, value=1625","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=1986, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-11435","layer":3},{"info":"compute binary expreesion, left_input=5144, right_input=-11435, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=1036","layer":2},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2119","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=-2119, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-51378","layer":1},{"info":"compute binary expreesion, left_input=-133791, right_input=-51378, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-905888","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3303⋹⋡⊁⫖↰⪸1279⇡)⋛((⩏⊷≩⫖↰⪸3261)/⫖↰⪸3B4A⊬⨰⫖↰⪸760)⇴((∤↝⫖↰⪸2B88)⪶≀⋏⫖↰⪸B35⩼⇪↪⫖↰⪸1196⩺⪪(∓⪦(↨⩢⫨⫖↰⪸784)))=⫖↰⪸-3782A8","reverse_text":"⫖↰⪸-3782A8=(⫖↰⪸3303⋹⋡⊁⫖↰⪸1279⇡)⋛((⩏⊷≩⫖↰⪸3261)/⫖↰⪸3B4A⊬⨰⫖↰⪸760)⇴((∤↝⫖↰⪸2B88)⪶≀⋏⫖↰⪸B35⩼⇪↪⫖↰⪸1196⩺⪪(∓⪦(↨⩢⫨⫖↰⪸784)))","cot":[{"info":"⫖↰⪸3303⋹⋡⊁⫖↰⪸1279=⫖↰⪸17A3","layer":3},{"info":"⫖↰⪸17A3⇡=⫖↰⪸-1831","layer":2},{"info":"⩏⊷≩⫖↰⪸3261=⫖↰⪸62B1","layer":3},{"info":"⫖↰⪸3B4A⊬⨰⫖↰⪸760=⫖↰⪸5A0A","layer":3},{"info":"⫖↰⪸62B1/⫖↰⪸5A0A=⫖↰⪸1","layer":2},{"info":"⫖↰⪸-1831⋛⫖↰⪸1=⫖↰⪸-65513","layer":1},{"info":"∤↝⫖↰⪸2B88=⫖↰⪸2B88","layer":3},{"info":"⫖↰⪸B35⩼⇪↪⫖↰⪸1196=⫖↰⪸-674B","layer":3},{"info":"⫖↰⪸2B88⪶≀⋏⫖↰⪸-674B=⫖↰⪸724","layer":2},{"info":"↨⩢⫨⫖↰⪸784=⫖↰⪸0","layer":3},{"info":"∓⪦⫖↰⪸0=⫖↰⪸-1287","layer":2},{"info":"⫖↰⪸724⩺⪪⫖↰⪸-1287=⫖↰⪸-25896","layer":1},{"info":"⫖↰⪸-65513⇴⫖↰⪸-25896=⫖↰⪸-3782A8","layer":0}]}
{"id":177,"expression_no_base_symbol":"(($1601$⋥⋵⩄$1875$)∊∟⩊($1854$∳⫺$5534$)⫏⊷)⇴∐($1835$∳⫺$3491$⇌⫙⪟(≔$1020$))≁↽≥(($3465$⫰⋱$5641$)⊋≦⊧$2159$⊱⇼⊻$1998$)","expression":"((⫖↰⪸B15⋥⋵⩄⫖↰⪸1103)∊∟⩊(⫖↰⪸10A6∳⫺⫖↰⪸3252)⫏⊷)⇴∐(⫖↰⪸108B∳⫺⫖↰⪸202B⇌⫙⪟(≔⫖↰⪸710))≁↽≥((⫖↰⪸2009⫰⋱⫖↰⪸3321)⊋≦⊧⫖↰⪸12BB⊱⇼⊻⫖↰⪸11A6)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11199,"operation_count":12,"complexity_ratio":933.25,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1601,"base":12},"right_expr":{"type":"numeric_atoms","value":1875,"base":12}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1854,"base":12},"right_expr":{"type":"numeric_atoms","value":5534,"base":12}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1835,"base":12},"right_expr":{"type":"numeric_atoms","value":3491,"base":12}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1020,"base":12}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3465,"base":12},"right_expr":{"type":"numeric_atoms","value":5641,"base":12}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2159,"base":12},"right_expr":{"type":"numeric_atoms","value":1998,"base":12}}}}},"used_operators":["HnzytWxmAO","dcShxvzhyw","ddLRYrp01A","7t3wd0Fuz7","AzXXKTstlj","ncHt1X6cMc","AFVx7xoS7T","8FLs4eVsLt","oRDoc9rAEX","6o9Blt3TJ6","FyVja0WsTP"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","oWn0xqSxBt","3Oe9XWJUTD","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⫖↰⪸-98","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1601","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=1875, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1854","layer":4},{"info":"number node, value=5534","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=5534, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3590","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-3590, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-3590","layer":2},{"info":"compute unary expreesion, input=-3590, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":1},{"info":"number node, value=1835","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=3491, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-27266","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-27266, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=136886","layer":2},{"info":"number node, value=3465","layer":4},{"info":"number node, value=5641","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=5641, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3432","layer":3},{"info":"number node, value=2159","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=1998, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-3432, right_input=434, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=136886, right_input=192, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=1788978","layer":1},{"info":"compute binary expreesion, left_input=-818, right_input=1788978, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B15⋥⋵⩄⫖↰⪸1103)∊∟⩊(⫖↰⪸10A6∳⫺⫖↰⪸3252)⫏⊷)⇴∐(⫖↰⪸108B∳⫺⫖↰⪸202B⇌⫙⪟(≔⫖↰⪸710))≁↽≥((⫖↰⪸2009⫰⋱⫖↰⪸3321)⊋≦⊧⫖↰⪸12BB⊱⇼⊻⫖↰⪸11A6)=⫖↰⪸-98","reverse_text":"⫖↰⪸-98=((⫖↰⪸B15⋥⋵⩄⫖↰⪸1103)∊∟⩊(⫖↰⪸10A6∳⫺⫖↰⪸3252)⫏⊷)⇴∐(⫖↰⪸108B∳⫺⫖↰⪸202B⇌⫙⪟(≔⫖↰⪸710))≁↽≥((⫖↰⪸2009⫰⋱⫖↰⪸3321)⊋≦⊧⫖↰⪸12BB⊱⇼⊻⫖↰⪸11A6)","cot":[{"info":"⫖↰⪸B15⋥⋵⩄⫖↰⪸1103=⫖↰⪸95","layer":3},{"info":"⫖↰⪸10A6∳⫺⫖↰⪸3252=⫖↰⪸-20B2","layer":3},{"info":"⫖↰⪸95∊∟⩊⫖↰⪸-20B2=⫖↰⪸-20B2","layer":2},{"info":"⫖↰⪸-20B2⫏⊷=⫖↰⪸-582","layer":1},{"info":"⫖↰⪸108B∳⫺⫖↰⪸202B=⫖↰⪸-198","layer":3},{"info":"≔⫖↰⪸710=⫖↰⪸-13942","layer":3},{"info":"⫖↰⪸-198⇌⫙⪟⫖↰⪸-13942=⫖↰⪸67272","layer":2},{"info":"⫖↰⪸2009⫰⋱⫖↰⪸3321=⫖↰⪸-1BA0","layer":3},{"info":"⫖↰⪸12BB⊱⇼⊻⫖↰⪸11A6=⫖↰⪸302","layer":3},{"info":"⫖↰⪸-1BA0⊋≦⊧⫖↰⪸302=⫖↰⪸140","layer":2},{"info":"⫖↰⪸67272≁↽≥⫖↰⪸140=⫖↰⪸723356","layer":1},{"info":"⫖↰⪸-582⇴∐⫖↰⪸723356=⫖↰⪸-98","layer":0}]}
{"id":178,"expression_no_base_symbol":"(($5586$≧⫂∧$2535$)⊢)∋($2726$⪥$7156$≀⫉$7165$⪒⊣⊆$2473$)↳∿⪆((↥≼⋛$2737$)≁(↨$2326$)⇴($1026$⪬$6478$⊋≦⊧($1078$⫥∨⫟$3305$)))","expression":"((⫖↰⪸3296≧⫂∧⫖↰⪸1573)⊢)∋(⫖↰⪸16B2⪥⫖↰⪸4184≀⫉⫖↰⪸4191⪒⊣⊆⫖↰⪸1521)↳∿⪆((↥≼⋛⫖↰⪸1701)≁(↨⫖↰⪸141A)⇴(⫖↰⪸716⪬⫖↰⪸38BA⊋≦⊧(⫖↰⪸75A⫥∨⫟⫖↰⪸1AB5)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3625,"operation_count":14,"complexity_ratio":258.92857142857144,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5586,"base":12},"right_expr":{"type":"numeric_atoms","value":2535,"base":12}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2726,"base":12},"right_expr":{"type":"numeric_atoms","value":7156,"base":12}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":7165,"base":12},"right_expr":{"type":"numeric_atoms","value":2473,"base":12}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2737,"base":12}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2326,"base":12}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1026,"base":12},"right_expr":{"type":"numeric_atoms","value":6478,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1078,"base":12},"right_expr":{"type":"numeric_atoms","value":3305,"base":12}}}}},"used_operators":["Cw4SuJJGHO","ukq6epAj5P","40aOVDgCDB","Ph9nP6C5qx","oZj3VtZNQx","QbnwKVWMIQ","eRqsBgTDFp","4JB6nKBMSY","8N2wDY1A35","x5lMkHmzsq","jiX4gk2v2Q","oRDoc9rAEX","Ez1Nq5fNfI","KYD54nUTWz"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","W4YGzv6Whe","sdazOOVcIp","NTOWxs364D","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rGHVDoGpnC","oZj3VtZNQx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5586","layer":4},{"info":"number node, value=2535","layer":4},{"info":"compute binary expreesion, left_input=5586, right_input=2535, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2062","layer":3},{"info":"compute unary expreesion, input=2062, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2309","layer":2},{"info":"number node, value=2726","layer":4},{"info":"number node, value=7156","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=7156, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15556","layer":3},{"info":"number node, value=7165","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=7165, right_input=2473, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=14330","layer":3},{"info":"compute binary expreesion, left_input=15556, right_input=14330, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-2309, right_input=2822, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5673444","layer":1},{"info":"number node, value=2737","layer":4},{"info":"compute unary expreesion, input=2737, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=2326","layer":4},{"info":"compute unary expreesion, input=2326, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=6478","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=6478, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=3305, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5673444, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3296≧⫂∧⫖↰⪸1573)⊢)∋(⫖↰⪸16B2⪥⫖↰⪸4184≀⫉⫖↰⪸4191⪒⊣⊆⫖↰⪸1521)↳∿⪆((↥≼⋛⫖↰⪸1701)≁(↨⫖↰⪸141A)⇴(⫖↰⪸716⪬⫖↰⪸38BA⊋≦⊧(⫖↰⪸75A⫥∨⫟⫖↰⪸1AB5)))=NaN","reverse_text":"NaN=((⫖↰⪸3296≧⫂∧⫖↰⪸1573)⊢)∋(⫖↰⪸16B2⪥⫖↰⪸4184≀⫉⫖↰⪸4191⪒⊣⊆⫖↰⪸1521)↳∿⪆((↥≼⋛⫖↰⪸1701)≁(↨⫖↰⪸141A)⇴(⫖↰⪸716⪬⫖↰⪸38BA⊋≦⊧(⫖↰⪸75A⫥∨⫟⫖↰⪸1AB5)))","cot":[{"info":"⫖↰⪸3296≧⫂∧⫖↰⪸1573=⫖↰⪸123A","layer":3},{"info":"⫖↰⪸123A⊢=⫖↰⪸-1405","layer":2},{"info":"⫖↰⪸16B2⪥⫖↰⪸4184=⫖↰⪸9004","layer":3},{"info":"⫖↰⪸4191⪒⊣⊆⫖↰⪸1521=⫖↰⪸8362","layer":3},{"info":"⫖↰⪸9004≀⫉⫖↰⪸8362=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸-1405∋⫖↰⪸1772=⫖↰⪸1A972B0","layer":1},{"info":"↥≼⋛⫖↰⪸1701=⫖↰⪸-95","layer":3},{"info":"↨⫖↰⪸141A=NaN","layer":3},{"info":"⫖↰⪸-95≁NaN=NaN","layer":2},{"info":"⫖↰⪸716⪬⫖↰⪸38BA=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸75A⫥∨⫟⫖↰⪸1AB5=NaN","layer":3},{"info":"⫖↰⪸86A⊋≦⊧NaN=NaN","layer":2},{"info":"NaN⇴NaN=NaN","layer":1},{"info":"⫖↰⪸1A972B0↳∿⪆NaN=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"(∤(⫵↿($7436$⨰$6161$)))↢(⇨(($2387$⫰⋱$1001$)⪇≇⋚($1519$⪬∳)))","expression":"(∤(⫵↿(⫖↰⪸4378⨰⫖↰⪸3695)))↢(⇨((⫖↰⪸146B⫰⋱⫖↰⪸6B5)⪇≇⋚(⫖↰⪸A67⪬∳)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4778,"operation_count":8,"complexity_ratio":597.25,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7436,"base":12},"right_expr":{"type":"numeric_atoms","value":6161,"base":12}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2387,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1519,"base":12}}}}},"used_operators":["WR6HLWljOP","k2HlF1dBQh","ivGwdmUAux","eewbuw0ToL","G9tJMlZ94a","3sJ7IOPOlU","6o9Blt3TJ6","O9U3z1385E"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"⫖↰⪸-344","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7436","layer":4},{"info":"number node, value=6161","layer":4},{"info":"compute binary expreesion, left_input=7436, right_input=6161, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1285","layer":3},{"info":"compute unary expreesion, input=1285, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute unary expreesion, input=137, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=2387","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=1001, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2354","layer":3},{"info":"number node, value=1519","layer":4},{"info":"compute unary expreesion, input=1519, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=-2354, right_input=-709, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9, 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":12,"result_base":12,"text":"(∤(⫵↿(⫖↰⪸4378⨰⫖↰⪸3695)))↢(⇨((⫖↰⪸146B⫰⋱⫖↰⪸6B5)⪇≇⋚(⫖↰⪸A67⪬∳)))=⫖↰⪸-344","reverse_text":"⫖↰⪸-344=(∤(⫵↿(⫖↰⪸4378⨰⫖↰⪸3695)))↢(⇨((⫖↰⪸146B⫰⋱⫖↰⪸6B5)⪇≇⋚(⫖↰⪸A67⪬∳)))","cot":[{"info":"⫖↰⪸4378⨰⫖↰⪸3695=⫖↰⪸8B1","layer":3},{"info":"⫵↿⫖↰⪸8B1=⫖↰⪸B5","layer":2},{"info":"∤⫖↰⪸B5=⫖↰⪸9","layer":1},{"info":"⫖↰⪸146B⫰⋱⫖↰⪸6B5=⫖↰⪸-1442","layer":3},{"info":"⫖↰⪸A67⪬∳=⫖↰⪸-4B1","layer":3},{"info":"⫖↰⪸-1442⪇≇⋚⫖↰⪸-4B1=⫖↰⪸0","layer":2},{"info":"⇨⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸9↢NaN=⫖↰⪸-344","layer":0}]}
{"id":180,"expression_no_base_symbol":"((⨭⩧⫛(⇾⩊⇾$4519$))↼⊘⨖$2184$⫉⨲⊜$5888$⨟⋌⩍(↪⫪⫘$6069$))⊢(∟⋨(($1991$-$3952$)⪍↜⋙(≦∁$2292$)))","expression":"((⨭⩧⫛(⇾⩊⇾⫖↰⪸2747))↼⊘⨖⫖↰⪸1320⫉⨲⊜⫖↰⪸34A8⨟⋌⩍(↪⫪⫘⫖↰⪸3619))⊢(∟⋨((⫖↰⪸119B-⫖↰⪸2354)⪍↜⋙(≦∁⫖↰⪸13B0)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5816,"operation_count":11,"complexity_ratio":528.7272727272727,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4519,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2184,"base":12},"right_expr":{"type":"numeric_atoms","value":5888,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":6069,"base":12}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1991,"base":12},"right_expr":{"type":"numeric_atoms","value":3952,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2292,"base":12}}}}},"used_operators":["5twsqlHp2o","bPywburJMS","g21JL6JxX7","bx9Z9DAK5y","rGHVDoGpnC","WhqkvtTD3t","9dWsAM3GFt","ctOc4cKSDt","L05ObWFQCd","rysDP5nf3Z","9ICcGScMcE"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","Tcnh7f0tEr","eewbuw0ToL","zVYPLywUTj","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸148","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4519","layer":4},{"info":"compute unary expreesion, input=4519, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-47157","layer":3},{"info":"compute unary expreesion, input=-47157, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=2184","layer":4},{"info":"number node, value=5888","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=5888, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=6069","layer":4},{"info":"compute unary expreesion, input=6069, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":1},{"info":"number node, value=1991","layer":4},{"info":"number node, value=3952","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=3952, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1961","layer":3},{"info":"number node, value=2292","layer":4},{"info":"compute unary expreesion, input=2292, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2292","layer":3},{"info":"compute binary expreesion, left_input=-1961, right_input=2292, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4438","layer":2},{"info":"compute unary expreesion, input=4438, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3954","layer":1},{"info":"compute binary expreesion, left_input=-222, right_input=-3954, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=200","layer":0}],"base":12,"result_base":12,"text":"((⨭⩧⫛(⇾⩊⇾⫖↰⪸2747))↼⊘⨖⫖↰⪸1320⫉⨲⊜⫖↰⪸34A8⨟⋌⩍(↪⫪⫘⫖↰⪸3619))⊢(∟⋨((⫖↰⪸119B-⫖↰⪸2354)⪍↜⋙(≦∁⫖↰⪸13B0)))=⫖↰⪸148","reverse_text":"⫖↰⪸148=((⨭⩧⫛(⇾⩊⇾⫖↰⪸2747))↼⊘⨖⫖↰⪸1320⫉⨲⊜⫖↰⪸34A8⨟⋌⩍(↪⫪⫘⫖↰⪸3619))⊢(∟⋨((⫖↰⪸119B-⫖↰⪸2354)⪍↜⋙(≦∁⫖↰⪸13B0)))","cot":[{"info":"⇾⩊⇾⫖↰⪸2747=⫖↰⪸-23359","layer":3},{"info":"⨭⩧⫛⫖↰⪸-23359=NaN","layer":2},{"info":"⫖↰⪸1320⫉⨲⊜⫖↰⪸34A8=⫖↰⪸0","layer":3},{"info":"↪⫪⫘⫖↰⪸3619=⫖↰⪸18","layer":3},{"info":"⫖↰⪸0⨟⋌⩍⫖↰⪸18=⫖↰⪸0","layer":2},{"info":"NaN↼⊘⨖⫖↰⪸0=⫖↰⪸-166","layer":1},{"info":"⫖↰⪸119B-⫖↰⪸2354=⫖↰⪸-1175","layer":3},{"info":"≦∁⫖↰⪸13B0=⫖↰⪸13B0","layer":3},{"info":"⫖↰⪸-1175⪍↜⋙⫖↰⪸13B0=⫖↰⪸269A","layer":2},{"info":"∟⋨⫖↰⪸269A=⫖↰⪸-2356","layer":1},{"info":"⫖↰⪸-166⊢⫖↰⪸-2356=⫖↰⪸148","layer":0}]}
{"id":181,"expression_no_base_symbol":"⋠∜($3512$⊲⩕⊾$4295$∖$7415$⫸⊐$4691$)≁↽≥($5562$⨭⪣$3019$⫸⊐$1207$⩺⪪$4394$)","expression":"⋠∜(⫖↰⪸2048⊲⩕⊾⫖↰⪸259B∖⫖↰⪸435B⫸⊐⫖↰⪸286B)≁↽≥(⫖↰⪸3276⨭⪣⫖↰⪸18B7⫸⊐⫖↰⪸847⩺⪪⫖↰⪸2662)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5696,"operation_count":8,"complexity_ratio":712.0,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3512,"base":12},"right_expr":{"type":"numeric_atoms","value":4295,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7415,"base":12},"right_expr":{"type":"numeric_atoms","value":4691,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5562,"base":12},"right_expr":{"type":"numeric_atoms","value":3019,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1207,"base":12},"right_expr":{"type":"numeric_atoms","value":4394,"base":12}}}}},"used_operators":["ZJpFhNJr3x","ncHt1X6cMc","tXD093vOjl","DmTXOeWf9t","mqXw5SEYmG","kn8WO9XteQ","uvdQJvN4PV"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⫖↰⪸1938","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3512","layer":4},{"info":"number node, value=4295","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=4295, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-95772","layer":3},{"info":"number node, value=7415","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=7415, right_input=4691, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18639","layer":3},{"info":"compute binary expreesion, left_input=-95772, right_input=18639, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=5562","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=5562, right_input=3019, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4283","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=4394","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=4394, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=4283, right_input=-1818, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-3765","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3765, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"compute unary expreesion, input=196, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=3068","layer":0}],"base":12,"result_base":12,"text":"⋠∜(⫖↰⪸2048⊲⩕⊾⫖↰⪸259B∖⫖↰⪸435B⫸⊐⫖↰⪸286B)≁↽≥(⫖↰⪸3276⨭⪣⫖↰⪸18B7⫸⊐⫖↰⪸847⩺⪪⫖↰⪸2662)=⫖↰⪸1938","reverse_text":"⫖↰⪸1938=⋠∜(⫖↰⪸2048⊲⩕⊾⫖↰⪸259B∖⫖↰⪸435B⫸⊐⫖↰⪸286B)≁↽≥(⫖↰⪸3276⨭⪣⫖↰⪸18B7⫸⊐⫖↰⪸847⩺⪪⫖↰⪸2662)","cot":[{"info":"⫖↰⪸2048⊲⩕⊾⫖↰⪸259B=⫖↰⪸-47510","layer":3},{"info":"⫖↰⪸435B⫸⊐⫖↰⪸286B=⫖↰⪸A953","layer":3},{"info":"⫖↰⪸-47510∖⫖↰⪸A953=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3276⨭⪣⫖↰⪸18B7=⫖↰⪸258B","layer":3},{"info":"⫖↰⪸847⩺⪪⫖↰⪸2662=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸258B⫸⊐⫖↰⪸-1076=⫖↰⪸-2219","layer":2},{"info":"⫖↰⪸0≁↽≥⫖↰⪸-2219=⫖↰⪸144","layer":1},{"info":"⋠∜⫖↰⪸144=⫖↰⪸1938","layer":0}]}
{"id":182,"expression_no_base_symbol":"($1455$*$2890$)⩒⫫$3188$⫞⩸⩒$2705$⊨(↡($6132$≠≀$1126$))↙($1284$⋕⪉⪜$2862$+$6963$⩣⫁∢$1026$)≀⫉(⩷(⪸$1697$))","expression":"(⫖↰⪸A13*⫖↰⪸180A)⩒⫫⫖↰⪸1A18⫞⩸⩒⫖↰⪸1695⊨(↡(⫖↰⪸3670≠≀⫖↰⪸79A))↙(⫖↰⪸8B0⋕⪉⪜⫖↰⪸17A6+⫖↰⪸4043⩣⫁∢⫖↰⪸716)≀⫉(⩷(⪸⫖↰⪸B95))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4613,"operation_count":13,"complexity_ratio":354.84615384615387,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1455,"base":12},"right_expr":{"type":"numeric_atoms","value":2890,"base":12}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3188,"base":12},"right_expr":{"type":"numeric_atoms","value":2705,"base":12}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6132,"base":12},"right_expr":{"type":"numeric_atoms","value":1126,"base":12}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1284,"base":12},"right_expr":{"type":"numeric_atoms","value":2862,"base":12}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6963,"base":12},"right_expr":{"type":"numeric_atoms","value":1026,"base":12}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1697,"base":12}}}}},"used_operators":["yyfyN0ffXY","vg4gO5BX6G","KFSx94NKJn","9HNa5Wba9A","XGcMNugi78","MXaNJeIAZ3","IwW236VD4Y","oZj3VtZNQx","W4YGzv6Whe","z6LnFrNh4i","JDUIKTTSIa","1h0rLqGiFr","86A5ENbKR9"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"⫖↰⪸-4A96","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1455","layer":4},{"info":"number node, value=2890","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=2890, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4204950","layer":3},{"info":"number node, value=3188","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=2705, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2705","layer":3},{"info":"compute binary expreesion, left_input=4204950, right_input=2705, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4204648","layer":2},{"info":"number node, value=6132","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=6132, right_input=1126, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11958","layer":3},{"info":"compute unary expreesion, input=-11958, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-107622","layer":2},{"info":"compute binary expreesion, left_input=4204648, right_input=-107622, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=16819623","layer":1},{"info":"number node, value=1284","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=2862, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=6963","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=6963, right_input=1026, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13765","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=-13765, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-13561","layer":2},{"info":"number node, value=1697","layer":4},{"info":"compute unary expreesion, input=1697, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-28640","layer":3},{"info":"compute unary expreesion, input=-28640, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=343601","layer":2},{"info":"compute binary expreesion, left_input=-13561, right_input=343601, 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=16819623, right_input=2822, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8466","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A13*⫖↰⪸180A)⩒⫫⫖↰⪸1A18⫞⩸⩒⫖↰⪸1695⊨(↡(⫖↰⪸3670≠≀⫖↰⪸79A))↙(⫖↰⪸8B0⋕⪉⪜⫖↰⪸17A6+⫖↰⪸4043⩣⫁∢⫖↰⪸716)≀⫉(⩷(⪸⫖↰⪸B95))=⫖↰⪸-4A96","reverse_text":"⫖↰⪸-4A96=(⫖↰⪸A13*⫖↰⪸180A)⩒⫫⫖↰⪸1A18⫞⩸⩒⫖↰⪸1695⊨(↡(⫖↰⪸3670≠≀⫖↰⪸79A))↙(⫖↰⪸8B0⋕⪉⪜⫖↰⪸17A6+⫖↰⪸4043⩣⫁∢⫖↰⪸716)≀⫉(⩷(⪸⫖↰⪸B95))","cot":[{"info":"⫖↰⪸A13*⫖↰⪸180A=⫖↰⪸14A9506","layer":3},{"info":"⫖↰⪸1A18⫞⩸⩒⫖↰⪸1695=⫖↰⪸1695","layer":3},{"info":"⫖↰⪸14A9506⩒⫫⫖↰⪸1695=⫖↰⪸14A92B4","layer":2},{"info":"⫖↰⪸3670≠≀⫖↰⪸79A=⫖↰⪸-6B06","layer":3},{"info":"↡⫖↰⪸-6B06=⫖↰⪸-52346","layer":2},{"info":"⫖↰⪸14A92B4⊨⫖↰⪸-52346=⫖↰⪸57716B3","layer":1},{"info":"⫖↰⪸8B0⋕⪉⪜⫖↰⪸17A6=⫖↰⪸150","layer":3},{"info":"⫖↰⪸4043⩣⫁∢⫖↰⪸716=⫖↰⪸-7B71","layer":3},{"info":"⫖↰⪸150+⫖↰⪸-7B71=⫖↰⪸-7A21","layer":2},{"info":"⪸⫖↰⪸B95=⫖↰⪸-146A8","layer":3},{"info":"⩷⫖↰⪸-146A8=⫖↰⪸146A15","layer":2},{"info":"⫖↰⪸-7A21≀⫉⫖↰⪸146A15=⫖↰⪸1772","layer":1},{"info":"⫖↰⪸57716B3↙⫖↰⪸1772=⫖↰⪸-4A96","layer":0}]}
{"id":183,"expression_no_base_symbol":"($4454$⩨$1041$)⨼⩣($1844$⇴∐$3097$)⩘((⊈$3149$)⪔($1054$⨲∙))⪃↞⩐","expression":"(⫖↰⪸26B2⩨⫖↰⪸729)⨼⩣(⫖↰⪸1098⇴∐⫖↰⪸1961)⩘((⊈⫖↰⪸19A5)⪔(⫖↰⪸73A⨲∙))⪃↞⩐","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1268,"operation_count":8,"complexity_ratio":158.5,"tree":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4454,"base":12},"right_expr":{"type":"numeric_atoms","value":1041,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1844,"base":12},"right_expr":{"type":"numeric_atoms","value":3097,"base":12}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3149,"base":12}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1054,"base":12}}}}},"used_operators":["grXIztHqDa","cHh1gJQ2o6","JxwMv5le6e","2DlMacCsIx","HnzytWxmAO","GjBEYRfMaF","RHru8klgy8","cRahaglYVE"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","12rbrZMWeM","xUOZtlo3hN","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"⫖↰⪸896","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=1041, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1844","layer":4},{"info":"number node, value=3097","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=3097, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=3149","layer":4},{"info":"compute unary expreesion, input=3149, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3323","layer":3},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=12449854","layer":3},{"info":"compute binary expreesion, left_input=-3323, right_input=12449854, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = 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 = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=1266","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸26B2⩨⫖↰⪸729)⨼⩣(⫖↰⪸1098⇴∐⫖↰⪸1961)⩘((⊈⫖↰⪸19A5)⪔(⫖↰⪸73A⨲∙))⪃↞⩐=⫖↰⪸896","reverse_text":"⫖↰⪸896=(⫖↰⪸26B2⩨⫖↰⪸729)⨼⩣(⫖↰⪸1098⇴∐⫖↰⪸1961)⩘((⊈⫖↰⪸19A5)⪔(⫖↰⪸73A⨲∙))⪃↞⩐","cot":[{"info":"⫖↰⪸26B2⩨⫖↰⪸729=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1098⇴∐⫖↰⪸1961=NaN","layer":3},{"info":"⫖↰⪸0⨼⩣NaN=NaN","layer":2},{"info":"⊈⫖↰⪸19A5=⫖↰⪸-1B0B","layer":3},{"info":"⫖↰⪸73A⨲∙=⫖↰⪸420493A","layer":3},{"info":"⫖↰⪸-1B0B⪔⫖↰⪸420493A=⫖↰⪸316","layer":2},{"info":"NaN⩘⫖↰⪸316=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114⪃↞⩐=⫖↰⪸896","layer":0}]}
{"id":184,"expression_no_base_symbol":"($4313$⫔⩽⩺$1208$)⫁⪎($1676$⋥≓≎$5284$)⨚⇆$2211$⨔⇊$2893$≠≀($1308$⪭≯$3993$)↬⩅∪","expression":"(⫖↰⪸25B5⫔⩽⩺⫖↰⪸848)⫁⪎(⫖↰⪸B78⋥≓≎⫖↰⪸3084)⨚⇆⫖↰⪸1343⨔⇊⫖↰⪸1811≠≀(⫖↰⪸910⪭≯⫖↰⪸2389)↬⩅∪","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":281,"operation_count":8,"complexity_ratio":35.125,"tree":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4313,"base":12},"right_expr":{"type":"numeric_atoms","value":1208,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1676,"base":12},"right_expr":{"type":"numeric_atoms","value":5284,"base":12}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2211,"base":12},"right_expr":{"type":"numeric_atoms","value":2893,"base":12}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1308,"base":12},"right_expr":{"type":"numeric_atoms","value":3993,"base":12}}}}},"used_operators":["VJ330n2nnx","lwHaAYXP2r","xRrnTEsQ6j","i9eR4S00cU","Qy55tPpLXF","IwW236VD4Y","JclMnS0uGI","XAx5wpdLa6"],"dependent_operators":["D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4313","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=1208, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1676","layer":4},{"info":"number node, value=5284","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=5284, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8925","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8925, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"number node, value=2211","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=2893, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2893","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=3993","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=3993, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2893, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5480, 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 = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸25B5⫔⩽⩺⫖↰⪸848)⫁⪎(⫖↰⪸B78⋥≓≎⫖↰⪸3084)⨚⇆⫖↰⪸1343⨔⇊⫖↰⪸1811≠≀(⫖↰⪸910⪭≯⫖↰⪸2389)↬⩅∪=NaN","reverse_text":"NaN=(⫖↰⪸25B5⫔⩽⩺⫖↰⪸848)⫁⪎(⫖↰⪸B78⋥≓≎⫖↰⪸3084)⨚⇆⫖↰⪸1343⨔⇊⫖↰⪸1811≠≀(⫖↰⪸910⪭≯⫖↰⪸2389)↬⩅∪","cot":[{"info":"⫖↰⪸25B5⫔⩽⩺⫖↰⪸848=NaN","layer":3},{"info":"⫖↰⪸B78⋥≓≎⫖↰⪸3084=⫖↰⪸51B9","layer":3},{"info":"NaN⫁⪎⫖↰⪸51B9=NaN","layer":2},{"info":"⫖↰⪸1343⨔⇊⫖↰⪸1811=⫖↰⪸1811","layer":3},{"info":"⫖↰⪸910⪭≯⫖↰⪸2389=NaN","layer":3},{"info":"⫖↰⪸1811≠≀NaN=⫖↰⪸-3208","layer":2},{"info":"NaN⨚⇆⫖↰⪸-3208=NaN","layer":1},{"info":"NaN↬⩅∪=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"($1121$⫁⪎$1920$⊔$2186$⊴$2568$↸$5740$∳⫺$2723$⊝⪿⪼(⨵≀≌$3828$))⩁","expression":"(⫖↰⪸795⫁⪎⫖↰⪸1140⊔⫖↰⪸1322⊴⫖↰⪸15A0↸⫖↰⪸33A4∳⫺⫖↰⪸16AB⊝⪿⪼(⨵≀≌⫖↰⪸2270))⩁","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2712,"operation_count":8,"complexity_ratio":339.0,"tree":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1121,"base":12},"right_expr":{"type":"numeric_atoms","value":1920,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2186,"base":12},"right_expr":{"type":"numeric_atoms","value":2568,"base":12}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5740,"base":12},"right_expr":{"type":"numeric_atoms","value":2723,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3828,"base":12}}}}},"used_operators":["5GqDbVmqXU","1eCjFl0mb9","E4l6HwMY31","xRrnTEsQ6j","Nsiff2A1zJ","3Oe9XWJUTD","AzXXKTstlj","srAu1WTS94"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1121","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1920, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-799","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=2568","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=2568, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-799, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=5740","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=5740, right_input=2723, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3828","layer":4},{"info":"compute unary expreesion, input=3828, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11484","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-11484, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=29432","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29432, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸795⫁⪎⫖↰⪸1140⊔⫖↰⪸1322⊴⫖↰⪸15A0↸⫖↰⪸33A4∳⫺⫖↰⪸16AB⊝⪿⪼(⨵≀≌⫖↰⪸2270))⩁=NaN","reverse_text":"NaN=(⫖↰⪸795⫁⪎⫖↰⪸1140⊔⫖↰⪸1322⊴⫖↰⪸15A0↸⫖↰⪸33A4∳⫺⫖↰⪸16AB⊝⪿⪼(⨵≀≌⫖↰⪸2270))⩁","cot":[{"info":"⫖↰⪸795⫁⪎⫖↰⪸1140=⫖↰⪸-567","layer":3},{"info":"⫖↰⪸1322⊴⫖↰⪸15A0=NaN","layer":3},{"info":"⫖↰⪸-567⊔NaN=NaN","layer":2},{"info":"⫖↰⪸33A4∳⫺⫖↰⪸16AB=⫖↰⪸-198","layer":3},{"info":"⨵≀≌⫖↰⪸2270=⫖↰⪸-6790","layer":3},{"info":"⫖↰⪸-198⊝⪿⪼⫖↰⪸-6790=⫖↰⪸15048","layer":2},{"info":"NaN↸⫖↰⪸15048=NaN","layer":1},{"info":"NaN⩁=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"(∷≠($4044$⇌⫙⪟$3054$)≝⊿(⩷⨜⫀$5175$))+⇶⊼((⊑$2375$)⊍⩺⋍$3066$≄⊠$2509$⪁($4211$∐⫣)⪭≯($5386$⫸⊐$1197$))","expression":"(∷≠(⫖↰⪸2410⇌⫙⪟⫖↰⪸1926)≝⊿(⩷⨜⫀⫖↰⪸2BB3))+⇶⊼((⊑⫖↰⪸145B)⊍⩺⋍⫖↰⪸1936≄⊠⫖↰⪸1551⪁(⫖↰⪸252B∐⫣)⪭≯(⫖↰⪸314A⫸⊐⫖↰⪸839))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":966,"operation_count":12,"complexity_ratio":80.5,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4044,"base":12},"right_expr":{"type":"numeric_atoms","value":3054,"base":12}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":5175,"base":12}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2375,"base":12}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3066,"base":12},"right_expr":{"type":"numeric_atoms","value":2509,"base":12}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":4211,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5386,"base":12},"right_expr":{"type":"numeric_atoms","value":1197,"base":12}}}}},"used_operators":["TpPTUOHfaN","QiR2Oyf5Xj","OKKcZfAt5B","AFVx7xoS7T","CDi0ktkjQ4","I7sXao9hZE","OXDGMFPWZM","IkUmn0D7oy","vXNesLlMH1","XAx5wpdLa6","4CyGpkTkEk","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","7j4O788W3g","12rbrZMWeM","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","ruOEQAzv1W","nhYeJWJD5X","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4044","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=4044, right_input=3054, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=5175","layer":4},{"info":"compute unary expreesion, input=5175, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-4902","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-4902, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=9158","layer":2},{"info":"compute unary expreesion, input=9158, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=9158","layer":1},{"info":"number node, value=2375","layer":4},{"info":"compute unary expreesion, input=2375, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=3066","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=2509, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=44812","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=44812, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4211","layer":4},{"info":"compute unary expreesion, input=4211, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=5386","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=5386, right_input=1197, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4663","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=4663, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9158, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∷≠(⫖↰⪸2410⇌⫙⪟⫖↰⪸1926)≝⊿(⩷⨜⫀⫖↰⪸2BB3))+⇶⊼((⊑⫖↰⪸145B)⊍⩺⋍⫖↰⪸1936≄⊠⫖↰⪸1551⪁(⫖↰⪸252B∐⫣)⪭≯(⫖↰⪸314A⫸⊐⫖↰⪸839))=NaN","reverse_text":"NaN=(∷≠(⫖↰⪸2410⇌⫙⪟⫖↰⪸1926)≝⊿(⩷⨜⫀⫖↰⪸2BB3))+⇶⊼((⊑⫖↰⪸145B)⊍⩺⋍⫖↰⪸1936≄⊠⫖↰⪸1551⪁(⫖↰⪸252B∐⫣)⪭≯(⫖↰⪸314A⫸⊐⫖↰⪸839))","cot":[{"info":"⫖↰⪸2410⇌⫙⪟⫖↰⪸1926=⫖↰⪸95","layer":3},{"info":"⩷⨜⫀⫖↰⪸2BB3=⫖↰⪸-2A06","layer":3},{"info":"⫖↰⪸95≝⊿⫖↰⪸-2A06=⫖↰⪸5372","layer":2},{"info":"∷≠⫖↰⪸5372=⫖↰⪸5372","layer":1},{"info":"⊑⫖↰⪸145B=⫖↰⪸140","layer":3},{"info":"⫖↰⪸1936≄⊠⫖↰⪸1551=⫖↰⪸21B24","layer":3},{"info":"⫖↰⪸140⊍⩺⋍⫖↰⪸21B24=NaN","layer":2},{"info":"⫖↰⪸252B∐⫣=⫖↰⪸39B","layer":3},{"info":"⫖↰⪸314A⫸⊐⫖↰⪸839=⫖↰⪸2847","layer":3},{"info":"⫖↰⪸39B⪭≯⫖↰⪸2847=NaN","layer":2},{"info":"NaN⪁NaN=NaN","layer":1},{"info":"⫖↰⪸5372+⇶⊼NaN=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"((⫟$1733$)∓⋝(∑⇻≧$1132$))⨜⨶(⫶⊄≣(⋣$2577$))⩚⊴⇥((⇁⨣⪵$2383$)⇡⇂(⊵⊁$1453$)⪨⊡(⪁⇼($1757$↳∿⪆$1029$)))","expression":"((⫟⫖↰⪸1005)∓⋝(∑⇻≧⫖↰⪸7A4))⨜⨶(⫶⊄≣(⋣⫖↰⪸15A9))⩚⊴⇥((⇁⨣⪵⫖↰⪸1467)⇡⇂(⊵⊁⫖↰⪸A11)⪨⊡(⪁⇼(⫖↰⪸1025↳∿⪆⫖↰⪸719)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":807421,"operation_count":13,"complexity_ratio":62109.307692307695,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1733,"base":12}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1132,"base":12}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2577,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2383,"base":12}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1453,"base":12}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1757,"base":12},"right_expr":{"type":"numeric_atoms","value":1029,"base":12}}}}},"used_operators":["NTOWxs364D","HiPekx5b7W","PoHhknlbAi","z4E1FaHLuy","l1M9WJ3V7u","wxb3vTeyAj","zQWRhDnn8F","kuIXHzHcAH","UMwdvZNt44","inkyxCbjAn","AvED76WdY7","ZNVVrZ94lY","Cw4SuJJGHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","B5M0gjZbta","uBihLCJcMX","k8jYdgA6NY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1733","layer":4},{"info":"compute unary expreesion, input=1733, 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=-4292","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-4292, right_input=-852, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=2577","layer":4},{"info":"compute unary expreesion, input=2577, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-757543","layer":3},{"info":"compute unary expreesion, input=-757543, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=7648","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7648, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=1757","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1029, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫟⫖↰⪸1005)∓⋝(∑⇻≧⫖↰⪸7A4))⨜⨶(⫶⊄≣(⋣⫖↰⪸15A9))⩚⊴⇥((⇁⨣⪵⫖↰⪸1467)⇡⇂(⊵⊁⫖↰⪸A11)⪨⊡(⪁⇼(⫖↰⪸1025↳∿⪆⫖↰⪸719)))=NaN","reverse_text":"NaN=((⫟⫖↰⪸1005)∓⋝(∑⇻≧⫖↰⪸7A4))⨜⨶(⫶⊄≣(⋣⫖↰⪸15A9))⩚⊴⇥((⇁⨣⪵⫖↰⪸1467)⇡⇂(⊵⊁⫖↰⪸A11)⪨⊡(⪁⇼(⫖↰⪸1025↳∿⪆⫖↰⪸719)))","cot":[{"info":"⫟⫖↰⪸1005=⫖↰⪸-2598","layer":3},{"info":"∑⇻≧⫖↰⪸7A4=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸-2598∓⋝⫖↰⪸-5B0=⫖↰⪸57","layer":2},{"info":"⋣⫖↰⪸15A9=⫖↰⪸-306487","layer":3},{"info":"⫶⊄≣⫖↰⪸-306487=NaN","layer":2},{"info":"⫖↰⪸57⨜⨶NaN=NaN","layer":1},{"info":"⇁⨣⪵⫖↰⪸1467=NaN","layer":3},{"info":"⊵⊁⫖↰⪸A11=⫖↰⪸4514","layer":3},{"info":"NaN⇡⇂⫖↰⪸4514=NaN","layer":2},{"info":"⫖↰⪸1025↳∿⪆⫖↰⪸719=NaN","layer":3},{"info":"⪁⇼NaN=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":188,"expression_no_base_symbol":"⋗⩴⪓(($1800$⫚↹⊑$4810$⨵⪆$2118$⨫⇇↔$2075$)∲⫓($1673$⋥≓≎$1638$)⨸($3063$⫥∨⫟$2848$))","expression":"⋗⩴⪓((⫖↰⪸1060⫚↹⊑⫖↰⪸294A⨵⪆⫖↰⪸1286⨫⇇↔⫖↰⪸124B)∲⫓(⫖↰⪸B75⋥≓≎⫖↰⪸B46)⨸(⫖↰⪸1933⫥∨⫟⫖↰⪸1794))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1981,"operation_count":8,"complexity_ratio":247.625,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1800,"base":12},"right_expr":{"type":"numeric_atoms","value":4810,"base":12}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2118,"base":12},"right_expr":{"type":"numeric_atoms","value":2075,"base":12}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1673,"base":12},"right_expr":{"type":"numeric_atoms","value":1638,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3063,"base":12},"right_expr":{"type":"numeric_atoms","value":2848,"base":12}}}}},"used_operators":["nOKPl9n5zu","i8ToyICDmI","2DQ55sFlQl","dfKe02y8D2","LXhwmt4mBO","KmoU8R5UQR","Qy55tPpLXF","KYD54nUTWz"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸641","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1800","layer":4},{"info":"number node, value=4810","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=4810, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2118","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=2075, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-527, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1673","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=1638, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1636","layer":3},{"info":"number node, value=3063","layer":4},{"info":"number node, value=2848","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=2848, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1636, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3272","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=3272, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=913","layer":0}],"base":12,"result_base":12,"text":"⋗⩴⪓((⫖↰⪸1060⫚↹⊑⫖↰⪸294A⨵⪆⫖↰⪸1286⨫⇇↔⫖↰⪸124B)∲⫓(⫖↰⪸B75⋥≓≎⫖↰⪸B46)⨸(⫖↰⪸1933⫥∨⫟⫖↰⪸1794))=⫖↰⪸641","reverse_text":"⫖↰⪸641=⋗⩴⪓((⫖↰⪸1060⫚↹⊑⫖↰⪸294A⨵⪆⫖↰⪸1286⨫⇇↔⫖↰⪸124B)∲⫓(⫖↰⪸B75⋥≓≎⫖↰⪸B46)⨸(⫖↰⪸1933⫥∨⫟⫖↰⪸1794))","cot":[{"info":"⫖↰⪸1060⫚↹⊑⫖↰⪸294A=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1286⨫⇇↔⫖↰⪸124B=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸-313⨵⪆⫖↰⪸-37B=⫖↰⪸114","layer":2},{"info":"⫖↰⪸B75⋥≓≎⫖↰⪸B46=⫖↰⪸B44","layer":3},{"info":"⫖↰⪸1933⫥∨⫟⫖↰⪸1794=NaN","layer":3},{"info":"⫖↰⪸B44⨸NaN=⫖↰⪸1A88","layer":2},{"info":"⫖↰⪸114∲⫓⫖↰⪸1A88=⫖↰⪸0","layer":1},{"info":"⋗⩴⪓⫖↰⪸0=⫖↰⪸641","layer":0}]}
{"id":189,"expression_no_base_symbol":"⨩∲⋌(($4218$⪨⊡$1323$)≀⫉($3797$∖$1426$)⪭≯(($1302$⇐≅)⩹$2289$⫒⫫$3075$))","expression":"⨩∲⋌((⫖↰⪸2536⪨⊡⫖↰⪸923)≀⫉(⫖↰⪸2245∖⫖↰⪸9AA)⪭≯((⫖↰⪸906⇐≅)⩹⫖↰⪸13A9⫒⫫⫖↰⪸1943))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":674,"operation_count":8,"complexity_ratio":84.25,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4218,"base":12},"right_expr":{"type":"numeric_atoms","value":1323,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3797,"base":12},"right_expr":{"type":"numeric_atoms","value":1426,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1302,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2289,"base":12},"right_expr":{"type":"numeric_atoms","value":3075,"base":12}}}}},"used_operators":["aSik1wnThz","XAx5wpdLa6","oZj3VtZNQx","kuIXHzHcAH","tXD093vOjl","2Wsdkap16l","wEfv7U73WA","6Ko8hGgeMq"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4218","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=1323, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3797","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=3797, right_input=1426, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=3874","layer":3},{"info":"number node, value=2289","layer":4},{"info":"number node, value=3075","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=3075, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3874, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨩∲⋌((⫖↰⪸2536⪨⊡⫖↰⪸923)≀⫉(⫖↰⪸2245∖⫖↰⪸9AA)⪭≯((⫖↰⪸906⇐≅)⩹⫖↰⪸13A9⫒⫫⫖↰⪸1943))=NaN","reverse_text":"NaN=⨩∲⋌((⫖↰⪸2536⪨⊡⫖↰⪸923)≀⫉(⫖↰⪸2245∖⫖↰⪸9AA)⪭≯((⫖↰⪸906⇐≅)⩹⫖↰⪸13A9⫒⫫⫖↰⪸1943))","cot":[{"info":"⫖↰⪸2536⪨⊡⫖↰⪸923=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2245∖⫖↰⪸9AA=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≀⫉⫖↰⪸0=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸906⇐≅=⫖↰⪸22AA","layer":3},{"info":"⫖↰⪸13A9⫒⫫⫖↰⪸1943=NaN","layer":3},{"info":"⫖↰⪸22AA⩹NaN=NaN","layer":2},{"info":"⫖↰⪸1772⪭≯NaN=NaN","layer":1},{"info":"⨩∲⋌NaN=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"(⨆≐≲$4200$)⊮⊟↴$3324$⪝$6497$⊢(∥⊫$4968$⨥⫆$2103$)∕⩚(⪸($1909$⋻⩜⩜$2714$))⋣⋖(↣≠⋷$2032$↳≱$2958$)","expression":"(⨆≐≲⫖↰⪸2520)⊮⊟↴⫖↰⪸1B10⪝⫖↰⪸3915⊢(∥⊫⫖↰⪸2A60⨥⫆⫖↰⪸1273)∕⩚(⪸(⫖↰⪸1131⋻⩜⩜⫖↰⪸16A2))⋣⋖(↣≠⋷⫖↰⪸1214↳≱⫖↰⪸1866)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":38753,"operation_count":12,"complexity_ratio":3229.4166666666665,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4200,"base":12}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3324,"base":12},"right_expr":{"type":"numeric_atoms","value":6497,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4968,"base":12},"right_expr":{"type":"numeric_atoms","value":2103,"base":12}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1909,"base":12},"right_expr":{"type":"numeric_atoms","value":2714,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2032,"base":12},"right_expr":{"type":"numeric_atoms","value":2958,"base":12}}}}},"used_operators":["z9ffQ9n5Zr","5twsqlHp2o","QDVgd2eftb","Bi9z9uYZqW","wicAB68Tmb","P8v4zCKN1o","yXekIHxTD4","J0M6qkBnIM","86A5ENbKR9","oDCm7WA9JY","Asc51vEJeQ","JwTKLfZU96"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","XhwjNDsVaA","AHs5Up7iyr","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⫖↰⪸-347","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4200","layer":4},{"info":"compute unary expreesion, input=4200, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=45631320","layer":3},{"info":"number node, value=3324","layer":4},{"info":"number node, value=6497","layer":4},{"info":"compute binary expreesion, left_input=3324, right_input=6497, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=45631320, right_input=237, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=4968","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=2103, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4082","layer":3},{"info":"compute unary expreesion, input=4082, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4950","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4950, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":1},{"info":"number node, value=1909","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=2714, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3818","layer":3},{"info":"compute unary expreesion, input=3818, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-64697","layer":2},{"info":"number node, value=2032","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=2958, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-64697, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-64697","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-64697, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":12,"result_base":12,"text":"(⨆≐≲⫖↰⪸2520)⊮⊟↴⫖↰⪸1B10⪝⫖↰⪸3915⊢(∥⊫⫖↰⪸2A60⨥⫆⫖↰⪸1273)∕⩚(⪸(⫖↰⪸1131⋻⩜⩜⫖↰⪸16A2))⋣⋖(↣≠⋷⫖↰⪸1214↳≱⫖↰⪸1866)=⫖↰⪸-347","reverse_text":"⫖↰⪸-347=(⨆≐≲⫖↰⪸2520)⊮⊟↴⫖↰⪸1B10⪝⫖↰⪸3915⊢(∥⊫⫖↰⪸2A60⨥⫆⫖↰⪸1273)∕⩚(⪸(⫖↰⪸1131⋻⩜⩜⫖↰⪸16A2))⋣⋖(↣≠⋷⫖↰⪸1214↳≱⫖↰⪸1866)","cot":[{"info":"⨆≐≲⫖↰⪸2520=⫖↰⪸13347020","layer":3},{"info":"⫖↰⪸1B10⪝⫖↰⪸3915=⫖↰⪸179","layer":3},{"info":"⫖↰⪸13347020⊮⊟↴⫖↰⪸179=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2A60⨥⫆⫖↰⪸1273=⫖↰⪸2442","layer":3},{"info":"∥⊫⫖↰⪸2442=⫖↰⪸2A46","layer":2},{"info":"⫖↰⪸0⊢⫖↰⪸2A46=⫖↰⪸-184","layer":1},{"info":"⫖↰⪸1131⋻⩜⩜⫖↰⪸16A2=⫖↰⪸2262","layer":3},{"info":"⪸⫖↰⪸2262=⫖↰⪸-31535","layer":2},{"info":"⫖↰⪸1214↳≱⫖↰⪸1866=⫖↰⪸0","layer":3},{"info":"↣≠⋷⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-31535⋣⋖NaN=⫖↰⪸-31535","layer":1},{"info":"⫖↰⪸-184∕⩚⫖↰⪸-31535=⫖↰⪸-347","layer":0}]}
{"id":191,"expression_no_base_symbol":"($3464$⫉⨲⊜$3711$⋓$3112$⨐$4830$⫦⪉$2893$⊕∕$7680$⇤($2411$⊔$4665$))⇣⩺⋵(($1972$⋳⪒$8902$)⩒⫫$2925$⩦$6345$)⇤((⨰⫟⨤$2393$)⋆⋳)","expression":"(⫖↰⪸2008⫉⨲⊜⫖↰⪸2193⋓⫖↰⪸1974⨐⫖↰⪸2966⫦⪉⫖↰⪸1811⊕∕⫖↰⪸4540⇤(⫖↰⪸148B⊔⫖↰⪸2849))⇣⩺⋵((⫖↰⪸1184⋳⪒⫖↰⪸519A)⩒⫫⫖↰⪸1839⩦⫖↰⪸3809)⇤((⨰⫟⨤⫖↰⪸1475)⋆⋳)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8975,"operation_count":14,"complexity_ratio":641.0714285714286,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3464,"base":12},"right_expr":{"type":"numeric_atoms","value":3711,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3112,"base":12},"right_expr":{"type":"numeric_atoms","value":4830,"base":12}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2893,"base":12},"right_expr":{"type":"numeric_atoms","value":7680,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2411,"base":12},"right_expr":{"type":"numeric_atoms","value":4665,"base":12}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1972,"base":12},"right_expr":{"type":"numeric_atoms","value":8902,"base":12}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2925,"base":12},"right_expr":{"type":"numeric_atoms","value":6345,"base":12}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2393,"base":12}}}}},"used_operators":["F4yD0voBRQ","wscyQdcy20","T2fj7uvVaJ","WhqkvtTD3t","Noe24qw2ks","YSKBFp38Pu","9cloC0Ngie","E4l6HwMY31","KFSx94NKJn","12rbrZMWeM","0kmYd0q39Y","6MpZysEj17","Tw270M8GLb"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eewbuw0ToL","zVYPLywUTj","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⫖↰⪸-198","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3464","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=3464, right_input=3711, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3112","layer":4},{"info":"number node, value=4830","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=4830, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6224","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6224, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2893","layer":4},{"info":"number node, value=7680","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=7680, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2893","layer":3},{"info":"number node, value=2411","layer":4},{"info":"number node, value=4665","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=4665, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=25747","layer":3},{"info":"compute binary expreesion, left_input=2893, right_input=25747, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-140352","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-140352, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":1},{"info":"number node, value=1972","layer":4},{"info":"number node, value=8902","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=8902, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5245","layer":3},{"info":"number node, value=2925","layer":4},{"info":"number node, value=6345","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=6345, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5850","layer":3},{"info":"compute binary expreesion, left_input=-5245, right_input=5850, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=2393","layer":4},{"info":"compute unary expreesion, input=2393, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4900, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2008⫉⨲⊜⫖↰⪸2193⋓⫖↰⪸1974⨐⫖↰⪸2966⫦⪉⫖↰⪸1811⊕∕⫖↰⪸4540⇤(⫖↰⪸148B⊔⫖↰⪸2849))⇣⩺⋵((⫖↰⪸1184⋳⪒⫖↰⪸519A)⩒⫫⫖↰⪸1839⩦⫖↰⪸3809)⇤((⨰⫟⨤⫖↰⪸1475)⋆⋳)=⫖↰⪸-198","reverse_text":"⫖↰⪸-198=(⫖↰⪸2008⫉⨲⊜⫖↰⪸2193⋓⫖↰⪸1974⨐⫖↰⪸2966⫦⪉⫖↰⪸1811⊕∕⫖↰⪸4540⇤(⫖↰⪸148B⊔⫖↰⪸2849))⇣⩺⋵((⫖↰⪸1184⋳⪒⫖↰⪸519A)⩒⫫⫖↰⪸1839⩦⫖↰⪸3809)⇤((⨰⫟⨤⫖↰⪸1475)⋆⋳)","cot":[{"info":"⫖↰⪸2008⫉⨲⊜⫖↰⪸2193=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1974⨐⫖↰⪸2966=⫖↰⪸-3728","layer":3},{"info":"⫖↰⪸0⋓⫖↰⪸-3728=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1811⊕∕⫖↰⪸4540=⫖↰⪸1811","layer":3},{"info":"⫖↰⪸148B⊔⫖↰⪸2849=⫖↰⪸12A97","layer":3},{"info":"⫖↰⪸1811⇤⫖↰⪸12A97=⫖↰⪸-69280","layer":2},{"info":"⫖↰⪸0⫦⪉⫖↰⪸-69280=⫖↰⪸2A04","layer":1},{"info":"⫖↰⪸1184⋳⪒⫖↰⪸519A=⫖↰⪸-3051","layer":3},{"info":"⫖↰⪸1839⩦⫖↰⪸3809=⫖↰⪸3476","layer":3},{"info":"⫖↰⪸-3051⩒⫫⫖↰⪸3476=⫖↰⪸114","layer":2},{"info":"⨰⫟⨤⫖↰⪸1475=NaN","layer":3},{"info":"NaN⋆⋳=NaN","layer":2},{"info":"⫖↰⪸114⇤NaN=NaN","layer":1},{"info":"⫖↰⪸2A04⇣⩺⋵NaN=⫖↰⪸-198","layer":0}]}
{"id":192,"expression_no_base_symbol":"⨛((($7653$≀⫉$4663$)↳∿⪆$1930$∴$2025$)⊀⩕)","expression":"⨛(((⫖↰⪸4519≀⫉⫖↰⪸2847)↳∿⪆⫖↰⪸114A∴⫖↰⪸1209)⊀⩕)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3445,"operation_count":5,"complexity_ratio":689.0,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":7653,"base":12},"right_expr":{"type":"numeric_atoms","value":4663,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1930,"base":12},"right_expr":{"type":"numeric_atoms","value":2025,"base":12}}}}},"used_operators":["CoMdbyAt7R","r0FS3hW4cC","Cw4SuJJGHO","oZj3VtZNQx","hrf7POJlIJ"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rGHVDoGpnC","nhYeJWJD5X","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7653","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=7653, right_input=4663, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1930","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=2025, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5508","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=5508, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨛(((⫖↰⪸4519≀⫉⫖↰⪸2847)↳∿⪆⫖↰⪸114A∴⫖↰⪸1209)⊀⩕)=NaN","reverse_text":"NaN=⨛(((⫖↰⪸4519≀⫉⫖↰⪸2847)↳∿⪆⫖↰⪸114A∴⫖↰⪸1209)⊀⩕)","cot":[{"info":"⫖↰⪸4519≀⫉⫖↰⪸2847=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸114A∴⫖↰⪸1209=⫖↰⪸3230","layer":3},{"info":"⫖↰⪸1772↳∿⪆⫖↰⪸3230=NaN","layer":2},{"info":"NaN⊀⩕=NaN","layer":1},{"info":"⨛NaN=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"(⇋↷($3241$⩒⫫$5806$))⊮⊟↴(⨞⊢$2741$≚⊃≕$6069$)⊚⫡⫭","expression":"(⇋↷(⫖↰⪸1A61⩒⫫⫖↰⪸343A))⊮⊟↴(⨞⊢⫖↰⪸1705≚⊃≕⫖↰⪸3619)⊚⫡⫭","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":113,"operation_count":6,"complexity_ratio":18.833333333333332,"tree":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3241,"base":12},"right_expr":{"type":"numeric_atoms","value":5806,"base":12}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2741,"base":12},"right_expr":{"type":"numeric_atoms","value":6069,"base":12}}}}},"used_operators":["SpZWOsLKZJ","QDVgd2eftb","SWo3A1KBJH","KFSx94NKJn","xUOZtlo3hN","Bmrmz2XGnR"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"⫖↰⪸652","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3241","layer":4},{"info":"number node, value=5806","layer":4},{"info":"compute binary expreesion, left_input=3241, right_input=5806, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2939","layer":3},{"info":"compute unary expreesion, input=2939, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=23512","layer":2},{"info":"number node, value=2741","layer":4},{"info":"number node, value=6069","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=6069, 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=-16221","layer":3},{"info":"compute unary expreesion, input=-16221, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=16047","layer":2},{"info":"compute binary expreesion, left_input=23512, right_input=16047, 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 = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=926","layer":0}],"base":12,"result_base":12,"text":"(⇋↷(⫖↰⪸1A61⩒⫫⫖↰⪸343A))⊮⊟↴(⨞⊢⫖↰⪸1705≚⊃≕⫖↰⪸3619)⊚⫡⫭=⫖↰⪸652","reverse_text":"⫖↰⪸652=(⇋↷(⫖↰⪸1A61⩒⫫⫖↰⪸343A))⊮⊟↴(⨞⊢⫖↰⪸1705≚⊃≕⫖↰⪸3619)⊚⫡⫭","cot":[{"info":"⫖↰⪸1A61⩒⫫⫖↰⪸343A=⫖↰⪸184B","layer":3},{"info":"⇋↷⫖↰⪸184B=⫖↰⪸11734","layer":2},{"info":"⫖↰⪸1705≚⊃≕⫖↰⪸3619=⫖↰⪸-9479","layer":3},{"info":"⨞⊢⫖↰⪸-9479=⫖↰⪸9353","layer":2},{"info":"⫖↰⪸11734⊮⊟↴⫖↰⪸9353=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊚⫡⫭=⫖↰⪸652","layer":0}]}
{"id":194,"expression_no_base_symbol":"((⨭⩧⫛($1710$⇌⫙⪟$2077$))⫯⪬∳($1036$↠)≎⪠($4080$⫳≱↱$2768$))≴⪞⇿(∡(($8334$⋷$1796$)⪄$6019$≨$3133$))","expression":"((⨭⩧⫛(⫖↰⪸BA6⇌⫙⪟⫖↰⪸1251))⫯⪬∳(⫖↰⪸724↠)≎⪠(⫖↰⪸2440⫳≱↱⫖↰⪸1728))≴⪞⇿(∡((⫖↰⪸49A6⋷⫖↰⪸1058)⪄⫖↰⪸3597≨⫖↰⪸1991))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":32444,"operation_count":11,"complexity_ratio":2949.4545454545455,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1710,"base":12},"right_expr":{"type":"numeric_atoms","value":2077,"base":12}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1036,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4080,"base":12},"right_expr":{"type":"numeric_atoms","value":2768,"base":12}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8334,"base":12},"right_expr":{"type":"numeric_atoms","value":1796,"base":12}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6019,"base":12},"right_expr":{"type":"numeric_atoms","value":3133,"base":12}}}}},"used_operators":["lvlrscuwVU","d7ASUq0ydm","g21JL6JxX7","AFVx7xoS7T","aNhz54LH3e","LBdsKIvxzf","ZvLB05nZmT","pRsWfj4Fpp","SUmda5xLS4","23Mk6UjR3U","0KMCeP1Jsh"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1710","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=2077, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=4080","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=4080, right_input=2768, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-204, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"number node, value=8334","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=8334, right_input=1796, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4742","layer":3},{"info":"number node, value=6019","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=6019, right_input=3133, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-57714","layer":3},{"info":"compute binary expreesion, left_input=-4742, right_input=-57714, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3979, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨭⩧⫛(⫖↰⪸BA6⇌⫙⪟⫖↰⪸1251))⫯⪬∳(⫖↰⪸724↠)≎⪠(⫖↰⪸2440⫳≱↱⫖↰⪸1728))≴⪞⇿(∡((⫖↰⪸49A6⋷⫖↰⪸1058)⪄⫖↰⪸3597≨⫖↰⪸1991))=NaN","reverse_text":"NaN=((⨭⩧⫛(⫖↰⪸BA6⇌⫙⪟⫖↰⪸1251))⫯⪬∳(⫖↰⪸724↠)≎⪠(⫖↰⪸2440⫳≱↱⫖↰⪸1728))≴⪞⇿(∡((⫖↰⪸49A6⋷⫖↰⪸1058)⪄⫖↰⪸3597≨⫖↰⪸1991))","cot":[{"info":"⫖↰⪸BA6⇌⫙⪟⫖↰⪸1251=⫖↰⪸95","layer":3},{"info":"⨭⩧⫛⫖↰⪸95=NaN","layer":2},{"info":"⫖↰⪸724↠=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸2440⫳≱↱⫖↰⪸1728=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸-313≎⪠⫖↰⪸-150=⫖↰⪸B39A","layer":2},{"info":"NaN⫯⪬∳⫖↰⪸B39A=NaN","layer":1},{"info":"⫖↰⪸49A6⋷⫖↰⪸1058=⫖↰⪸-28B2","layer":3},{"info":"⫖↰⪸3597≨⫖↰⪸1991=⫖↰⪸-29496","layer":3},{"info":"⫖↰⪸-28B2⪄⫖↰⪸-29496=⫖↰⪸2377","layer":2},{"info":"∡⫖↰⪸2377=⫖↰⪸-2377","layer":1},{"info":"NaN≴⪞⇿⫖↰⪸-2377=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"↥≼⋛(($1693$⊧↖)⨎($2024$∈))≒∊($4444$⨓$4034$)⊕∕(↽≂$1436$)","expression":"↥≼⋛((⫖↰⪸B91⊧↖)⨎(⫖↰⪸1208∈))≒∊(⫖↰⪸26A4⨓⫖↰⪸2402)⊕∕(↽≂⫖↰⪸9B8)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5825,"operation_count":8,"complexity_ratio":728.125,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1693,"base":12}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":2024,"base":12}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4444,"base":12},"right_expr":{"type":"numeric_atoms","value":4034,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1436,"base":12}}}}},"used_operators":["x5lMkHmzsq","5KTvxBwnZo","rJVOvQCfKK","EKiFHuOFxO","ztP7wcbY7m","9cloC0Ngie","3ViojmjbAp","u6S6b8DprG"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-29B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"compute unary expreesion, input=1693, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=17204780","layer":3},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=5401","layer":3},{"info":"compute binary expreesion, left_input=17204780, right_input=5401, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5401","layer":2},{"info":"number node, value=4444","layer":4},{"info":"number node, value=4034","layer":4},{"info":"compute binary expreesion, left_input=4444, right_input=4034, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4037","layer":3},{"info":"number node, value=1436","layer":4},{"info":"compute unary expreesion, input=1436, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2872","layer":3},{"info":"compute binary expreesion, left_input=-4037, right_input=-2872, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-4037","layer":2},{"info":"compute binary expreesion, left_input=5401, right_input=-4037, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4917","layer":1},{"info":"compute unary expreesion, input=-4917, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-4884","layer":0}],"base":12,"result_base":12,"text":"↥≼⋛((⫖↰⪸B91⊧↖)⨎(⫖↰⪸1208∈))≒∊(⫖↰⪸26A4⨓⫖↰⪸2402)⊕∕(↽≂⫖↰⪸9B8)=⫖↰⪸-29B0","reverse_text":"⫖↰⪸-29B0=↥≼⋛((⫖↰⪸B91⊧↖)⨎(⫖↰⪸1208∈))≒∊(⫖↰⪸26A4⨓⫖↰⪸2402)⊕∕(↽≂⫖↰⪸9B8)","cot":[{"info":"⫖↰⪸B91⊧↖=⫖↰⪸5918578","layer":3},{"info":"⫖↰⪸1208∈=⫖↰⪸3161","layer":3},{"info":"⫖↰⪸5918578⨎⫖↰⪸3161=⫖↰⪸3161","layer":2},{"info":"⫖↰⪸26A4⨓⫖↰⪸2402=⫖↰⪸-2405","layer":3},{"info":"↽≂⫖↰⪸9B8=⫖↰⪸-17B4","layer":3},{"info":"⫖↰⪸-2405⊕∕⫖↰⪸-17B4=⫖↰⪸-2405","layer":2},{"info":"⫖↰⪸3161≒∊⫖↰⪸-2405=⫖↰⪸-2A19","layer":1},{"info":"↥≼⋛⫖↰⪸-2A19=⫖↰⪸-29B0","layer":0}]}
{"id":196,"expression_no_base_symbol":"(⨵(($1860$⪁$6124$)⪪$4278$≁↽≥$2770$))⇍⊗((↸⊣($1269$⊝⪿⪼$1251$))⨵⪆(→⩰$2401$⪔⊥$3434$))","expression":"(⨵((⫖↰⪸10B0⪁⫖↰⪸3664)⪪⫖↰⪸2586≁↽≥⫖↰⪸172A))⇍⊗((↸⊣(⫖↰⪸899⊝⪿⪼⫖↰⪸883))⨵⪆(→⩰⫖↰⪸1481⪔⊥⫖↰⪸1BA2))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":384496016,"operation_count":10,"complexity_ratio":38449601.6,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1860,"base":12},"right_expr":{"type":"numeric_atoms","value":6124,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4278,"base":12},"right_expr":{"type":"numeric_atoms","value":2770,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1269,"base":12},"right_expr":{"type":"numeric_atoms","value":1251,"base":12}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2401,"base":12},"right_expr":{"type":"numeric_atoms","value":3434,"base":12}}}}},"used_operators":["5uvYHDjeKN","Tl3Y52tvF8","xD69zh8xqp","I7sXao9hZE","ncHt1X6cMc","2DQ55sFlQl","wztAlM01eG","3Oe9XWJUTD","o8Pngz0Tml","HJ9erzHUuu"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","FU0Cs4j7VP","JclMnS0uGI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫖↰⪸-184","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1860","layer":4},{"info":"number node, value=6124","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=6124, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=4278","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=4278, right_input=2770, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=59918","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=59918, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":1},{"info":"number node, value=1269","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=1251, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=23839","layer":3},{"info":"compute unary expreesion, input=23839, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-23552","layer":2},{"info":"number node, value=2401","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=3434, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2537","layer":3},{"info":"compute unary expreesion, input=2537, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23552, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":12,"result_base":12,"text":"(⨵((⫖↰⪸10B0⪁⫖↰⪸3664)⪪⫖↰⪸2586≁↽≥⫖↰⪸172A))⇍⊗((↸⊣(⫖↰⪸899⊝⪿⪼⫖↰⪸883))⨵⪆(→⩰⫖↰⪸1481⪔⊥⫖↰⪸1BA2))=⫖↰⪸-184","reverse_text":"⫖↰⪸-184=(⨵((⫖↰⪸10B0⪁⫖↰⪸3664)⪪⫖↰⪸2586≁↽≥⫖↰⪸172A))⇍⊗((↸⊣(⫖↰⪸899⊝⪿⪼⫖↰⪸883))⨵⪆(→⩰⫖↰⪸1481⪔⊥⫖↰⪸1BA2))","cot":[{"info":"⫖↰⪸10B0⪁⫖↰⪸3664=NaN","layer":3},{"info":"⫖↰⪸2586≁↽≥⫖↰⪸172A=⫖↰⪸2A812","layer":3},{"info":"NaN⪪⫖↰⪸2A812=NaN","layer":2},{"info":"⨵NaN=NaN","layer":1},{"info":"⫖↰⪸899⊝⪿⪼⫖↰⪸883=⫖↰⪸11967","layer":3},{"info":"↸⊣⫖↰⪸11967=⫖↰⪸-11768","layer":2},{"info":"⫖↰⪸1481⪔⊥⫖↰⪸1BA2=⫖↰⪸1575","layer":3},{"info":"→⩰⫖↰⪸1575=NaN","layer":2},{"info":"⫖↰⪸-11768⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"NaN⇍⊗⫖↰⪸114=⫖↰⪸-184","layer":0}]}
{"id":197,"expression_no_base_symbol":"((⫶⊄≣($1813$⩇∃⫛$1295$))+⇶⊼((⊑$7141$)∙∹∝(⪓⩚$2067$)))∑⇟⊟($1412$∌$1755$⊜)≁($1808$+⇶⊼$1983$⨳⩥⨓($6817$∠⫱$1120$))","expression":"((⫶⊄≣(⫖↰⪸1071⩇∃⫛⫖↰⪸8BB))+⇶⊼((⊑⫖↰⪸4171)∙∹∝(⪓⩚⫖↰⪸1243)))∑⇟⊟(⫖↰⪸998∌⫖↰⪸1023⊜)≁(⫖↰⪸1068+⇶⊼⫖↰⪸1193⨳⩥⨓(⫖↰⪸3B41∠⫱⫖↰⪸794))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3948,"operation_count":13,"complexity_ratio":303.6923076923077,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1813,"base":12},"right_expr":{"type":"numeric_atoms","value":1295,"base":12}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":7141,"base":12}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2067,"base":12}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1412,"base":12},"right_expr":{"type":"numeric_atoms","value":1755,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1808,"base":12},"right_expr":{"type":"numeric_atoms","value":1983,"base":12}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6817,"base":12},"right_expr":{"type":"numeric_atoms","value":1120,"base":12}}}}},"used_operators":["U7g4x0WXJJ","TpPTUOHfaN","wxb3vTeyAj","1aApVXNlOP","HmxsFra2vL","IkUmn0D7oy","u0R0Locfp2","8N2wDY1A35","Eev2Q7dYIw","8cLx32lpNA","nCS4ZIUYfx","QvoQhV0rrE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1813","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=1295, 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=-45","layer":3},{"info":"compute unary expreesion, input=-45, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=32329","layer":2},{"info":"number node, value=7141","layer":4},{"info":"compute unary expreesion, input=7141, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=2067","layer":4},{"info":"compute unary expreesion, input=2067, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=426, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=32329, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":1},{"info":"number node, value=1412","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1755, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1755","layer":3},{"info":"compute unary expreesion, input=-1755, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=10420","layer":2},{"info":"number node, value=1808","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=1983, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6817","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=6817, right_input=1120, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10420, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫶⊄≣(⫖↰⪸1071⩇∃⫛⫖↰⪸8BB))+⇶⊼((⊑⫖↰⪸4171)∙∹∝(⪓⩚⫖↰⪸1243)))∑⇟⊟(⫖↰⪸998∌⫖↰⪸1023⊜)≁(⫖↰⪸1068+⇶⊼⫖↰⪸1193⨳⩥⨓(⫖↰⪸3B41∠⫱⫖↰⪸794))=NaN","reverse_text":"NaN=((⫶⊄≣(⫖↰⪸1071⩇∃⫛⫖↰⪸8BB))+⇶⊼((⊑⫖↰⪸4171)∙∹∝(⪓⩚⫖↰⪸1243)))∑⇟⊟(⫖↰⪸998∌⫖↰⪸1023⊜)≁(⫖↰⪸1068+⇶⊼⫖↰⪸1193⨳⩥⨓(⫖↰⪸3B41∠⫱⫖↰⪸794))","cot":[{"info":"⫖↰⪸1071⩇∃⫛⫖↰⪸8BB=⫖↰⪸-39","layer":3},{"info":"⫶⊄≣⫖↰⪸-39=⫖↰⪸16861","layer":2},{"info":"⊑⫖↰⪸4171=⫖↰⪸140","layer":3},{"info":"⪓⩚⫖↰⪸1243=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸140∙∹∝⫖↰⪸2B6=⫖↰⪸0","layer":2},{"info":"⫖↰⪸16861+⇶⊼⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸998∌⫖↰⪸1023=⫖↰⪸-1023","layer":3},{"info":"⫖↰⪸-1023⊜=⫖↰⪸6044","layer":2},{"info":"⫖↰⪸1068+⇶⊼⫖↰⪸1193=NaN","layer":3},{"info":"⫖↰⪸3B41∠⫱⫖↰⪸794=⫖↰⪸86A","layer":3},{"info":"NaN⨳⩥⨓⫖↰⪸86A=NaN","layer":2},{"info":"⫖↰⪸6044≁NaN=NaN","layer":1},{"info":"⫖↰⪸0∑⇟⊟NaN=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"∨∊⋏(($4360$⩁)∳⫺($2566$⨐⩸⫘$2135$)∘($1326$⨚⇆$2912$⪔$7474$⪛$3579$))","expression":"∨∊⋏((⫖↰⪸2634⩁)∳⫺(⫖↰⪸159A⨐⩸⫘⫖↰⪸129B)∘(⫖↰⪸926⨚⇆⫖↰⪸1828⪔⫖↰⪸43AA⪛⫖↰⪸20A3))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9864,"operation_count":8,"complexity_ratio":1233.0,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":4360,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2566,"base":12},"right_expr":{"type":"numeric_atoms","value":2135,"base":12}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1326,"base":12},"right_expr":{"type":"numeric_atoms","value":2912,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7474,"base":12},"right_expr":{"type":"numeric_atoms","value":3579,"base":12}}}}},"used_operators":["R5aXW34M0v","Z5m6OM72h2","AzXXKTstlj","5GqDbVmqXU","fu6greOZ01","GjBEYRfMaF","lwHaAYXP2r","uFcxV4UQCh"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eH2TOUuTDT","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","3ViojmjbAp","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸-125B5","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4360","layer":4},{"info":"compute unary expreesion, input=4360, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-32100","layer":3},{"info":"number node, value=2566","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=2135, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-32100, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1326","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=2912, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=7474","layer":4},{"info":"number node, value=3579","layer":4},{"info":"compute binary expreesion, left_input=7474, right_input=3579, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=316","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=316, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-520","layer":1},{"info":"compute unary expreesion, input=-520, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-25049","layer":0}],"base":12,"result_base":12,"text":"∨∊⋏((⫖↰⪸2634⩁)∳⫺(⫖↰⪸159A⨐⩸⫘⫖↰⪸129B)∘(⫖↰⪸926⨚⇆⫖↰⪸1828⪔⫖↰⪸43AA⪛⫖↰⪸20A3))=⫖↰⪸-125B5","reverse_text":"⫖↰⪸-125B5=∨∊⋏((⫖↰⪸2634⩁)∳⫺(⫖↰⪸159A⨐⩸⫘⫖↰⪸129B)∘(⫖↰⪸926⨚⇆⫖↰⪸1828⪔⫖↰⪸43AA⪛⫖↰⪸20A3))","cot":[{"info":"⫖↰⪸2634⩁=⫖↰⪸-166B0","layer":3},{"info":"⫖↰⪸159A⨐⩸⫘⫖↰⪸129B=NaN","layer":3},{"info":"⫖↰⪸-166B0∳⫺NaN=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸926⨚⇆⫖↰⪸1828=NaN","layer":3},{"info":"⫖↰⪸43AA⪛⫖↰⪸20A3=⫖↰⪸224","layer":3},{"info":"NaN⪔⫖↰⪸224=NaN","layer":2},{"info":"⫖↰⪸-198∘NaN=⫖↰⪸-374","layer":1},{"info":"∨∊⋏⫖↰⪸-374=⫖↰⪸-125B5","layer":0}]}
{"id":199,"expression_no_base_symbol":"(($2123$∝$3168$)≑≱⪘)⪭($5262$⩇∃⫛$2044$)⋛($1753$⫔⩽⩺$3045$)⩵∡($3072$⪨≂$1245$)⇤($1355$≳⇉$5066$)⩼⇪↪($7351$∙∹∝$3239$)↞⋁($4158$↬$2697$)","expression":"((⫖↰⪸128B∝⫖↰⪸1A00)≑≱⪘)⪭(⫖↰⪸3066⩇∃⫛⫖↰⪸1224)⋛(⫖↰⪸1021⫔⩽⩺⫖↰⪸1919)⩵∡(⫖↰⪸1940⪨≂⫖↰⪸879)⇤(⫖↰⪸94B≳⇉⫖↰⪸2B22)⩼⇪↪(⫖↰⪸4307∙∹∝⫖↰⪸1A5B)↞⋁(⫖↰⪸24A6↬⫖↰⪸1689)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":333183214,"operation_count":14,"complexity_ratio":23798801.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2123,"base":12},"right_expr":{"type":"numeric_atoms","value":3168,"base":12}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":5262,"base":12},"right_expr":{"type":"numeric_atoms","value":2044,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1753,"base":12},"right_expr":{"type":"numeric_atoms","value":3045,"base":12}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3072,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1355,"base":12},"right_expr":{"type":"numeric_atoms","value":5066,"base":12}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7351,"base":12},"right_expr":{"type":"numeric_atoms","value":3239,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4158,"base":12},"right_expr":{"type":"numeric_atoms","value":2697,"base":12}}}}},"used_operators":["Y7wcNGrDQJ","j9kHMeSvPp","tGSeddj7UK","cTDWOvIxvz","YbUVn0Rbpy","1aApVXNlOP","i9eR4S00cU","ocnLzx9CaJ","YSKBFp38Pu","sdazOOVcIp","V0kx6qeWkN","RqrPlJkxDo","HmxsFra2vL","B5M0gjZbta"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","7j4O788W3g","W4YGzv6Whe","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2123","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=3168, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2128","layer":3},{"info":"compute unary expreesion, input=2128, 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=51693","layer":2},{"info":"number node, value=5262","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=5262, right_input=2044, 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=-2745","layer":3},{"info":"number node, value=1753","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=3045, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2745, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=51693, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"number node, value=3072","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=1245, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3756","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=5066","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=5066, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3756, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"number node, value=7351","layer":4},{"info":"number node, value=3239","layer":4},{"info":"compute binary expreesion, left_input=7351, right_input=3239, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4158","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=2697, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸128B∝⫖↰⪸1A00)≑≱⪘)⪭(⫖↰⪸3066⩇∃⫛⫖↰⪸1224)⋛(⫖↰⪸1021⫔⩽⩺⫖↰⪸1919)⩵∡(⫖↰⪸1940⪨≂⫖↰⪸879)⇤(⫖↰⪸94B≳⇉⫖↰⪸2B22)⩼⇪↪(⫖↰⪸4307∙∹∝⫖↰⪸1A5B)↞⋁(⫖↰⪸24A6↬⫖↰⪸1689)=NaN","reverse_text":"NaN=((⫖↰⪸128B∝⫖↰⪸1A00)≑≱⪘)⪭(⫖↰⪸3066⩇∃⫛⫖↰⪸1224)⋛(⫖↰⪸1021⫔⩽⩺⫖↰⪸1919)⩵∡(⫖↰⪸1940⪨≂⫖↰⪸879)⇤(⫖↰⪸94B≳⇉⫖↰⪸2B22)⩼⇪↪(⫖↰⪸4307∙∹∝⫖↰⪸1A5B)↞⋁(⫖↰⪸24A6↬⫖↰⪸1689)","cot":[{"info":"⫖↰⪸128B∝⫖↰⪸1A00=⫖↰⪸1294","layer":3},{"info":"⫖↰⪸1294≑≱⪘=⫖↰⪸25AB9","layer":2},{"info":"⫖↰⪸3066⩇∃⫛⫖↰⪸1224=⫖↰⪸-1709","layer":3},{"info":"⫖↰⪸1021⫔⩽⩺⫖↰⪸1919=NaN","layer":3},{"info":"⫖↰⪸-1709⋛NaN=NaN","layer":2},{"info":"⫖↰⪸25AB9⪭NaN=NaN","layer":1},{"info":"⫖↰⪸1940⪨≂⫖↰⪸879=⫖↰⪸2210","layer":3},{"info":"⫖↰⪸94B≳⇉⫖↰⪸2B22=NaN","layer":3},{"info":"⫖↰⪸2210⇤NaN=NaN","layer":2},{"info":"⫖↰⪸4307∙∹∝⫖↰⪸1A5B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸24A6↬⫖↰⪸1689=NaN","layer":3},{"info":"⫖↰⪸0↞⋁NaN=NaN","layer":2},{"info":"NaN⩼⇪↪NaN=NaN","layer":1},{"info":"NaN⩵∡NaN=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"⫯(⫯($2915$⫲≸⪮$2290$⊨(⩩$2678$)))","expression":"⫯(⫯(⫖↰⪸182B⫲≸⪮⫖↰⪸13AA⊨(⩩⫖↰⪸1672)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6634,"operation_count":5,"complexity_ratio":1326.8,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2915,"base":12},"right_expr":{"type":"numeric_atoms","value":2290,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2678,"base":12}}}}},"used_operators":["H6BK1Evt7c","vg4gO5BX6G","P3lXMJvFrc","kMhfGuqI2H"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"⫖↰⪸46256B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2915","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=2290, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2915","layer":3},{"info":"number node, value=2678","layer":4},{"info":"compute unary expreesion, input=2678, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2915, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12691","layer":2},{"info":"compute unary expreesion, input=12691, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-518234","layer":1},{"info":"compute unary expreesion, input=-518234, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=13488036","layer":0}],"base":12,"result_base":12,"text":"⫯(⫯(⫖↰⪸182B⫲≸⪮⫖↰⪸13AA⊨(⩩⫖↰⪸1672)))=⫖↰⪸46256B0","reverse_text":"⫖↰⪸46256B0=⫯(⫯(⫖↰⪸182B⫲≸⪮⫖↰⪸13AA⊨(⩩⫖↰⪸1672)))","cot":[{"info":"⫖↰⪸182B⫲≸⪮⫖↰⪸13AA=⫖↰⪸182B","layer":3},{"info":"⩩⫖↰⪸1672=NaN","layer":3},{"info":"⫖↰⪸182B⊨NaN=⫖↰⪸7417","layer":2},{"info":"⫯⫖↰⪸7417=⫖↰⪸-20BAA2","layer":1},{"info":"⫯⫖↰⪸-20BAA2=⫖↰⪸46256B0","layer":0}]}
{"id":201,"expression_no_base_symbol":"(⊁⨺$3380$)∳⫺$5382$⋹⋡⊁$4376$≝⊿(⪲⇎(⨡↴$3402$))⨓(↨($1141$⫸⊐$7317$)⋥≓≎($7952$⨵⪆$2746$))","expression":"(⊁⨺⫖↰⪸1B58)∳⫺⫖↰⪸3146⋹⋡⊁⫖↰⪸2648≝⊿(⪲⇎(⨡↴⫖↰⪸1B76))⨓(↨(⫖↰⪸7B1⫸⊐⫖↰⪸4299)⋥≓≎(⫖↰⪸4728⨵⪆⫖↰⪸170A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62792,"operation_count":11,"complexity_ratio":5708.363636363636,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":3380,"base":12}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5382,"base":12},"right_expr":{"type":"numeric_atoms","value":4376,"base":12}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3402,"base":12}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1141,"base":12},"right_expr":{"type":"numeric_atoms","value":7317,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7952,"base":12},"right_expr":{"type":"numeric_atoms","value":2746,"base":12}}}}},"used_operators":["3ViojmjbAp","OKKcZfAt5B","AzXXKTstlj","PxiHyQbrIp","As8RqfVLgs","XPYlsWDdGa","liw5iZPkLH","jiX4gk2v2Q","Qy55tPpLXF","mqXw5SEYmG","2DQ55sFlQl"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","12rbrZMWeM","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3380","layer":4},{"info":"compute unary expreesion, input=3380, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=5382","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=5382, right_input=4376, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5126","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5126, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9550","layer":2},{"info":"number node, value=3402","layer":4},{"info":"compute unary expreesion, input=3402, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4451","layer":3},{"info":"compute unary expreesion, input=4451, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8902","layer":2},{"info":"compute binary expreesion, left_input=-9550, right_input=8902, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8787","layer":1},{"info":"number node, value=1141","layer":4},{"info":"number node, value=7317","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=7317, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=29143","layer":3},{"info":"number node, value=7952","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=7952, right_input=2746, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=29143, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-28790","layer":2},{"info":"compute unary expreesion, input=-28790, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8787, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊁⨺⫖↰⪸1B58)∳⫺⫖↰⪸3146⋹⋡⊁⫖↰⪸2648≝⊿(⪲⇎(⨡↴⫖↰⪸1B76))⨓(↨(⫖↰⪸7B1⫸⊐⫖↰⪸4299)⋥≓≎(⫖↰⪸4728⨵⪆⫖↰⪸170A))=NaN","reverse_text":"NaN=(⊁⨺⫖↰⪸1B58)∳⫺⫖↰⪸3146⋹⋡⊁⫖↰⪸2648≝⊿(⪲⇎(⨡↴⫖↰⪸1B76))⨓(↨(⫖↰⪸7B1⫸⊐⫖↰⪸4299)⋥≓≎(⫖↰⪸4728⨵⪆⫖↰⪸170A))","cot":[{"info":"⊁⨺⫖↰⪸1B58=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3146⋹⋡⊁⫖↰⪸2648=⫖↰⪸2B72","layer":3},{"info":"⫖↰⪸114∳⫺⫖↰⪸2B72=⫖↰⪸-563A","layer":2},{"info":"⨡↴⫖↰⪸1B76=⫖↰⪸26AB","layer":3},{"info":"⪲⇎⫖↰⪸26AB=⫖↰⪸519A","layer":2},{"info":"⫖↰⪸-563A≝⊿⫖↰⪸519A=⫖↰⪸-5103","layer":1},{"info":"⫖↰⪸7B1⫸⊐⫖↰⪸4299=⫖↰⪸14A47","layer":3},{"info":"⫖↰⪸4728⨵⪆⫖↰⪸170A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸14A47⋥≓≎⫖↰⪸114=⫖↰⪸-147B2","layer":2},{"info":"↨⫖↰⪸-147B2=NaN","layer":1},{"info":"⫖↰⪸-5103⨓NaN=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"⊖$1733$⨑⩅≇$5973$⫯⪬∳(⇠$1075$)⫲≸⪮($1542$⫰⋱$1644$⪒($1137$⊹≧⊝))","expression":"⊖⫖↰⪸1005⨑⩅≇⫖↰⪸3559⫯⪬∳(⇠⫖↰⪸757)⫲≸⪮(⫖↰⪸A86⫰⋱⫖↰⪸B50⪒(⫖↰⪸7A9⊹≧⊝))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21209,"operation_count":8,"complexity_ratio":2651.125,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1733,"base":12},"right_expr":{"type":"numeric_atoms","value":5973,"base":12}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1075,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1542,"base":12},"right_expr":{"type":"numeric_atoms","value":1644,"base":12}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1137,"base":12}}}}},"used_operators":["U6pG0PXrV3","P3lXMJvFrc","d7ASUq0ydm","h92wMvzauj","18saOjeKKm","f6k1SAg4EE","6o9Blt3TJ6","LxFB4K6j0n"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1733","layer":4},{"info":"number node, value=5973","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=5973, 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=-5199","layer":3},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-833","layer":3},{"info":"compute binary expreesion, left_input=-5199, right_input=-833, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=15124","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1644, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1509","layer":3},{"info":"number node, value=1137","layer":4},{"info":"compute unary expreesion, input=1137, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-4548","layer":3},{"info":"compute binary expreesion, left_input=-1509, right_input=-4548, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=6057","layer":2},{"info":"compute binary expreesion, left_input=15124, right_input=6057, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=15124","layer":1},{"info":"compute unary expreesion, input=15124, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊖⫖↰⪸1005⨑⩅≇⫖↰⪸3559⫯⪬∳(⇠⫖↰⪸757)⫲≸⪮(⫖↰⪸A86⫰⋱⫖↰⪸B50⪒(⫖↰⪸7A9⊹≧⊝))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊖⫖↰⪸1005⨑⩅≇⫖↰⪸3559⫯⪬∳(⇠⫖↰⪸757)⫲≸⪮(⫖↰⪸A86⫰⋱⫖↰⪸B50⪒(⫖↰⪸7A9⊹≧⊝))","cot":[{"info":"⫖↰⪸1005⨑⩅≇⫖↰⪸3559=⫖↰⪸-3013","layer":3},{"info":"⇠⫖↰⪸757=⫖↰⪸-595","layer":3},{"info":"⫖↰⪸-3013⫯⪬∳⫖↰⪸-595=⫖↰⪸8904","layer":2},{"info":"⫖↰⪸A86⫰⋱⫖↰⪸B50=⫖↰⪸-A59","layer":3},{"info":"⫖↰⪸7A9⊹≧⊝=⫖↰⪸-2770","layer":3},{"info":"⫖↰⪸-A59⪒⫖↰⪸-2770=⫖↰⪸3609","layer":2},{"info":"⫖↰⪸8904⫲≸⪮⫖↰⪸3609=⫖↰⪸8904","layer":1},{"info":"⊖⫖↰⪸8904=⫖↰⪸0","layer":0}]}
{"id":203,"expression_no_base_symbol":"(⇾⩊⇾($6087$⊬⫿⊭))⨼⩣($7915$⩌⋺$5711$⇄($2731$⩵∡$1596$))⊔(((⇖$2600$)⫚↹⊑(⇁⨣⪵$1064$))∙∹∝(+⊝⨔$2438$)⪭(⊥$3991$))","expression":"(⇾⩊⇾(⫖↰⪸3633⊬⫿⊭))⨼⩣(⫖↰⪸46B7⩌⋺⫖↰⪸337B⇄(⫖↰⪸16B7⩵∡⫖↰⪸B10))⊔(((⇖⫖↰⪸1608)⫚↹⊑(⇁⨣⪵⫖↰⪸748))∙∹∝(+⊝⨔⫖↰⪸14B2)⪭(⊥⫖↰⪸2387))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1028,"operation_count":14,"complexity_ratio":73.42857142857143,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":6087,"base":12}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":7915,"base":12},"right_expr":{"type":"numeric_atoms","value":5711,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2731,"base":12},"right_expr":{"type":"numeric_atoms","value":1596,"base":12}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2600,"base":12}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1064,"base":12}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2438,"base":12}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3991,"base":12}}}}},"used_operators":["E4l6HwMY31","JxwMv5le6e","bx9Z9DAK5y","v0DYgG9ikt","3EYGwJThht","g7Hmc5v1ko","Y7wcNGrDQJ","HmxsFra2vL","dfKe02y8D2","tfWHHpNKUN","inkyxCbjAn","j9kHMeSvPp","DhbWaqg5eL","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","2DQ55sFlQl","B5M0gjZbta","COABgblf1C","xUOZtlo3hN","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6087","layer":4},{"info":"compute unary expreesion, input=6087, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-18261","layer":3},{"info":"compute unary expreesion, input=-18261, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=157863","layer":2},{"info":"number node, value=7915","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=7915, right_input=5711, 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=-13747","layer":3},{"info":"number node, value=2731","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=1596, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3987","layer":3},{"info":"compute binary expreesion, left_input=-13747, right_input=-3987, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=157863, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=2600","layer":4},{"info":"compute unary expreesion, input=2600, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2438","layer":4},{"info":"compute unary expreesion, input=2438, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=3991","layer":4},{"info":"compute unary expreesion, input=3991, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, 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 = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇾⩊⇾(⫖↰⪸3633⊬⫿⊭))⨼⩣(⫖↰⪸46B7⩌⋺⫖↰⪸337B⇄(⫖↰⪸16B7⩵∡⫖↰⪸B10))⊔(((⇖⫖↰⪸1608)⫚↹⊑(⇁⨣⪵⫖↰⪸748))∙∹∝(+⊝⨔⫖↰⪸14B2)⪭(⊥⫖↰⪸2387))=NaN","reverse_text":"NaN=(⇾⩊⇾(⫖↰⪸3633⊬⫿⊭))⨼⩣(⫖↰⪸46B7⩌⋺⫖↰⪸337B⇄(⫖↰⪸16B7⩵∡⫖↰⪸B10))⊔(((⇖⫖↰⪸1608)⫚↹⊑(⇁⨣⪵⫖↰⪸748))∙∹∝(+⊝⨔⫖↰⪸14B2)⪭(⊥⫖↰⪸2387))","cot":[{"info":"⫖↰⪸3633⊬⫿⊭=⫖↰⪸-A699","layer":3},{"info":"⇾⩊⇾⫖↰⪸-A699=⫖↰⪸77433","layer":2},{"info":"⫖↰⪸46B7⩌⋺⫖↰⪸337B=⫖↰⪸-7B57","layer":3},{"info":"⫖↰⪸16B7⩵∡⫖↰⪸B10=⫖↰⪸-2383","layer":3},{"info":"⫖↰⪸-7B57⇄⫖↰⪸-2383=⫖↰⪸0","layer":2},{"info":"⫖↰⪸77433⨼⩣⫖↰⪸0=NaN","layer":1},{"info":"⇖⫖↰⪸1608=⫖↰⪸114","layer":3},{"info":"⇁⨣⪵⫖↰⪸748=NaN","layer":3},{"info":"⫖↰⪸114⫚↹⊑NaN=⫖↰⪸-313","layer":2},{"info":"+⊝⨔⫖↰⪸14B2=⫖↰⪸A6A","layer":3},{"info":"⊥⫖↰⪸2387=NaN","layer":3},{"info":"⫖↰⪸A6A⪭NaN=NaN","layer":2},{"info":"⫖↰⪸-313∙∹∝NaN=⫖↰⪸0","layer":1},{"info":"NaN⊔⫖↰⪸0=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"(⪲⇎($1815$⪍↜⋙$3773$)≝⊿($5816$⪃↞⩐))∝($1281$≎⪠$1013$⨫⇇↔$5446$⋛$1875$)↹⊜($2023$∺≝⩲$1469$⨱∎)","expression":"(⪲⇎(⫖↰⪸1073⪍↜⋙⫖↰⪸2225)≝⊿(⫖↰⪸3448⪃↞⩐))∝(⫖↰⪸8A9≎⪠⫖↰⪸705⨫⇇↔⫖↰⪸319A⋛⫖↰⪸1103)↹⊜(⫖↰⪸1207∺≝⩲⫖↰⪸A25⨱∎)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20176,"operation_count":11,"complexity_ratio":1834.1818181818182,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1815,"base":12},"right_expr":{"type":"numeric_atoms","value":3773,"base":12}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":5816,"base":12}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1281,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5446,"base":12},"right_expr":{"type":"numeric_atoms","value":1875,"base":12}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2023,"base":12},"right_expr":{"type":"numeric_atoms","value":1469,"base":12}}}}},"used_operators":["cTDWOvIxvz","XPYlsWDdGa","OKKcZfAt5B","L05ObWFQCd","grXIztHqDa","9bazX3JMtO","LXhwmt4mBO","aNhz54LH3e","YbUVn0Rbpy","MmTdOpaElr","KPf6cnQVty"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","tifHPKVTfV","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫖↰⪸-51B59","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1815","layer":4},{"info":"number node, value=3773","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=3773, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-17404","layer":3},{"info":"number node, value=5816","layer":4},{"info":"compute unary expreesion, input=5816, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=35202","layer":3},{"info":"compute binary expreesion, left_input=-17404, right_input=35202, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-53533","layer":2},{"info":"compute unary expreesion, input=-53533, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-107066","layer":1},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1013, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=5446","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=5446, right_input=1875, 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=-83178","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-83178, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=2023","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=1469, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-96","layer":1},{"info":"compute binary expreesion, left_input=-107066, right_input=-96, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-107061","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎(⫖↰⪸1073⪍↜⋙⫖↰⪸2225)≝⊿(⫖↰⪸3448⪃↞⩐))∝(⫖↰⪸8A9≎⪠⫖↰⪸705⨫⇇↔⫖↰⪸319A⋛⫖↰⪸1103)↹⊜(⫖↰⪸1207∺≝⩲⫖↰⪸A25⨱∎)=⫖↰⪸-51B59","reverse_text":"⫖↰⪸-51B59=(⪲⇎(⫖↰⪸1073⪍↜⋙⫖↰⪸2225)≝⊿(⫖↰⪸3448⪃↞⩐))∝(⫖↰⪸8A9≎⪠⫖↰⪸705⨫⇇↔⫖↰⪸319A⋛⫖↰⪸1103)↹⊜(⫖↰⪸1207∺≝⩲⫖↰⪸A25⨱∎)","cot":[{"info":"⫖↰⪸1073⪍↜⋙⫖↰⪸2225=⫖↰⪸-A0A4","layer":3},{"info":"⫖↰⪸3448⪃↞⩐=⫖↰⪸18456","layer":3},{"info":"⫖↰⪸-A0A4≝⊿⫖↰⪸18456=⫖↰⪸-26B91","layer":2},{"info":"⪲⇎⫖↰⪸-26B91=⫖↰⪸-51B62","layer":1},{"info":"⫖↰⪸8A9≎⪠⫖↰⪸705=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸319A⋛⫖↰⪸1103=⫖↰⪸-40176","layer":3},{"info":"⫖↰⪸B39A⨫⇇↔⫖↰⪸-40176=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸1207∺≝⩲⫖↰⪸A25=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⨱∎=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-37B↹⊜⫖↰⪸0=⫖↰⪸-80","layer":1},{"info":"⫖↰⪸-51B62∝⫖↰⪸-80=⫖↰⪸-51B59","layer":0}]}
{"id":205,"expression_no_base_symbol":"((⇙⪊(⩷$4116$))≃($1114$⩺⪪$2194$)↬($8942$/$1873$))⪒⊣⊆(($2333$⨽$6432$)⊕∕($1600$⋭≵$3550$)⪒⊣⊆($5411$⩣⫁∢$6710$≹⇙⪍(⊆⋠$5098$)))","expression":"((⇙⪊(⩷⫖↰⪸2470))≃(⫖↰⪸78A⩺⪪⫖↰⪸132A)↬(⫖↰⪸5212/⫖↰⪸1101))⪒⊣⊆((⫖↰⪸1425⨽⫖↰⪸3880)⊕∕(⫖↰⪸B14⋭≵⫖↰⪸207A)⪒⊣⊆(⫖↰⪸316B⩣⫁∢⫖↰⪸3A72≹⇙⪍(⊆⋠⫖↰⪸2B4A)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2621,"operation_count":14,"complexity_ratio":187.21428571428572,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4116,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1114,"base":12},"right_expr":{"type":"numeric_atoms","value":2194,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":8942,"base":12},"right_expr":{"type":"numeric_atoms","value":1873,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2333,"base":12},"right_expr":{"type":"numeric_atoms","value":6432,"base":12}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1600,"base":12},"right_expr":{"type":"numeric_atoms","value":3550,"base":12}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5411,"base":12},"right_expr":{"type":"numeric_atoms","value":6710,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5098,"base":12}}}}},"used_operators":["eRqsBgTDFp","YbVcJGFEVW","pB6Fcnrjim","1h0rLqGiFr","B5M0gjZbta","uvdQJvN4PV","XhwjNDsVaA","9cloC0Ngie","8HhzD0ZcuI","jBncVCNhdl","AHs5Up7iyr","JDUIKTTSIa","EBhcHTkKd8"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rGHVDoGpnC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4116","layer":4},{"info":"compute unary expreesion, input=4116, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-49471","layer":3},{"info":"compute unary expreesion, input=-49471, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2194, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=8942","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=8942, right_input=1873, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=4, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"number node, value=2333","layer":4},{"info":"number node, value=6432","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=6432, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16346649","layer":3},{"info":"number node, value=1600","layer":4},{"info":"number node, value=3550","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=3550, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-16346649, right_input=67, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-16346649","layer":2},{"info":"number node, value=5411","layer":4},{"info":"number node, value=6710","layer":4},{"info":"compute binary expreesion, left_input=5411, right_input=6710, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10661","layer":3},{"info":"number node, value=5098","layer":4},{"info":"compute unary expreesion, input=5098, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10661, 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=-10661","layer":2},{"info":"compute binary expreesion, left_input=-16346649, right_input=-10661, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=32672078","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=32672078, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇙⪊(⩷⫖↰⪸2470))≃(⫖↰⪸78A⩺⪪⫖↰⪸132A)↬(⫖↰⪸5212/⫖↰⪸1101))⪒⊣⊆((⫖↰⪸1425⨽⫖↰⪸3880)⊕∕(⫖↰⪸B14⋭≵⫖↰⪸207A)⪒⊣⊆(⫖↰⪸316B⩣⫁∢⫖↰⪸3A72≹⇙⪍(⊆⋠⫖↰⪸2B4A)))=NaN","reverse_text":"NaN=((⇙⪊(⩷⫖↰⪸2470))≃(⫖↰⪸78A⩺⪪⫖↰⪸132A)↬(⫖↰⪸5212/⫖↰⪸1101))⪒⊣⊆((⫖↰⪸1425⨽⫖↰⪸3880)⊕∕(⫖↰⪸B14⋭≵⫖↰⪸207A)⪒⊣⊆(⫖↰⪸316B⩣⫁∢⫖↰⪸3A72≹⇙⪍(⊆⋠⫖↰⪸2B4A)))","cot":[{"info":"⩷⫖↰⪸2470=⫖↰⪸-24767","layer":3},{"info":"⇙⪊⫖↰⪸-24767=⫖↰⪸0","layer":2},{"info":"⫖↰⪸78A⩺⪪⫖↰⪸132A=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸5212/⫖↰⪸1101=⫖↰⪸4","layer":3},{"info":"⫖↰⪸-1076↬⫖↰⪸4=NaN","layer":2},{"info":"⫖↰⪸0≃NaN=NaN","layer":1},{"info":"⫖↰⪸1425⨽⫖↰⪸3880=⫖↰⪸-5583A49","layer":3},{"info":"⫖↰⪸B14⋭≵⫖↰⪸207A=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-5583A49⊕∕⫖↰⪸57=⫖↰⪸-5583A49","layer":2},{"info":"⫖↰⪸316B⩣⫁∢⫖↰⪸3A72=⫖↰⪸-6205","layer":3},{"info":"⊆⋠⫖↰⪸2B4A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-6205≹⇙⪍⫖↰⪸0=⫖↰⪸-6205","layer":2},{"info":"⫖↰⪸-5583A49⪒⊣⊆⫖↰⪸-6205=⫖↰⪸AB37552","layer":1},{"info":"NaN⪒⊣⊆⫖↰⪸AB37552=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"(⇋↷($1264$⊉↱≁$1338$⪔$1342$⊢$2154$))∛((⩦⩻⨪($2152$∙⊟$4134$))⪁$2013$⩷∴$2424$⫦⪉($2511$∀⊥⇻))","expression":"(⇋↷(⫖↰⪸894⊉↱≁⫖↰⪸936⪔⫖↰⪸93A⊢⫖↰⪸12B6))∛((⩦⩻⨪(⫖↰⪸12B4∙⊟⫖↰⪸2486))⪁⫖↰⪸11B9⩷∴⫖↰⪸14A0⫦⪉(⫖↰⪸1553∀⊥⇻))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":400620297,"operation_count":11,"complexity_ratio":36420027.0,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1264,"base":12},"right_expr":{"type":"numeric_atoms","value":1338,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1342,"base":12},"right_expr":{"type":"numeric_atoms","value":2154,"base":12}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2152,"base":12},"right_expr":{"type":"numeric_atoms","value":4134,"base":12}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2013,"base":12},"right_expr":{"type":"numeric_atoms","value":2424,"base":12}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":2511,"base":12}}}}},"used_operators":["w2537kitQq","SWo3A1KBJH","GjBEYRfMaF","w2P8NbNXyL","5twsqlHp2o","I7sXao9hZE","2td37pGCOC","SxTAKzQCrw","wscyQdcy20","9FxExcQeMw","k4iM1060OG"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1264","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1338, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=4560","layer":3},{"info":"number node, value=1342","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2154, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2928","layer":3},{"info":"compute binary expreesion, left_input=4560, right_input=-2928, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=3600","layer":1},{"info":"number node, value=2152","layer":4},{"info":"number node, value=4134","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=4134, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=37822","layer":3},{"info":"compute unary expreesion, input=37822, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=37822","layer":2},{"info":"number node, value=2013","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=2424, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-854","layer":3},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-854, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=5546","layer":2},{"info":"compute binary expreesion, left_input=37822, right_input=5546, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3600, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⇋↷(⫖↰⪸894⊉↱≁⫖↰⪸936⪔⫖↰⪸93A⊢⫖↰⪸12B6))∛((⩦⩻⨪(⫖↰⪸12B4∙⊟⫖↰⪸2486))⪁⫖↰⪸11B9⩷∴⫖↰⪸14A0⫦⪉(⫖↰⪸1553∀⊥⇻))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⇋↷(⫖↰⪸894⊉↱≁⫖↰⪸936⪔⫖↰⪸93A⊢⫖↰⪸12B6))∛((⩦⩻⨪(⫖↰⪸12B4∙⊟⫖↰⪸2486))⪁⫖↰⪸11B9⩷∴⫖↰⪸14A0⫦⪉(⫖↰⪸1553∀⊥⇻))","cot":[{"info":"⫖↰⪸894⊉↱≁⫖↰⪸936=⫖↰⪸2780","layer":3},{"info":"⫖↰⪸93A⊢⫖↰⪸12B6=⫖↰⪸-1840","layer":3},{"info":"⫖↰⪸2780⪔⫖↰⪸-1840=⫖↰⪸316","layer":2},{"info":"⇋↷⫖↰⪸316=⫖↰⪸2100","layer":1},{"info":"⫖↰⪸12B4∙⊟⫖↰⪸2486=⫖↰⪸19A7A","layer":3},{"info":"⩦⩻⨪⫖↰⪸19A7A=⫖↰⪸19A7A","layer":2},{"info":"⫖↰⪸11B9⩷∴⫖↰⪸14A0=⫖↰⪸-5B2","layer":3},{"info":"⫖↰⪸1553∀⊥⇻=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-5B2⫦⪉⫖↰⪸0=⫖↰⪸3262","layer":2},{"info":"⫖↰⪸19A7A⪁⫖↰⪸3262=NaN","layer":1},{"info":"⫖↰⪸2100∛NaN=⫖↰⪸57","layer":0}]}
{"id":207,"expression_no_base_symbol":"(($7110$↰)⩅⪻⪻)⨫⇇↔($8509$∊∟⩊$1139$⪨≂(⋼∭⪍$5971$))⩠","expression":"((⫖↰⪸4146↰)⩅⪻⪻)⨫⇇↔(⫖↰⪸4B11∊∟⩊⫖↰⪸7AB⪨≂(⋼∭⪍⫖↰⪸3557))⩠","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":181,"operation_count":7,"complexity_ratio":25.857142857142858,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":7110,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":8509,"base":12},"right_expr":{"type":"numeric_atoms","value":1139,"base":12}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5971,"base":12}}}}},"used_operators":["sJAwomhLZr","LXhwmt4mBO","kHoXpA7yos","bl5wxAcryP","sdazOOVcIp","ddLRYrp01A","DbCuESL50I"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","nCS4ZIUYfx","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"⫖↰⪸1411","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7110","layer":4},{"info":"compute unary expreesion, input=7110, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=7009","layer":3},{"info":"compute unary expreesion, input=7009, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-1036757","layer":2},{"info":"number node, value=8509","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=8509, right_input=1139, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1139","layer":3},{"info":"number node, value=5971","layer":4},{"info":"compute unary expreesion, input=5971, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-22144","layer":3},{"info":"compute binary expreesion, left_input=1139, right_input=-22144, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=46668","layer":2},{"info":"compute binary expreesion, left_input=-1036757, right_input=46668, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=2317","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4146↰)⩅⪻⪻)⨫⇇↔(⫖↰⪸4B11∊∟⩊⫖↰⪸7AB⪨≂(⋼∭⪍⫖↰⪸3557))⩠=⫖↰⪸1411","reverse_text":"⫖↰⪸1411=((⫖↰⪸4146↰)⩅⪻⪻)⨫⇇↔(⫖↰⪸4B11∊∟⩊⫖↰⪸7AB⪨≂(⋼∭⪍⫖↰⪸3557))⩠","cot":[{"info":"⫖↰⪸4146↰=⫖↰⪸4081","layer":3},{"info":"⫖↰⪸4081⩅⪻⪻=⫖↰⪸-41BB85","layer":2},{"info":"⫖↰⪸4B11∊∟⩊⫖↰⪸7AB=⫖↰⪸7AB","layer":3},{"info":"⋼∭⪍⫖↰⪸3557=⫖↰⪸-10994","layer":3},{"info":"⫖↰⪸7AB⪨≂⫖↰⪸-10994=⫖↰⪸23010","layer":2},{"info":"⫖↰⪸-41BB85⨫⇇↔⫖↰⪸23010=⫖↰⪸-37B","layer":1},{"info":"⫖↰⪸-37B⩠=⫖↰⪸1411","layer":0}]}
{"id":208,"expression_no_base_symbol":"($1385$↳≱$5794$⊹∫⫚($2402$⊹∫⫚$1199$)∷)⪁(⇖($2467$⇷$1791$))∌↝($3453$⩇∃⫛$1038$)≦↸(⋣$2052$)","expression":"(⫖↰⪸975↳≱⫖↰⪸342A⊹∫⫚(⫖↰⪸1482⊹∫⫚⫖↰⪸83B)∷)⪁(⇖(⫖↰⪸1517⇷⫖↰⪸1053))∌↝(⫖↰⪸1BB9⩇∃⫛⫖↰⪸726)≦↸(⋣⫖↰⪸1230)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43454,"operation_count":11,"complexity_ratio":3950.3636363636365,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1385,"base":12},"right_expr":{"type":"numeric_atoms","value":5794,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2402,"base":12},"right_expr":{"type":"numeric_atoms","value":1199,"base":12}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2467,"base":12},"right_expr":{"type":"numeric_atoms","value":1791,"base":12}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3453,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2052,"base":12}}}}},"used_operators":["I7sXao9hZE","nFAOW8KTqp","uWAJUKEvyW","JwTKLfZU96","9Isq31Ruls","tfWHHpNKUN","mp7IySMOzn","RygbFNSyEJ","1aApVXNlOP","zQWRhDnn8F"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","2DQ55sFlQl","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":4},{"info":"number node, value=5794","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=5794, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2402","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=1199, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-352","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-352, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-220","layer":2},{"info":"compute unary expreesion, input=-220, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-660","layer":1},{"info":"number node, value=2467","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1791, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3582","layer":3},{"info":"compute unary expreesion, input=3582, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=3453","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=1038, 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=-1942","layer":3},{"info":"number node, value=2052","layer":4},{"info":"compute unary expreesion, input=2052, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-603193","layer":3},{"info":"compute binary expreesion, left_input=-1942, right_input=-603193, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=2623","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2623, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-7869","layer":1},{"info":"compute binary expreesion, left_input=-660, right_input=-7869, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸975↳≱⫖↰⪸342A⊹∫⫚(⫖↰⪸1482⊹∫⫚⫖↰⪸83B)∷)⪁(⇖(⫖↰⪸1517⇷⫖↰⪸1053))∌↝(⫖↰⪸1BB9⩇∃⫛⫖↰⪸726)≦↸(⋣⫖↰⪸1230)=NaN","reverse_text":"NaN=(⫖↰⪸975↳≱⫖↰⪸342A⊹∫⫚(⫖↰⪸1482⊹∫⫚⫖↰⪸83B)∷)⪁(⇖(⫖↰⪸1517⇷⫖↰⪸1053))∌↝(⫖↰⪸1BB9⩇∃⫛⫖↰⪸726)≦↸(⋣⫖↰⪸1230)","cot":[{"info":"⫖↰⪸975↳≱⫖↰⪸342A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1482⊹∫⫚⫖↰⪸83B=⫖↰⪸-254","layer":3},{"info":"⫖↰⪸0⊹∫⫚⫖↰⪸-254=⫖↰⪸-164","layer":2},{"info":"⫖↰⪸-164∷=⫖↰⪸-470","layer":1},{"info":"⫖↰⪸1517⇷⫖↰⪸1053=⫖↰⪸20A6","layer":3},{"info":"⇖⫖↰⪸20A6=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1BB9⩇∃⫛⫖↰⪸726=⫖↰⪸-115A","layer":3},{"info":"⋣⫖↰⪸1230=⫖↰⪸-2510A1","layer":3},{"info":"⫖↰⪸-115A≦↸⫖↰⪸-2510A1=⫖↰⪸1627","layer":2},{"info":"⫖↰⪸114∌↝⫖↰⪸1627=⫖↰⪸-4679","layer":1},{"info":"⫖↰⪸-470⪁⫖↰⪸-4679=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"⩦⊞(($5873$⋹⋡⊁$2288$-($2993$⩢≌))⇮⋭($3854$↼⊘⨖$1842$⪨≂$2571$⫌⩉⩟$3736$))","expression":"⩦⊞((⫖↰⪸3495⋹⋡⊁⫖↰⪸13A8-(⫖↰⪸1895⩢≌))⇮⋭(⫖↰⪸2292↼⊘⨖⫖↰⪸1096⪨≂⫖↰⪸15A3⫌⩉⩟⫖↰⪸21B4))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":87720,"operation_count":8,"complexity_ratio":10965.0,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5873,"base":12},"right_expr":{"type":"numeric_atoms","value":2288,"base":12}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2993,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3854,"base":12},"right_expr":{"type":"numeric_atoms","value":1842,"base":12}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2571,"base":12},"right_expr":{"type":"numeric_atoms","value":3736,"base":12}}}}},"used_operators":["u7fv1HBiaC","vkpjKywKVM","rysDP5nf3Z","As8RqfVLgs","D617RFjZIq","sdazOOVcIp","bPywburJMS","XIIwhv8d0m"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","hTbEZDJLEm","o20kRiQErp","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⫖↰⪸-6B6","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5873","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=5873, right_input=2288, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3038","layer":3},{"info":"number node, value=2993","layer":4},{"info":"compute unary expreesion, input=2993, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=3038, right_input=113, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2925","layer":2},{"info":"number node, value=3854","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=3854, right_input=1842, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3462","layer":3},{"info":"number node, value=2571","layer":4},{"info":"number node, value=3736","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=3736, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=3462, right_input=-50, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7126","layer":2},{"info":"compute binary expreesion, left_input=2925, right_input=7126, 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 = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1002","layer":0}],"base":12,"result_base":12,"text":"⩦⊞((⫖↰⪸3495⋹⋡⊁⫖↰⪸13A8-(⫖↰⪸1895⩢≌))⇮⋭(⫖↰⪸2292↼⊘⨖⫖↰⪸1096⪨≂⫖↰⪸15A3⫌⩉⩟⫖↰⪸21B4))=⫖↰⪸-6B6","reverse_text":"⫖↰⪸-6B6=⩦⊞((⫖↰⪸3495⋹⋡⊁⫖↰⪸13A8-(⫖↰⪸1895⩢≌))⇮⋭(⫖↰⪸2292↼⊘⨖⫖↰⪸1096⪨≂⫖↰⪸15A3⫌⩉⩟⫖↰⪸21B4))","cot":[{"info":"⫖↰⪸3495⋹⋡⊁⫖↰⪸13A8=⫖↰⪸1912","layer":3},{"info":"⫖↰⪸1895⩢≌=⫖↰⪸95","layer":3},{"info":"⫖↰⪸1912-⫖↰⪸95=⫖↰⪸1839","layer":2},{"info":"⫖↰⪸2292↼⊘⨖⫖↰⪸1096=⫖↰⪸2006","layer":3},{"info":"⫖↰⪸15A3⫌⩉⩟⫖↰⪸21B4=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸2006⪨≂⫖↰⪸-42=⫖↰⪸415A","layer":2},{"info":"⫖↰⪸1839⇮⋭⫖↰⪸415A=⫖↰⪸-335","layer":1},{"info":"⩦⊞⫖↰⪸-335=⫖↰⪸-6B6","layer":0}]}
{"id":210,"expression_no_base_symbol":"($3032$⨒$4000$≬⋮(⊲⪭$6793$))∠↢(($3285$⫌⩉⩟$1927$)⊭↱$1111$∙⊟$1186$)∠⫱(($1587$⫃⨇$4511$)⪎↠($3986$⫡⨏$8945$)≓∲$1688$≌$5587$⨽∌($3747$⋳⪒$3484$))","expression":"(⫖↰⪸1908⨒⫖↰⪸2394≬⋮(⊲⪭⫖↰⪸3B21))∠↢((⫖↰⪸1A99⫌⩉⩟⫖↰⪸1147)⊭↱⫖↰⪸787∙⊟⫖↰⪸82A)∠⫱((⫖↰⪸B03⫃⨇⫖↰⪸273B)⪎↠(⫖↰⪸2382⫡⨏⫖↰⪸5215)≓∲⫖↰⪸B88≌⫖↰⪸3297⨽∌(⫖↰⪸2203⋳⪒⫖↰⪸2024))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16445,"operation_count":15,"complexity_ratio":1096.3333333333333,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3032,"base":12},"right_expr":{"type":"numeric_atoms","value":4000,"base":12}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":6793,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3285,"base":12},"right_expr":{"type":"numeric_atoms","value":1927,"base":12}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1111,"base":12},"right_expr":{"type":"numeric_atoms","value":1186,"base":12}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1587,"base":12},"right_expr":{"type":"numeric_atoms","value":4511,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3986,"base":12},"right_expr":{"type":"numeric_atoms","value":8945,"base":12}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1688,"base":12},"right_expr":{"type":"numeric_atoms","value":5587,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3747,"base":12},"right_expr":{"type":"numeric_atoms","value":3484,"base":12}}}}},"used_operators":["QvoQhV0rrE","KbjG8mgYpV","kbkesczE7y","y75s1iXyHd","k7HXdKtiEU","COABgblf1C","XIIwhv8d0m","SxTAKzQCrw","s1XTVnmDOJ","3tVxb0NHM4","09Ly4LVMIf","QMFrweE19q","9samAPKr6k","lyWz822IDG","12rbrZMWeM"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3032","layer":4},{"info":"number node, value=4000","layer":4},{"info":"compute binary expreesion, left_input=3032, right_input=4000, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-17820","layer":3},{"info":"number node, value=6793","layer":4},{"info":"compute unary expreesion, input=6793, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6967","layer":3},{"info":"compute binary expreesion, left_input=-17820, right_input=-6967, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3285","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=3285, right_input=1927, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1186, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24289","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=24289, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=48683","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=48683, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-683952","layer":1},{"info":"number node, value=1587","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=4511, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-18076","layer":3},{"info":"number node, value=3986","layer":4},{"info":"number node, value=8945","layer":4},{"info":"compute binary expreesion, left_input=3986, right_input=8945, 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=38603","layer":3},{"info":"compute binary expreesion, left_input=-18076, right_input=38603, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"number node, value=1688","layer":4},{"info":"number node, value=5587","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=5587, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=3747","layer":4},{"info":"number node, value=3484","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=3484, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3723","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3723, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=1738","layer":1},{"info":"compute binary expreesion, left_input=-683952, right_input=1738, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1908⨒⫖↰⪸2394≬⋮(⊲⪭⫖↰⪸3B21))∠↢((⫖↰⪸1A99⫌⩉⩟⫖↰⪸1147)⊭↱⫖↰⪸787∙⊟⫖↰⪸82A)∠⫱((⫖↰⪸B03⫃⨇⫖↰⪸273B)⪎↠(⫖↰⪸2382⫡⨏⫖↰⪸5215)≓∲⫖↰⪸B88≌⫖↰⪸3297⨽∌(⫖↰⪸2203⋳⪒⫖↰⪸2024))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(⫖↰⪸1908⨒⫖↰⪸2394≬⋮(⊲⪭⫖↰⪸3B21))∠↢((⫖↰⪸1A99⫌⩉⩟⫖↰⪸1147)⊭↱⫖↰⪸787∙⊟⫖↰⪸82A)∠⫱((⫖↰⪸B03⫃⨇⫖↰⪸273B)⪎↠(⫖↰⪸2382⫡⨏⫖↰⪸5215)≓∲⫖↰⪸B88≌⫖↰⪸3297⨽∌(⫖↰⪸2203⋳⪒⫖↰⪸2024))","cot":[{"info":"⫖↰⪸1908⨒⫖↰⪸2394=⫖↰⪸-A390","layer":3},{"info":"⊲⪭⫖↰⪸3B21=⫖↰⪸-4047","layer":3},{"info":"⫖↰⪸-A390≬⋮⫖↰⪸-4047=⫖↰⪸604","layer":2},{"info":"⫖↰⪸1A99⫌⩉⩟⫖↰⪸1147=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸787∙⊟⫖↰⪸82A=⫖↰⪸12081","layer":3},{"info":"⫖↰⪸-42⊭↱⫖↰⪸12081=⫖↰⪸2420B","layer":2},{"info":"⫖↰⪸604∠↢⫖↰⪸2420B=⫖↰⪸-28B980","layer":1},{"info":"⫖↰⪸B03⫃⨇⫖↰⪸273B=⫖↰⪸-A564","layer":3},{"info":"⫖↰⪸2382⫡⨏⫖↰⪸5215=⫖↰⪸1A40B","layer":3},{"info":"⫖↰⪸-A564⪎↠⫖↰⪸1A40B=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸B88≌⫖↰⪸3297=NaN","layer":3},{"info":"⫖↰⪸2203⋳⪒⫖↰⪸2024=⫖↰⪸21A3","layer":3},{"info":"NaN⨽∌⫖↰⪸21A3=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-47≓∲⫖↰⪸0=⫖↰⪸100A","layer":1},{"info":"⫖↰⪸-28B980∠⫱⫖↰⪸100A=⫖↰⪸86A","layer":0}]}
{"id":211,"expression_no_base_symbol":"((⫎≠⋺$1709$)⊹∫⫚$1372$⫁$3960$)∌($2060$⨥⫆$3595$∀⇚≩($5132$⨔≚≋$1608$))⩷∴($7338$⊔$2086$)≝⊿($2579$∝$1122$)∣($2160$⨚$2549$⇣⩺⋵($2632$⋝⋈⪟$2457$))","expression":"((⫎≠⋺⫖↰⪸BA5)⊹∫⫚⫖↰⪸964⫁⫖↰⪸2360)∌(⫖↰⪸1238⨥⫆⫖↰⪸20B7∀⇚≩(⫖↰⪸2B78⨔≚≋⫖↰⪸B20))⩷∴(⫖↰⪸42B6⊔⫖↰⪸125A)≝⊿(⫖↰⪸15AB∝⫖↰⪸796)∣(⫖↰⪸1300⨚⫖↰⪸1585⇣⩺⋵(⫖↰⪸1634⋝⋈⪟⫖↰⪸1509))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49764,"operation_count":15,"complexity_ratio":3317.6,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1709,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1372,"base":12},"right_expr":{"type":"numeric_atoms","value":3960,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2060,"base":12},"right_expr":{"type":"numeric_atoms","value":3595,"base":12}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5132,"base":12},"right_expr":{"type":"numeric_atoms","value":1608,"base":12}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":7338,"base":12},"right_expr":{"type":"numeric_atoms","value":2086,"base":12}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2579,"base":12},"right_expr":{"type":"numeric_atoms","value":1122,"base":12}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2160,"base":12},"right_expr":{"type":"numeric_atoms","value":2549,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2632,"base":12},"right_expr":{"type":"numeric_atoms","value":2457,"base":12}}}}},"used_operators":["9FxExcQeMw","8cLx32lpNA","uWAJUKEvyW","LYeZOJ0nQG","0ajvFaJAv0","LRNGc0VcxI","yXekIHxTD4","Z57zeUYC9z","PPChnnnBFF","OKKcZfAt5B","E4l6HwMY31","cTDWOvIxvz","F4yD0voBRQ","nREPSIbpBE","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","X99M06cbEe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","12rbrZMWeM","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-29772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":4},{"info":"compute unary expreesion, input=1709, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=3960, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-152","layer":2},{"info":"number node, value=2060","layer":4},{"info":"number node, value=3595","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=3595, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7066","layer":3},{"info":"number node, value=5132","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=1608, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=7066, right_input=9872, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-152, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-152","layer":1},{"info":"number node, value=7338","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=7338, right_input=2086, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=22706","layer":3},{"info":"number node, value=2579","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=1122, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2584","layer":3},{"info":"compute binary expreesion, left_input=22706, right_input=2584, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-28407","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=2549, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4942","layer":3},{"info":"number node, value=2632","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=2457, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2632","layer":3},{"info":"compute binary expreesion, left_input=-4942, right_input=2632, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-24970","layer":2},{"info":"compute binary expreesion, left_input=-28407, right_input=-24970, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=28891","layer":1},{"info":"compute binary expreesion, left_input=-152, right_input=28891, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-58118","layer":0}],"base":12,"result_base":12,"text":"((⫎≠⋺⫖↰⪸BA5)⊹∫⫚⫖↰⪸964⫁⫖↰⪸2360)∌(⫖↰⪸1238⨥⫆⫖↰⪸20B7∀⇚≩(⫖↰⪸2B78⨔≚≋⫖↰⪸B20))⩷∴(⫖↰⪸42B6⊔⫖↰⪸125A)≝⊿(⫖↰⪸15AB∝⫖↰⪸796)∣(⫖↰⪸1300⨚⫖↰⪸1585⇣⩺⋵(⫖↰⪸1634⋝⋈⪟⫖↰⪸1509))=⫖↰⪸-29772","reverse_text":"⫖↰⪸-29772=((⫎≠⋺⫖↰⪸BA5)⊹∫⫚⫖↰⪸964⫁⫖↰⪸2360)∌(⫖↰⪸1238⨥⫆⫖↰⪸20B7∀⇚≩(⫖↰⪸2B78⨔≚≋⫖↰⪸B20))⩷∴(⫖↰⪸42B6⊔⫖↰⪸125A)≝⊿(⫖↰⪸15AB∝⫖↰⪸796)∣(⫖↰⪸1300⨚⫖↰⪸1585⇣⩺⋵(⫖↰⪸1634⋝⋈⪟⫖↰⪸1509))","cot":[{"info":"⫎≠⋺⫖↰⪸BA5=⫖↰⪸0","layer":3},{"info":"⫖↰⪸964⫁⫖↰⪸2360=⫖↰⪸114","layer":3},{"info":"⫖↰⪸0⊹∫⫚⫖↰⪸114=⫖↰⪸-108","layer":2},{"info":"⫖↰⪸1238⨥⫆⫖↰⪸20B7=⫖↰⪸410A","layer":3},{"info":"⫖↰⪸2B78⨔≚≋⫖↰⪸B20=⫖↰⪸5868","layer":3},{"info":"⫖↰⪸410A∀⇚≩⫖↰⪸5868=NaN","layer":2},{"info":"⫖↰⪸-108∌NaN=⫖↰⪸-108","layer":1},{"info":"⫖↰⪸42B6⊔⫖↰⪸125A=⫖↰⪸11182","layer":3},{"info":"⫖↰⪸15AB∝⫖↰⪸796=⫖↰⪸15B4","layer":3},{"info":"⫖↰⪸11182≝⊿⫖↰⪸15B4=⫖↰⪸-14533","layer":2},{"info":"⫖↰⪸1300⨚⫖↰⪸1585=⫖↰⪸-2A3A","layer":3},{"info":"⫖↰⪸1634⋝⋈⪟⫖↰⪸1509=⫖↰⪸1634","layer":3},{"info":"⫖↰⪸-2A3A⇣⩺⋵⫖↰⪸1634=⫖↰⪸-1254A","layer":2},{"info":"⫖↰⪸-14533∣⫖↰⪸-1254A=⫖↰⪸14877","layer":1},{"info":"⫖↰⪸-108⩷∴⫖↰⪸14877=⫖↰⪸-29772","layer":0}]}
{"id":212,"expression_no_base_symbol":"(($7962$⪍↜⋙$1151$)⨚⇆($1499$∙⊟$2209$))∋(($3033$⫥∨⫟$8509$)⪭($1210$≀⩗∶$1193$))⩨($2354$↼⊘⨖$4303$≚⋢)⨜⨶(≘($5440$≒∊$7759$))","expression":"((⫖↰⪸4736⪍↜⋙⫖↰⪸7BB)⨚⇆(⫖↰⪸A4B∙⊟⫖↰⪸1341))∋((⫖↰⪸1909⫥∨⫟⫖↰⪸4B11)⪭(⫖↰⪸84A≀⩗∶⫖↰⪸835))⩨(⫖↰⪸1442↼⊘⨖⫖↰⪸25A7≚⋢)⨜⨶(≘(⫖↰⪸3194≒∊⫖↰⪸45A7))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":97522,"operation_count":13,"complexity_ratio":7501.692307692308,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":7962,"base":12},"right_expr":{"type":"numeric_atoms","value":1151,"base":12}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1499,"base":12},"right_expr":{"type":"numeric_atoms","value":2209,"base":12}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3033,"base":12},"right_expr":{"type":"numeric_atoms","value":8509,"base":12}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2354,"base":12},"right_expr":{"type":"numeric_atoms","value":4303,"base":12}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5440,"base":12},"right_expr":{"type":"numeric_atoms","value":7759,"base":12}}}}},"used_operators":["2DlMacCsIx","ukq6epAj5P","lwHaAYXP2r","L05ObWFQCd","SxTAKzQCrw","j9kHMeSvPp","KYD54nUTWz","8INZBEW696","HiPekx5b7W","MahUMFw56D","bPywburJMS","tcjXMdvYtA","5KTvxBwnZo"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","COABgblf1C","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","3ViojmjbAp","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7962","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=7962, right_input=1151, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=13622","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=2209, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=29333","layer":3},{"info":"compute binary expreesion, left_input=13622, right_input=29333, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=3033","layer":4},{"info":"number node, value=8509","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=8509, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1193, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"number node, value=2354","layer":4},{"info":"number node, value=4303","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=4303, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8384","layer":3},{"info":"compute unary expreesion, input=8384, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=5440","layer":4},{"info":"number node, value=7759","layer":4},{"info":"compute binary expreesion, left_input=5440, right_input=7759, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4956","layer":3},{"info":"compute unary expreesion, input=-4956, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2913866","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=2913866, 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=-5827476","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5827476, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4736⪍↜⋙⫖↰⪸7BB)⨚⇆(⫖↰⪸A4B∙⊟⫖↰⪸1341))∋((⫖↰⪸1909⫥∨⫟⫖↰⪸4B11)⪭(⫖↰⪸84A≀⩗∶⫖↰⪸835))⩨(⫖↰⪸1442↼⊘⨖⫖↰⪸25A7≚⋢)⨜⨶(≘(⫖↰⪸3194≒∊⫖↰⪸45A7))=NaN","reverse_text":"NaN=((⫖↰⪸4736⪍↜⋙⫖↰⪸7BB)⨚⇆(⫖↰⪸A4B∙⊟⫖↰⪸1341))∋((⫖↰⪸1909⫥∨⫟⫖↰⪸4B11)⪭(⫖↰⪸84A≀⩗∶⫖↰⪸835))⩨(⫖↰⪸1442↼⊘⨖⫖↰⪸25A7≚⋢)⨜⨶(≘(⫖↰⪸3194≒∊⫖↰⪸45A7))","cot":[{"info":"⫖↰⪸4736⪍↜⋙⫖↰⪸7BB=⫖↰⪸7A72","layer":3},{"info":"⫖↰⪸A4B∙⊟⫖↰⪸1341=⫖↰⪸14B85","layer":3},{"info":"⫖↰⪸7A72⨚⇆⫖↰⪸14B85=NaN","layer":2},{"info":"⫖↰⪸1909⫥∨⫟⫖↰⪸4B11=NaN","layer":3},{"info":"⫖↰⪸84A≀⩗∶⫖↰⪸835=⫖↰⪸0","layer":3},{"info":"NaN⪭⫖↰⪸0=⫖↰⪸5","layer":2},{"info":"NaN∋⫖↰⪸5=NaN","layer":1},{"info":"⫖↰⪸1442↼⊘⨖⫖↰⪸25A7=⫖↰⪸4A28","layer":3},{"info":"⫖↰⪸4A28≚⋢=⫖↰⪸-75","layer":2},{"info":"⫖↰⪸3194≒∊⫖↰⪸45A7=⫖↰⪸-2A50","layer":3},{"info":"≘⫖↰⪸-2A50=⫖↰⪸B86322","layer":2},{"info":"⫖↰⪸-75⨜⨶⫖↰⪸B86322=⫖↰⪸-1B50470","layer":1},{"info":"NaN⩨⫖↰⪸-1B50470=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"$1133$⊱⇼⊻$1832$+⪬∐($1284$≓∲$5692$)∣($1244$⋹⋡⊁$3321$⊾⪯⋞$2073$↹⊜$1430$)⪔(($9629$⇞)⊾⪯⋞$3857$↓$1438$)⨔⇊(≻⋜$4441$)⨸($4576$⫸⇳$1325$)","expression":"⫖↰⪸7A5⊱⇼⊻⫖↰⪸1088+⪬∐(⫖↰⪸8B0≓∲⫖↰⪸3364)∣(⫖↰⪸878⋹⋡⊁⫖↰⪸1B09⊾⪯⋞⫖↰⪸1249↹⊜⫖↰⪸9B2)⪔((⫖↰⪸56A5⇞)⊾⪯⋞⫖↰⪸2295↓⫖↰⪸9BA)⨔⇊(≻⋜⫖↰⪸26A1)⨸(⫖↰⪸2794⫸⇳⫖↰⪸925)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":110593,"operation_count":15,"complexity_ratio":7372.866666666667,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1133,"base":12},"right_expr":{"type":"numeric_atoms","value":1832,"base":12}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1284,"base":12},"right_expr":{"type":"numeric_atoms","value":5692,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1244,"base":12},"right_expr":{"type":"numeric_atoms","value":3321,"base":12}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2073,"base":12},"right_expr":{"type":"numeric_atoms","value":1430,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":9629,"base":12}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3857,"base":12},"right_expr":{"type":"numeric_atoms","value":1438,"base":12}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4441,"base":12}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4576,"base":12},"right_expr":{"type":"numeric_atoms","value":1325,"base":12}}}}},"used_operators":["GjBEYRfMaF","PPChnnnBFF","2GS7woTJqF","FyVja0WsTP","s1XTVnmDOJ","HK0tfVPux8","As8RqfVLgs","9bazX3JMtO","JclMnS0uGI","5JYyxRJd4f","Af076pWI7l","KmoU8R5UQR","3tj9sqzovi","gx7XJ7hdpj"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1832, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1284","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=5692, 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=13623","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=13623, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-1302","layer":2},{"info":"number node, value=1244","layer":4},{"info":"number node, value=3321","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=3321, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4071","layer":3},{"info":"number node, value=2073","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=1430, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1670","layer":3},{"info":"compute binary expreesion, left_input=4071, right_input=-1670, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=-1302, right_input=-820, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1786","layer":1},{"info":"number node, value=9629","layer":4},{"info":"compute unary expreesion, input=9629, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=38429","layer":3},{"info":"number node, value=3857","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=3857, right_input=1438, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=38429, right_input=-134, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-822","layer":2},{"info":"number node, value=4441","layer":4},{"info":"compute unary expreesion, input=4441, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=4576","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=4576, right_input=1325, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-822, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1786, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸7A5⊱⇼⊻⫖↰⪸1088+⪬∐(⫖↰⪸8B0≓∲⫖↰⪸3364)∣(⫖↰⪸878⋹⋡⊁⫖↰⪸1B09⊾⪯⋞⫖↰⪸1249↹⊜⫖↰⪸9B2)⪔((⫖↰⪸56A5⇞)⊾⪯⋞⫖↰⪸2295↓⫖↰⪸9BA)⨔⇊(≻⋜⫖↰⪸26A1)⨸(⫖↰⪸2794⫸⇳⫖↰⪸925)=NaN","reverse_text":"NaN=⫖↰⪸7A5⊱⇼⊻⫖↰⪸1088+⪬∐(⫖↰⪸8B0≓∲⫖↰⪸3364)∣(⫖↰⪸878⋹⋡⊁⫖↰⪸1B09⊾⪯⋞⫖↰⪸1249↹⊜⫖↰⪸9B2)⪔((⫖↰⪸56A5⇞)⊾⪯⋞⫖↰⪸2295↓⫖↰⪸9BA)⨔⇊(≻⋜⫖↰⪸26A1)⨸(⫖↰⪸2794⫸⇳⫖↰⪸925)","cot":[{"info":"⫖↰⪸7A5⊱⇼⊻⫖↰⪸1088=⫖↰⪸302","layer":3},{"info":"⫖↰⪸8B0≓∲⫖↰⪸3364=⫖↰⪸7A73","layer":3},{"info":"⫖↰⪸302+⪬∐⫖↰⪸7A73=⫖↰⪸-906","layer":2},{"info":"⫖↰⪸878⋹⋡⊁⫖↰⪸1B09=⫖↰⪸2433","layer":3},{"info":"⫖↰⪸1249↹⊜⫖↰⪸9B2=⫖↰⪸-B72","layer":3},{"info":"⫖↰⪸2433⊾⪯⋞⫖↰⪸-B72=⫖↰⪸-584","layer":2},{"info":"⫖↰⪸-906∣⫖↰⪸-584=⫖↰⪸104A","layer":1},{"info":"⫖↰⪸56A5⇞=⫖↰⪸1A2A5","layer":3},{"info":"⫖↰⪸2295↓⫖↰⪸9BA=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸1A2A5⊾⪯⋞⫖↰⪸-B2=⫖↰⪸-586","layer":2},{"info":"≻⋜⫖↰⪸26A1=NaN","layer":3},{"info":"⫖↰⪸2794⫸⇳⫖↰⪸925=⫖↰⪸0","layer":3},{"info":"NaN⨸⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-586⨔⇊NaN=NaN","layer":1},{"info":"⫖↰⪸104A⪔NaN=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"((∟⋨$3133$⇻⋧≁$1188$)≓∲($4106$⨐$1279$⊉≛↸$8158$⋾⨃∁$2265$))⨼⩣((($2417$*$5838$)⪷)⪶≀⋏($4339$⫰⋱$3267$)⪒⊣⊆($1018$∇⊂⋱$3713$))","expression":"((∟⋨⫖↰⪸1991⇻⋧≁⫖↰⪸830)≓∲(⫖↰⪸2462⨐⫖↰⪸8A7⊉≛↸⫖↰⪸487A⋾⨃∁⫖↰⪸1389))⨼⩣(((⫖↰⪸1495*⫖↰⪸3466)⪷)⪶≀⋏(⫖↰⪸2617⫰⋱⫖↰⪸1A83)⪒⊣⊆(⫖↰⪸70A∇⊂⋱⫖↰⪸2195))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5313048,"operation_count":13,"complexity_ratio":408696.0,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3133,"base":12},"right_expr":{"type":"numeric_atoms","value":1188,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4106,"base":12},"right_expr":{"type":"numeric_atoms","value":1279,"base":12}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":8158,"base":12},"right_expr":{"type":"numeric_atoms","value":2265,"base":12}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2417,"base":12},"right_expr":{"type":"numeric_atoms","value":5838,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4339,"base":12},"right_expr":{"type":"numeric_atoms","value":3267,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1018,"base":12},"right_expr":{"type":"numeric_atoms","value":3713,"base":12}}}}},"used_operators":["JxwMv5le6e","s1XTVnmDOJ","ctOc4cKSDt","jCPkEVoL5K","DZ8iAZOCBD","Noe24qw2ks","212REbPD9h","zR4jO40bMj","Qctrpi3WzA","9HNa5Wba9A","eRqsBgTDFp","6o9Blt3TJ6","nhYeJWJD5X"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","tmPS8pqC7x","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Nsiff2A1zJ","W4YGzv6Whe","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3133","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=1188, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=37","layer":2},{"info":"number node, value=4106","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=4106, right_input=1279, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8212","layer":3},{"info":"number node, value=8158","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=8158, right_input=2265, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=51274976","layer":3},{"info":"compute binary expreesion, left_input=-8212, right_input=51274976, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-51274976","layer":2},{"info":"compute binary expreesion, left_input=37, right_input=-51274976, 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=1538246326","layer":1},{"info":"number node, value=2417","layer":4},{"info":"number node, value=5838","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=5838, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14110446","layer":3},{"info":"compute unary expreesion, input=14110446, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=4339","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=4339, right_input=3267, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4306","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=3713","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=3713, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1490","layer":3},{"info":"compute binary expreesion, left_input=-4306, right_input=1490, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=11694","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11694, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1538246326, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∟⋨⫖↰⪸1991⇻⋧≁⫖↰⪸830)≓∲(⫖↰⪸2462⨐⫖↰⪸8A7⊉≛↸⫖↰⪸487A⋾⨃∁⫖↰⪸1389))⨼⩣(((⫖↰⪸1495*⫖↰⪸3466)⪷)⪶≀⋏(⫖↰⪸2617⫰⋱⫖↰⪸1A83)⪒⊣⊆(⫖↰⪸70A∇⊂⋱⫖↰⪸2195))=NaN","reverse_text":"NaN=((∟⋨⫖↰⪸1991⇻⋧≁⫖↰⪸830)≓∲(⫖↰⪸2462⨐⫖↰⪸8A7⊉≛↸⫖↰⪸487A⋾⨃∁⫖↰⪸1389))⨼⩣(((⫖↰⪸1495*⫖↰⪸3466)⪷)⪶≀⋏(⫖↰⪸2617⫰⋱⫖↰⪸1A83)⪒⊣⊆(⫖↰⪸70A∇⊂⋱⫖↰⪸2195))","cot":[{"info":"⫖↰⪸1991⇻⋧≁⫖↰⪸830=⫖↰⪸-313","layer":3},{"info":"∟⋨⫖↰⪸-313=⫖↰⪸31","layer":2},{"info":"⫖↰⪸2462⨐⫖↰⪸8A7=⫖↰⪸-4904","layer":3},{"info":"⫖↰⪸487A⋾⨃∁⫖↰⪸1389=⫖↰⪸15209028","layer":3},{"info":"⫖↰⪸-4904⊉≛↸⫖↰⪸15209028=⫖↰⪸-15209028","layer":2},{"info":"⫖↰⪸31≓∲⫖↰⪸-15209028=⫖↰⪸36B1A4A1A","layer":1},{"info":"⫖↰⪸1495*⫖↰⪸3466=⫖↰⪸4885926","layer":3},{"info":"⫖↰⪸4885926⪷=NaN","layer":2},{"info":"⫖↰⪸2617⫰⋱⫖↰⪸1A83=⫖↰⪸-25AA","layer":3},{"info":"⫖↰⪸70A∇⊂⋱⫖↰⪸2195=⫖↰⪸A42","layer":3},{"info":"⫖↰⪸-25AA⪒⊣⊆⫖↰⪸A42=⫖↰⪸6926","layer":2},{"info":"NaN⪶≀⋏⫖↰⪸6926=NaN","layer":1},{"info":"⫖↰⪸36B1A4A1A⨼⩣NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"↣≠⋷((↓⇌$1441$)⇍⊗($1114$∀⊥⇻)⪡(⇜⊴$2459$⪥$2228$))","expression":"↣≠⋷((↓⇌⫖↰⪸A01)⇍⊗(⫖↰⪸78A∀⊥⇻)⪡(⇜⊴⫖↰⪸150B⪥⫖↰⪸1358))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":601,"operation_count":7,"complexity_ratio":85.85714285714286,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1441,"base":12}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1114,"base":12}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2459,"base":12},"right_expr":{"type":"numeric_atoms","value":2228,"base":12}}}}},"used_operators":["Asc51vEJeQ","oraRL2iQuh","5uvYHDjeKN","PxpmPgHHJV","k4iM1060OG","XwDhCwWbUn","QbnwKVWMIQ"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1441","layer":3},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1441, right_input=0, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2459","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=2228, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14488","layer":3},{"info":"compute unary expreesion, input=14488, 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=-3405454","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-3405454, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1456","layer":1},{"info":"compute unary expreesion, input=1456, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷((↓⇌⫖↰⪸A01)⇍⊗(⫖↰⪸78A∀⊥⇻)⪡(⇜⊴⫖↰⪸150B⪥⫖↰⪸1358))=NaN","reverse_text":"NaN=↣≠⋷((↓⇌⫖↰⪸A01)⇍⊗(⫖↰⪸78A∀⊥⇻)⪡(⇜⊴⫖↰⪸150B⪥⫖↰⪸1358))","cot":[{"info":"↓⇌⫖↰⪸A01=⫖↰⪸A01","layer":3},{"info":"⫖↰⪸78A∀⊥⇻=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A01⇍⊗⫖↰⪸0=⫖↰⪸-184","layer":2},{"info":"⫖↰⪸150B⪥⫖↰⪸1358=⫖↰⪸8474","layer":3},{"info":"⇜⊴⫖↰⪸8474=⫖↰⪸-11828BA","layer":2},{"info":"⫖↰⪸-184⪡⫖↰⪸-11828BA=⫖↰⪸A14","layer":1},{"info":"↣≠⋷⫖↰⪸A14=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"(⨂⪏⇭($1632$⨫⇇↔$3115$))⨟⋌⩍($5204$∳⫺$1146$⊨(+⊝⨔$2349$))⪛⫼(⊙↵-($1263$⪒⊣⊆$1163$⪎⩰))","expression":"(⨂⪏⇭(⫖↰⪸B40⨫⇇↔⫖↰⪸1977))⨟⋌⩍(⫖↰⪸3018∳⫺⫖↰⪸7B6⊨(+⊝⨔⫖↰⪸1439))⪛⫼(⊙↵-(⫖↰⪸893⪒⊣⊆⫖↰⪸80B⪎⩰))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1482,"operation_count":10,"complexity_ratio":148.2,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1632,"base":12},"right_expr":{"type":"numeric_atoms","value":3115,"base":12}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5204,"base":12},"right_expr":{"type":"numeric_atoms","value":1146,"base":12}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2349,"base":12}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1263,"base":12},"right_expr":{"type":"numeric_atoms","value":1163,"base":12}}}}},"used_operators":["hyuBjUqXlG","rGHVDoGpnC","AYdpE9sXAk","LXhwmt4mBO","vg4gO5BX6G","AzXXKTstlj","DhbWaqg5eL","oWn0xqSxBt","2ufhKmSs5H","eRqsBgTDFp"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Tcnh7f0tEr","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","sdazOOVcIp","W4YGzv6Whe"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1632","layer":4},{"info":"number node, value=3115","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=3115, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-2560","layer":2},{"info":"number node, value=5204","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=5204, right_input=1146, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2349","layer":4},{"info":"compute unary expreesion, input=2349, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1522, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-2560, right_input=-174, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=1263","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1163, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2526","layer":3},{"info":"compute unary expreesion, input=2526, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"compute unary expreesion, input=-34, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"(⨂⪏⇭(⫖↰⪸B40⨫⇇↔⫖↰⪸1977))⨟⋌⩍(⫖↰⪸3018∳⫺⫖↰⪸7B6⊨(+⊝⨔⫖↰⪸1439))⪛⫼(⊙↵-(⫖↰⪸893⪒⊣⊆⫖↰⪸80B⪎⩰))=⫖↰⪸688","reverse_text":"⫖↰⪸688=(⨂⪏⇭(⫖↰⪸B40⨫⇇↔⫖↰⪸1977))⨟⋌⩍(⫖↰⪸3018∳⫺⫖↰⪸7B6⊨(+⊝⨔⫖↰⪸1439))⪛⫼(⊙↵-(⫖↰⪸893⪒⊣⊆⫖↰⪸80B⪎⩰))","cot":[{"info":"⫖↰⪸B40⨫⇇↔⫖↰⪸1977=⫖↰⪸-37B","layer":3},{"info":"⨂⪏⇭⫖↰⪸-37B=⫖↰⪸-1594","layer":2},{"info":"⫖↰⪸3018∳⫺⫖↰⪸7B6=⫖↰⪸-198","layer":3},{"info":"+⊝⨔⫖↰⪸1439=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸-198⊨⫖↰⪸A6A=⫖↰⪸-126","layer":2},{"info":"⫖↰⪸-1594⨟⋌⩍⫖↰⪸-126=⫖↰⪸0","layer":1},{"info":"⫖↰⪸893⪒⊣⊆⫖↰⪸80B=⫖↰⪸1566","layer":3},{"info":"⫖↰⪸1566⪎⩰=⫖↰⪸-2A","layer":2},{"info":"⊙↵-⫖↰⪸-2A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪛⫼⫖↰⪸0=⫖↰⪸688","layer":0}]}
{"id":217,"expression_no_base_symbol":"(($3341$≀⩗∶$1402$)⩺⪪$1385$⋾⨃∁$6744$⩨($3195$⫸⊐$1618$)⪛($1043$⋣⋖$1009$))⊔(⪹(→⩰$2478$)⊋($4521$⊔$7569$))","expression":"((⫖↰⪸1B25≀⩗∶⫖↰⪸98A)⩺⪪⫖↰⪸975⋾⨃∁⫖↰⪸3AA0⩨(⫖↰⪸1A23⫸⊐⫖↰⪸B2A)⪛(⫖↰⪸72B⋣⋖⫖↰⪸701))⊔(⪹(→⩰⫖↰⪸1526)⊋(⫖↰⪸2749⊔⫖↰⪸4469))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9880,"operation_count":12,"complexity_ratio":823.3333333333334,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3341,"base":12},"right_expr":{"type":"numeric_atoms","value":1402,"base":12}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1385,"base":12},"right_expr":{"type":"numeric_atoms","value":6744,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3195,"base":12},"right_expr":{"type":"numeric_atoms","value":1618,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1043,"base":12},"right_expr":{"type":"numeric_atoms","value":1009,"base":12}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2478,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4521,"base":12},"right_expr":{"type":"numeric_atoms","value":7569,"base":12}}}}},"used_operators":["E4l6HwMY31","2DlMacCsIx","uvdQJvN4PV","8INZBEW696","212REbPD9h","uFcxV4UQCh","mqXw5SEYmG","J0M6qkBnIM","USyYr0JgAa","W4tP9CfskL","o8Pngz0Tml"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tifHPKVTfV","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3341","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=3341, right_input=1402, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=6744","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=6744, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=454734338","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=454734338, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=3195","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=1618, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6347","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1009, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1043","layer":3},{"info":"compute binary expreesion, left_input=6347, right_input=1043, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=89","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=89, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2478","layer":4},{"info":"compute unary expreesion, input=2478, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=4521","layer":4},{"info":"number node, value=7569","layer":4},{"info":"compute binary expreesion, left_input=4521, right_input=7569, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=44487","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=44487, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1B25≀⩗∶⫖↰⪸98A)⩺⪪⫖↰⪸975⋾⨃∁⫖↰⪸3AA0⩨(⫖↰⪸1A23⫸⊐⫖↰⪸B2A)⪛(⫖↰⪸72B⋣⋖⫖↰⪸701))⊔(⪹(→⩰⫖↰⪸1526)⊋(⫖↰⪸2749⊔⫖↰⪸4469))=NaN","reverse_text":"NaN=((⫖↰⪸1B25≀⩗∶⫖↰⪸98A)⩺⪪⫖↰⪸975⋾⨃∁⫖↰⪸3AA0⩨(⫖↰⪸1A23⫸⊐⫖↰⪸B2A)⪛(⫖↰⪸72B⋣⋖⫖↰⪸701))⊔(⪹(→⩰⫖↰⪸1526)⊋(⫖↰⪸2749⊔⫖↰⪸4469))","cot":[{"info":"⫖↰⪸1B25≀⩗∶⫖↰⪸98A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸975⋾⨃∁⫖↰⪸3AA0=⫖↰⪸108358542","layer":3},{"info":"⫖↰⪸0⩺⪪⫖↰⪸108358542=NaN","layer":2},{"info":"⫖↰⪸1A23⫸⊐⫖↰⪸B2A=⫖↰⪸380B","layer":3},{"info":"⫖↰⪸72B⋣⋖⫖↰⪸701=⫖↰⪸72B","layer":3},{"info":"⫖↰⪸380B⪛⫖↰⪸72B=⫖↰⪸75","layer":2},{"info":"NaN⩨⫖↰⪸75=NaN","layer":1},{"info":"→⩰⫖↰⪸1526=NaN","layer":3},{"info":"⫖↰⪸2749⊔⫖↰⪸4469=⫖↰⪸218B3","layer":3},{"info":"NaN⊋⫖↰⪸218B3=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"NaN⊔NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"(-(↑$1872$)≬⇓$3928$≌$4361$)⩇∃⫛((∓($3770$⫡⨏$1063$))⨵⪆($2852$⩉⊫⨁)⪇≇⋚(⊆⋠$1549$))","expression":"(-(↑⫖↰⪸1100)≬⇓⫖↰⪸2334≌⫖↰⪸2635)⩇∃⫛((∓(⫖↰⪸2222⫡⨏⫖↰⪸747))⨵⪆(⫖↰⪸1798⩉⊫⨁)⪇≇⋚(⊆⋠⫖↰⪸A91))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4621,"operation_count":11,"complexity_ratio":420.09090909090907,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1872,"base":12}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3928,"base":12},"right_expr":{"type":"numeric_atoms","value":4361,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3770,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2852,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1549,"base":12}}}}},"used_operators":["1aApVXNlOP","t8gj7n24qd","jWTQ2TZYIH","tR7O2zTn5j","lyWz822IDG","2DQ55sFlQl","OwUj7dcsQK","QMFrweE19q","3sJ7IOPOlU","7qqUquhhSb","EBhcHTkKd8"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","7j4O788W3g","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"⫖↰⪸-B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=3928","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=4361, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-765","layer":2},{"info":"compute unary expreesion, input=-765, op_id = t8gj7n24qd, unary_op_definition = 'None', output=765","layer":1},{"info":"number node, value=3770","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=1063, 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=21759","layer":3},{"info":"compute unary expreesion, input=21759, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-331257","layer":2},{"info":"number node, value=2852","layer":4},{"info":"compute unary expreesion, input=2852, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2852","layer":3},{"info":"number node, value=1549","layer":4},{"info":"compute unary expreesion, input=1549, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2852, right_input=0, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-331257, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=765, right_input=160, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-132","layer":0}],"base":12,"result_base":12,"text":"(-(↑⫖↰⪸1100)≬⇓⫖↰⪸2334≌⫖↰⪸2635)⩇∃⫛((∓(⫖↰⪸2222⫡⨏⫖↰⪸747))⨵⪆(⫖↰⪸1798⩉⊫⨁)⪇≇⋚(⊆⋠⫖↰⪸A91))=⫖↰⪸-B0","reverse_text":"⫖↰⪸-B0=(-(↑⫖↰⪸1100)≬⇓⫖↰⪸2334≌⫖↰⪸2635)⩇∃⫛((∓(⫖↰⪸2222⫡⨏⫖↰⪸747))⨵⪆(⫖↰⪸1798⩉⊫⨁)⪇≇⋚(⊆⋠⫖↰⪸A91))","cot":[{"info":"↑⫖↰⪸1100=⫖↰⪸140","layer":3},{"info":"⫖↰⪸2334≌⫖↰⪸2635=NaN","layer":3},{"info":"⫖↰⪸140≬⇓NaN=⫖↰⪸-539","layer":2},{"info":"-⫖↰⪸-539=⫖↰⪸539","layer":1},{"info":"⫖↰⪸2222⫡⨏⫖↰⪸747=⫖↰⪸10713","layer":3},{"info":"∓⫖↰⪸10713=⫖↰⪸-13B849","layer":2},{"info":"⫖↰⪸1798⩉⊫⨁=⫖↰⪸1798","layer":3},{"info":"⊆⋠⫖↰⪸A91=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1798⪇≇⋚⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-13B849⨵⪆⫖↰⪸0=⫖↰⪸114","layer":1},{"info":"⫖↰⪸539⩇∃⫛⫖↰⪸114=⫖↰⪸-B0","layer":0}]}
{"id":219,"expression_no_base_symbol":"((≯($2027$⇴∐$3529$))∸)⪣⫩","expression":"((≯(⫖↰⪸120B⇴∐⫖↰⪸2061))∸)⪣⫩","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":216,"operation_count":4,"complexity_ratio":54.0,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2027,"base":12},"right_expr":{"type":"numeric_atoms","value":3529,"base":12}}}}},"used_operators":["iuk5sVOGFA","o20kRiQErp","keWfFq85dY","HnzytWxmAO"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","g55IO6H4Gj","JLbD19bQDL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⫖↰⪸641","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"number node, value=3529","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=3529, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":12,"result_base":12,"text":"((≯(⫖↰⪸120B⇴∐⫖↰⪸2061))∸)⪣⫩=⫖↰⪸641","reverse_text":"⫖↰⪸641=((≯(⫖↰⪸120B⇴∐⫖↰⪸2061))∸)⪣⫩","cot":[{"info":"⫖↰⪸120B⇴∐⫖↰⪸2061=NaN","layer":3},{"info":"≯NaN=NaN","layer":2},{"info":"NaN∸=⫖↰⪸129","layer":1},{"info":"⫖↰⪸129⪣⫩=⫖↰⪸641","layer":0}]}
{"id":220,"expression_no_base_symbol":"(⊙↵-(↯⪼$7447$))↤⩊($4539$≁↽≥$4869$⫒⫫($1097$⪉⨛$2676$))⨚($2003$∷$2074$∷(⩷$6167$))+⪬∐($3767$⨽∌$5838$≚⊃≕$1095$⊬⨰$2177$)","expression":"(⊙↵-(↯⪼⫖↰⪸4387))↤⩊(⫖↰⪸2763≁↽≥⫖↰⪸2999⫒⫫(⫖↰⪸775⪉⨛⫖↰⪸1670))⨚(⫖↰⪸11AB∷⫖↰⪸124A∷(⩷⫖↰⪸369B))+⪬∐(⫖↰⪸221B⨽∌⫖↰⪸3466≚⊃≕⫖↰⪸773⊬⨰⫖↰⪸1315)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":436,"operation_count":14,"complexity_ratio":31.142857142857142,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":7447,"base":12}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4539,"base":12},"right_expr":{"type":"numeric_atoms","value":4869,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1097,"base":12},"right_expr":{"type":"numeric_atoms","value":2676,"base":12}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2003,"base":12},"right_expr":{"type":"numeric_atoms","value":2074,"base":12}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":6167,"base":12}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3767,"base":12},"right_expr":{"type":"numeric_atoms","value":5838,"base":12}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1095,"base":12},"right_expr":{"type":"numeric_atoms","value":2177,"base":12}}}}},"used_operators":["nREPSIbpBE","13rbtpv6ld","oWn0xqSxBt","8jW3W4yZS5","6Ko8hGgeMq","ncHt1X6cMc","EWw2JM7wp4","2GS7woTJqF","D3AQDKkPcf","1h0rLqGiFr","Bmrmz2XGnR","9samAPKr6k","s3Fd5m9Dh2"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","NTOWxs364D","7j4O788W3g","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7447","layer":4},{"info":"compute unary expreesion, input=7447, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=4539","layer":4},{"info":"number node, value=4869","layer":4},{"info":"compute binary expreesion, left_input=4539, right_input=4869, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=59113","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=2676, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=830","layer":3},{"info":"compute binary expreesion, left_input=59113, right_input=830, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=2003","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=2074, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2074","layer":3},{"info":"number node, value=6167","layer":4},{"info":"compute unary expreesion, input=6167, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-74083","layer":3},{"info":"compute binary expreesion, left_input=2074, right_input=-74083, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-2868","layer":2},{"info":"number node, value=3767","layer":4},{"info":"number node, value=5838","layer":4},{"info":"compute binary expreesion, left_input=3767, right_input=5838, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2177, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8747","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8747, 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=-29737","layer":2},{"info":"compute binary expreesion, left_input=-2868, right_input=-29737, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=8604","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8604, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-(↯⪼⫖↰⪸4387))↤⩊(⫖↰⪸2763≁↽≥⫖↰⪸2999⫒⫫(⫖↰⪸775⪉⨛⫖↰⪸1670))⨚(⫖↰⪸11AB∷⫖↰⪸124A∷(⩷⫖↰⪸369B))+⪬∐(⫖↰⪸221B⨽∌⫖↰⪸3466≚⊃≕⫖↰⪸773⊬⨰⫖↰⪸1315)=NaN","reverse_text":"NaN=(⊙↵-(↯⪼⫖↰⪸4387))↤⩊(⫖↰⪸2763≁↽≥⫖↰⪸2999⫒⫫(⫖↰⪸775⪉⨛⫖↰⪸1670))⨚(⫖↰⪸11AB∷⫖↰⪸124A∷(⩷⫖↰⪸369B))+⪬∐(⫖↰⪸221B⨽∌⫖↰⪸3466≚⊃≕⫖↰⪸773⊬⨰⫖↰⪸1315)","cot":[{"info":"↯⪼⫖↰⪸4387=⫖↰⪸-19","layer":3},{"info":"⊙↵-⫖↰⪸-19=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2763≁↽≥⫖↰⪸2999=⫖↰⪸2A261","layer":3},{"info":"⫖↰⪸775⪉⨛⫖↰⪸1670=⫖↰⪸592","layer":3},{"info":"⫖↰⪸2A261⫒⫫⫖↰⪸592=NaN","layer":2},{"info":"⫖↰⪸0↤⩊NaN=NaN","layer":1},{"info":"⫖↰⪸11AB∷⫖↰⪸124A=⫖↰⪸124A","layer":3},{"info":"⩷⫖↰⪸369B=⫖↰⪸-36A57","layer":3},{"info":"⫖↰⪸124A∷⫖↰⪸-36A57=⫖↰⪸-17B0","layer":2},{"info":"⫖↰⪸221B⨽∌⫖↰⪸3466=⫖↰⪸0","layer":3},{"info":"⫖↰⪸773⊬⨰⫖↰⪸1315=⫖↰⪸508B","layer":3},{"info":"⫖↰⪸0≚⊃≕⫖↰⪸508B=⫖↰⪸-15261","layer":2},{"info":"⫖↰⪸-17B0+⪬∐⫖↰⪸-15261=⫖↰⪸4B90","layer":1},{"info":"NaN⨚⫖↰⪸4B90=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"($2420$≴⪞⇿$6534$∓⋝($3652$⪍↜⋙$1060$)⨽(⊢≑≆$6217$)↳≱($4617$⨪↰⇹$3440$))⋹","expression":"(⫖↰⪸1498≴⪞⇿⫖↰⪸3946∓⋝(⫖↰⪸2144⪍↜⋙⫖↰⪸744)⨽(⊢≑≆⫖↰⪸3721)↳≱(⫖↰⪸2809⨪↰⇹⫖↰⪸1BA8))⋹","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7093,"operation_count":8,"complexity_ratio":886.625,"tree":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2420,"base":12},"right_expr":{"type":"numeric_atoms","value":6534,"base":12}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3652,"base":12},"right_expr":{"type":"numeric_atoms","value":1060,"base":12}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":6217,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4617,"base":12},"right_expr":{"type":"numeric_atoms","value":3440,"base":12}}}}},"used_operators":["opAxDRczMr","8HhzD0ZcuI","PoHhknlbAi","lvlrscuwVU","L05ObWFQCd","JwTKLfZU96","27wFxooxGf","tmPS8pqC7x"],"dependent_operators":["13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rJVOvQCfKK"],"result":"⫖↰⪸-18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2420","layer":4},{"info":"number node, value=6534","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=6534, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=9219452","layer":3},{"info":"number node, value=3652","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=3652, right_input=1060, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5184","layer":3},{"info":"compute binary expreesion, left_input=9219452, right_input=5184, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=6217","layer":4},{"info":"compute unary expreesion, input=6217, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=25320","layer":3},{"info":"number node, value=4617","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=3440, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4617","layer":3},{"info":"compute binary expreesion, left_input=25320, right_input=4617, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12153","layer":1},{"info":"compute unary expreesion, input=-12153, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1498≴⪞⇿⫖↰⪸3946∓⋝(⫖↰⪸2144⪍↜⋙⫖↰⪸744)⨽(⊢≑≆⫖↰⪸3721)↳≱(⫖↰⪸2809⨪↰⇹⫖↰⪸1BA8))⋹=⫖↰⪸-18","reverse_text":"⫖↰⪸-18=(⫖↰⪸1498≴⪞⇿⫖↰⪸3946∓⋝(⫖↰⪸2144⪍↜⋙⫖↰⪸744)⨽(⊢≑≆⫖↰⪸3721)↳≱(⫖↰⪸2809⨪↰⇹⫖↰⪸1BA8))⋹","cot":[{"info":"⫖↰⪸1498≴⪞⇿⫖↰⪸3946=⫖↰⪸31073B8","layer":3},{"info":"⫖↰⪸2144⪍↜⋙⫖↰⪸744=⫖↰⪸3000","layer":3},{"info":"⫖↰⪸31073B8∓⋝⫖↰⪸3000=⫖↰⪸57","layer":2},{"info":"⊢≑≆⫖↰⪸3721=⫖↰⪸127A0","layer":3},{"info":"⫖↰⪸2809⨪↰⇹⫖↰⪸1BA8=⫖↰⪸2809","layer":3},{"info":"⫖↰⪸127A0↳≱⫖↰⪸2809=⫖↰⪸0","layer":2},{"info":"⫖↰⪸57⨽⫖↰⪸0=⫖↰⪸-7049","layer":1},{"info":"⫖↰⪸-7049⋹=⫖↰⪸-18","layer":0}]}
{"id":222,"expression_no_base_symbol":"(($1701$⩷∴$3557$⋳⪒($5126$⫃⨇$2034$))⪶≀⋏(⊽$8098$)⩇∃⫛(⋣$2024$))⇻⋧≁(($1032$⪡$2607$⩹(∑⇻≧$8070$))⨰((⊬↢$1846$)⋅⇍($4319$⋻⩜⩜$1490$)))","expression":"((⫖↰⪸B99⩷∴⫖↰⪸2085⋳⪒(⫖↰⪸2B72⫃⨇⫖↰⪸1216))⪶≀⋏(⊽⫖↰⪸482A)⩇∃⫛(⋣⫖↰⪸1208))⇻⋧≁((⫖↰⪸720⪡⫖↰⪸1613⩹(∑⇻≧⫖↰⪸4806))⨰((⊬↢⫖↰⪸109A)⋅⇍(⫖↰⪸25BB⋻⩜⩜⫖↰⪸A42)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":634366,"operation_count":15,"complexity_ratio":42291.066666666666,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1701,"base":12},"right_expr":{"type":"numeric_atoms","value":3557,"base":12}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5126,"base":12},"right_expr":{"type":"numeric_atoms","value":2034,"base":12}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":8098,"base":12}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2024,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1032,"base":12},"right_expr":{"type":"numeric_atoms","value":2607,"base":12}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":8070,"base":12}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1846,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4319,"base":12},"right_expr":{"type":"numeric_atoms","value":1490,"base":12}}}}},"used_operators":["jCPkEVoL5K","zR4jO40bMj","12rbrZMWeM","9FxExcQeMw","09Ly4LVMIf","1aApVXNlOP","QxG7OkqoLX","zQWRhDnn8F","eewbuw0ToL","2Wsdkap16l","oraRL2iQuh","l1M9WJ3V7u","AdZkA7nFnk","WPoGxAaPR1","oDCm7WA9JY"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1701","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=3557, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3744","layer":3},{"info":"number node, value=5126","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=5126, right_input=2034, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8168","layer":3},{"info":"compute binary expreesion, left_input=-3744, right_input=-8168, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=393","layer":2},{"info":"number node, value=8098","layer":4},{"info":"compute unary expreesion, input=8098, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=17718","layer":3},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-594961","layer":3},{"info":"compute binary expreesion, left_input=17718, right_input=-594961, 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=-612206","layer":2},{"info":"compute binary expreesion, left_input=393, right_input=-612206, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=611309","layer":1},{"info":"number node, value=1032","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=2607, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=8070","layer":4},{"info":"compute unary expreesion, input=8070, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-852, 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=-854","layer":2},{"info":"number node, value=1846","layer":4},{"info":"compute unary expreesion, input=1846, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=4319","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=1490, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8638","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=8638, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-854, right_input=-22, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-822","layer":1},{"info":"compute binary expreesion, left_input=611309, right_input=-822, 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":12,"result_base":12,"text":"((⫖↰⪸B99⩷∴⫖↰⪸2085⋳⪒(⫖↰⪸2B72⫃⨇⫖↰⪸1216))⪶≀⋏(⊽⫖↰⪸482A)⩇∃⫛(⋣⫖↰⪸1208))⇻⋧≁((⫖↰⪸720⪡⫖↰⪸1613⩹(∑⇻≧⫖↰⪸4806))⨰((⊬↢⫖↰⪸109A)⋅⇍(⫖↰⪸25BB⋻⩜⩜⫖↰⪸A42)))=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=((⫖↰⪸B99⩷∴⫖↰⪸2085⋳⪒(⫖↰⪸2B72⫃⨇⫖↰⪸1216))⪶≀⋏(⊽⫖↰⪸482A)⩇∃⫛(⋣⫖↰⪸1208))⇻⋧≁((⫖↰⪸720⪡⫖↰⪸1613⩹(∑⇻≧⫖↰⪸4806))⨰((⊬↢⫖↰⪸109A)⋅⇍(⫖↰⪸25BB⋻⩜⩜⫖↰⪸A42)))","cot":[{"info":"⫖↰⪸B99⩷∴⫖↰⪸2085=⫖↰⪸-2200","layer":3},{"info":"⫖↰⪸2B72⫃⨇⫖↰⪸1216=⫖↰⪸-4888","layer":3},{"info":"⫖↰⪸-2200⋳⪒⫖↰⪸-4888=⫖↰⪸289","layer":2},{"info":"⊽⫖↰⪸482A=⫖↰⪸A306","layer":3},{"info":"⋣⫖↰⪸1208=⫖↰⪸-248381","layer":3},{"info":"⫖↰⪸A306⩇∃⫛⫖↰⪸-248381=⫖↰⪸-256352","layer":2},{"info":"⫖↰⪸289⪶≀⋏⫖↰⪸-256352=⫖↰⪸255925","layer":1},{"info":"⫖↰⪸720⪡⫖↰⪸1613=⫖↰⪸8B","layer":3},{"info":"∑⇻≧⫖↰⪸4806=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸8B⩹⫖↰⪸-5B0=⫖↰⪸-5B2","layer":2},{"info":"⊬↢⫖↰⪸109A=⫖↰⪸162","layer":3},{"info":"⫖↰⪸25BB⋻⩜⩜⫖↰⪸A42=⫖↰⪸4BBA","layer":3},{"info":"⫖↰⪸162⋅⇍⫖↰⪸4BBA=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸-5B2⨰⫖↰⪸-1A=⫖↰⪸-586","layer":1},{"info":"⫖↰⪸255925⇻⋧≁⫖↰⪸-586=⫖↰⪸-313","layer":0}]}
{"id":223,"expression_no_base_symbol":"(⫎≠⋺($3492$⇻⋧≁$2273$⨻⩈⩔$1446$⩼⇪↪$6804$))⋷(⩷(∐⩳⋚$9063$))⩦((⨂⪏⇭$2809$)≚⊃≕($1511$⋝⋈⪟$6695$))","expression":"(⫎≠⋺(⫖↰⪸2030⇻⋧≁⫖↰⪸1395⨻⩈⩔⫖↰⪸A06⩼⇪↪⫖↰⪸3B30))⋷(⩷(∐⩳⋚⫖↰⪸52B3))⩦((⨂⪏⇭⫖↰⪸1761)≚⊃≕(⫖↰⪸A5B⋝⋈⪟⫖↰⪸3A5B))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3859,"operation_count":11,"complexity_ratio":350.8181818181818,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3492,"base":12},"right_expr":{"type":"numeric_atoms","value":2273,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1446,"base":12},"right_expr":{"type":"numeric_atoms","value":6804,"base":12}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":9063,"base":12}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2809,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1511,"base":12},"right_expr":{"type":"numeric_atoms","value":6695,"base":12}}}}},"used_operators":["23Mk6UjR3U","LYeZOJ0nQG","nEsXyWgiOK","jCPkEVoL5K","ocnLzx9CaJ","0kmYd0q39Y","1h0rLqGiFr","SL6IHkK8vl","Bmrmz2XGnR","AYdpE9sXAk","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸9A2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3492","layer":4},{"info":"number node, value=2273","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=2273, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=6804","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=6804, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-45519","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-45519, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"number node, value=9063","layer":4},{"info":"compute unary expreesion, input=9063, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1350130","layer":3},{"info":"compute unary expreesion, input=1350130, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-16201639","layer":2},{"info":"number node, value=2809","layer":4},{"info":"compute unary expreesion, input=2809, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7448","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=6695","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=6695, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1511","layer":3},{"info":"compute binary expreesion, left_input=7448, right_input=1511, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-16201639, right_input=67, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-162017621","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=-162017621, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1418","layer":0}],"base":12,"result_base":12,"text":"(⫎≠⋺(⫖↰⪸2030⇻⋧≁⫖↰⪸1395⨻⩈⩔⫖↰⪸A06⩼⇪↪⫖↰⪸3B30))⋷(⩷(∐⩳⋚⫖↰⪸52B3))⩦((⨂⪏⇭⫖↰⪸1761)≚⊃≕(⫖↰⪸A5B⋝⋈⪟⫖↰⪸3A5B))=⫖↰⪸9A2","reverse_text":"⫖↰⪸9A2=(⫎≠⋺(⫖↰⪸2030⇻⋧≁⫖↰⪸1395⨻⩈⩔⫖↰⪸A06⩼⇪↪⫖↰⪸3B30))⋷(⩷(∐⩳⋚⫖↰⪸52B3))⩦((⨂⪏⇭⫖↰⪸1761)≚⊃≕(⫖↰⪸A5B⋝⋈⪟⫖↰⪸3A5B))","cot":[{"info":"⫖↰⪸2030⇻⋧≁⫖↰⪸1395=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸A06⩼⇪↪⫖↰⪸3B30=⫖↰⪸-22413","layer":3},{"info":"⫖↰⪸-313⨻⩈⩔⫖↰⪸-22413=⫖↰⪸-126","layer":2},{"info":"⫎≠⋺⫖↰⪸-126=⫖↰⪸-4B1","layer":1},{"info":"∐⩳⋚⫖↰⪸52B3=⫖↰⪸5513AA","layer":3},{"info":"⩷⫖↰⪸5513AA=⫖↰⪸-5513B47","layer":2},{"info":"⨂⪏⇭⫖↰⪸1761=⫖↰⪸4388","layer":3},{"info":"⫖↰⪸A5B⋝⋈⪟⫖↰⪸3A5B=⫖↰⪸A5B","layer":3},{"info":"⫖↰⪸4388≚⊃≕⫖↰⪸A5B=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-5513B47⩦⫖↰⪸57=⫖↰⪸-46314245","layer":1},{"info":"⫖↰⪸-4B1⋷⫖↰⪸-46314245=⫖↰⪸9A2","layer":0}]}
{"id":224,"expression_no_base_symbol":"((⇜⊴$4580$)⩷∴($2102$⪉⨛$1266$)⨳⩥⨓($1993$⫦⪉$6743$)⋓($3154$⫍⨯↯))⇂≾⫗((($6467$⪣⫩)∽$1206$∋$3964$)⩌⋺((⫇$2817$)⪛($2852$⇷$1738$)))","expression":"((⇜⊴⫖↰⪸2798)⩷∴(⫖↰⪸1272⪉⨛⫖↰⪸896)⨳⩥⨓(⫖↰⪸11A1⫦⪉⫖↰⪸3A9B)⋓(⫖↰⪸19AA⫍⨯↯))⇂≾⫗(((⫖↰⪸38AB⪣⫩)∽⫖↰⪸846∋⫖↰⪸2364)⩌⋺((⫇⫖↰⪸1769)⪛(⫖↰⪸1798⇷⫖↰⪸100A)))","highest_n_order":3,"priority_hierarchical_complexity":14,"normalized_expansion_degree":40304,"operation_count":15,"complexity_ratio":2686.9333333333334,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4580,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2102,"base":12},"right_expr":{"type":"numeric_atoms","value":1266,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1993,"base":12},"right_expr":{"type":"numeric_atoms","value":6743,"base":12}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":3154,"base":12}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":6467,"base":12}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1206,"base":12},"right_expr":{"type":"numeric_atoms","value":3964,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2817,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2852,"base":12},"right_expr":{"type":"numeric_atoms","value":1738,"base":12}}}}},"used_operators":["aBQ6xLxuTc","nCS4ZIUYfx","9FxExcQeMw","XwDhCwWbUn","EWw2JM7wp4","T2fj7uvVaJ","wscyQdcy20","ZcwmYACASQ","g7Hmc5v1ko","y4ImoPnbV5","iuk5sVOGFA","ukq6epAj5P","uFcxV4UQCh","YjI8oCXuph","mp7IySMOzn"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-484","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4580","layer":4},{"info":"compute unary expreesion, input=4580, 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=-1067166","layer":3},{"info":"number node, value=2102","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=1266, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5255","layer":3},{"info":"compute binary expreesion, left_input=-1067166, right_input=5255, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2144874","layer":2},{"info":"number node, value=1993","layer":4},{"info":"number node, value=6743","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=6743, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=914","layer":3},{"info":"number node, value=3154","layer":4},{"info":"compute unary expreesion, input=3154, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=3121","layer":3},{"info":"compute binary expreesion, left_input=914, right_input=3121, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2144874, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2144874","layer":1},{"info":"number node, value=6467","layer":4},{"info":"compute unary expreesion, input=6467, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=19368","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=3964, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=8222448","layer":3},{"info":"compute binary expreesion, left_input=19368, right_input=8222448, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24764006","layer":2},{"info":"number node, value=2817","layer":4},{"info":"compute unary expreesion, input=2817, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4420","layer":3},{"info":"number node, value=2852","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=1738, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3476","layer":3},{"info":"compute binary expreesion, left_input=-4420, right_input=3476, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2532","layer":2},{"info":"compute binary expreesion, left_input=-24764006, right_input=2532, 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=24761353","layer":1},{"info":"compute binary expreesion, left_input=2144874, right_input=24761353, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":12,"result_base":12,"text":"((⇜⊴⫖↰⪸2798)⩷∴(⫖↰⪸1272⪉⨛⫖↰⪸896)⨳⩥⨓(⫖↰⪸11A1⫦⪉⫖↰⪸3A9B)⋓(⫖↰⪸19AA⫍⨯↯))⇂≾⫗(((⫖↰⪸38AB⪣⫩)∽⫖↰⪸846∋⫖↰⪸2364)⩌⋺((⫇⫖↰⪸1769)⪛(⫖↰⪸1798⇷⫖↰⪸100A)))=⫖↰⪸-484","reverse_text":"⫖↰⪸-484=((⇜⊴⫖↰⪸2798)⩷∴(⫖↰⪸1272⪉⨛⫖↰⪸896)⨳⩥⨓(⫖↰⪸11A1⫦⪉⫖↰⪸3A9B)⋓(⫖↰⪸19AA⫍⨯↯))⇂≾⫗(((⫖↰⪸38AB⪣⫩)∽⫖↰⪸846∋⫖↰⪸2364)⩌⋺((⫇⫖↰⪸1769)⪛(⫖↰⪸1798⇷⫖↰⪸100A)))","cot":[{"info":"⇜⊴⫖↰⪸2798=⫖↰⪸-4356A6","layer":3},{"info":"⫖↰⪸1272⪉⨛⫖↰⪸896=⫖↰⪸305B","layer":3},{"info":"⫖↰⪸-4356A6⩷∴⫖↰⪸305B=⫖↰⪸-8752B6","layer":2},{"info":"⫖↰⪸11A1⫦⪉⫖↰⪸3A9B=⫖↰⪸642","layer":3},{"info":"⫖↰⪸19AA⫍⨯↯=⫖↰⪸1981","layer":3},{"info":"⫖↰⪸642⋓⫖↰⪸1981=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-8752B6⨳⩥⨓⫖↰⪸0=⫖↰⪸8752B6","layer":1},{"info":"⫖↰⪸38AB⪣⫩=⫖↰⪸B260","layer":3},{"info":"⫖↰⪸846∋⫖↰⪸2364=⫖↰⪸2906440","layer":3},{"info":"⫖↰⪸B260∽⫖↰⪸2906440=⫖↰⪸-8363032","layer":2},{"info":"⫇⫖↰⪸1769=⫖↰⪸-2684","layer":3},{"info":"⫖↰⪸1798⇷⫖↰⪸100A=⫖↰⪸2018","layer":3},{"info":"⫖↰⪸-2684⪛⫖↰⪸2018=⫖↰⪸1570","layer":2},{"info":"⫖↰⪸-8363032⩌⋺⫖↰⪸1570=⫖↰⪸83615A1","layer":1},{"info":"⫖↰⪸8752B6⇂≾⫗⫖↰⪸83615A1=⫖↰⪸-484","layer":0}]}
{"id":225,"expression_no_base_symbol":"(⊆⋠($1741$↱$5499$))≀⫉(($6280$%$5981$)⋝⋈⪟($2853$⋷$1077$))⨓($4171$≎⪠$3156$≧⫂∧$6521$≴⪞⇿$7073$)↞⋁($1377$≠≀$2268$≬⋮($4647$∪⫐$3657$))","expression":"(⊆⋠(⫖↰⪸1011↱⫖↰⪸3223))≀⫉((⫖↰⪸3774%⫖↰⪸3565)⋝⋈⪟(⫖↰⪸1799⋷⫖↰⪸759))⨓(⫖↰⪸24B7≎⪠⫖↰⪸19B0≧⫂∧⫖↰⪸3935≴⪞⇿⫖↰⪸4115)↞⋁(⫖↰⪸969≠≀⫖↰⪸1390≬⋮(⫖↰⪸2833∪⫐⫖↰⪸2149))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25891,"operation_count":14,"complexity_ratio":1849.357142857143,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1741,"base":12},"right_expr":{"type":"numeric_atoms","value":5499,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6280,"base":12},"right_expr":{"type":"numeric_atoms","value":5981,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2853,"base":12},"right_expr":{"type":"numeric_atoms","value":1077,"base":12}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4171,"base":12},"right_expr":{"type":"numeric_atoms","value":3156,"base":12}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6521,"base":12},"right_expr":{"type":"numeric_atoms","value":7073,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1377,"base":12},"right_expr":{"type":"numeric_atoms","value":2268,"base":12}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4647,"base":12},"right_expr":{"type":"numeric_atoms","value":3657,"base":12}}}}},"used_operators":["3ViojmjbAp","oZj3VtZNQx","EBhcHTkKd8","SR5kFfdi6N","2DDjHMKMc0","k8jYdgA6NY","23Mk6UjR3U","RqrPlJkxDo","Ph9nP6C5qx","aNhz54LH3e","lvlrscuwVU","kbkesczE7y","IwW236VD4Y","7YooWSwCyH"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=5499, 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=-15975","layer":3},{"info":"compute unary expreesion, input=-15975, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=6280","layer":4},{"info":"number node, value=5981","layer":4},{"info":"compute binary expreesion, left_input=6280, right_input=5981, op_id = k8jYdgA6NY binary_op_definition= 'None', output=299","layer":3},{"info":"number node, value=2853","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=1077, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-699","layer":3},{"info":"compute binary expreesion, left_input=299, right_input=-699, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=299","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=299, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=4171","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=3156, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=6521","layer":4},{"info":"number node, value=7073","layer":4},{"info":"compute binary expreesion, left_input=6521, right_input=7073, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=78075242","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=78075242, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=78074769","layer":2},{"info":"number node, value=1377","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=2268, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2448","layer":3},{"info":"number node, value=4647","layer":4},{"info":"number node, value=3657","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=3657, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4647","layer":3},{"info":"compute binary expreesion, left_input=-2448, right_input=4647, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=78074769, right_input=868, 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=2822, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊆⋠(⫖↰⪸1011↱⫖↰⪸3223))≀⫉((⫖↰⪸3774%⫖↰⪸3565)⋝⋈⪟(⫖↰⪸1799⋷⫖↰⪸759))⨓(⫖↰⪸24B7≎⪠⫖↰⪸19B0≧⫂∧⫖↰⪸3935≴⪞⇿⫖↰⪸4115)↞⋁(⫖↰⪸969≠≀⫖↰⪸1390≬⋮(⫖↰⪸2833∪⫐⫖↰⪸2149))=NaN","reverse_text":"NaN=(⊆⋠(⫖↰⪸1011↱⫖↰⪸3223))≀⫉((⫖↰⪸3774%⫖↰⪸3565)⋝⋈⪟(⫖↰⪸1799⋷⫖↰⪸759))⨓(⫖↰⪸24B7≎⪠⫖↰⪸19B0≧⫂∧⫖↰⪸3935≴⪞⇿⫖↰⪸4115)↞⋁(⫖↰⪸969≠≀⫖↰⪸1390≬⋮(⫖↰⪸2833∪⫐⫖↰⪸2149))","cot":[{"info":"⫖↰⪸1011↱⫖↰⪸3223=⫖↰⪸-92B3","layer":3},{"info":"⊆⋠⫖↰⪸-92B3=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸3774%⫖↰⪸3565=⫖↰⪸20B","layer":3},{"info":"⫖↰⪸1799⋷⫖↰⪸759=⫖↰⪸-4A3","layer":3},{"info":"⫖↰⪸20B⋝⋈⪟⫖↰⪸-4A3=⫖↰⪸20B","layer":2},{"info":"⫖↰⪸2377≀⫉⫖↰⪸20B=⫖↰⪸1772","layer":1},{"info":"⫖↰⪸24B7≎⪠⫖↰⪸19B0=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸3935≴⪞⇿⫖↰⪸4115=⫖↰⪸22192522","layer":3},{"info":"⫖↰⪸B39A≧⫂∧⫖↰⪸22192522=⫖↰⪸221921A9","layer":2},{"info":"⫖↰⪸969≠≀⫖↰⪸1390=⫖↰⪸-1500","layer":3},{"info":"⫖↰⪸2833∪⫐⫖↰⪸2149=⫖↰⪸2833","layer":3},{"info":"⫖↰⪸-1500≬⋮⫖↰⪸2833=⫖↰⪸604","layer":2},{"info":"⫖↰⪸221921A9↞⋁⫖↰⪸604=NaN","layer":1},{"info":"⫖↰⪸1772⨓NaN=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"↡((($2014$⊉≛↸$1028$)⊴⇁⪶)⩁⩘($1127$⫳≱↱$8995$)⇂≾⫗($1117$⪘⫢$1014$))","expression":"↡(((⫖↰⪸11BA⊉≛↸⫖↰⪸718)⊴⇁⪶)⩁⩘(⫖↰⪸79B⫳≱↱⫖↰⪸5257)⇂≾⫗(⫖↰⪸791⪘⫢⫖↰⪸706))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4604,"operation_count":7,"complexity_ratio":657.7142857142857,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2014,"base":12},"right_expr":{"type":"numeric_atoms","value":1028,"base":12}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1127,"base":12},"right_expr":{"type":"numeric_atoms","value":8995,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1117,"base":12},"right_expr":{"type":"numeric_atoms","value":1014,"base":12}}}}},"used_operators":["MXaNJeIAZ3","gub5Cegaqo","oo9mF6JIpo","DZ8iAZOCBD","aBQ6xLxuTc","ZvLB05nZmT","oacrs7FA3X"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸-9190","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2014","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=1028, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4028","layer":3},{"info":"compute unary expreesion, input=4028, 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=80938","layer":2},{"info":"number node, value=1127","layer":4},{"info":"number node, value=8995","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=8995, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1014, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2110","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=2110, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=80938, right_input=-676, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-1756","layer":1},{"info":"compute unary expreesion, input=-1756, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-15804","layer":0}],"base":12,"result_base":12,"text":"↡(((⫖↰⪸11BA⊉≛↸⫖↰⪸718)⊴⇁⪶)⩁⩘(⫖↰⪸79B⫳≱↱⫖↰⪸5257)⇂≾⫗(⫖↰⪸791⪘⫢⫖↰⪸706))=⫖↰⪸-9190","reverse_text":"⫖↰⪸-9190=↡(((⫖↰⪸11BA⊉≛↸⫖↰⪸718)⊴⇁⪶)⩁⩘(⫖↰⪸79B⫳≱↱⫖↰⪸5257)⇂≾⫗(⫖↰⪸791⪘⫢⫖↰⪸706))","cot":[{"info":"⫖↰⪸11BA⊉≛↸⫖↰⪸718=⫖↰⪸23B8","layer":3},{"info":"⫖↰⪸23B8⊴⇁⪶=⫖↰⪸3AA0A","layer":2},{"info":"⫖↰⪸79B⫳≱↱⫖↰⪸5257=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸791⪘⫢⫖↰⪸706=⫖↰⪸127A","layer":3},{"info":"⫖↰⪸-150⇂≾⫗⫖↰⪸127A=⫖↰⪸-484","layer":2},{"info":"⫖↰⪸3AA0A⩁⩘⫖↰⪸-484=⫖↰⪸-1024","layer":1},{"info":"↡⫖↰⪸-1024=⫖↰⪸-9190","layer":0}]}
{"id":227,"expression_no_base_symbol":"($6406$⊹∫⫚$3261$⨒$4272$⋅⇍$4514$∷($2525$⨳⩥⨓$2725$)+⇶⊼($1428$⪘⨀))⋝⋈⪟(($1404$⪭≯$3824$)⨫⇇↔$3660$⫣⪄⊒$1071$⩒⫫$4861$⨐$4243$→⨶⪴(⇉-⫰$1306$))","expression":"(⫖↰⪸385A⊹∫⫚⫖↰⪸1A79⨒⫖↰⪸2580⋅⇍⫖↰⪸2742∷(⫖↰⪸1565⨳⩥⨓⫖↰⪸16B1)+⇶⊼(⫖↰⪸9B0⪘⨀))⋝⋈⪟((⫖↰⪸990⪭≯⫖↰⪸2268)⨫⇇↔⫖↰⪸2150⫣⪄⊒⫖↰⪸753⩒⫫⫖↰⪸2991⨐⫖↰⪸2557→⨶⪴(⇉-⫰⫖↰⪸90A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":362,"operation_count":15,"complexity_ratio":24.133333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6406,"base":12},"right_expr":{"type":"numeric_atoms","value":3261,"base":12}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4272,"base":12},"right_expr":{"type":"numeric_atoms","value":4514,"base":12}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2525,"base":12},"right_expr":{"type":"numeric_atoms","value":2725,"base":12}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1428,"base":12}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1404,"base":12},"right_expr":{"type":"numeric_atoms","value":3824,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3660,"base":12},"right_expr":{"type":"numeric_atoms","value":1071,"base":12}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4861,"base":12},"right_expr":{"type":"numeric_atoms","value":4243,"base":12}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1306,"base":12}}}}},"used_operators":["2DDjHMKMc0","D3AQDKkPcf","y75s1iXyHd","uWAJUKEvyW","AdZkA7nFnk","TpPTUOHfaN","nCS4ZIUYfx","aA7tF3KVD3","KFSx94NKJn","LXhwmt4mBO","XAx5wpdLa6","RabNbG55vr","bF6eod5Gvf","Noe24qw2ks","IGFM8TAlm9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","8w2t5hMYqp","9FxExcQeMw","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eH2TOUuTDT","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6406","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=6406, right_input=3261, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-24","layer":3},{"info":"number node, value=4272","layer":4},{"info":"number node, value=4514","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=4514, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-24, right_input=-22, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=2525","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=2525, right_input=2725, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=200","layer":3},{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-3437","layer":3},{"info":"compute binary expreesion, left_input=200, right_input=-3437, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=1404","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=3824, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3660","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=3660, right_input=1071, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6872, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=4861","layer":4},{"info":"number node, value=4243","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=4243, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9722","layer":3},{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-9722, right_input=20, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-19516","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-19516, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-1872","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1872, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸385A⊹∫⫚⫖↰⪸1A79⨒⫖↰⪸2580⋅⇍⫖↰⪸2742∷(⫖↰⪸1565⨳⩥⨓⫖↰⪸16B1)+⇶⊼(⫖↰⪸9B0⪘⨀))⋝⋈⪟((⫖↰⪸990⪭≯⫖↰⪸2268)⨫⇇↔⫖↰⪸2150⫣⪄⊒⫖↰⪸753⩒⫫⫖↰⪸2991⨐⫖↰⪸2557→⨶⪴(⇉-⫰⫖↰⪸90A))=NaN","reverse_text":"NaN=(⫖↰⪸385A⊹∫⫚⫖↰⪸1A79⨒⫖↰⪸2580⋅⇍⫖↰⪸2742∷(⫖↰⪸1565⨳⩥⨓⫖↰⪸16B1)+⇶⊼(⫖↰⪸9B0⪘⨀))⋝⋈⪟((⫖↰⪸990⪭≯⫖↰⪸2268)⨫⇇↔⫖↰⪸2150⫣⪄⊒⫖↰⪸753⩒⫫⫖↰⪸2991⨐⫖↰⪸2557→⨶⪴(⇉-⫰⫖↰⪸90A))","cot":[{"info":"⫖↰⪸385A⊹∫⫚⫖↰⪸1A79=⫖↰⪸-20","layer":3},{"info":"⫖↰⪸2580⋅⇍⫖↰⪸2742=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸-20⨒⫖↰⪸-1A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1565⨳⩥⨓⫖↰⪸16B1=⫖↰⪸148","layer":3},{"info":"⫖↰⪸9B0⪘⨀=⫖↰⪸-1BA5","layer":3},{"info":"⫖↰⪸148+⇶⊼⫖↰⪸-1BA5=NaN","layer":2},{"info":"⫖↰⪸0∷NaN=NaN","layer":1},{"info":"⫖↰⪸990⪭≯⫖↰⪸2268=NaN","layer":3},{"info":"⫖↰⪸2150⫣⪄⊒⫖↰⪸753=⫖↰⪸-3B88","layer":3},{"info":"NaN⨫⇇↔⫖↰⪸-3B88=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸2991⨐⫖↰⪸2557=⫖↰⪸-5762","layer":3},{"info":"⇉-⫰⫖↰⪸90A=⫖↰⪸18","layer":3},{"info":"⫖↰⪸-5762→⨶⪴⫖↰⪸18=⫖↰⪸-B364","layer":2},{"info":"⫖↰⪸-37B⩒⫫⫖↰⪸-B364=⫖↰⪸-1100","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸-1100=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"↔(($1006$≹⇙⪍$1401$)⨌↪)⪒⊣⊆(⪨⨬($4316$≥⨤⩑$1520$))","expression":"↔((⫖↰⪸6BA≹⇙⪍⫖↰⪸989)⨌↪)⪒⊣⊆(⪨⨬(⫖↰⪸25B8≥⨤⩑⫖↰⪸A68))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60,"operation_count":6,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1006,"base":12},"right_expr":{"type":"numeric_atoms","value":1401,"base":12}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4316,"base":12},"right_expr":{"type":"numeric_atoms","value":1520,"base":12}}}}},"used_operators":["ruOEQAzv1W","eRqsBgTDFp","cWQsF5MvuD","AHs5Up7iyr","5obUd6DV38","gJLn6v0xnP"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","W4YGzv6Whe","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","T2fj7uvVaJ","nlCqmYiOvY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⫖↰⪸541","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1401, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"number node, value=4316","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=1520, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=-526, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=10","layer":1},{"info":"compute unary expreesion, input=10, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=769","layer":0}],"base":12,"result_base":12,"text":"↔((⫖↰⪸6BA≹⇙⪍⫖↰⪸989)⨌↪)⪒⊣⊆(⪨⨬(⫖↰⪸25B8≥⨤⩑⫖↰⪸A68))=⫖↰⪸541","reverse_text":"⫖↰⪸541=↔((⫖↰⪸6BA≹⇙⪍⫖↰⪸989)⨌↪)⪒⊣⊆(⪨⨬(⫖↰⪸25B8≥⨤⩑⫖↰⪸A68))","cot":[{"info":"⫖↰⪸6BA≹⇙⪍⫖↰⪸989=NaN","layer":3},{"info":"NaN⨌↪=⫖↰⪸-340","layer":2},{"info":"⫖↰⪸25B8≥⨤⩑⫖↰⪸A68=⫖↰⪸86A","layer":3},{"info":"⪨⨬⫖↰⪸86A=⫖↰⪸-37A","layer":2},{"info":"⫖↰⪸-340⪒⊣⊆⫖↰⪸-37A=⫖↰⪸A","layer":1},{"info":"↔⫖↰⪸A=⫖↰⪸541","layer":0}]}
{"id":229,"expression_no_base_symbol":"($1399$⪍↜⋙$9214$⨎($4742$⊜))⪥((⩎⋉$5923$)⊪)⨻⩈⩔(∑⇻≧($1002$↺$2068$)⫰⋱$1635$∴$2789$)","expression":"(⫖↰⪸987⪍↜⋙⫖↰⪸53BA⨎(⫖↰⪸28B2⊜))⪥((⩎⋉⫖↰⪸3517)⊪)⨻⩈⩔(∑⇻≧(⫖↰⪸6B6↺⫖↰⪸1244)⫰⋱⫖↰⪸B43∴⫖↰⪸1745)","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":279,"operation_count":11,"complexity_ratio":25.363636363636363,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1399,"base":12},"right_expr":{"type":"numeric_atoms","value":9214,"base":12}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":4742,"base":12}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":5923,"base":12}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":2068,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1635,"base":12},"right_expr":{"type":"numeric_atoms","value":2789,"base":12}}}}},"used_operators":["nEsXyWgiOK","QbnwKVWMIQ","rJVOvQCfKK","L05ObWFQCd","Eev2Q7dYIw","zVYPLywUTj","FlXk3pOYe8","l1M9WJ3V7u","6o9Blt3TJ6","7j4O788W3g","hrf7POJlIJ"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⫖↰⪸-126","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1399","layer":4},{"info":"number node, value=9214","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=9214, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-26206","layer":3},{"info":"number node, value=4742","layer":4},{"info":"compute unary expreesion, input=4742, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-17232","layer":3},{"info":"compute binary expreesion, left_input=-26206, right_input=-17232, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-17232","layer":2},{"info":"number node, value=5923","layer":4},{"info":"compute unary expreesion, input=5923, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-17232, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2068, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2068","layer":3},{"info":"number node, value=1635","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=2789, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4918","layer":3},{"info":"compute binary expreesion, left_input=2068, right_input=4918, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2035","layer":2},{"info":"compute unary expreesion, input=-2035, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=1861","layer":1},{"info":"compute binary expreesion, left_input=-1798, right_input=1861, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸987⪍↜⋙⫖↰⪸53BA⨎(⫖↰⪸28B2⊜))⪥((⩎⋉⫖↰⪸3517)⊪)⨻⩈⩔(∑⇻≧(⫖↰⪸6B6↺⫖↰⪸1244)⫰⋱⫖↰⪸B43∴⫖↰⪸1745)=⫖↰⪸-126","reverse_text":"⫖↰⪸-126=(⫖↰⪸987⪍↜⋙⫖↰⪸53BA⨎(⫖↰⪸28B2⊜))⪥((⩎⋉⫖↰⪸3517)⊪)⨻⩈⩔(∑⇻≧(⫖↰⪸6B6↺⫖↰⪸1244)⫰⋱⫖↰⪸B43∴⫖↰⪸1745)","cot":[{"info":"⫖↰⪸987⪍↜⋙⫖↰⪸53BA=⫖↰⪸-131BA","layer":3},{"info":"⫖↰⪸28B2⊜=⫖↰⪸-9B80","layer":3},{"info":"⫖↰⪸-131BA⨎⫖↰⪸-9B80=⫖↰⪸-9B80","layer":2},{"info":"⩎⋉⫖↰⪸3517=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸B56⊪=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-9B80⪥⫖↰⪸0=⫖↰⪸-105A","layer":1},{"info":"⫖↰⪸6B6↺⫖↰⪸1244=⫖↰⪸1244","layer":3},{"info":"⫖↰⪸B43∴⫖↰⪸1745=⫖↰⪸2A1A","layer":3},{"info":"⫖↰⪸1244⫰⋱⫖↰⪸2A1A=⫖↰⪸-1217","layer":2},{"info":"∑⇻≧⫖↰⪸-1217=⫖↰⪸10B1","layer":1},{"info":"⫖↰⪸-105A⨻⩈⩔⫖↰⪸10B1=⫖↰⪸-126","layer":0}]}
{"id":230,"expression_no_base_symbol":"((⇖⫷⫕($6479$⋻⩜⩜$1443$))∀⇚≩($3155$⇌⫙⪟$5538$⪨⊡$1046$⩖⊿$2807$))⩣⫁∢((⊢≑≆$2096$)⨎$1157$∥⊢⊲$1605$⩵∡(+⊝⨔(⊊≼∋$2452$)))","expression":"((⇖⫷⫕(⫖↰⪸38BB⋻⩜⩜⫖↰⪸A03))∀⇚≩(⫖↰⪸19AB⇌⫙⪟⫖↰⪸3256⪨⊡⫖↰⪸732⩖⊿⫖↰⪸175B))⩣⫁∢((⊢≑≆⫖↰⪸1268)⨎⫖↰⪸805∥⊢⊲⫖↰⪸B19⩵∡(+⊝⨔(⊊≼∋⫖↰⪸1504)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":43522,"operation_count":13,"complexity_ratio":3347.846153846154,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6479,"base":12},"right_expr":{"type":"numeric_atoms","value":1443,"base":12}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3155,"base":12},"right_expr":{"type":"numeric_atoms","value":5538,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1046,"base":12},"right_expr":{"type":"numeric_atoms","value":2807,"base":12}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2096,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1157,"base":12},"right_expr":{"type":"numeric_atoms","value":1605,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2452,"base":12}}}}},"used_operators":["JDUIKTTSIa","LRNGc0VcxI","UHmRx3INFg","oDCm7WA9JY","kuIXHzHcAH","AFVx7xoS7T","RZ5CV9rWsJ","Y7wcNGrDQJ","rJVOvQCfKK","27wFxooxGf","v1UQAVDJRr","DhbWaqg5eL","FWz7pXsQhA"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","X99M06cbEe","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","jCPkEVoL5K"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=6479","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=6479, right_input=1443, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12958","layer":3},{"info":"compute unary expreesion, input=12958, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=3155","layer":4},{"info":"number node, value=5538","layer":4},{"info":"compute binary expreesion, left_input=3155, right_input=5538, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1046","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=2807, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=18190","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=18190, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2096","layer":4},{"info":"compute unary expreesion, input=2096, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=8836","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1605, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8836, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"number node, value=2452","layer":4},{"info":"compute unary expreesion, input=2452, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇖⫷⫕(⫖↰⪸38BB⋻⩜⩜⫖↰⪸A03))∀⇚≩(⫖↰⪸19AB⇌⫙⪟⫖↰⪸3256⪨⊡⫖↰⪸732⩖⊿⫖↰⪸175B))⩣⫁∢((⊢≑≆⫖↰⪸1268)⨎⫖↰⪸805∥⊢⊲⫖↰⪸B19⩵∡(+⊝⨔(⊊≼∋⫖↰⪸1504)))=NaN","reverse_text":"NaN=((⇖⫷⫕(⫖↰⪸38BB⋻⩜⩜⫖↰⪸A03))∀⇚≩(⫖↰⪸19AB⇌⫙⪟⫖↰⪸3256⪨⊡⫖↰⪸732⩖⊿⫖↰⪸175B))⩣⫁∢((⊢≑≆⫖↰⪸1268)⨎⫖↰⪸805∥⊢⊲⫖↰⪸B19⩵∡(+⊝⨔(⊊≼∋⫖↰⪸1504)))","cot":[{"info":"⫖↰⪸38BB⋻⩜⩜⫖↰⪸A03=⫖↰⪸75BA","layer":3},{"info":"⇖⫷⫕⫖↰⪸75BA=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸19AB⇌⫙⪟⫖↰⪸3256=⫖↰⪸95","layer":3},{"info":"⫖↰⪸732⩖⊿⫖↰⪸175B=⫖↰⪸A63A","layer":3},{"info":"⫖↰⪸95⪨⊡⫖↰⪸A63A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1772∀⇚≩⫖↰⪸0=NaN","layer":1},{"info":"⊢≑≆⫖↰⪸1268=⫖↰⪸5144","layer":3},{"info":"⫖↰⪸805∥⊢⊲⫖↰⪸B19=NaN","layer":3},{"info":"⫖↰⪸5144⨎NaN=NaN","layer":2},{"info":"⊊≼∋⫖↰⪸1504=⫖↰⪸-313","layer":3},{"info":"+⊝⨔⫖↰⪸-313=⫖↰⪸A6A","layer":2},{"info":"NaN⩵∡⫖↰⪸A6A=NaN","layer":1},{"info":"NaN⩣⫁∢NaN=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"(⇵⪽(⪝⪂⫅$3664$))⩘(⩷($2231$-$1443$))⋣⋖(⫖→(($1051$⇍⊗$1239$)⫑))","expression":"(⇵⪽(⪝⪂⫅⫖↰⪸2154))⩘(⩷(⫖↰⪸135B-⫖↰⪸A03))⋣⋖(⫖→((⫖↰⪸737⇍⊗⫖↰⪸873)⫑))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4587,"operation_count":9,"complexity_ratio":509.6666666666667,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3664,"base":12}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2231,"base":12},"right_expr":{"type":"numeric_atoms","value":1443,"base":12}}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":1239,"base":12}}}}},"used_operators":["J0M6qkBnIM","cHh1gJQ2o6","ZGCBLdVRRX","XTarYq4gQB","1h0rLqGiFr","rysDP5nf3Z","U4ylXWHChL","CgIo77xlM2","5uvYHDjeKN"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","U7g4x0WXJJ","9HNa5Wba9A","8w2t5hMYqp","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3664","layer":4},{"info":"compute unary expreesion, input=3664, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-538608","layer":3},{"info":"compute unary expreesion, input=-538608, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=2231","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=1443, op_id = rysDP5nf3Z binary_op_definition= 'None', output=788","layer":3},{"info":"compute unary expreesion, input=788, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-9535","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9535, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1239, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=177, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⇵⪽(⪝⪂⫅⫖↰⪸2154))⩘(⩷(⫖↰⪸135B-⫖↰⪸A03))⋣⋖(⫖→((⫖↰⪸737⇍⊗⫖↰⪸873)⫑))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⇵⪽(⪝⪂⫅⫖↰⪸2154))⩘(⩷(⫖↰⪸135B-⫖↰⪸A03))⋣⋖(⫖→((⫖↰⪸737⇍⊗⫖↰⪸873)⫑))","cot":[{"info":"⪝⪂⫅⫖↰⪸2154=⫖↰⪸-21B840","layer":3},{"info":"⇵⪽⫖↰⪸-21B840=NaN","layer":2},{"info":"⫖↰⪸135B-⫖↰⪸A03=⫖↰⪸558","layer":3},{"info":"⩷⫖↰⪸558=⫖↰⪸-5627","layer":2},{"info":"NaN⩘⫖↰⪸-5627=⫖↰⪸114","layer":1},{"info":"⫖↰⪸737⇍⊗⫖↰⪸873=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸-184⫑=⫖↰⪸2377","layer":2},{"info":"⫖→⫖↰⪸2377=⫖↰⪸129","layer":1},{"info":"⫖↰⪸114⋣⋖⫖↰⪸129=⫖↰⪸114","layer":0}]}
{"id":232,"expression_no_base_symbol":"(⋃($4939$⨒$1302$)↹⊜($2530$⩢≌))⋾⨃∁(⇜($7149$⫢⨠$1641$))⨐$3085$≁↽≥$5101$⪟⇏($1315$⋳⪒$7318$)","expression":"(⋃(⫖↰⪸2A37⨒⫖↰⪸906)↹⊜(⫖↰⪸156A⩢≌))⋾⨃∁(⇜(⫖↰⪸4179⫢⨠⫖↰⪸B49))⨐⫖↰⪸1951≁↽≥⫖↰⪸2B51⪟⇏(⫖↰⪸917⋳⪒⫖↰⪸429A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":649,"operation_count":11,"complexity_ratio":59.0,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4939,"base":12},"right_expr":{"type":"numeric_atoms","value":1302,"base":12}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2530,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":7149,"base":12},"right_expr":{"type":"numeric_atoms","value":1641,"base":12}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3085,"base":12},"right_expr":{"type":"numeric_atoms","value":5101,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1315,"base":12},"right_expr":{"type":"numeric_atoms","value":7318,"base":12}}}}},"used_operators":["212REbPD9h","3mBM5G4a3l","9bazX3JMtO","y75s1iXyHd","D617RFjZIq","Noe24qw2ks","lFBm8KRb8F","xlXykHWxX1","GODebY97qR","ncHt1X6cMc","12rbrZMWeM"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","hTbEZDJLEm","o20kRiQErp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4939","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=1302, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-29262","layer":3},{"info":"number node, value=2530","layer":4},{"info":"compute unary expreesion, input=2530, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-29262, right_input=113, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1000","layer":2},{"info":"compute unary expreesion, input=-1000, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-1898","layer":1},{"info":"number node, value=7149","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=7149, right_input=1641, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-1688","layer":2},{"info":"number node, value=3085","layer":4},{"info":"number node, value=5101","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=5101, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=56207","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=7318","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=7318, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4975","layer":3},{"info":"compute binary expreesion, left_input=56207, right_input=-4975, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-1688, right_input=-1, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=3376","layer":1},{"info":"compute binary expreesion, left_input=-1898, right_input=3376, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⋃(⫖↰⪸2A37⨒⫖↰⪸906)↹⊜(⫖↰⪸156A⩢≌))⋾⨃∁(⇜(⫖↰⪸4179⫢⨠⫖↰⪸B49))⨐⫖↰⪸1951≁↽≥⫖↰⪸2B51⪟⇏(⫖↰⪸917⋳⪒⫖↰⪸429A)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⋃(⫖↰⪸2A37⨒⫖↰⪸906)↹⊜(⫖↰⪸156A⩢≌))⋾⨃∁(⇜(⫖↰⪸4179⫢⨠⫖↰⪸B49))⨐⫖↰⪸1951≁↽≥⫖↰⪸2B51⪟⇏(⫖↰⪸917⋳⪒⫖↰⪸429A)","cot":[{"info":"⫖↰⪸2A37⨒⫖↰⪸906=⫖↰⪸-14B26","layer":3},{"info":"⫖↰⪸156A⩢≌=⫖↰⪸95","layer":3},{"info":"⫖↰⪸-14B26↹⊜⫖↰⪸95=⫖↰⪸-6B4","layer":2},{"info":"⋃⫖↰⪸-6B4=⫖↰⪸-1122","layer":1},{"info":"⫖↰⪸4179⫢⨠⫖↰⪸B49=⫖↰⪸114","layer":3},{"info":"⇜⫖↰⪸114=⫖↰⪸-B88","layer":2},{"info":"⫖↰⪸1951≁↽≥⫖↰⪸2B51=⫖↰⪸2863B","layer":3},{"info":"⫖↰⪸917⋳⪒⫖↰⪸429A=⫖↰⪸-2A67","layer":3},{"info":"⫖↰⪸2863B⪟⇏⫖↰⪸-2A67=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-B88⨐⫖↰⪸-1=⫖↰⪸1B54","layer":1},{"info":"⫖↰⪸-1122⋾⨃∁⫖↰⪸1B54=⫖↰⪸114","layer":0}]}
{"id":233,"expression_no_base_symbol":"(⪹($1048$≁$2005$⩺⪪($6175$⊍⩺⋍$4364$)))≭($1773$⇷$1131$)∺≝⩲($4232$↢$1378$)≒∊(($2676$⋾⨃∁$2127$)⇔⨋)","expression":"(⪹(⫖↰⪸734≁⫖↰⪸11B1⩺⪪(⫖↰⪸36A7⊍⩺⋍⫖↰⪸2638)))≭(⫖↰⪸1039⇷⫖↰⪸7A3)∺≝⩲(⫖↰⪸2548↢⫖↰⪸96A)≒∊((⫖↰⪸1670⋾⨃∁⫖↰⪸1293)⇔⨋)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27443,"operation_count":11,"complexity_ratio":2494.818181818182,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":2005,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":6175,"base":12},"right_expr":{"type":"numeric_atoms","value":4364,"base":12}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1773,"base":12},"right_expr":{"type":"numeric_atoms","value":1131,"base":12}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4232,"base":12},"right_expr":{"type":"numeric_atoms","value":1378,"base":12}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2676,"base":12},"right_expr":{"type":"numeric_atoms","value":2127,"base":12}}}}},"used_operators":["rxpJgHHUmx","USyYr0JgAa","uvdQJvN4PV","8N2wDY1A35","OXDGMFPWZM","5KTvxBwnZo","KPf6cnQVty","mp7IySMOzn","WR6HLWljOP","uBihLCJcMX","212REbPD9h"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1048","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2005, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=34919","layer":3},{"info":"number node, value=6175","layer":4},{"info":"number node, value=4364","layer":4},{"info":"compute binary expreesion, left_input=6175, right_input=4364, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=34919, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":1},{"info":"number node, value=1773","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=1131, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2262","layer":3},{"info":"number node, value=4232","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=1378, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3748","layer":3},{"info":"compute binary expreesion, left_input=2262, right_input=3748, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=2676","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=2127, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=45215672","layer":3},{"info":"compute unary expreesion, input=45215672, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=271292962","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=271292962, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=324","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=324, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":12,"result_base":12,"text":"(⪹(⫖↰⪸734≁⫖↰⪸11B1⩺⪪(⫖↰⪸36A7⊍⩺⋍⫖↰⪸2638)))≭(⫖↰⪸1039⇷⫖↰⪸7A3)∺≝⩲(⫖↰⪸2548↢⫖↰⪸96A)≒∊((⫖↰⪸1670⋾⨃∁⫖↰⪸1293)⇔⨋)=NaN","reverse_text":"NaN=(⪹(⫖↰⪸734≁⫖↰⪸11B1⩺⪪(⫖↰⪸36A7⊍⩺⋍⫖↰⪸2638)))≭(⫖↰⪸1039⇷⫖↰⪸7A3)∺≝⩲(⫖↰⪸2548↢⫖↰⪸96A)≒∊((⫖↰⪸1670⋾⨃∁⫖↰⪸1293)⇔⨋)","cot":[{"info":"⫖↰⪸734≁⫖↰⪸11B1=⫖↰⪸1825B","layer":3},{"info":"⫖↰⪸36A7⊍⩺⋍⫖↰⪸2638=NaN","layer":3},{"info":"⫖↰⪸1825B⩺⪪NaN=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"⫖↰⪸1039⇷⫖↰⪸7A3=⫖↰⪸1386","layer":3},{"info":"⫖↰⪸2548↢⫖↰⪸96A=⫖↰⪸2204","layer":3},{"info":"⫖↰⪸1386∺≝⩲⫖↰⪸2204=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1670⋾⨃∁⫖↰⪸1293=⫖↰⪸13186588","layer":3},{"info":"⫖↰⪸13186588⇔⨋=⫖↰⪸76A322AA","layer":2},{"info":"⫖↰⪸114≒∊⫖↰⪸76A322AA=⫖↰⪸230","layer":1},{"info":"NaN≭⫖↰⪸230=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"(($3140$⩨$3372$)∓⋝(⊊≼∋$1715$)⊅)⊭↱(⪭⩑⪱($2723$≧⫂∧$2278$⪬∳))","expression":"((⫖↰⪸1998⩨⫖↰⪸1B50)∓⋝(⊊≼∋⫖↰⪸BAB)⊅)⊭↱(⪭⩑⪱(⫖↰⪸16AB≧⫂∧⫖↰⪸139A⪬∳))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28168,"operation_count":8,"complexity_ratio":3521.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3140,"base":12},"right_expr":{"type":"numeric_atoms","value":3372,"base":12}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1715,"base":12}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2723,"base":12},"right_expr":{"type":"numeric_atoms","value":2278,"base":12}}}}},"used_operators":["COABgblf1C","7p6YLioM7f","PoHhknlbAi","2DlMacCsIx","FWz7pXsQhA","SIgE0bArFf","O9U3z1385E","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","jCPkEVoL5K","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸568AA7B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3140","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=3372, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1715","layer":4},{"info":"compute unary expreesion, input=1715, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-447, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-357","layer":2},{"info":"compute unary expreesion, input=-357, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":1},{"info":"number node, value=2723","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=2723, right_input=2278, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1805","layer":3},{"info":"compute unary expreesion, input=1805, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute unary expreesion, input=-709, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=16947, right_input=8320752, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=16607615","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1998⩨⫖↰⪸1B50)∓⋝(⊊≼∋⫖↰⪸BAB)⊅)⊭↱(⪭⩑⪱(⫖↰⪸16AB≧⫂∧⫖↰⪸139A⪬∳))=⫖↰⪸568AA7B","reverse_text":"⫖↰⪸568AA7B=((⫖↰⪸1998⩨⫖↰⪸1B50)∓⋝(⊊≼∋⫖↰⪸BAB)⊅)⊭↱(⪭⩑⪱(⫖↰⪸16AB≧⫂∧⫖↰⪸139A⪬∳))","cot":[{"info":"⫖↰⪸1998⩨⫖↰⪸1B50=⫖↰⪸-3","layer":3},{"info":"⊊≼∋⫖↰⪸BAB=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-3∓⋝⫖↰⪸-313=⫖↰⪸-259","layer":2},{"info":"⫖↰⪸-259⊅=⫖↰⪸9983","layer":1},{"info":"⫖↰⪸16AB≧⫂∧⫖↰⪸139A=⫖↰⪸1065","layer":3},{"info":"⫖↰⪸1065⪬∳=⫖↰⪸-4B1","layer":2},{"info":"⪭⩑⪱⫖↰⪸-4B1=⫖↰⪸2953300","layer":1},{"info":"⫖↰⪸9983⊭↱⫖↰⪸2953300=⫖↰⪸568AA7B","layer":0}]}
{"id":235,"expression_no_base_symbol":"(⫵↿($1149$↬$1013$⋫))⋝⋈⪟((≤/$3287$)⨔≚≋$5123$≨$1018$⩚⊴⇥$3781$⫞⩸⩒$4365$⨑⩅≇($4326$⨐$4768$))","expression":"(⫵↿(⫖↰⪸7B9↬⫖↰⪸705⋫))⋝⋈⪟((≤/⫖↰⪸1A9B)⨔≚≋⫖↰⪸2B6B≨⫖↰⪸70A⩚⊴⇥⫖↰⪸2231⫞⩸⩒⫖↰⪸2639⨑⩅≇(⫖↰⪸2606⨐⫖↰⪸2914))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8858,"operation_count":11,"complexity_ratio":805.2727272727273,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1149,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3287,"base":12}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5123,"base":12},"right_expr":{"type":"numeric_atoms","value":1018,"base":12}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3781,"base":12},"right_expr":{"type":"numeric_atoms","value":4365,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4326,"base":12},"right_expr":{"type":"numeric_atoms","value":4768,"base":12}}}}},"used_operators":["2DDjHMKMc0","ivGwdmUAux","JL8yIekQnl","B5M0gjZbta","NTOWxs364D","Z57zeUYC9z","eLAdDNolq6","0KMCeP1Jsh","h92wMvzauj","XGcMNugi78","Noe24qw2ks"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","tmPS8pqC7x","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⫖↰⪸B5","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1013, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=3287","layer":4},{"info":"compute unary expreesion, input=3287, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2803","layer":3},{"info":"number node, value=5123","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=5123, right_input=1018, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-48754","layer":3},{"info":"compute binary expreesion, left_input=-2803, right_input=-48754, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=432120","layer":2},{"info":"number node, value=3781","layer":4},{"info":"number node, value=4365","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=4365, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4365","layer":3},{"info":"number node, value=4326","layer":4},{"info":"number node, value=4768","layer":4},{"info":"compute binary expreesion, left_input=4326, right_input=4768, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8652","layer":3},{"info":"compute binary expreesion, left_input=4365, right_input=-8652, 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=-13095","layer":2},{"info":"compute binary expreesion, left_input=432120, right_input=-13095, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-419146","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=-419146, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=137","layer":0}],"base":12,"result_base":12,"text":"(⫵↿(⫖↰⪸7B9↬⫖↰⪸705⋫))⋝⋈⪟((≤/⫖↰⪸1A9B)⨔≚≋⫖↰⪸2B6B≨⫖↰⪸70A⩚⊴⇥⫖↰⪸2231⫞⩸⩒⫖↰⪸2639⨑⩅≇(⫖↰⪸2606⨐⫖↰⪸2914))=⫖↰⪸B5","reverse_text":"⫖↰⪸B5=(⫵↿(⫖↰⪸7B9↬⫖↰⪸705⋫))⋝⋈⪟((≤/⫖↰⪸1A9B)⨔≚≋⫖↰⪸2B6B≨⫖↰⪸70A⩚⊴⇥⫖↰⪸2231⫞⩸⩒⫖↰⪸2639⨑⩅≇(⫖↰⪸2606⨐⫖↰⪸2914))","cot":[{"info":"⫖↰⪸7B9↬⫖↰⪸705=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"⫵↿NaN=⫖↰⪸B5","layer":1},{"info":"≤/⫖↰⪸1A9B=⫖↰⪸-1757","layer":3},{"info":"⫖↰⪸2B6B≨⫖↰⪸70A=⫖↰⪸-2426A","layer":3},{"info":"⫖↰⪸-1757⨔≚≋⫖↰⪸-2426A=⫖↰⪸18A0A0","layer":2},{"info":"⫖↰⪸2231⫞⩸⩒⫖↰⪸2639=⫖↰⪸2639","layer":3},{"info":"⫖↰⪸2606⨐⫖↰⪸2914=⫖↰⪸-5010","layer":3},{"info":"⫖↰⪸2639⨑⩅≇⫖↰⪸-5010=⫖↰⪸-76B3","layer":2},{"info":"⫖↰⪸18A0A0⩚⊴⇥⫖↰⪸-76B3=⫖↰⪸-18268A","layer":1},{"info":"⫖↰⪸B5⋝⋈⪟⫖↰⪸-18268A=⫖↰⪸B5","layer":0}]}
{"id":236,"expression_no_base_symbol":"(($7298$⊋≦⊧$2130$)⪮%⊝(↑$1452$)⫌⩹⨱)⩧⪆(($2251$⪁$4209$)⪕($7937$⩨$1420$))≴⪞⇿($2867$⪍↜⋙$6725$⊾⪯⋞(⩩$6571$))","expression":"((⫖↰⪸4282⊋≦⊧⫖↰⪸1296)⪮%⊝(↑⫖↰⪸A10)⫌⩹⨱)⩧⪆((⫖↰⪸1377⪁⫖↰⪸2529)⪕(⫖↰⪸4715⩨⫖↰⪸9A4))≴⪞⇿(⫖↰⪸17AB⪍↜⋙⫖↰⪸3A85⊾⪯⋞(⩩⫖↰⪸3977))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":449355196,"operation_count":12,"complexity_ratio":37446266.333333336,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7298,"base":12},"right_expr":{"type":"numeric_atoms","value":2130,"base":12}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1452,"base":12}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2251,"base":12},"right_expr":{"type":"numeric_atoms","value":4209,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7937,"base":12},"right_expr":{"type":"numeric_atoms","value":1420,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2867,"base":12},"right_expr":{"type":"numeric_atoms","value":6725,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":6571,"base":12}}}}},"used_operators":["Ikt5ks8PT7","EBcxylXtPf","IWmyXbctLI","oRDoc9rAEX","tR7O2zTn5j","lvlrscuwVU","umQnsF7QlU","I7sXao9hZE","2DlMacCsIx","HK0tfVPux8","L05ObWFQCd","kMhfGuqI2H"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7298","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=7298, right_input=2130, 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=-4020","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-4020, right_input=192, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-7724","layer":2},{"info":"compute unary expreesion, input=-7724, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-14047","layer":1},{"info":"number node, value=2251","layer":4},{"info":"number node, value=4209","layer":4},{"info":"compute binary expreesion, left_input=2251, right_input=4209, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=7937","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=7937, right_input=1420, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":2},{"info":"number node, value=2867","layer":4},{"info":"number node, value=6725","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=6725, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-28568","layer":3},{"info":"number node, value=6571","layer":4},{"info":"compute unary expreesion, input=6571, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-28568, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14047, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4282⊋≦⊧⫖↰⪸1296)⪮%⊝(↑⫖↰⪸A10)⫌⩹⨱)⩧⪆((⫖↰⪸1377⪁⫖↰⪸2529)⪕(⫖↰⪸4715⩨⫖↰⪸9A4))≴⪞⇿(⫖↰⪸17AB⪍↜⋙⫖↰⪸3A85⊾⪯⋞(⩩⫖↰⪸3977))=NaN","reverse_text":"NaN=((⫖↰⪸4282⊋≦⊧⫖↰⪸1296)⪮%⊝(↑⫖↰⪸A10)⫌⩹⨱)⩧⪆((⫖↰⪸1377⪁⫖↰⪸2529)⪕(⫖↰⪸4715⩨⫖↰⪸9A4))≴⪞⇿(⫖↰⪸17AB⪍↜⋙⫖↰⪸3A85⊾⪯⋞(⩩⫖↰⪸3977))","cot":[{"info":"⫖↰⪸4282⊋≦⊧⫖↰⪸1296=⫖↰⪸-23B0","layer":3},{"info":"↑⫖↰⪸A10=⫖↰⪸140","layer":3},{"info":"⫖↰⪸-23B0⪮%⊝⫖↰⪸140=⫖↰⪸-4578","layer":2},{"info":"⫖↰⪸-4578⫌⩹⨱=⫖↰⪸-8167","layer":1},{"info":"⫖↰⪸1377⪁⫖↰⪸2529=NaN","layer":3},{"info":"⫖↰⪸4715⩨⫖↰⪸9A4=⫖↰⪸0","layer":3},{"info":"NaN⪕⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸17AB⪍↜⋙⫖↰⪸3A85=⫖↰⪸-14648","layer":3},{"info":"⩩⫖↰⪸3977=NaN","layer":3},{"info":"⫖↰⪸-14648⊾⪯⋞NaN=NaN","layer":2},{"info":"NaN≴⪞⇿NaN=NaN","layer":1},{"info":"⫖↰⪸-8167⩧⪆NaN=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"((($1932$≀⫉$6418$)⫿)≎⊠⪸((⩰$3168$)⊾⪯⋞(↩⪖$1062$)))⪎↠((⫓⪴($8241$⊋≦⊧$1377$))⇮⋭($1577$⫁⪎$1191$)⪃⊛⇣($1485$⫥∨⫟$4500$))","expression":"(((⫖↰⪸1150≀⫉⫖↰⪸386A)⫿)≎⊠⪸((⩰⫖↰⪸1A00)⊾⪯⋞(↩⪖⫖↰⪸746)))⪎↠((⫓⪴(⫖↰⪸4929⊋≦⊧⫖↰⪸969))⇮⋭(⫖↰⪸AB5⫁⪎⫖↰⪸833)⪃⊛⇣(⫖↰⪸A39⫥∨⫟⫖↰⪸2730))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":152578,"operation_count":13,"complexity_ratio":11736.76923076923,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1932,"base":12},"right_expr":{"type":"numeric_atoms","value":6418,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":3168,"base":12}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1062,"base":12}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":8241,"base":12},"right_expr":{"type":"numeric_atoms","value":1377,"base":12}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1577,"base":12},"right_expr":{"type":"numeric_atoms","value":1191,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1485,"base":12},"right_expr":{"type":"numeric_atoms","value":4500,"base":12}}}}},"used_operators":["3tVxb0NHM4","bJkvcejdHO","9tKT6PmtkH","oZj3VtZNQx","HK0tfVPux8","WkeUrDK8WX","fG6uBQFnGz","vkpjKywKVM","eLxqMNBOBk","oRDoc9rAEX","rrgAzCduG9","xRrnTEsQ6j","KYD54nUTWz"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9HNa5Wba9A","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸65B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"number node, value=6418","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=6418, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2822","layer":2},{"info":"number node, value=3168","layer":4},{"info":"compute unary expreesion, input=3168, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-4168","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9354","layer":3},{"info":"compute binary expreesion, left_input=-4168, right_input=-9354, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-820, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=8241","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=8241, right_input=1377, 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=-2514","layer":3},{"info":"compute unary expreesion, input=-2514, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6320196","layer":2},{"info":"number node, value=1577","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=1191, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=386","layer":3},{"info":"number node, value=1485","layer":4},{"info":"number node, value=4500","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=4500, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=386, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=6320196, right_input=1234, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-473, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=935","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1150≀⫉⫖↰⪸386A)⫿)≎⊠⪸((⩰⫖↰⪸1A00)⊾⪯⋞(↩⪖⫖↰⪸746)))⪎↠((⫓⪴(⫖↰⪸4929⊋≦⊧⫖↰⪸969))⇮⋭(⫖↰⪸AB5⫁⪎⫖↰⪸833)⪃⊛⇣(⫖↰⪸A39⫥∨⫟⫖↰⪸2730))=⫖↰⪸65B","reverse_text":"⫖↰⪸65B=(((⫖↰⪸1150≀⫉⫖↰⪸386A)⫿)≎⊠⪸((⩰⫖↰⪸1A00)⊾⪯⋞(↩⪖⫖↰⪸746)))⪎↠((⫓⪴(⫖↰⪸4929⊋≦⊧⫖↰⪸969))⇮⋭(⫖↰⪸AB5⫁⪎⫖↰⪸833)⪃⊛⇣(⫖↰⪸A39⫥∨⫟⫖↰⪸2730))","cot":[{"info":"⫖↰⪸1150≀⫉⫖↰⪸386A=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸1772⫿=⫖↰⪸1772","layer":2},{"info":"⩰⫖↰⪸1A00=⫖↰⪸-24B4","layer":3},{"info":"↩⪖⫖↰⪸746=⫖↰⪸-54B6","layer":3},{"info":"⫖↰⪸-24B4⊾⪯⋞⫖↰⪸-54B6=⫖↰⪸-584","layer":2},{"info":"⫖↰⪸1772≎⊠⪸⫖↰⪸-584=⫖↰⪸57","layer":1},{"info":"⫖↰⪸4929⊋≦⊧⫖↰⪸969=⫖↰⪸-1556","layer":3},{"info":"⫓⪴⫖↰⪸-1556=⫖↰⪸2149630","layer":2},{"info":"⫖↰⪸AB5⫁⪎⫖↰⪸833=⫖↰⪸282","layer":3},{"info":"⫖↰⪸A39⫥∨⫟⫖↰⪸2730=NaN","layer":3},{"info":"⫖↰⪸282⪃⊛⇣NaN=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸2149630⇮⋭⫖↰⪸86A=⫖↰⪸-335","layer":1},{"info":"⫖↰⪸57⪎↠⫖↰⪸-335=⫖↰⪸65B","layer":0}]}
{"id":238,"expression_no_base_symbol":"((($3144$⊠≄⫣)↸(⊤⊝$1614$))∠⫱($4367$⪠⩆⊳)↳∿⪆$1787$≁↽≥$1323$)⪠⩆⊳","expression":"(((⫖↰⪸19A0⊠≄⫣)↸(⊤⊝⫖↰⪸B26))∠⫱(⫖↰⪸263B⪠⩆⊳)↳∿⪆⫖↰⪸104B≁↽≥⫖↰⪸923)⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3031,"operation_count":8,"complexity_ratio":378.875,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3144,"base":12}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1614,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4367,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1787,"base":12},"right_expr":{"type":"numeric_atoms","value":1323,"base":12}}}}},"used_operators":["JLbD19bQDL","QvoQhV0rrE","1eCjFl0mb9","DIvbN7qnHd","rXAclfmB4M","Cw4SuJJGHO","ncHt1X6cMc"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3144","layer":4},{"info":"compute unary expreesion, input=3144, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1930","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1930, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":2},{"info":"number node, value=4367","layer":4},{"info":"compute unary expreesion, input=4367, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1323, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=30429","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=30429, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸19A0⊠≄⫣)↸(⊤⊝⫖↰⪸B26))∠⫱(⫖↰⪸263B⪠⩆⊳)↳∿⪆⫖↰⪸104B≁↽≥⫖↰⪸923)⪠⩆⊳=NaN","reverse_text":"NaN=(((⫖↰⪸19A0⊠≄⫣)↸(⊤⊝⫖↰⪸B26))∠⫱(⫖↰⪸263B⪠⩆⊳)↳∿⪆⫖↰⪸104B≁↽≥⫖↰⪸923)⪠⩆⊳","cot":[{"info":"⫖↰⪸19A0⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⊤⊝⫖↰⪸B26=⫖↰⪸114A","layer":3},{"info":"⫖↰⪸0↸⫖↰⪸114A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸263B⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸104B≁↽≥⫖↰⪸923=⫖↰⪸15739","layer":3},{"info":"⫖↰⪸0↳∿⪆⫖↰⪸15739=NaN","layer":2},{"info":"⫖↰⪸0∠⫱NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"⨆≐≲((⪲⇎($2126$⇯⋐))∴(⋗⩴⪓$1504$∣$1069$))","expression":"⨆≐≲((⪲⇎(⫖↰⪸1292⇯⋐))∴(⋗⩴⪓⫖↰⪸A54∣⫖↰⪸751))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1698,"operation_count":6,"complexity_ratio":283.0,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2126,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1504,"base":12},"right_expr":{"type":"numeric_atoms","value":1069,"base":12}}}}},"used_operators":["Bi9z9uYZqW","hrf7POJlIJ","XPYlsWDdGa","LkLIoiE525","nOKPl9n5zu","PPChnnnBFF"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫖↰⪸9437B020","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=7256","layer":3},{"info":"compute unary expreesion, input=7256, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14512","layer":2},{"info":"number node, value=1504","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1069, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1504","layer":3},{"info":"compute unary expreesion, input=1504, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-591","layer":2},{"info":"compute binary expreesion, left_input=14512, right_input=-591, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=30672","layer":1},{"info":"compute unary expreesion, input=30672, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=335340888","layer":0}],"base":12,"result_base":12,"text":"⨆≐≲((⪲⇎(⫖↰⪸1292⇯⋐))∴(⋗⩴⪓⫖↰⪸A54∣⫖↰⪸751))=⫖↰⪸9437B020","reverse_text":"⫖↰⪸9437B020=⨆≐≲((⪲⇎(⫖↰⪸1292⇯⋐))∴(⋗⩴⪓⫖↰⪸A54∣⫖↰⪸751))","cot":[{"info":"⫖↰⪸1292⇯⋐=⫖↰⪸4248","layer":3},{"info":"⪲⇎⫖↰⪸4248=⫖↰⪸8494","layer":2},{"info":"⫖↰⪸A54∣⫖↰⪸751=⫖↰⪸A54","layer":3},{"info":"⋗⩴⪓⫖↰⪸A54=⫖↰⪸-413","layer":2},{"info":"⫖↰⪸8494∴⫖↰⪸-413=⫖↰⪸15900","layer":1},{"info":"⨆≐≲⫖↰⪸15900=⫖↰⪸9437B020","layer":0}]}
{"id":240,"expression_no_base_symbol":"(($2419$∠⫱$5241$)↳≱($4429$↓⨍⋜)⊾⪯⋞$6257$⩣⫁∢$5526$∋($2105$⩵∡$2644$))⪮%⊝((↴⪽⋼$2327$)⫉⨲⊜($2003$⋥≓≎$1026$)⋳⪒(⇾⩊⇾($1597$≝⊿$1027$)))","expression":"((⫖↰⪸1497∠⫱⫖↰⪸3049)↳≱(⫖↰⪸2691↓⨍⋜)⊾⪯⋞⫖↰⪸3755⩣⫁∢⫖↰⪸3246∋(⫖↰⪸1275⩵∡⫖↰⪸1644))⪮%⊝((↴⪽⋼⫖↰⪸141B)⫉⨲⊜(⫖↰⪸11AB⋥≓≎⫖↰⪸716)⋳⪒(⇾⩊⇾(⫖↰⪸B11≝⊿⫖↰⪸717)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":620,"operation_count":14,"complexity_ratio":44.285714285714285,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2419,"base":12},"right_expr":{"type":"numeric_atoms","value":5241,"base":12}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":4429,"base":12}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6257,"base":12},"right_expr":{"type":"numeric_atoms","value":5526,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2105,"base":12},"right_expr":{"type":"numeric_atoms","value":2644,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":2327,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2003,"base":12},"right_expr":{"type":"numeric_atoms","value":1026,"base":12}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1597,"base":12},"right_expr":{"type":"numeric_atoms","value":1027,"base":12}}}}},"used_operators":["IWmyXbctLI","HK0tfVPux8","JwTKLfZU96","QvoQhV0rrE","3DVzLFNsE9","ukq6epAj5P","JDUIKTTSIa","Y7wcNGrDQJ","12rbrZMWeM","WhqkvtTD3t","5TUYCnJO6w","Qy55tPpLXF","bx9Z9DAK5y","OKKcZfAt5B"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","12rbrZMWeM"],"result":"⫖↰⪸-924","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2419","layer":4},{"info":"number node, value=5241","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=5241, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=4429","layer":4},{"info":"compute unary expreesion, input=4429, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=6590, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=6257","layer":4},{"info":"number node, value=5526","layer":4},{"info":"compute binary expreesion, left_input=6257, right_input=5526, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12353","layer":3},{"info":"number node, value=2105","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=2644, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1687","layer":3},{"info":"compute binary expreesion, left_input=-12353, right_input=-1687, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-5212","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5212, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":1},{"info":"number node, value=2327","layer":4},{"info":"compute unary expreesion, input=2327, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2327","layer":3},{"info":"number node, value=2003","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=1026, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=82","layer":3},{"info":"compute binary expreesion, left_input=2327, right_input=82, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=1597","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=1027, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4184","layer":3},{"info":"compute unary expreesion, input=-4184, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=31170","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=31170, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-31457","layer":1},{"info":"compute binary expreesion, left_input=-820, right_input=-31457, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1324","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1497∠⫱⫖↰⪸3049)↳≱(⫖↰⪸2691↓⨍⋜)⊾⪯⋞⫖↰⪸3755⩣⫁∢⫖↰⪸3246∋(⫖↰⪸1275⩵∡⫖↰⪸1644))⪮%⊝((↴⪽⋼⫖↰⪸141B)⫉⨲⊜(⫖↰⪸11AB⋥≓≎⫖↰⪸716)⋳⪒(⇾⩊⇾(⫖↰⪸B11≝⊿⫖↰⪸717)))=⫖↰⪸-924","reverse_text":"⫖↰⪸-924=((⫖↰⪸1497∠⫱⫖↰⪸3049)↳≱(⫖↰⪸2691↓⨍⋜)⊾⪯⋞⫖↰⪸3755⩣⫁∢⫖↰⪸3246∋(⫖↰⪸1275⩵∡⫖↰⪸1644))⪮%⊝((↴⪽⋼⫖↰⪸141B)⫉⨲⊜(⫖↰⪸11AB⋥≓≎⫖↰⪸716)⋳⪒(⇾⩊⇾(⫖↰⪸B11≝⊿⫖↰⪸717)))","cot":[{"info":"⫖↰⪸1497∠⫱⫖↰⪸3049=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸2691↓⨍⋜=⫖↰⪸3992","layer":3},{"info":"⫖↰⪸86A↳≱⫖↰⪸3992=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3755⩣⫁∢⫖↰⪸3246=⫖↰⪸-7195","layer":3},{"info":"⫖↰⪸1275⩵∡⫖↰⪸1644=⫖↰⪸-B87","layer":3},{"info":"⫖↰⪸-7195∋⫖↰⪸-B87=⫖↰⪸-3024","layer":2},{"info":"⫖↰⪸0⊾⪯⋞⫖↰⪸-3024=⫖↰⪸-584","layer":1},{"info":"↴⪽⋼⫖↰⪸141B=⫖↰⪸141B","layer":3},{"info":"⫖↰⪸11AB⋥≓≎⫖↰⪸716=⫖↰⪸6A","layer":3},{"info":"⫖↰⪸141B⫉⨲⊜⫖↰⪸6A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸B11≝⊿⫖↰⪸717=⫖↰⪸-2508","layer":3},{"info":"⇾⩊⇾⫖↰⪸-2508=⫖↰⪸16056","layer":2},{"info":"⫖↰⪸0⋳⪒⫖↰⪸16056=⫖↰⪸-16255","layer":1},{"info":"⫖↰⪸-584⪮%⊝⫖↰⪸-16255=⫖↰⪸-924","layer":0}]}
{"id":241,"expression_no_base_symbol":"((($1655$≃⋄)↯⫤)≝⊰⇂)⪪(($4565$⇯⋐)↳∿⪆$2397$⩣⫁∢$1299$∝(⊖$1005$⇤$2662$))","expression":"(((⫖↰⪸B5B≃⋄)↯⫤)≝⊰⇂)⪪((⫖↰⪸2785⇯⋐)↳∿⪆⫖↰⪸1479⩣⫁∢⫖↰⪸903∝(⊖⫖↰⪸6B9⇤⫖↰⪸165A))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2930,"operation_count":10,"complexity_ratio":293.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1655,"base":12}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":4565,"base":12}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2397,"base":12},"right_expr":{"type":"numeric_atoms","value":1299,"base":12}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":2662,"base":12}}}}},"used_operators":["xD69zh8xqp","htSmYCowi5","VwlE7vj6HS","aN9a90urxU","cTDWOvIxvz","Cw4SuJJGHO","LkLIoiE525","JDUIKTTSIa","U6pG0PXrV3","YSKBFp38Pu"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","DlLNRPXxWL","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","uFcxV4UQCh","jLgFTUHLKL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⫖↰⪸-3712","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":4},{"info":"compute unary expreesion, input=1655, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-134","layer":1},{"info":"number node, value=4565","layer":4},{"info":"compute unary expreesion, input=4565, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=14573","layer":3},{"info":"number node, value=2397","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=1299, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4633","layer":3},{"info":"compute binary expreesion, left_input=14573, right_input=-4633, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2662, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-15487","layer":3},{"info":"compute unary expreesion, input=-15487, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=46461","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=46461, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸B5B≃⋄)↯⫤)≝⊰⇂)⪪((⫖↰⪸2785⇯⋐)↳∿⪆⫖↰⪸1479⩣⫁∢⫖↰⪸903∝(⊖⫖↰⪸6B9⇤⫖↰⪸165A))=⫖↰⪸-3712","reverse_text":"⫖↰⪸-3712=(((⫖↰⪸B5B≃⋄)↯⫤)≝⊰⇂)⪪((⫖↰⪸2785⇯⋐)↳∿⪆⫖↰⪸1479⩣⫁∢⫖↰⪸903∝(⊖⫖↰⪸6B9⇤⫖↰⪸165A))","cot":[{"info":"⫖↰⪸B5B≃⋄=⫖↰⪸538","layer":3},{"info":"⫖↰⪸538↯⫤=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0≝⊰⇂=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸2785⇯⋐=⫖↰⪸8525","layer":3},{"info":"⫖↰⪸1479⩣⫁∢⫖↰⪸903=⫖↰⪸-2821","layer":3},{"info":"⫖↰⪸8525↳∿⪆⫖↰⪸-2821=NaN","layer":2},{"info":"⫖↰⪸6B9⇤⫖↰⪸165A=⫖↰⪸-8B67","layer":3},{"info":"⊖⫖↰⪸-8B67=⫖↰⪸22A79","layer":2},{"info":"NaN∝⫖↰⪸22A79=NaN","layer":1},{"info":"⫖↰⪸-B2⪪NaN=⫖↰⪸-3712","layer":0}]}
{"id":242,"expression_no_base_symbol":"(($2606$⋥≓≎$2226$)∧)↓($2821$⊴$6598$↙($4652$∙∹∝$8797$))∲⫓(($4495$⇴$2477$)⫽⇹≛)⊮⊟↴(($1349$⊍⩺⋍$2716$)⊱⇼⊻($3357$∲⫓$1087$))","expression":"((⫖↰⪸1612⋥≓≎⫖↰⪸1356)∧)↓(⫖↰⪸1771⊴⫖↰⪸399A↙(⫖↰⪸2838∙∹∝⫖↰⪸5111))∲⫓((⫖↰⪸2727⇴⫖↰⪸1525)⫽⇹≛)⊮⊟↴((⫖↰⪸945⊍⩺⋍⫖↰⪸16A4)⊱⇼⊻(⫖↰⪸1B39∲⫓⫖↰⪸767))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7203,"operation_count":13,"complexity_ratio":554.0769230769231,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2606,"base":12},"right_expr":{"type":"numeric_atoms","value":2226,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2821,"base":12},"right_expr":{"type":"numeric_atoms","value":6598,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4652,"base":12},"right_expr":{"type":"numeric_atoms","value":8797,"base":12}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4495,"base":12},"right_expr":{"type":"numeric_atoms","value":2477,"base":12}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1349,"base":12},"right_expr":{"type":"numeric_atoms","value":2716,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3357,"base":12},"right_expr":{"type":"numeric_atoms","value":1087,"base":12}}}}},"used_operators":["i8ToyICDmI","Af076pWI7l","z63VuFQld9","Qy55tPpLXF","yyfyN0ffXY","Nsiff2A1zJ","HmxsFra2vL","QDVgd2eftb","NNaDxxp6OQ","4JB6nKBMSY","FyVja0WsTP","OXDGMFPWZM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2606","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=2226, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1879","layer":3},{"info":"compute unary expreesion, input=1879, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"number node, value=2821","layer":4},{"info":"number node, value=6598","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=6598, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4652","layer":4},{"info":"number node, value=8797","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=8797, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=4495","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=4495, right_input=2477, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=31538","layer":3},{"info":"compute unary expreesion, input=31538, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=1349","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2716, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=3357","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=3357, right_input=1087, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1612⋥≓≎⫖↰⪸1356)∧)↓(⫖↰⪸1771⊴⫖↰⪸399A↙(⫖↰⪸2838∙∹∝⫖↰⪸5111))∲⫓((⫖↰⪸2727⇴⫖↰⪸1525)⫽⇹≛)⊮⊟↴((⫖↰⪸945⊍⩺⋍⫖↰⪸16A4)⊱⇼⊻(⫖↰⪸1B39∲⫓⫖↰⪸767))=NaN","reverse_text":"NaN=((⫖↰⪸1612⋥≓≎⫖↰⪸1356)∧)↓(⫖↰⪸1771⊴⫖↰⪸399A↙(⫖↰⪸2838∙∹∝⫖↰⪸5111))∲⫓((⫖↰⪸2727⇴⫖↰⪸1525)⫽⇹≛)⊮⊟↴((⫖↰⪸945⊍⩺⋍⫖↰⪸16A4)⊱⇼⊻(⫖↰⪸1B39∲⫓⫖↰⪸767))","cot":[{"info":"⫖↰⪸1612⋥≓≎⫖↰⪸1356=⫖↰⪸1107","layer":3},{"info":"⫖↰⪸1107∧=NaN","layer":2},{"info":"⫖↰⪸1771⊴⫖↰⪸399A=NaN","layer":3},{"info":"⫖↰⪸2838∙∹∝⫖↰⪸5111=⫖↰⪸0","layer":3},{"info":"NaN↙⫖↰⪸0=NaN","layer":2},{"info":"NaN↓NaN=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸2727⇴⫖↰⪸1525=⫖↰⪸16302","layer":3},{"info":"⫖↰⪸16302⫽⇹≛=⫖↰⪸1A8","layer":2},{"info":"⫖↰⪸945⊍⩺⋍⫖↰⪸16A4=NaN","layer":3},{"info":"⫖↰⪸1B39∲⫓⫖↰⪸767=⫖↰⪸0","layer":3},{"info":"NaN⊱⇼⊻⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1A8⊮⊟↴NaN=NaN","layer":1},{"info":"⫖↰⪸-B2∲⫓NaN=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"($3685$⋳⪒$3574$≀⩗∶(⩷⨜⫀$1415$))⊉↱≁($7888$⪡$7853$≬⋮(≇⪴$4398$))≳⇉(⫎≠⋺($1127$⨔≚≋$1873$))⊬⨰(⪛⨧$2837$)⪔⊥($1409$∠⫱$1834$)","expression":"(⫖↰⪸2171⋳⪒⫖↰⪸209A≀⩗∶(⩷⨜⫀⫖↰⪸99B))⊉↱≁(⫖↰⪸4694⪡⫖↰⪸4665≬⋮(≇⪴⫖↰⪸2666))≳⇉(⫎≠⋺(⫖↰⪸79B⨔≚≋⫖↰⪸1101))⊬⨰(⪛⨧⫖↰⪸1785)⪔⊥(⫖↰⪸995∠⫱⫖↰⪸108A)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":205317,"operation_count":14,"complexity_ratio":14665.5,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3685,"base":12},"right_expr":{"type":"numeric_atoms","value":3574,"base":12}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1415,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":7888,"base":12},"right_expr":{"type":"numeric_atoms","value":7853,"base":12}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4398,"base":12}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1127,"base":12},"right_expr":{"type":"numeric_atoms","value":1873,"base":12}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2837,"base":12}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1409,"base":12},"right_expr":{"type":"numeric_atoms","value":1834,"base":12}}}}},"used_operators":["V0kx6qeWkN","w2P8NbNXyL","8INZBEW696","12rbrZMWeM","CDi0ktkjQ4","kbkesczE7y","oraRL2iQuh","zoVPnxeHJ3","s3Fd5m9Dh2","LYeZOJ0nQG","Z57zeUYC9z","HJ9erzHUuu","6NJAcO2OWT","QvoQhV0rrE"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3685","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=3574, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3509","layer":3},{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1142","layer":3},{"info":"compute binary expreesion, left_input=3509, right_input=-1142, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"number node, value=7888","layer":4},{"info":"number node, value=7853","layer":4},{"info":"compute binary expreesion, left_input=7888, right_input=7853, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=4398","layer":4},{"info":"compute unary expreesion, input=4398, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11854","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-11854, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=868, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-6292","layer":1},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1873, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"number node, value=2837","layer":4},{"info":"compute unary expreesion, input=2837, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7075","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=1834, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=7075, right_input=1234, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=25633","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=25633, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=102532","layer":1},{"info":"compute binary expreesion, left_input=-6292, right_input=102532, 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":12,"result_base":12,"text":"(⫖↰⪸2171⋳⪒⫖↰⪸209A≀⩗∶(⩷⨜⫀⫖↰⪸99B))⊉↱≁(⫖↰⪸4694⪡⫖↰⪸4665≬⋮(≇⪴⫖↰⪸2666))≳⇉(⫎≠⋺(⫖↰⪸79B⨔≚≋⫖↰⪸1101))⊬⨰(⪛⨧⫖↰⪸1785)⪔⊥(⫖↰⪸995∠⫱⫖↰⪸108A)=NaN","reverse_text":"NaN=(⫖↰⪸2171⋳⪒⫖↰⪸209A≀⩗∶(⩷⨜⫀⫖↰⪸99B))⊉↱≁(⫖↰⪸4694⪡⫖↰⪸4665≬⋮(≇⪴⫖↰⪸2666))≳⇉(⫎≠⋺(⫖↰⪸79B⨔≚≋⫖↰⪸1101))⊬⨰(⪛⨧⫖↰⪸1785)⪔⊥(⫖↰⪸995∠⫱⫖↰⪸108A)","cot":[{"info":"⫖↰⪸2171⋳⪒⫖↰⪸209A=⫖↰⪸2045","layer":3},{"info":"⩷⨜⫀⫖↰⪸99B=⫖↰⪸-7B2","layer":3},{"info":"⫖↰⪸2045≀⩗∶⫖↰⪸-7B2=⫖↰⪸3","layer":2},{"info":"⫖↰⪸4694⪡⫖↰⪸4665=⫖↰⪸8B","layer":3},{"info":"≇⪴⫖↰⪸2666=⫖↰⪸-6A3A","layer":3},{"info":"⫖↰⪸8B≬⋮⫖↰⪸-6A3A=⫖↰⪸604","layer":2},{"info":"⫖↰⪸3⊉↱≁⫖↰⪸604=⫖↰⪸-3784","layer":1},{"info":"⫖↰⪸79B⨔≚≋⫖↰⪸1101=⫖↰⪸5868","layer":3},{"info":"⫎≠⋺⫖↰⪸5868=⫖↰⪸0","layer":2},{"info":"⪛⨧⫖↰⪸1785=⫖↰⪸4117","layer":3},{"info":"⫖↰⪸995∠⫱⫖↰⪸108A=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸4117⪔⊥⫖↰⪸86A=⫖↰⪸12A01","layer":2},{"info":"⫖↰⪸0⊬⨰⫖↰⪸12A01=⫖↰⪸4B404","layer":1},{"info":"⫖↰⪸-3784≳⇉⫖↰⪸4B404=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"($2041$⨿$2332$⨸⪁$1316$∥⊢⊲$3519$)⫁($1977$≁↽≥$1205$⩘($6978$⋓$3238$))⩅⪻⪻","expression":"(⫖↰⪸1221⨿⫖↰⪸1424⨸⪁⫖↰⪸918∥⊢⊲⫖↰⪸2053)⫁(⫖↰⪸1189≁↽≥⫖↰⪸845⩘(⫖↰⪸4056⋓⫖↰⪸1A5A))⩅⪻⪻","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1068,"operation_count":8,"complexity_ratio":133.5,"tree":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2041,"base":12},"right_expr":{"type":"numeric_atoms","value":2332,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1316,"base":12},"right_expr":{"type":"numeric_atoms","value":3519,"base":12}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1977,"base":12},"right_expr":{"type":"numeric_atoms","value":1205,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6978,"base":12},"right_expr":{"type":"numeric_atoms","value":3238,"base":12}}}}},"used_operators":["kHoXpA7yos","0ajvFaJAv0","g55IO6H4Gj","abYXlopdE0","v1UQAVDJRr","cHh1gJQ2o6","ncHt1X6cMc","T2fj7uvVaJ"],"dependent_operators":["SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","EBcxylXtPf","rGHVDoGpnC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","oWn0xqSxBt","3Oe9XWJUTD","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸B02767","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=2332, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=3519, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1977","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=1205, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=33135","layer":3},{"info":"number node, value=6978","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=6978, right_input=3238, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=33135, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=2741695","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1221⨿⫖↰⪸1424⨸⪁⫖↰⪸918∥⊢⊲⫖↰⪸2053)⫁(⫖↰⪸1189≁↽≥⫖↰⪸845⩘(⫖↰⪸4056⋓⫖↰⪸1A5A))⩅⪻⪻=⫖↰⪸B02767","reverse_text":"⫖↰⪸B02767=(⫖↰⪸1221⨿⫖↰⪸1424⨸⪁⫖↰⪸918∥⊢⊲⫖↰⪸2053)⫁(⫖↰⪸1189≁↽≥⫖↰⪸845⩘(⫖↰⪸4056⋓⫖↰⪸1A5A))⩅⪻⪻","cot":[{"info":"⫖↰⪸1221⨿⫖↰⪸1424=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸918∥⊢⊲⫖↰⪸2053=NaN","layer":3},{"info":"⫖↰⪸-227⨸⪁NaN=NaN","layer":2},{"info":"⫖↰⪸1189≁↽≥⫖↰⪸845=⫖↰⪸17213","layer":3},{"info":"⫖↰⪸4056⋓⫖↰⪸1A5A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸17213⩘⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"NaN⫁⫖↰⪸114=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114⩅⪻⪻=⫖↰⪸B02767","layer":0}]}
{"id":245,"expression_no_base_symbol":"(($2317$≁↽≥$8140$∲⫓$1797$⫁⪎$1527$)⩨(($1310$↠)∪⫐$4125$⪬$4114$))⫒⫫(((⨰⫟⨤$1279$)⪨≂$5489$⇮⋭$2376$)≎⊠⪸($2693$⩁⩘$1081$⊭↱$2117$∥⊢⊲$1151$))","expression":"((⫖↰⪸1411≁↽≥⫖↰⪸4864∲⫓⫖↰⪸1059⫁⪎⫖↰⪸A73)⩨((⫖↰⪸912↠)∪⫐⫖↰⪸2479⪬⫖↰⪸246A))⫒⫫(((⨰⫟⨤⫖↰⪸8A7)⪨≂⫖↰⪸3215⇮⋭⫖↰⪸1460)≎⊠⪸(⫖↰⪸1685⩁⩘⫖↰⪸761⊭↱⫖↰⪸1285∥⊢⊲⫖↰⪸7BB))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5012,"operation_count":15,"complexity_ratio":334.1333333333333,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2317,"base":12},"right_expr":{"type":"numeric_atoms","value":8140,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1797,"base":12},"right_expr":{"type":"numeric_atoms","value":1527,"base":12}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1310,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4125,"base":12},"right_expr":{"type":"numeric_atoms","value":4114,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1279,"base":12}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5489,"base":12},"right_expr":{"type":"numeric_atoms","value":2376,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2693,"base":12},"right_expr":{"type":"numeric_atoms","value":1081,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2117,"base":12},"right_expr":{"type":"numeric_atoms","value":1151,"base":12}}}}},"used_operators":["6Ko8hGgeMq","2DlMacCsIx","i8ToyICDmI","ncHt1X6cMc","xRrnTEsQ6j","7YooWSwCyH","LBdsKIvxzf","Ez1Nq5fNfI","bJkvcejdHO","sdazOOVcIp","Tw270M8GLb","vkpjKywKVM","COABgblf1C","gub5Cegaqo","v1UQAVDJRr"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","EBcxylXtPf","rGHVDoGpnC"],"result":"⫖↰⪸95","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2317","layer":4},{"info":"number node, value=8140","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=8140, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=44687","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1527, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=270","layer":3},{"info":"compute binary expreesion, left_input=44687, right_input=270, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=44687","layer":2},{"info":"number node, value=1310","layer":4},{"info":"compute unary expreesion, input=1310, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=4125","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=4125, right_input=4114, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=1234, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=44687, right_input=-447, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5489","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=5489, right_input=2376, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=2693","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=1081, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5272","layer":3},{"info":"number node, value=2117","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=1151, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5272, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=67, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1411≁↽≥⫖↰⪸4864∲⫓⫖↰⪸1059⫁⪎⫖↰⪸A73)⩨((⫖↰⪸912↠)∪⫐⫖↰⪸2479⪬⫖↰⪸246A))⫒⫫(((⨰⫟⨤⫖↰⪸8A7)⪨≂⫖↰⪸3215⇮⋭⫖↰⪸1460)≎⊠⪸(⫖↰⪸1685⩁⩘⫖↰⪸761⊭↱⫖↰⪸1285∥⊢⊲⫖↰⪸7BB))=⫖↰⪸95","reverse_text":"⫖↰⪸95=((⫖↰⪸1411≁↽≥⫖↰⪸4864∲⫓⫖↰⪸1059⫁⪎⫖↰⪸A73)⩨((⫖↰⪸912↠)∪⫐⫖↰⪸2479⪬⫖↰⪸246A))⫒⫫(((⨰⫟⨤⫖↰⪸8A7)⪨≂⫖↰⪸3215⇮⋭⫖↰⪸1460)≎⊠⪸(⫖↰⪸1685⩁⩘⫖↰⪸761⊭↱⫖↰⪸1285∥⊢⊲⫖↰⪸7BB))","cot":[{"info":"⫖↰⪸1411≁↽≥⫖↰⪸4864=⫖↰⪸21A3B","layer":3},{"info":"⫖↰⪸1059⫁⪎⫖↰⪸A73=⫖↰⪸1A6","layer":3},{"info":"⫖↰⪸21A3B∲⫓⫖↰⪸1A6=⫖↰⪸21A3B","layer":2},{"info":"⫖↰⪸912↠=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸2479⪬⫖↰⪸246A=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-313∪⫐⫖↰⪸86A=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸21A3B⩨⫖↰⪸-313=⫖↰⪸3","layer":1},{"info":"⨰⫟⨤⫖↰⪸8A7=NaN","layer":3},{"info":"⫖↰⪸3215⇮⋭⫖↰⪸1460=⫖↰⪸-335","layer":3},{"info":"NaN⪨≂⫖↰⪸-335=NaN","layer":2},{"info":"⫖↰⪸1685⩁⩘⫖↰⪸761=⫖↰⪸3074","layer":3},{"info":"⫖↰⪸1285∥⊢⊲⫖↰⪸7BB=NaN","layer":3},{"info":"⫖↰⪸3074⊭↱NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸3⫒⫫⫖↰⪸57=⫖↰⪸95","layer":0}]}
{"id":246,"expression_no_base_symbol":"(($4316$⫸⊐$4374$)⨐(⫵↿$2108$)⇐≅)⊉≛↸(⫓⪴$2464$⩌⋺$8139$∀⇚≩(⋼∭⪍$4170$))","expression":"((⫖↰⪸25B8⫸⊐⫖↰⪸2646)⨐(⫵↿⫖↰⪸1278)⇐≅)⊉≛↸(⫓⪴⫖↰⪸1514⩌⋺⫖↰⪸4863∀⇚≩(⋼∭⪍⫖↰⪸24B6))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":75153,"operation_count":9,"complexity_ratio":8350.333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4316,"base":12},"right_expr":{"type":"numeric_atoms","value":4374,"base":12}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2108,"base":12}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2464,"base":12},"right_expr":{"type":"numeric_atoms","value":8139,"base":12}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":4170,"base":12}}}}},"used_operators":["DZ8iAZOCBD","wEfv7U73WA","Noe24qw2ks","mqXw5SEYmG","ivGwdmUAux","eLxqMNBOBk","LRNGc0VcxI","g7Hmc5v1ko","DbCuESL50I"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","9HNa5Wba9A","X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"⫖↰⪸337B6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4316","layer":4},{"info":"number node, value=4374","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=4374, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17371","layer":3},{"info":"number node, value=2108","layer":4},{"info":"compute unary expreesion, input=2108, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=17371, right_input=137, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-34742","layer":2},{"info":"compute unary expreesion, input=-34742, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=34269","layer":1},{"info":"number node, value=2464","layer":4},{"info":"number node, value=8139","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=8139, 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=-10724","layer":3},{"info":"number node, value=4170","layer":4},{"info":"compute unary expreesion, input=4170, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14940","layer":3},{"info":"compute binary expreesion, left_input=-10724, right_input=-14940, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=34269, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=68538","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸25B8⫸⊐⫖↰⪸2646)⨐(⫵↿⫖↰⪸1278)⇐≅)⊉≛↸(⫓⪴⫖↰⪸1514⩌⋺⫖↰⪸4863∀⇚≩(⋼∭⪍⫖↰⪸24B6))=⫖↰⪸337B6","reverse_text":"⫖↰⪸337B6=((⫖↰⪸25B8⫸⊐⫖↰⪸2646)⨐(⫵↿⫖↰⪸1278)⇐≅)⊉≛↸(⫓⪴⫖↰⪸1514⩌⋺⫖↰⪸4863∀⇚≩(⋼∭⪍⫖↰⪸24B6))","cot":[{"info":"⫖↰⪸25B8⫸⊐⫖↰⪸2646=⫖↰⪸A077","layer":3},{"info":"⫵↿⫖↰⪸1278=⫖↰⪸B5","layer":3},{"info":"⫖↰⪸A077⨐⫖↰⪸B5=⫖↰⪸-18132","layer":2},{"info":"⫖↰⪸-18132⇐≅=⫖↰⪸179B9","layer":1},{"info":"⫖↰⪸1514⩌⋺⫖↰⪸4863=⫖↰⪸-6258","layer":3},{"info":"⋼∭⪍⫖↰⪸24B6=⫖↰⪸-8790","layer":3},{"info":"⫖↰⪸-6258∀⇚≩⫖↰⪸-8790=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⫖↰⪸179B9⊉≛↸NaN=⫖↰⪸337B6","layer":0}]}
{"id":247,"expression_no_base_symbol":"($4442$≥⨤⩑$1255$)⪬($1131$⋥≓≎$2698$)⊱⇼⊻(($2345$⫰⋱$5021$)≝⊰⇂)⩇∃⫛(≇⪴(($5428$⨳⩥⨓$7185$)⪘⫢($7003$≃$1628$)))","expression":"(⫖↰⪸26A2≥⨤⩑⫖↰⪸887)⪬(⫖↰⪸7A3⋥≓≎⫖↰⪸168A)⊱⇼⊻((⫖↰⪸1435⫰⋱⫖↰⪸2AA5)≝⊰⇂)⩇∃⫛(≇⪴((⫖↰⪸3184⨳⩥⨓⫖↰⪸41A9)⪘⫢(⫖↰⪸4077≃⫖↰⪸B38)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":662,"operation_count":11,"complexity_ratio":60.18181818181818,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4442,"base":12},"right_expr":{"type":"numeric_atoms","value":1255,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1131,"base":12},"right_expr":{"type":"numeric_atoms","value":2698,"base":12}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2345,"base":12},"right_expr":{"type":"numeric_atoms","value":5021,"base":12}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5428,"base":12},"right_expr":{"type":"numeric_atoms","value":7185,"base":12}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":7003,"base":12},"right_expr":{"type":"numeric_atoms","value":1628,"base":12}}}}},"used_operators":["1aApVXNlOP","FyVja0WsTP","Ez1Nq5fNfI","gJLn6v0xnP","Qy55tPpLXF","htSmYCowi5","6o9Blt3TJ6","zoVPnxeHJ3","oacrs7FA3X","nCS4ZIUYfx","YbVcJGFEVW"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DlLNRPXxWL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸-4259","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4442","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=1255, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1131","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=2698, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4298","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=4298, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=2345","layer":4},{"info":"number node, value=5021","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=5021, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2312","layer":3},{"info":"compute unary expreesion, input=-2312, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-4758","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-4758, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=7738","layer":1},{"info":"number node, value=5428","layer":4},{"info":"number node, value=7185","layer":4},{"info":"compute binary expreesion, left_input=5428, right_input=7185, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1757","layer":3},{"info":"number node, value=7003","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=7003, right_input=1628, 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=-28052","layer":3},{"info":"compute binary expreesion, left_input=1757, right_input=-28052, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4","layer":1},{"info":"compute binary expreesion, left_input=7738, right_input=-4, 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=-7269","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸26A2≥⨤⩑⫖↰⪸887)⪬(⫖↰⪸7A3⋥≓≎⫖↰⪸168A)⊱⇼⊻((⫖↰⪸1435⫰⋱⫖↰⪸2AA5)≝⊰⇂)⩇∃⫛(≇⪴((⫖↰⪸3184⨳⩥⨓⫖↰⪸41A9)⪘⫢(⫖↰⪸4077≃⫖↰⪸B38)))=⫖↰⪸-4259","reverse_text":"⫖↰⪸-4259=(⫖↰⪸26A2≥⨤⩑⫖↰⪸887)⪬(⫖↰⪸7A3⋥≓≎⫖↰⪸168A)⊱⇼⊻((⫖↰⪸1435⫰⋱⫖↰⪸2AA5)≝⊰⇂)⩇∃⫛(≇⪴((⫖↰⪸3184⨳⩥⨓⫖↰⪸41A9)⪘⫢(⫖↰⪸4077≃⫖↰⪸B38)))","cot":[{"info":"⫖↰⪸26A2≥⨤⩑⫖↰⪸887=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸7A3⋥≓≎⫖↰⪸168A=⫖↰⪸25A2","layer":3},{"info":"⫖↰⪸86A⪬⫖↰⪸25A2=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸1435⫰⋱⫖↰⪸2AA5=⫖↰⪸-1408","layer":3},{"info":"⫖↰⪸-1408≝⊰⇂=⫖↰⪸-2906","layer":2},{"info":"⫖↰⪸86A⊱⇼⊻⫖↰⪸-2906=⫖↰⪸458A","layer":1},{"info":"⫖↰⪸3184⨳⩥⨓⫖↰⪸41A9=⫖↰⪸1025","layer":3},{"info":"⫖↰⪸4077≃⫖↰⪸B38=⫖↰⪸-14298","layer":3},{"info":"⫖↰⪸1025⪘⫢⫖↰⪸-14298=⫖↰⪸-1","layer":2},{"info":"≇⪴⫖↰⪸-1=⫖↰⪸-4","layer":1},{"info":"⫖↰⪸458A⩇∃⫛⫖↰⪸-4=⫖↰⪸-4259","layer":0}]}
{"id":248,"expression_no_base_symbol":"($6258$⫲≸⪮$2641$)⪬($1925$⊹∫⫚$4224$)∌($4429$⨸$6467$⋳⪒$5131$⩚⊴⇥$1063$)⨪↰⇹(($6698$⨲)⫣⪄⊒($5242$⪇≇⋚$4342$)⇡)","expression":"(⫖↰⪸3756⫲≸⪮⫖↰⪸1641)⪬(⫖↰⪸1145⊹∫⫚⫖↰⪸2540)∌(⫖↰⪸2691⨸⫖↰⪸38AB⋳⪒⫖↰⪸2B77⩚⊴⇥⫖↰⪸747)⨪↰⇹((⫖↰⪸3A62⨲)⫣⪄⊒(⫖↰⪸304A⪇≇⋚⫖↰⪸261A)⇡)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36890,"operation_count":12,"complexity_ratio":3074.1666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6258,"base":12},"right_expr":{"type":"numeric_atoms","value":2641,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1925,"base":12},"right_expr":{"type":"numeric_atoms","value":4224,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4429,"base":12},"right_expr":{"type":"numeric_atoms","value":6467,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5131,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":6698,"base":12}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5242,"base":12},"right_expr":{"type":"numeric_atoms","value":4342,"base":12}}}}},"used_operators":["tmPS8pqC7x","8cLx32lpNA","Ez1Nq5fNfI","P3lXMJvFrc","uWAJUKEvyW","12rbrZMWeM","KmoU8R5UQR","NTOWxs364D","UqFzSgLMvQ","RabNbG55vr","nLYMGWM7L8","3sJ7IOPOlU"],"dependent_operators":["rJVOvQCfKK","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⫖↰⪸-118A8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6258","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=6258, right_input=2641, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6258","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=4224, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-132","layer":3},{"info":"compute binary expreesion, left_input=6258, right_input=-132, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=4429","layer":4},{"info":"number node, value=6467","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=6467, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8858","layer":3},{"info":"number node, value=5131","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=5131, right_input=1063, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6315","layer":3},{"info":"compute binary expreesion, left_input=8858, right_input=-6315, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=23744","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=23744, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-23744","layer":1},{"info":"number node, value=6698","layer":4},{"info":"compute unary expreesion, input=6698, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":3},{"info":"number node, value=5242","layer":4},{"info":"number node, value=4342","layer":4},{"info":"compute binary expreesion, left_input=5242, right_input=4342, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute binary expreesion, left_input=-23744, right_input=-2917, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-23744","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3756⫲≸⪮⫖↰⪸1641)⪬(⫖↰⪸1145⊹∫⫚⫖↰⪸2540)∌(⫖↰⪸2691⨸⫖↰⪸38AB⋳⪒⫖↰⪸2B77⩚⊴⇥⫖↰⪸747)⨪↰⇹((⫖↰⪸3A62⨲)⫣⪄⊒(⫖↰⪸304A⪇≇⋚⫖↰⪸261A)⇡)=⫖↰⪸-118A8","reverse_text":"⫖↰⪸-118A8=(⫖↰⪸3756⫲≸⪮⫖↰⪸1641)⪬(⫖↰⪸1145⊹∫⫚⫖↰⪸2540)∌(⫖↰⪸2691⨸⫖↰⪸38AB⋳⪒⫖↰⪸2B77⩚⊴⇥⫖↰⪸747)⨪↰⇹((⫖↰⪸3A62⨲)⫣⪄⊒(⫖↰⪸304A⪇≇⋚⫖↰⪸261A)⇡)","cot":[{"info":"⫖↰⪸3756⫲≸⪮⫖↰⪸1641=⫖↰⪸3756","layer":3},{"info":"⫖↰⪸1145⊹∫⫚⫖↰⪸2540=⫖↰⪸-B0","layer":3},{"info":"⫖↰⪸3756⪬⫖↰⪸-B0=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸2691⨸⫖↰⪸38AB=⫖↰⪸5162","layer":3},{"info":"⫖↰⪸2B77⩚⊴⇥⫖↰⪸747=⫖↰⪸-37A3","layer":3},{"info":"⫖↰⪸5162⋳⪒⫖↰⪸-37A3=⫖↰⪸118A8","layer":2},{"info":"⫖↰⪸86A∌⫖↰⪸118A8=⫖↰⪸-118A8","layer":1},{"info":"⫖↰⪸3A62⨲=NaN","layer":3},{"info":"⫖↰⪸304A⪇≇⋚⫖↰⪸261A=⫖↰⪸0","layer":3},{"info":"NaN⫣⪄⊒⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⇡=⫖↰⪸-1831","layer":1},{"info":"⫖↰⪸-118A8⨪↰⇹⫖↰⪸-1831=⫖↰⪸-118A8","layer":0}]}
{"id":249,"expression_no_base_symbol":"↥≼⋛(($2537$∀⋜↑)⫘($2179$+$4584$)⪨≂(⪛⨧($1716$⨸⪁$7510$)))","expression":"↥≼⋛((⫖↰⪸1575∀⋜↑)⫘(⫖↰⪸1317+⫖↰⪸27A0)⪨≂(⪛⨧(⫖↰⪸BB0⨸⪁⫖↰⪸441A)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":734,"operation_count":7,"complexity_ratio":104.85714285714286,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2537,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2179,"base":12},"right_expr":{"type":"numeric_atoms","value":4584,"base":12}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1716,"base":12},"right_expr":{"type":"numeric_atoms","value":7510,"base":12}}}}},"used_operators":["x5lMkHmzsq","sdazOOVcIp","48vC8HMD2b","KipPnG1M2J","W4YGzv6Whe","6NJAcO2OWT","g55IO6H4Gj"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe"],"result":"⫖↰⪸-95","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2537","layer":4},{"info":"compute unary expreesion, input=2537, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=2179","layer":4},{"info":"number node, value=4584","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=4584, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6763","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=6763, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2124179","layer":2},{"info":"number node, value=1716","layer":4},{"info":"number node, value=7510","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=7510, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18452","layer":3},{"info":"compute unary expreesion, input=18452, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=38305","layer":2},{"info":"compute binary expreesion, left_input=2124179, right_input=38305, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4171850","layer":1},{"info":"compute unary expreesion, input=4171850, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":12,"result_base":12,"text":"↥≼⋛((⫖↰⪸1575∀⋜↑)⫘(⫖↰⪸1317+⫖↰⪸27A0)⪨≂(⪛⨧(⫖↰⪸BB0⨸⪁⫖↰⪸441A)))=⫖↰⪸-95","reverse_text":"⫖↰⪸-95=↥≼⋛((⫖↰⪸1575∀⋜↑)⫘(⫖↰⪸1317+⫖↰⪸27A0)⪨≂(⪛⨧(⫖↰⪸BB0⨸⪁⫖↰⪸441A)))","cot":[{"info":"⫖↰⪸1575∀⋜↑=⫖↰⪸-344","layer":3},{"info":"⫖↰⪸1317+⫖↰⪸27A0=⫖↰⪸3AB7","layer":3},{"info":"⫖↰⪸-344⫘⫖↰⪸3AB7=⫖↰⪸86532B","layer":2},{"info":"⫖↰⪸BB0⨸⪁⫖↰⪸441A=⫖↰⪸A818","layer":3},{"info":"⪛⨧⫖↰⪸A818=⫖↰⪸1A201","layer":2},{"info":"⫖↰⪸86532B⪨≂⫖↰⪸1A201=⫖↰⪸1492322","layer":1},{"info":"↥≼⋛⫖↰⪸1492322=⫖↰⪸-95","layer":0}]}
{"id":250,"expression_no_base_symbol":"((⋂$5742$)∊∟⩊(⫓⪴$2318$))∴(⪭⩑⪱(⫓⪴$2447$))⫚↹⊑(⫡⇟⇯($1687$∕⩚$1884$))⊭↱$1561$⇻⋧≁$1632$∓⋝(⊑$5049$)","expression":"((⋂⫖↰⪸33A6)∊∟⩊(⫓⪴⫖↰⪸1412))∴(⪭⩑⪱(⫓⪴⫖↰⪸14BB))⫚↹⊑(⫡⇟⇯(⫖↰⪸B87∕⩚⫖↰⪸1110))⊭↱⫖↰⪸AA1⇻⋧≁⫖↰⪸B40∓⋝(⊑⫖↰⪸2B09)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9381,"operation_count":13,"complexity_ratio":721.6153846153846,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":5742,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2318,"base":12}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2447,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1687,"base":12},"right_expr":{"type":"numeric_atoms","value":1884,"base":12}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1561,"base":12},"right_expr":{"type":"numeric_atoms","value":1632,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":5049,"base":12}}}}},"used_operators":["dfKe02y8D2","hrf7POJlIJ","ddLRYrp01A","BUOGQAYlQx","eLxqMNBOBk","SIgE0bArFf","COABgblf1C","qWUSsah53b","z9ffQ9n5Zr","PoHhknlbAi","jCPkEVoL5K","IkUmn0D7oy"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9HNa5Wba9A","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5742","layer":4},{"info":"compute unary expreesion, input=5742, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-79792","layer":3},{"info":"number node, value=2318","layer":4},{"info":"compute unary expreesion, input=2318, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5373124","layer":3},{"info":"compute binary expreesion, left_input=-79792, right_input=5373124, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5373124","layer":2},{"info":"number node, value=2447","layer":4},{"info":"compute unary expreesion, input=2447, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5987809","layer":3},{"info":"compute unary expreesion, input=5987809, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=5373124, right_input=8320752, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=10747896","layer":1},{"info":"number node, value=1687","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=1884, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1690","layer":3},{"info":"compute unary expreesion, input=-1690, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2558","layer":2},{"info":"number node, value=1561","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=1632, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=5049","layer":4},{"info":"compute unary expreesion, input=5049, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=192, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3642","layer":2},{"info":"compute binary expreesion, left_input=2558, right_input=-3642, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12395","layer":1},{"info":"compute binary expreesion, left_input=10747896, right_input=-12395, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":12,"result_base":12,"text":"((⋂⫖↰⪸33A6)∊∟⩊(⫓⪴⫖↰⪸1412))∴(⪭⩑⪱(⫓⪴⫖↰⪸14BB))⫚↹⊑(⫡⇟⇯(⫖↰⪸B87∕⩚⫖↰⪸1110))⊭↱⫖↰⪸AA1⇻⋧≁⫖↰⪸B40∓⋝(⊑⫖↰⪸2B09)=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=((⋂⫖↰⪸33A6)∊∟⩊(⫓⪴⫖↰⪸1412))∴(⪭⩑⪱(⫓⪴⫖↰⪸14BB))⫚↹⊑(⫡⇟⇯(⫖↰⪸B87∕⩚⫖↰⪸1110))⊭↱⫖↰⪸AA1⇻⋧≁⫖↰⪸B40∓⋝(⊑⫖↰⪸2B09)","cot":[{"info":"⋂⫖↰⪸33A6=⫖↰⪸-3A214","layer":3},{"info":"⫓⪴⫖↰⪸1412=⫖↰⪸1971544","layer":3},{"info":"⫖↰⪸-3A214∊∟⩊⫖↰⪸1971544=⫖↰⪸1971544","layer":2},{"info":"⫓⪴⫖↰⪸14BB=⫖↰⪸2009201","layer":3},{"info":"⪭⩑⪱⫖↰⪸2009201=⫖↰⪸2953300","layer":2},{"info":"⫖↰⪸1971544∴⫖↰⪸2953300=⫖↰⪸3723A20","layer":1},{"info":"⫖↰⪸B87∕⩚⫖↰⪸1110=⫖↰⪸-B8A","layer":3},{"info":"⫡⇟⇯⫖↰⪸-B8A=⫖↰⪸1592","layer":2},{"info":"⫖↰⪸AA1⇻⋧≁⫖↰⪸B40=⫖↰⪸-313","layer":3},{"info":"⊑⫖↰⪸2B09=⫖↰⪸140","layer":3},{"info":"⫖↰⪸-313∓⋝⫖↰⪸140=⫖↰⪸-2136","layer":2},{"info":"⫖↰⪸1592⊭↱⫖↰⪸-2136=⫖↰⪸-720B","layer":1},{"info":"⫖↰⪸3723A20⫚↹⊑⫖↰⪸-720B=⫖↰⪸-313","layer":0}]}
{"id":251,"expression_no_base_symbol":"((∜⨇($3585$⨸⪁$1598$))*($3287$⩦$1639$⊭↱(∜⨇$2810$)))⩺⪪(($2042$⊮⊟↴$6921$⩅⪻⪻)⩹($7018$⊍⩺⋍$3532$)⇣⩺⋵$1378$∥⊢⊲$3680$)","expression":"((∜⨇(⫖↰⪸20A9⨸⪁⫖↰⪸B12))*(⫖↰⪸1A9B⩦⫖↰⪸B47⊭↱(∜⨇⫖↰⪸1762)))⩺⪪((⫖↰⪸1222⊮⊟↴⫖↰⪸4009⩅⪻⪻)⩹(⫖↰⪸408A⊍⩺⋍⫖↰⪸2064)⇣⩺⋵⫖↰⪸96A∥⊢⊲⫖↰⪸2168)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":650,"operation_count":13,"complexity_ratio":50.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3585,"base":12},"right_expr":{"type":"numeric_atoms","value":1598,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3287,"base":12},"right_expr":{"type":"numeric_atoms","value":1639,"base":12}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2810,"base":12}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2042,"base":12},"right_expr":{"type":"numeric_atoms","value":6921,"base":12}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":7018,"base":12},"right_expr":{"type":"numeric_atoms","value":3532,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1378,"base":12},"right_expr":{"type":"numeric_atoms","value":3680,"base":12}}}}},"used_operators":["uvdQJvN4PV","9HNa5Wba9A","uFPyJr306J","g55IO6H4Gj","COABgblf1C","0kmYd0q39Y","2Wsdkap16l","kHoXpA7yos","QDVgd2eftb","F4yD0voBRQ","OXDGMFPWZM","v1UQAVDJRr"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3585","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=1598, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10366","layer":3},{"info":"compute unary expreesion, input=10366, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=3287","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=3287, right_input=1639, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6574","layer":3},{"info":"number node, value=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6574, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2042","layer":4},{"info":"number node, value=6921","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=6921, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=575","layer":2},{"info":"number node, value=7018","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=7018, right_input=3532, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=3680","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=3680, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=575, right_input=-260, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-262, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∜⨇(⫖↰⪸20A9⨸⪁⫖↰⪸B12))*(⫖↰⪸1A9B⩦⫖↰⪸B47⊭↱(∜⨇⫖↰⪸1762)))⩺⪪((⫖↰⪸1222⊮⊟↴⫖↰⪸4009⩅⪻⪻)⩹(⫖↰⪸408A⊍⩺⋍⫖↰⪸2064)⇣⩺⋵⫖↰⪸96A∥⊢⊲⫖↰⪸2168)=NaN","reverse_text":"NaN=((∜⨇(⫖↰⪸20A9⨸⪁⫖↰⪸B12))*(⫖↰⪸1A9B⩦⫖↰⪸B47⊭↱(∜⨇⫖↰⪸1762)))⩺⪪((⫖↰⪸1222⊮⊟↴⫖↰⪸4009⩅⪻⪻)⩹(⫖↰⪸408A⊍⩺⋍⫖↰⪸2064)⇣⩺⋵⫖↰⪸96A∥⊢⊲⫖↰⪸2168)","cot":[{"info":"⫖↰⪸20A9⨸⪁⫖↰⪸B12=⫖↰⪸5BBA","layer":3},{"info":"∜⨇⫖↰⪸5BBA=NaN","layer":2},{"info":"⫖↰⪸1A9B⩦⫖↰⪸B47=⫖↰⪸397A","layer":3},{"info":"∜⨇⫖↰⪸1762=NaN","layer":3},{"info":"⫖↰⪸397A⊭↱NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⫖↰⪸1222⊮⊟↴⫖↰⪸4009=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩅⪻⪻=⫖↰⪸3BB","layer":2},{"info":"⫖↰⪸408A⊍⩺⋍⫖↰⪸2064=NaN","layer":3},{"info":"⫖↰⪸96A∥⊢⊲⫖↰⪸2168=NaN","layer":3},{"info":"NaN⇣⩺⋵NaN=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸3BB⩹⫖↰⪸-198=⫖↰⪸-19A","layer":1},{"info":"NaN⩺⪪⫖↰⪸-19A=NaN","layer":0}]}
{"id":252,"expression_no_base_symbol":"(⪲⇎(↣≠⋷$1201$)⨐⩸⫘$1089$⇷$1893$)⩇∃⫛$6560$⨽∌$6973$⪎↠(⊊≼∋$3053$)⨚($2749$⫲≸⪮$4923$≚⋢)","expression":"(⪲⇎(↣≠⋷⫖↰⪸841)⨐⩸⫘⫖↰⪸769⇷⫖↰⪸1119)⩇∃⫛⫖↰⪸3968⨽∌⫖↰⪸4051⪎↠(⊊≼∋⫖↰⪸1925)⨚(⫖↰⪸1711⫲≸⪮⫖↰⪸2A23≚⋢)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21269,"operation_count":11,"complexity_ratio":1933.5454545454545,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1201,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1089,"base":12},"right_expr":{"type":"numeric_atoms","value":1893,"base":12}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6560,"base":12},"right_expr":{"type":"numeric_atoms","value":6973,"base":12}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3053,"base":12}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2749,"base":12},"right_expr":{"type":"numeric_atoms","value":4923,"base":12}}}}},"used_operators":["1aApVXNlOP","XPYlsWDdGa","fu6greOZ01","Asc51vEJeQ","mp7IySMOzn","nREPSIbpBE","3tVxb0NHM4","9samAPKr6k","FWz7pXsQhA","MahUMFw56D","P3lXMJvFrc"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","B5M0gjZbta","jCPkEVoL5K","3ViojmjbAp","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1893, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3786","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3786, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=6560","layer":4},{"info":"number node, value=6973","layer":4},{"info":"compute binary expreesion, left_input=6560, right_input=6973, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3053","layer":4},{"info":"compute unary expreesion, input=3053, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"number node, value=2749","layer":4},{"info":"number node, value=4923","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=4923, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2749","layer":3},{"info":"compute unary expreesion, input=2749, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-89, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=3026","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3026, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎(↣≠⋷⫖↰⪸841)⨐⩸⫘⫖↰⪸769⇷⫖↰⪸1119)⩇∃⫛⫖↰⪸3968⨽∌⫖↰⪸4051⪎↠(⊊≼∋⫖↰⪸1925)⨚(⫖↰⪸1711⫲≸⪮⫖↰⪸2A23≚⋢)=NaN","reverse_text":"NaN=(⪲⇎(↣≠⋷⫖↰⪸841)⨐⩸⫘⫖↰⪸769⇷⫖↰⪸1119)⩇∃⫛⫖↰⪸3968⨽∌⫖↰⪸4051⪎↠(⊊≼∋⫖↰⪸1925)⨚(⫖↰⪸1711⫲≸⪮⫖↰⪸2A23≚⋢)","cot":[{"info":"↣≠⋷⫖↰⪸841=NaN","layer":3},{"info":"⫖↰⪸769⇷⫖↰⪸1119=⫖↰⪸2236","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸2236=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⫖↰⪸3968⨽∌⫖↰⪸4051=⫖↰⪸0","layer":3},{"info":"⊊≼∋⫖↰⪸1925=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸0⪎↠⫖↰⪸-313=⫖↰⪸604","layer":2},{"info":"⫖↰⪸1711⫲≸⪮⫖↰⪸2A23=⫖↰⪸1711","layer":3},{"info":"⫖↰⪸1711≚⋢=⫖↰⪸-75","layer":2},{"info":"⫖↰⪸604⨚⫖↰⪸-75=⫖↰⪸1902","layer":1},{"info":"NaN⩇∃⫛⫖↰⪸1902=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"(($1763$⇟⨁⪰)⩇∃⫛($6399$⋻⩜⩜$2166$))↞⋁(($2249$⋳⪒$5375$)⪕($2708$*$1380$))≹⇙⪍(∨∊⋏($2684$⨿$3107$))↳≱(($8595$↑)⨼⩣(⇜⊴$3120$))","expression":"((⫖↰⪸102B⇟⨁⪰)⩇∃⫛(⫖↰⪸3853⋻⩜⩜⫖↰⪸1306))↞⋁((⫖↰⪸1375⋳⪒⫖↰⪸313B)⪕(⫖↰⪸1698*⫖↰⪸970))≹⇙⪍(∨∊⋏(⫖↰⪸1678⨿⫖↰⪸196B))↳≱((⫖↰⪸4B83↑)⨼⩣(⇜⊴⫖↰⪸1980))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2200538,"operation_count":14,"complexity_ratio":157181.2857142857,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1763,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6399,"base":12},"right_expr":{"type":"numeric_atoms","value":2166,"base":12}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2249,"base":12},"right_expr":{"type":"numeric_atoms","value":5375,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2708,"base":12},"right_expr":{"type":"numeric_atoms","value":1380,"base":12}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2684,"base":12},"right_expr":{"type":"numeric_atoms","value":3107,"base":12}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":8595,"base":12}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3120,"base":12}}}}},"used_operators":["AHs5Up7iyr","RqrPlJkxDo","1aApVXNlOP","BX1lVwlMe0","oDCm7WA9JY","umQnsF7QlU","12rbrZMWeM","9HNa5Wba9A","JwTKLfZU96","R5aXW34M0v","abYXlopdE0","JxwMv5le6e","BThhyOhh10","XwDhCwWbUn"],"dependent_operators":["dWAJyo7jo9","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2DDjHMKMc0","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":4},{"info":"compute unary expreesion, input=1763, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1937","layer":3},{"info":"number node, value=6399","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=6399, right_input=2166, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=12798","layer":3},{"info":"compute binary expreesion, left_input=-1937, right_input=12798, 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=-1937","layer":2},{"info":"number node, value=2249","layer":4},{"info":"number node, value=5375","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=5375, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1164","layer":3},{"info":"number node, value=2708","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=2708, right_input=1380, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3737040","layer":3},{"info":"compute binary expreesion, left_input=-1164, right_input=3737040, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-1937, right_input=-55, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=2684","layer":4},{"info":"number node, value=3107","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=3107, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-19421","layer":2},{"info":"number node, value=8595","layer":4},{"info":"compute unary expreesion, input=8595, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=3120","layer":4},{"info":"compute unary expreesion, input=3120, 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=-722606","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=-722606, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-19421, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":12,"result_base":12,"text":"((⫖↰⪸102B⇟⨁⪰)⩇∃⫛(⫖↰⪸3853⋻⩜⩜⫖↰⪸1306))↞⋁((⫖↰⪸1375⋳⪒⫖↰⪸313B)⪕(⫖↰⪸1698*⫖↰⪸970))≹⇙⪍(∨∊⋏(⫖↰⪸1678⨿⫖↰⪸196B))↳≱((⫖↰⪸4B83↑)⨼⩣(⇜⊴⫖↰⪸1980))=NaN","reverse_text":"NaN=((⫖↰⪸102B⇟⨁⪰)⩇∃⫛(⫖↰⪸3853⋻⩜⩜⫖↰⪸1306))↞⋁((⫖↰⪸1375⋳⪒⫖↰⪸313B)⪕(⫖↰⪸1698*⫖↰⪸970))≹⇙⪍(∨∊⋏(⫖↰⪸1678⨿⫖↰⪸196B))↳≱((⫖↰⪸4B83↑)⨼⩣(⇜⊴⫖↰⪸1980))","cot":[{"info":"⫖↰⪸102B⇟⨁⪰=⫖↰⪸-1155","layer":3},{"info":"⫖↰⪸3853⋻⩜⩜⫖↰⪸1306=⫖↰⪸74A6","layer":3},{"info":"⫖↰⪸-1155⩇∃⫛⫖↰⪸74A6=⫖↰⪸-1155","layer":2},{"info":"⫖↰⪸1375⋳⪒⫖↰⪸313B=⫖↰⪸-810","layer":3},{"info":"⫖↰⪸1698*⫖↰⪸970=⫖↰⪸1302780","layer":3},{"info":"⫖↰⪸-810⪕⫖↰⪸1302780=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸-1155↞⋁⫖↰⪸-47=NaN","layer":1},{"info":"⫖↰⪸1678⨿⫖↰⪸196B=⫖↰⪸-227","layer":3},{"info":"∨∊⋏⫖↰⪸-227=⫖↰⪸-B2A5","layer":2},{"info":"⫖↰⪸4B83↑=⫖↰⪸166","layer":3},{"info":"⇜⊴⫖↰⪸1980=⫖↰⪸-2AA212","layer":3},{"info":"⫖↰⪸166⨼⩣⫖↰⪸-2AA212=NaN","layer":2},{"info":"⫖↰⪸-B2A5↳≱NaN=⫖↰⪸0","layer":1},{"info":"NaN≹⇙⪍⫖↰⪸0=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"($6788$∴≳≥)≁↽≥($2053$∣$1265$)⫉⨲⊜($2020$⪎↠$1951$∷(↴⪽⋼$1354$))⪚(($8931$⋥⋵⩄$6377$⫸⇳$1480$→⨶⪴$1011$)⫭)","expression":"(⫖↰⪸3B18∴≳≥)≁↽≥(⫖↰⪸1231∣⫖↰⪸895)⫉⨲⊜(⫖↰⪸1204⪎↠⫖↰⪸1167∷(↴⪽⋼⫖↰⪸94A))⪚((⫖↰⪸5203⋥⋵⩄⫖↰⪸3835⫸⇳⫖↰⪸A34→⨶⪴⫖↰⪸703)⫭)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":144,"operation_count":12,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":6788,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2053,"base":12},"right_expr":{"type":"numeric_atoms","value":1265,"base":12}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2020,"base":12},"right_expr":{"type":"numeric_atoms","value":1951,"base":12}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1354,"base":12}}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":8931,"base":12},"right_expr":{"type":"numeric_atoms","value":6377,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1480,"base":12},"right_expr":{"type":"numeric_atoms","value":1011,"base":12}}}}},"used_operators":["HrjLwUk87U","WhqkvtTD3t","ncHt1X6cMc","a3N2hFLK0J","PPChnnnBFF","D3AQDKkPcf","3tVxb0NHM4","5TUYCnJO6w","t4WUHVGj7f","gx7XJ7hdpj","7t3wd0Fuz7","bF6eod5Gvf"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eewbuw0ToL","zVYPLywUTj","oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","8w2t5hMYqp","9FxExcQeMw"],"result":"⫖↰⪸-59A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6788","layer":4},{"info":"compute unary expreesion, input=6788, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=27152","layer":3},{"info":"number node, value=2053","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=1265, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2053","layer":3},{"info":"compute binary expreesion, left_input=27152, right_input=2053, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=358714","layer":2},{"info":"number node, value=2020","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1951, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1354","layer":4},{"info":"compute unary expreesion, input=1354, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1354","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1354, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1354","layer":2},{"info":"compute binary expreesion, left_input=358714, right_input=1354, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=8931","layer":4},{"info":"number node, value=6377","layer":4},{"info":"compute binary expreesion, left_input=8931, right_input=6377, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1011, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3033","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-3033, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=241","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=241, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-838","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3B18∴≳≥)≁↽≥(⫖↰⪸1231∣⫖↰⪸895)⫉⨲⊜(⫖↰⪸1204⪎↠⫖↰⪸1167∷(↴⪽⋼⫖↰⪸94A))⪚((⫖↰⪸5203⋥⋵⩄⫖↰⪸3835⫸⇳⫖↰⪸A34→⨶⪴⫖↰⪸703)⫭)=⫖↰⪸-59A","reverse_text":"⫖↰⪸-59A=(⫖↰⪸3B18∴≳≥)≁↽≥(⫖↰⪸1231∣⫖↰⪸895)⫉⨲⊜(⫖↰⪸1204⪎↠⫖↰⪸1167∷(↴⪽⋼⫖↰⪸94A))⪚((⫖↰⪸5203⋥⋵⩄⫖↰⪸3835⫸⇳⫖↰⪸A34→⨶⪴⫖↰⪸703)⫭)","cot":[{"info":"⫖↰⪸3B18∴≳≥=⫖↰⪸13868","layer":3},{"info":"⫖↰⪸1231∣⫖↰⪸895=⫖↰⪸1231","layer":3},{"info":"⫖↰⪸13868≁↽≥⫖↰⪸1231=⫖↰⪸15370A","layer":2},{"info":"⫖↰⪸1204⪎↠⫖↰⪸1167=⫖↰⪸114","layer":3},{"info":"↴⪽⋼⫖↰⪸94A=⫖↰⪸94A","layer":3},{"info":"⫖↰⪸114∷⫖↰⪸94A=⫖↰⪸94A","layer":2},{"info":"⫖↰⪸15370A⫉⨲⊜⫖↰⪸94A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸5203⋥⋵⩄⫖↰⪸3835=⫖↰⪸95","layer":3},{"info":"⫖↰⪸A34→⨶⪴⫖↰⪸703=⫖↰⪸-1909","layer":3},{"info":"⫖↰⪸95⫸⇳⫖↰⪸-1909=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⫭=⫖↰⪸181","layer":1},{"info":"⫖↰⪸0⪚⫖↰⪸181=⫖↰⪸-59A","layer":0}]}
{"id":255,"expression_no_base_symbol":"→⩰(⊥(($2376$⋅⇍$6347$)⫰⋱($8286$⨵⪆$1073$)))","expression":"→⩰(⊥((⫖↰⪸1460⋅⇍⫖↰⪸380B)⫰⋱(⫖↰⪸4966⨵⪆⫖↰⪸755)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3815,"operation_count":5,"complexity_ratio":763.0,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2376,"base":12},"right_expr":{"type":"numeric_atoms","value":6347,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8286,"base":12},"right_expr":{"type":"numeric_atoms","value":1073,"base":12}}}}},"used_operators":["o8Pngz0Tml","Q3PJZHRvZv","6o9Blt3TJ6","AdZkA7nFnk","2DQ55sFlQl"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","fu6greOZ01","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2376","layer":4},{"info":"number node, value=6347","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=6347, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=8286","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=8286, right_input=1073, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=55","layer":2},{"info":"compute unary expreesion, input=55, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-58","layer":1},{"info":"compute unary expreesion, input=-58, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"→⩰(⊥((⫖↰⪸1460⋅⇍⫖↰⪸380B)⫰⋱(⫖↰⪸4966⨵⪆⫖↰⪸755)))=NaN","reverse_text":"NaN=→⩰(⊥((⫖↰⪸1460⋅⇍⫖↰⪸380B)⫰⋱(⫖↰⪸4966⨵⪆⫖↰⪸755)))","cot":[{"info":"⫖↰⪸1460⋅⇍⫖↰⪸380B=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸4966⨵⪆⫖↰⪸755=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-1A⫰⋱⫖↰⪸114=⫖↰⪸47","layer":2},{"info":"⊥⫖↰⪸47=⫖↰⪸-4A","layer":1},{"info":"→⩰⫖↰⪸-4A=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"(⩩($4818$⨰$4472$))⊲⩕⊾(∡$1934$⇡⇂$3389$)-(≔($1102$*$4149$))⇣⩺⋵($5199$⪃⊛⇣$2539$≓∲$2466$↙$4601$)","expression":"(⩩(⫖↰⪸2956⨰⫖↰⪸2708))⊲⩕⊾(∡⫖↰⪸1152⇡⇂⫖↰⪸1B65)-(≔(⫖↰⪸77A*⫖↰⪸2499))⇣⩺⋵(⫖↰⪸3013⪃⊛⇣⫖↰⪸1577≓∲⫖↰⪸1516↙⫖↰⪸27B5)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":151163,"operation_count":12,"complexity_ratio":12596.916666666666,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4818,"base":12},"right_expr":{"type":"numeric_atoms","value":4472,"base":12}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1934,"base":12},"right_expr":{"type":"numeric_atoms","value":3389,"base":12}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1102,"base":12},"right_expr":{"type":"numeric_atoms","value":4149,"base":12}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5199,"base":12},"right_expr":{"type":"numeric_atoms","value":2539,"base":12}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2466,"base":12},"right_expr":{"type":"numeric_atoms","value":4601,"base":12}}}}},"used_operators":["rysDP5nf3Z","DmTXOeWf9t","kMhfGuqI2H","eewbuw0ToL","pRsWfj4Fpp","UMwdvZNt44","F4yD0voBRQ","8FLs4eVsLt","9HNa5Wba9A","s1XTVnmDOJ","rrgAzCduG9","yyfyN0ffXY"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4818","layer":4},{"info":"number node, value=4472","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=4472, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=356","layer":3},{"info":"compute unary expreesion, input=356, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1934","layer":4},{"info":"number node, value=3389","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=3389, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=1102","layer":4},{"info":"number node, value=4149","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=4149, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4572198","layer":3},{"info":"compute unary expreesion, input=4572198, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-128020250","layer":2},{"info":"number node, value=5199","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=5199, right_input=2539, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=4601","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=4601, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13803","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-13803, 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=350089","layer":2},{"info":"compute binary expreesion, left_input=-128020250, right_input=350089, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-512781116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-512781116, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩩(⫖↰⪸2956⨰⫖↰⪸2708))⊲⩕⊾(∡⫖↰⪸1152⇡⇂⫖↰⪸1B65)-(≔(⫖↰⪸77A*⫖↰⪸2499))⇣⩺⋵(⫖↰⪸3013⪃⊛⇣⫖↰⪸1577≓∲⫖↰⪸1516↙⫖↰⪸27B5)=NaN","reverse_text":"NaN=(⩩(⫖↰⪸2956⨰⫖↰⪸2708))⊲⩕⊾(∡⫖↰⪸1152⇡⇂⫖↰⪸1B65)-(≔(⫖↰⪸77A*⫖↰⪸2499))⇣⩺⋵(⫖↰⪸3013⪃⊛⇣⫖↰⪸1577≓∲⫖↰⪸1516↙⫖↰⪸27B5)","cot":[{"info":"⫖↰⪸2956⨰⫖↰⪸2708=⫖↰⪸258","layer":3},{"info":"⩩⫖↰⪸258=NaN","layer":2},{"info":"⫖↰⪸1152⇡⇂⫖↰⪸1B65=NaN","layer":3},{"info":"∡NaN=NaN","layer":2},{"info":"NaN⊲⩕⊾NaN=NaN","layer":1},{"info":"⫖↰⪸77A*⫖↰⪸2499=⫖↰⪸1645B46","layer":3},{"info":"≔⫖↰⪸1645B46=⫖↰⪸-36A59962","layer":2},{"info":"⫖↰⪸3013⪃⊛⇣⫖↰⪸1577=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1516↙⫖↰⪸27B5=⫖↰⪸-7BA3","layer":3},{"info":"⫖↰⪸86A≓∲⫖↰⪸-7BA3=⫖↰⪸14A721","layer":2},{"info":"⫖↰⪸-36A59962⇣⩺⋵⫖↰⪸14A721=⫖↰⪸-1238903B8","layer":1},{"info":"NaN-⫖↰⪸-1238903B8=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"($5237$∼$6053$∽$1323$≥⨤⩑$1209$)⨔≚≋$5603$↞⋁$2241$≝⊿(⇙⪊$1733$)⋅⇍(($1159$⋳⪒$2432$)≎⊠⪸(∥⊫$1923$)-$1329$∥⊢⊲$2382$⫸⇳($1717$⩵∡$3876$))","expression":"(⫖↰⪸3045∼⫖↰⪸3605∽⫖↰⪸923≥⨤⩑⫖↰⪸849)⨔≚≋⫖↰⪸32AB↞⋁⫖↰⪸1369≝⊿(⇙⪊⫖↰⪸1005)⋅⇍((⫖↰⪸807⋳⪒⫖↰⪸14A8)≎⊠⪸(∥⊫⫖↰⪸1143)-⫖↰⪸929∥⊢⊲⫖↰⪸1466⫸⇳(⫖↰⪸BB1⩵∡⫖↰⪸22B0))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":658,"operation_count":15,"complexity_ratio":43.86666666666667,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5237,"base":12},"right_expr":{"type":"numeric_atoms","value":6053,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1323,"base":12},"right_expr":{"type":"numeric_atoms","value":1209,"base":12}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5603,"base":12},"right_expr":{"type":"numeric_atoms","value":2241,"base":12}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1733,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1159,"base":12},"right_expr":{"type":"numeric_atoms","value":2432,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1923,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1329,"base":12},"right_expr":{"type":"numeric_atoms","value":2382,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1717,"base":12},"right_expr":{"type":"numeric_atoms","value":3876,"base":12}}}}},"used_operators":["AdZkA7nFnk","Z57zeUYC9z","y4ImoPnbV5","DyGG3AbaNP","gJLn6v0xnP","OKKcZfAt5B","RqrPlJkxDo","pB6Fcnrjim","rysDP5nf3Z","bJkvcejdHO","12rbrZMWeM","P8v4zCKN1o","gx7XJ7hdpj","v1UQAVDJRr","Y7wcNGrDQJ"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","12rbrZMWeM","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5237","layer":4},{"info":"number node, value=6053","layer":4},{"info":"compute binary expreesion, left_input=5237, right_input=6053, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1323","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=1209, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=5603","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=2241, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1733","layer":4},{"info":"compute unary expreesion, input=1733, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=1159","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=2432, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-401","layer":3},{"info":"number node, value=1923","layer":4},{"info":"compute unary expreesion, input=1923, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2791","layer":3},{"info":"compute binary expreesion, left_input=-401, right_input=2791, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=103859","layer":2},{"info":"number node, value=1329","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=2382, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1717","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=3876, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=321","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=321, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=103859, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3045∼⫖↰⪸3605∽⫖↰⪸923≥⨤⩑⫖↰⪸849)⨔≚≋⫖↰⪸32AB↞⋁⫖↰⪸1369≝⊿(⇙⪊⫖↰⪸1005)⋅⇍((⫖↰⪸807⋳⪒⫖↰⪸14A8)≎⊠⪸(∥⊫⫖↰⪸1143)-⫖↰⪸929∥⊢⊲⫖↰⪸1466⫸⇳(⫖↰⪸BB1⩵∡⫖↰⪸22B0))=NaN","reverse_text":"NaN=(⫖↰⪸3045∼⫖↰⪸3605∽⫖↰⪸923≥⨤⩑⫖↰⪸849)⨔≚≋⫖↰⪸32AB↞⋁⫖↰⪸1369≝⊿(⇙⪊⫖↰⪸1005)⋅⇍((⫖↰⪸807⋳⪒⫖↰⪸14A8)≎⊠⪸(∥⊫⫖↰⪸1143)-⫖↰⪸929∥⊢⊲⫖↰⪸1466⫸⇳(⫖↰⪸BB1⩵∡⫖↰⪸22B0))","cot":[{"info":"⫖↰⪸3045∼⫖↰⪸3605=NaN","layer":3},{"info":"⫖↰⪸923≥⨤⩑⫖↰⪸849=⫖↰⪸86A","layer":3},{"info":"NaN∽⫖↰⪸86A=NaN","layer":2},{"info":"⫖↰⪸32AB↞⋁⫖↰⪸1369=NaN","layer":3},{"info":"⇙⪊⫖↰⪸1005=⫖↰⪸0","layer":3},{"info":"NaN≝⊿⫖↰⪸0=NaN","layer":2},{"info":"NaN⨔≚≋NaN=NaN","layer":1},{"info":"⫖↰⪸807⋳⪒⫖↰⪸14A8=⫖↰⪸-295","layer":3},{"info":"∥⊫⫖↰⪸1143=⫖↰⪸1747","layer":3},{"info":"⫖↰⪸-295≎⊠⪸⫖↰⪸1747=⫖↰⪸5012B","layer":2},{"info":"⫖↰⪸929∥⊢⊲⫖↰⪸1466=NaN","layer":3},{"info":"⫖↰⪸BB1⩵∡⫖↰⪸22B0=⫖↰⪸229","layer":3},{"info":"NaN⫸⇳⫖↰⪸229=NaN","layer":2},{"info":"⫖↰⪸5012B-NaN=NaN","layer":1},{"info":"NaN⋅⇍NaN=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"(($1008$≦≮≮)⫁⪎(⊢≑≆$1100$))⪃⊛⇣(($2917$⫭)⫚↹⊑$3601$⇴∐$4925$)⊬⨰(⪨⨬($4336$⩷∴$4003$⇮⋭($1152$∙∹∝$1662$)))","expression":"((⫖↰⪸700≦≮≮)⫁⪎(⊢≑≆⫖↰⪸778))⪃⊛⇣((⫖↰⪸1831⫭)⫚↹⊑⫖↰⪸2101⇴∐⫖↰⪸2A25)⊬⨰(⪨⨬(⫖↰⪸2614⩷∴⫖↰⪸2397⇮⋭(⫖↰⪸800∙∹∝⫖↰⪸B66)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":738,"operation_count":12,"complexity_ratio":61.5,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1008,"base":12}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1100,"base":12}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2917,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3601,"base":12},"right_expr":{"type":"numeric_atoms","value":4925,"base":12}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4336,"base":12},"right_expr":{"type":"numeric_atoms","value":4003,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1152,"base":12},"right_expr":{"type":"numeric_atoms","value":1662,"base":12}}}}},"used_operators":["s3Fd5m9Dh2","rrgAzCduG9","xRrnTEsQ6j","D4vGDi5EA2","27wFxooxGf","dfKe02y8D2","t4WUHVGj7f","HnzytWxmAO","5obUd6DV38","vkpjKywKVM","9FxExcQeMw","HmxsFra2vL"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","T2fj7uvVaJ","nlCqmYiOvY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⫖↰⪸-1146","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3024","layer":3},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4852","layer":3},{"info":"compute binary expreesion, left_input=-3024, right_input=4852, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-7876","layer":2},{"info":"number node, value=2917","layer":4},{"info":"compute unary expreesion, input=2917, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=8992","layer":3},{"info":"number node, value=3601","layer":4},{"info":"number node, value=4925","layer":4},{"info":"compute binary expreesion, left_input=3601, right_input=4925, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8992, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-7876, right_input=-447, 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=4336","layer":4},{"info":"number node, value=4003","layer":4},{"info":"compute binary expreesion, left_input=4336, right_input=4003, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=634","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=1662, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=634, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-526, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-1926","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸700≦≮≮)⫁⪎(⊢≑≆⫖↰⪸778))⪃⊛⇣((⫖↰⪸1831⫭)⫚↹⊑⫖↰⪸2101⇴∐⫖↰⪸2A25)⊬⨰(⪨⨬(⫖↰⪸2614⩷∴⫖↰⪸2397⇮⋭(⫖↰⪸800∙∹∝⫖↰⪸B66)))=⫖↰⪸-1146","reverse_text":"⫖↰⪸-1146=((⫖↰⪸700≦≮≮)⫁⪎(⊢≑≆⫖↰⪸778))⪃⊛⇣((⫖↰⪸1831⫭)⫚↹⊑⫖↰⪸2101⇴∐⫖↰⪸2A25)⊬⨰(⪨⨬(⫖↰⪸2614⩷∴⫖↰⪸2397⇮⋭(⫖↰⪸800∙∹∝⫖↰⪸B66)))","cot":[{"info":"⫖↰⪸700≦≮≮=⫖↰⪸-1900","layer":3},{"info":"⊢≑≆⫖↰⪸778=⫖↰⪸2984","layer":3},{"info":"⫖↰⪸-1900⫁⪎⫖↰⪸2984=⫖↰⪸-4684","layer":2},{"info":"⫖↰⪸1831⫭=⫖↰⪸5254","layer":3},{"info":"⫖↰⪸2101⇴∐⫖↰⪸2A25=NaN","layer":3},{"info":"⫖↰⪸5254⫚↹⊑NaN=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸-4684⪃⊛⇣⫖↰⪸-313=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸2614⩷∴⫖↰⪸2397=⫖↰⪸44A","layer":3},{"info":"⫖↰⪸800∙∹∝⫖↰⪸B66=⫖↰⪸0","layer":3},{"info":"⫖↰⪸44A⇮⋭⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"⪨⨬⫖↰⪸-335=⫖↰⪸-37A","layer":1},{"info":"⫖↰⪸86A⊬⨰⫖↰⪸-37A=⫖↰⪸-1146","layer":0}]}
{"id":259,"expression_no_base_symbol":"((⨣⨃⇪($2137$⊉↱≁$4329$))⩖⊿$3310$⪃⊛⇣$5897$⪝($1197$⇟⨁⪰))⨥⫆((⊀$1450$)⪒$2350$⫘$1214$)⇻⋧≁(($2811$↫)⪒⊣⊆$5691$⩦$5340$)","expression":"((⨣⨃⇪(⫖↰⪸12A1⊉↱≁⫖↰⪸2609))⩖⊿⫖↰⪸1ABA⪃⊛⇣⫖↰⪸34B5⪝(⫖↰⪸839⇟⨁⪰))⨥⫆((⊀⫖↰⪸A0A)⪒⫖↰⪸143A⫘⫖↰⪸852)⇻⋧≁((⫖↰⪸1763↫)⪒⊣⊆⫖↰⪸3363⩦⫖↰⪸3110)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3854,"operation_count":14,"complexity_ratio":275.2857142857143,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2137,"base":12},"right_expr":{"type":"numeric_atoms","value":4329,"base":12}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3310,"base":12},"right_expr":{"type":"numeric_atoms","value":5897,"base":12}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1197,"base":12}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1450,"base":12}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2350,"base":12},"right_expr":{"type":"numeric_atoms","value":1214,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":2811,"base":12}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":5691,"base":12},"right_expr":{"type":"numeric_atoms","value":5340,"base":12}}}}},"used_operators":["yXekIHxTD4","RZ5CV9rWsJ","AcOhelriW5","w2P8NbNXyL","wicAB68Tmb","rrgAzCduG9","BX1lVwlMe0","jCPkEVoL5K","f6k1SAg4EE","oPMjh9089D","48vC8HMD2b","eRqsBgTDFp","uPb5QRN0te","0kmYd0q39Y"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2DDjHMKMc0","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","W4YGzv6Whe","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=4329, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-5718","layer":3},{"info":"compute unary expreesion, input=-5718, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=3310","layer":4},{"info":"number node, value=5897","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=5897, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1371","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-1371, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-10819","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=-10819, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-92254","layer":1},{"info":"number node, value=1450","layer":4},{"info":"compute unary expreesion, input=1450, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5538","layer":3},{"info":"number node, value=2350","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=1214, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2768005","layer":3},{"info":"compute binary expreesion, left_input=5538, right_input=2768005, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2773543","layer":2},{"info":"number node, value=2811","layer":4},{"info":"compute unary expreesion, input=2811, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=5691","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=5691, right_input=5340, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=11382","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=11382, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=320","layer":2},{"info":"compute binary expreesion, left_input=-2773543, right_input=320, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-24965264","layer":1},{"info":"compute binary expreesion, left_input=-92254, right_input=-24965264, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":12,"result_base":12,"text":"((⨣⨃⇪(⫖↰⪸12A1⊉↱≁⫖↰⪸2609))⩖⊿⫖↰⪸1ABA⪃⊛⇣⫖↰⪸34B5⪝(⫖↰⪸839⇟⨁⪰))⨥⫆((⊀⫖↰⪸A0A)⪒⫖↰⪸143A⫘⫖↰⪸852)⇻⋧≁((⫖↰⪸1763↫)⪒⊣⊆⫖↰⪸3363⩦⫖↰⪸3110)=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=((⨣⨃⇪(⫖↰⪸12A1⊉↱≁⫖↰⪸2609))⩖⊿⫖↰⪸1ABA⪃⊛⇣⫖↰⪸34B5⪝(⫖↰⪸839⇟⨁⪰))⨥⫆((⊀⫖↰⪸A0A)⪒⫖↰⪸143A⫘⫖↰⪸852)⇻⋧≁((⫖↰⪸1763↫)⪒⊣⊆⫖↰⪸3363⩦⫖↰⪸3110)","cot":[{"info":"⫖↰⪸12A1⊉↱≁⫖↰⪸2609=⫖↰⪸-3386","layer":3},{"info":"⨣⨃⇪⫖↰⪸-3386=⫖↰⪸991","layer":2},{"info":"⫖↰⪸1ABA⪃⊛⇣⫖↰⪸34B5=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸839⇟⨁⪰=⫖↰⪸-963","layer":3},{"info":"⫖↰⪸86A⪝⫖↰⪸-963=⫖↰⪸-6317","layer":2},{"info":"⫖↰⪸991⩖⊿⫖↰⪸-6317=⫖↰⪸-4547A","layer":1},{"info":"⊀⫖↰⪸A0A=⫖↰⪸3256","layer":3},{"info":"⫖↰⪸143A⫘⫖↰⪸852=⫖↰⪸B15A31","layer":3},{"info":"⫖↰⪸3256⪒⫖↰⪸B15A31=⫖↰⪸-B19087","layer":2},{"info":"⫖↰⪸1763↫=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3363⩦⫖↰⪸3110=⫖↰⪸6706","layer":3},{"info":"⫖↰⪸114⪒⊣⊆⫖↰⪸6706=⫖↰⪸228","layer":2},{"info":"⫖↰⪸-B19087⇻⋧≁⫖↰⪸228=⫖↰⪸-843B5A8","layer":1},{"info":"⫖↰⪸-4547A⨥⫆⫖↰⪸-843B5A8=⫖↰⪸-1","layer":0}]}
{"id":260,"expression_no_base_symbol":"($1327$⨽∌$2062$⪚($1075$⫲)⫩⊇)⨫⇇↔($3134$⫞⩸⩒$4996$∲⫓$1366$∛$2104$⪨≂(≸≮(⇁⨣⪵$2358$)))","expression":"(⫖↰⪸927⨽∌⫖↰⪸123A⪚(⫖↰⪸757⫲)⫩⊇)⨫⇇↔(⫖↰⪸1992⫞⩸⩒⫖↰⪸2A84∲⫓⫖↰⪸95A∛⫖↰⪸1274⪨≂(≸≮(⇁⨣⪵⫖↰⪸1446)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":247,"operation_count":11,"complexity_ratio":22.454545454545453,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":2062,"base":12}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1075,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3134,"base":12},"right_expr":{"type":"numeric_atoms","value":4996,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1366,"base":12},"right_expr":{"type":"numeric_atoms","value":2104,"base":12}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2358,"base":12}}}}},"used_operators":["LXhwmt4mBO","BjRHVeLaeN","HrjLwUk87U","9samAPKr6k","9xnGDUPbC6","sdazOOVcIp","i8ToyICDmI","XGcMNugi78","w2537kitQq","AljMvE3RRm","inkyxCbjAn"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","B5M0gjZbta"],"result":"⫖↰⪸-37B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=2062, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=802","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=802, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1960","layer":2},{"info":"compute unary expreesion, input=-1960, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2002","layer":1},{"info":"number node, value=3134","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=4996, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4996","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=2104, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=4996, right_input=-670, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4996","layer":2},{"info":"number node, value=2358","layer":4},{"info":"compute unary expreesion, input=2358, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4996, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2002, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸927⨽∌⫖↰⪸123A⪚(⫖↰⪸757⫲)⫩⊇)⨫⇇↔(⫖↰⪸1992⫞⩸⩒⫖↰⪸2A84∲⫓⫖↰⪸95A∛⫖↰⪸1274⪨≂(≸≮(⇁⨣⪵⫖↰⪸1446)))=⫖↰⪸-37B","reverse_text":"⫖↰⪸-37B=(⫖↰⪸927⨽∌⫖↰⪸123A⪚(⫖↰⪸757⫲)⫩⊇)⨫⇇↔(⫖↰⪸1992⫞⩸⩒⫖↰⪸2A84∲⫓⫖↰⪸95A∛⫖↰⪸1274⪨≂(≸≮(⇁⨣⪵⫖↰⪸1446)))","cot":[{"info":"⫖↰⪸927⨽∌⫖↰⪸123A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸757⫲=⫖↰⪸56A","layer":3},{"info":"⫖↰⪸0⪚⫖↰⪸56A=⫖↰⪸-1174","layer":2},{"info":"⫖↰⪸-1174⫩⊇=⫖↰⪸11AA","layer":1},{"info":"⫖↰⪸1992⫞⩸⩒⫖↰⪸2A84=⫖↰⪸2A84","layer":3},{"info":"⫖↰⪸95A∛⫖↰⪸1274=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸2A84∲⫓⫖↰⪸-47A=⫖↰⪸2A84","layer":2},{"info":"⇁⨣⪵⫖↰⪸1446=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"⫖↰⪸2A84⪨≂NaN=NaN","layer":1},{"info":"⫖↰⪸11AA⨫⇇↔NaN=⫖↰⪸-37B","layer":0}]}
{"id":261,"expression_no_base_symbol":"(≑⋹($1873$⩨$4586$))⪚(≑⋹($3768$↳≱$1851$))⪶≀⋏((∐⩳⋚$2975$⪝$1136$)⪉⨛($2105$↢$3509$⪁(⪡⇡≛$1731$)))","expression":"(≑⋹(⫖↰⪸1101⩨⫖↰⪸27A2))⪚(≑⋹(⫖↰⪸2220↳≱⫖↰⪸10A3))⪶≀⋏((∐⩳⋚⫖↰⪸187B⪝⫖↰⪸7A8)⪉⨛(⫖↰⪸1275↢⫖↰⪸2045⪁(⪡⇡≛⫖↰⪸1003)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":125020637,"operation_count":12,"complexity_ratio":10418386.416666666,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1873,"base":12},"right_expr":{"type":"numeric_atoms","value":4586,"base":12}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3768,"base":12},"right_expr":{"type":"numeric_atoms","value":1851,"base":12}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2975,"base":12},"right_expr":{"type":"numeric_atoms","value":1136,"base":12}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2105,"base":12},"right_expr":{"type":"numeric_atoms","value":3509,"base":12}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1731,"base":12}}}}},"used_operators":["zR4jO40bMj","HrjLwUk87U","6B9nyZLogK","2DlMacCsIx","JwTKLfZU96","EWw2JM7wp4","SL6IHkK8vl","wicAB68Tmb","I7sXao9hZE","WR6HLWljOP","qL4PrbW1Dq"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1873","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=4586, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-682","layer":2},{"info":"number node, value=3768","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=1851, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute binary expreesion, left_input=-682, right_input=-694, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=488","layer":1},{"info":"number node, value=2975","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=1136, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7755","layer":3},{"info":"compute unary expreesion, input=-7755, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-2284888","layer":2},{"info":"number node, value=2105","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=3509, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1621","layer":3},{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1731","layer":3},{"info":"compute binary expreesion, left_input=1621, right_input=-1731, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2284888, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=488, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≑⋹(⫖↰⪸1101⩨⫖↰⪸27A2))⪚(≑⋹(⫖↰⪸2220↳≱⫖↰⪸10A3))⪶≀⋏((∐⩳⋚⫖↰⪸187B⪝⫖↰⪸7A8)⪉⨛(⫖↰⪸1275↢⫖↰⪸2045⪁(⪡⇡≛⫖↰⪸1003)))=NaN","reverse_text":"NaN=(≑⋹(⫖↰⪸1101⩨⫖↰⪸27A2))⪚(≑⋹(⫖↰⪸2220↳≱⫖↰⪸10A3))⪶≀⋏((∐⩳⋚⫖↰⪸187B⪝⫖↰⪸7A8)⪉⨛(⫖↰⪸1275↢⫖↰⪸2045⪁(⪡⇡≛⫖↰⪸1003)))","cot":[{"info":"⫖↰⪸1101⩨⫖↰⪸27A2=⫖↰⪸-6","layer":3},{"info":"≑⋹⫖↰⪸-6=⫖↰⪸-48A","layer":2},{"info":"⫖↰⪸2220↳≱⫖↰⪸10A3=⫖↰⪸0","layer":3},{"info":"≑⋹⫖↰⪸0=⫖↰⪸-49A","layer":2},{"info":"⫖↰⪸-48A⪚⫖↰⪸-49A=⫖↰⪸348","layer":1},{"info":"⫖↰⪸187B⪝⫖↰⪸7A8=⫖↰⪸-45A3","layer":3},{"info":"∐⩳⋚⫖↰⪸-45A3=⫖↰⪸-922334","layer":2},{"info":"⫖↰⪸1275↢⫖↰⪸2045=⫖↰⪸B31","layer":3},{"info":"⪡⇡≛⫖↰⪸1003=⫖↰⪸-1003","layer":3},{"info":"⫖↰⪸B31⪁⫖↰⪸-1003=NaN","layer":2},{"info":"⫖↰⪸-922334⪉⨛NaN=NaN","layer":1},{"info":"⫖↰⪸348⪶≀⋏NaN=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"⨙⪌($1924$≴⪞⇿$1157$+⇶⊼($1472$⫍⨯↯)⪉⨛(↣≠⋷$3667$⩁⩘$1268$))","expression":"⨙⪌(⫖↰⪸1144≴⪞⇿⫖↰⪸805+⇶⊼(⫖↰⪸A28⫍⨯↯)⪉⨛(↣≠⋷⫖↰⪸2157⩁⩘⫖↰⪸898))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1779,"operation_count":7,"complexity_ratio":254.14285714285714,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1924,"base":12},"right_expr":{"type":"numeric_atoms","value":1157,"base":12}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1472,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3667,"base":12},"right_expr":{"type":"numeric_atoms","value":1268,"base":12}}}}},"used_operators":["vEGLkm4Z2k","EWw2JM7wp4","TpPTUOHfaN","lvlrscuwVU","ZcwmYACASQ","Asc51vEJeQ","gub5Cegaqo"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AHs5Up7iyr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","XhwjNDsVaA","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1924","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=1157, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=5451836","layer":3},{"info":"number node, value=1472","layer":4},{"info":"compute unary expreesion, input=1472, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1439","layer":3},{"info":"compute binary expreesion, left_input=5451836, right_input=1439, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3667","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=3667, right_input=1268, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6020","layer":3},{"info":"compute unary expreesion, input=6020, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', 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":12,"result_base":12,"text":"⨙⪌(⫖↰⪸1144≴⪞⇿⫖↰⪸805+⇶⊼(⫖↰⪸A28⫍⨯↯)⪉⨛(↣≠⋷⫖↰⪸2157⩁⩘⫖↰⪸898))=NaN","reverse_text":"NaN=⨙⪌(⫖↰⪸1144≴⪞⇿⫖↰⪸805+⇶⊼(⫖↰⪸A28⫍⨯↯)⪉⨛(↣≠⋷⫖↰⪸2157⩁⩘⫖↰⪸898))","cot":[{"info":"⫖↰⪸1144≴⪞⇿⫖↰⪸805=⫖↰⪸19AABB8","layer":3},{"info":"⫖↰⪸A28⫍⨯↯=⫖↰⪸9BB","layer":3},{"info":"⫖↰⪸19AABB8+⇶⊼⫖↰⪸9BB=NaN","layer":2},{"info":"⫖↰⪸2157⩁⩘⫖↰⪸898=⫖↰⪸3598","layer":3},{"info":"↣≠⋷⫖↰⪸3598=NaN","layer":2},{"info":"NaN⪉⨛NaN=NaN","layer":1},{"info":"⨙⪌NaN=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"(⫶⊄≣$1231$∊∟⩊$3587$)⫯⪬∳($1918$⇡⇂$4123$⊨($1805$⫦⪉$4440$))≃(∓⪦($3375$⨒$1968$)⊬⨰($2750$⪶≀⋏$2290$))","expression":"(⫶⊄≣⫖↰⪸867∊∟⩊⫖↰⪸20AB)⫯⪬∳(⫖↰⪸113A⇡⇂⫖↰⪸2477⊨(⫖↰⪸1065⫦⪉⫖↰⪸26A0))≃(∓⪦(⫖↰⪸1B53⨒⫖↰⪸1180)⊬⨰(⫖↰⪸1712⪶≀⋏⫖↰⪸13AA))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25490,"operation_count":11,"complexity_ratio":2317.2727272727275,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1231,"base":12},"right_expr":{"type":"numeric_atoms","value":3587,"base":12}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1918,"base":12},"right_expr":{"type":"numeric_atoms","value":4123,"base":12}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1805,"base":12},"right_expr":{"type":"numeric_atoms","value":4440,"base":12}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3375,"base":12},"right_expr":{"type":"numeric_atoms","value":1968,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2750,"base":12},"right_expr":{"type":"numeric_atoms","value":2290,"base":12}}}}},"used_operators":["YbVcJGFEVW","d7ASUq0ydm","wxb3vTeyAj","ddLRYrp01A","vg4gO5BX6G","UMwdvZNt44","wscyQdcy20","D309nIvmXG","s3Fd5m9Dh2","y75s1iXyHd","zR4jO40bMj"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⫖↰⪸2B9894","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":4},{"info":"number node, value=3587","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=3587, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3587","layer":3},{"info":"compute unary expreesion, input=3587, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=231659497","layer":2},{"info":"number node, value=1918","layer":4},{"info":"number node, value=4123","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=4123, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1805","layer":4},{"info":"number node, value=4440","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=4440, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1290","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1290, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=231659497, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=694978558","layer":1},{"info":"number node, value=3375","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=3375, right_input=1968, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-19878","layer":3},{"info":"number node, value=2750","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=2290, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13062","layer":3},{"info":"compute binary expreesion, left_input=-19878, right_input=-13062, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-92004","layer":2},{"info":"compute unary expreesion, input=-92004, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-185654","layer":1},{"info":"compute binary expreesion, left_input=694978558, right_input=-185654, 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=742576","layer":0}],"base":12,"result_base":12,"text":"(⫶⊄≣⫖↰⪸867∊∟⩊⫖↰⪸20AB)⫯⪬∳(⫖↰⪸113A⇡⇂⫖↰⪸2477⊨(⫖↰⪸1065⫦⪉⫖↰⪸26A0))≃(∓⪦(⫖↰⪸1B53⨒⫖↰⪸1180)⊬⨰(⫖↰⪸1712⪶≀⋏⫖↰⪸13AA))=⫖↰⪸2B9894","reverse_text":"⫖↰⪸2B9894=(⫶⊄≣⫖↰⪸867∊∟⩊⫖↰⪸20AB)⫯⪬∳(⫖↰⪸113A⇡⇂⫖↰⪸2477⊨(⫖↰⪸1065⫦⪉⫖↰⪸26A0))≃(∓⪦(⫖↰⪸1B53⨒⫖↰⪸1180)⊬⨰(⫖↰⪸1712⪶≀⋏⫖↰⪸13AA))","cot":[{"info":"⫖↰⪸867∊∟⩊⫖↰⪸20AB=⫖↰⪸20AB","layer":3},{"info":"⫶⊄≣⫖↰⪸20AB=⫖↰⪸656BA261","layer":2},{"info":"⫖↰⪸113A⇡⇂⫖↰⪸2477=NaN","layer":3},{"info":"⫖↰⪸1065⫦⪉⫖↰⪸26A0=⫖↰⪸8B6","layer":3},{"info":"NaN⊨⫖↰⪸8B6=NaN","layer":2},{"info":"⫖↰⪸656BA261⫯⪬∳NaN=⫖↰⪸1748B67BA","layer":1},{"info":"⫖↰⪸1B53⨒⫖↰⪸1180=⫖↰⪸-B606","layer":3},{"info":"⫖↰⪸1712⪶≀⋏⫖↰⪸13AA=⫖↰⪸-7686","layer":3},{"info":"⫖↰⪸-B606⊬⨰⫖↰⪸-7686=⫖↰⪸-452B0","layer":2},{"info":"∓⪦⫖↰⪸-452B0=⫖↰⪸-8B532","layer":1},{"info":"⫖↰⪸1748B67BA≃⫖↰⪸-8B532=⫖↰⪸2B9894","layer":0}]}
{"id":264,"expression_no_base_symbol":"(⇵⪽($3161$⪒⊣⊆$4764$))⩍⋽⫝̸(⊄⩳↩$4226$)⇡⇂($1470$⨲∙)⪚($4546$⫌⩉⩟$2933$∕⩚$4848$⇴$2057$)⨔⇊(↴⪽⋼$1661$⩚⊴⇥$1755$)","expression":"(⇵⪽(⫖↰⪸19B5⪒⊣⊆⫖↰⪸2910))⩍⋽⫝̸(⊄⩳↩⫖↰⪸2542)⇡⇂(⫖↰⪸A26⨲∙)⪚(⫖↰⪸276A⫌⩉⩟⫖↰⪸1845∕⩚⫖↰⪸2980⇴⫖↰⪸1235)⨔⇊(↴⪽⋼⫖↰⪸B65⩚⊴⇥⫖↰⪸1023)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36120472,"operation_count":13,"complexity_ratio":2778497.846153846,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3161,"base":12},"right_expr":{"type":"numeric_atoms","value":4764,"base":12}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4226,"base":12}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1470,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4546,"base":12},"right_expr":{"type":"numeric_atoms","value":2933,"base":12}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4848,"base":12},"right_expr":{"type":"numeric_atoms","value":2057,"base":12}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1661,"base":12},"right_expr":{"type":"numeric_atoms","value":1755,"base":12}}}}},"used_operators":["HrjLwUk87U","BiWNJpBvwn","ZGCBLdVRRX","eRqsBgTDFp","UMwdvZNt44","8w2t5hMYqp","cRahaglYVE","JclMnS0uGI","z9ffQ9n5Zr","XIIwhv8d0m","4JB6nKBMSY","5TUYCnJO6w","NTOWxs364D"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Ph9nP6C5qx","xUOZtlo3hN","U7g4x0WXJJ","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","sdazOOVcIp","NTOWxs364D","COABgblf1C","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3161","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=4764, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6322","layer":3},{"info":"compute unary expreesion, input=6322, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=4226","layer":4},{"info":"compute unary expreesion, input=4226, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12678","layer":3},{"info":"number node, value=1470","layer":4},{"info":"compute unary expreesion, input=1470, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=18052542","layer":3},{"info":"compute binary expreesion, left_input=-12678, right_input=18052542, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=4546","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=4546, right_input=2933, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=4848","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=2057, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=32816","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=32816, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=47","layer":2},{"info":"number node, value=1661","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=1755, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3537","layer":3},{"info":"compute unary expreesion, input=-3537, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute binary expreesion, left_input=47, right_input=35822, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=35822","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35822, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇵⪽(⫖↰⪸19B5⪒⊣⊆⫖↰⪸2910))⩍⋽⫝̸(⊄⩳↩⫖↰⪸2542)⇡⇂(⫖↰⪸A26⨲∙)⪚(⫖↰⪸276A⫌⩉⩟⫖↰⪸1845∕⩚⫖↰⪸2980⇴⫖↰⪸1235)⨔⇊(↴⪽⋼⫖↰⪸B65⩚⊴⇥⫖↰⪸1023)=NaN","reverse_text":"NaN=(⇵⪽(⫖↰⪸19B5⪒⊣⊆⫖↰⪸2910))⩍⋽⫝̸(⊄⩳↩⫖↰⪸2542)⇡⇂(⫖↰⪸A26⨲∙)⪚(⫖↰⪸276A⫌⩉⩟⫖↰⪸1845∕⩚⫖↰⪸2980⇴⫖↰⪸1235)⨔⇊(↴⪽⋼⫖↰⪸B65⩚⊴⇥⫖↰⪸1023)","cot":[{"info":"⫖↰⪸19B5⪒⊣⊆⫖↰⪸2910=⫖↰⪸37AA","layer":3},{"info":"⇵⪽⫖↰⪸37AA=NaN","layer":2},{"info":"⊄⩳↩⫖↰⪸2542=⫖↰⪸-7406","layer":3},{"info":"⫖↰⪸A26⨲∙=⫖↰⪸60670A6","layer":3},{"info":"⫖↰⪸-7406⇡⇂⫖↰⪸60670A6=NaN","layer":2},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":1},{"info":"⫖↰⪸276A⫌⩉⩟⫖↰⪸1845=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸2980⇴⫖↰⪸1235=⫖↰⪸16BA8","layer":3},{"info":"⫖↰⪸-42∕⩚⫖↰⪸16BA8=⫖↰⪸3B","layer":2},{"info":"⫖↰⪸B65⩚⊴⇥⫖↰⪸1023=⫖↰⪸-2069","layer":3},{"info":"↴⪽⋼⫖↰⪸-2069=⫖↰⪸18892","layer":2},{"info":"⫖↰⪸3B⨔⇊⫖↰⪸18892=⫖↰⪸18892","layer":1},{"info":"NaN⪚⫖↰⪸18892=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"⊽(⇋↷(($1425$⇔⨋)∧))","expression":"⊽(⇋↷((⫖↰⪸9A9⇔⨋)∧))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":4,"complexity_ratio":12.25,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1425,"base":12}}}}},"used_operators":["QxG7OkqoLX","SWo3A1KBJH","z63VuFQld9","uBihLCJcMX"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1425","layer":4},{"info":"compute unary expreesion, input=1425, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=7480","layer":3},{"info":"compute unary expreesion, input=7480, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊽(⇋↷((⫖↰⪸9A9⇔⨋)∧))=NaN","reverse_text":"NaN=⊽(⇋↷((⫖↰⪸9A9⇔⨋)∧))","cot":[{"info":"⫖↰⪸9A9⇔⨋=⫖↰⪸43B4","layer":3},{"info":"⫖↰⪸43B4∧=NaN","layer":2},{"info":"⇋↷NaN=NaN","layer":1},{"info":"⊽NaN=NaN","layer":0}]}
{"id":266,"expression_no_base_symbol":"⨝⨆(($4645$⊀⩕)⫡⨏$2521$∋$2041$)⩵∡(($1328$∖$2412$)⫦⪉$1732$∀⇚≩$1586$)","expression":"⨝⨆((⫖↰⪸2831⊀⩕)⫡⨏⫖↰⪸1561∋⫖↰⪸1221)⩵∡((⫖↰⪸928∖⫖↰⪸1490)⫦⪉⫖↰⪸1004∀⇚≩⫖↰⪸B02)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13906,"operation_count":8,"complexity_ratio":1738.25,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":4645,"base":12}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2521,"base":12},"right_expr":{"type":"numeric_atoms","value":2041,"base":12}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1328,"base":12},"right_expr":{"type":"numeric_atoms","value":2412,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1732,"base":12},"right_expr":{"type":"numeric_atoms","value":1586,"base":12}}}}},"used_operators":["bQ67fsrMVf","Y7wcNGrDQJ","QMFrweE19q","r0FS3hW4cC","ukq6epAj5P","wscyQdcy20","tXD093vOjl","LRNGc0VcxI"],"dependent_operators":["tifHPKVTfV","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","X99M06cbEe"],"result":"⫖↰⪸-5926870","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4645","layer":4},{"info":"compute unary expreesion, input=4645, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=2521","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=2041, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4306372","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4306372, 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=8613527","layer":2},{"info":"number node, value=1328","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=2412, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1732","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=1586, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"compute binary expreesion, left_input=8613527, right_input=4900, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-17222275","layer":1},{"info":"compute unary expreesion, input=-17222275, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-17222484","layer":0}],"base":12,"result_base":12,"text":"⨝⨆((⫖↰⪸2831⊀⩕)⫡⨏⫖↰⪸1561∋⫖↰⪸1221)⩵∡((⫖↰⪸928∖⫖↰⪸1490)⫦⪉⫖↰⪸1004∀⇚≩⫖↰⪸B02)=⫖↰⪸-5926870","reverse_text":"⫖↰⪸-5926870=⨝⨆((⫖↰⪸2831⊀⩕)⫡⨏⫖↰⪸1561∋⫖↰⪸1221)⩵∡((⫖↰⪸928∖⫖↰⪸1490)⫦⪉⫖↰⪸1004∀⇚≩⫖↰⪸B02)","cot":[{"info":"⫖↰⪸2831⊀⩕=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1561∋⫖↰⪸1221=⫖↰⪸1538144","layer":3},{"info":"⫖↰⪸0⫡⨏⫖↰⪸1538144=⫖↰⪸2A7481B","layer":2},{"info":"⫖↰⪸928∖⫖↰⪸1490=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1004∀⇚≩⫖↰⪸B02=NaN","layer":3},{"info":"⫖↰⪸0⫦⪉NaN=⫖↰⪸2A04","layer":2},{"info":"⫖↰⪸2A7481B⩵∡⫖↰⪸2A04=⫖↰⪸-5926717","layer":1},{"info":"⨝⨆⫖↰⪸-5926717=⫖↰⪸-5926870","layer":0}]}
{"id":267,"expression_no_base_symbol":"(($1051$⫏⊷)⋝⋈⪟($2810$≝⊰⇂))∌↝($6316$⪕$3968$⋳⪒($1507$⊭↱$1041$))⪛⫼($2835$⊴$4004$)∛$1523$∛$4877$⨔≚≋(⋠∜$2140$)∼(-$4784$)","expression":"((⫖↰⪸737⫏⊷)⋝⋈⪟(⫖↰⪸1762≝⊰⇂))∌↝(⫖↰⪸37A4⪕⫖↰⪸2368⋳⪒(⫖↰⪸A57⊭↱⫖↰⪸729))⪛⫼(⫖↰⪸1783⊴⫖↰⪸2398)∛⫖↰⪸A6B∛⫖↰⪸29A5⨔≚≋(⋠∜⫖↰⪸12A4)∼(-⫖↰⪸2928)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10471,"operation_count":15,"complexity_ratio":698.0666666666667,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1051,"base":12}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":2810,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6316,"base":12},"right_expr":{"type":"numeric_atoms","value":3968,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1507,"base":12},"right_expr":{"type":"numeric_atoms","value":1041,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2835,"base":12},"right_expr":{"type":"numeric_atoms","value":4004,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1523,"base":12},"right_expr":{"type":"numeric_atoms","value":4877,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2140,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4784,"base":12}}}}},"used_operators":["hyuBjUqXlG","9Isq31Ruls","2DDjHMKMc0","dcShxvzhyw","htSmYCowi5","12rbrZMWeM","umQnsF7QlU","COABgblf1C","Z57zeUYC9z","w2537kitQq","Nsiff2A1zJ","DyGG3AbaNP","ZJpFhNJr3x","t8gj7n24qd"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","9FxExcQeMw","DlLNRPXxWL","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-820","layer":2},{"info":"number node, value=6316","layer":4},{"info":"number node, value=3968","layer":4},{"info":"compute binary expreesion, left_input=6316, right_input=3968, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9565","layer":3},{"info":"number node, value=1507","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=1041, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-927","layer":3},{"info":"compute binary expreesion, left_input=9565, right_input=-927, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=19770","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=19770, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-59310","layer":1},{"info":"number node, value=2835","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=4004, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=4877","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=4877, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2140","layer":4},{"info":"compute unary expreesion, input=2140, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=10844","layer":3},{"info":"number node, value=4784","layer":4},{"info":"compute unary expreesion, input=4784, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4784","layer":3},{"info":"compute binary expreesion, left_input=10844, right_input=-4784, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-59310, 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":12,"result_base":12,"text":"((⫖↰⪸737⫏⊷)⋝⋈⪟(⫖↰⪸1762≝⊰⇂))∌↝(⫖↰⪸37A4⪕⫖↰⪸2368⋳⪒(⫖↰⪸A57⊭↱⫖↰⪸729))⪛⫼(⫖↰⪸1783⊴⫖↰⪸2398)∛⫖↰⪸A6B∛⫖↰⪸29A5⨔≚≋(⋠∜⫖↰⪸12A4)∼(-⫖↰⪸2928)=NaN","reverse_text":"NaN=((⫖↰⪸737⫏⊷)⋝⋈⪟(⫖↰⪸1762≝⊰⇂))∌↝(⫖↰⪸37A4⪕⫖↰⪸2368⋳⪒(⫖↰⪸A57⊭↱⫖↰⪸729))⪛⫼(⫖↰⪸1783⊴⫖↰⪸2398)∛⫖↰⪸A6B∛⫖↰⪸29A5⨔≚≋(⋠∜⫖↰⪸12A4)∼(-⫖↰⪸2928)","cot":[{"info":"⫖↰⪸737⫏⊷=⫖↰⪸-584","layer":3},{"info":"⫖↰⪸1762≝⊰⇂=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-584⋝⋈⪟⫖↰⪸0=⫖↰⪸-584","layer":2},{"info":"⫖↰⪸37A4⪕⫖↰⪸2368=⫖↰⪸5651","layer":3},{"info":"⫖↰⪸A57⊭↱⫖↰⪸729=⫖↰⪸-653","layer":3},{"info":"⫖↰⪸5651⋳⪒⫖↰⪸-653=⫖↰⪸B536","layer":2},{"info":"⫖↰⪸-584∌↝⫖↰⪸B536=⫖↰⪸-2A3A6","layer":1},{"info":"⫖↰⪸1783⊴⫖↰⪸2398=NaN","layer":3},{"info":"⫖↰⪸A6B∛⫖↰⪸29A5=⫖↰⪸-47A","layer":3},{"info":"NaN∛⫖↰⪸-47A=⫖↰⪸57","layer":2},{"info":"⋠∜⫖↰⪸12A4=⫖↰⪸6338","layer":3},{"info":"-⫖↰⪸2928=⫖↰⪸-2928","layer":3},{"info":"⫖↰⪸6338∼⫖↰⪸-2928=NaN","layer":2},{"info":"⫖↰⪸57⨔≚≋NaN=NaN","layer":1},{"info":"⫖↰⪸-2A3A6⪛⫼NaN=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"(($3803$⪍↜⋙$1946$⪑⩈)∼(⨞⊢$6691$⩌⋺$2417$))⫁⪎(⨵≀≌(⇙⪊$1069$)⩖⊿($2406$⨰$4703$))","expression":"((⫖↰⪸224B⪍↜⋙⫖↰⪸1162⪑⩈)∼(⨞⊢⫖↰⪸3A57⩌⋺⫖↰⪸1495))⫁⪎(⨵≀≌(⇙⪊⫖↰⪸751)⩖⊿(⫖↰⪸1486⨰⫖↰⪸287B))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":635,"operation_count":10,"complexity_ratio":63.5,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3803,"base":12},"right_expr":{"type":"numeric_atoms","value":1946,"base":12}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6691,"base":12},"right_expr":{"type":"numeric_atoms","value":2417,"base":12}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1069,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2406,"base":12},"right_expr":{"type":"numeric_atoms","value":4703,"base":12}}}}},"used_operators":["xRrnTEsQ6j","DyGG3AbaNP","C6VvDP6HwP","L05ObWFQCd","xUOZtlo3hN","g7Hmc5v1ko","srAu1WTS94","RZ5CV9rWsJ","pB6Fcnrjim","eewbuw0ToL"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3803","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=3803, right_input=1946, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3714","layer":3},{"info":"compute unary expreesion, input=3714, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=27588","layer":2},{"info":"number node, value=6691","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=6691, right_input=2417, 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=-9229","layer":3},{"info":"compute unary expreesion, input=-9229, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=9055","layer":2},{"info":"compute binary expreesion, left_input=27588, right_input=9055, 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=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=2406","layer":4},{"info":"number node, value=4703","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=4703, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2287","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2287, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6488","layer":2},{"info":"compute unary expreesion, input=6488, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-19464","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19464, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸224B⪍↜⋙⫖↰⪸1162⪑⩈)∼(⨞⊢⫖↰⪸3A57⩌⋺⫖↰⪸1495))⫁⪎(⨵≀≌(⇙⪊⫖↰⪸751)⩖⊿(⫖↰⪸1486⨰⫖↰⪸287B))=NaN","reverse_text":"NaN=((⫖↰⪸224B⪍↜⋙⫖↰⪸1162⪑⩈)∼(⨞⊢⫖↰⪸3A57⩌⋺⫖↰⪸1495))⫁⪎(⨵≀≌(⇙⪊⫖↰⪸751)⩖⊿(⫖↰⪸1486⨰⫖↰⪸287B))","cot":[{"info":"⫖↰⪸224B⪍↜⋙⫖↰⪸1162=⫖↰⪸2196","layer":3},{"info":"⫖↰⪸2196⪑⩈=⫖↰⪸13B70","layer":2},{"info":"⫖↰⪸3A57⩌⋺⫖↰⪸1495=⫖↰⪸-5411","layer":3},{"info":"⨞⊢⫖↰⪸-5411=⫖↰⪸52A7","layer":2},{"info":"⫖↰⪸13B70∼⫖↰⪸52A7=NaN","layer":1},{"info":"⇙⪊⫖↰⪸751=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1486⨰⫖↰⪸287B=⫖↰⪸-13A7","layer":3},{"info":"⫖↰⪸0⩖⊿⫖↰⪸-13A7=⫖↰⪸3908","layer":2},{"info":"⨵≀≌⫖↰⪸3908=⫖↰⪸-B320","layer":1},{"info":"NaN⫁⪎⫖↰⪸-B320=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"(($7321$≌$3637$)⇂≾⫗(⇜$1042$)∠⫱($3776$⋳⪒$2887$)⨻⩈⩔(⩎⋉$5013$))↳≱(($3604$⊔$2150$)⨑⩅≇($3532$⊉≛↸$1000$)⫣⪄⊒($3732$⪮%⊝$5746$⪨⊡$1590$⪭$2087$))","expression":"((⫖↰⪸42A1≌⫖↰⪸2131)⇂≾⫗(⇜⫖↰⪸72A)∠⫱(⫖↰⪸2228⋳⪒⫖↰⪸1807)⨻⩈⩔(⩎⋉⫖↰⪸2A99))↳≱((⫖↰⪸2104⊔⫖↰⪸12B2)⨑⩅≇(⫖↰⪸2064⊉≛↸⫖↰⪸6B4)⫣⪄⊒(⫖↰⪸21B0⪮%⊝⫖↰⪸33AA⪨⊡⫖↰⪸B06⪭⫖↰⪸125B))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":11641,"operation_count":15,"complexity_ratio":776.0666666666667,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":7321,"base":12},"right_expr":{"type":"numeric_atoms","value":3637,"base":12}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1042,"base":12}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3776,"base":12},"right_expr":{"type":"numeric_atoms","value":2887,"base":12}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":5013,"base":12}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3604,"base":12},"right_expr":{"type":"numeric_atoms","value":2150,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3532,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3732,"base":12},"right_expr":{"type":"numeric_atoms","value":5746,"base":12}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1590,"base":12},"right_expr":{"type":"numeric_atoms","value":2087,"base":12}}}}},"used_operators":["JwTKLfZU96","QvoQhV0rrE","aBQ6xLxuTc","lyWz822IDG","lFBm8KRb8F","nEsXyWgiOK","12rbrZMWeM","FlXk3pOYe8","RabNbG55vr","h92wMvzauj","E4l6HwMY31","DZ8iAZOCBD","kuIXHzHcAH","IWmyXbctLI","j9kHMeSvPp"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7321","layer":4},{"info":"number node, value=3637","layer":4},{"info":"compute binary expreesion, left_input=7321, right_input=3637, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8744, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=3776","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=3776, right_input=2887, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4378","layer":3},{"info":"number node, value=5013","layer":4},{"info":"compute unary expreesion, input=5013, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=4378, right_input=1650, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=26623","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26623, 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=3604","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=2150, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15558","layer":3},{"info":"number node, value=3532","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=3532, right_input=1000, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7064","layer":3},{"info":"compute binary expreesion, left_input=15558, right_input=7064, 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=-46674","layer":2},{"info":"number node, value=3732","layer":4},{"info":"number node, value=5746","layer":4},{"info":"compute binary expreesion, left_input=3732, right_input=5746, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7780","layer":3},{"info":"number node, value=1590","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=2087, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=7780, right_input=5, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=769","layer":2},{"info":"compute binary expreesion, left_input=-46674, right_input=769, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸42A1≌⫖↰⪸2131)⇂≾⫗(⇜⫖↰⪸72A)∠⫱(⫖↰⪸2228⋳⪒⫖↰⪸1807)⨻⩈⩔(⩎⋉⫖↰⪸2A99))↳≱((⫖↰⪸2104⊔⫖↰⪸12B2)⨑⩅≇(⫖↰⪸2064⊉≛↸⫖↰⪸6B4)⫣⪄⊒(⫖↰⪸21B0⪮%⊝⫖↰⪸33AA⪨⊡⫖↰⪸B06⪭⫖↰⪸125B))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸42A1≌⫖↰⪸2131)⇂≾⫗(⇜⫖↰⪸72A)∠⫱(⫖↰⪸2228⋳⪒⫖↰⪸1807)⨻⩈⩔(⩎⋉⫖↰⪸2A99))↳≱((⫖↰⪸2104⊔⫖↰⪸12B2)⨑⩅≇(⫖↰⪸2064⊉≛↸⫖↰⪸6B4)⫣⪄⊒(⫖↰⪸21B0⪮%⊝⫖↰⪸33AA⪨⊡⫖↰⪸B06⪭⫖↰⪸125B))","cot":[{"info":"⫖↰⪸42A1≌⫖↰⪸2131=NaN","layer":3},{"info":"⇜⫖↰⪸72A=⫖↰⪸-5088","layer":3},{"info":"NaN⇂≾⫗⫖↰⪸-5088=NaN","layer":2},{"info":"⫖↰⪸2228⋳⪒⫖↰⪸1807=⫖↰⪸264A","layer":3},{"info":"⩎⋉⫖↰⪸2A99=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸264A⨻⩈⩔⫖↰⪸B56=⫖↰⪸134A7","layer":2},{"info":"NaN∠⫱⫖↰⪸134A7=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸2104⊔⫖↰⪸12B2=⫖↰⪸9006","layer":3},{"info":"⫖↰⪸2064⊉≛↸⫖↰⪸6B4=⫖↰⪸4108","layer":3},{"info":"⫖↰⪸9006⨑⩅≇⫖↰⪸4108=⫖↰⪸-23016","layer":2},{"info":"⫖↰⪸21B0⪮%⊝⫖↰⪸33AA=⫖↰⪸4604","layer":3},{"info":"⫖↰⪸B06⪭⫖↰⪸125B=⫖↰⪸5","layer":3},{"info":"⫖↰⪸4604⪨⊡⫖↰⪸5=⫖↰⪸541","layer":2},{"info":"⫖↰⪸-23016⫣⪄⊒⫖↰⪸541=⫖↰⪸114","layer":1},{"info":"⫖↰⪸86A↳≱⫖↰⪸114=⫖↰⪸0","layer":0}]}
{"id":270,"expression_no_base_symbol":"⇈(↓⇌(⨣⨃⇪($1058$⊢$1389$)))","expression":"⇈(↓⇌(⨣⨃⇪(⫖↰⪸742⊢⫖↰⪸979)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1056,"operation_count":4,"complexity_ratio":264.0,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":1389,"base":12}}}}},"used_operators":["SLLxy00UIr","PxpmPgHHJV","AcOhelriW5","5twsqlHp2o"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1389, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2360","layer":3},{"info":"compute unary expreesion, input=-2360, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute unary expreesion, input=1405, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":12,"result_base":12,"text":"⇈(↓⇌(⨣⨃⇪(⫖↰⪸742⊢⫖↰⪸979)))=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=⇈(↓⇌(⨣⨃⇪(⫖↰⪸742⊢⫖↰⪸979)))","cot":[{"info":"⫖↰⪸742⊢⫖↰⪸979=⫖↰⪸-1448","layer":3},{"info":"⨣⨃⇪⫖↰⪸-1448=⫖↰⪸991","layer":2},{"info":"↓⇌⫖↰⪸991=⫖↰⪸991","layer":1},{"info":"⇈⫖↰⪸991=⫖↰⪸-313","layer":0}]}
{"id":271,"expression_no_base_symbol":"(((∟⋨$1804$)⨽⪊≇)∙⊟(⫡⇟⇯($7639$⇄$5433$)))∑⇟⊟(∂($5840$≚⊃≕$1504$∛≔))","expression":"(((∟⋨⫖↰⪸1064)⨽⪊≇)∙⊟(⫡⇟⇯(⫖↰⪸4507⇄⫖↰⪸3189)))∑⇟⊟(∂(⫖↰⪸3468≚⊃≕⫖↰⪸A54∛≔))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5893,"operation_count":9,"complexity_ratio":654.7777777777778,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1804,"base":12}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":7639,"base":12},"right_expr":{"type":"numeric_atoms","value":5433,"base":12}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":5840,"base":12},"right_expr":{"type":"numeric_atoms","value":1504,"base":12}}}}},"used_operators":["U7g4x0WXJJ","SxTAKzQCrw","nlCqmYiOvY","ctOc4cKSDt","qWUSsah53b","3EYGwJThht","Uaa54Peajs","mGnSCrte3L","Bmrmz2XGnR"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","eLAdDNolq6","tmPS8pqC7x","DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":4},{"info":"compute unary expreesion, input=1804, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1320","layer":3},{"info":"compute unary expreesion, input=-1320, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-3166","layer":2},{"info":"number node, value=7639","layer":4},{"info":"number node, value=5433","layer":4},{"info":"compute binary expreesion, left_input=7639, right_input=5433, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-3166, right_input=868, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=56902","layer":1},{"info":"number node, value=5840","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=5840, right_input=1504, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"compute unary expreesion, input=-305287, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=305023","layer":1},{"info":"compute binary expreesion, left_input=56902, right_input=305023, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((∟⋨⫖↰⪸1064)⨽⪊≇)∙⊟(⫡⇟⇯(⫖↰⪸4507⇄⫖↰⪸3189)))∑⇟⊟(∂(⫖↰⪸3468≚⊃≕⫖↰⪸A54∛≔))=NaN","reverse_text":"NaN=(((∟⋨⫖↰⪸1064)⨽⪊≇)∙⊟(⫡⇟⇯(⫖↰⪸4507⇄⫖↰⪸3189)))∑⇟⊟(∂(⫖↰⪸3468≚⊃≕⫖↰⪸A54∛≔))","cot":[{"info":"∟⋨⫖↰⪸1064=⫖↰⪸-920","layer":3},{"info":"⫖↰⪸-920⨽⪊≇=⫖↰⪸-19BA","layer":2},{"info":"⫖↰⪸4507⇄⫖↰⪸3189=⫖↰⪸0","layer":3},{"info":"⫡⇟⇯⫖↰⪸0=⫖↰⪸604","layer":2},{"info":"⫖↰⪸-19BA∙⊟⫖↰⪸604=⫖↰⪸28B1A","layer":1},{"info":"⫖↰⪸3468≚⊃≕⫖↰⪸A54=⫖↰⪸57","layer":3},{"info":"⫖↰⪸57∛≔=⫖↰⪸-128807","layer":2},{"info":"∂⫖↰⪸-128807=⫖↰⪸128627","layer":1},{"info":"⫖↰⪸28B1A∑⇟⊟⫖↰⪸128627=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"⨰⫟⨤((↩⪖$2176$)⋕⪉⪜($1037$≹⇙⪍$1395$)⫔⩽⩺($3529$⇄$1398$)⇤($3102$⋷$4506$))","expression":"⨰⫟⨤((↩⪖⫖↰⪸1314)⋕⪉⪜(⫖↰⪸725≹⇙⪍⫖↰⪸983)⫔⩽⩺(⫖↰⪸2061⇄⫖↰⪸986)⇤(⫖↰⪸1966⋷⫖↰⪸2736))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":132,"operation_count":8,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2176,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":1395,"base":12}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3529,"base":12},"right_expr":{"type":"numeric_atoms","value":1398,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3102,"base":12},"right_expr":{"type":"numeric_atoms","value":4506,"base":12}}}}},"used_operators":["Tw270M8GLb","i9eR4S00cU","z6LnFrNh4i","fG6uBQFnGz","AHs5Up7iyr","YSKBFp38Pu","3EYGwJThht","23Mk6UjR3U"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tw270M8GLb","fu6greOZ01","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2176","layer":4},{"info":"compute unary expreesion, input=2176, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-16038","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1395, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16038, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=3529","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=1398, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3102","layer":4},{"info":"number node, value=4506","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=4506, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5910","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5910, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-26702","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=-26702, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤((↩⪖⫖↰⪸1314)⋕⪉⪜(⫖↰⪸725≹⇙⪍⫖↰⪸983)⫔⩽⩺(⫖↰⪸2061⇄⫖↰⪸986)⇤(⫖↰⪸1966⋷⫖↰⪸2736))=NaN","reverse_text":"NaN=⨰⫟⨤((↩⪖⫖↰⪸1314)⋕⪉⪜(⫖↰⪸725≹⇙⪍⫖↰⪸983)⫔⩽⩺(⫖↰⪸2061⇄⫖↰⪸986)⇤(⫖↰⪸1966⋷⫖↰⪸2736))","cot":[{"info":"↩⪖⫖↰⪸1314=⫖↰⪸-9346","layer":3},{"info":"⫖↰⪸725≹⇙⪍⫖↰⪸983=NaN","layer":3},{"info":"⫖↰⪸-9346⋕⪉⪜NaN=⫖↰⪸150","layer":2},{"info":"⫖↰⪸2061⇄⫖↰⪸986=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1966⋷⫖↰⪸2736=⫖↰⪸3506","layer":3},{"info":"⫖↰⪸0⇤⫖↰⪸3506=⫖↰⪸-13552","layer":2},{"info":"⫖↰⪸150⫔⩽⩺⫖↰⪸-13552=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":273,"expression_no_base_symbol":"((∓⪦$3282$)⊬⨰($3062$⨵⪆$7110$)≬⋮(⇐($3071$⨘⋶⪀)))⪒⊣⊆(($2463$⪇≇⋚$4276$⨎$6421$≌$2283$)⪍↜⋙($5790$∪⫐$3095$)≄⊠($2906$⋅⇍$1413$))","expression":"((∓⪦⫖↰⪸1A96)⊬⨰(⫖↰⪸1932⨵⪆⫖↰⪸4146)≬⋮(⇐(⫖↰⪸193B⨘⋶⪀)))⪒⊣⊆((⫖↰⪸1513⪇≇⋚⫖↰⪸2584⨎⫖↰⪸3871≌⫖↰⪸13A3)⪍↜⋙(⫖↰⪸3426∪⫐⫖↰⪸195B)≄⊠(⫖↰⪸1822⋅⇍⫖↰⪸999))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2703,"operation_count":14,"complexity_ratio":193.07142857142858,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":3282,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3062,"base":12},"right_expr":{"type":"numeric_atoms","value":7110,"base":12}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":3071,"base":12}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2463,"base":12},"right_expr":{"type":"numeric_atoms","value":4276,"base":12}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":6421,"base":12},"right_expr":{"type":"numeric_atoms","value":2283,"base":12}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5790,"base":12},"right_expr":{"type":"numeric_atoms","value":3095,"base":12}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2906,"base":12},"right_expr":{"type":"numeric_atoms","value":1413,"base":12}}}}},"used_operators":["eRqsBgTDFp","kbkesczE7y","s3Fd5m9Dh2","D309nIvmXG","2DQ55sFlQl","nmZMaaE0Q9","XVKwrhznBb","L05ObWFQCd","rJVOvQCfKK","3sJ7IOPOlU","lyWz822IDG","vXNesLlMH1","7YooWSwCyH","AdZkA7nFnk"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2874","layer":3},{"info":"number node, value=3062","layer":4},{"info":"number node, value=7110","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=7110, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2874, right_input=160, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=2458","layer":2},{"info":"number node, value=3071","layer":4},{"info":"compute unary expreesion, input=3071, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2458, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=2463","layer":4},{"info":"number node, value=4276","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=4276, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=6421","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=6421, right_input=2283, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"number node, value=5790","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=5790, right_input=3095, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5790","layer":3},{"info":"number node, value=2906","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=1413, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=5790, right_input=-22, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∓⪦⫖↰⪸1A96)⊬⨰(⫖↰⪸1932⨵⪆⫖↰⪸4146)≬⋮(⇐(⫖↰⪸193B⨘⋶⪀)))⪒⊣⊆((⫖↰⪸1513⪇≇⋚⫖↰⪸2584⨎⫖↰⪸3871≌⫖↰⪸13A3)⪍↜⋙(⫖↰⪸3426∪⫐⫖↰⪸195B)≄⊠(⫖↰⪸1822⋅⇍⫖↰⪸999))=NaN","reverse_text":"NaN=((∓⪦⫖↰⪸1A96)⊬⨰(⫖↰⪸1932⨵⪆⫖↰⪸4146)≬⋮(⇐(⫖↰⪸193B⨘⋶⪀)))⪒⊣⊆((⫖↰⪸1513⪇≇⋚⫖↰⪸2584⨎⫖↰⪸3871≌⫖↰⪸13A3)⪍↜⋙(⫖↰⪸3426∪⫐⫖↰⪸195B)≄⊠(⫖↰⪸1822⋅⇍⫖↰⪸999))","cot":[{"info":"∓⪦⫖↰⪸1A96=⫖↰⪸17B6","layer":3},{"info":"⫖↰⪸1932⨵⪆⫖↰⪸4146=⫖↰⪸114","layer":3},{"info":"⫖↰⪸17B6⊬⨰⫖↰⪸114=⫖↰⪸150A","layer":2},{"info":"⫖↰⪸193B⨘⋶⪀=NaN","layer":3},{"info":"⇐NaN=NaN","layer":2},{"info":"⫖↰⪸150A≬⋮NaN=NaN","layer":1},{"info":"⫖↰⪸1513⪇≇⋚⫖↰⪸2584=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3871≌⫖↰⪸13A3=NaN","layer":3},{"info":"⫖↰⪸0⨎NaN=NaN","layer":2},{"info":"⫖↰⪸3426∪⫐⫖↰⪸195B=⫖↰⪸3426","layer":3},{"info":"⫖↰⪸1822⋅⇍⫖↰⪸999=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸3426≄⊠⫖↰⪸-1A=⫖↰⪸A50","layer":2},{"info":"NaN⪍↜⋙⫖↰⪸A50=NaN","layer":1},{"info":"NaN⪒⊣⊆NaN=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"((≔(⫇$5715$))⫦⪉($1169$⪣⫩)⪮%⊝$3884$⪃⊛⇣$1872$)↳∿⪆($1979$∋$1264$⫉⨲⊜$1489$⨸$1148$⪡(+⊝⨔$4689$⫘$2932$))","expression":"((≔(⫇⫖↰⪸3383))⫦⪉(⫖↰⪸815⪣⫩)⪮%⊝⫖↰⪸22B8⪃⊛⇣⫖↰⪸1100)↳∿⪆(⫖↰⪸118B∋⫖↰⪸894⫉⨲⊜⫖↰⪸A41⨸⫖↰⪸7B8⪡(+⊝⨔⫖↰⪸2869⫘⫖↰⪸1844))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9785,"operation_count":13,"complexity_ratio":752.6923076923077,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":5715,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1169,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3884,"base":12},"right_expr":{"type":"numeric_atoms","value":1872,"base":12}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1979,"base":12},"right_expr":{"type":"numeric_atoms","value":1264,"base":12}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1489,"base":12},"right_expr":{"type":"numeric_atoms","value":1148,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4689,"base":12},"right_expr":{"type":"numeric_atoms","value":2932,"base":12}}}}},"used_operators":["Cw4SuJJGHO","wscyQdcy20","8FLs4eVsLt","YjI8oCXuph","IWmyXbctLI","iuk5sVOGFA","rrgAzCduG9","oraRL2iQuh","WhqkvtTD3t","ukq6epAj5P","KmoU8R5UQR","DhbWaqg5eL","48vC8HMD2b"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eewbuw0ToL","zVYPLywUTj","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5715","layer":4},{"info":"compute unary expreesion, input=5715, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-10216","layer":3},{"info":"compute unary expreesion, input=-10216, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=287342","layer":2},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=3474","layer":3},{"info":"number node, value=3884","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=1872, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=3474, right_input=1234, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7264","layer":2},{"info":"compute binary expreesion, left_input=287342, right_input=7264, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-569784","layer":1},{"info":"number node, value=1979","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=1264, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2668244","layer":3},{"info":"number node, value=1489","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=1148, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2978","layer":3},{"info":"compute binary expreesion, left_input=2668244, right_input=2978, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=4689","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=4689, right_input=2932, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5518669","layer":3},{"info":"compute unary expreesion, input=5518669, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":1},{"info":"compute binary expreesion, left_input=-569784, right_input=-1936, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≔(⫇⫖↰⪸3383))⫦⪉(⫖↰⪸815⪣⫩)⪮%⊝⫖↰⪸22B8⪃⊛⇣⫖↰⪸1100)↳∿⪆(⫖↰⪸118B∋⫖↰⪸894⫉⨲⊜⫖↰⪸A41⨸⫖↰⪸7B8⪡(+⊝⨔⫖↰⪸2869⫘⫖↰⪸1844))=NaN","reverse_text":"NaN=((≔(⫇⫖↰⪸3383))⫦⪉(⫖↰⪸815⪣⫩)⪮%⊝⫖↰⪸22B8⪃⊛⇣⫖↰⪸1100)↳∿⪆(⫖↰⪸118B∋⫖↰⪸894⫉⨲⊜⫖↰⪸A41⨸⫖↰⪸7B8⪡(+⊝⨔⫖↰⪸2869⫘⫖↰⪸1844))","cot":[{"info":"⫇⫖↰⪸3383=⫖↰⪸-5AB4","layer":3},{"info":"≔⫖↰⪸-5AB4=⫖↰⪸11A352","layer":2},{"info":"⫖↰⪸815⪣⫩=⫖↰⪸2016","layer":3},{"info":"⫖↰⪸22B8⪃⊛⇣⫖↰⪸1100=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸2016⪮%⊝⫖↰⪸86A=⫖↰⪸4254","layer":2},{"info":"⫖↰⪸11A352⫦⪉⫖↰⪸4254=⫖↰⪸-2358A0","layer":1},{"info":"⫖↰⪸118B∋⫖↰⪸894=⫖↰⪸A88158","layer":3},{"info":"⫖↰⪸A41⨸⫖↰⪸7B8=⫖↰⪸1882","layer":3},{"info":"⫖↰⪸A88158⫉⨲⊜⫖↰⪸1882=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2869⫘⫖↰⪸1844=⫖↰⪸1A21811","layer":3},{"info":"+⊝⨔⫖↰⪸1A21811=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸0⪡⫖↰⪸A6A=⫖↰⪸-1154","layer":1},{"info":"⫖↰⪸-2358A0↳∿⪆⫖↰⪸-1154=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"(($1083$≨$5402$)⊍)∓⋝($2261$⫞⩸⩒$7840$≃$6792$⩁⩘$1130$)⩘","expression":"((⫖↰⪸763≨⫖↰⪸3162)⊍)∓⋝(⫖↰⪸1385⫞⩸⩒⫖↰⪸4654≃⫖↰⪸3B20⩁⩘⫖↰⪸7A2)⩘","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":226,"operation_count":7,"complexity_ratio":32.285714285714285,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1083,"base":12},"right_expr":{"type":"numeric_atoms","value":5402,"base":12}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2261,"base":12},"right_expr":{"type":"numeric_atoms","value":7840,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6792,"base":12},"right_expr":{"type":"numeric_atoms","value":1130,"base":12}}}}},"used_operators":["wvHyciQT5X","PoHhknlbAi","3nqY3DE9mg","0KMCeP1Jsh","YbVcJGFEVW","XGcMNugi78","gub5Cegaqo"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DpFCA1CohY","IWmyXbctLI"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"number node, value=5402","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=5402, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8354","layer":3},{"info":"compute unary expreesion, input=-8354, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-54213","layer":2},{"info":"number node, value=2261","layer":4},{"info":"number node, value=7840","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=7840, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=7840","layer":3},{"info":"number node, value=6792","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=6792, right_input=1130, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5468","layer":3},{"info":"compute binary expreesion, left_input=7840, right_input=5468, 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=-31400","layer":2},{"info":"compute binary expreesion, left_input=-54213, right_input=-31400, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸763≨⫖↰⪸3162)⊍)∓⋝(⫖↰⪸1385⫞⩸⩒⫖↰⪸4654≃⫖↰⪸3B20⩁⩘⫖↰⪸7A2)⩘=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸763≨⫖↰⪸3162)⊍)∓⋝(⫖↰⪸1385⫞⩸⩒⫖↰⪸4654≃⫖↰⪸3B20⩁⩘⫖↰⪸7A2)⩘","cot":[{"info":"⫖↰⪸763≨⫖↰⪸3162=⫖↰⪸-4A02","layer":3},{"info":"⫖↰⪸-4A02⊍=⫖↰⪸-27459","layer":2},{"info":"⫖↰⪸1385⫞⩸⩒⫖↰⪸4654=⫖↰⪸4654","layer":3},{"info":"⫖↰⪸3B20⩁⩘⫖↰⪸7A2=⫖↰⪸31B8","layer":3},{"info":"⫖↰⪸4654≃⫖↰⪸31B8=⫖↰⪸-16208","layer":2},{"info":"⫖↰⪸-27459∓⋝⫖↰⪸-16208=⫖↰⪸57","layer":1},{"info":"⫖↰⪸57⩘=⫖↰⪸57","layer":0}]}
{"id":276,"expression_no_base_symbol":"((⋎⨆$3591$⨳⩥⨓$6061$)≧⫂∧(↣≠⋷$3030$≌$6482$))⫁((⋣($1443$↸$2048$))⩷∴($1973$↱$2857$⨵⪆$1334$≁↽≥$6540$))","expression":"((⋎⨆⫖↰⪸20B3⨳⩥⨓⫖↰⪸3611)≧⫂∧(↣≠⋷⫖↰⪸1906≌⫖↰⪸3902))⫁((⋣(⫖↰⪸A03↸⫖↰⪸1228))⩷∴(⫖↰⪸1185↱⫖↰⪸17A1⨵⪆⫖↰⪸932≁↽≥⫖↰⪸3950))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2554357,"operation_count":12,"complexity_ratio":212863.08333333334,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3591,"base":12},"right_expr":{"type":"numeric_atoms","value":6061,"base":12}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3030,"base":12},"right_expr":{"type":"numeric_atoms","value":6482,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1443,"base":12},"right_expr":{"type":"numeric_atoms","value":2048,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1973,"base":12},"right_expr":{"type":"numeric_atoms","value":2857,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1334,"base":12},"right_expr":{"type":"numeric_atoms","value":6540,"base":12}}}}},"used_operators":["0ajvFaJAv0","Ph9nP6C5qx","E64sFOc4tB","nCS4ZIUYfx","Asc51vEJeQ","lyWz822IDG","9FxExcQeMw","zQWRhDnn8F","1eCjFl0mb9","2DQ55sFlQl","SR5kFfdi6N","ncHt1X6cMc"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3591","layer":4},{"info":"number node, value=6061","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=6061, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2470","layer":3},{"info":"compute unary expreesion, input=2470, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"number node, value=3030","layer":4},{"info":"number node, value=6482","layer":4},{"info":"compute binary expreesion, left_input=3030, right_input=6482, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=1443","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=2048, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1443","layer":3},{"info":"compute unary expreesion, input=1443, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-424147","layer":2},{"info":"number node, value=1973","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=2857, 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=-8049","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=6540","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=6540, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=29942","layer":3},{"info":"compute binary expreesion, left_input=-8049, right_input=29942, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-424147, right_input=160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-848646","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-848646, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⋎⨆⫖↰⪸20B3⨳⩥⨓⫖↰⪸3611)≧⫂∧(↣≠⋷⫖↰⪸1906≌⫖↰⪸3902))⫁((⋣(⫖↰⪸A03↸⫖↰⪸1228))⩷∴(⫖↰⪸1185↱⫖↰⪸17A1⨵⪆⫖↰⪸932≁↽≥⫖↰⪸3950))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⋎⨆⫖↰⪸20B3⨳⩥⨓⫖↰⪸3611)≧⫂∧(↣≠⋷⫖↰⪸1906≌⫖↰⪸3902))⫁((⋣(⫖↰⪸A03↸⫖↰⪸1228))⩷∴(⫖↰⪸1185↱⫖↰⪸17A1⨵⪆⫖↰⪸932≁↽≥⫖↰⪸3950))","cot":[{"info":"⫖↰⪸20B3⨳⩥⨓⫖↰⪸3611=⫖↰⪸151A","layer":3},{"info":"⋎⨆⫖↰⪸151A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1906≌⫖↰⪸3902=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫖↰⪸0≧⫂∧NaN=NaN","layer":1},{"info":"⫖↰⪸A03↸⫖↰⪸1228=⫖↰⪸A03","layer":3},{"info":"⋣⫖↰⪸A03=⫖↰⪸-185557","layer":2},{"info":"⫖↰⪸1185↱⫖↰⪸17A1=⫖↰⪸-47A9","layer":3},{"info":"⫖↰⪸932≁↽≥⫖↰⪸3950=⫖↰⪸153B2","layer":3},{"info":"⫖↰⪸-47A9⨵⪆⫖↰⪸153B2=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-185557⩷∴⫖↰⪸114=⫖↰⪸-34B146","layer":1},{"info":"NaN⫁⫖↰⪸-34B146=⫖↰⪸114","layer":0}]}
{"id":277,"expression_no_base_symbol":"⨴⫝($1404$⩍⋽⫝̸$1296$⩘(⇜$4992$))⨜⨶($2234$⋝⋈⪟$4287$⋻⩜⩜$2119$≬⇓$7962$)","expression":"⨴⫝(⫖↰⪸990⩍⋽⫝̸⫖↰⪸900⩘(⇜⫖↰⪸2A80))⨜⨶(⫖↰⪸1362⋝⋈⪟⫖↰⪸2593⋻⩜⩜⫖↰⪸1287≬⇓⫖↰⪸4736)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2586,"operation_count":8,"complexity_ratio":323.25,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1404,"base":12},"right_expr":{"type":"numeric_atoms","value":1296,"base":12}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4992,"base":12}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2234,"base":12},"right_expr":{"type":"numeric_atoms","value":4287,"base":12}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2119,"base":12},"right_expr":{"type":"numeric_atoms","value":7962,"base":12}}}}},"used_operators":["SVb2v531z1","HiPekx5b7W","cHh1gJQ2o6","BiWNJpBvwn","lFBm8KRb8F","oDCm7WA9JY","2DDjHMKMc0","jWTQ2TZYIH"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Ph9nP6C5qx","xUOZtlo3hN","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⫖↰⪸B44832","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1404","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1296, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=350","layer":3},{"info":"number node, value=4992","layer":4},{"info":"compute unary expreesion, input=4992, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-40344","layer":3},{"info":"compute binary expreesion, left_input=350, right_input=-40344, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=2234","layer":4},{"info":"number node, value=4287","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=4287, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2234","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=7962","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=7962, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=2234, right_input=-22, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4468","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=4468, 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=-8680","layer":1},{"info":"compute unary expreesion, input=-8680, 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":12,"result_base":12,"text":"⨴⫝(⫖↰⪸990⩍⋽⫝̸⫖↰⪸900⩘(⇜⫖↰⪸2A80))⨜⨶(⫖↰⪸1362⋝⋈⪟⫖↰⪸2593⋻⩜⩜⫖↰⪸1287≬⇓⫖↰⪸4736)=⫖↰⪸B44832","reverse_text":"⫖↰⪸B44832=⨴⫝(⫖↰⪸990⩍⋽⫝̸⫖↰⪸900⩘(⇜⫖↰⪸2A80))⨜⨶(⫖↰⪸1362⋝⋈⪟⫖↰⪸2593⋻⩜⩜⫖↰⪸1287≬⇓⫖↰⪸4736)","cot":[{"info":"⫖↰⪸990⩍⋽⫝̸⫖↰⪸900=⫖↰⪸252","layer":3},{"info":"⇜⫖↰⪸2A80=⫖↰⪸-1B420","layer":3},{"info":"⫖↰⪸252⩘⫖↰⪸-1B420=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1362⋝⋈⪟⫖↰⪸2593=⫖↰⪸1362","layer":3},{"info":"⫖↰⪸1287≬⇓⫖↰⪸4736=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸1362⋻⩜⩜⫖↰⪸-1A=⫖↰⪸2704","layer":2},{"info":"⫖↰⪸114⨜⨶⫖↰⪸2704=⫖↰⪸-5034","layer":1},{"info":"⨴⫝⫖↰⪸-5034=⫖↰⪸B44832","layer":0}]}
{"id":278,"expression_no_base_symbol":"((⇘($3189$⫡⨏$1129$))⨵⪆$1100$⇻⋧≁$1495$∺≝⩲$4846$⨽∌$1022$)∊∟⩊(↣≠⋷$1760$)⋕⪉⪜(↥≼⋛$2555$)⨥⫆($2168$↼⊘⨖$6383$⫥∨⫟$6057$⫞⩸⩒$3086$)","expression":"((⇘(⫖↰⪸1A19⫡⨏⫖↰⪸7A1))⨵⪆⫖↰⪸778⇻⋧≁⫖↰⪸A47∺≝⩲⫖↰⪸297A⨽∌⫖↰⪸712)∊∟⩊(↣≠⋷⫖↰⪸1028)⋕⪉⪜(↥≼⋛⫖↰⪸158B)⨥⫆(⫖↰⪸1308↼⊘⨖⫖↰⪸383B⫥∨⫟⫖↰⪸3609⫞⩸⩒⫖↰⪸1952)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":39445,"operation_count":14,"complexity_ratio":2817.5,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3189,"base":12},"right_expr":{"type":"numeric_atoms","value":1129,"base":12}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1100,"base":12},"right_expr":{"type":"numeric_atoms","value":1495,"base":12}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4846,"base":12},"right_expr":{"type":"numeric_atoms","value":1022,"base":12}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1760,"base":12}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2555,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2168,"base":12},"right_expr":{"type":"numeric_atoms","value":6383,"base":12}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6057,"base":12},"right_expr":{"type":"numeric_atoms","value":3086,"base":12}}}}},"used_operators":["ddLRYrp01A","2DQ55sFlQl","MGuIdZPyUC","QMFrweE19q","KPf6cnQVty","jCPkEVoL5K","9samAPKr6k","yXekIHxTD4","z6LnFrNh4i","Asc51vEJeQ","x5lMkHmzsq","KYD54nUTWz","bPywburJMS","XGcMNugi78"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⫖↰⪸7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3189","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=1129, 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=18986","layer":3},{"info":"compute unary expreesion, input=18986, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=1133542","layer":2},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1495, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4846","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4846, right_input=1022, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1133542, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1760","layer":4},{"info":"compute unary expreesion, input=1760, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2555","layer":4},{"info":"compute unary expreesion, input=2555, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=2168","layer":4},{"info":"number node, value=6383","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=6383, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12544","layer":3},{"info":"number node, value=6057","layer":4},{"info":"number node, value=3086","layer":4},{"info":"compute binary expreesion, left_input=6057, right_input=3086, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3086","layer":3},{"info":"compute binary expreesion, left_input=12544, right_input=3086, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7","layer":0}],"base":12,"result_base":12,"text":"((⇘(⫖↰⪸1A19⫡⨏⫖↰⪸7A1))⨵⪆⫖↰⪸778⇻⋧≁⫖↰⪸A47∺≝⩲⫖↰⪸297A⨽∌⫖↰⪸712)∊∟⩊(↣≠⋷⫖↰⪸1028)⋕⪉⪜(↥≼⋛⫖↰⪸158B)⨥⫆(⫖↰⪸1308↼⊘⨖⫖↰⪸383B⫥∨⫟⫖↰⪸3609⫞⩸⩒⫖↰⪸1952)=⫖↰⪸7","reverse_text":"⫖↰⪸7=((⇘(⫖↰⪸1A19⫡⨏⫖↰⪸7A1))⨵⪆⫖↰⪸778⇻⋧≁⫖↰⪸A47∺≝⩲⫖↰⪸297A⨽∌⫖↰⪸712)∊∟⩊(↣≠⋷⫖↰⪸1028)⋕⪉⪜(↥≼⋛⫖↰⪸158B)⨥⫆(⫖↰⪸1308↼⊘⨖⫖↰⪸383B⫥∨⫟⫖↰⪸3609⫞⩸⩒⫖↰⪸1952)","cot":[{"info":"⫖↰⪸1A19⫡⨏⫖↰⪸7A1=⫖↰⪸ABA2","layer":3},{"info":"⇘⫖↰⪸ABA2=⫖↰⪸467B9A","layer":2},{"info":"⫖↰⪸778⇻⋧≁⫖↰⪸A47=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸297A⨽∌⫖↰⪸712=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-313∺≝⩲⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸467B9A⨵⪆⫖↰⪸114=⫖↰⪸114","layer":1},{"info":"↣≠⋷⫖↰⪸1028=NaN","layer":3},{"info":"↥≼⋛⫖↰⪸158B=⫖↰⪸-95","layer":3},{"info":"NaN⋕⪉⪜⫖↰⪸-95=⫖↰⪸150","layer":2},{"info":"⫖↰⪸1308↼⊘⨖⫖↰⪸383B=⫖↰⪸7314","layer":3},{"info":"⫖↰⪸3609⫞⩸⩒⫖↰⪸1952=⫖↰⪸1952","layer":3},{"info":"⫖↰⪸7314⫥∨⫟⫖↰⪸1952=NaN","layer":2},{"info":"⫖↰⪸150⨥⫆NaN=NaN","layer":1},{"info":"⫖↰⪸114∊∟⩊NaN=⫖↰⪸7","layer":0}]}
{"id":279,"expression_no_base_symbol":"(⊑(⩦⊞(⪁⇼$1337$)))⇣⩺⋵((↽≂$2798$)⇴∐$2296$⪮%⊝$4937$∛≔)","expression":"(⊑(⩦⊞(⪁⇼⫖↰⪸935)))⇣⩺⋵((↽≂⫖↰⪸1752)⇴∐⫖↰⪸13B4⪮%⊝⫖↰⪸2A35∛≔)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":960,"operation_count":8,"complexity_ratio":120.0,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1337,"base":12}}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2798,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2296,"base":12},"right_expr":{"type":"numeric_atoms","value":4937,"base":12}}}}},"used_operators":["F4yD0voBRQ","IkUmn0D7oy","u7fv1HBiaC","ZNVVrZ94lY","mGnSCrte3L","HnzytWxmAO","u6S6b8DprG","IWmyXbctLI"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸-198","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":4},{"info":"compute unary expreesion, input=1337, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-149","layer":2},{"info":"compute unary expreesion, input=-149, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=2798","layer":4},{"info":"compute unary expreesion, input=2798, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5596","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=4937, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4908","layer":3},{"info":"compute binary expreesion, left_input=-5596, right_input=4908, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=-305287, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":12,"result_base":12,"text":"(⊑(⩦⊞(⪁⇼⫖↰⪸935)))⇣⩺⋵((↽≂⫖↰⪸1752)⇴∐⫖↰⪸13B4⪮%⊝⫖↰⪸2A35∛≔)=⫖↰⪸-198","reverse_text":"⫖↰⪸-198=(⊑(⩦⊞(⪁⇼⫖↰⪸935)))⇣⩺⋵((↽≂⫖↰⪸1752)⇴∐⫖↰⪸13B4⪮%⊝⫖↰⪸2A35∛≔)","cot":[{"info":"⪁⇼⫖↰⪸935=⫖↰⪸2B2","layer":3},{"info":"⩦⊞⫖↰⪸2B2=⫖↰⪸-105","layer":2},{"info":"⊑⫖↰⪸-105=⫖↰⪸140","layer":1},{"info":"↽≂⫖↰⪸1752=⫖↰⪸-32A4","layer":3},{"info":"⫖↰⪸13B4⪮%⊝⫖↰⪸2A35=⫖↰⪸2A10","layer":3},{"info":"⫖↰⪸-32A4⇴∐⫖↰⪸2A10=⫖↰⪸-98","layer":2},{"info":"⫖↰⪸-98∛≔=⫖↰⪸-128807","layer":1},{"info":"⫖↰⪸140⇣⩺⋵⫖↰⪸-128807=⫖↰⪸-198","layer":0}]}
{"id":280,"expression_no_base_symbol":"($2608$↞⋁$2299$⩦($1435$⫽⇹≛)⫡⨏$7990$≎⪠$2931$≚⊃≕$1002$⨥⫆$2404$)⩁⩘(($1133$⪓⨏)≌($1436$⋕⪉⪜$1482$)⪪($2330$⋝⋈⪟$6152$∲⫓$1424$⩚⊴⇥$2927$))","expression":"(⫖↰⪸1614↞⋁⫖↰⪸13B7⩦(⫖↰⪸9B7⫽⇹≛)⫡⨏⫖↰⪸475A≎⪠⫖↰⪸1843≚⊃≕⫖↰⪸6B6⨥⫆⫖↰⪸1484)⩁⩘((⫖↰⪸7A5⪓⨏)≌(⫖↰⪸9B8⋕⪉⪜⫖↰⪸A36)⪪(⫖↰⪸1422⋝⋈⪟⫖↰⪸3688∲⫓⫖↰⪸9A8⩚⊴⇥⫖↰⪸183B))","highest_n_order":5,"priority_hierarchical_complexity":15,"normalized_expansion_degree":23713,"operation_count":15,"complexity_ratio":1580.8666666666666,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2608,"base":12},"right_expr":{"type":"numeric_atoms","value":2299,"base":12}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":1435,"base":12}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":7990,"base":12},"right_expr":{"type":"numeric_atoms","value":2931,"base":12}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":2404,"base":12}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1133,"base":12}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1436,"base":12},"right_expr":{"type":"numeric_atoms","value":1482,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2330,"base":12},"right_expr":{"type":"numeric_atoms","value":6152,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1424,"base":12},"right_expr":{"type":"numeric_atoms","value":2927,"base":12}}}}},"used_operators":["gub5Cegaqo","QMFrweE19q","0kmYd0q39Y","RqrPlJkxDo","NNaDxxp6OQ","Bmrmz2XGnR","aNhz54LH3e","yXekIHxTD4","xD69zh8xqp","lyWz822IDG","4X9JU4Jbn6","z6LnFrNh4i","i8ToyICDmI","2DDjHMKMc0","NTOWxs364D"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=2299, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=272, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=7990","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=7990, right_input=2931, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2404, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4684","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=4684, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"number node, value=1436","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=1482, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=2330","layer":4},{"info":"number node, value=6152","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=6152, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2330","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=2927","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=2927, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4472","layer":3},{"info":"compute binary expreesion, left_input=2330, right_input=-4472, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2330","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2330, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1614↞⋁⫖↰⪸13B7⩦(⫖↰⪸9B7⫽⇹≛)⫡⨏⫖↰⪸475A≎⪠⫖↰⪸1843≚⊃≕⫖↰⪸6B6⨥⫆⫖↰⪸1484)⩁⩘((⫖↰⪸7A5⪓⨏)≌(⫖↰⪸9B8⋕⪉⪜⫖↰⪸A36)⪪(⫖↰⪸1422⋝⋈⪟⫖↰⪸3688∲⫓⫖↰⪸9A8⩚⊴⇥⫖↰⪸183B))=NaN","reverse_text":"NaN=(⫖↰⪸1614↞⋁⫖↰⪸13B7⩦(⫖↰⪸9B7⫽⇹≛)⫡⨏⫖↰⪸475A≎⪠⫖↰⪸1843≚⊃≕⫖↰⪸6B6⨥⫆⫖↰⪸1484)⩁⩘((⫖↰⪸7A5⪓⨏)≌(⫖↰⪸9B8⋕⪉⪜⫖↰⪸A36)⪪(⫖↰⪸1422⋝⋈⪟⫖↰⪸3688∲⫓⫖↰⪸9A8⩚⊴⇥⫖↰⪸183B))","cot":[{"info":"⫖↰⪸1614↞⋁⫖↰⪸13B7=NaN","layer":3},{"info":"⫖↰⪸9B7⫽⇹≛=⫖↰⪸1A8","layer":3},{"info":"NaN⩦⫖↰⪸1A8=NaN","layer":2},{"info":"⫖↰⪸475A≎⪠⫖↰⪸1843=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸6B6⨥⫆⫖↰⪸1484=⫖↰⪸2864","layer":3},{"info":"⫖↰⪸B39A≚⊃≕⫖↰⪸2864=⫖↰⪸57","layer":2},{"info":"NaN⫡⨏⫖↰⪸57=NaN","layer":1},{"info":"⫖↰⪸7A5⪓⨏=NaN","layer":3},{"info":"⫖↰⪸9B8⋕⪉⪜⫖↰⪸A36=⫖↰⪸1756","layer":3},{"info":"NaN≌⫖↰⪸1756=NaN","layer":2},{"info":"⫖↰⪸1422⋝⋈⪟⫖↰⪸3688=⫖↰⪸1422","layer":3},{"info":"⫖↰⪸9A8⩚⊴⇥⫖↰⪸183B=⫖↰⪸-2708","layer":3},{"info":"⫖↰⪸1422∲⫓⫖↰⪸-2708=⫖↰⪸1422","layer":2},{"info":"NaN⪪⫖↰⪸1422=NaN","layer":1},{"info":"NaN⩁⩘NaN=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"⩷(($7084$⨸$2905$)≁↽≥($1413$⩺⪪$2483$)⪔(⨣⨃⇪($1463$⪒⊣⊆$2634$)))","expression":"⩷((⫖↰⪸4124⨸⫖↰⪸1821)≁↽≥(⫖↰⪸999⩺⪪⫖↰⪸152B)⪔(⨣⨃⇪(⫖↰⪸A1B⪒⊣⊆⫖↰⪸1636)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10701,"operation_count":7,"complexity_ratio":1528.7142857142858,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":7084,"base":12},"right_expr":{"type":"numeric_atoms","value":2905,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1413,"base":12},"right_expr":{"type":"numeric_atoms","value":2483,"base":12}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1463,"base":12},"right_expr":{"type":"numeric_atoms","value":2634,"base":12}}}}},"used_operators":["1h0rLqGiFr","GjBEYRfMaF","ncHt1X6cMc","KmoU8R5UQR","uvdQJvN4PV","AcOhelriW5","eRqsBgTDFp"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","oWn0xqSxBt","3Oe9XWJUTD","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","sdazOOVcIp","W4YGzv6Whe"],"result":"⫖↰⪸-3207","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7084","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=7084, right_input=2905, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=14168","layer":3},{"info":"number node, value=1413","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=2483, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=14168, right_input=-1818, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=1463","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=2634, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2926","layer":3},{"info":"compute unary expreesion, input=2926, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=1405, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute unary expreesion, input=450, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-5479","layer":0}],"base":12,"result_base":12,"text":"⩷((⫖↰⪸4124⨸⫖↰⪸1821)≁↽≥(⫖↰⪸999⩺⪪⫖↰⪸152B)⪔(⨣⨃⇪(⫖↰⪸A1B⪒⊣⊆⫖↰⪸1636)))=⫖↰⪸-3207","reverse_text":"⫖↰⪸-3207=⩷((⫖↰⪸4124⨸⫖↰⪸1821)≁↽≥(⫖↰⪸999⩺⪪⫖↰⪸152B)⪔(⨣⨃⇪(⫖↰⪸A1B⪒⊣⊆⫖↰⪸1636)))","cot":[{"info":"⫖↰⪸4124⨸⫖↰⪸1821=⫖↰⪸8248","layer":3},{"info":"⫖↰⪸999⩺⪪⫖↰⪸152B=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸8248≁↽≥⫖↰⪸-1076=⫖↰⪸144","layer":2},{"info":"⫖↰⪸A1B⪒⊣⊆⫖↰⪸1636=⫖↰⪸183A","layer":3},{"info":"⨣⨃⇪⫖↰⪸183A=⫖↰⪸991","layer":2},{"info":"⫖↰⪸144⪔⫖↰⪸991=⫖↰⪸316","layer":1},{"info":"⩷⫖↰⪸316=⫖↰⪸-3207","layer":0}]}
{"id":282,"expression_no_base_symbol":"(($7599$≒∊$1920$)⨚($5373$⩒⫫$4689$)∝$1141$∇⊂⋱$2900$⋾⨃∁($4095$⩠))⫢⨠(($1218$⋥≓≎$3478$)⇂≾⫗($1828$⪉⨛$1833$)∷(⩏⊷≩$1049$⨽∌$7914$))","expression":"((⫖↰⪸4493≒∊⫖↰⪸1140)⨚(⫖↰⪸3139⩒⫫⫖↰⪸2869)∝⫖↰⪸7B1∇⊂⋱⫖↰⪸1818⋾⨃∁(⫖↰⪸2453⩠))⫢⨠((⫖↰⪸856⋥≓≎⫖↰⪸201A)⇂≾⫗(⫖↰⪸1084⪉⨛⫖↰⪸1089)∷(⩏⊷≩⫖↰⪸735⨽∌⫖↰⪸46B6))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":388,"operation_count":14,"complexity_ratio":27.714285714285715,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":7599,"base":12},"right_expr":{"type":"numeric_atoms","value":1920,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5373,"base":12},"right_expr":{"type":"numeric_atoms","value":4689,"base":12}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1141,"base":12},"right_expr":{"type":"numeric_atoms","value":2900,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4095,"base":12}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1218,"base":12},"right_expr":{"type":"numeric_atoms","value":3478,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1828,"base":12},"right_expr":{"type":"numeric_atoms","value":1833,"base":12}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1049,"base":12},"right_expr":{"type":"numeric_atoms","value":7914,"base":12}}}}},"used_operators":["xlXykHWxX1","cTDWOvIxvz","nREPSIbpBE","5KTvxBwnZo","KFSx94NKJn","212REbPD9h","nhYeJWJD5X","sJAwomhLZr","D3AQDKkPcf","aBQ6xLxuTc","Qy55tPpLXF","EWw2JM7wp4","uOZ1tnYMDE","9samAPKr6k"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","7j4O788W3g","W4YGzv6Whe","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","12rbrZMWeM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⫖↰⪸107A42","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7599","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=7599, right_input=1920, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-7115","layer":3},{"info":"number node, value=5373","layer":4},{"info":"number node, value=4689","layer":4},{"info":"compute binary expreesion, left_input=5373, right_input=4689, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5071","layer":3},{"info":"compute binary expreesion, left_input=-7115, right_input=5071, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-33580","layer":2},{"info":"number node, value=1141","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=2900, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1736","layer":3},{"info":"number node, value=4095","layer":4},{"info":"compute unary expreesion, input=4095, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1736, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":2},{"info":"compute binary expreesion, left_input=-33580, right_input=-94, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-33575","layer":1},{"info":"number node, value=1218","layer":4},{"info":"number node, value=3478","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=3478, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5771","layer":3},{"info":"number node, value=1828","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=1833, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3866","layer":3},{"info":"compute binary expreesion, left_input=5771, right_input=3866, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=1049","layer":4},{"info":"number node, value=7914","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=7914, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=614","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=614, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=614","layer":1},{"info":"compute binary expreesion, left_input=-33575, right_input=614, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=262418","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4493≒∊⫖↰⪸1140)⨚(⫖↰⪸3139⩒⫫⫖↰⪸2869)∝⫖↰⪸7B1∇⊂⋱⫖↰⪸1818⋾⨃∁(⫖↰⪸2453⩠))⫢⨠((⫖↰⪸856⋥≓≎⫖↰⪸201A)⇂≾⫗(⫖↰⪸1084⪉⨛⫖↰⪸1089)∷(⩏⊷≩⫖↰⪸735⨽∌⫖↰⪸46B6))=⫖↰⪸107A42","reverse_text":"⫖↰⪸107A42=((⫖↰⪸4493≒∊⫖↰⪸1140)⨚(⫖↰⪸3139⩒⫫⫖↰⪸2869)∝⫖↰⪸7B1∇⊂⋱⫖↰⪸1818⋾⨃∁(⫖↰⪸2453⩠))⫢⨠((⫖↰⪸856⋥≓≎⫖↰⪸201A)⇂≾⫗(⫖↰⪸1084⪉⨛⫖↰⪸1089)∷(⩏⊷≩⫖↰⪸735⨽∌⫖↰⪸46B6))","cot":[{"info":"⫖↰⪸4493≒∊⫖↰⪸1140=⫖↰⪸-414B","layer":3},{"info":"⫖↰⪸3139⩒⫫⫖↰⪸2869=⫖↰⪸2B27","layer":3},{"info":"⫖↰⪸-414B⨚⫖↰⪸2B27=⫖↰⪸-17524","layer":2},{"info":"⫖↰⪸7B1∇⊂⋱⫖↰⪸1818=⫖↰⪸1008","layer":3},{"info":"⫖↰⪸2453⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1008⋾⨃∁⫖↰⪸0=⫖↰⪸-7A","layer":2},{"info":"⫖↰⪸-17524∝⫖↰⪸-7A=⫖↰⪸-1751B","layer":1},{"info":"⫖↰⪸856⋥≓≎⫖↰⪸201A=⫖↰⪸340B","layer":3},{"info":"⫖↰⪸1084⪉⨛⫖↰⪸1089=⫖↰⪸22A2","layer":3},{"info":"⫖↰⪸340B⇂≾⫗⫖↰⪸22A2=⫖↰⪸-484","layer":2},{"info":"⫖↰⪸735⨽∌⫖↰⪸46B6=⫖↰⪸0","layer":3},{"info":"⩏⊷≩⫖↰⪸0=⫖↰⪸432","layer":2},{"info":"⫖↰⪸-484∷⫖↰⪸432=⫖↰⪸432","layer":1},{"info":"⫖↰⪸-1751B⫢⨠⫖↰⪸432=⫖↰⪸107A42","layer":0}]}
{"id":283,"expression_no_base_symbol":"($4232$⪒⊣⊆$4625$⫦⪉$6540$⪬$4795$)↓(≪$1502$)⇂≾⫗($3456$⪶≀⋏$7422$)⫔⩽⩺(⊵⊁(⋃$3066$))↤⩊(($1097$≄⊠$1993$)⫯⪬∳($3993$≬⋮$3232$))","expression":"(⫖↰⪸2548⪒⊣⊆⫖↰⪸2815⫦⪉⫖↰⪸3950⪬⫖↰⪸2937)↓(≪⫖↰⪸A52)⇂≾⫗(⫖↰⪸2000⪶≀⋏⫖↰⪸4366)⫔⩽⩺(⊵⊁(⋃⫖↰⪸1936))↤⩊((⫖↰⪸775≄⊠⫖↰⪸11A1)⫯⪬∳(⫖↰⪸2389≬⋮⫖↰⪸1A54))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10693,"operation_count":14,"complexity_ratio":763.7857142857143,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4232,"base":12},"right_expr":{"type":"numeric_atoms","value":4625,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":6540,"base":12},"right_expr":{"type":"numeric_atoms","value":4795,"base":12}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1502,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3456,"base":12},"right_expr":{"type":"numeric_atoms","value":7422,"base":12}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3066,"base":12}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1097,"base":12},"right_expr":{"type":"numeric_atoms","value":1993,"base":12}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3993,"base":12},"right_expr":{"type":"numeric_atoms","value":3232,"base":12}}}}},"used_operators":["i9eR4S00cU","Af076pWI7l","wscyQdcy20","eRqsBgTDFp","Ez1Nq5fNfI","aBQ6xLxuTc","Qtd6bqUJcN","zR4jO40bMj","13rbtpv6ld","AvED76WdY7","3mBM5G4a3l","d7ASUq0ydm","vXNesLlMH1","kbkesczE7y"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","sdazOOVcIp","W4YGzv6Whe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","uBihLCJcMX","k8jYdgA6NY","g55IO6H4Gj","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4232","layer":4},{"info":"number node, value=4625","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=4625, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8464","layer":3},{"info":"number node, value=6540","layer":4},{"info":"number node, value=4795","layer":4},{"info":"compute binary expreesion, left_input=6540, right_input=4795, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=8464, right_input=1234, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-12028","layer":2},{"info":"number node, value=1502","layer":4},{"info":"compute unary expreesion, input=1502, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=3456","layer":4},{"info":"number node, value=7422","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=7422, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-25444","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-25444, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=-12028, right_input=-670, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=3066","layer":4},{"info":"compute unary expreesion, input=3066, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6234","layer":3},{"info":"compute unary expreesion, input=6234, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=36334","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1993, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=36556","layer":3},{"info":"number node, value=3993","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=3993, right_input=3232, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=36556, right_input=868, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=181945","layer":2},{"info":"compute binary expreesion, left_input=36334, right_input=181945, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2548⪒⊣⊆⫖↰⪸2815⫦⪉⫖↰⪸3950⪬⫖↰⪸2937)↓(≪⫖↰⪸A52)⇂≾⫗(⫖↰⪸2000⪶≀⋏⫖↰⪸4366)⫔⩽⩺(⊵⊁(⋃⫖↰⪸1936))↤⩊((⫖↰⪸775≄⊠⫖↰⪸11A1)⫯⪬∳(⫖↰⪸2389≬⋮⫖↰⪸1A54))=NaN","reverse_text":"NaN=(⫖↰⪸2548⪒⊣⊆⫖↰⪸2815⫦⪉⫖↰⪸3950⪬⫖↰⪸2937)↓(≪⫖↰⪸A52)⇂≾⫗(⫖↰⪸2000⪶≀⋏⫖↰⪸4366)⫔⩽⩺(⊵⊁(⋃⫖↰⪸1936))↤⩊((⫖↰⪸775≄⊠⫖↰⪸11A1)⫯⪬∳(⫖↰⪸2389≬⋮⫖↰⪸1A54))","cot":[{"info":"⫖↰⪸2548⪒⊣⊆⫖↰⪸2815=⫖↰⪸4A94","layer":3},{"info":"⫖↰⪸3950⪬⫖↰⪸2937=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸4A94⫦⪉⫖↰⪸86A=⫖↰⪸-6B64","layer":2},{"info":"≪⫖↰⪸A52=⫖↰⪸641","layer":3},{"info":"⫖↰⪸2000⪶≀⋏⫖↰⪸4366=⫖↰⪸-12884","layer":3},{"info":"⫖↰⪸641⇂≾⫗⫖↰⪸-12884=⫖↰⪸-47A","layer":2},{"info":"⫖↰⪸-6B64↓⫖↰⪸-47A=⫖↰⪸-B2","layer":1},{"info":"⋃⫖↰⪸1936=⫖↰⪸3736","layer":3},{"info":"⊵⊁⫖↰⪸3736=⫖↰⪸1903A","layer":2},{"info":"⫖↰⪸775≄⊠⫖↰⪸11A1=⫖↰⪸191A4","layer":3},{"info":"⫖↰⪸2389≬⋮⫖↰⪸1A54=⫖↰⪸604","layer":3},{"info":"⫖↰⪸191A4⫯⪬∳⫖↰⪸604=⫖↰⪸89361","layer":2},{"info":"⫖↰⪸1903A↤⩊⫖↰⪸89361=NaN","layer":1},{"info":"⫖↰⪸-B2⫔⩽⩺NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"⊵⊁((($4147$⪝$1002$)⊀⩕)∓⋝(≦∁($1263$↛⩡⫤)))","expression":"⊵⊁(((⫖↰⪸2497⪝⫖↰⪸6B6)⊀⩕)∓⋝(≦∁(⫖↰⪸893↛⩡⫤)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6286,"operation_count":6,"complexity_ratio":1047.6666666666667,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4147,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1263,"base":12}}}}},"used_operators":["AvED76WdY7","PoHhknlbAi","r0FS3hW4cC","wicAB68Tmb","9ICcGScMcE","FU0Cs4j7VP"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rGHVDoGpnC","nhYeJWJD5X","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫖↰⪸624","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4147","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=1002, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-12979","layer":3},{"info":"compute unary expreesion, input=-12979, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-186802","layer":3},{"info":"compute unary expreesion, input=-186802, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":1},{"info":"compute unary expreesion, input=121, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=892","layer":0}],"base":12,"result_base":12,"text":"⊵⊁(((⫖↰⪸2497⪝⫖↰⪸6B6)⊀⩕)∓⋝(≦∁(⫖↰⪸893↛⩡⫤)))=⫖↰⪸624","reverse_text":"⫖↰⪸624=⊵⊁(((⫖↰⪸2497⪝⫖↰⪸6B6)⊀⩕)∓⋝(≦∁(⫖↰⪸893↛⩡⫤)))","cot":[{"info":"⫖↰⪸2497⪝⫖↰⪸6B6=⫖↰⪸-7617","layer":3},{"info":"⫖↰⪸-7617⊀⩕=⫖↰⪸0","layer":2},{"info":"⫖↰⪸893↛⩡⫤=⫖↰⪸-9012A","layer":3},{"info":"≦∁⫖↰⪸-9012A=⫖↰⪸57","layer":2},{"info":"⫖↰⪸0∓⋝⫖↰⪸57=⫖↰⪸A1","layer":1},{"info":"⊵⊁⫖↰⪸A1=⫖↰⪸624","layer":0}]}
{"id":285,"expression_no_base_symbol":"(($4030$+$2448$)∌↝($3567$∖$3963$)⪒$2249$⨒$3933$∙∹∝$3878$⇷$1010$)⊋(≇⪴($1055$≄⊠$3800$⪍↜⋙$3629$≎⪠$3335$))","expression":"((⫖↰⪸23BA+⫖↰⪸1500)∌↝(⫖↰⪸2093∖⫖↰⪸2363)⪒⫖↰⪸1375⨒⫖↰⪸2339∙∹∝⫖↰⪸22B2⇷⫖↰⪸702)⊋(≇⪴(⫖↰⪸73B≄⊠⫖↰⪸2248⪍↜⋙⫖↰⪸2125≎⪠⫖↰⪸1B1B))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":74107,"operation_count":12,"complexity_ratio":6175.583333333333,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4030,"base":12},"right_expr":{"type":"numeric_atoms","value":2448,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3567,"base":12},"right_expr":{"type":"numeric_atoms","value":3963,"base":12}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2249,"base":12},"right_expr":{"type":"numeric_atoms","value":3933,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3878,"base":12},"right_expr":{"type":"numeric_atoms","value":1010,"base":12}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1055,"base":12},"right_expr":{"type":"numeric_atoms","value":3800,"base":12}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3629,"base":12},"right_expr":{"type":"numeric_atoms","value":3335,"base":12}}}}},"used_operators":["W4tP9CfskL","f6k1SAg4EE","9Isq31Ruls","W4YGzv6Whe","tXD093vOjl","HmxsFra2vL","y75s1iXyHd","mp7IySMOzn","zoVPnxeHJ3","L05ObWFQCd","vXNesLlMH1","aNhz54LH3e"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⫖↰⪸-1A07A12","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4030","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=2448, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6478","layer":3},{"info":"number node, value=3567","layer":4},{"info":"number node, value=3963","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=3963, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6478, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"number node, value=2249","layer":4},{"info":"number node, value=3933","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=3933, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13122","layer":3},{"info":"number node, value=3878","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=1010, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2020","layer":3},{"info":"compute binary expreesion, left_input=-13122, right_input=2020, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=0","layer":1},{"info":"number node, value=1055","layer":4},{"info":"number node, value=3800","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=3800, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=65468","layer":3},{"info":"number node, value=3629","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=3335, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=65468, right_input=19558, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=91820","layer":2},{"info":"compute unary expreesion, input=91820, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-274120","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-274120, 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=-5487854","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸23BA+⫖↰⪸1500)∌↝(⫖↰⪸2093∖⫖↰⪸2363)⪒⫖↰⪸1375⨒⫖↰⪸2339∙∹∝⫖↰⪸22B2⇷⫖↰⪸702)⊋(≇⪴(⫖↰⪸73B≄⊠⫖↰⪸2248⪍↜⋙⫖↰⪸2125≎⪠⫖↰⪸1B1B))=⫖↰⪸-1A07A12","reverse_text":"⫖↰⪸-1A07A12=((⫖↰⪸23BA+⫖↰⪸1500)∌↝(⫖↰⪸2093∖⫖↰⪸2363)⪒⫖↰⪸1375⨒⫖↰⪸2339∙∹∝⫖↰⪸22B2⇷⫖↰⪸702)⊋(≇⪴(⫖↰⪸73B≄⊠⫖↰⪸2248⪍↜⋙⫖↰⪸2125≎⪠⫖↰⪸1B1B))","cot":[{"info":"⫖↰⪸23BA+⫖↰⪸1500=⫖↰⪸38BA","layer":3},{"info":"⫖↰⪸2093∖⫖↰⪸2363=⫖↰⪸0","layer":3},{"info":"⫖↰⪸38BA∌↝⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1375⨒⫖↰⪸2339=⫖↰⪸-7716","layer":3},{"info":"⫖↰⪸22B2⇷⫖↰⪸702=⫖↰⪸1204","layer":3},{"info":"⫖↰⪸-7716∙∹∝⫖↰⪸1204=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⪒⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸73B≄⊠⫖↰⪸2248=⫖↰⪸31A78","layer":3},{"info":"⫖↰⪸2125≎⪠⫖↰⪸1B1B=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸31A78⪍↜⋙⫖↰⪸B39A=⫖↰⪸45178","layer":2},{"info":"≇⪴⫖↰⪸45178=⫖↰⪸-112774","layer":1},{"info":"⫖↰⪸0⊋⫖↰⪸-112774=⫖↰⪸-1A07A12","layer":0}]}
{"id":286,"expression_no_base_symbol":"(≇⪴$1874$⋥⋵⩄$1362$⩼⇪↪(⇤←$4150$))⪶≀⋏(($1681$⨻⩈⩔$4124$⪓⨏)⊍⩺⋍($5432$+⇶⊼$2062$)⪡$1786$⪪$1547$)","expression":"(≇⪴⫖↰⪸1102⋥⋵⩄⫖↰⪸956⩼⇪↪(⇤←⫖↰⪸249A))⪶≀⋏((⫖↰⪸B81⨻⩈⩔⫖↰⪸2478⪓⨏)⊍⩺⋍(⫖↰⪸3188+⇶⊼⫖↰⪸123A)⪡⫖↰⪸104A⪪⫖↰⪸A8B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11147,"operation_count":11,"complexity_ratio":1013.3636363636364,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1874,"base":12},"right_expr":{"type":"numeric_atoms","value":1362,"base":12}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":4150,"base":12}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1681,"base":12},"right_expr":{"type":"numeric_atoms","value":4124,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5432,"base":12},"right_expr":{"type":"numeric_atoms","value":2062,"base":12}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1786,"base":12},"right_expr":{"type":"numeric_atoms","value":1547,"base":12}}}}},"used_operators":["zR4jO40bMj","zoVPnxeHJ3","ocnLzx9CaJ","7t3wd0Fuz7","jfAgQ2OQeM","OXDGMFPWZM","4X9JU4Jbn6","nEsXyWgiOK","oraRL2iQuh","TpPTUOHfaN","xD69zh8xqp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AHs5Up7iyr","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1874","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=1362, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=4150","layer":4},{"info":"compute unary expreesion, input=4150, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-19384","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-19384, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=135131","layer":2},{"info":"compute unary expreesion, input=135131, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-404053","layer":1},{"info":"number node, value=1681","layer":4},{"info":"number node, value=4124","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=4124, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5047","layer":3},{"info":"compute unary expreesion, input=5047, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=5432","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=5432, right_input=2062, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1786","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=1547, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-265775","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-265775, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-404053, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≇⪴⫖↰⪸1102⋥⋵⩄⫖↰⪸956⩼⇪↪(⇤←⫖↰⪸249A))⪶≀⋏((⫖↰⪸B81⨻⩈⩔⫖↰⪸2478⪓⨏)⊍⩺⋍(⫖↰⪸3188+⇶⊼⫖↰⪸123A)⪡⫖↰⪸104A⪪⫖↰⪸A8B)=NaN","reverse_text":"NaN=(≇⪴⫖↰⪸1102⋥⋵⩄⫖↰⪸956⩼⇪↪(⇤←⫖↰⪸249A))⪶≀⋏((⫖↰⪸B81⨻⩈⩔⫖↰⪸2478⪓⨏)⊍⩺⋍(⫖↰⪸3188+⇶⊼⫖↰⪸123A)⪡⫖↰⪸104A⪪⫖↰⪸A8B)","cot":[{"info":"⫖↰⪸1102⋥⋵⩄⫖↰⪸956=⫖↰⪸95","layer":3},{"info":"⇤←⫖↰⪸249A=⫖↰⪸-B274","layer":3},{"info":"⫖↰⪸95⩼⇪↪⫖↰⪸-B274=⫖↰⪸6624B","layer":2},{"info":"≇⪴⫖↰⪸6624B=⫖↰⪸-1759B1","layer":1},{"info":"⫖↰⪸B81⨻⩈⩔⫖↰⪸2478=⫖↰⪸2B07","layer":3},{"info":"⫖↰⪸2B07⪓⨏=NaN","layer":2},{"info":"⫖↰⪸3188+⇶⊼⫖↰⪸123A=NaN","layer":3},{"info":"⫖↰⪸104A⪪⫖↰⪸A8B=⫖↰⪸-10997B","layer":3},{"info":"NaN⪡⫖↰⪸-10997B=NaN","layer":2},{"info":"NaN⊍⩺⋍NaN=NaN","layer":1},{"info":"⫖↰⪸-1759B1⪶≀⋏NaN=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"(($9733$⪡$4055$)⫏⊷)⫁(↨$2089$⨽$1059$)⪨⊡(↣≠⋷$6110$↞⋁$3256$)⨓($2476$↹⊜$3658$⪁$1368$↞⋁$1417$)","expression":"((⫖↰⪸5771⪡⫖↰⪸241B)⫏⊷)⫁(↨⫖↰⪸1261⨽⫖↰⪸743)⪨⊡(↣≠⋷⫖↰⪸3652↞⋁⫖↰⪸1A74)⨓(⫖↰⪸1524↹⊜⫖↰⪸214A⪁⫖↰⪸960↞⋁⫖↰⪸9A1)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13053,"operation_count":12,"complexity_ratio":1087.75,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":9733,"base":12},"right_expr":{"type":"numeric_atoms","value":4055,"base":12}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2089,"base":12},"right_expr":{"type":"numeric_atoms","value":1059,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":6110,"base":12},"right_expr":{"type":"numeric_atoms","value":3256,"base":12}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2476,"base":12},"right_expr":{"type":"numeric_atoms","value":3658,"base":12}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1368,"base":12},"right_expr":{"type":"numeric_atoms","value":1417,"base":12}}}}},"used_operators":["kuIXHzHcAH","0ajvFaJAv0","dcShxvzhyw","oraRL2iQuh","jiX4gk2v2Q","8HhzD0ZcuI","3ViojmjbAp","Asc51vEJeQ","RqrPlJkxDo","I7sXao9hZE","9bazX3JMtO"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","cHh1gJQ2o6","AHs5Up7iyr","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rGHVDoGpnC","oZj3VtZNQx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","AHs5Up7iyr","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9733","layer":4},{"info":"number node, value=4055","layer":4},{"info":"compute binary expreesion, left_input=9733, right_input=4055, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=1059, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13093626","layer":3},{"info":"compute unary expreesion, input=-13093626, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=6110","layer":4},{"info":"number node, value=3256","layer":4},{"info":"compute binary expreesion, left_input=6110, right_input=3256, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2476","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=3658, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-9776","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1417, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9776, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸5771⪡⫖↰⪸241B)⫏⊷)⫁(↨⫖↰⪸1261⨽⫖↰⪸743)⪨⊡(↣≠⋷⫖↰⪸3652↞⋁⫖↰⪸1A74)⨓(⫖↰⪸1524↹⊜⫖↰⪸214A⪁⫖↰⪸960↞⋁⫖↰⪸9A1)=NaN","reverse_text":"NaN=((⫖↰⪸5771⪡⫖↰⪸241B)⫏⊷)⫁(↨⫖↰⪸1261⨽⫖↰⪸743)⪨⊡(↣≠⋷⫖↰⪸3652↞⋁⫖↰⪸1A74)⨓(⫖↰⪸1524↹⊜⫖↰⪸214A⪁⫖↰⪸960↞⋁⫖↰⪸9A1)","cot":[{"info":"⫖↰⪸5771⪡⫖↰⪸241B=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸8B⫏⊷=⫖↰⪸-584","layer":2},{"info":"⫖↰⪸1261⨽⫖↰⪸743=⫖↰⪸-44753B6","layer":3},{"info":"↨⫖↰⪸-44753B6=NaN","layer":2},{"info":"⫖↰⪸-584⫁NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸3652↞⋁⫖↰⪸1A74=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⫖↰⪸1524↹⊜⫖↰⪸214A=⫖↰⪸-57A8","layer":3},{"info":"⫖↰⪸960↞⋁⫖↰⪸9A1=NaN","layer":3},{"info":"⫖↰⪸-57A8⪁NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⫖↰⪸114⪨⊡NaN=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"(⇁⨣⪵$1576$)⇍⊗($1098$↪⪝)⋣⋖(($2436$⫔⩽⩺$4226$)≀⫉(⨵≀≌$1135$))≭(($1066$⩵∡$1088$)⪕($3847$⪗))⨻⩈⩔((∓⪦$5038$)⫚↹⊑$1250$∇⊂⋱$2512$)","expression":"(⇁⨣⪵⫖↰⪸AB4)⇍⊗(⫖↰⪸776↪⪝)⋣⋖((⫖↰⪸14B0⫔⩽⩺⫖↰⪸2542)≀⫉(⨵≀≌⫖↰⪸7A7))≭((⫖↰⪸74A⩵∡⫖↰⪸768)⪕(⫖↰⪸2287⪗))⨻⩈⩔((∓⪦⫖↰⪸2ABA)⫚↹⊑⫖↰⪸882∇⊂⋱⫖↰⪸1554)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4929,"operation_count":15,"complexity_ratio":328.6,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1576,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1098,"base":12}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2436,"base":12},"right_expr":{"type":"numeric_atoms","value":4226,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1135,"base":12}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1066,"base":12},"right_expr":{"type":"numeric_atoms","value":1088,"base":12}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":3847,"base":12}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5038,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1250,"base":12},"right_expr":{"type":"numeric_atoms","value":2512,"base":12}}}}},"used_operators":["rxpJgHHUmx","J0M6qkBnIM","5uvYHDjeKN","inkyxCbjAn","l07mrZUIn9","oZj3VtZNQx","i9eR4S00cU","srAu1WTS94","nEsXyWgiOK","umQnsF7QlU","Y7wcNGrDQJ","VEQNXA0ZBg","dfKe02y8D2","D309nIvmXG","nhYeJWJD5X"],"dependent_operators":["AHs5Up7iyr","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","B5M0gjZbta","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Tw270M8GLb","fu6greOZ01","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","NTOWxs364D","glklzrTFfD","tifHPKVTfV","dWAJyo7jo9","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=67177836","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67177836, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2436","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=4226, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3405","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3405, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-244","layer":1},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1088, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1165","layer":3},{"info":"number node, value=3847","layer":4},{"info":"compute unary expreesion, input=3847, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1165, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=5038","layer":4},{"info":"compute unary expreesion, input=5038, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4630","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=2512, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1954","layer":3},{"info":"compute binary expreesion, left_input=4630, right_input=1954, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=-447, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-174, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇁⨣⪵⫖↰⪸AB4)⇍⊗(⫖↰⪸776↪⪝)⋣⋖((⫖↰⪸14B0⫔⩽⩺⫖↰⪸2542)≀⫉(⨵≀≌⫖↰⪸7A7))≭((⫖↰⪸74A⩵∡⫖↰⪸768)⪕(⫖↰⪸2287⪗))⨻⩈⩔((∓⪦⫖↰⪸2ABA)⫚↹⊑⫖↰⪸882∇⊂⋱⫖↰⪸1554)=NaN","reverse_text":"NaN=(⇁⨣⪵⫖↰⪸AB4)⇍⊗(⫖↰⪸776↪⪝)⋣⋖((⫖↰⪸14B0⫔⩽⩺⫖↰⪸2542)≀⫉(⨵≀≌⫖↰⪸7A7))≭((⫖↰⪸74A⩵∡⫖↰⪸768)⪕(⫖↰⪸2287⪗))⨻⩈⩔((∓⪦⫖↰⪸2ABA)⫚↹⊑⫖↰⪸882∇⊂⋱⫖↰⪸1554)","cot":[{"info":"⇁⨣⪵⫖↰⪸AB4=NaN","layer":3},{"info":"⫖↰⪸776↪⪝=⫖↰⪸1A5B8090","layer":3},{"info":"NaN⇍⊗⫖↰⪸1A5B8090=⫖↰⪸-184","layer":2},{"info":"⫖↰⪸14B0⫔⩽⩺⫖↰⪸2542=NaN","layer":3},{"info":"⨵≀≌⫖↰⪸7A7=⫖↰⪸-1B79","layer":3},{"info":"NaN≀⫉⫖↰⪸-1B79=NaN","layer":2},{"info":"⫖↰⪸-184⋣⋖NaN=⫖↰⪸-184","layer":1},{"info":"⫖↰⪸74A⩵∡⫖↰⪸768=⫖↰⪸-811","layer":3},{"info":"⫖↰⪸2287⪗=NaN","layer":3},{"info":"⫖↰⪸-811⪕NaN=⫖↰⪸65B","layer":2},{"info":"∓⪦⫖↰⪸2ABA=⫖↰⪸281A","layer":3},{"info":"⫖↰⪸882∇⊂⋱⫖↰⪸1554=⫖↰⪸116A","layer":3},{"info":"⫖↰⪸281A⫚↹⊑⫖↰⪸116A=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸65B⨻⩈⩔⫖↰⪸-313=⫖↰⪸-126","layer":1},{"info":"⫖↰⪸-184≭⫖↰⪸-126=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"((⇋⊎⋝(⊲⪭$2849$))∀⋜↑)⫉⨲⊜((⩏⊷≩$1264$)≧⫂∧$2667$∺≝⩲$3244$)↢(($4064$⋓$6345$)∣$1442$⩁⩘$2481$)","expression":"((⇋⊎⋝(⊲⪭⫖↰⪸1795))∀⋜↑)⫉⨲⊜((⩏⊷≩⫖↰⪸894)≧⫂∧⫖↰⪸1663∺≝⩲⫖↰⪸1A64)↢((⫖↰⪸2428⋓⫖↰⪸3809)∣⫖↰⪸A02⩁⩘⫖↰⪸1529)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3112,"operation_count":11,"complexity_ratio":282.90909090909093,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2849,"base":12}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1264,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2667,"base":12},"right_expr":{"type":"numeric_atoms","value":3244,"base":12}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4064,"base":12},"right_expr":{"type":"numeric_atoms","value":6345,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1442,"base":12},"right_expr":{"type":"numeric_atoms","value":2481,"base":12}}}}},"used_operators":["WhqkvtTD3t","KipPnG1M2J","CzM2PEoXns","k7HXdKtiEU","WR6HLWljOP","Ph9nP6C5qx","uOZ1tnYMDE","KPf6cnQVty","PPChnnnBFF","T2fj7uvVaJ","gub5Cegaqo"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","dWAJyo7jo9","i8ToyICDmI","xUOZtlo3hN","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DpFCA1CohY","IWmyXbctLI"],"result":"⫖↰⪸-514","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2849","layer":4},{"info":"compute unary expreesion, input=2849, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3023","layer":3},{"info":"compute unary expreesion, input=-3023, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=nan","layer":1},{"info":"number node, value=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2227","layer":3},{"info":"number node, value=2667","layer":4},{"info":"number node, value=3244","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=3244, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2227, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"number node, value=4064","layer":4},{"info":"number node, value=6345","layer":4},{"info":"compute binary expreesion, left_input=4064, right_input=6345, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1442","layer":4},{"info":"number node, value=2481","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=2481, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10872","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10872, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-313, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-626","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-626, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-736","layer":0}],"base":12,"result_base":12,"text":"((⇋⊎⋝(⊲⪭⫖↰⪸1795))∀⋜↑)⫉⨲⊜((⩏⊷≩⫖↰⪸894)≧⫂∧⫖↰⪸1663∺≝⩲⫖↰⪸1A64)↢((⫖↰⪸2428⋓⫖↰⪸3809)∣⫖↰⪸A02⩁⩘⫖↰⪸1529)=⫖↰⪸-514","reverse_text":"⫖↰⪸-514=((⇋⊎⋝(⊲⪭⫖↰⪸1795))∀⋜↑)⫉⨲⊜((⩏⊷≩⫖↰⪸894)≧⫂∧⫖↰⪸1663∺≝⩲⫖↰⪸1A64)↢((⫖↰⪸2428⋓⫖↰⪸3809)∣⫖↰⪸A02⩁⩘⫖↰⪸1529)","cot":[{"info":"⊲⪭⫖↰⪸1795=⫖↰⪸-18BB","layer":3},{"info":"⇋⊎⋝⫖↰⪸-18BB=NaN","layer":2},{"info":"NaN∀⋜↑=NaN","layer":1},{"info":"⩏⊷≩⫖↰⪸894=⫖↰⪸1357","layer":3},{"info":"⫖↰⪸1663∺≝⩲⫖↰⪸1A64=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1357≧⫂∧⫖↰⪸114=⫖↰⪸-221","layer":2},{"info":"⫖↰⪸2428⋓⫖↰⪸3809=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A02⩁⩘⫖↰⪸1529=⫖↰⪸6360","layer":3},{"info":"⫖↰⪸0∣⫖↰⪸6360=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-221↢⫖↰⪸0=⫖↰⪸-442","layer":1},{"info":"NaN⫉⨲⊜⫖↰⪸-442=⫖↰⪸-514","layer":0}]}
{"id":290,"expression_no_base_symbol":"($3404$⊬⨰$3271$⨭⪣$1474$⊴$4461$)⪔⊥(($4713$⇌⫙⪟$2853$)⊬⨰$1063$⨂≜$2447$)∖($4886$⪘⫢$2849$)⪝($1874$+⇶⊼$4847$)↹⊜($4458$≳⇉$4825$)⊕∕($5559$⨀⨒)","expression":"(⫖↰⪸1B78⊬⨰⫖↰⪸1A87⨭⪣⫖↰⪸A2A⊴⫖↰⪸26B9)⪔⊥((⫖↰⪸2889⇌⫙⪟⫖↰⪸1799)⊬⨰⫖↰⪸747⨂≜⫖↰⪸14BB)∖(⫖↰⪸29B2⪘⫢⫖↰⪸1795)⪝(⫖↰⪸1102+⇶⊼⫖↰⪸297B)↹⊜(⫖↰⪸26B6≳⇉⫖↰⪸2961)⊕∕(⫖↰⪸3273⨀⨒)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":282942476,"operation_count":15,"complexity_ratio":18862831.733333334,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3404,"base":12},"right_expr":{"type":"numeric_atoms","value":3271,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1474,"base":12},"right_expr":{"type":"numeric_atoms","value":4461,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4713,"base":12},"right_expr":{"type":"numeric_atoms","value":2853,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":2447,"base":12}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4886,"base":12},"right_expr":{"type":"numeric_atoms","value":2849,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1874,"base":12},"right_expr":{"type":"numeric_atoms","value":4847,"base":12}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4458,"base":12},"right_expr":{"type":"numeric_atoms","value":4825,"base":12}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":5559,"base":12}}}}},"used_operators":["tXD093vOjl","HJ9erzHUuu","kn8WO9XteQ","s3Fd5m9Dh2","Nsiff2A1zJ","AFVx7xoS7T","k1SHOSEABc","9bazX3JMtO","wicAB68Tmb","oacrs7FA3X","TpPTUOHfaN","9cloC0Ngie","V0kx6qeWkN","j6NVkjMzuk"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9","14qkJME0vr","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3404","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=3271, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15432","layer":3},{"info":"number node, value=1474","layer":4},{"info":"number node, value=4461","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=4461, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15432, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"number node, value=4713","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=4713, right_input=2853, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2447, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=4886","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=4886, right_input=2849, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9648","layer":3},{"info":"number node, value=1874","layer":4},{"info":"number node, value=4847","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=4847, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9648, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=4458","layer":4},{"info":"number node, value=4825","layer":4},{"info":"compute binary expreesion, left_input=4458, right_input=4825, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=5559","layer":4},{"info":"compute unary expreesion, input=5559, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=74558","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=74558, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1B78⊬⨰⫖↰⪸1A87⨭⪣⫖↰⪸A2A⊴⫖↰⪸26B9)⪔⊥((⫖↰⪸2889⇌⫙⪟⫖↰⪸1799)⊬⨰⫖↰⪸747⨂≜⫖↰⪸14BB)∖(⫖↰⪸29B2⪘⫢⫖↰⪸1795)⪝(⫖↰⪸1102+⇶⊼⫖↰⪸297B)↹⊜(⫖↰⪸26B6≳⇉⫖↰⪸2961)⊕∕(⫖↰⪸3273⨀⨒)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1B78⊬⨰⫖↰⪸1A87⨭⪣⫖↰⪸A2A⊴⫖↰⪸26B9)⪔⊥((⫖↰⪸2889⇌⫙⪟⫖↰⪸1799)⊬⨰⫖↰⪸747⨂≜⫖↰⪸14BB)∖(⫖↰⪸29B2⪘⫢⫖↰⪸1795)⪝(⫖↰⪸1102+⇶⊼⫖↰⪸297B)↹⊜(⫖↰⪸26B6≳⇉⫖↰⪸2961)⊕∕(⫖↰⪸3273⨀⨒)","cot":[{"info":"⫖↰⪸1B78⊬⨰⫖↰⪸1A87=⫖↰⪸8B20","layer":3},{"info":"⫖↰⪸A2A⊴⫖↰⪸26B9=NaN","layer":3},{"info":"⫖↰⪸8B20⨭⪣NaN=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸2889⇌⫙⪟⫖↰⪸1799=⫖↰⪸95","layer":3},{"info":"⫖↰⪸747⨂≜⫖↰⪸14BB=NaN","layer":3},{"info":"⫖↰⪸95⊬⨰NaN=NaN","layer":2},{"info":"⫖↰⪸-19⪔⊥NaN=NaN","layer":1},{"info":"⫖↰⪸29B2⪘⫢⫖↰⪸1795=⫖↰⪸5700","layer":3},{"info":"⫖↰⪸1102+⇶⊼⫖↰⪸297B=NaN","layer":3},{"info":"⫖↰⪸5700⪝NaN=NaN","layer":2},{"info":"⫖↰⪸26B6≳⇉⫖↰⪸2961=NaN","layer":3},{"info":"⫖↰⪸3273⨀⨒=⫖↰⪸37192","layer":3},{"info":"NaN⊕∕⫖↰⪸37192=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"NaN∖NaN=⫖↰⪸0","layer":0}]}
{"id":291,"expression_no_base_symbol":"($2517$⨻⩈⩔$1603$)⇷(∮$5048$)⊭↱(⩏⊷≩$2175$)⪚($1106$⋛$3663$)∷(⪡⇡≛($2012$⪄$2068$))≧⫂∧($2519$⊋≦⊧$4309$)⊬⨰$9562$⫣⪄⊒$1086$","expression":"(⫖↰⪸1559⨻⩈⩔⫖↰⪸B17)⇷(∮⫖↰⪸2B08)⊭↱(⩏⊷≩⫖↰⪸1313)⪚(⫖↰⪸782⋛⫖↰⪸2153)∷(⪡⇡≛(⫖↰⪸11B8⪄⫖↰⪸1244))≧⫂∧(⫖↰⪸155B⊋≦⊧⫖↰⪸25B1)⊬⨰⫖↰⪸564A⫣⪄⊒⫖↰⪸766","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":165217,"operation_count":14,"complexity_ratio":11801.214285714286,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2517,"base":12},"right_expr":{"type":"numeric_atoms","value":1603,"base":12}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":5048,"base":12}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2175,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1106,"base":12},"right_expr":{"type":"numeric_atoms","value":3663,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2012,"base":12},"right_expr":{"type":"numeric_atoms","value":2068,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2519,"base":12},"right_expr":{"type":"numeric_atoms","value":4309,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":9562,"base":12},"right_expr":{"type":"numeric_atoms","value":1086,"base":12}}}}},"used_operators":["D3AQDKkPcf","COABgblf1C","mp7IySMOzn","nEsXyWgiOK","CqXKPLVYql","HrjLwUk87U","uOZ1tnYMDE","YbUVn0Rbpy","Ph9nP6C5qx","qL4PrbW1Dq","SUmda5xLS4","s3Fd5m9Dh2","oRDoc9rAEX","RabNbG55vr"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","23Mk6UjR3U","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫖↰⪸-204287","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2517","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1603, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=11735","layer":3},{"info":"number node, value=5048","layer":4},{"info":"compute unary expreesion, input=5048, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=11735, right_input=67, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=134","layer":2},{"info":"number node, value=2175","layer":4},{"info":"compute unary expreesion, input=2175, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4049","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=3663, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-122238","layer":3},{"info":"compute binary expreesion, left_input=4049, right_input=-122238, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=252218","layer":2},{"info":"compute binary expreesion, left_input=134, right_input=252218, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=504173","layer":1},{"info":"number node, value=2012","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=2068, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-302137","layer":3},{"info":"compute unary expreesion, input=-302137, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-302137","layer":2},{"info":"number node, value=2519","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=4309, 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=-6588","layer":3},{"info":"number node, value=9562","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=9562, right_input=1086, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-2592","layer":3},{"info":"compute binary expreesion, left_input=-6588, right_input=-2592, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-23544","layer":2},{"info":"compute binary expreesion, left_input=-302137, right_input=-23544, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-278593","layer":1},{"info":"compute binary expreesion, left_input=504173, right_input=-278593, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-504967","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1559⨻⩈⩔⫖↰⪸B17)⇷(∮⫖↰⪸2B08)⊭↱(⩏⊷≩⫖↰⪸1313)⪚(⫖↰⪸782⋛⫖↰⪸2153)∷(⪡⇡≛(⫖↰⪸11B8⪄⫖↰⪸1244))≧⫂∧(⫖↰⪸155B⊋≦⊧⫖↰⪸25B1)⊬⨰⫖↰⪸564A⫣⪄⊒⫖↰⪸766=⫖↰⪸-204287","reverse_text":"⫖↰⪸-204287=(⫖↰⪸1559⨻⩈⩔⫖↰⪸B17)⇷(∮⫖↰⪸2B08)⊭↱(⩏⊷≩⫖↰⪸1313)⪚(⫖↰⪸782⋛⫖↰⪸2153)∷(⪡⇡≛(⫖↰⪸11B8⪄⫖↰⪸1244))≧⫂∧(⫖↰⪸155B⊋≦⊧⫖↰⪸25B1)⊬⨰⫖↰⪸564A⫣⪄⊒⫖↰⪸766","cot":[{"info":"⫖↰⪸1559⨻⩈⩔⫖↰⪸B17=⫖↰⪸695B","layer":3},{"info":"∮⫖↰⪸2B08=⫖↰⪸57","layer":3},{"info":"⫖↰⪸695B⇷⫖↰⪸57=⫖↰⪸B2","layer":2},{"info":"⩏⊷≩⫖↰⪸1313=⫖↰⪸2415","layer":3},{"info":"⫖↰⪸782⋛⫖↰⪸2153=⫖↰⪸-5A8A6","layer":3},{"info":"⫖↰⪸2415⪚⫖↰⪸-5A8A6=⫖↰⪸101B62","layer":2},{"info":"⫖↰⪸B2⊭↱⫖↰⪸101B62=⫖↰⪸203925","layer":1},{"info":"⫖↰⪸11B8⪄⫖↰⪸1244=⫖↰⪸-126A21","layer":3},{"info":"⪡⇡≛⫖↰⪸-126A21=⫖↰⪸-126A21","layer":2},{"info":"⫖↰⪸155B⊋≦⊧⫖↰⪸25B1=⫖↰⪸-3990","layer":3},{"info":"⫖↰⪸564A⫣⪄⊒⫖↰⪸766=⫖↰⪸-1600","layer":3},{"info":"⫖↰⪸-3990⊬⨰⫖↰⪸-1600=⫖↰⪸-11760","layer":2},{"info":"⫖↰⪸-126A21≧⫂∧⫖↰⪸-11760=⫖↰⪸-115281","layer":1},{"info":"⫖↰⪸203925∷⫖↰⪸-115281=⫖↰⪸-204287","layer":0}]}
{"id":292,"expression_no_base_symbol":"(⨦⪝(($7550$≃$1265$)≁($3721$↳∿⪆$1716$)))⇮⋭($1067$∸)⊋(⪁⇼$5439$)⋣⋖(≇⪴($5271$↫))","expression":"(⨦⪝((⫖↰⪸4452≃⫖↰⪸895)≁(⫖↰⪸21A1↳∿⪆⫖↰⪸BB0)))⇮⋭(⫖↰⪸74B∸)⊋(⪁⇼⫖↰⪸3193)⋣⋖(≇⪴(⫖↰⪸3073↫))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2830,"operation_count":11,"complexity_ratio":257.27272727272725,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":7550,"base":12},"right_expr":{"type":"numeric_atoms","value":1265,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3721,"base":12},"right_expr":{"type":"numeric_atoms","value":1716,"base":12}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1067,"base":12}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":5439,"base":12}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":5271,"base":12}}}}},"used_operators":["vkpjKywKVM","SUjycxNXIR","8N2wDY1A35","YbVcJGFEVW","Cw4SuJJGHO","J0M6qkBnIM","W4tP9CfskL","o20kRiQErp","ZNVVrZ94lY","zoVPnxeHJ3","uPb5QRN0te"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tmPS8pqC7x","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"⫖↰⪸-335","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7550","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=7550, right_input=1265, 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=-30240","layer":3},{"info":"number node, value=3721","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=1716, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-30240, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=5439","layer":4},{"info":"compute unary expreesion, input=5439, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=422, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=0","layer":2},{"info":"number node, value=5271","layer":4},{"info":"compute unary expreesion, input=5271, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=640","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=640, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":0}],"base":12,"result_base":12,"text":"(⨦⪝((⫖↰⪸4452≃⫖↰⪸895)≁(⫖↰⪸21A1↳∿⪆⫖↰⪸BB0)))⇮⋭(⫖↰⪸74B∸)⊋(⪁⇼⫖↰⪸3193)⋣⋖(≇⪴(⫖↰⪸3073↫))=⫖↰⪸-335","reverse_text":"⫖↰⪸-335=(⨦⪝((⫖↰⪸4452≃⫖↰⪸895)≁(⫖↰⪸21A1↳∿⪆⫖↰⪸BB0)))⇮⋭(⫖↰⪸74B∸)⊋(⪁⇼⫖↰⪸3193)⋣⋖(≇⪴(⫖↰⪸3073↫))","cot":[{"info":"⫖↰⪸4452≃⫖↰⪸895=⫖↰⪸-15600","layer":3},{"info":"⫖↰⪸21A1↳∿⪆⫖↰⪸BB0=NaN","layer":3},{"info":"⫖↰⪸-15600≁NaN=NaN","layer":2},{"info":"⨦⪝NaN=⫖↰⪸-1110","layer":1},{"info":"⫖↰⪸74B∸=⫖↰⪸129","layer":3},{"info":"⪁⇼⫖↰⪸3193=⫖↰⪸2B2","layer":3},{"info":"⫖↰⪸129⊋⫖↰⪸2B2=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3073↫=⫖↰⪸114","layer":3},{"info":"≇⪴⫖↰⪸114=⫖↰⪸454","layer":2},{"info":"⫖↰⪸0⋣⋖⫖↰⪸454=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-1110⇮⋭⫖↰⪸0=⫖↰⪸-335","layer":0}]}
{"id":293,"expression_no_base_symbol":"(⫡⇟⇯(⊖∈$1818$))⋾⨃∁$1604$⪥$1744$∇⊂⋱($1365$⪶≀⋏$1599$)⩨($4742$⨸$6861$)⊕∕(⪡⇡≛$2465$)⩖⊿($6743$⊹∫⫚$3911$∙⊟(↣≠⋷$1788$))","expression":"(⫡⇟⇯(⊖∈⫖↰⪸1076))⋾⨃∁⫖↰⪸B18⪥⫖↰⪸1014∇⊂⋱(⫖↰⪸959⪶≀⋏⫖↰⪸B13)⩨(⫖↰⪸28B2⨸⫖↰⪸3B79)⊕∕(⪡⇡≛⫖↰⪸1515)⩖⊿(⫖↰⪸3A9B⊹∫⫚⫖↰⪸231B∙⊟(↣≠⋷⫖↰⪸1050))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26952,"operation_count":14,"complexity_ratio":1925.142857142857,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1818,"base":12}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1604,"base":12},"right_expr":{"type":"numeric_atoms","value":1744,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1365,"base":12},"right_expr":{"type":"numeric_atoms","value":1599,"base":12}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4742,"base":12},"right_expr":{"type":"numeric_atoms","value":6861,"base":12}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":2465,"base":12}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6743,"base":12},"right_expr":{"type":"numeric_atoms","value":3911,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1788,"base":12}}}}},"used_operators":["2DlMacCsIx","212REbPD9h","qWUSsah53b","YFxL8Sc2Zy","nhYeJWJD5X","QbnwKVWMIQ","zR4jO40bMj","RZ5CV9rWsJ","9cloC0Ngie","KmoU8R5UQR","qL4PrbW1Dq","SxTAKzQCrw","uWAJUKEvyW","Asc51vEJeQ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","P8v4zCKN1o","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XhwjNDsVaA","AHs5Up7iyr"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1818","layer":4},{"info":"compute unary expreesion, input=1818, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=30766","layer":3},{"info":"compute unary expreesion, input=30766, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=62400","layer":2},{"info":"number node, value=1604","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=1744, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11068","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1599, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7525","layer":3},{"info":"compute binary expreesion, left_input=11068, right_input=-7525, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=21590","layer":2},{"info":"compute binary expreesion, left_input=62400, right_input=21590, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":1},{"info":"number node, value=4742","layer":4},{"info":"number node, value=6861","layer":4},{"info":"compute binary expreesion, left_input=4742, right_input=6861, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9484","layer":3},{"info":"number node, value=2465","layer":4},{"info":"compute unary expreesion, input=2465, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2465","layer":3},{"info":"compute binary expreesion, left_input=9484, right_input=-2465, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=9484","layer":2},{"info":"number node, value=6743","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=6743, right_input=3911, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-196","layer":3},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-196, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=18684","layer":2},{"info":"compute binary expreesion, left_input=9484, right_input=18684, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=111454","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=111454, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫡⇟⇯(⊖∈⫖↰⪸1076))⋾⨃∁⫖↰⪸B18⪥⫖↰⪸1014∇⊂⋱(⫖↰⪸959⪶≀⋏⫖↰⪸B13)⩨(⫖↰⪸28B2⨸⫖↰⪸3B79)⊕∕(⪡⇡≛⫖↰⪸1515)⩖⊿(⫖↰⪸3A9B⊹∫⫚⫖↰⪸231B∙⊟(↣≠⋷⫖↰⪸1050))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫡⇟⇯(⊖∈⫖↰⪸1076))⋾⨃∁⫖↰⪸B18⪥⫖↰⪸1014∇⊂⋱(⫖↰⪸959⪶≀⋏⫖↰⪸B13)⩨(⫖↰⪸28B2⨸⫖↰⪸3B79)⊕∕(⪡⇡≛⫖↰⪸1515)⩖⊿(⫖↰⪸3A9B⊹∫⫚⫖↰⪸231B∙⊟(↣≠⋷⫖↰⪸1050))","cot":[{"info":"⊖∈⫖↰⪸1076=⫖↰⪸1597A","layer":3},{"info":"⫡⇟⇯⫖↰⪸1597A=⫖↰⪸30140","layer":2},{"info":"⫖↰⪸B18⪥⫖↰⪸1014=⫖↰⪸64A4","layer":3},{"info":"⫖↰⪸959⪶≀⋏⫖↰⪸B13=⫖↰⪸-4431","layer":3},{"info":"⫖↰⪸64A4∇⊂⋱⫖↰⪸-4431=⫖↰⪸105B2","layer":2},{"info":"⫖↰⪸30140⋾⨃∁⫖↰⪸105B2=Inf","layer":1},{"info":"⫖↰⪸28B2⨸⫖↰⪸3B79=⫖↰⪸55A4","layer":3},{"info":"⪡⇡≛⫖↰⪸1515=⫖↰⪸-1515","layer":3},{"info":"⫖↰⪸55A4⊕∕⫖↰⪸-1515=⫖↰⪸55A4","layer":2},{"info":"⫖↰⪸3A9B⊹∫⫚⫖↰⪸231B=⫖↰⪸-144","layer":3},{"info":"↣≠⋷⫖↰⪸1050=NaN","layer":3},{"info":"⫖↰⪸-144∙⊟NaN=⫖↰⪸A990","layer":2},{"info":"⫖↰⪸55A4⩖⊿⫖↰⪸A990=⫖↰⪸545BA","layer":1},{"info":"Inf⩨⫖↰⪸545BA=⫖↰⪸0","layer":0}]}
{"id":294,"expression_no_base_symbol":"⇾⩊⇾($1637$⇍⊗$8717$⨫⇇↔$1963$∴$2313$⇄($1206$≎⊠⪸$1062$)⪥(∂⩏⊆$2606$))","expression":"⇾⩊⇾(⫖↰⪸B45⇍⊗⫖↰⪸5065⨫⇇↔⫖↰⪸1177∴⫖↰⪸1409⇄(⫖↰⪸846≎⊠⪸⫖↰⪸746)⪥(∂⩏⊆⫖↰⪸1612))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":374,"operation_count":8,"complexity_ratio":46.75,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1637,"base":12},"right_expr":{"type":"numeric_atoms","value":8717,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1963,"base":12},"right_expr":{"type":"numeric_atoms","value":2313,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1206,"base":12},"right_expr":{"type":"numeric_atoms","value":1062,"base":12}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2606,"base":12}}}}},"used_operators":["bx9Z9DAK5y","3EYGwJThht","LXhwmt4mBO","5uvYHDjeKN","hrf7POJlIJ","QbnwKVWMIQ","bJkvcejdHO","8WDwsbhb0R"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","14qkJME0vr","eLAdDNolq6"],"result":"⫖↰⪸-6A66","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1637","layer":4},{"info":"number node, value=8717","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=8717, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1963","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=2313, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5574","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=5574, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1206","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1062, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=311881","layer":3},{"info":"number node, value=2606","layer":4},{"info":"compute unary expreesion, input=2606, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-7897","layer":3},{"info":"compute binary expreesion, left_input=311881, right_input=-7897, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-116, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=600","layer":1},{"info":"compute unary expreesion, input=600, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-11886","layer":0}],"base":12,"result_base":12,"text":"⇾⩊⇾(⫖↰⪸B45⇍⊗⫖↰⪸5065⨫⇇↔⫖↰⪸1177∴⫖↰⪸1409⇄(⫖↰⪸846≎⊠⪸⫖↰⪸746)⪥(∂⩏⊆⫖↰⪸1612))=⫖↰⪸-6A66","reverse_text":"⫖↰⪸-6A66=⇾⩊⇾(⫖↰⪸B45⇍⊗⫖↰⪸5065⨫⇇↔⫖↰⪸1177∴⫖↰⪸1409⇄(⫖↰⪸846≎⊠⪸⫖↰⪸746)⪥(∂⩏⊆⫖↰⪸1612))","cot":[{"info":"⫖↰⪸B45⇍⊗⫖↰⪸5065=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸1177∴⫖↰⪸1409=⫖↰⪸3286","layer":3},{"info":"⫖↰⪸-184⨫⇇↔⫖↰⪸3286=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸846≎⊠⪸⫖↰⪸746=⫖↰⪸1305A1","layer":3},{"info":"∂⩏⊆⫖↰⪸1612=⫖↰⪸-46A1","layer":3},{"info":"⫖↰⪸1305A1⪥⫖↰⪸-46A1=⫖↰⪸-98","layer":2},{"info":"⫖↰⪸-37B⇄⫖↰⪸-98=⫖↰⪸420","layer":1},{"info":"⇾⩊⇾⫖↰⪸420=⫖↰⪸-6A66","layer":0}]}
{"id":295,"expression_no_base_symbol":"(((⇾⩊⇾$2082$)∕⩚$1243$⫥∨⫟$4171$)⊭↱$3674$⩒⫫$3675$⋅⇍($1256$↸$3269$))⨽∌((↨⩢⫨($5420$≓∲$1917$))⩚⊴⇥(⋗⩬⋾$1823$⨜⨶$2210$))","expression":"(((⇾⩊⇾⫖↰⪸1256)∕⩚⫖↰⪸877⫥∨⫟⫖↰⪸24B7)⊭↱⫖↰⪸2162⩒⫫⫖↰⪸2163⋅⇍(⫖↰⪸888↸⫖↰⪸1A85))⨽∌((↨⩢⫨(⫖↰⪸3178≓∲⫖↰⪸1139))⩚⊴⇥(⋗⩬⋾⫖↰⪸107B⨜⨶⫖↰⪸1342))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1789,"operation_count":13,"complexity_ratio":137.6153846153846,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2082,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1243,"base":12},"right_expr":{"type":"numeric_atoms","value":4171,"base":12}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3674,"base":12},"right_expr":{"type":"numeric_atoms","value":3675,"base":12}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1256,"base":12},"right_expr":{"type":"numeric_atoms","value":3269,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5420,"base":12},"right_expr":{"type":"numeric_atoms","value":1917,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1823,"base":12},"right_expr":{"type":"numeric_atoms","value":2210,"base":12}}}}},"used_operators":["9samAPKr6k","COABgblf1C","z9ffQ9n5Zr","bx9Z9DAK5y","KYD54nUTWz","AdZkA7nFnk","KFSx94NKJn","1eCjFl0mb9","NTOWxs364D","Z5CJsN7DuW","s1XTVnmDOJ","DpFCA1CohY","HiPekx5b7W"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2082","layer":4},{"info":"compute unary expreesion, input=2082, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-25224","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=4171","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=4171, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-25224, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=3674","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=3674, right_input=3675, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3372","layer":3},{"info":"number node, value=1256","layer":4},{"info":"number node, value=3269","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=3269, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1256","layer":3},{"info":"compute binary expreesion, left_input=3372, right_input=1256, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=-22, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=935","layer":1},{"info":"number node, value=5420","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=5420, right_input=1917, 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=54983","layer":3},{"info":"compute unary expreesion, input=54983, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=1823","layer":4},{"info":"number node, value=2210","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=2210, 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=-4164","layer":3},{"info":"compute unary expreesion, input=-4164, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=12492","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12492, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12613","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=-12613, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(((⇾⩊⇾⫖↰⪸1256)∕⩚⫖↰⪸877⫥∨⫟⫖↰⪸24B7)⊭↱⫖↰⪸2162⩒⫫⫖↰⪸2163⋅⇍(⫖↰⪸888↸⫖↰⪸1A85))⨽∌((↨⩢⫨(⫖↰⪸3178≓∲⫖↰⪸1139))⩚⊴⇥(⋗⩬⋾⫖↰⪸107B⨜⨶⫖↰⪸1342))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(((⇾⩊⇾⫖↰⪸1256)∕⩚⫖↰⪸877⫥∨⫟⫖↰⪸24B7)⊭↱⫖↰⪸2162⩒⫫⫖↰⪸2163⋅⇍(⫖↰⪸888↸⫖↰⪸1A85))⨽∌((↨⩢⫨(⫖↰⪸3178≓∲⫖↰⪸1139))⩚⊴⇥(⋗⩬⋾⫖↰⪸107B⨜⨶⫖↰⪸1342))","cot":[{"info":"⇾⩊⇾⫖↰⪸1256=⫖↰⪸-12720","layer":3},{"info":"⫖↰⪸877⫥∨⫟⫖↰⪸24B7=NaN","layer":3},{"info":"⫖↰⪸-12720∕⩚NaN=⫖↰⪸-347","layer":2},{"info":"⫖↰⪸2162⩒⫫⫖↰⪸2163=⫖↰⪸1B50","layer":3},{"info":"⫖↰⪸888↸⫖↰⪸1A85=⫖↰⪸888","layer":3},{"info":"⫖↰⪸1B50⋅⇍⫖↰⪸888=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸-347⊭↱⫖↰⪸-1A=⫖↰⪸65B","layer":1},{"info":"⫖↰⪸3178≓∲⫖↰⪸1139=⫖↰⪸2799B","layer":3},{"info":"↨⩢⫨⫖↰⪸2799B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸107B⨜⨶⫖↰⪸1342=⫖↰⪸-24B0","layer":3},{"info":"⋗⩬⋾⫖↰⪸-24B0=⫖↰⪸7290","layer":2},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸7290=⫖↰⪸-7371","layer":1},{"info":"⫖↰⪸65B⨽∌⫖↰⪸-7371=⫖↰⪸0","layer":0}]}
{"id":296,"expression_no_base_symbol":"⇋↷(($3251$⊉↱≁$2793$⩒⫫$5559$⨫⇇↔$5897$)∩⋅)","expression":"⇋↷((⫖↰⪸1A6B⊉↱≁⫖↰⪸1749⩒⫫⫖↰⪸3273⨫⇇↔⫖↰⪸34B5)∩⋅)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":76,"operation_count":5,"complexity_ratio":15.2,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3251,"base":12},"right_expr":{"type":"numeric_atoms","value":2793,"base":12}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5559,"base":12},"right_expr":{"type":"numeric_atoms","value":5897,"base":12}}}}},"used_operators":["SWo3A1KBJH","2MzE1hQ0cz","KFSx94NKJn","w2P8NbNXyL","LXhwmt4mBO"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","Qy55tPpLXF","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⫖↰⪸-2ABB0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3251","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=2793, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=15700","layer":3},{"info":"number node, value=5559","layer":4},{"info":"number node, value=5897","layer":4},{"info":"compute binary expreesion, left_input=5559, right_input=5897, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=15700, right_input=-527, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=15398","layer":2},{"info":"compute unary expreesion, input=15398, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-15277","layer":1},{"info":"compute unary expreesion, input=-15277, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-60468","layer":0}],"base":12,"result_base":12,"text":"⇋↷((⫖↰⪸1A6B⊉↱≁⫖↰⪸1749⩒⫫⫖↰⪸3273⨫⇇↔⫖↰⪸34B5)∩⋅)=⫖↰⪸-2ABB0","reverse_text":"⫖↰⪸-2ABB0=⇋↷((⫖↰⪸1A6B⊉↱≁⫖↰⪸1749⩒⫫⫖↰⪸3273⨫⇇↔⫖↰⪸34B5)∩⋅)","cot":[{"info":"⫖↰⪸1A6B⊉↱≁⫖↰⪸1749=⫖↰⪸9104","layer":3},{"info":"⫖↰⪸3273⨫⇇↔⫖↰⪸34B5=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸9104⩒⫫⫖↰⪸-37B=⫖↰⪸8AB2","layer":2},{"info":"⫖↰⪸8AB2∩⋅=⫖↰⪸-8A11","layer":1},{"info":"⇋↷⫖↰⪸-8A11=⫖↰⪸-2ABB0","layer":0}]}
{"id":297,"expression_no_base_symbol":"(≤/($7644$↡⊰⫅$1740$)∀⇚≩($1344$⨐⩸⫘$6253$))⩦(($2043$⩤)⪶≀⋏(⊆⋠$2530$))⇡⇂(($1058$⋅⇍$8159$)⨲)","expression":"(≤/(⫖↰⪸4510↡⊰⫅⫖↰⪸1010)∀⇚≩(⫖↰⪸940⨐⩸⫘⫖↰⪸3751))⩦((⫖↰⪸1223⩤)⪶≀⋏(⊆⋠⫖↰⪸156A))⇡⇂((⫖↰⪸742⋅⇍⫖↰⪸487B)⨲)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9420927,"operation_count":11,"complexity_ratio":856447.9090909091,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":7644,"base":12},"right_expr":{"type":"numeric_atoms","value":1740,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1344,"base":12},"right_expr":{"type":"numeric_atoms","value":6253,"base":12}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2043,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2530,"base":12}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":8159,"base":12}}}}},"used_operators":["0kmYd0q39Y","eLAdDNolq6","LRNGc0VcxI","VCtxkLNOzz","fu6greOZ01","UMwdvZNt44","zR4jO40bMj","Z2TMIBDE3Q","EBhcHTkKd8","nLYMGWM7L8","AdZkA7nFnk"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","X99M06cbEe","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","3ViojmjbAp","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7644","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=7644, right_input=1740, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3480","layer":3},{"info":"number node, value=1344","layer":4},{"info":"number node, value=6253","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=6253, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3480, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=2043","layer":4},{"info":"compute unary expreesion, input=2043, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2043","layer":3},{"info":"number node, value=2530","layer":4},{"info":"compute unary expreesion, input=2530, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2043, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=0","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=8159","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=8159, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4683709, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=219356","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=219356, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≤/(⫖↰⪸4510↡⊰⫅⫖↰⪸1010)∀⇚≩(⫖↰⪸940⨐⩸⫘⫖↰⪸3751))⩦((⫖↰⪸1223⩤)⪶≀⋏(⊆⋠⫖↰⪸156A))⇡⇂((⫖↰⪸742⋅⇍⫖↰⪸487B)⨲)=NaN","reverse_text":"NaN=(≤/(⫖↰⪸4510↡⊰⫅⫖↰⪸1010)∀⇚≩(⫖↰⪸940⨐⩸⫘⫖↰⪸3751))⩦((⫖↰⪸1223⩤)⪶≀⋏(⊆⋠⫖↰⪸156A))⇡⇂((⫖↰⪸742⋅⇍⫖↰⪸487B)⨲)","cot":[{"info":"⫖↰⪸4510↡⊰⫅⫖↰⪸1010=⫖↰⪸2020","layer":3},{"info":"⫖↰⪸940⨐⩸⫘⫖↰⪸3751=NaN","layer":3},{"info":"⫖↰⪸2020∀⇚≩NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⫖↰⪸1223⩤=⫖↰⪸-1223","layer":3},{"info":"⊆⋠⫖↰⪸156A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1223⪶≀⋏⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸742⋅⇍⫖↰⪸487B=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸-1A⨲=⫖↰⪸169A591","layer":2},{"info":"⫖↰⪸0⇡⇂⫖↰⪸169A591=⫖↰⪸A6B38","layer":1},{"info":"NaN⩦⫖↰⪸A6B38=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"(⫟($1570$⋥⋵⩄$1446$⊦⊿))∪⫐($1415$∺≝⩲$4306$⊨(⨂⪏⇭$2257$))⨽∌($1816$⨽$1162$⪁$1847$⨻⩈⩔$7847$)","expression":"(⫟(⫖↰⪸AAA⋥⋵⩄⫖↰⪸A06⊦⊿))∪⫐(⫖↰⪸99B∺≝⩲⫖↰⪸25AA⊨(⨂⪏⇭⫖↰⪸1381))⨽∌(⫖↰⪸1074⨽⫖↰⪸80A⪁⫖↰⪸109B⨻⩈⩔⫖↰⪸465B)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8497,"operation_count":11,"complexity_ratio":772.4545454545455,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1570,"base":12},"right_expr":{"type":"numeric_atoms","value":1446,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1415,"base":12},"right_expr":{"type":"numeric_atoms","value":4306,"base":12}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2257,"base":12}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1816,"base":12},"right_expr":{"type":"numeric_atoms","value":1162,"base":12}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1847,"base":12},"right_expr":{"type":"numeric_atoms","value":7847,"base":12}}}}},"used_operators":["7YooWSwCyH","z4E1FaHLuy","14qkJME0vr","7t3wd0Fuz7","9samAPKr6k","vg4gO5BX6G","KPf6cnQVty","AYdpE9sXAk","I7sXao9hZE","8HhzD0ZcuI","nEsXyWgiOK"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⫖↰⪸B54","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1570","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1446, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-418","layer":2},{"info":"compute unary expreesion, input=-418, 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=1648","layer":1},{"info":"number node, value=1415","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=4306, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2257","layer":4},{"info":"compute unary expreesion, input=2257, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5792","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5792, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=1816","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1162, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9895740","layer":3},{"info":"number node, value=1847","layer":4},{"info":"number node, value=7847","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=7847, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=6375","layer":3},{"info":"compute binary expreesion, left_input=-9895740, right_input=6375, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1648, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1648","layer":0}],"base":12,"result_base":12,"text":"(⫟(⫖↰⪸AAA⋥⋵⩄⫖↰⪸A06⊦⊿))∪⫐(⫖↰⪸99B∺≝⩲⫖↰⪸25AA⊨(⨂⪏⇭⫖↰⪸1381))⨽∌(⫖↰⪸1074⨽⫖↰⪸80A⪁⫖↰⪸109B⨻⩈⩔⫖↰⪸465B)=⫖↰⪸B54","reverse_text":"⫖↰⪸B54=(⫟(⫖↰⪸AAA⋥⋵⩄⫖↰⪸A06⊦⊿))∪⫐(⫖↰⪸99B∺≝⩲⫖↰⪸25AA⊨(⨂⪏⇭⫖↰⪸1381))⨽∌(⫖↰⪸1074⨽⫖↰⪸80A⪁⫖↰⪸109B⨻⩈⩔⫖↰⪸465B)","cot":[{"info":"⫖↰⪸AAA⋥⋵⩄⫖↰⪸A06=⫖↰⪸95","layer":3},{"info":"⫖↰⪸95⊦⊿=⫖↰⪸-2AA","layer":2},{"info":"⫟⫖↰⪸-2AA=⫖↰⪸B54","layer":1},{"info":"⫖↰⪸99B∺≝⩲⫖↰⪸25AA=⫖↰⪸114","layer":3},{"info":"⨂⪏⇭⫖↰⪸1381=⫖↰⪸3428","layer":3},{"info":"⫖↰⪸114⊨⫖↰⪸3428=⫖↰⪸-126","layer":2},{"info":"⫖↰⪸1074⨽⫖↰⪸80A=⫖↰⪸-3392850","layer":3},{"info":"⫖↰⪸109B⨻⩈⩔⫖↰⪸465B=⫖↰⪸3833","layer":3},{"info":"⫖↰⪸-3392850⪁⫖↰⪸3833=NaN","layer":2},{"info":"⫖↰⪸-126⨽∌NaN=NaN","layer":1},{"info":"⫖↰⪸B54∪⫐NaN=⫖↰⪸B54","layer":0}]}
{"id":299,"expression_no_base_symbol":"($1103$⇻⋧≁$1319$+⪬∐(⊽$1783$))⨿(↡$2676$∺≝⩲$1034$)⋥⋵⩄($4583$≁↽≥$5370$⪚$1144$∓⋝$3161$+($5228$⋥≓≎$4065$)⪚$1949$⇻⋧≁$5526$)","expression":"(⫖↰⪸77B⇻⋧≁⫖↰⪸91B+⪬∐(⊽⫖↰⪸1047))⨿(↡⫖↰⪸1670∺≝⩲⫖↰⪸722)⋥⋵⩄(⫖↰⪸279B≁↽≥⫖↰⪸3136⪚⫖↰⪸7B4∓⋝⫖↰⪸19B5+(⫖↰⪸3038⋥≓≎⫖↰⪸2429)⪚⫖↰⪸1165⇻⋧≁⫖↰⪸3246)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3498,"operation_count":14,"complexity_ratio":249.85714285714286,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1103,"base":12},"right_expr":{"type":"numeric_atoms","value":1319,"base":12}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1783,"base":12}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2676,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4583,"base":12},"right_expr":{"type":"numeric_atoms","value":5370,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1144,"base":12},"right_expr":{"type":"numeric_atoms","value":3161,"base":12}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5228,"base":12},"right_expr":{"type":"numeric_atoms","value":4065,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1949,"base":12},"right_expr":{"type":"numeric_atoms","value":5526,"base":12}}}}},"used_operators":["7t3wd0Fuz7","abYXlopdE0","2GS7woTJqF","jCPkEVoL5K","QxG7OkqoLX","MXaNJeIAZ3","KPf6cnQVty","W4YGzv6Whe","HrjLwUk87U","ncHt1X6cMc","PoHhknlbAi","Qy55tPpLXF"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g55IO6H4Gj","D4vGDi5EA2","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","oWn0xqSxBt","3Oe9XWJUTD","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸95","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1319, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5088","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=5088, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1341","layer":2},{"info":"number node, value=2676","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=1034, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=1440","layer":2},{"info":"compute binary expreesion, left_input=1341, right_input=1440, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=4583","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=5370, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=78677","layer":3},{"info":"number node, value=1144","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=3161, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=78677, right_input=67, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=156864","layer":2},{"info":"number node, value=5228","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=5228, right_input=4065, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2935","layer":3},{"info":"number node, value=1949","layer":4},{"info":"number node, value=5526","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=5526, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=2935, right_input=-447, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6408","layer":2},{"info":"compute binary expreesion, left_input=156864, right_input=6408, op_id = W4YGzv6Whe binary_op_definition= 'None', output=163272","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=163272, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸77B⇻⋧≁⫖↰⪸91B+⪬∐(⊽⫖↰⪸1047))⨿(↡⫖↰⪸1670∺≝⩲⫖↰⪸722)⋥⋵⩄(⫖↰⪸279B≁↽≥⫖↰⪸3136⪚⫖↰⪸7B4∓⋝⫖↰⪸19B5+(⫖↰⪸3038⋥≓≎⫖↰⪸2429)⪚⫖↰⪸1165⇻⋧≁⫖↰⪸3246)=⫖↰⪸95","reverse_text":"⫖↰⪸95=(⫖↰⪸77B⇻⋧≁⫖↰⪸91B+⪬∐(⊽⫖↰⪸1047))⨿(↡⫖↰⪸1670∺≝⩲⫖↰⪸722)⋥⋵⩄(⫖↰⪸279B≁↽≥⫖↰⪸3136⪚⫖↰⪸7B4∓⋝⫖↰⪸19B5+(⫖↰⪸3038⋥≓≎⫖↰⪸2429)⪚⫖↰⪸1165⇻⋧≁⫖↰⪸3246)","cot":[{"info":"⫖↰⪸77B⇻⋧≁⫖↰⪸91B=⫖↰⪸-313","layer":3},{"info":"⊽⫖↰⪸1047=⫖↰⪸2B40","layer":3},{"info":"⫖↰⪸-313+⪬∐⫖↰⪸2B40=⫖↰⪸939","layer":2},{"info":"⫖↰⪸1670∺≝⩲⫖↰⪸722=⫖↰⪸114","layer":3},{"info":"↡⫖↰⪸114=⫖↰⪸A00","layer":2},{"info":"⫖↰⪸939⨿⫖↰⪸A00=⫖↰⪸-227","layer":1},{"info":"⫖↰⪸279B≁↽≥⫖↰⪸3136=⫖↰⪸39645","layer":3},{"info":"⫖↰⪸7B4∓⋝⫖↰⪸19B5=⫖↰⪸57","layer":3},{"info":"⫖↰⪸39645⪚⫖↰⪸57=⫖↰⪸76940","layer":2},{"info":"⫖↰⪸3038⋥≓≎⫖↰⪸2429=⫖↰⪸1847","layer":3},{"info":"⫖↰⪸1165⇻⋧≁⫖↰⪸3246=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1847⪚⫖↰⪸-313=⫖↰⪸3860","layer":2},{"info":"⫖↰⪸76940+⫖↰⪸3860=⫖↰⪸7A5A0","layer":1},{"info":"⫖↰⪸-227⋥⋵⩄⫖↰⪸7A5A0=⫖↰⪸95","layer":0}]}
{"id":300,"expression_no_base_symbol":"(($1604$⨐⩸⫘$2047$)⩘(⇜⊴$1393$)⇴(($1548$⫥∨⫟$2504$)≎⊠⪸$1483$⩇∃⫛$3257$))⫘(≪(≅≯⇸$3074$)⨑⩅≇$2863$⪃⊛⇣$2221$)","expression":"((⫖↰⪸B18⨐⩸⫘⫖↰⪸1227)⩘(⇜⊴⫖↰⪸981)⇴((⫖↰⪸A90⫥∨⫟⫖↰⪸1548)≎⊠⪸⫖↰⪸A37⩇∃⫛⫖↰⪸1A75))⫘(≪(≅≯⇸⫖↰⪸1942)⨑⩅≇⫖↰⪸17A7⪃⊛⇣⫖↰⪸1351)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2333,"operation_count":12,"complexity_ratio":194.41666666666666,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1604,"base":12},"right_expr":{"type":"numeric_atoms","value":2047,"base":12}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1393,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1548,"base":12},"right_expr":{"type":"numeric_atoms","value":2504,"base":12}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1483,"base":12},"right_expr":{"type":"numeric_atoms","value":3257,"base":12}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3074,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2863,"base":12},"right_expr":{"type":"numeric_atoms","value":2221,"base":12}}}}},"used_operators":["48vC8HMD2b","4JB6nKBMSY","cHh1gJQ2o6","fu6greOZ01","XwDhCwWbUn","bJkvcejdHO","KYD54nUTWz","1aApVXNlOP","Qtd6bqUJcN","h92wMvzauj","apS25hmuAe","rrgAzCduG9"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","NTOWxs364D","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","3ViojmjbAp","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","EBcxylXtPf","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1604","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=2047, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, 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=-315034","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-315034, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1548","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=2504, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=3257, 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=2247","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2247, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"number node, value=3074","layer":4},{"info":"compute unary expreesion, input=3074, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=19973","layer":3},{"info":"number node, value=2863","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=2221, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=19973, right_input=1234, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-59919","layer":2},{"info":"compute unary expreesion, input=-59919, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=718899","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=718899, 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":12,"result_base":12,"text":"((⫖↰⪸B18⨐⩸⫘⫖↰⪸1227)⩘(⇜⊴⫖↰⪸981)⇴((⫖↰⪸A90⫥∨⫟⫖↰⪸1548)≎⊠⪸⫖↰⪸A37⩇∃⫛⫖↰⪸1A75))⫘(≪(≅≯⇸⫖↰⪸1942)⨑⩅≇⫖↰⪸17A7⪃⊛⇣⫖↰⪸1351)=NaN","reverse_text":"NaN=((⫖↰⪸B18⨐⩸⫘⫖↰⪸1227)⩘(⇜⊴⫖↰⪸981)⇴((⫖↰⪸A90⫥∨⫟⫖↰⪸1548)≎⊠⪸⫖↰⪸A37⩇∃⫛⫖↰⪸1A75))⫘(≪(≅≯⇸⫖↰⪸1942)⨑⩅≇⫖↰⪸17A7⪃⊛⇣⫖↰⪸1351)","cot":[{"info":"⫖↰⪸B18⨐⩸⫘⫖↰⪸1227=NaN","layer":3},{"info":"⇜⊴⫖↰⪸981=⫖↰⪸-13238A","layer":3},{"info":"NaN⩘⫖↰⪸-13238A=⫖↰⪸114","layer":2},{"info":"⫖↰⪸A90⫥∨⫟⫖↰⪸1548=NaN","layer":3},{"info":"⫖↰⪸A37⩇∃⫛⫖↰⪸1A75=⫖↰⪸1373","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸1373=NaN","layer":2},{"info":"⫖↰⪸114⇴NaN=NaN","layer":1},{"info":"≅≯⇸⫖↰⪸1942=⫖↰⪸B685","layer":3},{"info":"⫖↰⪸17A7⪃⊛⇣⫖↰⪸1351=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸B685⨑⩅≇⫖↰⪸86A=⫖↰⪸-2A813","layer":2},{"info":"≪⫖↰⪸-2A813=⫖↰⪸2A8043","layer":1},{"info":"NaN⫘⫖↰⪸2A8043=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"((⇋⊎⋝$3921$)⫰⋱$1615$⊝⪿⪼$5237$)⪪($2185$⪒⊣⊆$1533$⇼⇔∾$7278$⩘$2171$)⊪","expression":"((⇋⊎⋝⫖↰⪸2329)⫰⋱⫖↰⪸B27⊝⪿⪼⫖↰⪸3045)⪪(⫖↰⪸1321⪒⊣⊆⫖↰⪸A79⇼⇔∾⫖↰⪸4266⩘⫖↰⪸130B)⊪","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4127,"operation_count":8,"complexity_ratio":515.875,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3921,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1615,"base":12},"right_expr":{"type":"numeric_atoms","value":5237,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2185,"base":12},"right_expr":{"type":"numeric_atoms","value":1533,"base":12}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7278,"base":12},"right_expr":{"type":"numeric_atoms","value":2171,"base":12}}}}},"used_operators":["zVYPLywUTj","xD69zh8xqp","6o9Blt3TJ6","CzM2PEoXns","3Oe9XWJUTD","tifHPKVTfV","eRqsBgTDFp","cHh1gJQ2o6"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","dWAJyo7jo9","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3921","layer":4},{"info":"compute unary expreesion, input=3921, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1615","layer":4},{"info":"number node, value=5237","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=5237, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=34157","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=34157, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=2185","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=1533, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4370","layer":3},{"info":"number node, value=7278","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=7278, right_input=2171, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4370, right_input=160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4210","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4210, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇋⊎⋝⫖↰⪸2329)⫰⋱⫖↰⪸B27⊝⪿⪼⫖↰⪸3045)⪪(⫖↰⪸1321⪒⊣⊆⫖↰⪸A79⇼⇔∾⫖↰⪸4266⩘⫖↰⪸130B)⊪=NaN","reverse_text":"NaN=((⇋⊎⋝⫖↰⪸2329)⫰⋱⫖↰⪸B27⊝⪿⪼⫖↰⪸3045)⪪(⫖↰⪸1321⪒⊣⊆⫖↰⪸A79⇼⇔∾⫖↰⪸4266⩘⫖↰⪸130B)⊪","cot":[{"info":"⇋⊎⋝⫖↰⪸2329=NaN","layer":3},{"info":"⫖↰⪸B27⊝⪿⪼⫖↰⪸3045=⫖↰⪸17925","layer":3},{"info":"NaN⫰⋱⫖↰⪸17925=NaN","layer":2},{"info":"⫖↰⪸1321⪒⊣⊆⫖↰⪸A79=⫖↰⪸2642","layer":3},{"info":"⫖↰⪸4266⩘⫖↰⪸130B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2642⇼⇔∾⫖↰⪸114=⫖↰⪸-252A","layer":2},{"info":"NaN⪪⫖↰⪸-252A=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"⊙↵-(↨⩢⫨(($2281$⪐)⨻⩈⩔$4059$∣$1422$))","expression":"⊙↵-(↨⩢⫨((⫖↰⪸13A1⪐)⨻⩈⩔⫖↰⪸2423∣⫖↰⪸9A6))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":208,"operation_count":5,"complexity_ratio":41.6,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2281,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4059,"base":12},"right_expr":{"type":"numeric_atoms","value":1422,"base":12}}}}},"used_operators":["oWn0xqSxBt","Z5CJsN7DuW","nEsXyWgiOK","eH2TOUuTDT","PPChnnnBFF"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2281","layer":4},{"info":"compute unary expreesion, input=2281, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4562","layer":3},{"info":"number node, value=4059","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=1422, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4059","layer":3},{"info":"compute binary expreesion, left_input=4562, right_input=4059, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=28095","layer":2},{"info":"compute unary expreesion, input=28095, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊙↵-(↨⩢⫨((⫖↰⪸13A1⪐)⨻⩈⩔⫖↰⪸2423∣⫖↰⪸9A6))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-(↨⩢⫨((⫖↰⪸13A1⪐)⨻⩈⩔⫖↰⪸2423∣⫖↰⪸9A6))","cot":[{"info":"⫖↰⪸13A1⪐=⫖↰⪸2782","layer":3},{"info":"⫖↰⪸2423∣⫖↰⪸9A6=⫖↰⪸2423","layer":3},{"info":"⫖↰⪸2782⨻⩈⩔⫖↰⪸2423=⫖↰⪸14313","layer":2},{"info":"↨⩢⫨⫖↰⪸14313=⫖↰⪸0","layer":1},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":303,"expression_no_base_symbol":"(($8486$⫔⩽⩺$2966$)∠↢(∂$1349$))⊢((↽≂$2040$)→⨶⪴($2009$≃⋄))⇷($1504$⫘$1607$⪉⨛(-$2716$)∪⫐$1178$⇌⫙⪟$2468$∠↢(∥⊫$5914$))","expression":"((⫖↰⪸4AB2⫔⩽⩺⫖↰⪸1872)∠↢(∂⫖↰⪸945))⊢((↽≂⫖↰⪸1220)→⨶⪴(⫖↰⪸11B5≃⋄))⇷(⫖↰⪸A54⫘⫖↰⪸B1B⪉⨛(-⫖↰⪸16A4)∪⫐⫖↰⪸822⇌⫙⪟⫖↰⪸1518∠↢(∥⊫⫖↰⪸350A))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1880,"operation_count":15,"complexity_ratio":125.33333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8486,"base":12},"right_expr":{"type":"numeric_atoms","value":2966,"base":12}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1349,"base":12}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2040,"base":12}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":2009,"base":12}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1504,"base":12},"right_expr":{"type":"numeric_atoms","value":1607,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2716,"base":12}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1178,"base":12},"right_expr":{"type":"numeric_atoms","value":2468,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5914,"base":12}}}}},"used_operators":["mp7IySMOzn","5twsqlHp2o","KbjG8mgYpV","i9eR4S00cU","Uaa54Peajs","bF6eod5Gvf","u6S6b8DprG","aN9a90urxU","7YooWSwCyH","EWw2JM7wp4","48vC8HMD2b","t8gj7n24qd","AFVx7xoS7T","P8v4zCKN1o"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tw270M8GLb","fu6greOZ01","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸3694030","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8486","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=8486, right_input=2966, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=2040","layer":4},{"info":"compute unary expreesion, input=2040, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4080","layer":3},{"info":"number node, value=2009","layer":4},{"info":"compute unary expreesion, input=2009, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=-4080, right_input=764, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-2292","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2292, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":1},{"info":"number node, value=1504","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1607, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1773109","layer":3},{"info":"number node, value=2716","layer":4},{"info":"compute unary expreesion, input=2716, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2716","layer":3},{"info":"compute binary expreesion, left_input=1773109, right_input=-2716, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5322258","layer":2},{"info":"number node, value=1178","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=2468, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=5914","layer":4},{"info":"compute unary expreesion, input=5914, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6782","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=6782, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-94318","layer":2},{"info":"compute binary expreesion, left_input=5322258, right_input=-94318, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5322258","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5322258, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10644516","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4AB2⫔⩽⩺⫖↰⪸1872)∠↢(∂⫖↰⪸945))⊢((↽≂⫖↰⪸1220)→⨶⪴(⫖↰⪸11B5≃⋄))⇷(⫖↰⪸A54⫘⫖↰⪸B1B⪉⨛(-⫖↰⪸16A4)∪⫐⫖↰⪸822⇌⫙⪟⫖↰⪸1518∠↢(∥⊫⫖↰⪸350A))=⫖↰⪸3694030","reverse_text":"⫖↰⪸3694030=((⫖↰⪸4AB2⫔⩽⩺⫖↰⪸1872)∠↢(∂⫖↰⪸945))⊢((↽≂⫖↰⪸1220)→⨶⪴(⫖↰⪸11B5≃⋄))⇷(⫖↰⪸A54⫘⫖↰⪸B1B⪉⨛(-⫖↰⪸16A4)∪⫐⫖↰⪸822⇌⫙⪟⫖↰⪸1518∠↢(∥⊫⫖↰⪸350A))","cot":[{"info":"⫖↰⪸4AB2⫔⩽⩺⫖↰⪸1872=NaN","layer":3},{"info":"∂⫖↰⪸945=NaN","layer":3},{"info":"NaN∠↢NaN=NaN","layer":2},{"info":"↽≂⫖↰⪸1220=⫖↰⪸-2440","layer":3},{"info":"⫖↰⪸11B5≃⋄=⫖↰⪸538","layer":3},{"info":"⫖↰⪸-2440→⨶⪴⫖↰⪸538=⫖↰⪸-13B0","layer":2},{"info":"NaN⊢⫖↰⪸-13B0=NaN","layer":1},{"info":"⫖↰⪸A54⫘⫖↰⪸B1B=⫖↰⪸716131","layer":3},{"info":"-⫖↰⪸16A4=⫖↰⪸-16A4","layer":3},{"info":"⫖↰⪸716131⪉⨛⫖↰⪸-16A4=⫖↰⪸1948016","layer":2},{"info":"⫖↰⪸822⇌⫙⪟⫖↰⪸1518=⫖↰⪸95","layer":3},{"info":"∥⊫⫖↰⪸350A=⫖↰⪸3B12","layer":3},{"info":"⫖↰⪸95∠↢⫖↰⪸3B12=⫖↰⪸-466BA","layer":2},{"info":"⫖↰⪸1948016∪⫐⫖↰⪸-466BA=⫖↰⪸1948016","layer":1},{"info":"NaN⇷⫖↰⪸1948016=⫖↰⪸3694030","layer":0}]}
{"id":304,"expression_no_base_symbol":"((($4210$≠≀$4386$)⪛$2893$⪝$5766$)⫿)↞⋁(($1498$*$3995$)⪛$1984$↳∿⪆$1835$⊉≛↸((⨩∲⋌$2057$)⋘⨑⨽))","expression":"(((⫖↰⪸252A≠≀⫖↰⪸2656)⪛⫖↰⪸1811⪝⫖↰⪸3406)⫿)↞⋁((⫖↰⪸A4A*⫖↰⪸238B)⪛⫖↰⪸1194↳∿⪆⫖↰⪸108B⊉≛↸((⨩∲⋌⫖↰⪸1235)⋘⨑⨽))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4586,"operation_count":11,"complexity_ratio":416.90909090909093,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4210,"base":12},"right_expr":{"type":"numeric_atoms","value":4386,"base":12}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2893,"base":12},"right_expr":{"type":"numeric_atoms","value":5766,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1498,"base":12},"right_expr":{"type":"numeric_atoms","value":3995,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1984,"base":12},"right_expr":{"type":"numeric_atoms","value":1835,"base":12}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2057,"base":12}}}}},"used_operators":["RqrPlJkxDo","9tKT6PmtkH","uFcxV4UQCh","IwW236VD4Y","wicAB68Tmb","DZ8iAZOCBD","9HNa5Wba9A","Cw4SuJJGHO","WmT3o8z6ya","aSik1wnThz"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4210","layer":4},{"info":"number node, value=4386","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=4386, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8114","layer":3},{"info":"number node, value=2893","layer":4},{"info":"number node, value=5766","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=5766, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=-8114, right_input=237, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=181","layer":2},{"info":"compute unary expreesion, input=181, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=-2492","layer":1},{"info":"number node, value=1498","layer":4},{"info":"number node, value=3995","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=3995, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5984510","layer":3},{"info":"number node, value=1984","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=1835, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5984510, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2580","layer":3},{"info":"compute unary expreesion, input=-2580, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-12117","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12117, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2492, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸252A≠≀⫖↰⪸2656)⪛⫖↰⪸1811⪝⫖↰⪸3406)⫿)↞⋁((⫖↰⪸A4A*⫖↰⪸238B)⪛⫖↰⪸1194↳∿⪆⫖↰⪸108B⊉≛↸((⨩∲⋌⫖↰⪸1235)⋘⨑⨽))=NaN","reverse_text":"NaN=(((⫖↰⪸252A≠≀⫖↰⪸2656)⪛⫖↰⪸1811⪝⫖↰⪸3406)⫿)↞⋁((⫖↰⪸A4A*⫖↰⪸238B)⪛⫖↰⪸1194↳∿⪆⫖↰⪸108B⊉≛↸((⨩∲⋌⫖↰⪸1235)⋘⨑⨽))","cot":[{"info":"⫖↰⪸252A≠≀⫖↰⪸2656=⫖↰⪸-4842","layer":3},{"info":"⫖↰⪸1811⪝⫖↰⪸3406=⫖↰⪸179","layer":3},{"info":"⫖↰⪸-4842⪛⫖↰⪸179=⫖↰⪸131","layer":2},{"info":"⫖↰⪸131⫿=⫖↰⪸-1538","layer":1},{"info":"⫖↰⪸A4A*⫖↰⪸238B=⫖↰⪸2007312","layer":3},{"info":"⫖↰⪸1194↳∿⪆⫖↰⪸108B=NaN","layer":3},{"info":"⫖↰⪸2007312⪛NaN=NaN","layer":2},{"info":"⨩∲⋌⫖↰⪸1235=⫖↰⪸-15B0","layer":3},{"info":"⫖↰⪸-15B0⋘⨑⨽=⫖↰⪸-7019","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-7019=NaN","layer":1},{"info":"⫖↰⪸-1538↞⋁NaN=NaN","layer":0}]}
{"id":305,"expression_no_base_symbol":"(⩷⨜⫀($1262$⪛$4258$≃$2206$≳⇉$1412$))⫳≱↱($1465$⪬$1054$∛($5673$⪄$3171$))∛($4863$+⇶⊼$1612$)∴($1808$⪭≯$2938$)","expression":"(⩷⨜⫀(⫖↰⪸892⪛⫖↰⪸256A≃⫖↰⪸133A≳⇉⫖↰⪸998))⫳≱↱(⫖↰⪸A21⪬⫖↰⪸73A∛(⫖↰⪸3349⪄⫖↰⪸1A03))∛(⫖↰⪸2993+⇶⊼⫖↰⪸B24)∴(⫖↰⪸1068⪭≯⫖↰⪸184A)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28619301,"operation_count":12,"complexity_ratio":2384941.75,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1262,"base":12},"right_expr":{"type":"numeric_atoms","value":4258,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2206,"base":12},"right_expr":{"type":"numeric_atoms","value":1412,"base":12}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1465,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5673,"base":12},"right_expr":{"type":"numeric_atoms","value":3171,"base":12}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4863,"base":12},"right_expr":{"type":"numeric_atoms","value":1612,"base":12}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1808,"base":12},"right_expr":{"type":"numeric_atoms","value":2938,"base":12}}}}},"used_operators":["ZvLB05nZmT","CDi0ktkjQ4","YbVcJGFEVW","uFcxV4UQCh","V0kx6qeWkN","w2537kitQq","Ez1Nq5fNfI","SUmda5xLS4","hrf7POJlIJ","TpPTUOHfaN","XAx5wpdLa6"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AHs5Up7iyr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⫖↰⪸-38A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"number node, value=4258","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=4258, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1262","layer":3},{"info":"number node, value=2206","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=1412, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1262, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":2},{"info":"compute unary expreesion, input=69, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=204","layer":1},{"info":"number node, value=1465","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1054, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5673","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=5673, right_input=3171, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-848377","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-848377, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=4863","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=4863, right_input=1612, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1808","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=2938, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=67, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-538","layer":0}],"base":12,"result_base":12,"text":"(⩷⨜⫀(⫖↰⪸892⪛⫖↰⪸256A≃⫖↰⪸133A≳⇉⫖↰⪸998))⫳≱↱(⫖↰⪸A21⪬⫖↰⪸73A∛(⫖↰⪸3349⪄⫖↰⪸1A03))∛(⫖↰⪸2993+⇶⊼⫖↰⪸B24)∴(⫖↰⪸1068⪭≯⫖↰⪸184A)=⫖↰⪸-38A","reverse_text":"⫖↰⪸-38A=(⩷⨜⫀(⫖↰⪸892⪛⫖↰⪸256A≃⫖↰⪸133A≳⇉⫖↰⪸998))⫳≱↱(⫖↰⪸A21⪬⫖↰⪸73A∛(⫖↰⪸3349⪄⫖↰⪸1A03))∛(⫖↰⪸2993+⇶⊼⫖↰⪸B24)∴(⫖↰⪸1068⪭≯⫖↰⪸184A)","cot":[{"info":"⫖↰⪸892⪛⫖↰⪸256A=⫖↰⪸892","layer":3},{"info":"⫖↰⪸133A≳⇉⫖↰⪸998=NaN","layer":3},{"info":"⫖↰⪸892≃NaN=⫖↰⪸59","layer":2},{"info":"⩷⨜⫀⫖↰⪸59=⫖↰⪸150","layer":1},{"info":"⫖↰⪸A21⪬⫖↰⪸73A=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸3349⪄⫖↰⪸1A03=⫖↰⪸-34AB61","layer":3},{"info":"⫖↰⪸86A∛⫖↰⪸-34AB61=⫖↰⪸57","layer":2},{"info":"⫖↰⪸2993+⇶⊼⫖↰⪸B24=NaN","layer":3},{"info":"⫖↰⪸1068⪭≯⫖↰⪸184A=NaN","layer":3},{"info":"NaN∴NaN=NaN","layer":2},{"info":"⫖↰⪸57∛NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸150⫳≱↱⫖↰⪸57=⫖↰⪸-38A","layer":0}]}
{"id":306,"expression_no_base_symbol":"↓⇌((($3811$⪨≂$2742$)∷$2327$⫯⪬∳$6341$)⫥∨⫟($1658$≬⋮$1057$)⫁⪎($8676$⪔$2415$))","expression":"↓⇌(((⫖↰⪸2257⪨≂⫖↰⪸1706)∷⫖↰⪸141B⫯⪬∳⫖↰⪸3805)⫥∨⫟(⫖↰⪸B62≬⋮⫖↰⪸741)⫁⪎(⫖↰⪸5030⪔⫖↰⪸1493))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2707,"operation_count":8,"complexity_ratio":338.375,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3811,"base":12},"right_expr":{"type":"numeric_atoms","value":2742,"base":12}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2327,"base":12},"right_expr":{"type":"numeric_atoms","value":6341,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1658,"base":12},"right_expr":{"type":"numeric_atoms","value":1057,"base":12}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":8676,"base":12},"right_expr":{"type":"numeric_atoms","value":2415,"base":12}}}}},"used_operators":["PxpmPgHHJV","KYD54nUTWz","D3AQDKkPcf","sdazOOVcIp","d7ASUq0ydm","xRrnTEsQ6j","kbkesczE7y","GjBEYRfMaF"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3811","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=3811, right_input=2742, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2240","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=6341","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=6341, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5327","layer":3},{"info":"compute binary expreesion, left_input=2240, right_input=5327, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5327","layer":2},{"info":"number node, value=1658","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=1057, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=8676","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=8676, right_input=2415, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=450, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=418","layer":2},{"info":"compute binary expreesion, left_input=5327, right_input=418, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↓⇌(((⫖↰⪸2257⪨≂⫖↰⪸1706)∷⫖↰⪸141B⫯⪬∳⫖↰⪸3805)⫥∨⫟(⫖↰⪸B62≬⋮⫖↰⪸741)⫁⪎(⫖↰⪸5030⪔⫖↰⪸1493))=NaN","reverse_text":"NaN=↓⇌(((⫖↰⪸2257⪨≂⫖↰⪸1706)∷⫖↰⪸141B⫯⪬∳⫖↰⪸3805)⫥∨⫟(⫖↰⪸B62≬⋮⫖↰⪸741)⫁⪎(⫖↰⪸5030⪔⫖↰⪸1493))","cot":[{"info":"⫖↰⪸2257⪨≂⫖↰⪸1706=⫖↰⪸1368","layer":3},{"info":"⫖↰⪸141B⫯⪬∳⫖↰⪸3805=⫖↰⪸30BB","layer":3},{"info":"⫖↰⪸1368∷⫖↰⪸30BB=⫖↰⪸30BB","layer":2},{"info":"⫖↰⪸B62≬⋮⫖↰⪸741=⫖↰⪸604","layer":3},{"info":"⫖↰⪸5030⪔⫖↰⪸1493=⫖↰⪸316","layer":3},{"info":"⫖↰⪸604⫁⪎⫖↰⪸316=⫖↰⪸2AA","layer":2},{"info":"⫖↰⪸30BB⫥∨⫟⫖↰⪸2AA=NaN","layer":1},{"info":"↓⇌NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"($3046$⊹∫⫚$1090$⩵∡(↩⪖$3942$))≦↸(⊤⊝$1419$⊮⊟↴$1760$)⊠≄⫣","expression":"(⫖↰⪸191A⊹∫⫚⫖↰⪸76A⩵∡(↩⪖⫖↰⪸2346))≦↸(⊤⊝⫖↰⪸9A3⊮⊟↴⫖↰⪸1028)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":121,"operation_count":7,"complexity_ratio":17.285714285714285,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3046,"base":12},"right_expr":{"type":"numeric_atoms","value":1090,"base":12}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3942,"base":12}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1419,"base":12},"right_expr":{"type":"numeric_atoms","value":1760,"base":12}}}}},"used_operators":["DIvbN7qnHd","RygbFNSyEJ","Y7wcNGrDQJ","uWAJUKEvyW","fG6uBQFnGz","rXAclfmB4M","QDVgd2eftb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","glklzrTFfD","tifHPKVTfV","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3046","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=3046, right_input=1090, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-392","layer":3},{"info":"number node, value=3942","layer":4},{"info":"compute unary expreesion, input=3942, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-26634","layer":3},{"info":"compute binary expreesion, left_input=-392, right_input=-26634, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-25579","layer":2},{"info":"number node, value=1419","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1760, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1298","layer":2},{"info":"compute binary expreesion, left_input=-25579, right_input=-1298, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=26260","layer":1},{"info":"compute unary expreesion, input=26260, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸191A⊹∫⫚⫖↰⪸76A⩵∡(↩⪖⫖↰⪸2346))≦↸(⊤⊝⫖↰⪸9A3⊮⊟↴⫖↰⪸1028)⊠≄⫣=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸191A⊹∫⫚⫖↰⪸76A⩵∡(↩⪖⫖↰⪸2346))≦↸(⊤⊝⫖↰⪸9A3⊮⊟↴⫖↰⪸1028)⊠≄⫣","cot":[{"info":"⫖↰⪸191A⊹∫⫚⫖↰⪸76A=⫖↰⪸-288","layer":3},{"info":"↩⪖⫖↰⪸2346=⫖↰⪸-134B6","layer":3},{"info":"⫖↰⪸-288⩵∡⫖↰⪸-134B6=⫖↰⪸-12977","layer":2},{"info":"⫖↰⪸9A3⊮⊟↴⫖↰⪸1028=⫖↰⪸0","layer":3},{"info":"⊤⊝⫖↰⪸0=⫖↰⪸-902","layer":2},{"info":"⫖↰⪸-12977≦↸⫖↰⪸-902=⫖↰⪸13244","layer":1},{"info":"⫖↰⪸13244⊠≄⫣=⫖↰⪸0","layer":0}]}
{"id":308,"expression_no_base_symbol":"(⨈⫕($1699$⫔⩽⩺$2024$)⫒⫫$1033$∣$4837$)⋅⇍(∷≠$3852$⩖⊿$3044$)⪭≯(⨦⪝($2066$⪷))","expression":"(⨈⫕(⫖↰⪸B97⫔⩽⩺⫖↰⪸1208)⫒⫫⫖↰⪸721∣⫖↰⪸2971)⋅⇍(∷≠⫖↰⪸2290⩖⊿⫖↰⪸1918)⪭≯(⨦⪝(⫖↰⪸1242⪷))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2749,"operation_count":10,"complexity_ratio":274.9,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1699,"base":12},"right_expr":{"type":"numeric_atoms","value":2024,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1033,"base":12},"right_expr":{"type":"numeric_atoms","value":4837,"base":12}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3852,"base":12},"right_expr":{"type":"numeric_atoms","value":3044,"base":12}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2066,"base":12}}}}},"used_operators":["AdZkA7nFnk","megm06wKyl","6Ko8hGgeMq","i9eR4S00cU","PPChnnnBFF","XAx5wpdLa6","QiR2Oyf5Xj","RZ5CV9rWsJ","SUjycxNXIR","Qctrpi3WzA"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","7j4O788W3g","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","Nsiff2A1zJ"],"result":"⫖↰⪸-3A0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1699","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=2024, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=4837","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=4837, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1033","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1033, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=3852","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=3852, right_input=3044, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8862","layer":3},{"info":"compute unary expreesion, input=8862, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=8862","layer":2},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=8862, right_input=-1884, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-552","layer":0}],"base":12,"result_base":12,"text":"(⨈⫕(⫖↰⪸B97⫔⩽⩺⫖↰⪸1208)⫒⫫⫖↰⪸721∣⫖↰⪸2971)⋅⇍(∷≠⫖↰⪸2290⩖⊿⫖↰⪸1918)⪭≯(⨦⪝(⫖↰⪸1242⪷))=⫖↰⪸-3A0","reverse_text":"⫖↰⪸-3A0=(⨈⫕(⫖↰⪸B97⫔⩽⩺⫖↰⪸1208)⫒⫫⫖↰⪸721∣⫖↰⪸2971)⋅⇍(∷≠⫖↰⪸2290⩖⊿⫖↰⪸1918)⪭≯(⨦⪝(⫖↰⪸1242⪷))","cot":[{"info":"⫖↰⪸B97⫔⩽⩺⫖↰⪸1208=NaN","layer":3},{"info":"⫖↰⪸721∣⫖↰⪸2971=⫖↰⪸721","layer":3},{"info":"NaN⫒⫫⫖↰⪸721=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸2290⩖⊿⫖↰⪸1918=⫖↰⪸5166","layer":3},{"info":"∷≠⫖↰⪸5166=⫖↰⪸5166","layer":2},{"info":"⫖↰⪸1242⪷=NaN","layer":3},{"info":"⨦⪝NaN=⫖↰⪸-1110","layer":2},{"info":"⫖↰⪸5166⪭≯⫖↰⪸-1110=NaN","layer":1},{"info":"⫖↰⪸-19⋅⇍NaN=⫖↰⪸-3A0","layer":0}]}
{"id":309,"expression_no_base_symbol":"(→⩰($1389$⫻⋑⊟))≧⫂∧($2779$≧⫂∧$1356$)⪢($1037$⋣⋖$1346$)↺(≯($1929$⨟⋌⩍$1363$)⇂≾⫗(↞≼$4522$))","expression":"(→⩰(⫖↰⪸979⫻⋑⊟))≧⫂∧(⫖↰⪸1737≧⫂∧⫖↰⪸950)⪢(⫖↰⪸725⋣⋖⫖↰⪸942)↺(≯(⫖↰⪸1149⨟⋌⩍⫖↰⪸957)⇂≾⫗(↞≼⫖↰⪸274A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3590,"operation_count":11,"complexity_ratio":326.3636363636364,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1389,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2779,"base":12},"right_expr":{"type":"numeric_atoms","value":1356,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":1346,"base":12}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1929,"base":12},"right_expr":{"type":"numeric_atoms","value":1363,"base":12}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4522,"base":12}}}}},"used_operators":["7j4O788W3g","Ph9nP6C5qx","o8Pngz0Tml","o575Zjdmzy","dWAJyo7jo9","J0M6qkBnIM","keWfFq85dY","aBQ6xLxuTc","rGHVDoGpnC","DE7zCoGJt9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","JLbD19bQDL","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Tcnh7f0tEr","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":4},{"info":"compute unary expreesion, input=1389, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2268","layer":3},{"info":"compute unary expreesion, input=-2268, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=2779","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=2779, right_input=1356, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=883","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1346, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1037","layer":3},{"info":"compute binary expreesion, left_input=883, right_input=1037, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=1929","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=1363, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4522","layer":4},{"info":"compute unary expreesion, input=4522, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=35762","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=35762, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(→⩰(⫖↰⪸979⫻⋑⊟))≧⫂∧(⫖↰⪸1737≧⫂∧⫖↰⪸950)⪢(⫖↰⪸725⋣⋖⫖↰⪸942)↺(≯(⫖↰⪸1149⨟⋌⩍⫖↰⪸957)⇂≾⫗(↞≼⫖↰⪸274A))=NaN","reverse_text":"NaN=(→⩰(⫖↰⪸979⫻⋑⊟))≧⫂∧(⫖↰⪸1737≧⫂∧⫖↰⪸950)⪢(⫖↰⪸725⋣⋖⫖↰⪸942)↺(≯(⫖↰⪸1149⨟⋌⩍⫖↰⪸957)⇂≾⫗(↞≼⫖↰⪸274A))","cot":[{"info":"⫖↰⪸979⫻⋑⊟=⫖↰⪸-1390","layer":3},{"info":"→⩰⫖↰⪸-1390=NaN","layer":2},{"info":"⫖↰⪸1737≧⫂∧⫖↰⪸950=⫖↰⪸617","layer":3},{"info":"⫖↰⪸725⋣⋖⫖↰⪸942=⫖↰⪸725","layer":3},{"info":"⫖↰⪸617⪢⫖↰⪸725=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⫖↰⪸1149⨟⋌⩍⫖↰⪸957=NaN","layer":3},{"info":"↞≼⫖↰⪸274A=⫖↰⪸18842","layer":3},{"info":"NaN⇂≾⫗⫖↰⪸18842=NaN","layer":2},{"info":"≯NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"∮((⊿$5861$)⩼⇪↪($2107$⫰⋱$2715$)≃($3648$⨳⩥⨓$1916$)⩁⩘($1477$∕⩚$1703$))","expression":"∮((⊿⫖↰⪸3485)⩼⇪↪(⫖↰⪸1277⫰⋱⫖↰⪸16A3)≃(⫖↰⪸2140⨳⩥⨓⫖↰⪸1138)⩁⩘(⫖↰⪸A31∕⩚⫖↰⪸B9B))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1885,"operation_count":8,"complexity_ratio":235.625,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":5861,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2107,"base":12},"right_expr":{"type":"numeric_atoms","value":2715,"base":12}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3648,"base":12},"right_expr":{"type":"numeric_atoms","value":1916,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1477,"base":12},"right_expr":{"type":"numeric_atoms","value":1703,"base":12}}}}},"used_operators":["CqXKPLVYql","YbVcJGFEVW","ocnLzx9CaJ","DO4fhlbJSI","6o9Blt3TJ6","gub5Cegaqo","nCS4ZIUYfx","z9ffQ9n5Zr"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5861","layer":4},{"info":"compute unary expreesion, input=5861, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-24182","layer":3},{"info":"number node, value=2107","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=2715, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2074","layer":3},{"info":"compute binary expreesion, left_input=-24182, right_input=-2074, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-34629","layer":2},{"info":"number node, value=3648","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=3648, right_input=1916, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1732","layer":3},{"info":"number node, value=1477","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1703, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1480","layer":3},{"info":"compute binary expreesion, left_input=-1732, right_input=-1480, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-4972","layer":2},{"info":"compute binary expreesion, left_input=-34629, right_input=-4972, 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=19848","layer":1},{"info":"compute unary expreesion, input=19848, 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":12,"result_base":12,"text":"∮((⊿⫖↰⪸3485)⩼⇪↪(⫖↰⪸1277⫰⋱⫖↰⪸16A3)≃(⫖↰⪸2140⨳⩥⨓⫖↰⪸1138)⩁⩘(⫖↰⪸A31∕⩚⫖↰⪸B9B))=⫖↰⪸57","reverse_text":"⫖↰⪸57=∮((⊿⫖↰⪸3485)⩼⇪↪(⫖↰⪸1277⫰⋱⫖↰⪸16A3)≃(⫖↰⪸2140⨳⩥⨓⫖↰⪸1138)⩁⩘(⫖↰⪸A31∕⩚⫖↰⪸B9B))","cot":[{"info":"⊿⫖↰⪸3485=⫖↰⪸-11BB2","layer":3},{"info":"⫖↰⪸1277⫰⋱⫖↰⪸16A3=⫖↰⪸-124A","layer":3},{"info":"⫖↰⪸-11BB2⩼⇪↪⫖↰⪸-124A=⫖↰⪸-18059","layer":2},{"info":"⫖↰⪸2140⨳⩥⨓⫖↰⪸1138=⫖↰⪸-1004","layer":3},{"info":"⫖↰⪸A31∕⩚⫖↰⪸B9B=⫖↰⪸-A34","layer":3},{"info":"⫖↰⪸-1004⩁⩘⫖↰⪸-A34=⫖↰⪸-2A64","layer":2},{"info":"⫖↰⪸-18059≃⫖↰⪸-2A64=⫖↰⪸B5A0","layer":1},{"info":"∮⫖↰⪸B5A0=⫖↰⪸57","layer":0}]}
{"id":311,"expression_no_base_symbol":"⪹(($2049$↦)≓∲$1241$⋳⪒$5207$)⪪($8301$≠≀$6488$⫃⨇$1770$∺≝⩲$2098$)","expression":"⪹((⫖↰⪸1229↦)≓∲⫖↰⪸875⋳⪒⫖↰⪸301B)⪪(⫖↰⪸4979≠≀⫖↰⪸3908⫃⨇⫖↰⪸1036∺≝⩲⫖↰⪸126A)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":225091,"operation_count":8,"complexity_ratio":28136.375,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":2049,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1241,"base":12},"right_expr":{"type":"numeric_atoms","value":5207,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":8301,"base":12},"right_expr":{"type":"numeric_atoms","value":6488,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1770,"base":12},"right_expr":{"type":"numeric_atoms","value":2098,"base":12}}}}},"used_operators":["USyYr0JgAa","xD69zh8xqp","s1XTVnmDOJ","fFznvYxMfW","12rbrZMWeM","09Ly4LVMIf","IwW236VD4Y","KPf6cnQVty"],"dependent_operators":["tifHPKVTfV","FU0Cs4j7VP","JclMnS0uGI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=5207","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=5207, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3012","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3012, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"number node, value=8301","layer":4},{"info":"number node, value=6488","layer":4},{"info":"compute binary expreesion, left_input=8301, right_input=6488, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-16296","layer":3},{"info":"number node, value=1770","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=2098, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-16296, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-672","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-672, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪹((⫖↰⪸1229↦)≓∲⫖↰⪸875⋳⪒⫖↰⪸301B)⪪(⫖↰⪸4979≠≀⫖↰⪸3908⫃⨇⫖↰⪸1036∺≝⩲⫖↰⪸126A)=NaN","reverse_text":"NaN=⪹((⫖↰⪸1229↦)≓∲⫖↰⪸875⋳⪒⫖↰⪸301B)⪪(⫖↰⪸4979≠≀⫖↰⪸3908⫃⨇⫖↰⪸1036∺≝⩲⫖↰⪸126A)","cot":[{"info":"⫖↰⪸1229↦=NaN","layer":3},{"info":"⫖↰⪸875⋳⪒⫖↰⪸301B=⫖↰⪸-18B0","layer":3},{"info":"NaN≓∲⫖↰⪸-18B0=NaN","layer":2},{"info":"⫖↰⪸4979≠≀⫖↰⪸3908=⫖↰⪸-9520","layer":3},{"info":"⫖↰⪸1036∺≝⩲⫖↰⪸126A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-9520⫃⨇⫖↰⪸114=⫖↰⪸-480","layer":2},{"info":"NaN⪪⫖↰⪸-480=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]}
{"id":312,"expression_no_base_symbol":"⫯(∟⋨(∂($1557$∙⊟$5796$)))","expression":"⫯(∟⋨(∂(⫖↰⪸A99∙⊟⫖↰⪸3430)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1679,"operation_count":4,"complexity_ratio":419.75,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1557,"base":12},"right_expr":{"type":"numeric_atoms","value":5796,"base":12}}}}},"used_operators":["H6BK1Evt7c","ctOc4cKSDt","Uaa54Peajs","SxTAKzQCrw"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","tmPS8pqC7x","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":4},{"info":"number node, value=5796","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=5796, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30087","layer":3},{"info":"compute unary expreesion, input=30087, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫯(∟⋨(∂(⫖↰⪸A99∙⊟⫖↰⪸3430)))=NaN","reverse_text":"NaN=⫯(∟⋨(∂(⫖↰⪸A99∙⊟⫖↰⪸3430)))","cot":[{"info":"⫖↰⪸A99∙⊟⫖↰⪸3430=⫖↰⪸154B3","layer":3},{"info":"∂⫖↰⪸154B3=NaN","layer":2},{"info":"∟⋨NaN=NaN","layer":1},{"info":"⫯NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"(($2666$≀⫉$1364$⩵∡$2949$≌$3949$)⇌⫙⪟(($5317$+$4348$)⪉⨛$3276$⫸⇳$2374$))⪭($4353$⨜⨶$1005$⩺⪪$2290$≳⇉$3957$)⩦(⩷⨜⫀($1470$⇴$1170$))","expression":"((⫖↰⪸1662≀⫉⫖↰⪸958⩵∡⫖↰⪸1859≌⫖↰⪸2351)⇌⫙⪟((⫖↰⪸30B1+⫖↰⪸2624)⪉⨛⫖↰⪸1A90⫸⇳⫖↰⪸145A))⪭(⫖↰⪸2629⨜⨶⫖↰⪸6B9⩺⪪⫖↰⪸13AA≳⇉⫖↰⪸2359)⩦(⩷⨜⫀(⫖↰⪸A26⇴⫖↰⪸816))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":245396110,"operation_count":14,"complexity_ratio":17528293.57142857,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2666,"base":12},"right_expr":{"type":"numeric_atoms","value":1364,"base":12}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2949,"base":12},"right_expr":{"type":"numeric_atoms","value":3949,"base":12}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5317,"base":12},"right_expr":{"type":"numeric_atoms","value":4348,"base":12}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3276,"base":12},"right_expr":{"type":"numeric_atoms","value":2374,"base":12}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4353,"base":12},"right_expr":{"type":"numeric_atoms","value":1005,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2290,"base":12},"right_expr":{"type":"numeric_atoms","value":3957,"base":12}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1470,"base":12},"right_expr":{"type":"numeric_atoms","value":1170,"base":12}}}}},"used_operators":["j9kHMeSvPp","AFVx7xoS7T","Y7wcNGrDQJ","oZj3VtZNQx","lyWz822IDG","EWw2JM7wp4","W4YGzv6Whe","gx7XJ7hdpj","0kmYd0q39Y","uvdQJvN4PV","HiPekx5b7W","V0kx6qeWkN","CDi0ktkjQ4","4JB6nKBMSY"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","ruOEQAzv1W","nhYeJWJD5X","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2666","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=1364, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2949","layer":4},{"info":"number node, value=3949","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=3949, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"number node, value=5317","layer":4},{"info":"number node, value=4348","layer":4},{"info":"compute binary expreesion, left_input=5317, right_input=4348, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9665","layer":3},{"info":"number node, value=3276","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=2374, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9665, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=29210","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29210, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=4353","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=4353, right_input=1005, 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=-1754","layer":3},{"info":"number node, value=2290","layer":4},{"info":"number node, value=3957","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=3957, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1754, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=1170, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10774","layer":3},{"info":"compute unary expreesion, input=10774, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-10501","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10501, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', 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":12,"result_base":12,"text":"((⫖↰⪸1662≀⫉⫖↰⪸958⩵∡⫖↰⪸1859≌⫖↰⪸2351)⇌⫙⪟((⫖↰⪸30B1+⫖↰⪸2624)⪉⨛⫖↰⪸1A90⫸⇳⫖↰⪸145A))⪭(⫖↰⪸2629⨜⨶⫖↰⪸6B9⩺⪪⫖↰⪸13AA≳⇉⫖↰⪸2359)⩦(⩷⨜⫀(⫖↰⪸A26⇴⫖↰⪸816))=NaN","reverse_text":"NaN=((⫖↰⪸1662≀⫉⫖↰⪸958⩵∡⫖↰⪸1859≌⫖↰⪸2351)⇌⫙⪟((⫖↰⪸30B1+⫖↰⪸2624)⪉⨛⫖↰⪸1A90⫸⇳⫖↰⪸145A))⪭(⫖↰⪸2629⨜⨶⫖↰⪸6B9⩺⪪⫖↰⪸13AA≳⇉⫖↰⪸2359)⩦(⩷⨜⫀(⫖↰⪸A26⇴⫖↰⪸816))","cot":[{"info":"⫖↰⪸1662≀⫉⫖↰⪸958=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸1859≌⫖↰⪸2351=NaN","layer":3},{"info":"⫖↰⪸1772⩵∡NaN=NaN","layer":2},{"info":"⫖↰⪸30B1+⫖↰⪸2624=⫖↰⪸5715","layer":3},{"info":"⫖↰⪸1A90⫸⇳⫖↰⪸145A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸5715⪉⨛⫖↰⪸0=⫖↰⪸14AA2","layer":2},{"info":"NaN⇌⫙⪟⫖↰⪸14AA2=NaN","layer":1},{"info":"⫖↰⪸2629⨜⨶⫖↰⪸6B9=⫖↰⪸-1022","layer":3},{"info":"⫖↰⪸13AA≳⇉⫖↰⪸2359=NaN","layer":3},{"info":"⫖↰⪸-1022⩺⪪NaN=NaN","layer":2},{"info":"⫖↰⪸A26⇴⫖↰⪸816=⫖↰⪸629A","layer":3},{"info":"⩷⨜⫀⫖↰⪸629A=⫖↰⪸-60B1","layer":2},{"info":"NaN⩦⫖↰⪸-60B1=NaN","layer":1},{"info":"NaN⪭NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"((($2643$⪢$1868$)∣($3082$%$1001$))⨲∙)⊹∫⫚(($2360$⩧⪆$3520$⪄$1556$⨟⋌⩍$5589$)∠↢$1944$≧⫂∧$1796$⪔($2844$⪉⨛$3782$))","expression":"(((⫖↰⪸1643⪢⫖↰⪸10B8)∣(⫖↰⪸194A%⫖↰⪸6B5))⨲∙)⊹∫⫚((⫖↰⪸1448⩧⪆⫖↰⪸2054⪄⫖↰⪸A98⨟⋌⩍⫖↰⪸3299)∠↢⫖↰⪸1160≧⫂∧⫖↰⪸1058⪔(⫖↰⪸1790⪉⨛⫖↰⪸2232))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8882,"operation_count":12,"complexity_ratio":740.1666666666666,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2643,"base":12},"right_expr":{"type":"numeric_atoms","value":1868,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3082,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2360,"base":12},"right_expr":{"type":"numeric_atoms","value":3520,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1556,"base":12},"right_expr":{"type":"numeric_atoms","value":5589,"base":12}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1944,"base":12},"right_expr":{"type":"numeric_atoms","value":1796,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2844,"base":12},"right_expr":{"type":"numeric_atoms","value":3782,"base":12}}}}},"used_operators":["uWAJUKEvyW","cRahaglYVE","PPChnnnBFF","dWAJyo7jo9","k8jYdgA6NY","KbjG8mgYpV","SUmda5xLS4","Ikt5ks8PT7","rGHVDoGpnC","GjBEYRfMaF","Ph9nP6C5qx","EWw2JM7wp4"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eewbuw0ToL","t8gj7n24qd","Tcnh7f0tEr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⫖↰⪸-138","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1868, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3082","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=1001, op_id = k8jYdgA6NY binary_op_definition= 'None', output=79","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=79, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"number node, value=2360","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=3520, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3520","layer":3},{"info":"number node, value=1556","layer":4},{"info":"number node, value=5589","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=5589, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3520, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1944","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=1796, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1323","layer":3},{"info":"number node, value=2844","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=3782, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4965","layer":3},{"info":"compute binary expreesion, left_input=1323, right_input=4965, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=450, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-21134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21134, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-188","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1643⪢⫖↰⪸10B8)∣(⫖↰⪸194A%⫖↰⪸6B5))⨲∙)⊹∫⫚((⫖↰⪸1448⩧⪆⫖↰⪸2054⪄⫖↰⪸A98⨟⋌⩍⫖↰⪸3299)∠↢⫖↰⪸1160≧⫂∧⫖↰⪸1058⪔(⫖↰⪸1790⪉⨛⫖↰⪸2232))=⫖↰⪸-138","reverse_text":"⫖↰⪸-138=(((⫖↰⪸1643⪢⫖↰⪸10B8)∣(⫖↰⪸194A%⫖↰⪸6B5))⨲∙)⊹∫⫚((⫖↰⪸1448⩧⪆⫖↰⪸2054⪄⫖↰⪸A98⨟⋌⩍⫖↰⪸3299)∠↢⫖↰⪸1160≧⫂∧⫖↰⪸1058⪔(⫖↰⪸1790⪉⨛⫖↰⪸2232))","cot":[{"info":"⫖↰⪸1643⪢⫖↰⪸10B8=NaN","layer":3},{"info":"⫖↰⪸194A%⫖↰⪸6B5=⫖↰⪸67","layer":3},{"info":"NaN∣⫖↰⪸67=NaN","layer":2},{"info":"NaN⨲∙=NaN","layer":1},{"info":"⫖↰⪸1448⩧⪆⫖↰⪸2054=⫖↰⪸-2054","layer":3},{"info":"⫖↰⪸A98⨟⋌⩍⫖↰⪸3299=NaN","layer":3},{"info":"⫖↰⪸-2054⪄NaN=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸1160≧⫂∧⫖↰⪸1058=⫖↰⪸923","layer":3},{"info":"⫖↰⪸1790⪉⨛⫖↰⪸2232=⫖↰⪸2A59","layer":3},{"info":"⫖↰⪸923⪔⫖↰⪸2A59=⫖↰⪸316","layer":2},{"info":"⫖↰⪸2377∠↢⫖↰⪸316=⫖↰⪸-10292","layer":1},{"info":"NaN⊹∫⫚⫖↰⪸-10292=⫖↰⪸-138","layer":0}]}
{"id":315,"expression_no_base_symbol":"-(⨦⪝$1801$)≁($1061$↓$1127$)⨐⩸⫘($1106$⫒⫫$4461$)↞⋁(⇠$2996$)","expression":"-(⨦⪝⫖↰⪸1061)≁(⫖↰⪸745↓⫖↰⪸79B)⨐⩸⫘(⫖↰⪸782⫒⫫⫖↰⪸26B9)↞⋁(⇠⫖↰⪸1898)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16204,"operation_count":8,"complexity_ratio":2025.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1801,"base":12}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":1127,"base":12}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1106,"base":12},"right_expr":{"type":"numeric_atoms","value":4461,"base":12}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2996,"base":12}}}}},"used_operators":["t8gj7n24qd","fu6greOZ01","8N2wDY1A35","SUjycxNXIR","Af076pWI7l","RqrPlJkxDo","6Ko8hGgeMq","18saOjeKKm"],"dependent_operators":["3ViojmjbAp","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1801","layer":4},{"info":"compute unary expreesion, input=1801, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1127, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=-134, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-14241","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=4461","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=4461, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2996","layer":4},{"info":"compute unary expreesion, input=2996, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2754","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2754, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14241, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"-(⨦⪝⫖↰⪸1061)≁(⫖↰⪸745↓⫖↰⪸79B)⨐⩸⫘(⫖↰⪸782⫒⫫⫖↰⪸26B9)↞⋁(⇠⫖↰⪸1898)=NaN","reverse_text":"NaN=-(⨦⪝⫖↰⪸1061)≁(⫖↰⪸745↓⫖↰⪸79B)⨐⩸⫘(⫖↰⪸782⫒⫫⫖↰⪸26B9)↞⋁(⇠⫖↰⪸1898)","cot":[{"info":"⨦⪝⫖↰⪸1061=⫖↰⪸-1110","layer":3},{"info":"⫖↰⪸745↓⫖↰⪸79B=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸-1110≁⫖↰⪸-B2=⫖↰⪸-82A9","layer":2},{"info":"⫖↰⪸782⫒⫫⫖↰⪸26B9=NaN","layer":3},{"info":"⇠⫖↰⪸1898=⫖↰⪸-1716","layer":3},{"info":"NaN↞⋁⫖↰⪸-1716=NaN","layer":2},{"info":"⫖↰⪸-82A9⨐⩸⫘NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":316,"expression_no_base_symbol":"(⫓⪴(↞≼$8990$)∘$4401$⋥⋵⩄$3452$)⨎(($2560$≝⊰⇂)⇡⇂($5355$-$4115$)∷($4995$≴⪞⇿$3495$⫏⊷))","expression":"(⫓⪴(↞≼⫖↰⪸5252)∘⫖↰⪸2669⋥⋵⩄⫖↰⪸1BB8)⨎((⫖↰⪸1594≝⊰⇂)⇡⇂(⫖↰⪸3123-⫖↰⪸246B)∷(⫖↰⪸2A83≴⪞⇿⫖↰⪸2033⫏⊷))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":85077,"operation_count":11,"complexity_ratio":7734.272727272727,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":8990,"base":12}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4401,"base":12},"right_expr":{"type":"numeric_atoms","value":3452,"base":12}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":2560,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5355,"base":12},"right_expr":{"type":"numeric_atoms","value":4115,"base":12}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4995,"base":12},"right_expr":{"type":"numeric_atoms","value":3495,"base":12}}}}},"used_operators":["rJVOvQCfKK","eLxqMNBOBk","Z5m6OM72h2","DE7zCoGJt9","7t3wd0Fuz7","D3AQDKkPcf","UMwdvZNt44","htSmYCowi5","rysDP5nf3Z","dcShxvzhyw","lvlrscuwVU"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","DlLNRPXxWL","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8990","layer":4},{"info":"compute unary expreesion, input=8990, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=71506","layer":3},{"info":"number node, value=4401","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=3452, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=71506, right_input=113, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-71126","layer":2},{"info":"compute unary expreesion, input=-71126, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"number node, value=2560","layer":4},{"info":"compute unary expreesion, input=2560, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=5355","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=4115, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1240","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1240, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=219356","layer":2},{"info":"number node, value=4995","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=4995, right_input=3495, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=44594802","layer":3},{"info":"compute unary expreesion, input=44594802, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=219356, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, 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":12,"result_base":12,"text":"(⫓⪴(↞≼⫖↰⪸5252)∘⫖↰⪸2669⋥⋵⩄⫖↰⪸1BB8)⨎((⫖↰⪸1594≝⊰⇂)⇡⇂(⫖↰⪸3123-⫖↰⪸246B)∷(⫖↰⪸2A83≴⪞⇿⫖↰⪸2033⫏⊷))=NaN","reverse_text":"NaN=(⫓⪴(↞≼⫖↰⪸5252)∘⫖↰⪸2669⋥⋵⩄⫖↰⪸1BB8)⨎((⫖↰⪸1594≝⊰⇂)⇡⇂(⫖↰⪸3123-⫖↰⪸246B)∷(⫖↰⪸2A83≴⪞⇿⫖↰⪸2033⫏⊷))","cot":[{"info":"↞≼⫖↰⪸5252=⫖↰⪸3546A","layer":3},{"info":"⫖↰⪸2669⋥⋵⩄⫖↰⪸1BB8=⫖↰⪸95","layer":3},{"info":"⫖↰⪸3546A∘⫖↰⪸95=⫖↰⪸-351B2","layer":2},{"info":"⫓⪴⫖↰⪸-351B2=Inf","layer":1},{"info":"⫖↰⪸1594≝⊰⇂=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3123-⫖↰⪸246B=⫖↰⪸874","layer":3},{"info":"⫖↰⪸0⇡⇂⫖↰⪸874=⫖↰⪸A6B38","layer":2},{"info":"⫖↰⪸2A83≴⪞⇿⫖↰⪸2033=⫖↰⪸12B27216","layer":3},{"info":"⫖↰⪸12B27216⫏⊷=NaN","layer":2},{"info":"⫖↰⪸A6B38∷NaN=NaN","layer":1},{"info":"Inf⨎NaN=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"($3662$↹⊜$3255$)⨿$1007$⇻⋧≁$2028$≝⊿(↸⊣($4478$⇴$1148$))⋝⋈⪟(($2012$⫏⊷)⨹)≨(($2110$⫥∨⫟$3040$)≠≀(⊤⊝$2551$))","expression":"(⫖↰⪸2152↹⊜⫖↰⪸1A73)⨿⫖↰⪸6BB⇻⋧≁⫖↰⪸1210≝⊿(↸⊣(⫖↰⪸2712⇴⫖↰⪸7B8))⋝⋈⪟((⫖↰⪸11B8⫏⊷)⨹)≨((⫖↰⪸127A⫥∨⫟⫖↰⪸1914)≠≀(⊤⊝⫖↰⪸1587))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28543,"operation_count":13,"complexity_ratio":2195.6153846153848,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3662,"base":12},"right_expr":{"type":"numeric_atoms","value":3255,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":2028,"base":12}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4478,"base":12},"right_expr":{"type":"numeric_atoms","value":1148,"base":12}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2012,"base":12}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2110,"base":12},"right_expr":{"type":"numeric_atoms","value":3040,"base":12}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2551,"base":12}}}}},"used_operators":["2DDjHMKMc0","OKKcZfAt5B","abYXlopdE0","9bazX3JMtO","jCPkEVoL5K","wztAlM01eG","4JB6nKBMSY","0KMCeP1Jsh","UnCoSGIALn","dcShxvzhyw","IwW236VD4Y","KYD54nUTWz","rXAclfmB4M"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","sdazOOVcIp","NTOWxs364D","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","mp7IySMOzn","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3662","layer":4},{"info":"number node, value=3255","layer":4},{"info":"compute binary expreesion, left_input=3662, right_input=3255, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-5792","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2028, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-5792, right_input=-447, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=4478","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=4478, right_input=1148, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=28778","layer":3},{"info":"compute unary expreesion, input=28778, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-28491","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-28491, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=56382","layer":1},{"info":"number node, value=2012","layer":4},{"info":"compute unary expreesion, input=2012, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"number node, value=2110","layer":4},{"info":"number node, value=3040","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=3040, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2551","layer":4},{"info":"compute unary expreesion, input=2551, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=3804","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3804, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=56382, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2152↹⊜⫖↰⪸1A73)⨿⫖↰⪸6BB⇻⋧≁⫖↰⪸1210≝⊿(↸⊣(⫖↰⪸2712⇴⫖↰⪸7B8))⋝⋈⪟((⫖↰⪸11B8⫏⊷)⨹)≨((⫖↰⪸127A⫥∨⫟⫖↰⪸1914)≠≀(⊤⊝⫖↰⪸1587))=NaN","reverse_text":"NaN=(⫖↰⪸2152↹⊜⫖↰⪸1A73)⨿⫖↰⪸6BB⇻⋧≁⫖↰⪸1210≝⊿(↸⊣(⫖↰⪸2712⇴⫖↰⪸7B8))⋝⋈⪟((⫖↰⪸11B8⫏⊷)⨹)≨((⫖↰⪸127A⫥∨⫟⫖↰⪸1914)≠≀(⊤⊝⫖↰⪸1587))","cot":[{"info":"⫖↰⪸2152↹⊜⫖↰⪸1A73=⫖↰⪸-3428","layer":3},{"info":"⫖↰⪸6BB⇻⋧≁⫖↰⪸1210=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-3428⨿⫖↰⪸-313=⫖↰⪸57","layer":2},{"info":"⫖↰⪸2712⇴⫖↰⪸7B8=⫖↰⪸147A2","layer":3},{"info":"↸⊣⫖↰⪸147A2=⫖↰⪸-145A3","layer":2},{"info":"⫖↰⪸57≝⊿⫖↰⪸-145A3=⫖↰⪸28766","layer":1},{"info":"⫖↰⪸11B8⫏⊷=⫖↰⪸-584","layer":3},{"info":"⫖↰⪸-584⨹=NaN","layer":2},{"info":"⫖↰⪸127A⫥∨⫟⫖↰⪸1914=NaN","layer":3},{"info":"⊤⊝⫖↰⪸1587=⫖↰⪸2250","layer":3},{"info":"NaN≠≀⫖↰⪸2250=NaN","layer":2},{"info":"NaN≨NaN=NaN","layer":1},{"info":"⫖↰⪸28766⋝⋈⪟NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"((($6148$⪎⩰)⪓⨏)⨭⪣((⫶⊄≣$3050$)⋅⇍($2232$-$1080$)))⨝⩣∺","expression":"(((⫖↰⪸3684⪎⩰)⪓⨏)⨭⪣((⫶⊄≣⫖↰⪸1922)⋅⇍(⫖↰⪸1360-⫖↰⪸760)))⨝⩣∺","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3723,"operation_count":7,"complexity_ratio":531.8571428571429,"tree":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":6148,"base":12}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3050,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2232,"base":12},"right_expr":{"type":"numeric_atoms","value":1080,"base":12}}}}},"used_operators":["ancx8kZcWl","kn8WO9XteQ","4X9JU4Jbn6","2ufhKmSs5H","AdZkA7nFnk","wxb3vTeyAj","rysDP5nf3Z"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6148","layer":4},{"info":"compute unary expreesion, input=6148, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute unary expreesion, input=-34, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=3050","layer":4},{"info":"compute unary expreesion, input=3050, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=167496589","layer":3},{"info":"number node, value=2232","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=2232, right_input=1080, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1152","layer":3},{"info":"compute binary expreesion, left_input=167496589, right_input=1152, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸3684⪎⩰)⪓⨏)⨭⪣((⫶⊄≣⫖↰⪸1922)⋅⇍(⫖↰⪸1360-⫖↰⪸760)))⨝⩣∺=NaN","reverse_text":"NaN=(((⫖↰⪸3684⪎⩰)⪓⨏)⨭⪣((⫶⊄≣⫖↰⪸1922)⋅⇍(⫖↰⪸1360-⫖↰⪸760)))⨝⩣∺","cot":[{"info":"⫖↰⪸3684⪎⩰=⫖↰⪸-2A","layer":3},{"info":"⫖↰⪸-2A⪓⨏=NaN","layer":2},{"info":"⫶⊄≣⫖↰⪸1922=⫖↰⪸48116A91","layer":3},{"info":"⫖↰⪸1360-⫖↰⪸760=⫖↰⪸800","layer":3},{"info":"⫖↰⪸48116A91⋅⇍⫖↰⪸800=⫖↰⪸-1A","layer":2},{"info":"NaN⨭⪣⫖↰⪸-1A=NaN","layer":1},{"info":"NaN⨝⩣∺=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"(↸⊣(⇐$4557$)∌($1591$≧⫂∧$2414$))⩁⩘($6165$⪥$1504$∇⊂⋱(⊁⨺$2523$)⪔(⩷($1043$⊋≦⊧$1381$)))","expression":"(↸⊣(⇐⫖↰⪸2779)∌(⫖↰⪸B07≧⫂∧⫖↰⪸1492))⩁⩘(⫖↰⪸3699⪥⫖↰⪸A54∇⊂⋱(⊁⨺⫖↰⪸1563)⪔(⩷(⫖↰⪸72B⊋≦⊧⫖↰⪸971)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26389,"operation_count":11,"complexity_ratio":2399.0,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":4557,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1591,"base":12},"right_expr":{"type":"numeric_atoms","value":2414,"base":12}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6165,"base":12},"right_expr":{"type":"numeric_atoms","value":1504,"base":12}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2523,"base":12}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1043,"base":12},"right_expr":{"type":"numeric_atoms","value":1381,"base":12}}}}},"used_operators":["gub5Cegaqo","wztAlM01eG","8cLx32lpNA","nmZMaaE0Q9","Ph9nP6C5qx","GjBEYRfMaF","nhYeJWJD5X","QbnwKVWMIQ","PxiHyQbrIp","1h0rLqGiFr","oRDoc9rAEX"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⫖↰⪸1710","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4557","layer":4},{"info":"compute unary expreesion, input=4557, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=14568","layer":3},{"info":"number node, value=1591","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=2414, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1941","layer":3},{"info":"compute binary expreesion, left_input=14568, right_input=1941, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1941","layer":2},{"info":"compute unary expreesion, input=-1941, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=3882","layer":1},{"info":"number node, value=6165","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=6165, right_input=1504, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29312","layer":3},{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=29312, right_input=160, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=58078","layer":2},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1381, 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=-2184","layer":3},{"info":"compute unary expreesion, input=-2184, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=26129","layer":2},{"info":"compute binary expreesion, left_input=58078, right_input=26129, 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=3882, right_input=450, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=2748","layer":0}],"base":12,"result_base":12,"text":"(↸⊣(⇐⫖↰⪸2779)∌(⫖↰⪸B07≧⫂∧⫖↰⪸1492))⩁⩘(⫖↰⪸3699⪥⫖↰⪸A54∇⊂⋱(⊁⨺⫖↰⪸1563)⪔(⩷(⫖↰⪸72B⊋≦⊧⫖↰⪸971)))=⫖↰⪸1710","reverse_text":"⫖↰⪸1710=(↸⊣(⇐⫖↰⪸2779)∌(⫖↰⪸B07≧⫂∧⫖↰⪸1492))⩁⩘(⫖↰⪸3699⪥⫖↰⪸A54∇⊂⋱(⊁⨺⫖↰⪸1563)⪔(⩷(⫖↰⪸72B⊋≦⊧⫖↰⪸971)))","cot":[{"info":"⇐⫖↰⪸2779=⫖↰⪸8520","layer":3},{"info":"⫖↰⪸B07≧⫂∧⫖↰⪸1492=⫖↰⪸1159","layer":3},{"info":"⫖↰⪸8520∌⫖↰⪸1159=⫖↰⪸-1159","layer":2},{"info":"↸⊣⫖↰⪸-1159=⫖↰⪸22B6","layer":1},{"info":"⫖↰⪸3699⪥⫖↰⪸A54=⫖↰⪸14B68","layer":3},{"info":"⊁⨺⫖↰⪸1563=⫖↰⪸114","layer":3},{"info":"⫖↰⪸14B68∇⊂⋱⫖↰⪸114=⫖↰⪸2973A","layer":2},{"info":"⫖↰⪸72B⊋≦⊧⫖↰⪸971=⫖↰⪸-1320","layer":3},{"info":"⩷⫖↰⪸-1320=⫖↰⪸13155","layer":2},{"info":"⫖↰⪸2973A⪔⫖↰⪸13155=⫖↰⪸316","layer":1},{"info":"⫖↰⪸22B6⩁⩘⫖↰⪸316=⫖↰⪸1710","layer":0}]}
{"id":320,"expression_no_base_symbol":"⩩(≑⋹($1272$⫘$2565$⪭≯$3730$⨟⋌⩍$1627$))","expression":"⩩(≑⋹(⫖↰⪸8A0⫘⫖↰⪸1599⪭≯⫖↰⪸21AA⨟⋌⩍⫖↰⪸B37))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2689,"operation_count":5,"complexity_ratio":537.8,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1272,"base":12},"right_expr":{"type":"numeric_atoms","value":2565,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3730,"base":12},"right_expr":{"type":"numeric_atoms","value":1627,"base":12}}}}},"used_operators":["kMhfGuqI2H","6B9nyZLogK","XAx5wpdLa6","48vC8HMD2b","rGHVDoGpnC"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2565, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1500277","layer":3},{"info":"number node, value=3730","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=1627, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1500277, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩩(≑⋹(⫖↰⪸8A0⫘⫖↰⪸1599⪭≯⫖↰⪸21AA⨟⋌⩍⫖↰⪸B37))=NaN","reverse_text":"NaN=⩩(≑⋹(⫖↰⪸8A0⫘⫖↰⪸1599⪭≯⫖↰⪸21AA⨟⋌⩍⫖↰⪸B37))","cot":[{"info":"⫖↰⪸8A0⫘⫖↰⪸1599=⫖↰⪸604271","layer":3},{"info":"⫖↰⪸21AA⨟⋌⩍⫖↰⪸B37=NaN","layer":3},{"info":"⫖↰⪸604271⪭≯NaN=NaN","layer":2},{"info":"≑⋹NaN=NaN","layer":1},{"info":"⩩NaN=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"(⪸($6293$≒∊$4227$)∳⫺($6745$∈))⇔⨋","expression":"(⪸(⫖↰⪸3785≒∊⫖↰⪸2543)∳⫺(⫖↰⪸3AA1∈))⇔⨋","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":116,"operation_count":5,"complexity_ratio":23.2,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":6293,"base":12},"right_expr":{"type":"numeric_atoms","value":4227,"base":12}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":6745,"base":12}}}}},"used_operators":["uBihLCJcMX","86A5ENbKR9","AzXXKTstlj","5KTvxBwnZo","ztP7wcbY7m"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr"],"result":"⫖↰⪸12B807A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6293","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=6293, right_input=4227, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5809","layer":3},{"info":"number node, value=6745","layer":4},{"info":"compute unary expreesion, input=6745, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=19564","layer":3},{"info":"compute binary expreesion, left_input=-5809, right_input=19564, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-62302","layer":2},{"info":"compute unary expreesion, input=-62302, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=621122","layer":1},{"info":"compute unary expreesion, input=621122, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=3725662","layer":0}],"base":12,"result_base":12,"text":"(⪸(⫖↰⪸3785≒∊⫖↰⪸2543)∳⫺(⫖↰⪸3AA1∈))⇔⨋=⫖↰⪸12B807A","reverse_text":"⫖↰⪸12B807A=(⪸(⫖↰⪸3785≒∊⫖↰⪸2543)∳⫺(⫖↰⪸3AA1∈))⇔⨋","cot":[{"info":"⫖↰⪸3785≒∊⫖↰⪸2543=⫖↰⪸-3441","layer":3},{"info":"⫖↰⪸3AA1∈=⫖↰⪸B3A4","layer":3},{"info":"⫖↰⪸-3441∳⫺⫖↰⪸B3A4=⫖↰⪸-3007A","layer":2},{"info":"⪸⫖↰⪸-3007A=⫖↰⪸25B542","layer":1},{"info":"⫖↰⪸25B542⇔⨋=⫖↰⪸12B807A","layer":0}]}
{"id":322,"expression_no_base_symbol":"($2841$⋥⋵⩄$2518$∖$4786$⩌⋺$2557$)⫗⊷⫓($1868$∌↝$1832$⊉≛↸(⊢≑≆$1285$))⇆⨓≜","expression":"(⫖↰⪸1789⋥⋵⩄⫖↰⪸155A∖⫖↰⪸292A⩌⋺⫖↰⪸1591)⫗⊷⫓(⫖↰⪸10B8∌↝⫖↰⪸1088⊉≛↸(⊢≑≆⫖↰⪸8B1))⇆⨓≜","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":101278,"operation_count":8,"complexity_ratio":12659.75,"tree":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2841,"base":12},"right_expr":{"type":"numeric_atoms","value":2518,"base":12}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4786,"base":12},"right_expr":{"type":"numeric_atoms","value":2557,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1868,"base":12},"right_expr":{"type":"numeric_atoms","value":1832,"base":12}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1285,"base":12}}}}},"used_operators":["KvvgdUaMHJ","zashukvMKz","tXD093vOjl","7t3wd0Fuz7","g7Hmc5v1ko","DZ8iAZOCBD","9Isq31Ruls","27wFxooxGf"],"dependent_operators":["Uaa54Peajs","KYD54nUTWz","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2841","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=2518, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=4786","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=4786, right_input=2557, 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=-7464","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-7464, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=6","layer":2},{"info":"number node, value=1868","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=1832, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=5592","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5592, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1789⋥⋵⩄⫖↰⪸155A∖⫖↰⪸292A⩌⋺⫖↰⪸1591)⫗⊷⫓(⫖↰⪸10B8∌↝⫖↰⪸1088⊉≛↸(⊢≑≆⫖↰⪸8B1))⇆⨓≜=NaN","reverse_text":"NaN=(⫖↰⪸1789⋥⋵⩄⫖↰⪸155A∖⫖↰⪸292A⩌⋺⫖↰⪸1591)⫗⊷⫓(⫖↰⪸10B8∌↝⫖↰⪸1088⊉≛↸(⊢≑≆⫖↰⪸8B1))⇆⨓≜","cot":[{"info":"⫖↰⪸1789⋥⋵⩄⫖↰⪸155A=⫖↰⪸95","layer":3},{"info":"⫖↰⪸292A⩌⋺⫖↰⪸1591=⫖↰⪸-43A0","layer":3},{"info":"⫖↰⪸95∖⫖↰⪸-43A0=⫖↰⪸6","layer":2},{"info":"⫖↰⪸10B8∌↝⫖↰⪸1088=⫖↰⪸0","layer":3},{"info":"⊢≑≆⫖↰⪸8B1=⫖↰⪸32A0","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸32A0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸6⫗⊷⫓⫖↰⪸0=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸-B2⇆⨓≜=NaN","layer":0}]}
{"id":323,"expression_no_base_symbol":"⩦⊞(($2115$↸$2338$)⨫⇇↔($5757$⫌⩉⩟$1004$)⩵∡($1508$⨳⩥⨓$1114$∀⋜↑))","expression":"⩦⊞((⫖↰⪸1283↸⫖↰⪸142A)⨫⇇↔(⫖↰⪸33B9⫌⩉⩟⫖↰⪸6B8)⩵∡(⫖↰⪸A58⨳⩥⨓⫖↰⪸78A∀⋜↑))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6956,"operation_count":7,"complexity_ratio":993.7142857142857,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2115,"base":12},"right_expr":{"type":"numeric_atoms","value":2338,"base":12}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5757,"base":12},"right_expr":{"type":"numeric_atoms","value":1004,"base":12}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1508,"base":12},"right_expr":{"type":"numeric_atoms","value":1114,"base":12}}}}},"used_operators":["u7fv1HBiaC","Y7wcNGrDQJ","LXhwmt4mBO","1eCjFl0mb9","XIIwhv8d0m","KipPnG1M2J","nCS4ZIUYfx"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-330","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2115","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=2338, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2115","layer":3},{"info":"number node, value=5757","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=5757, right_input=1004, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=2115, right_input=-50, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1508","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=1114, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-394","layer":3},{"info":"compute unary expreesion, input=-394, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-1666","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-1666, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-206","layer":1},{"info":"compute unary expreesion, input=-206, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-468","layer":0}],"base":12,"result_base":12,"text":"⩦⊞((⫖↰⪸1283↸⫖↰⪸142A)⨫⇇↔(⫖↰⪸33B9⫌⩉⩟⫖↰⪸6B8)⩵∡(⫖↰⪸A58⨳⩥⨓⫖↰⪸78A∀⋜↑))=⫖↰⪸-330","reverse_text":"⫖↰⪸-330=⩦⊞((⫖↰⪸1283↸⫖↰⪸142A)⨫⇇↔(⫖↰⪸33B9⫌⩉⩟⫖↰⪸6B8)⩵∡(⫖↰⪸A58⨳⩥⨓⫖↰⪸78A∀⋜↑))","cot":[{"info":"⫖↰⪸1283↸⫖↰⪸142A=⫖↰⪸1283","layer":3},{"info":"⫖↰⪸33B9⫌⩉⩟⫖↰⪸6B8=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸1283⨫⇇↔⫖↰⪸-42=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸A58⨳⩥⨓⫖↰⪸78A=⫖↰⪸-28A","layer":3},{"info":"⫖↰⪸-28A∀⋜↑=⫖↰⪸-B6A","layer":2},{"info":"⫖↰⪸-37B⩵∡⫖↰⪸-B6A=⫖↰⪸-152","layer":1},{"info":"⩦⊞⫖↰⪸-152=⫖↰⪸-330","layer":0}]}
{"id":324,"expression_no_base_symbol":"((($2047$⊍⩺⋍$4304$)⫢⨠$6074$⪃⊛⇣$1429$)⪥($1571$≀⫉$1615$≃(∓$5715$)))⇡⇂(((⫡⇟⇯$6993$)≹⇙⪍(⇖⫷⫕$1250$))⨿($4172$⇂≾⫗$5136$∝$1128$↞⋁$1268$))","expression":"(((⫖↰⪸1227⊍⩺⋍⫖↰⪸25A8)⫢⨠⫖↰⪸3622⪃⊛⇣⫖↰⪸9B1)⪥(⫖↰⪸AAB≀⫉⫖↰⪸B27≃(∓⫖↰⪸3383)))⇡⇂(((⫡⇟⇯⫖↰⪸4069)≹⇙⪍(⇖⫷⫕⫖↰⪸882))⨿(⫖↰⪸24B8⇂≾⫗⫖↰⪸2B80∝⫖↰⪸7A0↞⋁⫖↰⪸898))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3818,"operation_count":15,"complexity_ratio":254.53333333333333,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2047,"base":12},"right_expr":{"type":"numeric_atoms","value":4304,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6074,"base":12},"right_expr":{"type":"numeric_atoms","value":1429,"base":12}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1571,"base":12},"right_expr":{"type":"numeric_atoms","value":1615,"base":12}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":5715,"base":12}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":6993,"base":12}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1250,"base":12}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4172,"base":12},"right_expr":{"type":"numeric_atoms","value":5136,"base":12}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1128,"base":12},"right_expr":{"type":"numeric_atoms","value":1268,"base":12}}}}},"used_operators":["UMwdvZNt44","QbnwKVWMIQ","xlXykHWxX1","OXDGMFPWZM","rrgAzCduG9","YbVcJGFEVW","oZj3VtZNQx","OwUj7dcsQK","abYXlopdE0","AHs5Up7iyr","qWUSsah53b","UHmRx3INFg","cTDWOvIxvz","aBQ6xLxuTc","RqrPlJkxDo"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","dWAJyo7jo9","DZ8iAZOCBD","P8v4zCKN1o","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","7j4O788W3g","W4YGzv6Whe","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2047","layer":4},{"info":"number node, value=4304","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=4304, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=6074","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=6074, right_input=1429, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1571","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=1615, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=5715","layer":4},{"info":"compute unary expreesion, input=5715, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-90597","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-90597, 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=362348","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=362348, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":1},{"info":"number node, value=6993","layer":4},{"info":"compute unary expreesion, input=6993, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=14854","layer":3},{"info":"number node, value=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=14854, right_input=2822, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4172","layer":4},{"info":"number node, value=5136","layer":4},{"info":"compute binary expreesion, left_input=4172, right_input=5136, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1268, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 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":12,"result_base":12,"text":"(((⫖↰⪸1227⊍⩺⋍⫖↰⪸25A8)⫢⨠⫖↰⪸3622⪃⊛⇣⫖↰⪸9B1)⪥(⫖↰⪸AAB≀⫉⫖↰⪸B27≃(∓⫖↰⪸3383)))⇡⇂(((⫡⇟⇯⫖↰⪸4069)≹⇙⪍(⇖⫷⫕⫖↰⪸882))⨿(⫖↰⪸24B8⇂≾⫗⫖↰⪸2B80∝⫖↰⪸7A0↞⋁⫖↰⪸898))=NaN","reverse_text":"NaN=(((⫖↰⪸1227⊍⩺⋍⫖↰⪸25A8)⫢⨠⫖↰⪸3622⪃⊛⇣⫖↰⪸9B1)⪥(⫖↰⪸AAB≀⫉⫖↰⪸B27≃(∓⫖↰⪸3383)))⇡⇂(((⫡⇟⇯⫖↰⪸4069)≹⇙⪍(⇖⫷⫕⫖↰⪸882))⨿(⫖↰⪸24B8⇂≾⫗⫖↰⪸2B80∝⫖↰⪸7A0↞⋁⫖↰⪸898))","cot":[{"info":"⫖↰⪸1227⊍⩺⋍⫖↰⪸25A8=NaN","layer":3},{"info":"⫖↰⪸3622⪃⊛⇣⫖↰⪸9B1=⫖↰⪸86A","layer":3},{"info":"NaN⫢⨠⫖↰⪸86A=NaN","layer":2},{"info":"⫖↰⪸AAB≀⫉⫖↰⪸B27=⫖↰⪸1772","layer":3},{"info":"∓⫖↰⪸3383=⫖↰⪸-44519","layer":3},{"info":"⫖↰⪸1772≃⫖↰⪸-44519=⫖↰⪸155838","layer":2},{"info":"NaN⪥⫖↰⪸155838=NaN","layer":1},{"info":"⫡⇟⇯⫖↰⪸4069=⫖↰⪸871A","layer":3},{"info":"⇖⫷⫕⫖↰⪸882=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸871A≹⇙⪍⫖↰⪸1772=NaN","layer":2},{"info":"⫖↰⪸24B8⇂≾⫗⫖↰⪸2B80=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸7A0↞⋁⫖↰⪸898=NaN","layer":3},{"info":"⫖↰⪸-484∝NaN=NaN","layer":2},{"info":"NaN⨿NaN=⫖↰⪸57","layer":1},{"info":"NaN⇡⇂⫖↰⪸57=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"(($2296$⨰$2872$⩚⊴⇥(⪡⇡≛$1135$))⋥⋵⩄($3873$⊕∕$1977$⩇∃⫛($2642$⊹∫⫚$3232$)))⇂≾⫗(($1785$∊∟⩊$5295$/$3008$∖$2361$)⨻⩈⩔(∮($6554$↱$2449$)))","expression":"((⫖↰⪸13B4⨰⫖↰⪸17B4⩚⊴⇥(⪡⇡≛⫖↰⪸7A7))⋥⋵⩄(⫖↰⪸22A9⊕∕⫖↰⪸1189⩇∃⫛(⫖↰⪸1642⊹∫⫚⫖↰⪸1A54)))⇂≾⫗((⫖↰⪸1049∊∟⩊⫖↰⪸3093/⫖↰⪸18A8∖⫖↰⪸1449)⨻⩈⩔(∮(⫖↰⪸3962↱⫖↰⪸1501)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1195,"operation_count":14,"complexity_ratio":85.35714285714286,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2296,"base":12},"right_expr":{"type":"numeric_atoms","value":2872,"base":12}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1135,"base":12}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3873,"base":12},"right_expr":{"type":"numeric_atoms","value":1977,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2642,"base":12},"right_expr":{"type":"numeric_atoms","value":3232,"base":12}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1785,"base":12},"right_expr":{"type":"numeric_atoms","value":5295,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3008,"base":12},"right_expr":{"type":"numeric_atoms","value":2361,"base":12}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6554,"base":12},"right_expr":{"type":"numeric_atoms","value":2449,"base":12}}}}},"used_operators":["aBQ6xLxuTc","7t3wd0Fuz7","NTOWxs364D","eewbuw0ToL","qL4PrbW1Dq","1aApVXNlOP","9cloC0Ngie","uWAJUKEvyW","nEsXyWgiOK","XhwjNDsVaA","ddLRYrp01A","tXD093vOjl","CqXKPLVYql","SR5kFfdi6N"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2296","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=2872, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-566","layer":3},{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1135","layer":3},{"info":"compute binary expreesion, left_input=-566, right_input=-1135, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1580","layer":2},{"info":"number node, value=3873","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=3873, right_input=1977, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3873","layer":3},{"info":"number node, value=2642","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=3232, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-140","layer":3},{"info":"compute binary expreesion, left_input=3873, right_input=-140, 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=-3540","layer":2},{"info":"compute binary expreesion, left_input=1580, right_input=-3540, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=30696","layer":1},{"info":"number node, value=1785","layer":4},{"info":"number node, value=5295","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=5295, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5295","layer":3},{"info":"number node, value=3008","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=2361, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5295, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6554","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=6554, right_input=2449, 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=-6825","layer":3},{"info":"compute unary expreesion, input=-6825, 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=-244961","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244961, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=30696, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸13B4⨰⫖↰⪸17B4⩚⊴⇥(⪡⇡≛⫖↰⪸7A7))⋥⋵⩄(⫖↰⪸22A9⊕∕⫖↰⪸1189⩇∃⫛(⫖↰⪸1642⊹∫⫚⫖↰⪸1A54)))⇂≾⫗((⫖↰⪸1049∊∟⩊⫖↰⪸3093/⫖↰⪸18A8∖⫖↰⪸1449)⨻⩈⩔(∮(⫖↰⪸3962↱⫖↰⪸1501)))=NaN","reverse_text":"NaN=((⫖↰⪸13B4⨰⫖↰⪸17B4⩚⊴⇥(⪡⇡≛⫖↰⪸7A7))⋥⋵⩄(⫖↰⪸22A9⊕∕⫖↰⪸1189⩇∃⫛(⫖↰⪸1642⊹∫⫚⫖↰⪸1A54)))⇂≾⫗((⫖↰⪸1049∊∟⩊⫖↰⪸3093/⫖↰⪸18A8∖⫖↰⪸1449)⨻⩈⩔(∮(⫖↰⪸3962↱⫖↰⪸1501)))","cot":[{"info":"⫖↰⪸13B4⨰⫖↰⪸17B4=⫖↰⪸-3B2","layer":3},{"info":"⪡⇡≛⫖↰⪸7A7=⫖↰⪸-7A7","layer":3},{"info":"⫖↰⪸-3B2⩚⊴⇥⫖↰⪸-7A7=⫖↰⪸AB8","layer":2},{"info":"⫖↰⪸22A9⊕∕⫖↰⪸1189=⫖↰⪸22A9","layer":3},{"info":"⫖↰⪸1642⊹∫⫚⫖↰⪸1A54=⫖↰⪸-B8","layer":3},{"info":"⫖↰⪸22A9⩇∃⫛⫖↰⪸-B8=⫖↰⪸-2070","layer":2},{"info":"⫖↰⪸AB8⋥⋵⩄⫖↰⪸-2070=⫖↰⪸15920","layer":1},{"info":"⫖↰⪸1049∊∟⩊⫖↰⪸3093=⫖↰⪸3093","layer":3},{"info":"⫖↰⪸18A8∖⫖↰⪸1449=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3093/⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸3962↱⫖↰⪸1501=⫖↰⪸-3B49","layer":3},{"info":"∮⫖↰⪸-3B49=⫖↰⪸-B9915","layer":2},{"info":"NaN⨻⩈⩔⫖↰⪸-B9915=NaN","layer":1},{"info":"⫖↰⪸15920⇂≾⫗NaN=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"(↑(($5229$⨸⪁$1107$)≚⊃≕($4038$⩨$2488$)))⫞⩸⩒(($1011$⋳⪒$1588$∪⫐$1881$⫸⇳$3488$)⋛(($7310$⫠↝⫳)⇟⨁⪰))","expression":"(↑((⫖↰⪸3039⨸⪁⫖↰⪸783)≚⊃≕(⫖↰⪸2406⩨⫖↰⪸1534)))⫞⩸⩒((⫖↰⪸703⋳⪒⫖↰⪸B04∪⫐⫖↰⪸1109⫸⇳⫖↰⪸2028)⋛((⫖↰⪸4292⫠↝⫳)⇟⨁⪰))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":175,"operation_count":11,"complexity_ratio":15.909090909090908,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5229,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4038,"base":12},"right_expr":{"type":"numeric_atoms","value":2488,"base":12}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1011,"base":12},"right_expr":{"type":"numeric_atoms","value":1588,"base":12}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1881,"base":12},"right_expr":{"type":"numeric_atoms","value":3488,"base":12}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":7310,"base":12}}}}},"used_operators":["XGcMNugi78","tR7O2zTn5j","Bmrmz2XGnR","g55IO6H4Gj","2DlMacCsIx","YbUVn0Rbpy","7YooWSwCyH","12rbrZMWeM","gx7XJ7hdpj","BX1lVwlMe0","8n5YIzOsVS"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⫖↰⪸140","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5229","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=5229, right_input=1107, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12672","layer":3},{"info":"number node, value=4038","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=4038, right_input=2488, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12672, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1588, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=147","layer":3},{"info":"number node, value=1881","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=3488, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=147, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=147","layer":2},{"info":"number node, value=7310","layer":4},{"info":"compute unary expreesion, input=7310, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=234543","layer":3},{"info":"compute unary expreesion, input=234543, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-234717","layer":2},{"info":"compute binary expreesion, left_input=147, right_input=-234717, 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=-703506","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=-703506, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=192","layer":0}],"base":12,"result_base":12,"text":"(↑((⫖↰⪸3039⨸⪁⫖↰⪸783)≚⊃≕(⫖↰⪸2406⩨⫖↰⪸1534)))⫞⩸⩒((⫖↰⪸703⋳⪒⫖↰⪸B04∪⫐⫖↰⪸1109⫸⇳⫖↰⪸2028)⋛((⫖↰⪸4292⫠↝⫳)⇟⨁⪰))=⫖↰⪸140","reverse_text":"⫖↰⪸140=(↑((⫖↰⪸3039⨸⪁⫖↰⪸783)≚⊃≕(⫖↰⪸2406⩨⫖↰⪸1534)))⫞⩸⩒((⫖↰⪸703⋳⪒⫖↰⪸B04∪⫐⫖↰⪸1109⫸⇳⫖↰⪸2028)⋛((⫖↰⪸4292⫠↝⫳)⇟⨁⪰))","cot":[{"info":"⫖↰⪸3039⨸⪁⫖↰⪸783=⫖↰⪸7400","layer":3},{"info":"⫖↰⪸2406⩨⫖↰⪸1534=⫖↰⪸0","layer":3},{"info":"⫖↰⪸7400≚⊃≕⫖↰⪸0=⫖↰⪸57","layer":2},{"info":"↑⫖↰⪸57=⫖↰⪸140","layer":1},{"info":"⫖↰⪸703⋳⪒⫖↰⪸B04=⫖↰⪸103","layer":3},{"info":"⫖↰⪸1109⫸⇳⫖↰⪸2028=⫖↰⪸0","layer":3},{"info":"⫖↰⪸103∪⫐⫖↰⪸0=⫖↰⪸103","layer":2},{"info":"⫖↰⪸4292⫠↝⫳=⫖↰⪸B3893","layer":3},{"info":"⫖↰⪸B3893⇟⨁⪰=⫖↰⪸-B39B9","layer":2},{"info":"⫖↰⪸103⋛⫖↰⪸-B39B9=⫖↰⪸-29B156","layer":1},{"info":"⫖↰⪸140⫞⩸⩒⫖↰⪸-29B156=⫖↰⪸140","layer":0}]}
{"id":327,"expression_no_base_symbol":"(⇨(⫟$1077$⫯⪬∳$7313$))∛≔","expression":"(⇨(⫟⫖↰⪸759⫯⪬∳⫖↰⪸4295))∛≔","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":361,"operation_count":4,"complexity_ratio":90.25,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1077,"base":12},"right_expr":{"type":"numeric_atoms","value":7313,"base":12}}}}},"used_operators":["mGnSCrte3L","G9tJMlZ94a","z4E1FaHLuy","d7ASUq0ydm"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","k8jYdgA6NY","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⫖↰⪸-128807","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"number node, value=7313","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=7313, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-1895","layer":3},{"info":"compute unary expreesion, input=-1895, 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=1657","layer":2},{"info":"compute unary expreesion, input=1657, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":0}],"base":12,"result_base":12,"text":"(⇨(⫟⫖↰⪸759⫯⪬∳⫖↰⪸4295))∛≔=⫖↰⪸-128807","reverse_text":"⫖↰⪸-128807=(⇨(⫟⫖↰⪸759⫯⪬∳⫖↰⪸4295))∛≔","cot":[{"info":"⫖↰⪸759⫯⪬∳⫖↰⪸4295=⫖↰⪸-111B","layer":3},{"info":"⫟⫖↰⪸-111B=⫖↰⪸B61","layer":2},{"info":"⇨⫖↰⪸B61=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0∛≔=⫖↰⪸-128807","layer":0}]}
{"id":328,"expression_no_base_symbol":"((⨆≐≲$1218$)⨽∌(⩩$2608$)⩢≌)⪶≀⋏($1057$⪔⊥$2432$⊔($7895$⫿)⊾⪯⋞(∑⇻≧(⨙⪌$2462$)))","expression":"((⨆≐≲⫖↰⪸856)⨽∌(⩩⫖↰⪸1614)⩢≌)⪶≀⋏(⫖↰⪸741⪔⊥⫖↰⪸14A8⊔(⫖↰⪸469B⫿)⊾⪯⋞(∑⇻≧(⨙⪌⫖↰⪸1512)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4971,"operation_count":11,"complexity_ratio":451.90909090909093,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1218,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2608,"base":12}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1057,"base":12},"right_expr":{"type":"numeric_atoms","value":2432,"base":12}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":7895,"base":12}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2462,"base":12}}}}},"used_operators":["zR4jO40bMj","D617RFjZIq","9samAPKr6k","Bi9z9uYZqW","kMhfGuqI2H","HK0tfVPux8","E4l6HwMY31","HJ9erzHUuu","9tKT6PmtkH","l1M9WJ3V7u","vEGLkm4Z2k"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","hTbEZDJLEm","o20kRiQErp","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⫖↰⪸-3968","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":4},{"info":"compute unary expreesion, input=1218, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=12996312","layer":3},{"info":"number node, value=2608","layer":4},{"info":"compute unary expreesion, input=2608, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12996312, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"number node, value=1057","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2432, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-835","layer":3},{"info":"number node, value=7895","layer":4},{"info":"compute unary expreesion, input=7895, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=7895","layer":3},{"info":"compute binary expreesion, left_input=-835, right_input=7895, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=25315","layer":2},{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=25315, right_input=-852, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-820, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6560","layer":0}],"base":12,"result_base":12,"text":"((⨆≐≲⫖↰⪸856)⨽∌(⩩⫖↰⪸1614)⩢≌)⪶≀⋏(⫖↰⪸741⪔⊥⫖↰⪸14A8⊔(⫖↰⪸469B⫿)⊾⪯⋞(∑⇻≧(⨙⪌⫖↰⪸1512)))=⫖↰⪸-3968","reverse_text":"⫖↰⪸-3968=((⨆≐≲⫖↰⪸856)⨽∌(⩩⫖↰⪸1614)⩢≌)⪶≀⋏(⫖↰⪸741⪔⊥⫖↰⪸14A8⊔(⫖↰⪸469B⫿)⊾⪯⋞(∑⇻≧(⨙⪌⫖↰⪸1512)))","cot":[{"info":"⨆≐≲⫖↰⪸856=⫖↰⪸4429020","layer":3},{"info":"⩩⫖↰⪸1614=NaN","layer":3},{"info":"⫖↰⪸4429020⨽∌NaN=NaN","layer":2},{"info":"NaN⩢≌=⫖↰⪸95","layer":1},{"info":"⫖↰⪸741⪔⊥⫖↰⪸14A8=⫖↰⪸-597","layer":3},{"info":"⫖↰⪸469B⫿=⫖↰⪸469B","layer":3},{"info":"⫖↰⪸-597⊔⫖↰⪸469B=⫖↰⪸12797","layer":2},{"info":"⨙⪌⫖↰⪸1512=⫖↰⪸604","layer":3},{"info":"∑⇻≧⫖↰⪸604=⫖↰⪸-5B0","layer":2},{"info":"⫖↰⪸12797⊾⪯⋞⫖↰⪸-5B0=⫖↰⪸-584","layer":1},{"info":"⫖↰⪸95⪶≀⋏⫖↰⪸-584=⫖↰⪸-3968","layer":0}]}
{"id":329,"expression_no_base_symbol":"(∂⩏⊆($1115$⪎↠$1687$)⇤(⩷⨜⫀$1177$))⫭","expression":"(∂⩏⊆(⫖↰⪸78B⪎↠⫖↰⪸B87)⇤(⩷⨜⫀⫖↰⪸821))⫭","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":52,"operation_count":5,"complexity_ratio":10.4,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1115,"base":12},"right_expr":{"type":"numeric_atoms","value":1687,"base":12}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1177,"base":12}}}}},"used_operators":["t4WUHVGj7f","8WDwsbhb0R","YSKBFp38Pu","3tVxb0NHM4","CDi0ktkjQ4"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","ruOEQAzv1W","nhYeJWJD5X"],"result":"⫖↰⪸-2A258","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1115","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1687, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1177","layer":4},{"info":"compute unary expreesion, input=1177, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-904","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-904, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=6568","layer":2},{"info":"compute unary expreesion, input=6568, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-19783","layer":1},{"info":"compute unary expreesion, input=-19783, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-59108","layer":0}],"base":12,"result_base":12,"text":"(∂⩏⊆(⫖↰⪸78B⪎↠⫖↰⪸B87)⇤(⩷⨜⫀⫖↰⪸821))⫭=⫖↰⪸-2A258","reverse_text":"⫖↰⪸-2A258=(∂⩏⊆(⫖↰⪸78B⪎↠⫖↰⪸B87)⇤(⩷⨜⫀⫖↰⪸821))⫭","cot":[{"info":"⫖↰⪸78B⪎↠⫖↰⪸B87=⫖↰⪸114","layer":3},{"info":"⩷⨜⫀⫖↰⪸821=⫖↰⪸-634","layer":3},{"info":"⫖↰⪸114⇤⫖↰⪸-634=⫖↰⪸3974","layer":2},{"info":"∂⩏⊆⫖↰⪸3974=⫖↰⪸-B547","layer":1},{"info":"⫖↰⪸-B547⫭=⫖↰⪸-2A258","layer":0}]}
{"id":330,"expression_no_base_symbol":"(($1494$∽$1455$)⫁($1723$⨪↰⇹$1628$)∙∹∝(⪁⇼(≋$9628$)))⫠↝⫳","expression":"((⫖↰⪸A46∽⫖↰⪸A13)⫁(⫖↰⪸BB7⨪↰⇹⫖↰⪸B38)∙∹∝(⪁⇼(≋⫖↰⪸56A4)))⫠↝⫳","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1865,"operation_count":7,"complexity_ratio":266.42857142857144,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1494,"base":12},"right_expr":{"type":"numeric_atoms","value":1455,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1723,"base":12},"right_expr":{"type":"numeric_atoms","value":1628,"base":12}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":9628,"base":12}}}}},"used_operators":["8n5YIzOsVS","HmxsFra2vL","0ajvFaJAv0","y4ImoPnbV5","tmPS8pqC7x","ZNVVrZ94lY","61wBmkZwlr"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","rJVOvQCfKK","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","7j4O788W3g"],"result":"⫖↰⪸43B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1494","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1455, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-11657","layer":3},{"info":"number node, value=1723","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=1628, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1723","layer":3},{"info":"compute binary expreesion, left_input=-11657, right_input=1723, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=9628","layer":4},{"info":"compute unary expreesion, input=9628, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=9628","layer":3},{"info":"compute unary expreesion, input=9628, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=422, op_id = 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 = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=623","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A46∽⫖↰⪸A13)⫁(⫖↰⪸BB7⨪↰⇹⫖↰⪸B38)∙∹∝(⪁⇼(≋⫖↰⪸56A4)))⫠↝⫳=⫖↰⪸43B","reverse_text":"⫖↰⪸43B=((⫖↰⪸A46∽⫖↰⪸A13)⫁(⫖↰⪸BB7⨪↰⇹⫖↰⪸B38)∙∹∝(⪁⇼(≋⫖↰⪸56A4)))⫠↝⫳","cot":[{"info":"⫖↰⪸A46∽⫖↰⪸A13=⫖↰⪸-68B5","layer":3},{"info":"⫖↰⪸BB7⨪↰⇹⫖↰⪸B38=⫖↰⪸BB7","layer":3},{"info":"⫖↰⪸-68B5⫁⫖↰⪸BB7=⫖↰⪸114","layer":2},{"info":"≋⫖↰⪸56A4=⫖↰⪸56A4","layer":3},{"info":"⪁⇼⫖↰⪸56A4=⫖↰⪸2B2","layer":2},{"info":"⫖↰⪸114∙∹∝⫖↰⪸2B2=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⫠↝⫳=⫖↰⪸43B","layer":0}]}
{"id":331,"expression_no_base_symbol":"((⊀$1500$)⪘⫢($1139$/$3110$))⨑⩅≇(⇉-⫰($1219$∕⩚$1710$))⩼⇪↪((⋠∜($3229$⪨⊡$1883$))⋥⋵⩄(∜⨇($3177$⩎⪣⊞)))","expression":"((⊀⫖↰⪸A50)⪘⫢(⫖↰⪸7AB/⫖↰⪸1972))⨑⩅≇(⇉-⫰(⫖↰⪸857∕⩚⫖↰⪸BA6))⩼⇪↪((⋠∜(⫖↰⪸1A51⪨⊡⫖↰⪸110B))⋥⋵⩄(∜⨇(⫖↰⪸1A09⩎⪣⊞)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45955,"operation_count":12,"complexity_ratio":3829.5833333333335,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1500,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1139,"base":12},"right_expr":{"type":"numeric_atoms","value":3110,"base":12}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":1710,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3229,"base":12},"right_expr":{"type":"numeric_atoms","value":1883,"base":12}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":3177,"base":12}}}}},"used_operators":["ocnLzx9CaJ","h92wMvzauj","oacrs7FA3X","oPMjh9089D","XhwjNDsVaA","IGFM8TAlm9","z9ffQ9n5Zr","7t3wd0Fuz7","ZJpFhNJr3x","kuIXHzHcAH","uFPyJr306J","waWucp1uQ4"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","eH2TOUuTDT","eewbuw0ToL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"compute unary expreesion, input=1500, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5738","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=3110","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=3110, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=5738, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1710, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1222","layer":3},{"info":"compute unary expreesion, input=-1222, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":1},{"info":"number node, value=3229","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=1883, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2284","layer":2},{"info":"number node, value=3177","layer":4},{"info":"compute unary expreesion, input=3177, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=6354","layer":3},{"info":"compute unary expreesion, input=6354, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2284, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":12,"result_base":12,"text":"((⊀⫖↰⪸A50)⪘⫢(⫖↰⪸7AB/⫖↰⪸1972))⨑⩅≇(⇉-⫰(⫖↰⪸857∕⩚⫖↰⪸BA6))⩼⇪↪((⋠∜(⫖↰⪸1A51⪨⊡⫖↰⪸110B))⋥⋵⩄(∜⨇(⫖↰⪸1A09⩎⪣⊞)))=NaN","reverse_text":"NaN=((⊀⫖↰⪸A50)⪘⫢(⫖↰⪸7AB/⫖↰⪸1972))⨑⩅≇(⇉-⫰(⫖↰⪸857∕⩚⫖↰⪸BA6))⩼⇪↪((⋠∜(⫖↰⪸1A51⪨⊡⫖↰⪸110B))⋥⋵⩄(∜⨇(⫖↰⪸1A09⩎⪣⊞)))","cot":[{"info":"⊀⫖↰⪸A50=⫖↰⪸33A2","layer":3},{"info":"⫖↰⪸7AB/⫖↰⪸1972=⫖↰⪸0","layer":3},{"info":"⫖↰⪸33A2⪘⫢⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸857∕⩚⫖↰⪸BA6=⫖↰⪸-85A","layer":3},{"info":"⇉-⫰⫖↰⪸-85A=⫖↰⪸18","layer":2},{"info":"⫖↰⪸0⨑⩅≇⫖↰⪸18=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1A51⪨⊡⫖↰⪸110B=⫖↰⪸0","layer":3},{"info":"⋠∜⫖↰⪸0=⫖↰⪸13A4","layer":2},{"info":"⫖↰⪸1A09⩎⪣⊞=⫖↰⪸3816","layer":3},{"info":"∜⨇⫖↰⪸3816=NaN","layer":2},{"info":"⫖↰⪸13A4⋥⋵⩄NaN=NaN","layer":1},{"info":"⫖↰⪸0⩼⇪↪NaN=NaN","layer":0}]}
{"id":332,"expression_no_base_symbol":"⫵↿((⫶⊄≣$1282$⋹⋡⊁$4243$)⩷∴(≔$2432$)⪭($2522$⩘))","expression":"⫵↿((⫶⊄≣⫖↰⪸8AA⋹⋡⊁⫖↰⪸2557)⩷∴(≔⫖↰⪸14A8)⪭(⫖↰⪸1562⩘))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":67667,"operation_count":7,"complexity_ratio":9666.714285714286,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1282,"base":12},"right_expr":{"type":"numeric_atoms","value":4243,"base":12}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2432,"base":12}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":2522,"base":12}}}}},"used_operators":["ivGwdmUAux","9FxExcQeMw","wxb3vTeyAj","As8RqfVLgs","j9kHMeSvPp","8FLs4eVsLt","wvHyciQT5X"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","COABgblf1C","xUOZtlo3hN","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9ICcGScMcE","dfKe02y8D2"],"result":"⫖↰⪸B5","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"number node, value=4243","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=4243, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4993","layer":3},{"info":"compute unary expreesion, input=4993, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=448827445","layer":2},{"info":"number node, value=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-66802","layer":3},{"info":"number node, value=2522","layer":4},{"info":"compute unary expreesion, input=2522, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-66802, right_input=67, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=66628","layer":2},{"info":"compute binary expreesion, left_input=448827445, right_input=66628, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=897521602","layer":1},{"info":"compute unary expreesion, input=897521602, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":12,"result_base":12,"text":"⫵↿((⫶⊄≣⫖↰⪸8AA⋹⋡⊁⫖↰⪸2557)⩷∴(≔⫖↰⪸14A8)⪭(⫖↰⪸1562⩘))=⫖↰⪸B5","reverse_text":"⫖↰⪸B5=⫵↿((⫶⊄≣⫖↰⪸8AA⋹⋡⊁⫖↰⪸2557)⩷∴(≔⫖↰⪸14A8)⪭(⫖↰⪸1562⩘))","cot":[{"info":"⫖↰⪸8AA⋹⋡⊁⫖↰⪸2557=⫖↰⪸2A81","layer":3},{"info":"⫶⊄≣⫖↰⪸2A81=⫖↰⪸10638A131","layer":2},{"info":"≔⫖↰⪸14A8=⫖↰⪸-327AA","layer":3},{"info":"⫖↰⪸1562⩘=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-327AA⪭⫖↰⪸57=⫖↰⪸32684","layer":2},{"info":"⫖↰⪸10638A131⩷∴⫖↰⪸32684=⫖↰⪸2106B30AA","layer":1},{"info":"⫵↿⫖↰⪸2106B30AA=⫖↰⪸B5","layer":0}]}
{"id":333,"expression_no_base_symbol":"((⇈$2771$)∲⫓($1186$⪁$2756$))∀⇚≩((≤/$3486$)⫦⪉(⫎≠⋺$3152$))⋖∅⋲","expression":"((⇈⫖↰⪸172B)∲⫓(⫖↰⪸82A⪁⫖↰⪸1718))∀⇚≩((≤/⫖↰⪸2026)⫦⪉(⫎≠⋺⫖↰⪸19A8))⋖∅⋲","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":85371389,"operation_count":8,"complexity_ratio":10671423.625,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2771,"base":12}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1186,"base":12},"right_expr":{"type":"numeric_atoms","value":2756,"base":12}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3486,"base":12}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":3152,"base":12}}}}},"used_operators":["L95AwlJzhO","LRNGc0VcxI","i8ToyICDmI","SLLxy00UIr","I7sXao9hZE","wscyQdcy20","eLAdDNolq6","LYeZOJ0nQG"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2771","layer":4},{"info":"compute unary expreesion, input=2771, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1186","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=2756, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=3486","layer":4},{"info":"compute unary expreesion, input=3486, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3002","layer":3},{"info":"number node, value=3152","layer":4},{"info":"compute unary expreesion, input=3152, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3002, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=9842","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9842, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇈⫖↰⪸172B)∲⫓(⫖↰⪸82A⪁⫖↰⪸1718))∀⇚≩((≤/⫖↰⪸2026)⫦⪉(⫎≠⋺⫖↰⪸19A8))⋖∅⋲=NaN","reverse_text":"NaN=((⇈⫖↰⪸172B)∲⫓(⫖↰⪸82A⪁⫖↰⪸1718))∀⇚≩((≤/⫖↰⪸2026)⫦⪉(⫎≠⋺⫖↰⪸19A8))⋖∅⋲","cot":[{"info":"⇈⫖↰⪸172B=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸82A⪁⫖↰⪸1718=NaN","layer":3},{"info":"⫖↰⪸-313∲⫓NaN=NaN","layer":2},{"info":"≤/⫖↰⪸2026=⫖↰⪸-18A2","layer":3},{"info":"⫎≠⋺⫖↰⪸19A8=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-18A2⫦⪉⫖↰⪸0=⫖↰⪸5842","layer":2},{"info":"NaN∀⇚≩⫖↰⪸5842=NaN","layer":1},{"info":"NaN⋖∅⋲=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"(($1002$∖$1948$)≎⊠⪸($1101$⫥∨⫟$1663$)≥⨤⩑($4716$⇟⨁⪰)⋝⋈⪟($5504$+$3631$))→⨶⪴((($5804$+$1187$)⪔$1022$⫉⨲⊜$3840$)↼⊘⨖(↔$2100$⪒⊣⊆$6032$))","expression":"((⫖↰⪸6B6∖⫖↰⪸1164)≎⊠⪸(⫖↰⪸779⫥∨⫟⫖↰⪸B67)≥⨤⩑(⫖↰⪸2890⇟⨁⪰)⋝⋈⪟(⫖↰⪸3228+⫖↰⪸2127))→⨶⪴(((⫖↰⪸3438+⫖↰⪸82B)⪔⫖↰⪸712⫉⨲⊜⫖↰⪸2280)↼⊘⨖(↔⫖↰⪸1270⪒⊣⊆⫖↰⪸35A8))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69156,"operation_count":14,"complexity_ratio":4939.714285714285,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":1948,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1101,"base":12},"right_expr":{"type":"numeric_atoms","value":1663,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":4716,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5504,"base":12},"right_expr":{"type":"numeric_atoms","value":3631,"base":12}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5804,"base":12},"right_expr":{"type":"numeric_atoms","value":1187,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1022,"base":12},"right_expr":{"type":"numeric_atoms","value":3840,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2100,"base":12},"right_expr":{"type":"numeric_atoms","value":6032,"base":12}}}}},"used_operators":["bF6eod5Gvf","gJLn6v0xnP","bJkvcejdHO","tXD093vOjl","KYD54nUTWz","2DDjHMKMc0","BX1lVwlMe0","W4YGzv6Whe","bPywburJMS","GjBEYRfMaF","WhqkvtTD3t","ruOEQAzv1W","eRqsBgTDFp"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eewbuw0ToL","zVYPLywUTj","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","W4YGzv6Whe"],"result":"⫖↰⪸9598","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1948, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1101","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=1663, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=4716","layer":4},{"info":"compute unary expreesion, input=4716, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4890","layer":3},{"info":"number node, value=5504","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=5504, right_input=3631, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9135","layer":3},{"info":"compute binary expreesion, left_input=-4890, right_input=9135, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4890","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-4890, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=134","layer":1},{"info":"number node, value=5804","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=5804, right_input=1187, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6991","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=3840, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6991, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":2},{"info":"number node, value=2100","layer":4},{"info":"number node, value=6032","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=6032, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4200","layer":3},{"info":"compute unary expreesion, input=4200, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3927","layer":2},{"info":"compute binary expreesion, left_input=-6760, right_input=-3927, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-8076","layer":1},{"info":"compute binary expreesion, left_input=134, right_input=-8076, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=16388","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸6B6∖⫖↰⪸1164)≎⊠⪸(⫖↰⪸779⫥∨⫟⫖↰⪸B67)≥⨤⩑(⫖↰⪸2890⇟⨁⪰)⋝⋈⪟(⫖↰⪸3228+⫖↰⪸2127))→⨶⪴(((⫖↰⪸3438+⫖↰⪸82B)⪔⫖↰⪸712⫉⨲⊜⫖↰⪸2280)↼⊘⨖(↔⫖↰⪸1270⪒⊣⊆⫖↰⪸35A8))=⫖↰⪸9598","reverse_text":"⫖↰⪸9598=((⫖↰⪸6B6∖⫖↰⪸1164)≎⊠⪸(⫖↰⪸779⫥∨⫟⫖↰⪸B67)≥⨤⩑(⫖↰⪸2890⇟⨁⪰)⋝⋈⪟(⫖↰⪸3228+⫖↰⪸2127))→⨶⪴(((⫖↰⪸3438+⫖↰⪸82B)⪔⫖↰⪸712⫉⨲⊜⫖↰⪸2280)↼⊘⨖(↔⫖↰⪸1270⪒⊣⊆⫖↰⪸35A8))","cot":[{"info":"⫖↰⪸6B6∖⫖↰⪸1164=⫖↰⪸0","layer":3},{"info":"⫖↰⪸779⫥∨⫟⫖↰⪸B67=NaN","layer":3},{"info":"⫖↰⪸0≎⊠⪸NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸2890⇟⨁⪰=⫖↰⪸-29B6","layer":3},{"info":"⫖↰⪸3228+⫖↰⪸2127=⫖↰⪸5353","layer":3},{"info":"⫖↰⪸-29B6⋝⋈⪟⫖↰⪸5353=⫖↰⪸-29B6","layer":2},{"info":"⫖↰⪸57≥⨤⩑⫖↰⪸-29B6=⫖↰⪸B2","layer":1},{"info":"⫖↰⪸3438+⫖↰⪸82B=⫖↰⪸4067","layer":3},{"info":"⫖↰⪸712⫉⨲⊜⫖↰⪸2280=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4067⪔⫖↰⪸0=⫖↰⪸-3AB4","layer":2},{"info":"⫖↰⪸1270⪒⊣⊆⫖↰⪸35A8=⫖↰⪸2520","layer":3},{"info":"↔⫖↰⪸2520=⫖↰⪸-2333","layer":2},{"info":"⫖↰⪸-3AB4↼⊘⨖⫖↰⪸-2333=⫖↰⪸-4810","layer":1},{"info":"⫖↰⪸B2→⨶⪴⫖↰⪸-4810=⫖↰⪸9598","layer":0}]}
{"id":335,"expression_no_base_symbol":"($2281$⪔$2295$⪁$2245$⊴$1610$)⋕⪉⪜(($3305$≳⇉$9427$)∛($3590$⊔$1991$))≨(⨂⪏⇭(↪⫪⫘($3103$⊉≛↸$3886$)))","expression":"(⫖↰⪸13A1⪔⫖↰⪸13B3⪁⫖↰⪸1371⊴⫖↰⪸B22)⋕⪉⪜((⫖↰⪸1AB5≳⇉⫖↰⪸5557)∛(⫖↰⪸20B2⊔⫖↰⪸119B))≨(⨂⪏⇭(↪⫪⫘(⫖↰⪸1967⊉≛↸⫖↰⪸22BA)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24522,"operation_count":11,"complexity_ratio":2229.2727272727275,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2281,"base":12},"right_expr":{"type":"numeric_atoms","value":2295,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2245,"base":12},"right_expr":{"type":"numeric_atoms","value":1610,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3305,"base":12},"right_expr":{"type":"numeric_atoms","value":9427,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3590,"base":12},"right_expr":{"type":"numeric_atoms","value":1991,"base":12}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3103,"base":12},"right_expr":{"type":"numeric_atoms","value":3886,"base":12}}}}},"used_operators":["0KMCeP1Jsh","z6LnFrNh4i","I7sXao9hZE","GjBEYRfMaF","Nsiff2A1zJ","w2537kitQq","V0kx6qeWkN","E4l6HwMY31","AYdpE9sXAk","9dWsAM3GFt","DZ8iAZOCBD"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","dWAJyo7jo9","14qkJME0vr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸304","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2281","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=2295, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=1610, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=3305","layer":4},{"info":"number node, value=9427","layer":4},{"info":"compute binary expreesion, left_input=3305, right_input=9427, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3590","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=1991, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=14735","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14735, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=3103","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=3886, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6206","layer":3},{"info":"compute unary expreesion, input=6206, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-919","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=-919, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=436","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸13A1⪔⫖↰⪸13B3⪁⫖↰⪸1371⊴⫖↰⪸B22)⋕⪉⪜((⫖↰⪸1AB5≳⇉⫖↰⪸5557)∛(⫖↰⪸20B2⊔⫖↰⪸119B))≨(⨂⪏⇭(↪⫪⫘(⫖↰⪸1967⊉≛↸⫖↰⪸22BA)))=⫖↰⪸304","reverse_text":"⫖↰⪸304=(⫖↰⪸13A1⪔⫖↰⪸13B3⪁⫖↰⪸1371⊴⫖↰⪸B22)⋕⪉⪜((⫖↰⪸1AB5≳⇉⫖↰⪸5557)∛(⫖↰⪸20B2⊔⫖↰⪸119B))≨(⨂⪏⇭(↪⫪⫘(⫖↰⪸1967⊉≛↸⫖↰⪸22BA)))","cot":[{"info":"⫖↰⪸13A1⪔⫖↰⪸13B3=⫖↰⪸316","layer":3},{"info":"⫖↰⪸1371⊴⫖↰⪸B22=NaN","layer":3},{"info":"⫖↰⪸316⪁NaN=NaN","layer":2},{"info":"⫖↰⪸1AB5≳⇉⫖↰⪸5557=NaN","layer":3},{"info":"⫖↰⪸20B2⊔⫖↰⪸119B=⫖↰⪸863B","layer":3},{"info":"NaN∛⫖↰⪸863B=NaN","layer":2},{"info":"NaN⋕⪉⪜NaN=⫖↰⪸150","layer":1},{"info":"⫖↰⪸1967⊉≛↸⫖↰⪸22BA=⫖↰⪸3712","layer":3},{"info":"↪⫪⫘⫖↰⪸3712=⫖↰⪸18","layer":2},{"info":"⨂⪏⇭⫖↰⪸18=⫖↰⪸-647","layer":1},{"info":"⫖↰⪸150≨⫖↰⪸-647=⫖↰⪸304","layer":0}]}
{"id":336,"expression_no_base_symbol":"(($7757$⫦⪉$3071$)↓(⊗$4254$)≭($1672$⨁⊸⫻)⨿$1583$⋹⋡⊁$1740$)↼⊘⨖(⇨((⇈$6933$)∸))","expression":"((⫖↰⪸45A5⫦⪉⫖↰⪸193B)↓(⊗⫖↰⪸2566)≭(⫖↰⪸B74⨁⊸⫻)⨿⫖↰⪸ABB⋹⋡⊁⫖↰⪸1010)↼⊘⨖(⇨((⇈⫖↰⪸4019)∸))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":183396,"operation_count":11,"complexity_ratio":16672.363636363636,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7757,"base":12},"right_expr":{"type":"numeric_atoms","value":3071,"base":12}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4254,"base":12}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1672,"base":12}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1583,"base":12},"right_expr":{"type":"numeric_atoms","value":1740,"base":12}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":6933,"base":12}}}}},"used_operators":["bPywburJMS","rxpJgHHUmx","Af076pWI7l","wscyQdcy20","RhiyfpczSx","abYXlopdE0","glklzrTFfD","As8RqfVLgs","G9tJMlZ94a","o20kRiQErp","SLLxy00UIr"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","AHs5Up7iyr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","k8jYdgA6NY","tmPS8pqC7x","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"⫖↰⪸-166","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7757","layer":4},{"info":"number node, value=3071","layer":4},{"info":"compute binary expreesion, left_input=7757, right_input=3071, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-10614","layer":3},{"info":"number node, value=4254","layer":4},{"info":"compute unary expreesion, input=4254, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-8508","layer":3},{"info":"compute binary expreesion, left_input=-10614, right_input=-8508, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=1672","layer":4},{"info":"compute unary expreesion, input=1672, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1672","layer":3},{"info":"number node, value=1583","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=1583, right_input=1740, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2490","layer":3},{"info":"compute binary expreesion, left_input=1672, right_input=2490, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-319, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6933","layer":4},{"info":"compute unary expreesion, input=6933, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸45A5⫦⪉⫖↰⪸193B)↓(⊗⫖↰⪸2566)≭(⫖↰⪸B74⨁⊸⫻)⨿⫖↰⪸ABB⋹⋡⊁⫖↰⪸1010)↼⊘⨖(⇨((⇈⫖↰⪸4019)∸))=⫖↰⪸-166","reverse_text":"⫖↰⪸-166=((⫖↰⪸45A5⫦⪉⫖↰⪸193B)↓(⊗⫖↰⪸2566)≭(⫖↰⪸B74⨁⊸⫻)⨿⫖↰⪸ABB⋹⋡⊁⫖↰⪸1010)↼⊘⨖(⇨((⇈⫖↰⪸4019)∸))","cot":[{"info":"⫖↰⪸45A5⫦⪉⫖↰⪸193B=⫖↰⪸-6186","layer":3},{"info":"⊗⫖↰⪸2566=⫖↰⪸-4B10","layer":3},{"info":"⫖↰⪸-6186↓⫖↰⪸-4B10=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸B74⨁⊸⫻=⫖↰⪸B74","layer":3},{"info":"⫖↰⪸ABB⋹⋡⊁⫖↰⪸1010=⫖↰⪸1536","layer":3},{"info":"⫖↰⪸B74⨿⫖↰⪸1536=⫖↰⪸-227","layer":2},{"info":"⫖↰⪸-B2≭⫖↰⪸-227=NaN","layer":1},{"info":"⇈⫖↰⪸4019=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-313∸=⫖↰⪸129","layer":2},{"info":"⇨⫖↰⪸129=⫖↰⪸0","layer":1},{"info":"NaN↼⊘⨖⫖↰⪸0=⫖↰⪸-166","layer":0}]}
{"id":337,"expression_no_base_symbol":"(($1326$⩒⫫$1115$)⫘($1051$⋥≓≎$6481$)↼⊘⨖($1095$⫯⪬∳$1338$⪭($2334$⨑≵⋬$4402$)))⩦(((⊵⊁$1872$)⊭∹↮)↳≱($1246$⩒⫫$2700$≳⇉($1154$∙∹∝$1471$)))","expression":"((⫖↰⪸926⩒⫫⫖↰⪸78B)⫘(⫖↰⪸737⋥≓≎⫖↰⪸3901)↼⊘⨖(⫖↰⪸773⫯⪬∳⫖↰⪸936⪭(⫖↰⪸1426⨑≵⋬⫖↰⪸266A)))⩦(((⊵⊁⫖↰⪸1100)⊭∹↮)↳≱(⫖↰⪸87A⩒⫫⫖↰⪸1690≳⇉(⫖↰⪸802∙∹∝⫖↰⪸A27)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1518,"operation_count":14,"complexity_ratio":108.42857142857143,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1326,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":6481,"base":12}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1095,"base":12},"right_expr":{"type":"numeric_atoms","value":1338,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2334,"base":12},"right_expr":{"type":"numeric_atoms","value":4402,"base":12}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1872,"base":12}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1246,"base":12},"right_expr":{"type":"numeric_atoms","value":2700,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1154,"base":12},"right_expr":{"type":"numeric_atoms","value":1471,"base":12}}}}},"used_operators":["0kmYd0q39Y","bPywburJMS","48vC8HMD2b","KFSx94NKJn","Qy55tPpLXF","j9kHMeSvPp","d7ASUq0ydm","XnXgA4xnOs","JwTKLfZU96","xNBdhnnwKq","AvED76WdY7","V0kx6qeWkN","HmxsFra2vL"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","uBihLCJcMX","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⫖↰⪸-194B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1326","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=1115, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1024","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=6481","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=6481, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11944","layer":3},{"info":"compute binary expreesion, left_input=1024, right_input=11944, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1208629","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1338, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4170","layer":3},{"info":"number node, value=2334","layer":4},{"info":"number node, value=4402","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=4402, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-17765","layer":3},{"info":"compute binary expreesion, left_input=4170, right_input=-17765, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=1208629, right_input=5, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-212","layer":1},{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=10162","layer":3},{"info":"compute unary expreesion, input=10162, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=20324","layer":2},{"info":"number node, value=1246","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=2700, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=944","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1471, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=944, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20324, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-212, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-3083","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸926⩒⫫⫖↰⪸78B)⫘(⫖↰⪸737⋥≓≎⫖↰⪸3901)↼⊘⨖(⫖↰⪸773⫯⪬∳⫖↰⪸936⪭(⫖↰⪸1426⨑≵⋬⫖↰⪸266A)))⩦(((⊵⊁⫖↰⪸1100)⊭∹↮)↳≱(⫖↰⪸87A⩒⫫⫖↰⪸1690≳⇉(⫖↰⪸802∙∹∝⫖↰⪸A27)))=⫖↰⪸-194B","reverse_text":"⫖↰⪸-194B=((⫖↰⪸926⩒⫫⫖↰⪸78B)⫘(⫖↰⪸737⋥≓≎⫖↰⪸3901)↼⊘⨖(⫖↰⪸773⫯⪬∳⫖↰⪸936⪭(⫖↰⪸1426⨑≵⋬⫖↰⪸266A)))⩦(((⊵⊁⫖↰⪸1100)⊭∹↮)↳≱(⫖↰⪸87A⩒⫫⫖↰⪸1690≳⇉(⫖↰⪸802∙∹∝⫖↰⪸A27)))","cot":[{"info":"⫖↰⪸926⩒⫫⫖↰⪸78B=⫖↰⪸714","layer":3},{"info":"⫖↰⪸737⋥≓≎⫖↰⪸3901=⫖↰⪸6AB4","layer":3},{"info":"⫖↰⪸714⫘⫖↰⪸6AB4=⫖↰⪸4A3531","layer":2},{"info":"⫖↰⪸773⫯⪬∳⫖↰⪸936=⫖↰⪸24B6","layer":3},{"info":"⫖↰⪸1426⨑≵⋬⫖↰⪸266A=⫖↰⪸-A345","layer":3},{"info":"⫖↰⪸24B6⪭⫖↰⪸-A345=⫖↰⪸5","layer":2},{"info":"⫖↰⪸4A3531↼⊘⨖⫖↰⪸5=⫖↰⪸-158","layer":1},{"info":"⊵⊁⫖↰⪸1100=⫖↰⪸5A6A","layer":3},{"info":"⫖↰⪸5A6A⊭∹↮=⫖↰⪸B918","layer":2},{"info":"⫖↰⪸87A⩒⫫⫖↰⪸1690=⫖↰⪸668","layer":3},{"info":"⫖↰⪸802∙∹∝⫖↰⪸A27=⫖↰⪸0","layer":3},{"info":"⫖↰⪸668≳⇉⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸B918↳≱⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-158⩦⫖↰⪸0=⫖↰⪸-194B","layer":0}]}
{"id":338,"expression_no_base_symbol":"($3806$⨽∌$5038$⊢($1137$↪⪝)⫸⊐($1689$≎⊠⪸$4521$)⩒⫫$1138$⊢$2189$)⪡(($4522$⇴∐$2259$)∀⇚≩$4896$⪔⊥$5775$)↤⩊($1562$∌$1932$⩧⪆($1790$≋⫹))","expression":"(⫖↰⪸2252⨽∌⫖↰⪸2ABA⊢(⫖↰⪸7A9↪⪝)⫸⊐(⫖↰⪸B89≎⊠⪸⫖↰⪸2749)⩒⫫⫖↰⪸7AA⊢⫖↰⪸1325)⪡((⫖↰⪸274A⇴∐⫖↰⪸1383)∀⇚≩⫖↰⪸2A00⪔⊥⫖↰⪸3413)↤⩊(⫖↰⪸AA2∌⫖↰⪸1150⩧⪆(⫖↰⪸1052≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1341,"operation_count":15,"complexity_ratio":89.4,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3806,"base":12},"right_expr":{"type":"numeric_atoms","value":5038,"base":12}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1137,"base":12}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1689,"base":12},"right_expr":{"type":"numeric_atoms","value":4521,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1138,"base":12},"right_expr":{"type":"numeric_atoms","value":2189,"base":12}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4522,"base":12},"right_expr":{"type":"numeric_atoms","value":2259,"base":12}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4896,"base":12},"right_expr":{"type":"numeric_atoms","value":5775,"base":12}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1562,"base":12},"right_expr":{"type":"numeric_atoms","value":1932,"base":12}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1790,"base":12}}}}},"used_operators":["oraRL2iQuh","mqXw5SEYmG","5twsqlHp2o","9samAPKr6k","l07mrZUIn9","KFSx94NKJn","bJkvcejdHO","13rbtpv6ld","LRNGc0VcxI","HnzytWxmAO","HJ9erzHUuu","Ikt5ks8PT7","8cLx32lpNA","N41Kp7NANJ"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","2DDjHMKMc0","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","X99M06cbEe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eewbuw0ToL","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3806","layer":4},{"info":"number node, value=5038","layer":4},{"info":"compute binary expreesion, left_input=3806, right_input=5038, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1137","layer":4},{"info":"compute unary expreesion, input=1137, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=69563934","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=69563934, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":2},{"info":"number node, value=1689","layer":4},{"info":"number node, value=4521","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=4521, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=436978","layer":3},{"info":"number node, value=1138","layer":4},{"info":"number node, value=2189","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=2189, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2520","layer":3},{"info":"compute binary expreesion, left_input=436978, right_input=-2520, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=436676","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=436676, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=240","layer":1},{"info":"number node, value=4522","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=4522, right_input=2259, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=4896","layer":4},{"info":"number node, value=5775","layer":4},{"info":"compute binary expreesion, left_input=4896, right_input=5775, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7835","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7835, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1932, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1932","layer":3},{"info":"number node, value=1790","layer":4},{"info":"compute unary expreesion, input=1790, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3580","layer":3},{"info":"compute binary expreesion, left_input=-1932, right_input=-3580, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=3580","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3580, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=240, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2252⨽∌⫖↰⪸2ABA⊢(⫖↰⪸7A9↪⪝)⫸⊐(⫖↰⪸B89≎⊠⪸⫖↰⪸2749)⩒⫫⫖↰⪸7AA⊢⫖↰⪸1325)⪡((⫖↰⪸274A⇴∐⫖↰⪸1383)∀⇚≩⫖↰⪸2A00⪔⊥⫖↰⪸3413)↤⩊(⫖↰⪸AA2∌⫖↰⪸1150⩧⪆(⫖↰⪸1052≋⫹))=NaN","reverse_text":"NaN=(⫖↰⪸2252⨽∌⫖↰⪸2ABA⊢(⫖↰⪸7A9↪⪝)⫸⊐(⫖↰⪸B89≎⊠⪸⫖↰⪸2749)⩒⫫⫖↰⪸7AA⊢⫖↰⪸1325)⪡((⫖↰⪸274A⇴∐⫖↰⪸1383)∀⇚≩⫖↰⪸2A00⪔⊥⫖↰⪸3413)↤⩊(⫖↰⪸AA2∌⫖↰⪸1150⩧⪆(⫖↰⪸1052≋⫹))","cot":[{"info":"⫖↰⪸2252⨽∌⫖↰⪸2ABA=⫖↰⪸0","layer":3},{"info":"⫖↰⪸7A9↪⪝=⫖↰⪸1B368AA6","layer":3},{"info":"⫖↰⪸0⊢⫖↰⪸1B368AA6=⫖↰⪸-184","layer":2},{"info":"⫖↰⪸B89≎⊠⪸⫖↰⪸2749=⫖↰⪸190A6A","layer":3},{"info":"⫖↰⪸7AA⊢⫖↰⪸1325=⫖↰⪸-1560","layer":3},{"info":"⫖↰⪸190A6A⩒⫫⫖↰⪸-1560=⫖↰⪸190858","layer":2},{"info":"⫖↰⪸-184⫸⊐⫖↰⪸190858=⫖↰⪸180","layer":1},{"info":"⫖↰⪸274A⇴∐⫖↰⪸1383=NaN","layer":3},{"info":"⫖↰⪸2A00⪔⊥⫖↰⪸3413=⫖↰⪸464B","layer":3},{"info":"NaN∀⇚≩⫖↰⪸464B=NaN","layer":2},{"info":"⫖↰⪸AA2∌⫖↰⪸1150=⫖↰⪸-1150","layer":3},{"info":"⫖↰⪸1052≋⫹=⫖↰⪸-20A4","layer":3},{"info":"⫖↰⪸-1150⩧⪆⫖↰⪸-20A4=⫖↰⪸20A4","layer":2},{"info":"NaN↤⩊⫖↰⪸20A4=NaN","layer":1},{"info":"⫖↰⪸180⪡NaN=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"(⫓⪴($1071$⩹$4390$))⇣⩺⋵(($4844$⪥$1738$)⩘⨬⇊)≥⨤⩑(($1113$⪉⨛$3170$)↺$3981$⨟⋌⩍$5266$)↞⋁(($6760$-$2897$)↬$1016$⩌⋺$7204$)","expression":"(⫓⪴(⫖↰⪸753⩹⫖↰⪸265A))⇣⩺⋵((⫖↰⪸2978⪥⫖↰⪸100A)⩘⨬⇊)≥⨤⩑((⫖↰⪸789⪉⨛⫖↰⪸1A02)↺⫖↰⪸2379⨟⋌⩍⫖↰⪸306A)↞⋁((⫖↰⪸3AB4-⫖↰⪸1815)↬⫖↰⪸708⩌⋺⫖↰⪸4204)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15170,"operation_count":13,"complexity_ratio":1166.923076923077,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1071,"base":12},"right_expr":{"type":"numeric_atoms","value":4390,"base":12}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4844,"base":12},"right_expr":{"type":"numeric_atoms","value":1738,"base":12}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1113,"base":12},"right_expr":{"type":"numeric_atoms","value":3170,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3981,"base":12},"right_expr":{"type":"numeric_atoms","value":5266,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6760,"base":12},"right_expr":{"type":"numeric_atoms","value":2897,"base":12}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1016,"base":12},"right_expr":{"type":"numeric_atoms","value":7204,"base":12}}}}},"used_operators":["gJLn6v0xnP","F4yD0voBRQ","eLxqMNBOBk","2Wsdkap16l","XXmTpEpWTW","QbnwKVWMIQ","RqrPlJkxDo","7j4O788W3g","EWw2JM7wp4","rGHVDoGpnC","B5M0gjZbta","rysDP5nf3Z","g7Hmc5v1ko"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Tcnh7f0tEr","rGHVDoGpnC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=4390","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=4390, 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=4388","layer":3},{"info":"compute unary expreesion, input=4388, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=19254544","layer":2},{"info":"number node, value=4844","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=4844, right_input=1738, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24028","layer":3},{"info":"compute unary expreesion, input=24028, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19254544, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=1113","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=3170, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=384","layer":3},{"info":"number node, value=3981","layer":4},{"info":"number node, value=5266","layer":4},{"info":"compute binary expreesion, left_input=3981, right_input=5266, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=384, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=6760","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=6760, right_input=2897, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3863","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=7204","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=7204, 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=-8341","layer":3},{"info":"compute binary expreesion, left_input=3863, right_input=-8341, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(⫖↰⪸753⩹⫖↰⪸265A))⇣⩺⋵((⫖↰⪸2978⪥⫖↰⪸100A)⩘⨬⇊)≥⨤⩑((⫖↰⪸789⪉⨛⫖↰⪸1A02)↺⫖↰⪸2379⨟⋌⩍⫖↰⪸306A)↞⋁((⫖↰⪸3AB4-⫖↰⪸1815)↬⫖↰⪸708⩌⋺⫖↰⪸4204)=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(⫓⪴(⫖↰⪸753⩹⫖↰⪸265A))⇣⩺⋵((⫖↰⪸2978⪥⫖↰⪸100A)⩘⨬⇊)≥⨤⩑((⫖↰⪸789⪉⨛⫖↰⪸1A02)↺⫖↰⪸2379⨟⋌⩍⫖↰⪸306A)↞⋁((⫖↰⪸3AB4-⫖↰⪸1815)↬⫖↰⪸708⩌⋺⫖↰⪸4204)","cot":[{"info":"⫖↰⪸753⩹⫖↰⪸265A=⫖↰⪸2658","layer":3},{"info":"⫓⪴⫖↰⪸2658=⫖↰⪸6546814","layer":2},{"info":"⫖↰⪸2978⪥⫖↰⪸100A=⫖↰⪸11AA4","layer":3},{"info":"⫖↰⪸11AA4⩘⨬⇊=NaN","layer":2},{"info":"⫖↰⪸6546814⇣⩺⋵NaN=⫖↰⪸-198","layer":1},{"info":"⫖↰⪸789⪉⨛⫖↰⪸1A02=⫖↰⪸280","layer":3},{"info":"⫖↰⪸2379⨟⋌⩍⫖↰⪸306A=NaN","layer":3},{"info":"⫖↰⪸280↺NaN=NaN","layer":2},{"info":"⫖↰⪸3AB4-⫖↰⪸1815=⫖↰⪸229B","layer":3},{"info":"⫖↰⪸708⩌⋺⫖↰⪸4204=⫖↰⪸-49B1","layer":3},{"info":"⫖↰⪸229B↬⫖↰⪸-49B1=NaN","layer":2},{"info":"NaN↞⋁NaN=NaN","layer":1},{"info":"⫖↰⪸-198≥⨤⩑NaN=⫖↰⪸86A","layer":0}]}
{"id":340,"expression_no_base_symbol":"($5466$⋛$1067$⪭$2782$⨿$2946$)⨸((∂⩏⊆$3255$)/$4232$⩼⇪↪$1033$)-(⫶⊄≣((→⩰$1542$)⊝⪿⪼$3483$∣$3073$))","expression":"(⫖↰⪸31B6⋛⫖↰⪸74B⪭⫖↰⪸173A⨿⫖↰⪸1856)⨸((∂⩏⊆⫖↰⪸1A73)/⫖↰⪸2548⩼⇪↪⫖↰⪸721)-(⫶⊄≣((→⩰⫖↰⪸A86)⊝⪿⪼⫖↰⪸2023∣⫖↰⪸1941))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":85440,"operation_count":12,"complexity_ratio":7120.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5466,"base":12},"right_expr":{"type":"numeric_atoms","value":1067,"base":12}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2782,"base":12},"right_expr":{"type":"numeric_atoms","value":2946,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":3255,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4232,"base":12},"right_expr":{"type":"numeric_atoms","value":1033,"base":12}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1542,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3483,"base":12},"right_expr":{"type":"numeric_atoms","value":3073,"base":12}}}}},"used_operators":["rysDP5nf3Z","KmoU8R5UQR","j9kHMeSvPp","YbUVn0Rbpy","abYXlopdE0","XhwjNDsVaA","8WDwsbhb0R","ocnLzx9CaJ","wxb3vTeyAj","3Oe9XWJUTD","o8Pngz0Tml","PPChnnnBFF"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","COABgblf1C","xUOZtlo3hN","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","14qkJME0vr","eLAdDNolq6","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5466","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=1067, 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=-82998","layer":3},{"info":"number node, value=2782","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=2946, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-82998, right_input=-319, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=82824","layer":2},{"info":"number node, value=3255","layer":4},{"info":"compute unary expreesion, input=3255, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-9844","layer":3},{"info":"number node, value=4232","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=1033, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-9844, right_input=450, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-22","layer":2},{"info":"compute binary expreesion, left_input=82824, right_input=-22, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=165648","layer":1},{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=3483","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=3073, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3483","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3483, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=165648, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸31B6⋛⫖↰⪸74B⪭⫖↰⪸173A⨿⫖↰⪸1856)⨸((∂⩏⊆⫖↰⪸1A73)/⫖↰⪸2548⩼⇪↪⫖↰⪸721)-(⫶⊄≣((→⩰⫖↰⪸A86)⊝⪿⪼⫖↰⪸2023∣⫖↰⪸1941))=NaN","reverse_text":"NaN=(⫖↰⪸31B6⋛⫖↰⪸74B⪭⫖↰⪸173A⨿⫖↰⪸1856)⨸((∂⩏⊆⫖↰⪸1A73)/⫖↰⪸2548⩼⇪↪⫖↰⪸721)-(⫶⊄≣((→⩰⫖↰⪸A86)⊝⪿⪼⫖↰⪸2023∣⫖↰⪸1941))","cot":[{"info":"⫖↰⪸31B6⋛⫖↰⪸74B=⫖↰⪸-40046","layer":3},{"info":"⫖↰⪸173A⨿⫖↰⪸1856=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸-40046⪭⫖↰⪸-227=⫖↰⪸3BB20","layer":2},{"info":"∂⩏⊆⫖↰⪸1A73=⫖↰⪸-5844","layer":3},{"info":"⫖↰⪸2548⩼⇪↪⫖↰⪸721=⫖↰⪸316","layer":3},{"info":"⫖↰⪸-5844/⫖↰⪸316=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸3BB20⨸⫖↰⪸-1A=⫖↰⪸7BA40","layer":1},{"info":"→⩰⫖↰⪸A86=NaN","layer":3},{"info":"⫖↰⪸2023∣⫖↰⪸1941=⫖↰⪸2023","layer":3},{"info":"NaN⊝⪿⪼⫖↰⪸2023=NaN","layer":2},{"info":"⫶⊄≣NaN=NaN","layer":1},{"info":"⫖↰⪸7BA40-NaN=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"∨∊⋏(⪓⩚(⪝⪂⫅(⇺⋃$5231$)))","expression":"∨∊⋏(⪓⩚(⪝⪂⫅(⇺⋃⫖↰⪸303B)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3492,"operation_count":4,"complexity_ratio":873.0,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":5231,"base":12}}}}},"used_operators":["R5aXW34M0v","u0R0Locfp2","XTarYq4gQB","E5v5B3UAjG"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9HNa5Wba9A","8w2t5hMYqp","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"⫖↰⪸-1881","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5231","layer":4},{"info":"compute unary expreesion, input=5231, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute unary expreesion, input=426, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-2977","layer":0}],"base":12,"result_base":12,"text":"∨∊⋏(⪓⩚(⪝⪂⫅(⇺⋃⫖↰⪸303B)))=⫖↰⪸-1881","reverse_text":"⫖↰⪸-1881=∨∊⋏(⪓⩚(⪝⪂⫅(⇺⋃⫖↰⪸303B)))","cot":[{"info":"⇺⋃⫖↰⪸303B=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⪓⩚NaN=⫖↰⪸2B6","layer":1},{"info":"∨∊⋏⫖↰⪸2B6=⫖↰⪸-1881","layer":0}]}
{"id":342,"expression_no_base_symbol":"(((↞≼$1416$)⫚↹⊑(⇠$5975$))⪑⩈)⨓((≸$3977$)⫥∨⫟(⨙⪌$5276$))⩁⩘($1212$⩵∡$1223$)⊱⇼⊻($1158$⇚⪠)","expression":"(((↞≼⫖↰⪸9A0)⫚↹⊑(⇠⫖↰⪸355B))⪑⩈)⨓((≸⫖↰⪸2375)⫥∨⫟(⨙⪌⫖↰⪸3078))⩁⩘(⫖↰⪸850⩵∡⫖↰⪸85B)⊱⇼⊻(⫖↰⪸806⇚⪠)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2392,"operation_count":12,"complexity_ratio":199.33333333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1416,"base":12}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":5975,"base":12}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3977,"base":12}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":5276,"base":12}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1212,"base":12},"right_expr":{"type":"numeric_atoms","value":1223,"base":12}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1158,"base":12}}}}},"used_operators":["3ViojmjbAp","C6VvDP6HwP","dfKe02y8D2","DE7zCoGJt9","18saOjeKKm","gub5Cegaqo","KYD54nUTWz","eOf03JbCpp","vEGLkm4Z2k","FyVja0WsTP","Y7wcNGrDQJ","Loh9y4A90B"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI","8HhzD0ZcuI","rGHVDoGpnC","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=10914","layer":3},{"info":"number node, value=5975","layer":4},{"info":"compute unary expreesion, input=5975, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-5733","layer":3},{"info":"compute binary expreesion, left_input=10914, right_input=-5733, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=489","layer":1},{"info":"number node, value=3977","layer":4},{"info":"compute unary expreesion, input=3977, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=5276","layer":4},{"info":"compute unary expreesion, input=5276, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=868, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1212","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=1223, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1322","layer":3},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=2681928","layer":3},{"info":"compute binary expreesion, left_input=-1322, right_input=2681928, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=5492","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5492, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=489, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((↞≼⫖↰⪸9A0)⫚↹⊑(⇠⫖↰⪸355B))⪑⩈)⨓((≸⫖↰⪸2375)⫥∨⫟(⨙⪌⫖↰⪸3078))⩁⩘(⫖↰⪸850⩵∡⫖↰⪸85B)⊱⇼⊻(⫖↰⪸806⇚⪠)=NaN","reverse_text":"NaN=(((↞≼⫖↰⪸9A0)⫚↹⊑(⇠⫖↰⪸355B))⪑⩈)⨓((≸⫖↰⪸2375)⫥∨⫟(⨙⪌⫖↰⪸3078))⩁⩘(⫖↰⪸850⩵∡⫖↰⪸85B)⊱⇼⊻(⫖↰⪸806⇚⪠)","cot":[{"info":"↞≼⫖↰⪸9A0=⫖↰⪸6396","layer":3},{"info":"⇠⫖↰⪸355B=⫖↰⪸-3399","layer":3},{"info":"⫖↰⪸6396⫚↹⊑⫖↰⪸-3399=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸-313⪑⩈=⫖↰⪸349","layer":1},{"info":"≸⫖↰⪸2375=⫖↰⪸4A","layer":3},{"info":"⨙⪌⫖↰⪸3078=⫖↰⪸604","layer":3},{"info":"⫖↰⪸4A⫥∨⫟⫖↰⪸604=NaN","layer":2},{"info":"⫖↰⪸850⩵∡⫖↰⪸85B=⫖↰⪸-922","layer":3},{"info":"⫖↰⪸806⇚⪠=⫖↰⪸A94060","layer":3},{"info":"⫖↰⪸-922⊱⇼⊻⫖↰⪸A94060=⫖↰⪸3218","layer":2},{"info":"NaN⩁⩘⫖↰⪸3218=NaN","layer":1},{"info":"⫖↰⪸349⨓NaN=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"((⨵(⨝⨆$1233$))⫃⨇$4595$⨂≜$3954$⫉⨲⊜$2725$⨔⇊$3506$)≳⇉$4520$⩦$3253$⨔⇊(≑⋹$6738$)⨓($1688$⩍⋽⫝̸$4435$∷(⩒∊$9277$))","expression":"((⨵(⨝⨆⫖↰⪸869))⫃⨇⫖↰⪸27AB⨂≜⫖↰⪸2356⫉⨲⊜⫖↰⪸16B1⨔⇊⫖↰⪸2042)≳⇉⫖↰⪸2748⩦⫖↰⪸1A71⨔⇊(≑⋹⫖↰⪸3A96)⨓(⫖↰⪸B88⩍⋽⫝̸⫖↰⪸2697∷(⩒∊⫖↰⪸5451))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":40681,"operation_count":14,"complexity_ratio":2905.785714285714,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1233,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4595,"base":12},"right_expr":{"type":"numeric_atoms","value":3954,"base":12}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2725,"base":12},"right_expr":{"type":"numeric_atoms","value":3506,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4520,"base":12},"right_expr":{"type":"numeric_atoms","value":3253,"base":12}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":6738,"base":12}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1688,"base":12},"right_expr":{"type":"numeric_atoms","value":4435,"base":12}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":9277,"base":12}}}}},"used_operators":["V0kx6qeWkN","09Ly4LVMIf","Tl3Y52tvF8","bQ67fsrMVf","WhqkvtTD3t","k1SHOSEABc","JclMnS0uGI","3ViojmjbAp","0kmYd0q39Y","6B9nyZLogK","D3AQDKkPcf","BiWNJpBvwn","qazvmhNBbN"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","tifHPKVTfV","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Ph9nP6C5qx","xUOZtlo3hN","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1024","layer":3},{"info":"compute unary expreesion, input=1024, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-9401","layer":2},{"info":"number node, value=4595","layer":4},{"info":"number node, value=3954","layer":4},{"info":"compute binary expreesion, left_input=4595, right_input=3954, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2725","layer":4},{"info":"number node, value=3506","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=3506, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3506","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3506, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9401, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=4520","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=4520, right_input=3253, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=9040","layer":3},{"info":"number node, value=6738","layer":4},{"info":"compute unary expreesion, input=6738, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=9040, right_input=1650, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1650","layer":2},{"info":"number node, value=1688","layer":4},{"info":"number node, value=4435","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=4435, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3489","layer":3},{"info":"number node, value=9277","layer":4},{"info":"compute unary expreesion, input=9277, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=17797","layer":3},{"info":"compute binary expreesion, left_input=3489, right_input=17797, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=17797","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=17797, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-17800","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17800, 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":12,"result_base":12,"text":"((⨵(⨝⨆⫖↰⪸869))⫃⨇⫖↰⪸27AB⨂≜⫖↰⪸2356⫉⨲⊜⫖↰⪸16B1⨔⇊⫖↰⪸2042)≳⇉⫖↰⪸2748⩦⫖↰⪸1A71⨔⇊(≑⋹⫖↰⪸3A96)⨓(⫖↰⪸B88⩍⋽⫝̸⫖↰⪸2697∷(⩒∊⫖↰⪸5451))=NaN","reverse_text":"NaN=((⨵(⨝⨆⫖↰⪸869))⫃⨇⫖↰⪸27AB⨂≜⫖↰⪸2356⫉⨲⊜⫖↰⪸16B1⨔⇊⫖↰⪸2042)≳⇉⫖↰⪸2748⩦⫖↰⪸1A71⨔⇊(≑⋹⫖↰⪸3A96)⨓(⫖↰⪸B88⩍⋽⫝̸⫖↰⪸2697∷(⩒∊⫖↰⪸5451))","cot":[{"info":"⨝⨆⫖↰⪸869=⫖↰⪸714","layer":3},{"info":"⨵⫖↰⪸714=⫖↰⪸-5535","layer":2},{"info":"⫖↰⪸27AB⨂≜⫖↰⪸2356=NaN","layer":3},{"info":"⫖↰⪸16B1⨔⇊⫖↰⪸2042=⫖↰⪸2042","layer":3},{"info":"NaN⫉⨲⊜⫖↰⪸2042=NaN","layer":2},{"info":"⫖↰⪸-5535⫃⨇NaN=NaN","layer":1},{"info":"⫖↰⪸2748⩦⫖↰⪸1A71=⫖↰⪸5294","layer":3},{"info":"≑⋹⫖↰⪸3A96=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸5294⨔⇊⫖↰⪸B56=⫖↰⪸B56","layer":2},{"info":"⫖↰⪸B88⩍⋽⫝̸⫖↰⪸2697=⫖↰⪸2029","layer":3},{"info":"⩒∊⫖↰⪸5451=⫖↰⪸A371","layer":3},{"info":"⫖↰⪸2029∷⫖↰⪸A371=⫖↰⪸A371","layer":2},{"info":"⫖↰⪸B56⨓⫖↰⪸A371=⫖↰⪸-A374","layer":1},{"info":"NaN≳⇉⫖↰⪸-A374=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"((⫶⊄≣($1561$⪕$1663$))⨔≚≋($5259$⨼⩣$1108$⊬⫿⊭))⪗","expression":"((⫶⊄≣(⫖↰⪸AA1⪕⫖↰⪸B67))⨔≚≋(⫖↰⪸3063⨼⩣⫖↰⪸784⊬⫿⊭))⪗","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2836,"operation_count":6,"complexity_ratio":472.6666666666667,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1561,"base":12},"right_expr":{"type":"numeric_atoms","value":1663,"base":12}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5259,"base":12},"right_expr":{"type":"numeric_atoms","value":1108,"base":12}}}}},"used_operators":["VEQNXA0ZBg","Z57zeUYC9z","wxb3vTeyAj","umQnsF7QlU","v0DYgG9ikt","JxwMv5le6e"],"dependent_operators":["dWAJyo7jo9","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1561","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=1663, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2360","layer":3},{"info":"compute unary expreesion, input=2360, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=100291969","layer":2},{"info":"number node, value=5259","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=5259, right_input=1108, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=100291969, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫶⊄≣(⫖↰⪸AA1⪕⫖↰⪸B67))⨔≚≋(⫖↰⪸3063⨼⩣⫖↰⪸784⊬⫿⊭))⪗=NaN","reverse_text":"NaN=((⫶⊄≣(⫖↰⪸AA1⪕⫖↰⪸B67))⨔≚≋(⫖↰⪸3063⨼⩣⫖↰⪸784⊬⫿⊭))⪗","cot":[{"info":"⫖↰⪸AA1⪕⫖↰⪸B67=⫖↰⪸1448","layer":3},{"info":"⫶⊄≣⫖↰⪸1448=⫖↰⪸29707401","layer":2},{"info":"⫖↰⪸3063⨼⩣⫖↰⪸784=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"⫖↰⪸29707401⨔≚≋NaN=NaN","layer":1},{"info":"NaN⪗=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"($2187$⊴$4522$⋥≓≎($5969$⋻⩜⩜$2928$)%$1314$⊔$2470$⋅⇍($1487$⪉⨛$1538$))⋣⋖((≋$3768$)⪇≇⋚$6813$⪍↜⋙$1049$)⩣⫁∢($2732$⪭$3623$*$2296$⊋≦⊧$2340$)","expression":"(⫖↰⪸1323⊴⫖↰⪸274A⋥≓≎(⫖↰⪸3555⋻⩜⩜⫖↰⪸1840)%⫖↰⪸916⊔⫖↰⪸151A⋅⇍(⫖↰⪸A3B⪉⨛⫖↰⪸A82))⋣⋖((≋⫖↰⪸2220)⪇≇⋚⫖↰⪸3B39⪍↜⋙⫖↰⪸735)⩣⫁∢(⫖↰⪸16B8⪭⫖↰⪸211B*⫖↰⪸13B4⊋≦⊧⫖↰⪸1430)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":45653,"operation_count":15,"complexity_ratio":3043.5333333333333,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2187,"base":12},"right_expr":{"type":"numeric_atoms","value":4522,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5969,"base":12},"right_expr":{"type":"numeric_atoms","value":2928,"base":12}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1314,"base":12},"right_expr":{"type":"numeric_atoms","value":2470,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1487,"base":12},"right_expr":{"type":"numeric_atoms","value":1538,"base":12}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3768,"base":12}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6813,"base":12},"right_expr":{"type":"numeric_atoms","value":1049,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2732,"base":12},"right_expr":{"type":"numeric_atoms","value":3623,"base":12}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2296,"base":12},"right_expr":{"type":"numeric_atoms","value":2340,"base":12}}}}},"used_operators":["J0M6qkBnIM","k8jYdgA6NY","Qy55tPpLXF","Nsiff2A1zJ","oDCm7WA9JY","AdZkA7nFnk","E4l6HwMY31","EWw2JM7wp4","JDUIKTTSIa","3sJ7IOPOlU","61wBmkZwlr","L05ObWFQCd","9HNa5Wba9A","j9kHMeSvPp","oRDoc9rAEX"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","7j4O788W3g","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","COABgblf1C","xUOZtlo3hN","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2187","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=4522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5969","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=5969, right_input=2928, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=11938","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11938, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1314","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=2470, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=12578","layer":3},{"info":"number node, value=1487","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=1538, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3138","layer":3},{"info":"compute binary expreesion, left_input=12578, right_input=3138, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-22, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-21","layer":1},{"info":"number node, value=3768","layer":4},{"info":"compute unary expreesion, input=3768, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3768","layer":3},{"info":"number node, value=6813","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=6813, right_input=1049, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=11528","layer":3},{"info":"compute binary expreesion, left_input=3768, right_input=11528, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2732","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=3623, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=2340, 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=-4396","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-4396, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-21980","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-21980, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=161, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1323⊴⫖↰⪸274A⋥≓≎(⫖↰⪸3555⋻⩜⩜⫖↰⪸1840)%⫖↰⪸916⊔⫖↰⪸151A⋅⇍(⫖↰⪸A3B⪉⨛⫖↰⪸A82))⋣⋖((≋⫖↰⪸2220)⪇≇⋚⫖↰⪸3B39⪍↜⋙⫖↰⪸735)⩣⫁∢(⫖↰⪸16B8⪭⫖↰⪸211B*⫖↰⪸13B4⊋≦⊧⫖↰⪸1430)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=(⫖↰⪸1323⊴⫖↰⪸274A⋥≓≎(⫖↰⪸3555⋻⩜⩜⫖↰⪸1840)%⫖↰⪸916⊔⫖↰⪸151A⋅⇍(⫖↰⪸A3B⪉⨛⫖↰⪸A82))⋣⋖((≋⫖↰⪸2220)⪇≇⋚⫖↰⪸3B39⪍↜⋙⫖↰⪸735)⩣⫁∢(⫖↰⪸16B8⪭⫖↰⪸211B*⫖↰⪸13B4⊋≦⊧⫖↰⪸1430)","cot":[{"info":"⫖↰⪸1323⊴⫖↰⪸274A=NaN","layer":3},{"info":"⫖↰⪸3555⋻⩜⩜⫖↰⪸1840=⫖↰⪸6AAA","layer":3},{"info":"NaN⋥≓≎⫖↰⪸6AAA=⫖↰⪸57","layer":2},{"info":"⫖↰⪸916⊔⫖↰⪸151A=⫖↰⪸7342","layer":3},{"info":"⫖↰⪸A3B⪉⨛⫖↰⪸A82=⫖↰⪸1996","layer":3},{"info":"⫖↰⪸7342⋅⇍⫖↰⪸1996=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸57%⫖↰⪸-1A=⫖↰⪸-19","layer":1},{"info":"≋⫖↰⪸2220=⫖↰⪸2220","layer":3},{"info":"⫖↰⪸3B39⪍↜⋙⫖↰⪸735=⫖↰⪸6808","layer":3},{"info":"⫖↰⪸2220⪇≇⋚⫖↰⪸6808=⫖↰⪸0","layer":2},{"info":"⫖↰⪸16B8⪭⫖↰⪸211B=⫖↰⪸5","layer":3},{"info":"⫖↰⪸13B4⊋≦⊧⫖↰⪸1430=⫖↰⪸-2664","layer":3},{"info":"⫖↰⪸5*⫖↰⪸-2664=⫖↰⪸-10878","layer":2},{"info":"⫖↰⪸0⩣⫁∢⫖↰⪸-10878=⫖↰⪸115","layer":1},{"info":"⫖↰⪸-19⋣⋖⫖↰⪸115=⫖↰⪸-19","layer":0}]}
{"id":346,"expression_no_base_symbol":"⫟($2592$⪶≀⋏$3515$⋅⇍$3726$⨸$2482$)⇂≾⫗($8176$⫦⪉$2367$%($1140$⨶))","expression":"⫟(⫖↰⪸1600⪶≀⋏⫖↰⪸204B⋅⇍⫖↰⪸21A6⨸⫖↰⪸152A)⇂≾⫗(⫖↰⪸4894⫦⪉⫖↰⪸1453%(⫖↰⪸7B0⨶))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4000,"operation_count":8,"complexity_ratio":500.0,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2592,"base":12},"right_expr":{"type":"numeric_atoms","value":3515,"base":12}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3726,"base":12},"right_expr":{"type":"numeric_atoms","value":2482,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":8176,"base":12},"right_expr":{"type":"numeric_atoms","value":2367,"base":12}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1140,"base":12}}}}},"used_operators":["z4E1FaHLuy","aBQ6xLxuTc","AdZkA7nFnk","zR4jO40bMj","KmoU8R5UQR","k8jYdgA6NY","wscyQdcy20","rFxw8gIMmB"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","f6k1SAg4EE","Qy55tPpLXF"],"result":"⫖↰⪸1BBA","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2592","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=3515, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15038","layer":3},{"info":"number node, value=3726","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=2482, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7452","layer":3},{"info":"compute binary expreesion, left_input=-15038, right_input=7452, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=8176","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=8176, right_input=2367, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-11452","layer":3},{"info":"number node, value=1140","layer":4},{"info":"compute unary expreesion, input=1140, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=534","layer":3},{"info":"compute binary expreesion, left_input=-11452, right_input=534, op_id = k8jYdgA6NY binary_op_definition= 'None', output=296","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=296, 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 = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=3454","layer":0}],"base":12,"result_base":12,"text":"⫟(⫖↰⪸1600⪶≀⋏⫖↰⪸204B⋅⇍⫖↰⪸21A6⨸⫖↰⪸152A)⇂≾⫗(⫖↰⪸4894⫦⪉⫖↰⪸1453%(⫖↰⪸7B0⨶))=⫖↰⪸1BBA","reverse_text":"⫖↰⪸1BBA=⫟(⫖↰⪸1600⪶≀⋏⫖↰⪸204B⋅⇍⫖↰⪸21A6⨸⫖↰⪸152A)⇂≾⫗(⫖↰⪸4894⫦⪉⫖↰⪸1453%(⫖↰⪸7B0⨶))","cot":[{"info":"⫖↰⪸1600⪶≀⋏⫖↰⪸204B=⫖↰⪸-8852","layer":3},{"info":"⫖↰⪸21A6⨸⫖↰⪸152A=⫖↰⪸4390","layer":3},{"info":"⫖↰⪸-8852⋅⇍⫖↰⪸4390=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸4894⫦⪉⫖↰⪸1453=⫖↰⪸-6764","layer":3},{"info":"⫖↰⪸7B0⨶=⫖↰⪸386","layer":3},{"info":"⫖↰⪸-6764%⫖↰⪸386=⫖↰⪸208","layer":2},{"info":"⫖↰⪸-1A⇂≾⫗⫖↰⪸208=⫖↰⪸-484","layer":1},{"info":"⫟⫖↰⪸-484=⫖↰⪸1BBA","layer":0}]}
{"id":347,"expression_no_base_symbol":"($1097$≌$4968$↳≱($1850$⋣⋖$7612$)⩖⊿($1800$⨜⨶$5766$)∴($1605$∛$1696$))⨽∌((($2045$⩒⫫$1045$)+⪬∐($1094$↫))⇪⋭)","expression":"(⫖↰⪸775≌⫖↰⪸2A60↳≱(⫖↰⪸10A2⋣⋖⫖↰⪸44A4)⩖⊿(⫖↰⪸1060⨜⨶⫖↰⪸3406)∴(⫖↰⪸B19∛⫖↰⪸B94))⨽∌(((⫖↰⪸1225⩒⫫⫖↰⪸731)+⪬∐(⫖↰⪸772↫))⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5446,"operation_count":12,"complexity_ratio":453.8333333333333,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1097,"base":12},"right_expr":{"type":"numeric_atoms","value":4968,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1850,"base":12},"right_expr":{"type":"numeric_atoms","value":7612,"base":12}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1800,"base":12},"right_expr":{"type":"numeric_atoms","value":5766,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1605,"base":12},"right_expr":{"type":"numeric_atoms","value":1696,"base":12}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2045,"base":12},"right_expr":{"type":"numeric_atoms","value":1045,"base":12}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1094,"base":12}}}}},"used_operators":["9samAPKr6k","RZ5CV9rWsJ","JwTKLfZU96","lyWz822IDG","J0M6qkBnIM","hrf7POJlIJ","HiPekx5b7W","w2537kitQq","Z8Yg6dlDSp","2GS7woTJqF","KFSx94NKJn","uPb5QRN0te"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=4968, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1850","layer":4},{"info":"number node, value=7612","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=7612, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1850","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1850, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1800","layer":4},{"info":"number node, value=5766","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=5766, 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=-11276","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=1696, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-11276, right_input=-670, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-20904","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-20904, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=43722","layer":1},{"info":"number node, value=2045","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=1045, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1743","layer":3},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1743, right_input=160, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5229","layer":2},{"info":"compute unary expreesion, input=-5229, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=43722, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸775≌⫖↰⪸2A60↳≱(⫖↰⪸10A2⋣⋖⫖↰⪸44A4)⩖⊿(⫖↰⪸1060⨜⨶⫖↰⪸3406)∴(⫖↰⪸B19∛⫖↰⪸B94))⨽∌(((⫖↰⪸1225⩒⫫⫖↰⪸731)+⪬∐(⫖↰⪸772↫))⇪⋭)=NaN","reverse_text":"NaN=(⫖↰⪸775≌⫖↰⪸2A60↳≱(⫖↰⪸10A2⋣⋖⫖↰⪸44A4)⩖⊿(⫖↰⪸1060⨜⨶⫖↰⪸3406)∴(⫖↰⪸B19∛⫖↰⪸B94))⨽∌(((⫖↰⪸1225⩒⫫⫖↰⪸731)+⪬∐(⫖↰⪸772↫))⇪⋭)","cot":[{"info":"⫖↰⪸775≌⫖↰⪸2A60=NaN","layer":3},{"info":"⫖↰⪸10A2⋣⋖⫖↰⪸44A4=⫖↰⪸10A2","layer":3},{"info":"NaN↳≱⫖↰⪸10A2=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1060⨜⨶⫖↰⪸3406=⫖↰⪸-6638","layer":3},{"info":"⫖↰⪸B19∛⫖↰⪸B94=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸-6638∴⫖↰⪸-47A=⫖↰⪸-10120","layer":2},{"info":"⫖↰⪸0⩖⊿⫖↰⪸-10120=⫖↰⪸21376","layer":1},{"info":"⫖↰⪸1225⩒⫫⫖↰⪸731=⫖↰⪸1013","layer":3},{"info":"⫖↰⪸772↫=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1013+⪬∐⫖↰⪸114=⫖↰⪸-3039","layer":2},{"info":"⫖↰⪸-3039⇪⋭=NaN","layer":1},{"info":"⫖↰⪸21376⨽∌NaN=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"($4946$→⨶⪴$4361$≬⇓$1243$∳⫺$7283$∖$1169$⋕⪉⪜$4664$∷$8041$⪡$2978$)≝⊿($2110$⨸$3211$↳≱($1731$⪪$2788$)⨫⇇↔($1952$≁↽≥$1417$↙$5022$⩦$1702$))","expression":"(⫖↰⪸2A42→⨶⪴⫖↰⪸2635≬⇓⫖↰⪸877∳⫺⫖↰⪸426B∖⫖↰⪸815⋕⪉⪜⫖↰⪸2848∷⫖↰⪸47A1⪡⫖↰⪸1882)≝⊿(⫖↰⪸127A⨸⫖↰⪸1A37↳≱(⫖↰⪸1003⪪⫖↰⪸1744)⨫⇇↔(⫖↰⪸1168≁↽≥⫖↰⪸9A1↙⫖↰⪸2AA6⩦⫖↰⪸B9A))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":57401,"operation_count":15,"complexity_ratio":3826.733333333333,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4946,"base":12},"right_expr":{"type":"numeric_atoms","value":4361,"base":12}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1243,"base":12},"right_expr":{"type":"numeric_atoms","value":7283,"base":12}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1169,"base":12},"right_expr":{"type":"numeric_atoms","value":4664,"base":12}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":8041,"base":12},"right_expr":{"type":"numeric_atoms","value":2978,"base":12}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2110,"base":12},"right_expr":{"type":"numeric_atoms","value":3211,"base":12}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1731,"base":12},"right_expr":{"type":"numeric_atoms","value":2788,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1952,"base":12},"right_expr":{"type":"numeric_atoms","value":1417,"base":12}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":5022,"base":12},"right_expr":{"type":"numeric_atoms","value":1702,"base":12}}}}},"used_operators":["OKKcZfAt5B","tXD093vOjl","jWTQ2TZYIH","bF6eod5Gvf","AzXXKTstlj","D3AQDKkPcf","z6LnFrNh4i","oraRL2iQuh","LXhwmt4mBO","JwTKLfZU96","KmoU8R5UQR","xD69zh8xqp","yyfyN0ffXY","ncHt1X6cMc","0kmYd0q39Y"],"dependent_operators":["12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","8w2t5hMYqp","9FxExcQeMw","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","FU0Cs4j7VP","JclMnS0uGI","tmPS8pqC7x","DpFCA1CohY","oWn0xqSxBt","3Oe9XWJUTD","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⫖↰⪸375","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4946","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=4946, right_input=4361, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-13083","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=7283","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=7283, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9532","layer":3},{"info":"compute binary expreesion, left_input=-13083, right_input=-9532, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=1713166940","layer":2},{"info":"number node, value=1169","layer":4},{"info":"number node, value=4664","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=4664, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=8041","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=8041, right_input=2978, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=107, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=107","layer":2},{"info":"compute binary expreesion, left_input=1713166940, right_input=107, 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=2110","layer":4},{"info":"number node, value=3211","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=3211, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4220","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=2788, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-257470","layer":3},{"info":"compute binary expreesion, left_input=4220, right_input=-257470, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1952","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=1417, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=32386","layer":3},{"info":"number node, value=5022","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=5022, right_input=1702, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=10044","layer":3},{"info":"compute binary expreesion, left_input=32386, right_input=10044, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-30132","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-30132, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=521","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2A42→⨶⪴⫖↰⪸2635≬⇓⫖↰⪸877∳⫺⫖↰⪸426B∖⫖↰⪸815⋕⪉⪜⫖↰⪸2848∷⫖↰⪸47A1⪡⫖↰⪸1882)≝⊿(⫖↰⪸127A⨸⫖↰⪸1A37↳≱(⫖↰⪸1003⪪⫖↰⪸1744)⨫⇇↔(⫖↰⪸1168≁↽≥⫖↰⪸9A1↙⫖↰⪸2AA6⩦⫖↰⪸B9A))=⫖↰⪸375","reverse_text":"⫖↰⪸375=(⫖↰⪸2A42→⨶⪴⫖↰⪸2635≬⇓⫖↰⪸877∳⫺⫖↰⪸426B∖⫖↰⪸815⋕⪉⪜⫖↰⪸2848∷⫖↰⪸47A1⪡⫖↰⪸1882)≝⊿(⫖↰⪸127A⨸⫖↰⪸1A37↳≱(⫖↰⪸1003⪪⫖↰⪸1744)⨫⇇↔(⫖↰⪸1168≁↽≥⫖↰⪸9A1↙⫖↰⪸2AA6⩦⫖↰⪸B9A))","cot":[{"info":"⫖↰⪸2A42→⨶⪴⫖↰⪸2635=⫖↰⪸-76A3","layer":3},{"info":"⫖↰⪸877∳⫺⫖↰⪸426B=⫖↰⪸-5624","layer":3},{"info":"⫖↰⪸-76A3≬⇓⫖↰⪸-5624=⫖↰⪸3B98A0078","layer":2},{"info":"⫖↰⪸815⋕⪉⪜⫖↰⪸2848=⫖↰⪸150","layer":3},{"info":"⫖↰⪸47A1⪡⫖↰⪸1882=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸150∷⫖↰⪸8B=⫖↰⪸8B","layer":2},{"info":"⫖↰⪸3B98A0078∖⫖↰⪸8B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸127A⨸⫖↰⪸1A37=⫖↰⪸2538","layer":3},{"info":"⫖↰⪸1003⪪⫖↰⪸1744=⫖↰⪸-104BBA","layer":3},{"info":"⫖↰⪸2538↳≱⫖↰⪸-104BBA=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1168≁↽≥⫖↰⪸9A1=⫖↰⪸168AA","layer":3},{"info":"⫖↰⪸2AA6⩦⫖↰⪸B9A=⫖↰⪸5990","layer":3},{"info":"⫖↰⪸168AA↙⫖↰⪸5990=⫖↰⪸-15530","layer":2},{"info":"⫖↰⪸0⨫⇇↔⫖↰⪸-15530=⫖↰⪸-37B","layer":1},{"info":"⫖↰⪸0≝⊿⫖↰⪸-37B=⫖↰⪸375","layer":0}]}
{"id":349,"expression_no_base_symbol":"((⨰⫟⨤$2130$)⫞⩸⩒($2779$∌↝$2002$))≁↽≥((⇙⪊$4414$)⨒$1121$↡⊰⫅$1898$)⩧⪆((⪹$1245$)⇀∌)⨔⇊(↩$4499$⋣⋖$3773$)","expression":"((⨰⫟⨤⫖↰⪸1296)⫞⩸⩒(⫖↰⪸1737∌↝⫖↰⪸11AA))≁↽≥((⇙⪊⫖↰⪸267A)⨒⫖↰⪸795↡⊰⫅⫖↰⪸1122)⩧⪆((⪹⫖↰⪸879)⇀∌)⨔⇊(↩⫖↰⪸272B⋣⋖⫖↰⪸2225)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35604,"operation_count":13,"complexity_ratio":2738.769230769231,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2130,"base":12}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2779,"base":12},"right_expr":{"type":"numeric_atoms","value":2002,"base":12}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4414,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1121,"base":12},"right_expr":{"type":"numeric_atoms","value":1898,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1245,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4499,"base":12},"right_expr":{"type":"numeric_atoms","value":3773,"base":12}}}}},"used_operators":["Ikt5ks8PT7","ncHt1X6cMc","XGcMNugi78","Tw270M8GLb","9Isq31Ruls","y75s1iXyHd","pB6Fcnrjim","VCtxkLNOzz","JclMnS0uGI","2k53nXOpI5","USyYr0JgAa","jLgFTUHLKL","J0M6qkBnIM"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","tifHPKVTfV","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫖↰⪸-57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":4},{"info":"compute unary expreesion, input=2130, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2779","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=2779, right_input=2002, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"number node, value=4414","layer":4},{"info":"compute unary expreesion, input=4414, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1898, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3796","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3796, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1336336","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1336336, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1065","layer":3},{"info":"compute unary expreesion, input=-1065, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=4499","layer":4},{"info":"number node, value=3773","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=3773, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4499","layer":3},{"info":"compute unary expreesion, input=4499, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33212","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-33212, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-67","layer":0}],"base":12,"result_base":12,"text":"((⨰⫟⨤⫖↰⪸1296)⫞⩸⩒(⫖↰⪸1737∌↝⫖↰⪸11AA))≁↽≥((⇙⪊⫖↰⪸267A)⨒⫖↰⪸795↡⊰⫅⫖↰⪸1122)⩧⪆((⪹⫖↰⪸879)⇀∌)⨔⇊(↩⫖↰⪸272B⋣⋖⫖↰⪸2225)=⫖↰⪸-57","reverse_text":"⫖↰⪸-57=((⨰⫟⨤⫖↰⪸1296)⫞⩸⩒(⫖↰⪸1737∌↝⫖↰⪸11AA))≁↽≥((⇙⪊⫖↰⪸267A)⨒⫖↰⪸795↡⊰⫅⫖↰⪸1122)⩧⪆((⪹⫖↰⪸879)⇀∌)⨔⇊(↩⫖↰⪸272B⋣⋖⫖↰⪸2225)","cot":[{"info":"⨰⫟⨤⫖↰⪸1296=NaN","layer":3},{"info":"⫖↰⪸1737∌↝⫖↰⪸11AA=⫖↰⪸0","layer":3},{"info":"NaN⫞⩸⩒⫖↰⪸0=NaN","layer":2},{"info":"⇙⪊⫖↰⪸267A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸795↡⊰⫅⫖↰⪸1122=⫖↰⪸2244","layer":3},{"info":"⫖↰⪸0⨒⫖↰⪸2244=⫖↰⪸545414","layer":2},{"info":"NaN≁↽≥⫖↰⪸545414=NaN","layer":1},{"info":"⪹⫖↰⪸879=⫖↰⪸-749","layer":3},{"info":"⫖↰⪸-749⇀∌=⫖↰⪸95","layer":2},{"info":"⫖↰⪸272B⋣⋖⫖↰⪸2225=⫖↰⪸272B","layer":3},{"info":"↩⫖↰⪸272B=⫖↰⪸-17278","layer":2},{"info":"⫖↰⪸95⨔⇊⫖↰⪸-17278=⫖↰⪸57","layer":1},{"info":"NaN⩧⪆⫖↰⪸57=⫖↰⪸-57","layer":0}]}
{"id":350,"expression_no_base_symbol":"((⪛⨧$2316$)≀⫉$2222$⫘$2093$)∋((⊵⊁$1776$)⪮%⊝(⩒∊$1129$))⪪((($5367$⋅⇍$1740$)⪗)⪁$5562$⨂≜$1450$⇴∐($1915$+$3548$))","expression":"((⪛⨧⫖↰⪸1410)≀⫉⫖↰⪸1352⫘⫖↰⪸1265)∋((⊵⊁⫖↰⪸1040)⪮%⊝(⩒∊⫖↰⪸7A1))⪪(((⫖↰⪸3133⋅⇍⫖↰⪸1010)⪗)⪁⫖↰⪸3276⨂≜⫖↰⪸A0A⇴∐(⫖↰⪸1137+⫖↰⪸2078))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8514,"operation_count":14,"complexity_ratio":608.1428571428571,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2316,"base":12}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2222,"base":12},"right_expr":{"type":"numeric_atoms","value":2093,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1776,"base":12}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1129,"base":12}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5367,"base":12},"right_expr":{"type":"numeric_atoms","value":1740,"base":12}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5562,"base":12},"right_expr":{"type":"numeric_atoms","value":1450,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1915,"base":12},"right_expr":{"type":"numeric_atoms","value":3548,"base":12}}}}},"used_operators":["xD69zh8xqp","ukq6epAj5P","oZj3VtZNQx","6NJAcO2OWT","48vC8HMD2b","IWmyXbctLI","AvED76WdY7","qazvmhNBbN","I7sXao9hZE","VEQNXA0ZBg","AdZkA7nFnk","HnzytWxmAO","k1SHOSEABc","W4YGzv6Whe"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","uBihLCJcMX","k8jYdgA6NY","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","dWAJyo7jo9","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2316","layer":4},{"info":"compute unary expreesion, input=2316, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6033","layer":3},{"info":"number node, value=2222","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=2093, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2617477","layer":3},{"info":"compute binary expreesion, left_input=6033, right_input=2617477, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1776","layer":4},{"info":"compute unary expreesion, input=1776, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=9586","layer":3},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1501","layer":3},{"info":"compute binary expreesion, left_input=9586, right_input=1501, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=19488","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=19488, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=40472208","layer":1},{"info":"number node, value=5367","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=5367, right_input=1740, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=5562","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=5562, right_input=1450, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=3548, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5463","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5463, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=40472208, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪛⨧⫖↰⪸1410)≀⫉⫖↰⪸1352⫘⫖↰⪸1265)∋((⊵⊁⫖↰⪸1040)⪮%⊝(⩒∊⫖↰⪸7A1))⪪(((⫖↰⪸3133⋅⇍⫖↰⪸1010)⪗)⪁⫖↰⪸3276⨂≜⫖↰⪸A0A⇴∐(⫖↰⪸1137+⫖↰⪸2078))=NaN","reverse_text":"NaN=((⪛⨧⫖↰⪸1410)≀⫉⫖↰⪸1352⫘⫖↰⪸1265)∋((⊵⊁⫖↰⪸1040)⪮%⊝(⩒∊⫖↰⪸7A1))⪪(((⫖↰⪸3133⋅⇍⫖↰⪸1010)⪗)⪁⫖↰⪸3276⨂≜⫖↰⪸A0A⇴∐(⫖↰⪸1137+⫖↰⪸2078))","cot":[{"info":"⪛⨧⫖↰⪸1410=⫖↰⪸35A9","layer":3},{"info":"⫖↰⪸1352⫘⫖↰⪸1265=⫖↰⪸A628B1","layer":3},{"info":"⫖↰⪸35A9≀⫉⫖↰⪸A628B1=⫖↰⪸1772","layer":2},{"info":"⊵⊁⫖↰⪸1040=⫖↰⪸566A","layer":3},{"info":"⩒∊⫖↰⪸7A1=⫖↰⪸A51","layer":3},{"info":"⫖↰⪸566A⪮%⊝⫖↰⪸A51=⫖↰⪸B340","layer":2},{"info":"⫖↰⪸1772∋⫖↰⪸B340=⫖↰⪸11679500","layer":1},{"info":"⫖↰⪸3133⋅⇍⫖↰⪸1010=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸-1A⪗=NaN","layer":2},{"info":"⫖↰⪸3276⨂≜⫖↰⪸A0A=NaN","layer":3},{"info":"⫖↰⪸1137+⫖↰⪸2078=⫖↰⪸31B3","layer":3},{"info":"NaN⇴∐⫖↰⪸31B3=NaN","layer":2},{"info":"NaN⪁NaN=NaN","layer":1},{"info":"⫖↰⪸11679500⪪NaN=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"(⊁⨺($1165$⪍↜⋙$3018$))≳⇉(($1055$⋐⇩⊬)∧)≓∲(⩦⊞(↸⊣$2254$))⩌⋺($1252$⇤$3309$↱$2029$≎⊠⪸$2009$)","expression":"(⊁⨺(⫖↰⪸811⪍↜⋙⫖↰⪸18B6))≳⇉((⫖↰⪸73B⋐⇩⊬)∧)≓∲(⩦⊞(↸⊣⫖↰⪸137A))⩌⋺(⫖↰⪸884⇤⫖↰⪸1AB9↱⫖↰⪸1211≎⊠⪸⫖↰⪸11B5)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":517,"operation_count":12,"complexity_ratio":43.083333333333336,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1165,"base":12},"right_expr":{"type":"numeric_atoms","value":3018,"base":12}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1055,"base":12}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2254,"base":12}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1252,"base":12},"right_expr":{"type":"numeric_atoms","value":3309,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2029,"base":12},"right_expr":{"type":"numeric_atoms","value":2009,"base":12}}}}},"used_operators":["s1XTVnmDOJ","V0kx6qeWkN","PxiHyQbrIp","L05ObWFQCd","z63VuFQld9","JuuLT1NoCs","g7Hmc5v1ko","u7fv1HBiaC","wztAlM01eG","SR5kFfdi6N","YSKBFp38Pu","bJkvcejdHO"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=3018, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-12644","layer":3},{"info":"compute unary expreesion, input=-12644, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-87725","layer":2},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1055","layer":3},{"info":"compute unary expreesion, input=1055, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-87725, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=2254","layer":4},{"info":"compute unary expreesion, input=2254, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1967","layer":3},{"info":"compute unary expreesion, input=-1967, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3990","layer":2},{"info":"number node, value=1252","layer":4},{"info":"number node, value=3309","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=3309, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-19957","layer":3},{"info":"number node, value=2029","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=2009, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=525038","layer":3},{"info":"compute binary expreesion, left_input=-19957, right_input=525038, 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=-1574592","layer":2},{"info":"compute binary expreesion, left_input=-3990, right_input=-1574592, 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=1578461","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1578461, 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":12,"result_base":12,"text":"(⊁⨺(⫖↰⪸811⪍↜⋙⫖↰⪸18B6))≳⇉((⫖↰⪸73B⋐⇩⊬)∧)≓∲(⩦⊞(↸⊣⫖↰⪸137A))⩌⋺(⫖↰⪸884⇤⫖↰⪸1AB9↱⫖↰⪸1211≎⊠⪸⫖↰⪸11B5)=NaN","reverse_text":"NaN=(⊁⨺(⫖↰⪸811⪍↜⋙⫖↰⪸18B6))≳⇉((⫖↰⪸73B⋐⇩⊬)∧)≓∲(⩦⊞(↸⊣⫖↰⪸137A))⩌⋺(⫖↰⪸884⇤⫖↰⪸1AB9↱⫖↰⪸1211≎⊠⪸⫖↰⪸11B5)","cot":[{"info":"⫖↰⪸811⪍↜⋙⫖↰⪸18B6=⫖↰⪸-7398","layer":3},{"info":"⊁⨺⫖↰⪸-7398=⫖↰⪸-42925","layer":2},{"info":"⫖↰⪸73B⋐⇩⊬=⫖↰⪸73B","layer":3},{"info":"⫖↰⪸73B∧=NaN","layer":2},{"info":"⫖↰⪸-42925≳⇉NaN=NaN","layer":1},{"info":"↸⊣⫖↰⪸137A=⫖↰⪸-117B","layer":3},{"info":"⩦⊞⫖↰⪸-117B=⫖↰⪸-2386","layer":2},{"info":"⫖↰⪸884⇤⫖↰⪸1AB9=⫖↰⪸-B671","layer":3},{"info":"⫖↰⪸1211≎⊠⪸⫖↰⪸11B5=⫖↰⪸213A12","layer":3},{"info":"⫖↰⪸-B671↱⫖↰⪸213A12=⫖↰⪸-63B280","layer":2},{"info":"⫖↰⪸-2386⩌⋺⫖↰⪸-63B280=⫖↰⪸641565","layer":1},{"info":"NaN≓∲⫖↰⪸641565=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"($1073$⫃⨇$3526$)∺≝⩲$2744$≎⪠$5737$⋷(↑($8265$⪛$3803$))+(⨭⩧⫛(($3556$⪕$1999$)⪭($1238$⊲⩕⊾$3984$)))","expression":"(⫖↰⪸755⫃⨇⫖↰⪸205A)∺≝⩲⫖↰⪸1708≎⪠⫖↰⪸33A1⋷(↑(⫖↰⪸4949⪛⫖↰⪸224B))+(⨭⩧⫛((⫖↰⪸2084⪕⫖↰⪸11A7)⪭(⫖↰⪸872⊲⩕⊾⫖↰⪸2380)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19249,"operation_count":11,"complexity_ratio":1749.909090909091,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1073,"base":12},"right_expr":{"type":"numeric_atoms","value":3526,"base":12}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2744,"base":12},"right_expr":{"type":"numeric_atoms","value":5737,"base":12}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8265,"base":12},"right_expr":{"type":"numeric_atoms","value":3803,"base":12}}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3556,"base":12},"right_expr":{"type":"numeric_atoms","value":1999,"base":12}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1238,"base":12},"right_expr":{"type":"numeric_atoms","value":3984,"base":12}}}}},"used_operators":["W4YGzv6Whe","23Mk6UjR3U","KPf6cnQVty","09Ly4LVMIf","aNhz54LH3e","tR7O2zTn5j","uFcxV4UQCh","g21JL6JxX7","j9kHMeSvPp","umQnsF7QlU","DmTXOeWf9t"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"number node, value=3526","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=3526, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-14136","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=5737","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=5737, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-14136, right_input=19558, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=8265","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=8265, right_input=3803, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=659","layer":3},{"info":"compute unary expreesion, input=659, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=192, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":1},{"info":"number node, value=3556","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=3556, right_input=1999, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6014","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=3984, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-56278","layer":3},{"info":"compute binary expreesion, left_input=6014, right_input=-56278, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute unary expreesion, input=5, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-320, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸755⫃⨇⫖↰⪸205A)∺≝⩲⫖↰⪸1708≎⪠⫖↰⪸33A1⋷(↑(⫖↰⪸4949⪛⫖↰⪸224B))+(⨭⩧⫛((⫖↰⪸2084⪕⫖↰⪸11A7)⪭(⫖↰⪸872⊲⩕⊾⫖↰⪸2380)))=NaN","reverse_text":"NaN=(⫖↰⪸755⫃⨇⫖↰⪸205A)∺≝⩲⫖↰⪸1708≎⪠⫖↰⪸33A1⋷(↑(⫖↰⪸4949⪛⫖↰⪸224B))+(⨭⩧⫛((⫖↰⪸2084⪕⫖↰⪸11A7)⪭(⫖↰⪸872⊲⩕⊾⫖↰⪸2380)))","cot":[{"info":"⫖↰⪸755⫃⨇⫖↰⪸205A=⫖↰⪸-8220","layer":3},{"info":"⫖↰⪸1708≎⪠⫖↰⪸33A1=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸-8220∺≝⩲⫖↰⪸B39A=⫖↰⪸114","layer":2},{"info":"⫖↰⪸4949⪛⫖↰⪸224B=⫖↰⪸46B","layer":3},{"info":"↑⫖↰⪸46B=⫖↰⪸140","layer":2},{"info":"⫖↰⪸114⋷⫖↰⪸140=⫖↰⪸-228","layer":1},{"info":"⫖↰⪸2084⪕⫖↰⪸11A7=⫖↰⪸3592","layer":3},{"info":"⫖↰⪸872⊲⩕⊾⫖↰⪸2380=⫖↰⪸-2869A","layer":3},{"info":"⫖↰⪸3592⪭⫖↰⪸-2869A=⫖↰⪸5","layer":2},{"info":"⨭⩧⫛⫖↰⪸5=NaN","layer":1},{"info":"⫖↰⪸-228+NaN=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"($6876$↳≱$2189$↺($3546$⪄$2039$))∑⇟⊟((⨑⩽⪐$1630$)↺$6436$⫥∨⫟$1999$)⨰(⪡⇡≛($2281$↳∿⪆$2210$))∌↝(⩦⩻⨪$3617$)∘($5632$∕⩚$1440$)","expression":"(⫖↰⪸3B90↳≱⫖↰⪸1325↺(⫖↰⪸2076⪄⫖↰⪸121B))∑⇟⊟((⨑⩽⪐⫖↰⪸B3A)↺⫖↰⪸3884⫥∨⫟⫖↰⪸11A7)⨰(⪡⇡≛(⫖↰⪸13A1↳∿⪆⫖↰⪸1342))∌↝(⩦⩻⨪⫖↰⪸2115)∘(⫖↰⪸3314∕⩚⫖↰⪸A00)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8448,"operation_count":14,"complexity_ratio":603.4285714285714,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6876,"base":12},"right_expr":{"type":"numeric_atoms","value":2189,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3546,"base":12},"right_expr":{"type":"numeric_atoms","value":2039,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1630,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6436,"base":12},"right_expr":{"type":"numeric_atoms","value":1999,"base":12}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2281,"base":12},"right_expr":{"type":"numeric_atoms","value":2210,"base":12}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3617,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":5632,"base":12},"right_expr":{"type":"numeric_atoms","value":1440,"base":12}}}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","7j4O788W3g","JwTKLfZU96","SUmda5xLS4","AF7qkfDlqP","KYD54nUTWz","9Isq31Ruls","qL4PrbW1Dq","Cw4SuJJGHO","Z5m6OM72h2","2td37pGCOC","z9ffQ9n5Zr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6876","layer":4},{"info":"number node, value=2189","layer":4},{"info":"compute binary expreesion, left_input=6876, right_input=2189, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3546","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=3546, right_input=2039, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-529053","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-529053, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-529053","layer":2},{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1357","layer":3},{"info":"number node, value=6436","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=6436, right_input=1999, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1357, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-529053, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2281","layer":4},{"info":"number node, value=2210","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=2210, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":2},{"info":"number node, value=3617","layer":4},{"info":"compute unary expreesion, input=3617, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3617","layer":3},{"info":"number node, value=5632","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=1440, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5635","layer":3},{"info":"compute binary expreesion, left_input=3617, right_input=-5635, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-3237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3237, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3B90↳≱⫖↰⪸1325↺(⫖↰⪸2076⪄⫖↰⪸121B))∑⇟⊟((⨑⩽⪐⫖↰⪸B3A)↺⫖↰⪸3884⫥∨⫟⫖↰⪸11A7)⨰(⪡⇡≛(⫖↰⪸13A1↳∿⪆⫖↰⪸1342))∌↝(⩦⩻⨪⫖↰⪸2115)∘(⫖↰⪸3314∕⩚⫖↰⪸A00)=NaN","reverse_text":"NaN=(⫖↰⪸3B90↳≱⫖↰⪸1325↺(⫖↰⪸2076⪄⫖↰⪸121B))∑⇟⊟((⨑⩽⪐⫖↰⪸B3A)↺⫖↰⪸3884⫥∨⫟⫖↰⪸11A7)⨰(⪡⇡≛(⫖↰⪸13A1↳∿⪆⫖↰⪸1342))∌↝(⩦⩻⨪⫖↰⪸2115)∘(⫖↰⪸3314∕⩚⫖↰⪸A00)","cot":[{"info":"⫖↰⪸3B90↳≱⫖↰⪸1325=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2076⪄⫖↰⪸121B=⫖↰⪸-2161B9","layer":3},{"info":"⫖↰⪸0↺⫖↰⪸-2161B9=⫖↰⪸-2161B9","layer":2},{"info":"⨑⩽⪐⫖↰⪸B3A=⫖↰⪸-951","layer":3},{"info":"⫖↰⪸3884⫥∨⫟⫖↰⪸11A7=NaN","layer":3},{"info":"⫖↰⪸-951↺NaN=NaN","layer":2},{"info":"⫖↰⪸-2161B9∑⇟⊟NaN=NaN","layer":1},{"info":"⫖↰⪸13A1↳∿⪆⫖↰⪸1342=NaN","layer":3},{"info":"⪡⇡≛NaN=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸2115=⫖↰⪸2115","layer":3},{"info":"⫖↰⪸3314∕⩚⫖↰⪸A00=⫖↰⪸-3317","layer":3},{"info":"⫖↰⪸2115∘⫖↰⪸-3317=⫖↰⪸-1A59","layer":2},{"info":"NaN∌↝⫖↰⪸-1A59=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":354,"expression_no_base_symbol":"(≅≯⇸$1079$↳≱$4676$)⪚($1973$⋓$4970$)⇂≾⫗($4340$⩷∴$1182$)⫡⨏(($1359$∼$2602$)⨲∙)⩷∴($2829$⨻⩈⩔$1339$)⪥($1001$⨚⇆$2485$)","expression":"(≅≯⇸⫖↰⪸75B↳≱⫖↰⪸2858)⪚(⫖↰⪸1185⋓⫖↰⪸2A62)⇂≾⫗(⫖↰⪸2618⩷∴⫖↰⪸826)⫡⨏((⫖↰⪸953∼⫖↰⪸160A)⨲∙)⩷∴(⫖↰⪸1779⨻⩈⩔⫖↰⪸937)⪥(⫖↰⪸6B5⨚⇆⫖↰⪸1531)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7604,"operation_count":13,"complexity_ratio":584.9230769230769,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1079,"base":12},"right_expr":{"type":"numeric_atoms","value":4676,"base":12}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1973,"base":12},"right_expr":{"type":"numeric_atoms","value":4970,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4340,"base":12},"right_expr":{"type":"numeric_atoms","value":1182,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1359,"base":12},"right_expr":{"type":"numeric_atoms","value":2602,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2829,"base":12},"right_expr":{"type":"numeric_atoms","value":1339,"base":12}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":2485,"base":12}}}}},"used_operators":["QMFrweE19q","HrjLwUk87U","apS25hmuAe","JwTKLfZU96","aBQ6xLxuTc","T2fj7uvVaJ","9FxExcQeMw","cRahaglYVE","DyGG3AbaNP","QbnwKVWMIQ","nEsXyWgiOK","lwHaAYXP2r"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","EBcxylXtPf","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"number node, value=4676","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=4676, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7677","layer":2},{"info":"number node, value=1973","layer":4},{"info":"number node, value=4970","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=4970, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4340","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=1182, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6284","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6284, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=7677, right_input=-676, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=16350","layer":1},{"info":"number node, value=1359","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2602, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"number node, value=2829","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=1339, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14231","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2485, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14231, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=61576","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=61576, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=16350, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≅≯⇸⫖↰⪸75B↳≱⫖↰⪸2858)⪚(⫖↰⪸1185⋓⫖↰⪸2A62)⇂≾⫗(⫖↰⪸2618⩷∴⫖↰⪸826)⫡⨏((⫖↰⪸953∼⫖↰⪸160A)⨲∙)⩷∴(⫖↰⪸1779⨻⩈⩔⫖↰⪸937)⪥(⫖↰⪸6B5⨚⇆⫖↰⪸1531)=NaN","reverse_text":"NaN=(≅≯⇸⫖↰⪸75B↳≱⫖↰⪸2858)⪚(⫖↰⪸1185⋓⫖↰⪸2A62)⇂≾⫗(⫖↰⪸2618⩷∴⫖↰⪸826)⫡⨏((⫖↰⪸953∼⫖↰⪸160A)⨲∙)⩷∴(⫖↰⪸1779⨻⩈⩔⫖↰⪸937)⪥(⫖↰⪸6B5⨚⇆⫖↰⪸1531)","cot":[{"info":"⫖↰⪸75B↳≱⫖↰⪸2858=⫖↰⪸0","layer":3},{"info":"≅≯⇸⫖↰⪸0=⫖↰⪸4539","layer":2},{"info":"⫖↰⪸1185⋓⫖↰⪸2A62=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2618⩷∴⫖↰⪸826=⫖↰⪸3778","layer":3},{"info":"⫖↰⪸0⇂≾⫗⫖↰⪸3778=⫖↰⪸-484","layer":2},{"info":"⫖↰⪸4539⪚⫖↰⪸-484=⫖↰⪸9566","layer":1},{"info":"⫖↰⪸953∼⫖↰⪸160A=NaN","layer":3},{"info":"NaN⨲∙=NaN","layer":2},{"info":"⫖↰⪸1779⨻⩈⩔⫖↰⪸937=⫖↰⪸829B","layer":3},{"info":"⫖↰⪸6B5⨚⇆⫖↰⪸1531=NaN","layer":3},{"info":"⫖↰⪸829B⪥NaN=⫖↰⪸2B774","layer":2},{"info":"NaN⩷∴⫖↰⪸2B774=NaN","layer":1},{"info":"⫖↰⪸9566⫡⨏NaN=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"(($1414$≧⫂∧$4166$⨸⪁$4118$⪛$4757$)∥⊢⊲(($3013$⫦⪉$4563$)⊲⩕⊾($1828$≓∲$4390$)))⨔⇊(⇵⪽(($8257$↠)∝($1716$≬⋮$5371$)))","expression":"((⫖↰⪸99A≧⫂∧⫖↰⪸24B2⨸⪁⫖↰⪸2472⪛⫖↰⪸2905)∥⊢⊲((⫖↰⪸18B1⫦⪉⫖↰⪸2783)⊲⩕⊾(⫖↰⪸1084≓∲⫖↰⪸265A)))⨔⇊(⇵⪽((⫖↰⪸4941↠)∝(⫖↰⪸BB0≬⋮⫖↰⪸3137)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":195522,"operation_count":12,"complexity_ratio":16293.5,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1414,"base":12},"right_expr":{"type":"numeric_atoms","value":4166,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4118,"base":12},"right_expr":{"type":"numeric_atoms","value":4757,"base":12}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3013,"base":12},"right_expr":{"type":"numeric_atoms","value":4563,"base":12}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1828,"base":12},"right_expr":{"type":"numeric_atoms","value":4390,"base":12}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":8257,"base":12}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1716,"base":12},"right_expr":{"type":"numeric_atoms","value":5371,"base":12}}}}},"used_operators":["JclMnS0uGI","v1UQAVDJRr","g55IO6H4Gj","Ph9nP6C5qx","uFcxV4UQCh","DmTXOeWf9t","wscyQdcy20","s1XTVnmDOJ","ZGCBLdVRRX","cTDWOvIxvz","LBdsKIvxzf","kbkesczE7y"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","U7g4x0WXJJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=4166, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3693","layer":3},{"info":"number node, value=4118","layer":4},{"info":"number node, value=4757","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=4757, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4118","layer":3},{"info":"compute binary expreesion, left_input=3693, right_input=4118, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15622","layer":2},{"info":"number node, value=3013","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=3013, right_input=4563, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1126","layer":3},{"info":"number node, value=1828","layer":4},{"info":"number node, value=4390","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=4390, 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=19063","layer":3},{"info":"compute binary expreesion, left_input=-1126, right_input=19063, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-75050","layer":2},{"info":"compute binary expreesion, left_input=15622, right_input=-75050, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=8257","layer":4},{"info":"compute unary expreesion, input=8257, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=5371, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=868, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-442","layer":2},{"info":"compute unary expreesion, input=-442, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸99A≧⫂∧⫖↰⪸24B2⨸⪁⫖↰⪸2472⪛⫖↰⪸2905)∥⊢⊲((⫖↰⪸18B1⫦⪉⫖↰⪸2783)⊲⩕⊾(⫖↰⪸1084≓∲⫖↰⪸265A)))⨔⇊(⇵⪽((⫖↰⪸4941↠)∝(⫖↰⪸BB0≬⋮⫖↰⪸3137)))=NaN","reverse_text":"NaN=((⫖↰⪸99A≧⫂∧⫖↰⪸24B2⨸⪁⫖↰⪸2472⪛⫖↰⪸2905)∥⊢⊲((⫖↰⪸18B1⫦⪉⫖↰⪸2783)⊲⩕⊾(⫖↰⪸1084≓∲⫖↰⪸265A)))⨔⇊(⇵⪽((⫖↰⪸4941↠)∝(⫖↰⪸BB0≬⋮⫖↰⪸3137)))","cot":[{"info":"⫖↰⪸99A≧⫂∧⫖↰⪸24B2=⫖↰⪸2179","layer":3},{"info":"⫖↰⪸2472⪛⫖↰⪸2905=⫖↰⪸2472","layer":3},{"info":"⫖↰⪸2179⨸⪁⫖↰⪸2472=⫖↰⪸905A","layer":2},{"info":"⫖↰⪸18B1⫦⪉⫖↰⪸2783=⫖↰⪸-79A","layer":3},{"info":"⫖↰⪸1084≓∲⫖↰⪸265A=⫖↰⪸B047","layer":3},{"info":"⫖↰⪸-79A⊲⩕⊾⫖↰⪸B047=⫖↰⪸-37522","layer":2},{"info":"⫖↰⪸905A∥⊢⊲⫖↰⪸-37522=NaN","layer":1},{"info":"⫖↰⪸4941↠=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸BB0≬⋮⫖↰⪸3137=⫖↰⪸604","layer":3},{"info":"⫖↰⪸-313∝⫖↰⪸604=⫖↰⪸-30A","layer":2},{"info":"⇵⪽⫖↰⪸-30A=NaN","layer":1},{"info":"NaN⨔⇊NaN=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"(∤↝(($2375$≄⊠$1613$)⫏⊷))∣(($3765$⩚⊴⇥$1622$⩟)⪶≀⋏($3088$⪕$6895$⋳⪒($3133$∙∹∝$1680$)))","expression":"(∤↝((⫖↰⪸145B≄⊠⫖↰⪸B25)⫏⊷))∣((⫖↰⪸2219⩚⊴⇥⫖↰⪸B32⩟)⪶≀⋏(⫖↰⪸1954⪕⫖↰⪸3BA7⋳⪒(⫖↰⪸1991∙∹∝⫖↰⪸B80)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":91741,"operation_count":10,"complexity_ratio":9174.1,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2375,"base":12},"right_expr":{"type":"numeric_atoms","value":1613,"base":12}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3765,"base":12},"right_expr":{"type":"numeric_atoms","value":1622,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3088,"base":12},"right_expr":{"type":"numeric_atoms","value":6895,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3133,"base":12},"right_expr":{"type":"numeric_atoms","value":1680,"base":12}}}}},"used_operators":["PPChnnnBFF","3UMq87Qwqg","dcShxvzhyw","vXNesLlMH1","zR4jO40bMj","fOIeswaMU4","NTOWxs364D","12rbrZMWeM","umQnsF7QlU","HmxsFra2vL"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⫖↰⪸908","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2375","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1613, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=30476","layer":3},{"info":"compute unary expreesion, input=30476, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"compute unary expreesion, input=-820, 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=-820","layer":1},{"info":"number node, value=3765","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=1622, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5508","layer":3},{"info":"compute unary expreesion, input=-5508, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=50799","layer":2},{"info":"number node, value=3088","layer":4},{"info":"number node, value=6895","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=6895, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=3133","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=1680, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-397","layer":2},{"info":"compute binary expreesion, left_input=50799, right_input=-397, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-151835","layer":1},{"info":"compute binary expreesion, left_input=-820, right_input=-151835, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1304","layer":0}],"base":12,"result_base":12,"text":"(∤↝((⫖↰⪸145B≄⊠⫖↰⪸B25)⫏⊷))∣((⫖↰⪸2219⩚⊴⇥⫖↰⪸B32⩟)⪶≀⋏(⫖↰⪸1954⪕⫖↰⪸3BA7⋳⪒(⫖↰⪸1991∙∹∝⫖↰⪸B80)))=⫖↰⪸908","reverse_text":"⫖↰⪸908=(∤↝((⫖↰⪸145B≄⊠⫖↰⪸B25)⫏⊷))∣((⫖↰⪸2219⩚⊴⇥⫖↰⪸B32⩟)⪶≀⋏(⫖↰⪸1954⪕⫖↰⪸3BA7⋳⪒(⫖↰⪸1991∙∹∝⫖↰⪸B80)))","cot":[{"info":"⫖↰⪸145B≄⊠⫖↰⪸B25=⫖↰⪸15778","layer":3},{"info":"⫖↰⪸15778⫏⊷=⫖↰⪸-584","layer":2},{"info":"∤↝⫖↰⪸-584=⫖↰⪸-584","layer":1},{"info":"⫖↰⪸2219⩚⊴⇥⫖↰⪸B32=⫖↰⪸-3230","layer":3},{"info":"⫖↰⪸-3230⩟=⫖↰⪸25493","layer":2},{"info":"⫖↰⪸1954⪕⫖↰⪸3BA7=⫖↰⪸-47","layer":3},{"info":"⫖↰⪸1991∙∹∝⫖↰⪸B80=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-47⋳⪒⫖↰⪸0=⫖↰⪸-291","layer":2},{"info":"⫖↰⪸25493⪶≀⋏⫖↰⪸-291=⫖↰⪸-73A4B","layer":1},{"info":"⫖↰⪸-584∣⫖↰⪸-73A4B=⫖↰⪸908","layer":0}]}
{"id":357,"expression_no_base_symbol":"((⩷⨜⫀$6640$)↢(⊲⪭$1255$)⩼⇪↪($3262$∙∹∝$1579$)↤⩊($1908$↱$1471$))↳≱(($5488$⫚↹⊑$3305$)⪮%⊝($3079$⪘⫢$7816$)⋥≓≎(≻⋜($2033$⨭⪣$8663$)))","expression":"((⩷⨜⫀⫖↰⪸3A14)↢(⊲⪭⫖↰⪸887)⩼⇪↪(⫖↰⪸1A7A∙∹∝⫖↰⪸AB7)↤⩊(⫖↰⪸1130↱⫖↰⪸A27))↳≱((⫖↰⪸3214⫚↹⊑⫖↰⪸1AB5)⪮%⊝(⫖↰⪸1947⪘⫢⫖↰⪸4634)⋥≓≎(≻⋜(⫖↰⪸1215⨭⪣⫖↰⪸501B)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3555,"operation_count":14,"complexity_ratio":253.92857142857142,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":6640,"base":12}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1255,"base":12}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3262,"base":12},"right_expr":{"type":"numeric_atoms","value":1579,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1908,"base":12},"right_expr":{"type":"numeric_atoms","value":1471,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5488,"base":12},"right_expr":{"type":"numeric_atoms","value":3305,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3079,"base":12},"right_expr":{"type":"numeric_atoms","value":7816,"base":12}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2033,"base":12},"right_expr":{"type":"numeric_atoms","value":8663,"base":12}}}}},"used_operators":["JwTKLfZU96","ocnLzx9CaJ","WR6HLWljOP","CDi0ktkjQ4","k7HXdKtiEU","13rbtpv6ld","HmxsFra2vL","SR5kFfdi6N","Qy55tPpLXF","IWmyXbctLI","dfKe02y8D2","oacrs7FA3X","3tj9sqzovi","kn8WO9XteQ"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","ruOEQAzv1W","nhYeJWJD5X","i8ToyICDmI","xUOZtlo3hN","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6640","layer":4},{"info":"compute unary expreesion, input=6640, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-6367","layer":3},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1429","layer":3},{"info":"compute binary expreesion, left_input=-6367, right_input=-1429, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-15592","layer":2},{"info":"number node, value=3262","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=3262, right_input=1579, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1908","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=1471, 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=-3891","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3891, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15592, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=5488","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=5488, right_input=3305, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=3079","layer":4},{"info":"number node, value=7816","layer":4},{"info":"compute binary expreesion, left_input=3079, right_input=7816, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6034","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=6034, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-578","layer":2},{"info":"number node, value=2033","layer":4},{"info":"number node, value=8663","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=8663, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=754","layer":3},{"info":"compute unary expreesion, input=754, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-578, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⩷⨜⫀⫖↰⪸3A14)↢(⊲⪭⫖↰⪸887)⩼⇪↪(⫖↰⪸1A7A∙∹∝⫖↰⪸AB7)↤⩊(⫖↰⪸1130↱⫖↰⪸A27))↳≱((⫖↰⪸3214⫚↹⊑⫖↰⪸1AB5)⪮%⊝(⫖↰⪸1947⪘⫢⫖↰⪸4634)⋥≓≎(≻⋜(⫖↰⪸1215⨭⪣⫖↰⪸501B)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⩷⨜⫀⫖↰⪸3A14)↢(⊲⪭⫖↰⪸887)⩼⇪↪(⫖↰⪸1A7A∙∹∝⫖↰⪸AB7)↤⩊(⫖↰⪸1130↱⫖↰⪸A27))↳≱((⫖↰⪸3214⫚↹⊑⫖↰⪸1AB5)⪮%⊝(⫖↰⪸1947⪘⫢⫖↰⪸4634)⋥≓≎(≻⋜(⫖↰⪸1215⨭⪣⫖↰⪸501B)))","cot":[{"info":"⩷⨜⫀⫖↰⪸3A14=⫖↰⪸-3827","layer":3},{"info":"⊲⪭⫖↰⪸887=⫖↰⪸-9B1","layer":3},{"info":"⫖↰⪸-3827↢⫖↰⪸-9B1=⫖↰⪸-9034","layer":2},{"info":"⫖↰⪸1A7A∙∹∝⫖↰⪸AB7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1130↱⫖↰⪸A27=⫖↰⪸-2303","layer":3},{"info":"⫖↰⪸0↤⩊⫖↰⪸-2303=NaN","layer":2},{"info":"⫖↰⪸-9034⩼⇪↪NaN=NaN","layer":1},{"info":"⫖↰⪸3214⫚↹⊑⫖↰⪸1AB5=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1947⪘⫢⫖↰⪸4634=⫖↰⪸35AA","layer":3},{"info":"⫖↰⪸-313⪮%⊝⫖↰⪸35AA=⫖↰⪸-402","layer":2},{"info":"⫖↰⪸1215⨭⪣⫖↰⪸501B=⫖↰⪸52A","layer":3},{"info":"≻⋜⫖↰⪸52A=NaN","layer":2},{"info":"⫖↰⪸-402⋥≓≎NaN=⫖↰⪸57","layer":1},{"info":"NaN↳≱⫖↰⪸57=⫖↰⪸0","layer":0}]}
{"id":358,"expression_no_base_symbol":"(($5156$⨻⩈⩔$2665$)⊔($2627$⪭≯$5259$))∥⊢⊲((⇜⊴$7772$)⪄$2313$⩺⪪$1861$)↼⊘⨖($1514$≠≀$4969$⪡(⨙⪌$6920$)⨐⩸⫘($3874$⊧↖)⪇≇⋚($1810$⫚↹⊑$2956$))","expression":"((⫖↰⪸2B98⨻⩈⩔⫖↰⪸1661)⊔(⫖↰⪸162B⪭≯⫖↰⪸3063))∥⊢⊲((⇜⊴⫖↰⪸45B8)⪄⫖↰⪸1409⩺⪪⫖↰⪸10B1)↼⊘⨖(⫖↰⪸A62≠≀⫖↰⪸2A61⪡(⨙⪌⫖↰⪸4008)⨐⩸⫘(⫖↰⪸22AA⊧↖)⪇≇⋚(⫖↰⪸106A⫚↹⊑⫖↰⪸1864))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5492,"operation_count":15,"complexity_ratio":366.1333333333333,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5156,"base":12},"right_expr":{"type":"numeric_atoms","value":2665,"base":12}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2627,"base":12},"right_expr":{"type":"numeric_atoms","value":5259,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":7772,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2313,"base":12},"right_expr":{"type":"numeric_atoms","value":1861,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1514,"base":12},"right_expr":{"type":"numeric_atoms","value":4969,"base":12}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6920,"base":12}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3874,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1810,"base":12},"right_expr":{"type":"numeric_atoms","value":2956,"base":12}}}}},"used_operators":["bPywburJMS","v1UQAVDJRr","E4l6HwMY31","nEsXyWgiOK","XAx5wpdLa6","SUmda5xLS4","XwDhCwWbUn","uvdQJvN4PV","fu6greOZ01","oraRL2iQuh","IwW236VD4Y","vEGLkm4Z2k","3sJ7IOPOlU","EKiFHuOFxO","dfKe02y8D2"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","3ViojmjbAp","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⫖↰⪸7362","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5156","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=5156, right_input=2665, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=32847","layer":3},{"info":"number node, value=2627","layer":4},{"info":"number node, value=5259","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=5259, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=32847, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=7772","layer":4},{"info":"compute unary expreesion, input=7772, 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=-1820478","layer":3},{"info":"number node, value=2313","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=1861, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-8130","layer":3},{"info":"compute binary expreesion, left_input=-1820478, right_input=-8130, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=3979","layer":1},{"info":"number node, value=1514","layer":4},{"info":"number node, value=4969","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=4969, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2722","layer":3},{"info":"number node, value=6920","layer":4},{"info":"compute unary expreesion, input=6920, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-2722, right_input=868, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=6412","layer":2},{"info":"number node, value=3874","layer":4},{"info":"compute unary expreesion, input=3874, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=90067628","layer":3},{"info":"number node, value=1810","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=2956, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=90067628, right_input=-447, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6412, 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=6412","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=6412, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12602","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2B98⨻⩈⩔⫖↰⪸1661)⊔(⫖↰⪸162B⪭≯⫖↰⪸3063))∥⊢⊲((⇜⊴⫖↰⪸45B8)⪄⫖↰⪸1409⩺⪪⫖↰⪸10B1)↼⊘⨖(⫖↰⪸A62≠≀⫖↰⪸2A61⪡(⨙⪌⫖↰⪸4008)⨐⩸⫘(⫖↰⪸22AA⊧↖)⪇≇⋚(⫖↰⪸106A⫚↹⊑⫖↰⪸1864))=⫖↰⪸7362","reverse_text":"⫖↰⪸7362=((⫖↰⪸2B98⨻⩈⩔⫖↰⪸1661)⊔(⫖↰⪸162B⪭≯⫖↰⪸3063))∥⊢⊲((⇜⊴⫖↰⪸45B8)⪄⫖↰⪸1409⩺⪪⫖↰⪸10B1)↼⊘⨖(⫖↰⪸A62≠≀⫖↰⪸2A61⪡(⨙⪌⫖↰⪸4008)⨐⩸⫘(⫖↰⪸22AA⊧↖)⪇≇⋚(⫖↰⪸106A⫚↹⊑⫖↰⪸1864))","cot":[{"info":"⫖↰⪸2B98⨻⩈⩔⫖↰⪸1661=⫖↰⪸17013","layer":3},{"info":"⫖↰⪸162B⪭≯⫖↰⪸3063=NaN","layer":3},{"info":"⫖↰⪸17013⊔NaN=NaN","layer":2},{"info":"⇜⊴⫖↰⪸45B8=⫖↰⪸-739626","layer":3},{"info":"⫖↰⪸1409⩺⪪⫖↰⪸10B1=⫖↰⪸-4856","layer":3},{"info":"⫖↰⪸-739626⪄⫖↰⪸-4856=⫖↰⪸2377","layer":2},{"info":"NaN∥⊢⊲⫖↰⪸2377=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸A62≠≀⫖↰⪸2A61=⫖↰⪸-16AA","layer":3},{"info":"⨙⪌⫖↰⪸4008=⫖↰⪸604","layer":3},{"info":"⫖↰⪸-16AA⪡⫖↰⪸604=⫖↰⪸3864","layer":2},{"info":"⫖↰⪸22AA⊧↖=⫖↰⪸261B6578","layer":3},{"info":"⫖↰⪸106A⫚↹⊑⫖↰⪸1864=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸261B6578⪇≇⋚⫖↰⪸-313=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3864⨐⩸⫘⫖↰⪸0=⫖↰⪸3864","layer":1},{"info":"⫖↰⪸2377↼⊘⨖⫖↰⪸3864=⫖↰⪸7362","layer":0}]}
{"id":359,"expression_no_base_symbol":"($1557$⨔≚≋$1371$)⩣⫁∢($4346$∷$1772$)⪥(($1077$⨚⇆$3311$)⪢$1302$⇍⊗$1568$)⊨(($1574$⫰⋱$5073$)≭($7221$↫))≦↸($6634$⪔⊥$1192$≠≀$2523$↬$3722$)","expression":"(⫖↰⪸A99⨔≚≋⫖↰⪸963)⩣⫁∢(⫖↰⪸2622∷⫖↰⪸1038)⪥((⫖↰⪸759⨚⇆⫖↰⪸1ABB)⪢⫖↰⪸906⇍⊗⫖↰⪸AA8)⊨((⫖↰⪸AB2⫰⋱⫖↰⪸2B29)≭(⫖↰⪸4219↫))≦↸(⫖↰⪸3A0A⪔⊥⫖↰⪸834≠≀⫖↰⪸1563↬⫖↰⪸21A2)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8016,"operation_count":15,"complexity_ratio":534.4,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1557,"base":12},"right_expr":{"type":"numeric_atoms","value":1371,"base":12}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4346,"base":12},"right_expr":{"type":"numeric_atoms","value":1772,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1077,"base":12},"right_expr":{"type":"numeric_atoms","value":3311,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1302,"base":12},"right_expr":{"type":"numeric_atoms","value":1568,"base":12}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1574,"base":12},"right_expr":{"type":"numeric_atoms","value":5073,"base":12}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":7221,"base":12}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6634,"base":12},"right_expr":{"type":"numeric_atoms","value":1192,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2523,"base":12},"right_expr":{"type":"numeric_atoms","value":3722,"base":12}}}}},"used_operators":["vg4gO5BX6G","QbnwKVWMIQ","JDUIKTTSIa","Z57zeUYC9z","D3AQDKkPcf","dWAJyo7jo9","lwHaAYXP2r","5uvYHDjeKN","RygbFNSyEJ","rxpJgHHUmx","6o9Blt3TJ6","uPb5QRN0te","IwW236VD4Y","HJ9erzHUuu","B5M0gjZbta"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","k8jYdgA6NY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=1371, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4346","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=1772, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1772","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=1772, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-19583","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=3311","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=3311, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1302","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=1568, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-19583, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-149820","layer":1},{"info":"number node, value=1574","layer":4},{"info":"number node, value=5073","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=5073, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1541","layer":3},{"info":"number node, value=7221","layer":4},{"info":"compute unary expreesion, input=7221, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1541, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6634","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=1192, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=23953","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=3722","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=3722, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=23953, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-47600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-47600, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-149820, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A99⨔≚≋⫖↰⪸963)⩣⫁∢(⫖↰⪸2622∷⫖↰⪸1038)⪥((⫖↰⪸759⨚⇆⫖↰⪸1ABB)⪢⫖↰⪸906⇍⊗⫖↰⪸AA8)⊨((⫖↰⪸AB2⫰⋱⫖↰⪸2B29)≭(⫖↰⪸4219↫))≦↸(⫖↰⪸3A0A⪔⊥⫖↰⪸834≠≀⫖↰⪸1563↬⫖↰⪸21A2)=NaN","reverse_text":"NaN=(⫖↰⪸A99⨔≚≋⫖↰⪸963)⩣⫁∢(⫖↰⪸2622∷⫖↰⪸1038)⪥((⫖↰⪸759⨚⇆⫖↰⪸1ABB)⪢⫖↰⪸906⇍⊗⫖↰⪸AA8)⊨((⫖↰⪸AB2⫰⋱⫖↰⪸2B29)≭(⫖↰⪸4219↫))≦↸(⫖↰⪸3A0A⪔⊥⫖↰⪸834≠≀⫖↰⪸1563↬⫖↰⪸21A2)","cot":[{"info":"⫖↰⪸A99⨔≚≋⫖↰⪸963=⫖↰⪸5868","layer":3},{"info":"⫖↰⪸2622∷⫖↰⪸1038=⫖↰⪸1038","layer":3},{"info":"⫖↰⪸5868⩣⫁∢⫖↰⪸1038=⫖↰⪸-B3BB","layer":2},{"info":"⫖↰⪸759⨚⇆⫖↰⪸1ABB=NaN","layer":3},{"info":"⫖↰⪸906⇍⊗⫖↰⪸AA8=⫖↰⪸-184","layer":3},{"info":"NaN⪢⫖↰⪸-184=NaN","layer":2},{"info":"⫖↰⪸-B3BB⪥NaN=⫖↰⪸-72850","layer":1},{"info":"⫖↰⪸AB2⫰⋱⫖↰⪸2B29=⫖↰⪸-A85","layer":3},{"info":"⫖↰⪸4219↫=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-A85≭⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸3A0A⪔⊥⫖↰⪸834=⫖↰⪸11A41","layer":3},{"info":"⫖↰⪸1563↬⫖↰⪸21A2=NaN","layer":3},{"info":"⫖↰⪸11A41≠≀NaN=⫖↰⪸-23668","layer":2},{"info":"NaN≦↸⫖↰⪸-23668=NaN","layer":1},{"info":"⫖↰⪸-72850⊨NaN=NaN","layer":0}]}
{"id":360,"expression_no_base_symbol":"(($4181$∠↢$5117$↰)⪄($1126$⨰$9580$⫡⨏$2691$∲⫓$3570$))⪨⊡(($2421$⪭≯$1770$)⨜⨶($6299$⨰$3774$))⊕∕(($7150$⋝⋈⪟$2979$)⨝⩣∺)","expression":"((⫖↰⪸2505∠↢⫖↰⪸2B65↰)⪄(⫖↰⪸79A⨰⫖↰⪸5664⫡⨏⫖↰⪸1683∲⫓⫖↰⪸2096))⪨⊡((⫖↰⪸1499⪭≯⫖↰⪸1036)⨜⨶(⫖↰⪸378B⨰⫖↰⪸2226))⊕∕((⫖↰⪸417A⋝⋈⪟⫖↰⪸1883)⨝⩣∺)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":357,"operation_count":13,"complexity_ratio":27.46153846153846,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4181,"base":12},"right_expr":{"type":"numeric_atoms","value":5117,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1126,"base":12},"right_expr":{"type":"numeric_atoms","value":9580,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2691,"base":12},"right_expr":{"type":"numeric_atoms","value":3570,"base":12}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2421,"base":12},"right_expr":{"type":"numeric_atoms","value":1770,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6299,"base":12},"right_expr":{"type":"numeric_atoms","value":3774,"base":12}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7150,"base":12},"right_expr":{"type":"numeric_atoms","value":2979,"base":12}}}}},"used_operators":["kuIXHzHcAH","SUmda5xLS4","bl5wxAcryP","KbjG8mgYpV","QMFrweE19q","eewbuw0ToL","i8ToyICDmI","9cloC0Ngie","HiPekx5b7W","XAx5wpdLa6","ancx8kZcWl","2DDjHMKMc0"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","Z2TMIBDE3Q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DZ8iAZOCBD","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4181","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=5117, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-87280","layer":3},{"info":"compute unary expreesion, input=-87280, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-87381","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=9580","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=9580, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8444","layer":3},{"info":"number node, value=2691","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=3570, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8444, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-41437","layer":2},{"info":"compute binary expreesion, left_input=-87381, right_input=-41437, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=2421","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=1770, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=6299","layer":4},{"info":"number node, value=3774","layer":4},{"info":"compute binary expreesion, left_input=6299, right_input=3774, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2535","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2535, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"number node, value=7150","layer":4},{"info":"number node, value=2979","layer":4},{"info":"compute binary expreesion, left_input=7150, right_input=2979, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7150","layer":3},{"info":"compute unary expreesion, input=7150, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-14300","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14300, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2505∠↢⫖↰⪸2B65↰)⪄(⫖↰⪸79A⨰⫖↰⪸5664⫡⨏⫖↰⪸1683∲⫓⫖↰⪸2096))⪨⊡((⫖↰⪸1499⪭≯⫖↰⪸1036)⨜⨶(⫖↰⪸378B⨰⫖↰⪸2226))⊕∕((⫖↰⪸417A⋝⋈⪟⫖↰⪸1883)⨝⩣∺)=NaN","reverse_text":"NaN=((⫖↰⪸2505∠↢⫖↰⪸2B65↰)⪄(⫖↰⪸79A⨰⫖↰⪸5664⫡⨏⫖↰⪸1683∲⫓⫖↰⪸2096))⪨⊡((⫖↰⪸1499⪭≯⫖↰⪸1036)⨜⨶(⫖↰⪸378B⨰⫖↰⪸2226))⊕∕((⫖↰⪸417A⋝⋈⪟⫖↰⪸1883)⨝⩣∺)","cot":[{"info":"⫖↰⪸2505∠↢⫖↰⪸2B65=⫖↰⪸-42614","layer":3},{"info":"⫖↰⪸-42614↰=⫖↰⪸-42699","layer":2},{"info":"⫖↰⪸79A⨰⫖↰⪸5664=⫖↰⪸-4A78","layer":3},{"info":"⫖↰⪸1683∲⫓⫖↰⪸2096=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-4A78⫡⨏⫖↰⪸0=⫖↰⪸-1BB91","layer":2},{"info":"⫖↰⪸-42699⪄⫖↰⪸-1BB91=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸1499⪭≯⫖↰⪸1036=NaN","layer":3},{"info":"⫖↰⪸378B⨰⫖↰⪸2226=⫖↰⪸1573","layer":3},{"info":"NaN⨜⨶⫖↰⪸1573=NaN","layer":2},{"info":"⫖↰⪸417A⋝⋈⪟⫖↰⪸1883=⫖↰⪸417A","layer":3},{"info":"⫖↰⪸417A⨝⩣∺=⫖↰⪸-8338","layer":2},{"info":"NaN⊕∕⫖↰⪸-8338=NaN","layer":1},{"info":"⫖↰⪸2377⪨⊡NaN=NaN","layer":0}]}
{"id":361,"expression_no_base_symbol":"(($1447$⇼⇔∾$1583$)≀⫉(⇾⩊⇾$1541$))∌↝($1004$∇⊂⋱$3388$⫸⇳(∑⇻≧$6071$))⊨(⊬↢($2030$⨪↰⇹$1130$))⫲≸⪮($1164$⫘$2134$)≝⊿$1638$∥⊢⊲$2428$","expression":"((⫖↰⪸A07⇼⇔∾⫖↰⪸ABB)≀⫉(⇾⩊⇾⫖↰⪸A85))∌↝(⫖↰⪸6B8∇⊂⋱⫖↰⪸1B64⫸⇳(∑⇻≧⫖↰⪸361B))⊨(⊬↢(⫖↰⪸1212⨪↰⇹⫖↰⪸7A2))⫲≸⪮(⫖↰⪸810⫘⫖↰⪸129A)≝⊿⫖↰⪸B46∥⊢⊲⫖↰⪸14A4","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5945,"operation_count":14,"complexity_ratio":424.64285714285717,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1447,"base":12},"right_expr":{"type":"numeric_atoms","value":1583,"base":12}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1541,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":3388,"base":12}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":6071,"base":12}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2030,"base":12},"right_expr":{"type":"numeric_atoms","value":1130,"base":12}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1164,"base":12},"right_expr":{"type":"numeric_atoms","value":2134,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1638,"base":12},"right_expr":{"type":"numeric_atoms","value":2428,"base":12}}}}},"used_operators":["vg4gO5BX6G","9Isq31Ruls","oZj3VtZNQx","tifHPKVTfV","bx9Z9DAK5y","gx7XJ7hdpj","nhYeJWJD5X","l1M9WJ3V7u","P3lXMJvFrc","WPoGxAaPR1","tmPS8pqC7x","OKKcZfAt5B","48vC8HMD2b","v1UQAVDJRr"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rJVOvQCfKK","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","EBcxylXtPf","rGHVDoGpnC"],"result":"⫖↰⪸-126","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1447","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=1583, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=136","layer":3},{"info":"number node, value=1541","layer":4},{"info":"compute unary expreesion, input=1541, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-20355","layer":3},{"info":"compute binary expreesion, left_input=136, right_input=-20355, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=3388","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=3388, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1462","layer":3},{"info":"number node, value=6071","layer":4},{"info":"compute unary expreesion, input=6071, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=1462, right_input=-852, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=2030","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=1130, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2030","layer":3},{"info":"compute unary expreesion, input=2030, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2134, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1373269","layer":3},{"info":"number node, value=1638","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=2428, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1373269, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=218","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=218, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A07⇼⇔∾⫖↰⪸ABB)≀⫉(⇾⩊⇾⫖↰⪸A85))∌↝(⫖↰⪸6B8∇⊂⋱⫖↰⪸1B64⫸⇳(∑⇻≧⫖↰⪸361B))⊨(⊬↢(⫖↰⪸1212⨪↰⇹⫖↰⪸7A2))⫲≸⪮(⫖↰⪸810⫘⫖↰⪸129A)≝⊿⫖↰⪸B46∥⊢⊲⫖↰⪸14A4=⫖↰⪸-126","reverse_text":"⫖↰⪸-126=((⫖↰⪸A07⇼⇔∾⫖↰⪸ABB)≀⫉(⇾⩊⇾⫖↰⪸A85))∌↝(⫖↰⪸6B8∇⊂⋱⫖↰⪸1B64⫸⇳(∑⇻≧⫖↰⪸361B))⊨(⊬↢(⫖↰⪸1212⨪↰⇹⫖↰⪸7A2))⫲≸⪮(⫖↰⪸810⫘⫖↰⪸129A)≝⊿⫖↰⪸B46∥⊢⊲⫖↰⪸14A4","cot":[{"info":"⫖↰⪸A07⇼⇔∾⫖↰⪸ABB=⫖↰⪸B4","layer":3},{"info":"⇾⩊⇾⫖↰⪸A85=⫖↰⪸-B943","layer":3},{"info":"⫖↰⪸B4≀⫉⫖↰⪸-B943=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸6B8∇⊂⋱⫖↰⪸1B64=⫖↰⪸A1A","layer":3},{"info":"∑⇻≧⫖↰⪸361B=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸A1A⫸⇳⫖↰⪸-5B0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1772∌↝⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1212⨪↰⇹⫖↰⪸7A2=⫖↰⪸1212","layer":3},{"info":"⊬↢⫖↰⪸1212=⫖↰⪸162","layer":2},{"info":"⫖↰⪸810⫘⫖↰⪸129A=⫖↰⪸562871","layer":3},{"info":"⫖↰⪸B46∥⊢⊲⫖↰⪸14A4=NaN","layer":3},{"info":"⫖↰⪸562871≝⊿NaN=NaN","layer":2},{"info":"⫖↰⪸162⫲≸⪮NaN=⫖↰⪸162","layer":1},{"info":"⫖↰⪸0⊨⫖↰⪸162=⫖↰⪸-126","layer":0}]}
{"id":362,"expression_no_base_symbol":"(($2819$⫳≱↱$1098$)∋(⊙↵-$1722$)⊍⩺⋍$2960$↺$2683$↺$1885$⇂≾⫗$1204$)⩍⋽⫝̸(↥($2212$↡⊰⫅$5215$-$4550$⪕$1884$))","expression":"((⫖↰⪸176B⫳≱↱⫖↰⪸776)∋(⊙↵-⫖↰⪸BB6)⊍⩺⋍⫖↰⪸1868↺⫖↰⪸1677↺⫖↰⪸1111⇂≾⫗⫖↰⪸844)⩍⋽⫝̸(↥(⫖↰⪸1344↡⊰⫅⫖↰⪸3027-⫖↰⪸2772⪕⫖↰⪸1110))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":75480,"operation_count":12,"complexity_ratio":6290.0,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2819,"base":12},"right_expr":{"type":"numeric_atoms","value":1098,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1722,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2960,"base":12},"right_expr":{"type":"numeric_atoms","value":2683,"base":12}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1885,"base":12},"right_expr":{"type":"numeric_atoms","value":1204,"base":12}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2212,"base":12},"right_expr":{"type":"numeric_atoms","value":5215,"base":12}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4550,"base":12},"right_expr":{"type":"numeric_atoms","value":1884,"base":12}}}}},"used_operators":["BiWNJpBvwn","OXDGMFPWZM","ukq6epAj5P","ZvLB05nZmT","oWn0xqSxBt","7j4O788W3g","aBQ6xLxuTc","A8NUZmVepG","rysDP5nf3Z","VCtxkLNOzz","umQnsF7QlU"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⫖↰⪸-16B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2819","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=1098, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1722","layer":4},{"info":"compute unary expreesion, input=1722, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-1, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-66352","layer":2},{"info":"number node, value=2960","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=2683, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2683","layer":3},{"info":"number node, value=1885","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=1204, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=2683, right_input=-676, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=-66352, right_input=-676, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=2212","layer":4},{"info":"number node, value=5215","layer":4},{"info":"compute binary expreesion, left_input=2212, right_input=5215, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10430","layer":3},{"info":"number node, value=4550","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=1884, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8117","layer":3},{"info":"compute binary expreesion, left_input=10430, right_input=8117, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2313","layer":2},{"info":"compute unary expreesion, input=2313, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-227","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸176B⫳≱↱⫖↰⪸776)∋(⊙↵-⫖↰⪸BB6)⊍⩺⋍⫖↰⪸1868↺⫖↰⪸1677↺⫖↰⪸1111⇂≾⫗⫖↰⪸844)⩍⋽⫝̸(↥(⫖↰⪸1344↡⊰⫅⫖↰⪸3027-⫖↰⪸2772⪕⫖↰⪸1110))=⫖↰⪸-16B","reverse_text":"⫖↰⪸-16B=((⫖↰⪸176B⫳≱↱⫖↰⪸776)∋(⊙↵-⫖↰⪸BB6)⊍⩺⋍⫖↰⪸1868↺⫖↰⪸1677↺⫖↰⪸1111⇂≾⫗⫖↰⪸844)⩍⋽⫝̸(↥(⫖↰⪸1344↡⊰⫅⫖↰⪸3027-⫖↰⪸2772⪕⫖↰⪸1110))","cot":[{"info":"⫖↰⪸176B⫳≱↱⫖↰⪸776=⫖↰⪸-150","layer":3},{"info":"⊙↵-⫖↰⪸BB6=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-150∋⫖↰⪸-1=⫖↰⪸-32494","layer":2},{"info":"⫖↰⪸1868↺⫖↰⪸1677=⫖↰⪸1677","layer":3},{"info":"⫖↰⪸1111⇂≾⫗⫖↰⪸844=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸1677↺⫖↰⪸-484=⫖↰⪸-484","layer":2},{"info":"⫖↰⪸-32494⊍⩺⋍⫖↰⪸-484=NaN","layer":1},{"info":"⫖↰⪸1344↡⊰⫅⫖↰⪸3027=⫖↰⪸6052","layer":3},{"info":"⫖↰⪸2772⪕⫖↰⪸1110=⫖↰⪸4845","layer":3},{"info":"⫖↰⪸6052-⫖↰⪸4845=⫖↰⪸1409","layer":2},{"info":"↥⫖↰⪸1409=⫖↰⪸16","layer":1},{"info":"NaN⩍⋽⫝̸⫖↰⪸16=⫖↰⪸-16B","layer":0}]}
{"id":363,"expression_no_base_symbol":"($1296$⪭$2400$≎⊠⪸($1567$⋳⪒$3571$))⪡($5547$↬$5554$)≴⪞⇿(⋎⨆$3170$)⨑≵⋬(($6671$∀⋜↑)≄⊠($1543$↱$5771$)↛⩡⫤)","expression":"(⫖↰⪸900⪭⫖↰⪸1480≎⊠⪸(⫖↰⪸AA7⋳⪒⫖↰⪸2097))⪡(⫖↰⪸3263↬⫖↰⪸326A)≴⪞⇿(⋎⨆⫖↰⪸1A02)⨑≵⋬((⫖↰⪸3A3B∀⋜↑)≄⊠(⫖↰⪸A87↱⫖↰⪸340B)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4890,"operation_count":12,"complexity_ratio":407.5,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1296,"base":12},"right_expr":{"type":"numeric_atoms","value":2400,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1567,"base":12},"right_expr":{"type":"numeric_atoms","value":3571,"base":12}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5547,"base":12},"right_expr":{"type":"numeric_atoms","value":5554,"base":12}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":3170,"base":12}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":6671,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1543,"base":12},"right_expr":{"type":"numeric_atoms","value":5771,"base":12}}}}},"used_operators":["XnXgA4xnOs","oraRL2iQuh","bJkvcejdHO","j9kHMeSvPp","12rbrZMWeM","lvlrscuwVU","B5M0gjZbta","E64sFOc4tB","FU0Cs4j7VP","vXNesLlMH1","KipPnG1M2J","SR5kFfdi6N"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rGHVDoGpnC","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=2400, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1567","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=3571, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-724","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-724, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=5547","layer":4},{"info":"number node, value=5554","layer":4},{"info":"compute binary expreesion, left_input=5547, right_input=5554, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3170","layer":4},{"info":"compute unary expreesion, input=3170, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=6671","layer":4},{"info":"compute unary expreesion, input=6671, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=5771, 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=-16791","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=-16791, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-222589","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-222589, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸900⪭⫖↰⪸1480≎⊠⪸(⫖↰⪸AA7⋳⪒⫖↰⪸2097))⪡(⫖↰⪸3263↬⫖↰⪸326A)≴⪞⇿(⋎⨆⫖↰⪸1A02)⨑≵⋬((⫖↰⪸3A3B∀⋜↑)≄⊠(⫖↰⪸A87↱⫖↰⪸340B)↛⩡⫤)=NaN","reverse_text":"NaN=(⫖↰⪸900⪭⫖↰⪸1480≎⊠⪸(⫖↰⪸AA7⋳⪒⫖↰⪸2097))⪡(⫖↰⪸3263↬⫖↰⪸326A)≴⪞⇿(⋎⨆⫖↰⪸1A02)⨑≵⋬((⫖↰⪸3A3B∀⋜↑)≄⊠(⫖↰⪸A87↱⫖↰⪸340B)↛⩡⫤)","cot":[{"info":"⫖↰⪸900⪭⫖↰⪸1480=⫖↰⪸5","layer":3},{"info":"⫖↰⪸AA7⋳⪒⫖↰⪸2097=⫖↰⪸-504","layer":3},{"info":"⫖↰⪸5≎⊠⪸⫖↰⪸-504=⫖↰⪸57","layer":2},{"info":"⫖↰⪸3263↬⫖↰⪸326A=NaN","layer":3},{"info":"⋎⨆⫖↰⪸1A02=⫖↰⪸0","layer":3},{"info":"NaN≴⪞⇿⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸57⪡NaN=NaN","layer":1},{"info":"⫖↰⪸3A3B∀⋜↑=⫖↰⪸-344","layer":3},{"info":"⫖↰⪸A87↱⫖↰⪸340B=⫖↰⪸-9873","layer":3},{"info":"⫖↰⪸-344≄⊠⫖↰⪸-9873=⫖↰⪸A50","layer":2},{"info":"⫖↰⪸A50↛⩡⫤=⫖↰⪸-A8991","layer":1},{"info":"NaN⨑≵⋬⫖↰⪸-A8991=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"(($4716$∝$4503$)↳≱(⪨⨬$1732$)⋣⋖(⫎≠⋺($6914$⨔≚≋$1616$)))⊮⊟↴(⊄⩳↩((⨵$2700$)⩚⊴⇥$1015$⨼⩣$4315$))","expression":"((⫖↰⪸2890∝⫖↰⪸2733)↳≱(⪨⨬⫖↰⪸1004)⋣⋖(⫎≠⋺(⫖↰⪸4002⨔≚≋⫖↰⪸B28)))⊮⊟↴(⊄⩳↩((⨵⫖↰⪸1690)⩚⊴⇥⫖↰⪸707⨼⩣⫖↰⪸25B7))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":630,"operation_count":11,"complexity_ratio":57.27272727272727,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4716,"base":12},"right_expr":{"type":"numeric_atoms","value":4503,"base":12}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1732,"base":12}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":6914,"base":12},"right_expr":{"type":"numeric_atoms","value":1616,"base":12}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2700,"base":12}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":4315,"base":12}}}}},"used_operators":["QDVgd2eftb","J0M6qkBnIM","JwTKLfZU96","cTDWOvIxvz","5obUd6DV38","LYeZOJ0nQG","Z57zeUYC9z","8w2t5hMYqp","NTOWxs364D","Tl3Y52tvF8","JxwMv5le6e"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","7j4O788W3g","W4YGzv6Whe","COABgblf1C","T2fj7uvVaJ","nlCqmYiOvY","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4716","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=4716, right_input=4503, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4721","layer":3},{"info":"number node, value=1732","layer":4},{"info":"compute unary expreesion, input=1732, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=4721, right_input=-526, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=6914","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=6914, right_input=1616, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=0","layer":1},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-22809","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=4315","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=4315, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22809, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2890∝⫖↰⪸2733)↳≱(⪨⨬⫖↰⪸1004)⋣⋖(⫎≠⋺(⫖↰⪸4002⨔≚≋⫖↰⪸B28)))⊮⊟↴(⊄⩳↩((⨵⫖↰⪸1690)⩚⊴⇥⫖↰⪸707⨼⩣⫖↰⪸25B7))=NaN","reverse_text":"NaN=((⫖↰⪸2890∝⫖↰⪸2733)↳≱(⪨⨬⫖↰⪸1004)⋣⋖(⫎≠⋺(⫖↰⪸4002⨔≚≋⫖↰⪸B28)))⊮⊟↴(⊄⩳↩((⨵⫖↰⪸1690)⩚⊴⇥⫖↰⪸707⨼⩣⫖↰⪸25B7))","cot":[{"info":"⫖↰⪸2890∝⫖↰⪸2733=⫖↰⪸2895","layer":3},{"info":"⪨⨬⫖↰⪸1004=⫖↰⪸-37A","layer":3},{"info":"⫖↰⪸2895↳≱⫖↰⪸-37A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸4002⨔≚≋⫖↰⪸B28=⫖↰⪸5868","layer":3},{"info":"⫎≠⋺⫖↰⪸5868=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⋣⋖⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⨵⫖↰⪸1690=⫖↰⪸-11249","layer":3},{"info":"⫖↰⪸707⨼⩣⫖↰⪸25B7=NaN","layer":3},{"info":"⫖↰⪸-11249⩚⊴⇥NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⫖↰⪸0⊮⊟↴NaN=NaN","layer":0}]}
{"id":365,"expression_no_base_symbol":"(($2284$↼⊘⨖$2452$⋝⋈⪟$1451$∀⇚≩$1376$)⪢($1826$⩘$1032$⋷($2349$⫍⨯↯)))⨟⋌⩍(($7489$-$5197$)≠≀(⊆⋠$2641$)⫚↹⊑$1531$+⪬∐$1228$⊭↱($5758$⊓⋫))","expression":"((⫖↰⪸13A4↼⊘⨖⫖↰⪸1504⋝⋈⪟⫖↰⪸A0B∀⇚≩⫖↰⪸968)⪢(⫖↰⪸1082⩘⫖↰⪸720⋷(⫖↰⪸1439⫍⨯↯)))⨟⋌⩍((⫖↰⪸4401-⫖↰⪸3011)≠≀(⊆⋠⫖↰⪸1641)⫚↹⊑⫖↰⪸A77+⪬∐⫖↰⪸864⊭↱(⫖↰⪸33BA⊓⋫))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12467,"operation_count":15,"complexity_ratio":831.1333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2284,"base":12},"right_expr":{"type":"numeric_atoms","value":2452,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1451,"base":12},"right_expr":{"type":"numeric_atoms","value":1376,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1826,"base":12},"right_expr":{"type":"numeric_atoms","value":1032,"base":12}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":2349,"base":12}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7489,"base":12},"right_expr":{"type":"numeric_atoms","value":5197,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2641,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1531,"base":12},"right_expr":{"type":"numeric_atoms","value":1228,"base":12}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":5758,"base":12}}}}},"used_operators":["rGHVDoGpnC","dWAJyo7jo9","2DDjHMKMc0","bPywburJMS","LRNGc0VcxI","23Mk6UjR3U","cHh1gJQ2o6","ZcwmYACASQ","dfKe02y8D2","IwW236VD4Y","rysDP5nf3Z","EBhcHTkKd8","COABgblf1C","2GS7woTJqF","IqGBaFP0uj"],"dependent_operators":["Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2452, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4682","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1376, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4682, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1826","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1032, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2349","layer":4},{"info":"compute unary expreesion, input=2349, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2316","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2316, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7489","layer":4},{"info":"number node, value=5197","layer":4},{"info":"compute binary expreesion, left_input=7489, right_input=5197, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2292","layer":3},{"info":"number node, value=2641","layer":4},{"info":"compute unary expreesion, input=2641, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2292, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2413","layer":2},{"info":"number node, value=1531","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1228, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4593","layer":3},{"info":"number node, value=5758","layer":4},{"info":"compute unary expreesion, input=5758, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-5886","layer":3},{"info":"compute binary expreesion, left_input=-4593, right_input=-5886, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2581","layer":2},{"info":"compute binary expreesion, left_input=-2413, right_input=-2581, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 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":12,"result_base":12,"text":"((⫖↰⪸13A4↼⊘⨖⫖↰⪸1504⋝⋈⪟⫖↰⪸A0B∀⇚≩⫖↰⪸968)⪢(⫖↰⪸1082⩘⫖↰⪸720⋷(⫖↰⪸1439⫍⨯↯)))⨟⋌⩍((⫖↰⪸4401-⫖↰⪸3011)≠≀(⊆⋠⫖↰⪸1641)⫚↹⊑⫖↰⪸A77+⪬∐⫖↰⪸864⊭↱(⫖↰⪸33BA⊓⋫))=NaN","reverse_text":"NaN=((⫖↰⪸13A4↼⊘⨖⫖↰⪸1504⋝⋈⪟⫖↰⪸A0B∀⇚≩⫖↰⪸968)⪢(⫖↰⪸1082⩘⫖↰⪸720⋷(⫖↰⪸1439⫍⨯↯)))⨟⋌⩍((⫖↰⪸4401-⫖↰⪸3011)≠≀(⊆⋠⫖↰⪸1641)⫚↹⊑⫖↰⪸A77+⪬∐⫖↰⪸864⊭↱(⫖↰⪸33BA⊓⋫))","cot":[{"info":"⫖↰⪸13A4↼⊘⨖⫖↰⪸1504=⫖↰⪸2862","layer":3},{"info":"⫖↰⪸A0B∀⇚≩⫖↰⪸968=NaN","layer":3},{"info":"⫖↰⪸2862⋝⋈⪟NaN=NaN","layer":2},{"info":"⫖↰⪸1082⩘⫖↰⪸720=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1439⫍⨯↯=⫖↰⪸1410","layer":3},{"info":"⫖↰⪸114⋷⫖↰⪸1410=⫖↰⪸-228","layer":2},{"info":"NaN⪢⫖↰⪸-228=NaN","layer":1},{"info":"⫖↰⪸4401-⫖↰⪸3011=⫖↰⪸13B0","layer":3},{"info":"⊆⋠⫖↰⪸1641=⫖↰⪸0","layer":3},{"info":"⫖↰⪸13B0≠≀⫖↰⪸0=⫖↰⪸-1491","layer":2},{"info":"⫖↰⪸A77+⪬∐⫖↰⪸864=⫖↰⪸-27A9","layer":3},{"info":"⫖↰⪸33BA⊓⋫=⫖↰⪸-34A6","layer":3},{"info":"⫖↰⪸-27A9⊭↱⫖↰⪸-34A6=⫖↰⪸-15B1","layer":2},{"info":"⫖↰⪸-1491⫚↹⊑⫖↰⪸-15B1=⫖↰⪸-313","layer":1},{"info":"NaN⨟⋌⩍⫖↰⪸-313=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"(⇖($3123$⨳⩥⨓$1014$))⇌⫙⪟$1136$∋$1825$⨟⋌⩍(⫓⪴$1940$)⪄($6677$⫣⪄⊒$1886$⊋≦⊧($3886$⫰⋱$7076$))∥⊢⊲((⋼∭⪍$3101$)≨$4523$⋹⋡⊁$2683$)","expression":"(⇖(⫖↰⪸1983⨳⩥⨓⫖↰⪸706))⇌⫙⪟⫖↰⪸7A8∋⫖↰⪸1081⨟⋌⩍(⫓⪴⫖↰⪸1158)⪄(⫖↰⪸3A45⫣⪄⊒⫖↰⪸1112⊋≦⊧(⫖↰⪸22BA⫰⋱⫖↰⪸4118))∥⊢⊲((⋼∭⪍⫖↰⪸1965)≨⫖↰⪸274B⋹⋡⊁⫖↰⪸1677)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":129408,"operation_count":14,"complexity_ratio":9243.42857142857,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3123,"base":12},"right_expr":{"type":"numeric_atoms","value":1014,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1136,"base":12},"right_expr":{"type":"numeric_atoms","value":1825,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1940,"base":12}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6677,"base":12},"right_expr":{"type":"numeric_atoms","value":1886,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3886,"base":12},"right_expr":{"type":"numeric_atoms","value":7076,"base":12}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3101,"base":12}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4523,"base":12},"right_expr":{"type":"numeric_atoms","value":2683,"base":12}}}}},"used_operators":["SUmda5xLS4","AFVx7xoS7T","tfWHHpNKUN","nCS4ZIUYfx","rGHVDoGpnC","ukq6epAj5P","eLxqMNBOBk","v1UQAVDJRr","oRDoc9rAEX","RabNbG55vr","6o9Blt3TJ6","0KMCeP1Jsh","DbCuESL50I","As8RqfVLgs"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","2DQ55sFlQl","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9HNa5Wba9A","EBcxylXtPf","rGHVDoGpnC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3123","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1014, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2109","layer":3},{"info":"compute unary expreesion, input=-2109, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=1136","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=1825, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3786800","layer":3},{"info":"number node, value=1940","layer":4},{"info":"compute unary expreesion, input=1940, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3763600","layer":3},{"info":"compute binary expreesion, left_input=3786800, right_input=3763600, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=6677","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=6677, right_input=1886, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10618","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=7076","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=7076, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3853","layer":3},{"info":"compute binary expreesion, left_input=-10618, right_input=-3853, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=3101","layer":4},{"info":"compute unary expreesion, input=3101, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-10664","layer":3},{"info":"number node, value=4523","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=2683, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3433","layer":3},{"info":"compute binary expreesion, left_input=-10664, right_input=3433, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=21984","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=21984, 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=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"(⇖(⫖↰⪸1983⨳⩥⨓⫖↰⪸706))⇌⫙⪟⫖↰⪸7A8∋⫖↰⪸1081⨟⋌⩍(⫓⪴⫖↰⪸1158)⪄(⫖↰⪸3A45⫣⪄⊒⫖↰⪸1112⊋≦⊧(⫖↰⪸22BA⫰⋱⫖↰⪸4118))∥⊢⊲((⋼∭⪍⫖↰⪸1965)≨⫖↰⪸274B⋹⋡⊁⫖↰⪸1677)=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(⇖(⫖↰⪸1983⨳⩥⨓⫖↰⪸706))⇌⫙⪟⫖↰⪸7A8∋⫖↰⪸1081⨟⋌⩍(⫓⪴⫖↰⪸1158)⪄(⫖↰⪸3A45⫣⪄⊒⫖↰⪸1112⊋≦⊧(⫖↰⪸22BA⫰⋱⫖↰⪸4118))∥⊢⊲((⋼∭⪍⫖↰⪸1965)≨⫖↰⪸274B⋹⋡⊁⫖↰⪸1677)","cot":[{"info":"⫖↰⪸1983⨳⩥⨓⫖↰⪸706=⫖↰⪸-1279","layer":3},{"info":"⇖⫖↰⪸-1279=⫖↰⪸114","layer":2},{"info":"⫖↰⪸7A8∋⫖↰⪸1081=⫖↰⪸1327528","layer":3},{"info":"⫓⪴⫖↰⪸1158=⫖↰⪸1316014","layer":3},{"info":"⫖↰⪸1327528⨟⋌⩍⫖↰⪸1316014=NaN","layer":2},{"info":"⫖↰⪸114⇌⫙⪟NaN=NaN","layer":1},{"info":"⫖↰⪸3A45⫣⪄⊒⫖↰⪸1112=⫖↰⪸-618A","layer":3},{"info":"⫖↰⪸22BA⫰⋱⫖↰⪸4118=⫖↰⪸-2291","layer":3},{"info":"⫖↰⪸-618A⊋≦⊧⫖↰⪸-2291=⫖↰⪸140","layer":2},{"info":"⋼∭⪍⫖↰⪸1965=⫖↰⪸-6208","layer":3},{"info":"⫖↰⪸274B⋹⋡⊁⫖↰⪸1677=⫖↰⪸1BA1","layer":3},{"info":"⫖↰⪸-6208≨⫖↰⪸1BA1=⫖↰⪸10880","layer":2},{"info":"⫖↰⪸140∥⊢⊲⫖↰⪸10880=NaN","layer":1},{"info":"NaN⪄NaN=⫖↰⪸2377","layer":0}]}
{"id":367,"expression_no_base_symbol":"(∨∊⋏($6184$⪢$3675$⇞))⨵⪆(($1259$⨔≚≋$5041$)∩⋅)⊢($3631$⋓$1001$⊉≛↸$2053$⫁$5652$)","expression":"(∨∊⋏(⫖↰⪸36B4⪢⫖↰⪸2163⇞))⨵⪆((⫖↰⪸88B⨔≚≋⫖↰⪸2B01)∩⋅)⊢(⫖↰⪸2127⋓⫖↰⪸6B5⊉≛↸⫖↰⪸1231⫁⫖↰⪸3330)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6301,"operation_count":10,"complexity_ratio":630.1,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6184,"base":12},"right_expr":{"type":"numeric_atoms","value":3675,"base":12}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1259,"base":12},"right_expr":{"type":"numeric_atoms","value":5041,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3631,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2053,"base":12},"right_expr":{"type":"numeric_atoms","value":5652,"base":12}}}}},"used_operators":["2DQ55sFlQl","R5aXW34M0v","5JYyxRJd4f","dWAJyo7jo9","5twsqlHp2o","2MzE1hQ0cz","Z57zeUYC9z","DZ8iAZOCBD","T2fj7uvVaJ","0ajvFaJAv0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Qy55tPpLXF","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6184","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=6184, right_input=3675, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":1},{"info":"number node, value=1259","layer":4},{"info":"number node, value=5041","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=5041, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-9751","layer":2},{"info":"number node, value=3631","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3631, right_input=1001, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2053","layer":4},{"info":"number node, value=5652","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=5652, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-9751, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=19258","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19258, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(∨∊⋏(⫖↰⪸36B4⪢⫖↰⪸2163⇞))⨵⪆((⫖↰⪸88B⨔≚≋⫖↰⪸2B01)∩⋅)⊢(⫖↰⪸2127⋓⫖↰⪸6B5⊉≛↸⫖↰⪸1231⫁⫖↰⪸3330)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(∨∊⋏(⫖↰⪸36B4⪢⫖↰⪸2163⇞))⨵⪆((⫖↰⪸88B⨔≚≋⫖↰⪸2B01)∩⋅)⊢(⫖↰⪸2127⋓⫖↰⪸6B5⊉≛↸⫖↰⪸1231⫁⫖↰⪸3330)","cot":[{"info":"⫖↰⪸36B4⪢⫖↰⪸2163=NaN","layer":3},{"info":"NaN⇞=NaN","layer":2},{"info":"∨∊⋏NaN=NaN","layer":1},{"info":"⫖↰⪸88B⨔≚≋⫖↰⪸2B01=⫖↰⪸5868","layer":3},{"info":"⫖↰⪸5868∩⋅=⫖↰⪸-5787","layer":2},{"info":"⫖↰⪸2127⋓⫖↰⪸6B5=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1231⫁⫖↰⪸3330=⫖↰⪸114","layer":3},{"info":"⫖↰⪸0⊉≛↸⫖↰⪸114=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-5787⊢⫖↰⪸0=⫖↰⪸B18A","layer":1},{"info":"NaN⨵⪆⫖↰⪸B18A=⫖↰⪸114","layer":0}]}
{"id":368,"expression_no_base_symbol":"↡(($5214$⋝⋈⪟$3393$)⇴($1015$⨽$7440$))⇂≾⫗((⩒∊$2988$)→⨶⪴($1059$⨵⪆$7030$))","expression":"↡((⫖↰⪸3026⋝⋈⪟⫖↰⪸1B69)⇴(⫖↰⪸707⨽⫖↰⪸4380))⇂≾⫗((⩒∊⫖↰⪸1890)→⨶⪴(⫖↰⪸743⨵⪆⫖↰⪸409A))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1142,"operation_count":8,"complexity_ratio":142.75,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5214,"base":12},"right_expr":{"type":"numeric_atoms","value":3393,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":7440,"base":12}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2988,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1059,"base":12},"right_expr":{"type":"numeric_atoms","value":7030,"base":12}}}}},"used_operators":["MXaNJeIAZ3","aBQ6xLxuTc","4JB6nKBMSY","2DDjHMKMc0","8HhzD0ZcuI","bF6eod5Gvf","qazvmhNBbN","2DQ55sFlQl"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","9FxExcQeMw","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-35A6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5214","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=5214, right_input=3393, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5214","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=7440","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=7440, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3111681","layer":3},{"info":"compute binary expreesion, left_input=5214, right_input=-3111681, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-6192464","layer":2},{"info":"number node, value=2988","layer":4},{"info":"compute unary expreesion, input=2988, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=5219","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=7030","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=7030, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5219, right_input=160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=-6192464, right_input=-480, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-6030","layer":0}],"base":12,"result_base":12,"text":"↡((⫖↰⪸3026⋝⋈⪟⫖↰⪸1B69)⇴(⫖↰⪸707⨽⫖↰⪸4380))⇂≾⫗((⩒∊⫖↰⪸1890)→⨶⪴(⫖↰⪸743⨵⪆⫖↰⪸409A))=⫖↰⪸-35A6","reverse_text":"⫖↰⪸-35A6=↡((⫖↰⪸3026⋝⋈⪟⫖↰⪸1B69)⇴(⫖↰⪸707⨽⫖↰⪸4380))⇂≾⫗((⩒∊⫖↰⪸1890)→⨶⪴(⫖↰⪸743⨵⪆⫖↰⪸409A))","cot":[{"info":"⫖↰⪸3026⋝⋈⪟⫖↰⪸1B69=⫖↰⪸3026","layer":3},{"info":"⫖↰⪸707⨽⫖↰⪸4380=⫖↰⪸-10608A9","layer":3},{"info":"⫖↰⪸3026⇴⫖↰⪸-10608A9=⫖↰⪸-20A7728","layer":2},{"info":"⩒∊⫖↰⪸1890=⫖↰⪸302B","layer":3},{"info":"⫖↰⪸743⨵⪆⫖↰⪸409A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸302B→⨶⪴⫖↰⪸114=⫖↰⪸-340","layer":2},{"info":"⫖↰⪸-20A7728⇂≾⫗⫖↰⪸-340=⫖↰⪸-47A","layer":1},{"info":"↡⫖↰⪸-47A=⫖↰⪸-35A6","layer":0}]}
{"id":369,"expression_no_base_symbol":"(($1069$⩘$1095$↬$1034$⊔$4930$)⫘($1871$⇻⋧≁$1130$⪄$1047$⪶≀⋏$1100$))⩱","expression":"((⫖↰⪸751⩘⫖↰⪸773↬⫖↰⪸722⊔⫖↰⪸2A2A)⫘(⫖↰⪸10BB⇻⋧≁⫖↰⪸7A2⪄⫖↰⪸733⪶≀⋏⫖↰⪸778))⩱","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2206,"operation_count":8,"complexity_ratio":275.75,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1069,"base":12},"right_expr":{"type":"numeric_atoms","value":1095,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1034,"base":12},"right_expr":{"type":"numeric_atoms","value":4930,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1871,"base":12},"right_expr":{"type":"numeric_atoms","value":1130,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1047,"base":12},"right_expr":{"type":"numeric_atoms","value":1100,"base":12}}}}},"used_operators":["uyq1hVkAcj","48vC8HMD2b","B5M0gjZbta","cHh1gJQ2o6","E4l6HwMY31","SUmda5xLS4","jCPkEVoL5K","zR4jO40bMj"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rGHVDoGpnC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=1095, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=4930","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=4930, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=24318","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=24318, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1130, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1100, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-5573","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-5573, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸751⩘⫖↰⪸773↬⫖↰⪸722⊔⫖↰⪸2A2A)⫘(⫖↰⪸10BB⇻⋧≁⫖↰⪸7A2⪄⫖↰⪸733⪶≀⋏⫖↰⪸778))⩱=NaN","reverse_text":"NaN=((⫖↰⪸751⩘⫖↰⪸773↬⫖↰⪸722⊔⫖↰⪸2A2A)⫘(⫖↰⪸10BB⇻⋧≁⫖↰⪸7A2⪄⫖↰⪸733⪶≀⋏⫖↰⪸778))⩱","cot":[{"info":"⫖↰⪸751⩘⫖↰⪸773=⫖↰⪸114","layer":3},{"info":"⫖↰⪸722⊔⫖↰⪸2A2A=⫖↰⪸120A6","layer":3},{"info":"⫖↰⪸114↬⫖↰⪸120A6=NaN","layer":2},{"info":"⫖↰⪸10BB⇻⋧≁⫖↰⪸7A2=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸733⪶≀⋏⫖↰⪸778=⫖↰⪸-3285","layer":3},{"info":"⫖↰⪸-313⪄⫖↰⪸-3285=⫖↰⪸2377","layer":2},{"info":"NaN⫘⫖↰⪸2377=NaN","layer":1},{"info":"NaN⩱=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"(($1212$⨸$5135$)⫗⊷⫓($2351$⪢$1889$)⩵∡($6275$∠⫱$1054$)⪃⊛⇣($3167$∷$3126$))↳∿⪆(((≻⋜$1208$)⋓($2458$∁))⋛(↑($1431$∑⇟⊟$3554$)))","expression":"((⫖↰⪸850⨸⫖↰⪸2B7B)⫗⊷⫓(⫖↰⪸143B⪢⫖↰⪸1115)⩵∡(⫖↰⪸376B∠⫱⫖↰⪸73A)⪃⊛⇣(⫖↰⪸19BB∷⫖↰⪸1986))↳∿⪆(((≻⋜⫖↰⪸848)⋓(⫖↰⪸150A∁))⋛(↑(⫖↰⪸9B3∑⇟⊟⫖↰⪸2082)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":17122,"operation_count":14,"complexity_ratio":1223.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1212,"base":12},"right_expr":{"type":"numeric_atoms","value":5135,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2351,"base":12},"right_expr":{"type":"numeric_atoms","value":1889,"base":12}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6275,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3167,"base":12},"right_expr":{"type":"numeric_atoms","value":3126,"base":12}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1208,"base":12}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":2458,"base":12}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1431,"base":12},"right_expr":{"type":"numeric_atoms","value":3554,"base":12}}}}},"used_operators":["Cw4SuJJGHO","Y7wcNGrDQJ","zashukvMKz","KmoU8R5UQR","dWAJyo7jo9","rrgAzCduG9","QvoQhV0rrE","D3AQDKkPcf","YbUVn0Rbpy","T2fj7uvVaJ","3tj9sqzovi","jdwGQqwJi5","tR7O2zTn5j","U7g4x0WXJJ"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","7j4O788W3g","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","2DDjHMKMc0","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=5135, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2424","layer":3},{"info":"number node, value=2351","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=1889, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2424, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=6275","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=6275, right_input=1054, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3167","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=3126, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3126","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3126, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1234, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1515","layer":1},{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=2458","layer":4},{"info":"compute unary expreesion, input=2458, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=2458","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2458, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=3554, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1515, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸850⨸⫖↰⪸2B7B)⫗⊷⫓(⫖↰⪸143B⪢⫖↰⪸1115)⩵∡(⫖↰⪸376B∠⫱⫖↰⪸73A)⪃⊛⇣(⫖↰⪸19BB∷⫖↰⪸1986))↳∿⪆(((≻⋜⫖↰⪸848)⋓(⫖↰⪸150A∁))⋛(↑(⫖↰⪸9B3∑⇟⊟⫖↰⪸2082)))=NaN","reverse_text":"NaN=((⫖↰⪸850⨸⫖↰⪸2B7B)⫗⊷⫓(⫖↰⪸143B⪢⫖↰⪸1115)⩵∡(⫖↰⪸376B∠⫱⫖↰⪸73A)⪃⊛⇣(⫖↰⪸19BB∷⫖↰⪸1986))↳∿⪆(((≻⋜⫖↰⪸848)⋓(⫖↰⪸150A∁))⋛(↑(⫖↰⪸9B3∑⇟⊟⫖↰⪸2082)))","cot":[{"info":"⫖↰⪸850⨸⫖↰⪸2B7B=⫖↰⪸14A0","layer":3},{"info":"⫖↰⪸143B⪢⫖↰⪸1115=NaN","layer":3},{"info":"⫖↰⪸14A0⫗⊷⫓NaN=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸376B∠⫱⫖↰⪸73A=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸19BB∷⫖↰⪸1986=⫖↰⪸1986","layer":3},{"info":"⫖↰⪸86A⪃⊛⇣⫖↰⪸1986=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸-B2⩵∡⫖↰⪸86A=⫖↰⪸A63","layer":1},{"info":"≻⋜⫖↰⪸848=NaN","layer":3},{"info":"⫖↰⪸150A∁=⫖↰⪸150A","layer":3},{"info":"NaN⋓⫖↰⪸150A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸9B3∑⇟⊟⫖↰⪸2082=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⫖↰⪸0⋛NaN=NaN","layer":1},{"info":"⫖↰⪸A63↳∿⪆NaN=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"↨(($5875$+$7227$)∲⫓$5681$⫞⩸⩒$2048$)⫘(⇠(↥≼⋛$4434$))","expression":"↨((⫖↰⪸3497+⫖↰⪸4223)∲⫓⫖↰⪸3355⫞⩸⩒⫖↰⪸1228)⫘(⇠(↥≼⋛⫖↰⪸2696))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":254,"operation_count":7,"complexity_ratio":36.285714285714285,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5875,"base":12},"right_expr":{"type":"numeric_atoms","value":7227,"base":12}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5681,"base":12},"right_expr":{"type":"numeric_atoms","value":2048,"base":12}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":4434,"base":12}}}}},"used_operators":["jiX4gk2v2Q","48vC8HMD2b","i8ToyICDmI","W4YGzv6Whe","XGcMNugi78","18saOjeKKm","x5lMkHmzsq"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5875","layer":4},{"info":"number node, value=7227","layer":4},{"info":"compute binary expreesion, left_input=5875, right_input=7227, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13102","layer":3},{"info":"number node, value=5681","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=5681, right_input=2048, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2048","layer":3},{"info":"compute binary expreesion, left_input=13102, right_input=2048, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=4434","layer":4},{"info":"compute unary expreesion, input=4434, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↨((⫖↰⪸3497+⫖↰⪸4223)∲⫓⫖↰⪸3355⫞⩸⩒⫖↰⪸1228)⫘(⇠(↥≼⋛⫖↰⪸2696))=NaN","reverse_text":"NaN=↨((⫖↰⪸3497+⫖↰⪸4223)∲⫓⫖↰⪸3355⫞⩸⩒⫖↰⪸1228)⫘(⇠(↥≼⋛⫖↰⪸2696))","cot":[{"info":"⫖↰⪸3497+⫖↰⪸4223=⫖↰⪸76BA","layer":3},{"info":"⫖↰⪸3355⫞⩸⩒⫖↰⪸1228=⫖↰⪸1228","layer":3},{"info":"⫖↰⪸76BA∲⫓⫖↰⪸1228=⫖↰⪸0","layer":2},{"info":"↥≼⋛⫖↰⪸2696=⫖↰⪸-95","layer":3},{"info":"⇠⫖↰⪸-95=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⫘⫖↰⪸0=NaN","layer":1},{"info":"↨NaN=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"↴⪽⋼(↩⪖$3663$)⋣⋖$1389$∳⫺$2065$⨐⩸⫘($2352$⩁⩘$1028$⇩)","expression":"↴⪽⋼(↩⪖⫖↰⪸2153)⋣⋖⫖↰⪸979∳⫺⫖↰⪸1241⨐⩸⫘(⫖↰⪸1440⩁⩘⫖↰⪸718⇩)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3644,"operation_count":7,"complexity_ratio":520.5714285714286,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3663,"base":12}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1389,"base":12},"right_expr":{"type":"numeric_atoms","value":2065,"base":12}}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2352,"base":12},"right_expr":{"type":"numeric_atoms","value":1028,"base":12}}}}},"used_operators":["5TUYCnJO6w","fu6greOZ01","J0M6qkBnIM","fG6uBQFnGz","AzXXKTstlj","vRio1gEz1j","gub5Cegaqo"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","3ViojmjbAp","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3663","layer":4},{"info":"compute unary expreesion, input=3663, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-24960","layer":3},{"info":"number node, value=1389","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=2065, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-24960, right_input=-260, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"number node, value=2352","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=1028, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5060","layer":3},{"info":"compute unary expreesion, input=5060, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=5153","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=5153, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↴⪽⋼(↩⪖⫖↰⪸2153)⋣⋖⫖↰⪸979∳⫺⫖↰⪸1241⨐⩸⫘(⫖↰⪸1440⩁⩘⫖↰⪸718⇩)=NaN","reverse_text":"NaN=↴⪽⋼(↩⪖⫖↰⪸2153)⋣⋖⫖↰⪸979∳⫺⫖↰⪸1241⨐⩸⫘(⫖↰⪸1440⩁⩘⫖↰⪸718⇩)","cot":[{"info":"↩⪖⫖↰⪸2153=⫖↰⪸-12540","layer":3},{"info":"⫖↰⪸979∳⫺⫖↰⪸1241=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸-12540⋣⋖⫖↰⪸-198=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸1440⩁⩘⫖↰⪸718=⫖↰⪸2B18","layer":3},{"info":"⫖↰⪸2B18⇩=⫖↰⪸2B95","layer":2},{"info":"⫖↰⪸-37B⨐⩸⫘⫖↰⪸2B95=NaN","layer":1},{"info":"↴⪽⋼NaN=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"((∮($1101$⪘⫢$2787$))⫰⋱$2703$⪒⊣⊆$2673$⊋≦⊧$1927$⫘$3310$)∀⇚≩(($6660$⫌⩉⩟$4233$)⩵∡$1053$⇌⫙⪟$1088$)⩖⊿(($3086$≦≮≮)⫸⊐$1448$⋛$7145$)","expression":"((∮(⫖↰⪸779⪘⫢⫖↰⪸1743))⫰⋱⫖↰⪸1693⪒⊣⊆⫖↰⪸1669⊋≦⊧⫖↰⪸1147⫘⫖↰⪸1ABA)∀⇚≩((⫖↰⪸3A30⫌⩉⩟⫖↰⪸2549)⩵∡⫖↰⪸739⇌⫙⪟⫖↰⪸768)⩖⊿((⫖↰⪸1952≦≮≮)⫸⊐⫖↰⪸A08⋛⫖↰⪸4175)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":25909,"operation_count":14,"complexity_ratio":1850.642857142857,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1101,"base":12},"right_expr":{"type":"numeric_atoms","value":2787,"base":12}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2703,"base":12},"right_expr":{"type":"numeric_atoms","value":2673,"base":12}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1927,"base":12},"right_expr":{"type":"numeric_atoms","value":3310,"base":12}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6660,"base":12},"right_expr":{"type":"numeric_atoms","value":4233,"base":12}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1053,"base":12},"right_expr":{"type":"numeric_atoms","value":1088,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3086,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1448,"base":12},"right_expr":{"type":"numeric_atoms","value":7145,"base":12}}}}},"used_operators":["LRNGc0VcxI","6o9Blt3TJ6","CqXKPLVYql","oacrs7FA3X","oRDoc9rAEX","eRqsBgTDFp","48vC8HMD2b","RZ5CV9rWsJ","Y7wcNGrDQJ","XIIwhv8d0m","AFVx7xoS7T","mqXw5SEYmG","D4vGDi5EA2","YbUVn0Rbpy"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","sdazOOVcIp","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=2787, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2078","layer":3},{"info":"compute unary expreesion, input=2078, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":2},{"info":"number node, value=2703","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=2673, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5406","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=3310, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2270557","layer":3},{"info":"compute binary expreesion, left_input=5406, right_input=2270557, 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=-2275723","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-2275723, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=2275723","layer":1},{"info":"number node, value=6660","layer":4},{"info":"number node, value=4233","layer":4},{"info":"compute binary expreesion, left_input=6660, right_input=4233, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1088, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=113, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=142","layer":2},{"info":"number node, value=3086","layer":4},{"info":"compute unary expreesion, input=3086, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9258","layer":3},{"info":"number node, value=1448","layer":4},{"info":"number node, value=7145","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=7145, 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=-119160","layer":3},{"info":"compute binary expreesion, left_input=-9258, right_input=-119160, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=142, right_input=968, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=2275723, right_input=-22, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":12,"result_base":12,"text":"((∮(⫖↰⪸779⪘⫢⫖↰⪸1743))⫰⋱⫖↰⪸1693⪒⊣⊆⫖↰⪸1669⊋≦⊧⫖↰⪸1147⫘⫖↰⪸1ABA)∀⇚≩((⫖↰⪸3A30⫌⩉⩟⫖↰⪸2549)⩵∡⫖↰⪸739⇌⫙⪟⫖↰⪸768)⩖⊿((⫖↰⪸1952≦≮≮)⫸⊐⫖↰⪸A08⋛⫖↰⪸4175)=NaN","reverse_text":"NaN=((∮(⫖↰⪸779⪘⫢⫖↰⪸1743))⫰⋱⫖↰⪸1693⪒⊣⊆⫖↰⪸1669⊋≦⊧⫖↰⪸1147⫘⫖↰⪸1ABA)∀⇚≩((⫖↰⪸3A30⫌⩉⩟⫖↰⪸2549)⩵∡⫖↰⪸739⇌⫙⪟⫖↰⪸768)⩖⊿((⫖↰⪸1952≦≮≮)⫸⊐⫖↰⪸A08⋛⫖↰⪸4175)","cot":[{"info":"⫖↰⪸779⪘⫢⫖↰⪸1743=⫖↰⪸1252","layer":3},{"info":"∮⫖↰⪸1252=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1693⪒⊣⊆⫖↰⪸1669=⫖↰⪸3166","layer":3},{"info":"⫖↰⪸1147⫘⫖↰⪸1ABA=⫖↰⪸915B91","layer":3},{"info":"⫖↰⪸3166⊋≦⊧⫖↰⪸915B91=⫖↰⪸-918B77","layer":2},{"info":"⫖↰⪸57⫰⋱⫖↰⪸-918B77=⫖↰⪸918B77","layer":1},{"info":"⫖↰⪸3A30⫌⩉⩟⫖↰⪸2549=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸739⇌⫙⪟⫖↰⪸768=⫖↰⪸95","layer":3},{"info":"⫖↰⪸-42⩵∡⫖↰⪸95=⫖↰⪸BA","layer":2},{"info":"⫖↰⪸1952≦≮≮=⫖↰⪸-5436","layer":3},{"info":"⫖↰⪸A08⋛⫖↰⪸4175=⫖↰⪸-58B60","layer":3},{"info":"⫖↰⪸-5436⫸⊐⫖↰⪸-58B60=⫖↰⪸688","layer":2},{"info":"⫖↰⪸BA⩖⊿⫖↰⪸688=⫖↰⪸-1A","layer":1},{"info":"⫖↰⪸918B77∀⇚≩⫖↰⪸-1A=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"($4550$⨐$2394$⩘)⫳≱↱(⫟$3096$↙$2252$)⪬∳","expression":"(⫖↰⪸2772⨐⫖↰⪸1476⩘)⫳≱↱(⫟⫖↰⪸1960↙⫖↰⪸1378)⪬∳","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3383,"operation_count":6,"complexity_ratio":563.8333333333334,"tree":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4550,"base":12},"right_expr":{"type":"numeric_atoms","value":2394,"base":12}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3096,"base":12},"right_expr":{"type":"numeric_atoms","value":2252,"base":12}}}}},"used_operators":["O9U3z1385E","ZvLB05nZmT","wvHyciQT5X","Noe24qw2ks","z4E1FaHLuy","yyfyN0ffXY"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9ICcGScMcE","dfKe02y8D2","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4550","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=2394, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9100","layer":3},{"info":"compute unary expreesion, input=-9100, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"number node, value=3096","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=2252, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6756","layer":3},{"info":"compute unary expreesion, input=-6756, 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=6518","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=6518, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute unary expreesion, input=-204, 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":12,"result_base":12,"text":"(⫖↰⪸2772⨐⫖↰⪸1476⩘)⫳≱↱(⫟⫖↰⪸1960↙⫖↰⪸1378)⪬∳=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2772⨐⫖↰⪸1476⩘)⫳≱↱(⫟⫖↰⪸1960↙⫖↰⪸1378)⪬∳","cot":[{"info":"⫖↰⪸2772⨐⫖↰⪸1476=⫖↰⪸-5324","layer":3},{"info":"⫖↰⪸-5324⩘=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1960↙⫖↰⪸1378=⫖↰⪸-3AB0","layer":3},{"info":"⫟⫖↰⪸-3AB0=⫖↰⪸3932","layer":2},{"info":"⫖↰⪸57⫳≱↱⫖↰⪸3932=⫖↰⪸-150","layer":1},{"info":"⫖↰⪸-150⪬∳=⫖↰⪸0","layer":0}]}
{"id":375,"expression_no_base_symbol":"⊙↵-(↯⪼($1951$∖$6756$)↳∿⪆($3997$⊋$3221$))","expression":"⊙↵-(↯⪼(⫖↰⪸1167∖⫖↰⪸3AB0)↳∿⪆(⫖↰⪸2391⊋⫖↰⪸1A45))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":406332,"operation_count":5,"complexity_ratio":81266.4,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1951,"base":12},"right_expr":{"type":"numeric_atoms","value":6756,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3997,"base":12},"right_expr":{"type":"numeric_atoms","value":3221,"base":12}}}}},"used_operators":["oWn0xqSxBt","8jW3W4yZS5","Cw4SuJJGHO","tXD093vOjl","W4tP9CfskL"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1951","layer":4},{"info":"number node, value=6756","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=6756, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=3997","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=3221, 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=20476060","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20476060, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊙↵-(↯⪼(⫖↰⪸1167∖⫖↰⪸3AB0)↳∿⪆(⫖↰⪸2391⊋⫖↰⪸1A45))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-(↯⪼(⫖↰⪸1167∖⫖↰⪸3AB0)↳∿⪆(⫖↰⪸2391⊋⫖↰⪸1A45))","cot":[{"info":"⫖↰⪸1167∖⫖↰⪸3AB0=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2391⊋⫖↰⪸1A45=⫖↰⪸6A356A4","layer":3},{"info":"⫖↰⪸0↳∿⪆⫖↰⪸6A356A4=NaN","layer":2},{"info":"↯⪼NaN=⫖↰⪸-19","layer":1},{"info":"⊙↵-⫖↰⪸-19=⫖↰⪸0","layer":0}]}
{"id":376,"expression_no_base_symbol":"(⩪∧⨌((⇉-⫰$2778$)*(∡$2662$)))⩁⩘(($1318$⇪⋭)∥⊢⊲($3918$↳∿⪆$1849$)⫢⨠(($1579$↠)⨕⋳))","expression":"(⩪∧⨌((⇉-⫰⫖↰⪸1736)*(∡⫖↰⪸165A)))⩁⩘((⫖↰⪸91A⇪⋭)∥⊢⊲(⫖↰⪸2326↳∿⪆⫖↰⪸10A1)⫢⨠((⫖↰⪸AB7↠)⨕⋳))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2654,"operation_count":11,"complexity_ratio":241.27272727272728,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2778,"base":12}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2662,"base":12}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1318,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3918,"base":12},"right_expr":{"type":"numeric_atoms","value":1849,"base":12}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1579,"base":12}}}}},"used_operators":["gub5Cegaqo","6iOiAJX1F8","9HNa5Wba9A","IGFM8TAlm9","pRsWfj4Fpp","xlXykHWxX1","v1UQAVDJRr","Z8Yg6dlDSp","Cw4SuJJGHO","4X4GscPmMf","LBdsKIvxzf"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","eH2TOUuTDT","eewbuw0ToL","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","EBcxylXtPf","rGHVDoGpnC","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2778","layer":4},{"info":"compute unary expreesion, input=2778, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=2662","layer":4},{"info":"compute unary expreesion, input=2662, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2662","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-2662, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-53240","layer":2},{"info":"compute unary expreesion, input=-53240, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-532400","layer":1},{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=3918","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=1849, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-65834","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-65834, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-532400, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩪∧⨌((⇉-⫰⫖↰⪸1736)*(∡⫖↰⪸165A)))⩁⩘((⫖↰⪸91A⇪⋭)∥⊢⊲(⫖↰⪸2326↳∿⪆⫖↰⪸10A1)⫢⨠((⫖↰⪸AB7↠)⨕⋳))=NaN","reverse_text":"NaN=(⩪∧⨌((⇉-⫰⫖↰⪸1736)*(∡⫖↰⪸165A)))⩁⩘((⫖↰⪸91A⇪⋭)∥⊢⊲(⫖↰⪸2326↳∿⪆⫖↰⪸10A1)⫢⨠((⫖↰⪸AB7↠)⨕⋳))","cot":[{"info":"⇉-⫰⫖↰⪸1736=⫖↰⪸18","layer":3},{"info":"∡⫖↰⪸165A=⫖↰⪸-165A","layer":3},{"info":"⫖↰⪸18*⫖↰⪸-165A=⫖↰⪸-26988","layer":2},{"info":"⩪∧⨌⫖↰⪸-26988=⫖↰⪸-218128","layer":1},{"info":"⫖↰⪸91A⇪⋭=NaN","layer":3},{"info":"⫖↰⪸2326↳∿⪆⫖↰⪸10A1=NaN","layer":3},{"info":"NaN∥⊢⊲NaN=NaN","layer":2},{"info":"⫖↰⪸AB7↠=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-313⨕⋳=⫖↰⪸-32122","layer":2},{"info":"NaN⫢⨠⫖↰⪸-32122=NaN","layer":1},{"info":"⫖↰⪸-218128⩁⩘NaN=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"(⨣⨃⇪$3470$)⫁($3746$⇄$4227$)⫌⩉⩟(⪡⇡≛($7860$↙$4114$))⫡⨏(∓⪦($1694$⨥⫆$5249$)⪬($3550$⪘⫢$1602$))","expression":"(⨣⨃⇪⫖↰⪸2012)⫁(⫖↰⪸2202⇄⫖↰⪸2543)⫌⩉⩟(⪡⇡≛(⫖↰⪸4670↙⫖↰⪸246A))⫡⨏(∓⪦(⫖↰⪸B92⨥⫆⫖↰⪸3055)⪬(⫖↰⪸207A⪘⫢⫖↰⪸B16))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":68150,"operation_count":11,"complexity_ratio":6195.454545454545,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3470,"base":12}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3746,"base":12},"right_expr":{"type":"numeric_atoms","value":4227,"base":12}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7860,"base":12},"right_expr":{"type":"numeric_atoms","value":4114,"base":12}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1694,"base":12},"right_expr":{"type":"numeric_atoms","value":5249,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3550,"base":12},"right_expr":{"type":"numeric_atoms","value":1602,"base":12}}}}},"used_operators":["QMFrweE19q","XIIwhv8d0m","0ajvFaJAv0","AcOhelriW5","3EYGwJThht","qL4PrbW1Dq","yyfyN0ffXY","D309nIvmXG","Ez1Nq5fNfI","yXekIHxTD4","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","cHh1gJQ2o6","AHs5Up7iyr","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫖↰⪸1321","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3470","layer":4},{"info":"compute unary expreesion, input=3470, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=3746","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=3746, right_input=4227, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=7860","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=7860, right_input=4114, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12342","layer":3},{"info":"compute unary expreesion, input=-12342, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-12342","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-12342, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1694","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=5249, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10374","layer":3},{"info":"number node, value=3550","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=3550, right_input=1602, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6976","layer":3},{"info":"compute binary expreesion, left_input=10374, right_input=6976, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=826","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=826, 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=2185","layer":0}],"base":12,"result_base":12,"text":"(⨣⨃⇪⫖↰⪸2012)⫁(⫖↰⪸2202⇄⫖↰⪸2543)⫌⩉⩟(⪡⇡≛(⫖↰⪸4670↙⫖↰⪸246A))⫡⨏(∓⪦(⫖↰⪸B92⨥⫆⫖↰⪸3055)⪬(⫖↰⪸207A⪘⫢⫖↰⪸B16))=⫖↰⪸1321","reverse_text":"⫖↰⪸1321=(⨣⨃⇪⫖↰⪸2012)⫁(⫖↰⪸2202⇄⫖↰⪸2543)⫌⩉⩟(⪡⇡≛(⫖↰⪸4670↙⫖↰⪸246A))⫡⨏(∓⪦(⫖↰⪸B92⨥⫆⫖↰⪸3055)⪬(⫖↰⪸207A⪘⫢⫖↰⪸B16))","cot":[{"info":"⨣⨃⇪⫖↰⪸2012=⫖↰⪸991","layer":3},{"info":"⫖↰⪸2202⇄⫖↰⪸2543=⫖↰⪸0","layer":3},{"info":"⫖↰⪸991⫁⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸4670↙⫖↰⪸246A=⫖↰⪸-7186","layer":3},{"info":"⪡⇡≛⫖↰⪸-7186=⫖↰⪸-7186","layer":2},{"info":"⫖↰⪸114⫌⩉⩟⫖↰⪸-7186=⫖↰⪸-42","layer":1},{"info":"⫖↰⪸B92⨥⫆⫖↰⪸3055=⫖↰⪸6006","layer":3},{"info":"⫖↰⪸207A⪘⫢⫖↰⪸B16=⫖↰⪸4054","layer":3},{"info":"⫖↰⪸6006⪬⫖↰⪸4054=⫖↰⪸86A","layer":2},{"info":"∓⪦⫖↰⪸86A=⫖↰⪸58A","layer":1},{"info":"⫖↰⪸-42⫡⨏⫖↰⪸58A=⫖↰⪸1321","layer":0}]}
{"id":378,"expression_no_base_symbol":"(⨮↦↱(⇾⩊⇾($1247$⩷∴$4342$)))⪃⊛⇣(⩒∊($3287$⋥≓≎$5902$)⋹⋡⊁($2031$⇴$6229$))","expression":"(⨮↦↱(⇾⩊⇾(⫖↰⪸87B⩷∴⫖↰⪸261A)))⪃⊛⇣(⩒∊(⫖↰⪸1A9B⋥≓≎⫖↰⪸34BA)⋹⋡⊁(⫖↰⪸1213⇴⫖↰⪸3731))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":112216,"operation_count":8,"complexity_ratio":14027.0,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1247,"base":12},"right_expr":{"type":"numeric_atoms","value":4342,"base":12}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3287,"base":12},"right_expr":{"type":"numeric_atoms","value":5902,"base":12}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2031,"base":12},"right_expr":{"type":"numeric_atoms","value":6229,"base":12}}}}},"used_operators":["rrgAzCduG9","sYcpBQ0cFf","bx9Z9DAK5y","9FxExcQeMw","qazvmhNBbN","As8RqfVLgs","Qy55tPpLXF","4JB6nKBMSY"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=4342","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=4342, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6222","layer":3},{"info":"compute unary expreesion, input=-6222, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=49512","layer":2},{"info":"compute unary expreesion, input=49512, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-inf","layer":1},{"info":"number node, value=3287","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=3287, right_input=5902, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8550","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=6229","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=6229, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=24258","layer":3},{"info":"compute binary expreesion, left_input=8550, right_input=24258, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=25008","layer":2},{"info":"compute unary expreesion, input=25008, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=49259","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=49259, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(⨮↦↱(⇾⩊⇾(⫖↰⪸87B⩷∴⫖↰⪸261A)))⪃⊛⇣(⩒∊(⫖↰⪸1A9B⋥≓≎⫖↰⪸34BA)⋹⋡⊁(⫖↰⪸1213⇴⫖↰⪸3731))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(⨮↦↱(⇾⩊⇾(⫖↰⪸87B⩷∴⫖↰⪸261A)))⪃⊛⇣(⩒∊(⫖↰⪸1A9B⋥≓≎⫖↰⪸34BA)⋹⋡⊁(⫖↰⪸1213⇴⫖↰⪸3731))","cot":[{"info":"⫖↰⪸87B⩷∴⫖↰⪸261A=⫖↰⪸-3726","layer":3},{"info":"⇾⩊⇾⫖↰⪸-3726=⫖↰⪸247A0","layer":2},{"info":"⨮↦↱⫖↰⪸247A0=-Inf","layer":1},{"info":"⫖↰⪸1A9B⋥≓≎⫖↰⪸34BA=⫖↰⪸4B46","layer":3},{"info":"⫖↰⪸1213⇴⫖↰⪸3731=⫖↰⪸12056","layer":3},{"info":"⫖↰⪸4B46⋹⋡⊁⫖↰⪸12056=⫖↰⪸12580","layer":2},{"info":"⩒∊⫖↰⪸12580=⫖↰⪸2460B","layer":1},{"info":"-Inf⪃⊛⇣⫖↰⪸2460B=⫖↰⪸86A","layer":0}]}
{"id":379,"expression_no_base_symbol":"((∑⇻≧$3682$)∵≐)⪔⊥($5702$↞⋁$1043$⩨$1326$≁$8262$)≬⋮(($1725$⫲)∛≔)⋥⋵⩄($1700$⨪↰⇹$1121$∠⫱$1027$⪢$2671$)","expression":"((∑⇻≧⫖↰⪸216A)∵≐)⪔⊥(⫖↰⪸3372↞⋁⫖↰⪸72B⩨⫖↰⪸926≁⫖↰⪸4946)≬⋮((⫖↰⪸BB9⫲)∛≔)⋥⋵⩄(⫖↰⪸B98⨪↰⇹⫖↰⪸795∠⫱⫖↰⪸717⪢⫖↰⪸1667)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9601,"operation_count":13,"complexity_ratio":738.5384615384615,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":3682,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5702,"base":12},"right_expr":{"type":"numeric_atoms","value":1043,"base":12}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1326,"base":12},"right_expr":{"type":"numeric_atoms","value":8262,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1725,"base":12}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1700,"base":12},"right_expr":{"type":"numeric_atoms","value":1121,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1027,"base":12},"right_expr":{"type":"numeric_atoms","value":2671,"base":12}}}}},"used_operators":["kbkesczE7y","HJ9erzHUuu","59igzFyhWz","l1M9WJ3V7u","2DlMacCsIx","RqrPlJkxDo","8N2wDY1A35","7t3wd0Fuz7","mGnSCrte3L","9xnGDUPbC6","QvoQhV0rrE","tmPS8pqC7x","dWAJyo7jo9"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rJVOvQCfKK","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3682","layer":4},{"info":"compute unary expreesion, input=3682, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute unary expreesion, input=-852, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=402","layer":2},{"info":"number node, value=5702","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=5702, right_input=1043, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1326","layer":4},{"info":"number node, value=8262","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=8262, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=185087","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=185087, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=402, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=1725","layer":4},{"info":"compute unary expreesion, input=1725, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1452","layer":3},{"info":"compute unary expreesion, input=1452, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-103324109","layer":2},{"info":"number node, value=1700","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=1121, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1700","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2671, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1700, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-103324109, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∑⇻≧⫖↰⪸216A)∵≐)⪔⊥(⫖↰⪸3372↞⋁⫖↰⪸72B⩨⫖↰⪸926≁⫖↰⪸4946)≬⋮((⫖↰⪸BB9⫲)∛≔)⋥⋵⩄(⫖↰⪸B98⨪↰⇹⫖↰⪸795∠⫱⫖↰⪸717⪢⫖↰⪸1667)=NaN","reverse_text":"NaN=((∑⇻≧⫖↰⪸216A)∵≐)⪔⊥(⫖↰⪸3372↞⋁⫖↰⪸72B⩨⫖↰⪸926≁⫖↰⪸4946)≬⋮((⫖↰⪸BB9⫲)∛≔)⋥⋵⩄(⫖↰⪸B98⨪↰⇹⫖↰⪸795∠⫱⫖↰⪸717⪢⫖↰⪸1667)","cot":[{"info":"∑⇻≧⫖↰⪸216A=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸-5B0∵≐=⫖↰⪸296","layer":2},{"info":"⫖↰⪸3372↞⋁⫖↰⪸72B=NaN","layer":3},{"info":"⫖↰⪸926≁⫖↰⪸4946=⫖↰⪸8B13B","layer":3},{"info":"NaN⩨⫖↰⪸8B13B=NaN","layer":2},{"info":"⫖↰⪸296⪔⊥NaN=NaN","layer":1},{"info":"⫖↰⪸BB9⫲=⫖↰⪸A10","layer":3},{"info":"⫖↰⪸A10∛≔=⫖↰⪸-2A72A065","layer":2},{"info":"⫖↰⪸B98⨪↰⇹⫖↰⪸795=⫖↰⪸B98","layer":3},{"info":"⫖↰⪸717⪢⫖↰⪸1667=NaN","layer":3},{"info":"⫖↰⪸B98∠⫱NaN=NaN","layer":2},{"info":"⫖↰⪸-2A72A065⋥⋵⩄NaN=NaN","layer":1},{"info":"NaN≬⋮NaN=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"((($1092$⊚⫡⫭)⨚(⊬↢$4835$))⪣⫩)⪓⨏","expression":"(((⫖↰⪸770⊚⫡⫭)⨚(⊬↢⫖↰⪸296B))⪣⫩)⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6002,"operation_count":5,"complexity_ratio":1200.4,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1092,"base":12}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4835,"base":12}}}}},"used_operators":["4X9JU4Jbn6","iuk5sVOGFA","nREPSIbpBE","SpZWOsLKZJ","WPoGxAaPR1"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1258","layer":3},{"info":"number node, value=4835","layer":4},{"info":"compute unary expreesion, input=4835, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=-1258, right_input=218, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2454","layer":2},{"info":"compute unary expreesion, input=-2454, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"compute unary expreesion, input=913, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸770⊚⫡⫭)⨚(⊬↢⫖↰⪸296B))⪣⫩)⪓⨏=NaN","reverse_text":"NaN=(((⫖↰⪸770⊚⫡⫭)⨚(⊬↢⫖↰⪸296B))⪣⫩)⪓⨏","cot":[{"info":"⫖↰⪸770⊚⫡⫭=⫖↰⪸-88A","layer":3},{"info":"⊬↢⫖↰⪸296B=⫖↰⪸162","layer":3},{"info":"⫖↰⪸-88A⨚⫖↰⪸162=⫖↰⪸-1506","layer":2},{"info":"⫖↰⪸-1506⪣⫩=⫖↰⪸641","layer":1},{"info":"⫖↰⪸641⪓⨏=NaN","layer":0}]}
{"id":381,"expression_no_base_symbol":"(∑⇻≧(⪫⨮⊛($5493$↞⋁$2703$)))⪗","expression":"(∑⇻≧(⪫⨮⊛(⫖↰⪸3219↞⋁⫖↰⪸1693)))⪗","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16205,"operation_count":4,"complexity_ratio":4051.25,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5493,"base":12},"right_expr":{"type":"numeric_atoms","value":2703,"base":12}}}}},"used_operators":["VEQNXA0ZBg","l1M9WJ3V7u","w5FWba1tyO","RqrPlJkxDo"],"dependent_operators":["dWAJyo7jo9","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5493","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=5493, right_input=2703, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute unary expreesion, input=-852, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∑⇻≧(⪫⨮⊛(⫖↰⪸3219↞⋁⫖↰⪸1693)))⪗=NaN","reverse_text":"NaN=(∑⇻≧(⪫⨮⊛(⫖↰⪸3219↞⋁⫖↰⪸1693)))⪗","cot":[{"info":"⫖↰⪸3219↞⋁⫖↰⪸1693=NaN","layer":3},{"info":"⪫⨮⊛NaN=NaN","layer":2},{"info":"∑⇻≧NaN=⫖↰⪸-5B0","layer":1},{"info":"⫖↰⪸-5B0⪗=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"($8076$⇌⫙⪟$1831$∖($2024$⩟))⪃⊛⇣($2194$⩚⊴⇥$4417$⪒(⨦⪝$3018$))≧⫂∧($4316$↞⋁$5919$⩒⫫($1937$⊋≦⊧$2047$))∇⊂⋱($2974$⪕$2847$)↳∿⪆($3818$≠≀$5561$)","expression":"(⫖↰⪸4810⇌⫙⪟⫖↰⪸1087∖(⫖↰⪸1208⩟))⪃⊛⇣(⫖↰⪸132A⩚⊴⇥⫖↰⪸2681⪒(⨦⪝⫖↰⪸18B6))≧⫂∧(⫖↰⪸25B8↞⋁⫖↰⪸3513⩒⫫(⫖↰⪸1155⊋≦⊧⫖↰⪸1227))∇⊂⋱(⫖↰⪸187A⪕⫖↰⪸1793)↳∿⪆(⫖↰⪸2262≠≀⫖↰⪸3275)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16933,"operation_count":15,"complexity_ratio":1128.8666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":8076,"base":12},"right_expr":{"type":"numeric_atoms","value":1831,"base":12}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":2024,"base":12}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2194,"base":12},"right_expr":{"type":"numeric_atoms","value":4417,"base":12}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3018,"base":12}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4316,"base":12},"right_expr":{"type":"numeric_atoms","value":5919,"base":12}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1937,"base":12},"right_expr":{"type":"numeric_atoms","value":2047,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2974,"base":12},"right_expr":{"type":"numeric_atoms","value":2847,"base":12}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3818,"base":12},"right_expr":{"type":"numeric_atoms","value":5561,"base":12}}}}},"used_operators":["Ph9nP6C5qx","rrgAzCduG9","tXD093vOjl","AFVx7xoS7T","fOIeswaMU4","f6k1SAg4EE","NTOWxs364D","SUjycxNXIR","nhYeJWJD5X","KFSx94NKJn","RqrPlJkxDo","oRDoc9rAEX","Cw4SuJJGHO","umQnsF7QlU","IwW236VD4Y"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8076","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=8076, right_input=1831, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-16989","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-16989, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=6","layer":2},{"info":"number node, value=2194","layer":4},{"info":"number node, value=4417","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=4417, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6732","layer":3},{"info":"number node, value=3018","layer":4},{"info":"compute unary expreesion, input=3018, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=-6732, right_input=-1884, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8616","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=8616, 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=4316","layer":4},{"info":"number node, value=5919","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=5919, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=2047, 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=-3744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3744, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=2974","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=2847, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4002","layer":3},{"info":"number node, value=3818","layer":4},{"info":"number node, value=5561","layer":4},{"info":"compute binary expreesion, left_input=3818, right_input=5561, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7330","layer":3},{"info":"compute binary expreesion, left_input=4002, right_input=-7330, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸4810⇌⫙⪟⫖↰⪸1087∖(⫖↰⪸1208⩟))⪃⊛⇣(⫖↰⪸132A⩚⊴⇥⫖↰⪸2681⪒(⨦⪝⫖↰⪸18B6))≧⫂∧(⫖↰⪸25B8↞⋁⫖↰⪸3513⩒⫫(⫖↰⪸1155⊋≦⊧⫖↰⪸1227))∇⊂⋱(⫖↰⪸187A⪕⫖↰⪸1793)↳∿⪆(⫖↰⪸2262≠≀⫖↰⪸3275)=NaN","reverse_text":"NaN=(⫖↰⪸4810⇌⫙⪟⫖↰⪸1087∖(⫖↰⪸1208⩟))⪃⊛⇣(⫖↰⪸132A⩚⊴⇥⫖↰⪸2681⪒(⨦⪝⫖↰⪸18B6))≧⫂∧(⫖↰⪸25B8↞⋁⫖↰⪸3513⩒⫫(⫖↰⪸1155⊋≦⊧⫖↰⪸1227))∇⊂⋱(⫖↰⪸187A⪕⫖↰⪸1793)↳∿⪆(⫖↰⪸2262≠≀⫖↰⪸3275)","cot":[{"info":"⫖↰⪸4810⇌⫙⪟⫖↰⪸1087=⫖↰⪸95","layer":3},{"info":"⫖↰⪸1208⩟=⫖↰⪸-99B9","layer":3},{"info":"⫖↰⪸95∖⫖↰⪸-99B9=⫖↰⪸6","layer":2},{"info":"⫖↰⪸132A⩚⊴⇥⫖↰⪸2681=⫖↰⪸-3A90","layer":3},{"info":"⨦⪝⫖↰⪸18B6=⫖↰⪸-1110","layer":3},{"info":"⫖↰⪸-3A90⪒⫖↰⪸-1110=⫖↰⪸4BA0","layer":2},{"info":"⫖↰⪸6⪃⊛⇣⫖↰⪸4BA0=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸25B8↞⋁⫖↰⪸3513=NaN","layer":3},{"info":"⫖↰⪸1155⊋≦⊧⫖↰⪸1227=⫖↰⪸-2200","layer":3},{"info":"NaN⩒⫫⫖↰⪸-2200=NaN","layer":2},{"info":"⫖↰⪸187A⪕⫖↰⪸1793=⫖↰⪸2396","layer":3},{"info":"⫖↰⪸2262≠≀⫖↰⪸3275=⫖↰⪸-42AA","layer":3},{"info":"⫖↰⪸2396↳∿⪆⫖↰⪸-42AA=NaN","layer":2},{"info":"NaN∇⊂⋱NaN=NaN","layer":1},{"info":"⫖↰⪸86A≧⫂∧NaN=NaN","layer":0}]}
{"id":383,"expression_no_base_symbol":"((⊊≼∋$3220$)∕⩚(⇉-⫰$4969$))↳≱(($5110$⫳≱↱$6469$)⪉⨛$1577$∼$2242$)⩵∡(($2562$⇷$7122$)≠≀$1469$⊋$6345$↸(∤↝$3126$)⪥($1296$⩘$6262$))","expression":"((⊊≼∋⫖↰⪸1A44)∕⩚(⇉-⫰⫖↰⪸2A61))↳≱((⫖↰⪸2B5A⫳≱↱⫖↰⪸38B1)⪉⨛⫖↰⪸AB5∼⫖↰⪸136A)⩵∡((⫖↰⪸1596⇷⫖↰⪸4156)≠≀⫖↰⪸A25⊋⫖↰⪸3809↸(∤↝⫖↰⪸1986)⪥(⫖↰⪸900⩘⫖↰⪸375A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49643,"operation_count":15,"complexity_ratio":3309.5333333333333,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3220,"base":12}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":4969,"base":12}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5110,"base":12},"right_expr":{"type":"numeric_atoms","value":6469,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1577,"base":12},"right_expr":{"type":"numeric_atoms","value":2242,"base":12}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2562,"base":12},"right_expr":{"type":"numeric_atoms","value":7122,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1469,"base":12},"right_expr":{"type":"numeric_atoms","value":6345,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3126,"base":12}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1296,"base":12},"right_expr":{"type":"numeric_atoms","value":6262,"base":12}}}}},"used_operators":["Y7wcNGrDQJ","JwTKLfZU96","z9ffQ9n5Zr","FWz7pXsQhA","IGFM8TAlm9","EWw2JM7wp4","ZvLB05nZmT","DyGG3AbaNP","1eCjFl0mb9","IwW236VD4Y","mp7IySMOzn","W4tP9CfskL","QbnwKVWMIQ","3UMq87Qwqg","cHh1gJQ2o6"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","B5M0gjZbta","jCPkEVoL5K","eH2TOUuTDT","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⫖↰⪸69217992","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3220","layer":4},{"info":"compute unary expreesion, input=3220, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=4969","layer":4},{"info":"compute unary expreesion, input=4969, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=20, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=5110","layer":4},{"info":"number node, value=6469","layer":4},{"info":"compute binary expreesion, left_input=5110, right_input=6469, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1577","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=2242, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=2562","layer":4},{"info":"number node, value=7122","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=7122, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14244","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=6345","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=6345, 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=-242411092","layer":3},{"info":"compute binary expreesion, left_input=14244, right_input=-242411092, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=242396727","layer":2},{"info":"number node, value=3126","layer":4},{"info":"compute unary expreesion, input=3126, 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=3126","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=6262","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=6262, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3126, right_input=160, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-226","layer":2},{"info":"compute binary expreesion, left_input=242396727, right_input=-226, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=242396727","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=242396727, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=242396606","layer":0}],"base":12,"result_base":12,"text":"((⊊≼∋⫖↰⪸1A44)∕⩚(⇉-⫰⫖↰⪸2A61))↳≱((⫖↰⪸2B5A⫳≱↱⫖↰⪸38B1)⪉⨛⫖↰⪸AB5∼⫖↰⪸136A)⩵∡((⫖↰⪸1596⇷⫖↰⪸4156)≠≀⫖↰⪸A25⊋⫖↰⪸3809↸(∤↝⫖↰⪸1986)⪥(⫖↰⪸900⩘⫖↰⪸375A))=⫖↰⪸69217992","reverse_text":"⫖↰⪸69217992=((⊊≼∋⫖↰⪸1A44)∕⩚(⇉-⫰⫖↰⪸2A61))↳≱((⫖↰⪸2B5A⫳≱↱⫖↰⪸38B1)⪉⨛⫖↰⪸AB5∼⫖↰⪸136A)⩵∡((⫖↰⪸1596⇷⫖↰⪸4156)≠≀⫖↰⪸A25⊋⫖↰⪸3809↸(∤↝⫖↰⪸1986)⪥(⫖↰⪸900⩘⫖↰⪸375A))","cot":[{"info":"⊊≼∋⫖↰⪸1A44=⫖↰⪸-313","layer":3},{"info":"⇉-⫰⫖↰⪸2A61=⫖↰⪸18","layer":3},{"info":"⫖↰⪸-313∕⩚⫖↰⪸18=⫖↰⪸-347","layer":2},{"info":"⫖↰⪸2B5A⫳≱↱⫖↰⪸38B1=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸AB5∼⫖↰⪸136A=NaN","layer":3},{"info":"⫖↰⪸-150⪉⨛NaN=NaN","layer":2},{"info":"⫖↰⪸-347↳≱NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1596⇷⫖↰⪸4156=⫖↰⪸82B0","layer":3},{"info":"⫖↰⪸A25⊋⫖↰⪸3809=⫖↰⪸-69224244","layer":3},{"info":"⫖↰⪸82B0≠≀⫖↰⪸-69224244=⫖↰⪸69217A73","layer":2},{"info":"∤↝⫖↰⪸1986=⫖↰⪸1986","layer":3},{"info":"⫖↰⪸900⩘⫖↰⪸375A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1986⪥⫖↰⪸114=⫖↰⪸-16A","layer":2},{"info":"⫖↰⪸69217A73↸⫖↰⪸-16A=⫖↰⪸69217A73","layer":1},{"info":"⫖↰⪸0⩵∡⫖↰⪸69217A73=⫖↰⪸69217992","layer":0}]}
{"id":384,"expression_no_base_symbol":"($1345$∌↝$1651$⇷$2655$∥⊢⊲$2896$⨰(≑⋹($3822$⋥⋵⩄$4987$)))⨓(($2921$⇉⇉)↸$1572$⊮⊟↴$3736$)⫣⪄⊒($4767$⩍⋽⫝̸$1349$⪮%⊝$4679$∥⊢⊲$2462$)","expression":"(⫖↰⪸941∌↝⫖↰⪸B57⇷⫖↰⪸1653∥⊢⊲⫖↰⪸1814⨰(≑⋹(⫖↰⪸2266⋥⋵⩄⫖↰⪸2A77)))⨓((⫖↰⪸1835⇉⇉)↸⫖↰⪸AB0⊮⊟↴⫖↰⪸21B4)⫣⪄⊒(⫖↰⪸2913⩍⋽⫝̸⫖↰⪸945⪮%⊝⫖↰⪸285B∥⊢⊲⫖↰⪸1512)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":819,"operation_count":14,"complexity_ratio":58.5,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1345,"base":12},"right_expr":{"type":"numeric_atoms","value":1651,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2655,"base":12},"right_expr":{"type":"numeric_atoms","value":2896,"base":12}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3822,"base":12},"right_expr":{"type":"numeric_atoms","value":4987,"base":12}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2921,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1572,"base":12},"right_expr":{"type":"numeric_atoms","value":3736,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4767,"base":12},"right_expr":{"type":"numeric_atoms","value":1349,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":4679,"base":12},"right_expr":{"type":"numeric_atoms","value":2462,"base":12}}}}},"used_operators":["3ViojmjbAp","eewbuw0ToL","mp7IySMOzn","9Isq31Ruls","v1UQAVDJRr","6B9nyZLogK","7t3wd0Fuz7","RabNbG55vr","1eCjFl0mb9","diKm42VcIt","QDVgd2eftb","IWmyXbctLI","BiWNJpBvwn"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⫖↰⪸-117","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1651, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2655","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=2896, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=3822","layer":4},{"info":"number node, value=4987","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=4987, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-766, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2921","layer":4},{"info":"compute unary expreesion, input=2921, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-183884","layer":3},{"info":"number node, value=1572","layer":4},{"info":"number node, value=3736","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=3736, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-183884, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-183884","layer":2},{"info":"number node, value=4767","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=4767, right_input=1349, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=403","layer":3},{"info":"number node, value=4679","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=4679, right_input=2462, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=403, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-183884, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸941∌↝⫖↰⪸B57⇷⫖↰⪸1653∥⊢⊲⫖↰⪸1814⨰(≑⋹(⫖↰⪸2266⋥⋵⩄⫖↰⪸2A77)))⨓((⫖↰⪸1835⇉⇉)↸⫖↰⪸AB0⊮⊟↴⫖↰⪸21B4)⫣⪄⊒(⫖↰⪸2913⩍⋽⫝̸⫖↰⪸945⪮%⊝⫖↰⪸285B∥⊢⊲⫖↰⪸1512)=⫖↰⪸-117","reverse_text":"⫖↰⪸-117=(⫖↰⪸941∌↝⫖↰⪸B57⇷⫖↰⪸1653∥⊢⊲⫖↰⪸1814⨰(≑⋹(⫖↰⪸2266⋥⋵⩄⫖↰⪸2A77)))⨓((⫖↰⪸1835⇉⇉)↸⫖↰⪸AB0⊮⊟↴⫖↰⪸21B4)⫣⪄⊒(⫖↰⪸2913⩍⋽⫝̸⫖↰⪸945⪮%⊝⫖↰⪸285B∥⊢⊲⫖↰⪸1512)","cot":[{"info":"⫖↰⪸941∌↝⫖↰⪸B57=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1653∥⊢⊲⫖↰⪸1814=NaN","layer":3},{"info":"⫖↰⪸0⇷NaN=NaN","layer":2},{"info":"⫖↰⪸2266⋥⋵⩄⫖↰⪸2A77=⫖↰⪸95","layer":3},{"info":"≑⋹⫖↰⪸95=⫖↰⪸-53A","layer":2},{"info":"NaN⨰⫖↰⪸-53A=NaN","layer":1},{"info":"⫖↰⪸1835⇉⇉=⫖↰⪸-8A4B8","layer":3},{"info":"⫖↰⪸AB0⊮⊟↴⫖↰⪸21B4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-8A4B8↸⫖↰⪸0=⫖↰⪸-8A4B8","layer":2},{"info":"⫖↰⪸2913⩍⋽⫝̸⫖↰⪸945=⫖↰⪸297","layer":3},{"info":"⫖↰⪸285B∥⊢⊲⫖↰⪸1512=NaN","layer":3},{"info":"⫖↰⪸297⪮%⊝NaN=NaN","layer":2},{"info":"⫖↰⪸-8A4B8⫣⪄⊒NaN=⫖↰⪸114","layer":1},{"info":"NaN⨓⫖↰⪸114=⫖↰⪸-117","layer":0}]}
{"id":385,"expression_no_base_symbol":"((⊲⪭($2429$⋾⨃∁$1353$))⇄(($7036$⋭≵$2478$)⫸⇳($2382$⪒$2516$)))⫯⪬∳((≔(≻⋜$2668$))⋥≓≎($1614$⩷∴$2496$)⨫⇇↔$4914$⩁⩘$6271$)","expression":"((⊲⪭(⫖↰⪸14A5⋾⨃∁⫖↰⪸949))⇄((⫖↰⪸40A4⋭≵⫖↰⪸1526)⫸⇳(⫖↰⪸1466⪒⫖↰⪸1558)))⫯⪬∳((≔(≻⋜⫖↰⪸1664))⋥≓≎(⫖↰⪸B26⩷∴⫖↰⪸1540)⨫⇇↔⫖↰⪸2A16⩁⩘⫖↰⪸3767)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18810,"operation_count":13,"complexity_ratio":1446.923076923077,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2429,"base":12},"right_expr":{"type":"numeric_atoms","value":1353,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":7036,"base":12},"right_expr":{"type":"numeric_atoms","value":2478,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2382,"base":12},"right_expr":{"type":"numeric_atoms","value":2516,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2668,"base":12}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1614,"base":12},"right_expr":{"type":"numeric_atoms","value":2496,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4914,"base":12},"right_expr":{"type":"numeric_atoms","value":6271,"base":12}}}}},"used_operators":["d7ASUq0ydm","3EYGwJThht","k7HXdKtiEU","212REbPD9h","gx7XJ7hdpj","jBncVCNhdl","f6k1SAg4EE","Qy55tPpLXF","8FLs4eVsLt","3tj9sqzovi","LXhwmt4mBO","9FxExcQeMw","gub5Cegaqo"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","i8ToyICDmI","xUOZtlo3hN","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI"],"result":"⫖↰⪸146A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2429","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=2429, right_input=1353, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=18289760","layer":3},{"info":"compute unary expreesion, input=18289760, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-18289934","layer":2},{"info":"number node, value=7036","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=7036, right_input=2478, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2382","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=2516, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4898","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-4898, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-18289934, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":1},{"info":"number node, value=2668","layer":4},{"info":"compute unary expreesion, input=2668, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":2},{"info":"number node, value=1614","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=2496, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1796","layer":3},{"info":"number node, value=4914","layer":4},{"info":"number node, value=6271","layer":4},{"info":"compute binary expreesion, left_input=4914, right_input=6271, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=26032","layer":3},{"info":"compute binary expreesion, left_input=-1796, right_input=26032, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=484, right_input=67, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2386","layer":0}],"base":12,"result_base":12,"text":"((⊲⪭(⫖↰⪸14A5⋾⨃∁⫖↰⪸949))⇄((⫖↰⪸40A4⋭≵⫖↰⪸1526)⫸⇳(⫖↰⪸1466⪒⫖↰⪸1558)))⫯⪬∳((≔(≻⋜⫖↰⪸1664))⋥≓≎(⫖↰⪸B26⩷∴⫖↰⪸1540)⨫⇇↔⫖↰⪸2A16⩁⩘⫖↰⪸3767)=⫖↰⪸146A","reverse_text":"⫖↰⪸146A=((⊲⪭(⫖↰⪸14A5⋾⨃∁⫖↰⪸949))⇄((⫖↰⪸40A4⋭≵⫖↰⪸1526)⫸⇳(⫖↰⪸1466⪒⫖↰⪸1558)))⫯⪬∳((≔(≻⋜⫖↰⪸1664))⋥≓≎(⫖↰⪸B26⩷∴⫖↰⪸1540)⨫⇇↔⫖↰⪸2A16⩁⩘⫖↰⪸3767)","cot":[{"info":"⫖↰⪸14A5⋾⨃∁⫖↰⪸949=⫖↰⪸6160428","layer":3},{"info":"⊲⪭⫖↰⪸6160428=⫖↰⪸-6160552","layer":2},{"info":"⫖↰⪸40A4⋭≵⫖↰⪸1526=⫖↰⪸57","layer":3},{"info":"⫖↰⪸1466⪒⫖↰⪸1558=⫖↰⪸-2A02","layer":3},{"info":"⫖↰⪸57⫸⇳⫖↰⪸-2A02=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-6160552⇄⫖↰⪸0=⫖↰⪸344","layer":1},{"info":"≻⋜⫖↰⪸1664=NaN","layer":3},{"info":"≔NaN=NaN","layer":2},{"info":"⫖↰⪸B26⩷∴⫖↰⪸1540=⫖↰⪸-1058","layer":3},{"info":"⫖↰⪸2A16⩁⩘⫖↰⪸3767=⫖↰⪸13094","layer":3},{"info":"⫖↰⪸-1058⨫⇇↔⫖↰⪸13094=⫖↰⪸-37B","layer":2},{"info":"NaN⋥≓≎⫖↰⪸-37B=⫖↰⪸57","layer":1},{"info":"⫖↰⪸344⫯⪬∳⫖↰⪸57=⫖↰⪸146A","layer":0}]}
{"id":386,"expression_no_base_symbol":"(⩩(⫶⊄≣(+⊝⨔$5192$)))⨟⋌⩍((⨮↦↱$3045$)⊢($3622$⪛⫼$2059$)⨭⪣$5476$⪝$1578$≦↸($3707$∥⊢⊲$1000$))","expression":"(⩩(⫶⊄≣(+⊝⨔⫖↰⪸3008)))⨟⋌⩍((⨮↦↱⫖↰⪸1919)⊢(⫖↰⪸211A⪛⫼⫖↰⪸1237)⨭⪣⫖↰⪸3204⪝⫖↰⪸AB6≦↸(⫖↰⪸218B∥⊢⊲⫖↰⪸6B4))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10291,"operation_count":11,"complexity_ratio":935.5454545454545,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5192,"base":12}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3045,"base":12}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3622,"base":12},"right_expr":{"type":"numeric_atoms","value":2059,"base":12}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5476,"base":12},"right_expr":{"type":"numeric_atoms","value":1578,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3707,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}}}}},"used_operators":["rGHVDoGpnC","kMhfGuqI2H","wxb3vTeyAj","DhbWaqg5eL","kn8WO9XteQ","5twsqlHp2o","sYcpBQ0cFf","hyuBjUqXlG","RygbFNSyEJ","wicAB68Tmb","v1UQAVDJRr"],"dependent_operators":["Tcnh7f0tEr","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5192","layer":4},{"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":3},{"info":"compute unary expreesion, input=1522, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=41720797","layer":2},{"info":"compute unary expreesion, input=41720797, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=3045","layer":4},{"info":"compute unary expreesion, input=3045, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-19548747","layer":3},{"info":"number node, value=3622","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=2059, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-19548747, right_input=968, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=39097250","layer":2},{"info":"number node, value=5476","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=5476, right_input=1578, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-15991","layer":3},{"info":"number node, value=3707","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=3707, right_input=1000, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-15991, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=32663","layer":2},{"info":"compute binary expreesion, left_input=39097250, right_input=32663, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=39095971","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=39095971, 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":12,"result_base":12,"text":"(⩩(⫶⊄≣(+⊝⨔⫖↰⪸3008)))⨟⋌⩍((⨮↦↱⫖↰⪸1919)⊢(⫖↰⪸211A⪛⫼⫖↰⪸1237)⨭⪣⫖↰⪸3204⪝⫖↰⪸AB6≦↸(⫖↰⪸218B∥⊢⊲⫖↰⪸6B4))=NaN","reverse_text":"NaN=(⩩(⫶⊄≣(+⊝⨔⫖↰⪸3008)))⨟⋌⩍((⨮↦↱⫖↰⪸1919)⊢(⫖↰⪸211A⪛⫼⫖↰⪸1237)⨭⪣⫖↰⪸3204⪝⫖↰⪸AB6≦↸(⫖↰⪸218B∥⊢⊲⫖↰⪸6B4))","cot":[{"info":"+⊝⨔⫖↰⪸3008=⫖↰⪸A6A","layer":3},{"info":"⫶⊄≣⫖↰⪸A6A=⫖↰⪸11B7BB91","layer":2},{"info":"⩩⫖↰⪸11B7BB91=NaN","layer":1},{"info":"⨮↦↱⫖↰⪸1919=⫖↰⪸-6668B23","layer":3},{"info":"⫖↰⪸211A⪛⫼⫖↰⪸1237=⫖↰⪸688","layer":3},{"info":"⫖↰⪸-6668B23⊢⫖↰⪸688=⫖↰⪸11115882","layer":2},{"info":"⫖↰⪸3204⪝⫖↰⪸AB6=⫖↰⪸-9307","layer":3},{"info":"⫖↰⪸218B∥⊢⊲⫖↰⪸6B4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-9307≦↸⫖↰⪸0=⫖↰⪸16A9B","layer":2},{"info":"⫖↰⪸11115882⨭⪣⫖↰⪸16A9B=⫖↰⪸11114B97","layer":1},{"info":"NaN⨟⋌⩍⫖↰⪸11114B97=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"(⇾⩊⇾($3127$⫰⋱$2507$))⫗⊷⫓(($1076$⩁⩘$2324$)⋩≍≻)∊∟⩊(→⩰$3621$⪥$1144$)∺≝⩲($3534$⨥⫆$2937$⪔($1711$⫥∨⫟$2806$))","expression":"(⇾⩊⇾(⫖↰⪸1987⫰⋱⫖↰⪸154B))⫗⊷⫓((⫖↰⪸758⩁⩘⫖↰⪸1418)⋩≍≻)∊∟⩊(→⩰⫖↰⪸2119⪥⫖↰⪸7B4)∺≝⩲(⫖↰⪸2066⨥⫆⫖↰⪸1849⪔(⫖↰⪸BA7⫥∨⫟⫖↰⪸175A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63121,"operation_count":12,"complexity_ratio":5260.083333333333,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3127,"base":12},"right_expr":{"type":"numeric_atoms","value":2507,"base":12}}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1076,"base":12},"right_expr":{"type":"numeric_atoms","value":2324,"base":12}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3621,"base":12},"right_expr":{"type":"numeric_atoms","value":1144,"base":12}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3534,"base":12},"right_expr":{"type":"numeric_atoms","value":2937,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1711,"base":12},"right_expr":{"type":"numeric_atoms","value":2806,"base":12}}}}},"used_operators":["ddLRYrp01A","zashukvMKz","bx9Z9DAK5y","6o9Blt3TJ6","WYd1w68Nbz","gub5Cegaqo","KPf6cnQVty","o8Pngz0Tml","QbnwKVWMIQ","GjBEYRfMaF","yXekIHxTD4","KYD54nUTWz"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","DpFCA1CohY","IWmyXbctLI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫖↰⪸17","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3127","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=2507, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3094","layer":3},{"info":"compute unary expreesion, input=-3094, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=21360","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2324, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10244","layer":3},{"info":"compute unary expreesion, input=10244, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=21360, right_input=-55, 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=3621","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=1144, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19136","layer":3},{"info":"compute unary expreesion, input=19136, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=3534","layer":4},{"info":"number node, value=2937","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=2937, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5750","layer":3},{"info":"number node, value=1711","layer":4},{"info":"number node, value=2806","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=2806, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5750, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=19","layer":0}],"base":12,"result_base":12,"text":"(⇾⩊⇾(⫖↰⪸1987⫰⋱⫖↰⪸154B))⫗⊷⫓((⫖↰⪸758⩁⩘⫖↰⪸1418)⋩≍≻)∊∟⩊(→⩰⫖↰⪸2119⪥⫖↰⪸7B4)∺≝⩲(⫖↰⪸2066⨥⫆⫖↰⪸1849⪔(⫖↰⪸BA7⫥∨⫟⫖↰⪸175A))=⫖↰⪸17","reverse_text":"⫖↰⪸17=(⇾⩊⇾(⫖↰⪸1987⫰⋱⫖↰⪸154B))⫗⊷⫓((⫖↰⪸758⩁⩘⫖↰⪸1418)⋩≍≻)∊∟⩊(→⩰⫖↰⪸2119⪥⫖↰⪸7B4)∺≝⩲(⫖↰⪸2066⨥⫆⫖↰⪸1849⪔(⫖↰⪸BA7⫥∨⫟⫖↰⪸175A))","cot":[{"info":"⫖↰⪸1987⫰⋱⫖↰⪸154B=⫖↰⪸-195A","layer":3},{"info":"⇾⩊⇾⫖↰⪸-195A=⫖↰⪸10440","layer":2},{"info":"⫖↰⪸758⩁⩘⫖↰⪸1418=⫖↰⪸5B18","layer":3},{"info":"⫖↰⪸5B18⋩≍≻=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸10440⫗⊷⫓⫖↰⪸-47=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸2119⪥⫖↰⪸7B4=⫖↰⪸B0A8","layer":3},{"info":"→⩰⫖↰⪸B0A8=NaN","layer":2},{"info":"⫖↰⪸2066⨥⫆⫖↰⪸1849=⫖↰⪸33B2","layer":3},{"info":"⫖↰⪸BA7⫥∨⫟⫖↰⪸175A=NaN","layer":3},{"info":"⫖↰⪸33B2⪔NaN=NaN","layer":2},{"info":"NaN∺≝⩲NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-B2∊∟⩊⫖↰⪸114=⫖↰⪸17","layer":0}]}
{"id":388,"expression_no_base_symbol":"($1849$≨$3895$⫲≸⪮$1159$↳∿⪆$3318$⩚⊴⇥(($5284$⨒$2399$)⨽(≑⋹$2576$)))⨪↰⇹(↨($3535$⪐)∳⫺($4633$≳⇉$2432$))","expression":"(⫖↰⪸10A1≨⫖↰⪸2307⫲≸⪮⫖↰⪸807↳∿⪆⫖↰⪸1B06⩚⊴⇥((⫖↰⪸3084⨒⫖↰⪸147B)⨽(≑⋹⫖↰⪸15A8)))⨪↰⇹(↨(⫖↰⪸2067⪐)∳⫺(⫖↰⪸2821≳⇉⫖↰⪸14A8))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":65789658,"operation_count":12,"complexity_ratio":5482471.5,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1849,"base":12},"right_expr":{"type":"numeric_atoms","value":3895,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1159,"base":12},"right_expr":{"type":"numeric_atoms","value":3318,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5284,"base":12},"right_expr":{"type":"numeric_atoms","value":2399,"base":12}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2576,"base":12}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3535,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4633,"base":12},"right_expr":{"type":"numeric_atoms","value":2432,"base":12}}}}},"used_operators":["tmPS8pqC7x","NTOWxs364D","P3lXMJvFrc","0KMCeP1Jsh","Cw4SuJJGHO","8HhzD0ZcuI","y75s1iXyHd","6B9nyZLogK","jiX4gk2v2Q","AzXXKTstlj","eH2TOUuTDT","V0kx6qeWkN"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rGHVDoGpnC","oZj3VtZNQx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1849","layer":4},{"info":"number node, value=3895","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=3895, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-16014","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=3318, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16014, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-16014","layer":2},{"info":"number node, value=5284","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=2399, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-31332","layer":3},{"info":"number node, value=2576","layer":4},{"info":"compute unary expreesion, input=2576, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-31332, right_input=1650, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-16014, right_input=-inf, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=inf","layer":1},{"info":"number node, value=3535","layer":4},{"info":"compute unary expreesion, input=3535, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7070","layer":3},{"info":"number node, value=4633","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=4633, right_input=2432, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7070, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸10A1≨⫖↰⪸2307⫲≸⪮⫖↰⪸807↳∿⪆⫖↰⪸1B06⩚⊴⇥((⫖↰⪸3084⨒⫖↰⪸147B)⨽(≑⋹⫖↰⪸15A8)))⨪↰⇹(↨(⫖↰⪸2067⪐)∳⫺(⫖↰⪸2821≳⇉⫖↰⪸14A8))=NaN","reverse_text":"NaN=(⫖↰⪸10A1≨⫖↰⪸2307⫲≸⪮⫖↰⪸807↳∿⪆⫖↰⪸1B06⩚⊴⇥((⫖↰⪸3084⨒⫖↰⪸147B)⨽(≑⋹⫖↰⪸15A8)))⨪↰⇹(↨(⫖↰⪸2067⪐)∳⫺(⫖↰⪸2821≳⇉⫖↰⪸14A8))","cot":[{"info":"⫖↰⪸10A1≨⫖↰⪸2307=⫖↰⪸-9326","layer":3},{"info":"⫖↰⪸807↳∿⪆⫖↰⪸1B06=NaN","layer":3},{"info":"⫖↰⪸-9326⫲≸⪮NaN=⫖↰⪸-9326","layer":2},{"info":"⫖↰⪸3084⨒⫖↰⪸147B=⫖↰⪸-16170","layer":3},{"info":"≑⋹⫖↰⪸15A8=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸-16170⨽⫖↰⪸B56=-Inf","layer":2},{"info":"⫖↰⪸-9326⩚⊴⇥-Inf=Inf","layer":1},{"info":"⫖↰⪸2067⪐=⫖↰⪸4112","layer":3},{"info":"⫖↰⪸2821≳⇉⫖↰⪸14A8=NaN","layer":3},{"info":"⫖↰⪸4112∳⫺NaN=⫖↰⪸-198","layer":2},{"info":"↨⫖↰⪸-198=⫖↰⪸0","layer":1},{"info":"Inf⨪↰⇹⫖↰⪸0=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"(($3069$⩷∴$4160$)⨽∌(⇾⩊⇾$3427$)⪁$5463$∠↢$1238$⊭↱$6621$⫒⫫$4473$)⩣⫁∢(($1174$⫣⪄⊒$3408$⇴(↞≼$6773$))+⪬∐(($6247$⋝⋈⪟$3001$)⪚($1112$⋛$1203$)))","expression":"((⫖↰⪸1939⩷∴⫖↰⪸24A8)⨽∌(⇾⩊⇾⫖↰⪸1B97)⪁⫖↰⪸31B3∠↢⫖↰⪸872⊭↱⫖↰⪸39B9⫒⫫⫖↰⪸2709)⩣⫁∢((⫖↰⪸81A⫣⪄⊒⫖↰⪸1B80⇴(↞≼⫖↰⪸3B05))+⪬∐((⫖↰⪸3747⋝⋈⪟⫖↰⪸18A1)⪚(⫖↰⪸788⋛⫖↰⪸843)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":763,"operation_count":15,"complexity_ratio":50.86666666666667,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3069,"base":12},"right_expr":{"type":"numeric_atoms","value":4160,"base":12}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3427,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5463,"base":12},"right_expr":{"type":"numeric_atoms","value":1238,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6621,"base":12},"right_expr":{"type":"numeric_atoms","value":4473,"base":12}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1174,"base":12},"right_expr":{"type":"numeric_atoms","value":3408,"base":12}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":6773,"base":12}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6247,"base":12},"right_expr":{"type":"numeric_atoms","value":3001,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1112,"base":12},"right_expr":{"type":"numeric_atoms","value":1203,"base":12}}}}},"used_operators":["JDUIKTTSIa","I7sXao9hZE","9samAPKr6k","9FxExcQeMw","bx9Z9DAK5y","COABgblf1C","KbjG8mgYpV","6Ko8hGgeMq","2GS7woTJqF","4JB6nKBMSY","RabNbG55vr","DE7zCoGJt9","HrjLwUk87U","2DDjHMKMc0","YbUVn0Rbpy"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","g55IO6H4Gj","D4vGDi5EA2","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⫖↰⪸115","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3069","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=3069, right_input=4160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2214","layer":3},{"info":"number node, value=3427","layer":4},{"info":"compute unary expreesion, input=3427, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-37329","layer":3},{"info":"compute binary expreesion, left_input=-2214, right_input=-37329, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=5463","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=5463, right_input=1238, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-38102","layer":3},{"info":"number node, value=6621","layer":4},{"info":"number node, value=4473","layer":4},{"info":"compute binary expreesion, left_input=6621, right_input=4473, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-38102, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":1},{"info":"number node, value=1174","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=3408, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-18612","layer":3},{"info":"number node, value=6773","layer":4},{"info":"compute unary expreesion, input=6773, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=53770","layer":3},{"info":"compute binary expreesion, left_input=-18612, right_input=53770, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-4518","layer":2},{"info":"number node, value=6247","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=6247, right_input=3001, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6247","layer":3},{"info":"number node, value=1112","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=1203, 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=-122184","layer":3},{"info":"compute binary expreesion, left_input=6247, right_input=-122184, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=256506","layer":2},{"info":"compute binary expreesion, left_input=-4518, right_input=256506, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=13554","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=13554, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1939⩷∴⫖↰⪸24A8)⨽∌(⇾⩊⇾⫖↰⪸1B97)⪁⫖↰⪸31B3∠↢⫖↰⪸872⊭↱⫖↰⪸39B9⫒⫫⫖↰⪸2709)⩣⫁∢((⫖↰⪸81A⫣⪄⊒⫖↰⪸1B80⇴(↞≼⫖↰⪸3B05))+⪬∐((⫖↰⪸3747⋝⋈⪟⫖↰⪸18A1)⪚(⫖↰⪸788⋛⫖↰⪸843)))=⫖↰⪸115","reverse_text":"⫖↰⪸115=((⫖↰⪸1939⩷∴⫖↰⪸24A8)⨽∌(⇾⩊⇾⫖↰⪸1B97)⪁⫖↰⪸31B3∠↢⫖↰⪸872⊭↱⫖↰⪸39B9⫒⫫⫖↰⪸2709)⩣⫁∢((⫖↰⪸81A⫣⪄⊒⫖↰⪸1B80⇴(↞≼⫖↰⪸3B05))+⪬∐((⫖↰⪸3747⋝⋈⪟⫖↰⪸18A1)⪚(⫖↰⪸788⋛⫖↰⪸843)))","cot":[{"info":"⫖↰⪸1939⩷∴⫖↰⪸24A8=⫖↰⪸-1346","layer":3},{"info":"⇾⩊⇾⫖↰⪸1B97=⫖↰⪸-19729","layer":3},{"info":"⫖↰⪸-1346⨽∌⫖↰⪸-19729=⫖↰⪸0","layer":2},{"info":"⫖↰⪸31B3∠↢⫖↰⪸872=⫖↰⪸-1A072","layer":3},{"info":"⫖↰⪸39B9⫒⫫⫖↰⪸2709=NaN","layer":3},{"info":"⫖↰⪸-1A072⊭↱NaN=NaN","layer":2},{"info":"⫖↰⪸0⪁NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸81A⫣⪄⊒⫖↰⪸1B80=⫖↰⪸-A930","layer":3},{"info":"↞≼⫖↰⪸3B05=⫖↰⪸2714A","layer":3},{"info":"⫖↰⪸-A930⇴⫖↰⪸2714A=⫖↰⪸-2746","layer":2},{"info":"⫖↰⪸3747⋝⋈⪟⫖↰⪸18A1=⫖↰⪸3747","layer":3},{"info":"⫖↰⪸788⋛⫖↰⪸843=⫖↰⪸-5A860","layer":3},{"info":"⫖↰⪸3747⪚⫖↰⪸-5A860=⫖↰⪸104536","layer":2},{"info":"⫖↰⪸-2746+⪬∐⫖↰⪸104536=⫖↰⪸7A16","layer":1},{"info":"⫖↰⪸0⩣⫁∢⫖↰⪸7A16=⫖↰⪸115","layer":0}]}
{"id":390,"expression_no_base_symbol":"(((⊥$3612$)⪒($1721$∪⫐$8483$))⊭↱($3800$⋕⪉⪜$1403$∷$5433$⇻⋧≁$5017$))⨪↰⇹((($1286$*$1451$)⋭≵($1903$⪁$1360$))≃⋄)","expression":"(((⊥⫖↰⪸2110)⪒(⫖↰⪸BB5∪⫐⫖↰⪸4AAB))⊭↱(⫖↰⪸2248⋕⪉⪜⫖↰⪸98B∷⫖↰⪸3189⇻⋧≁⫖↰⪸2AA1))⨪↰⇹(((⫖↰⪸8B2*⫖↰⪸A0B)⋭≵(⫖↰⪸1127⪁⫖↰⪸954))≃⋄)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1711755,"operation_count":12,"complexity_ratio":142646.25,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3612,"base":12}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1721,"base":12},"right_expr":{"type":"numeric_atoms","value":8483,"base":12}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3800,"base":12},"right_expr":{"type":"numeric_atoms","value":1403,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5433,"base":12},"right_expr":{"type":"numeric_atoms","value":5017,"base":12}}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1286,"base":12},"right_expr":{"type":"numeric_atoms","value":1451,"base":12}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1903,"base":12},"right_expr":{"type":"numeric_atoms","value":1360,"base":12}}}}},"used_operators":["tmPS8pqC7x","COABgblf1C","f6k1SAg4EE","Q3PJZHRvZv","7YooWSwCyH","D3AQDKkPcf","z6LnFrNh4i","jCPkEVoL5K","aN9a90urxU","jBncVCNhdl","9HNa5Wba9A","I7sXao9hZE"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","uFcxV4UQCh","jLgFTUHLKL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3612","layer":4},{"info":"compute unary expreesion, input=3612, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1721","layer":4},{"info":"number node, value=8483","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=8483, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1721","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1721, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3800","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=3800, right_input=1403, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=5433","layer":4},{"info":"number node, value=5017","layer":4},{"info":"compute binary expreesion, left_input=5433, right_input=5017, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-447, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-3596","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3596, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1286","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1451, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1865986","layer":3},{"info":"number node, value=1903","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=1360, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1865986, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=2372","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2372, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":12,"result_base":12,"text":"(((⊥⫖↰⪸2110)⪒(⫖↰⪸BB5∪⫐⫖↰⪸4AAB))⊭↱(⫖↰⪸2248⋕⪉⪜⫖↰⪸98B∷⫖↰⪸3189⇻⋧≁⫖↰⪸2AA1))⨪↰⇹(((⫖↰⪸8B2*⫖↰⪸A0B)⋭≵(⫖↰⪸1127⪁⫖↰⪸954))≃⋄)=NaN","reverse_text":"NaN=(((⊥⫖↰⪸2110)⪒(⫖↰⪸BB5∪⫐⫖↰⪸4AAB))⊭↱(⫖↰⪸2248⋕⪉⪜⫖↰⪸98B∷⫖↰⪸3189⇻⋧≁⫖↰⪸2AA1))⨪↰⇹(((⫖↰⪸8B2*⫖↰⪸A0B)⋭≵(⫖↰⪸1127⪁⫖↰⪸954))≃⋄)","cot":[{"info":"⊥⫖↰⪸2110=NaN","layer":3},{"info":"⫖↰⪸BB5∪⫐⫖↰⪸4AAB=⫖↰⪸BB5","layer":3},{"info":"NaN⪒⫖↰⪸BB5=NaN","layer":2},{"info":"⫖↰⪸2248⋕⪉⪜⫖↰⪸98B=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸3189⇻⋧≁⫖↰⪸2AA1=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1756∷⫖↰⪸-313=⫖↰⪸-20B8","layer":2},{"info":"NaN⊭↱⫖↰⪸-20B8=NaN","layer":1},{"info":"⫖↰⪸8B2*⫖↰⪸A0B=⫖↰⪸75BA2A","layer":3},{"info":"⫖↰⪸1127⪁⫖↰⪸954=NaN","layer":3},{"info":"⫖↰⪸75BA2A⋭≵NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57≃⋄=⫖↰⪸1458","layer":1},{"info":"NaN⨪↰⇹⫖↰⪸1458=NaN","layer":0}]}
{"id":391,"expression_no_base_symbol":"(($1834$⨔≚≋$5873$⩭)≃($3765$∥⊢⊲$2310$⪛⫼($4517$+$2344$)))⨜⨶(((↓⇌$1001$)⨐⩸⫘(⫖→$7795$))∇⊂⋱(⫇(∓$1810$)))","expression":"((⫖↰⪸108A⨔≚≋⫖↰⪸3495⩭)≃(⫖↰⪸2219∥⊢⊲⫖↰⪸1406⪛⫼(⫖↰⪸2745+⫖↰⪸1434)))⨜⨶(((↓⇌⫖↰⪸6B5)⨐⩸⫘(⫖→⫖↰⪸4617))∇⊂⋱(⫇(∓⫖↰⪸106A)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":57943,"operation_count":13,"complexity_ratio":4457.153846153846,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1834,"base":12},"right_expr":{"type":"numeric_atoms","value":5873,"base":12}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3765,"base":12},"right_expr":{"type":"numeric_atoms","value":2310,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4517,"base":12},"right_expr":{"type":"numeric_atoms","value":2344,"base":12}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":7795,"base":12}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1810,"base":12}}}}},"used_operators":["HiPekx5b7W","YbVcJGFEVW","yIPP7u6H5x","Z57zeUYC9z","hyuBjUqXlG","v1UQAVDJRr","W4YGzv6Whe","nhYeJWJD5X","fu6greOZ01","PxpmPgHHJV","U4ylXWHChL","YjI8oCXuph","OwUj7dcsQK"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","EBcxylXtPf","rGHVDoGpnC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","3ViojmjbAp","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1834","layer":4},{"info":"number node, value=5873","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=5873, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"number node, value=3765","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=2310, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4517","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=2344, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6861","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6861, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1001","layer":3},{"info":"number node, value=7795","layer":4},{"info":"compute unary expreesion, input=7795, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1001, right_input=177, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-180","layer":2},{"info":"number node, value=1810","layer":4},{"info":"compute unary expreesion, input=1810, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-32022","layer":3},{"info":"compute unary expreesion, input=-32022, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-31076","layer":2},{"info":"compute binary expreesion, left_input=-180, right_input=-31076, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=62152","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=62152, 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":12,"result_base":12,"text":"((⫖↰⪸108A⨔≚≋⫖↰⪸3495⩭)≃(⫖↰⪸2219∥⊢⊲⫖↰⪸1406⪛⫼(⫖↰⪸2745+⫖↰⪸1434)))⨜⨶(((↓⇌⫖↰⪸6B5)⨐⩸⫘(⫖→⫖↰⪸4617))∇⊂⋱(⫇(∓⫖↰⪸106A)))=NaN","reverse_text":"NaN=((⫖↰⪸108A⨔≚≋⫖↰⪸3495⩭)≃(⫖↰⪸2219∥⊢⊲⫖↰⪸1406⪛⫼(⫖↰⪸2745+⫖↰⪸1434)))⨜⨶(((↓⇌⫖↰⪸6B5)⨐⩸⫘(⫖→⫖↰⪸4617))∇⊂⋱(⫇(∓⫖↰⪸106A)))","cot":[{"info":"⫖↰⪸108A⨔≚≋⫖↰⪸3495=⫖↰⪸5868","layer":3},{"info":"⫖↰⪸5868⩭=NaN","layer":2},{"info":"⫖↰⪸2219∥⊢⊲⫖↰⪸1406=NaN","layer":3},{"info":"⫖↰⪸2745+⫖↰⪸1434=⫖↰⪸3B79","layer":3},{"info":"NaN⪛⫼⫖↰⪸3B79=⫖↰⪸688","layer":2},{"info":"NaN≃⫖↰⪸688=NaN","layer":1},{"info":"↓⇌⫖↰⪸6B5=⫖↰⪸6B5","layer":3},{"info":"⫖→⫖↰⪸4617=⫖↰⪸129","layer":3},{"info":"⫖↰⪸6B5⨐⩸⫘⫖↰⪸129=⫖↰⪸-130","layer":2},{"info":"∓⫖↰⪸106A=⫖↰⪸-16646","layer":3},{"info":"⫇⫖↰⪸-16646=⫖↰⪸-15B98","layer":2},{"info":"⫖↰⪸-130∇⊂⋱⫖↰⪸-15B98=⫖↰⪸2BB74","layer":1},{"info":"NaN⨜⨶⫖↰⪸2BB74=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(≋$2539$)↓($1407$⋐⇩⊬)⪮%⊝($5073$⊴$2102$)⫘($1013$≥⨤⩑$4427$)⇽⩪","expression":"(≋⫖↰⪸1577)↓(⫖↰⪸993⋐⇩⊬)⪮%⊝(⫖↰⪸2B29⊴⫖↰⪸1272)⫘(⫖↰⪸705≥⨤⩑⫖↰⪸268B)⇽⩪","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25774,"operation_count":8,"complexity_ratio":3221.75,"tree":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2539,"base":12}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1407,"base":12}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5073,"base":12},"right_expr":{"type":"numeric_atoms","value":2102,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1013,"base":12},"right_expr":{"type":"numeric_atoms","value":4427,"base":12}}}}},"used_operators":["FonBHBYJbU","IWmyXbctLI","Af076pWI7l","61wBmkZwlr","JuuLT1NoCs","48vC8HMD2b","Nsiff2A1zJ","gJLn6v0xnP"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","7j4O788W3g","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2539","layer":3},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1407","layer":3},{"info":"compute binary expreesion, left_input=2539, right_input=1407, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=5073","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=5073, right_input=2102, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=4427, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≋⫖↰⪸1577)↓(⫖↰⪸993⋐⇩⊬)⪮%⊝(⫖↰⪸2B29⊴⫖↰⪸1272)⫘(⫖↰⪸705≥⨤⩑⫖↰⪸268B)⇽⩪=NaN","reverse_text":"NaN=(≋⫖↰⪸1577)↓(⫖↰⪸993⋐⇩⊬)⪮%⊝(⫖↰⪸2B29⊴⫖↰⪸1272)⫘(⫖↰⪸705≥⨤⩑⫖↰⪸268B)⇽⩪","cot":[{"info":"≋⫖↰⪸1577=⫖↰⪸1577","layer":3},{"info":"⫖↰⪸993⋐⇩⊬=⫖↰⪸993","layer":3},{"info":"⫖↰⪸1577↓⫖↰⪸993=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸2B29⊴⫖↰⪸1272=NaN","layer":3},{"info":"⫖↰⪸705≥⨤⩑⫖↰⪸268B=⫖↰⪸86A","layer":3},{"info":"NaN⫘⫖↰⪸86A=NaN","layer":2},{"info":"⫖↰⪸-B2⪮%⊝NaN=NaN","layer":1},{"info":"NaN⇽⩪=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"(($1911$⪛$7514$)⪣⫩)↢($2490$↤⩊$1952$∥⊢⊲($2780$⫚↹⊑$4186$))↬((($1881$⫌⩹⨱)⨎$2973$∓⋝$2464$)⩤)","expression":"((⫖↰⪸1133⪛⫖↰⪸4422)⪣⫩)↢(⫖↰⪸1536↤⩊⫖↰⪸1168∥⊢⊲(⫖↰⪸1738⫚↹⊑⫖↰⪸250A))↬(((⫖↰⪸1109⫌⩹⨱)⨎⫖↰⪸1879∓⋝⫖↰⪸1514)⩤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":260,"operation_count":11,"complexity_ratio":23.636363636363637,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1911,"base":12},"right_expr":{"type":"numeric_atoms","value":7514,"base":12}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2490,"base":12},"right_expr":{"type":"numeric_atoms","value":1952,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2780,"base":12},"right_expr":{"type":"numeric_atoms","value":4186,"base":12}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1881,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2973,"base":12},"right_expr":{"type":"numeric_atoms","value":2464,"base":12}}}}},"used_operators":["B5M0gjZbta","WR6HLWljOP","iuk5sVOGFA","uFcxV4UQCh","v1UQAVDJRr","13rbtpv6ld","dfKe02y8D2","Z2TMIBDE3Q","rJVOvQCfKK","EBcxylXtPf","PoHhknlbAi"],"dependent_operators":["rGHVDoGpnC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","EBcxylXtPf","rGHVDoGpnC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1911","layer":4},{"info":"number node, value=7514","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=7514, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1911","layer":3},{"info":"compute unary expreesion, input=1911, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=5700","layer":2},{"info":"number node, value=2490","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=2490, right_input=1952, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2780","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=4186, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=5700, right_input=-447, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5216","layer":1},{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5163","layer":3},{"info":"number node, value=2973","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=2464, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=5163, right_input=67, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=5216, right_input=-67, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1133⪛⫖↰⪸4422)⪣⫩)↢(⫖↰⪸1536↤⩊⫖↰⪸1168∥⊢⊲(⫖↰⪸1738⫚↹⊑⫖↰⪸250A))↬(((⫖↰⪸1109⫌⩹⨱)⨎⫖↰⪸1879∓⋝⫖↰⪸1514)⩤)=NaN","reverse_text":"NaN=((⫖↰⪸1133⪛⫖↰⪸4422)⪣⫩)↢(⫖↰⪸1536↤⩊⫖↰⪸1168∥⊢⊲(⫖↰⪸1738⫚↹⊑⫖↰⪸250A))↬(((⫖↰⪸1109⫌⩹⨱)⨎⫖↰⪸1879∓⋝⫖↰⪸1514)⩤)","cot":[{"info":"⫖↰⪸1133⪛⫖↰⪸4422=⫖↰⪸1133","layer":3},{"info":"⫖↰⪸1133⪣⫩=⫖↰⪸3370","layer":2},{"info":"⫖↰⪸1536↤⩊⫖↰⪸1168=NaN","layer":3},{"info":"⫖↰⪸1738⫚↹⊑⫖↰⪸250A=⫖↰⪸-313","layer":3},{"info":"NaN∥⊢⊲⫖↰⪸-313=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸3370↢⫖↰⪸-313=⫖↰⪸3028","layer":1},{"info":"⫖↰⪸1109⫌⩹⨱=⫖↰⪸2BA3","layer":3},{"info":"⫖↰⪸1879∓⋝⫖↰⪸1514=⫖↰⪸57","layer":3},{"info":"⫖↰⪸2BA3⨎⫖↰⪸57=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57⩤=⫖↰⪸-57","layer":1},{"info":"⫖↰⪸3028↬⫖↰⪸-57=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"($1061$⨑≵⋬$1932$)∋($1344$⩧⪆$1899$)⊋(($4713$∵≐)≬⋮$1190$∊∟⩊$1014$)≎⊠⪸((↡$6165$)+⇶⊼$1423$⪔$1101$)⫁⪎($1108$⇡⇂$1859$⋾⨃∁$2502$→⨶⪴$6991$)","expression":"(⫖↰⪸745⨑≵⋬⫖↰⪸1150)∋(⫖↰⪸940⩧⪆⫖↰⪸1123)⊋((⫖↰⪸2889∵≐)≬⋮⫖↰⪸832∊∟⩊⫖↰⪸706)≎⊠⪸((↡⫖↰⪸3699)+⇶⊼⫖↰⪸9A7⪔⫖↰⪸779)⫁⪎(⫖↰⪸784⇡⇂⫖↰⪸10AB⋾⨃∁⫖↰⪸1546→⨶⪴⫖↰⪸4067)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34459,"operation_count":15,"complexity_ratio":2297.266666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":1932,"base":12}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1344,"base":12},"right_expr":{"type":"numeric_atoms","value":1899,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":4713,"base":12}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1190,"base":12},"right_expr":{"type":"numeric_atoms","value":1014,"base":12}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":6165,"base":12}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1423,"base":12},"right_expr":{"type":"numeric_atoms","value":1101,"base":12}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1108,"base":12},"right_expr":{"type":"numeric_atoms","value":1859,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2502,"base":12},"right_expr":{"type":"numeric_atoms","value":6991,"base":12}}}}},"used_operators":["bJkvcejdHO","W4tP9CfskL","ukq6epAj5P","XnXgA4xnOs","Ikt5ks8PT7","kbkesczE7y","59igzFyhWz","ddLRYrp01A","xRrnTEsQ6j","TpPTUOHfaN","MXaNJeIAZ3","GjBEYRfMaF","212REbPD9h","UMwdvZNt44","bF6eod5Gvf"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AHs5Up7iyr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","8w2t5hMYqp","9FxExcQeMw"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1932, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-6840","layer":3},{"info":"number node, value=1344","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=1899, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1899","layer":3},{"info":"compute binary expreesion, left_input=-6840, right_input=-1899, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-27264","layer":2},{"info":"number node, value=4713","layer":4},{"info":"compute unary expreesion, input=4713, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=3767","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1014, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=17","layer":3},{"info":"compute binary expreesion, left_input=3767, right_input=17, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-27264, right_input=868, 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=-176985900","layer":1},{"info":"number node, value=6165","layer":4},{"info":"compute unary expreesion, input=6165, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=55485","layer":3},{"info":"number node, value=1423","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=1101, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=55485, right_input=450, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1859, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=2502","layer":4},{"info":"number node, value=6991","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=6991, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-20973","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20973, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-176985900, 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":12,"result_base":12,"text":"(⫖↰⪸745⨑≵⋬⫖↰⪸1150)∋(⫖↰⪸940⩧⪆⫖↰⪸1123)⊋((⫖↰⪸2889∵≐)≬⋮⫖↰⪸832∊∟⩊⫖↰⪸706)≎⊠⪸((↡⫖↰⪸3699)+⇶⊼⫖↰⪸9A7⪔⫖↰⪸779)⫁⪎(⫖↰⪸784⇡⇂⫖↰⪸10AB⋾⨃∁⫖↰⪸1546→⨶⪴⫖↰⪸4067)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸745⨑≵⋬⫖↰⪸1150)∋(⫖↰⪸940⩧⪆⫖↰⪸1123)⊋((⫖↰⪸2889∵≐)≬⋮⫖↰⪸832∊∟⩊⫖↰⪸706)≎⊠⪸((↡⫖↰⪸3699)+⇶⊼⫖↰⪸9A7⪔⫖↰⪸779)⫁⪎(⫖↰⪸784⇡⇂⫖↰⪸10AB⋾⨃∁⫖↰⪸1546→⨶⪴⫖↰⪸4067)","cot":[{"info":"⫖↰⪸745⨑≵⋬⫖↰⪸1150=⫖↰⪸-3B60","layer":3},{"info":"⫖↰⪸940⩧⪆⫖↰⪸1123=⫖↰⪸-1123","layer":3},{"info":"⫖↰⪸-3B60∋⫖↰⪸-1123=⫖↰⪸-13940","layer":2},{"info":"⫖↰⪸2889∵≐=⫖↰⪸221B","layer":3},{"info":"⫖↰⪸832∊∟⩊⫖↰⪸706=⫖↰⪸15","layer":3},{"info":"⫖↰⪸221B≬⋮⫖↰⪸15=⫖↰⪸604","layer":2},{"info":"⫖↰⪸-13940⊋⫖↰⪸604=⫖↰⪸-4B332490","layer":1},{"info":"↡⫖↰⪸3699=⫖↰⪸28139","layer":3},{"info":"⫖↰⪸9A7⪔⫖↰⪸779=⫖↰⪸316","layer":3},{"info":"⫖↰⪸28139+⇶⊼⫖↰⪸316=NaN","layer":2},{"info":"⫖↰⪸784⇡⇂⫖↰⪸10AB=NaN","layer":3},{"info":"⫖↰⪸1546→⨶⪴⫖↰⪸4067=⫖↰⪸-10179","layer":3},{"info":"NaN⋾⨃∁⫖↰⪸-10179=Inf","layer":2},{"info":"NaN⫁⪎Inf=NaN","layer":1},{"info":"⫖↰⪸-4B332490≎⊠⪸NaN=⫖↰⪸57","layer":0}]}
{"id":395,"expression_no_base_symbol":"($2265$∥⊢⊲$2392$≓∲$4049$∴$2527$)⩺⪪(($1378$⊭∹↮)⨳⩥⨓$2372$↳≱$5020$)∪⫐(($4214$⫰⋱$1400$)∴≳≥)↹⊜($6741$⩚⊴⇥$4546$⪇≇⋚($2685$⩵∡$2716$))","expression":"(⫖↰⪸1389∥⊢⊲⫖↰⪸1474≓∲⫖↰⪸2415∴⫖↰⪸1567)⩺⪪((⫖↰⪸96A⊭∹↮)⨳⩥⨓⫖↰⪸1458↳≱⫖↰⪸2AA4)∪⫐((⫖↰⪸2532⫰⋱⫖↰⪸988)∴≳≥)↹⊜(⫖↰⪸3A99⩚⊴⇥⫖↰⪸276A⪇≇⋚(⫖↰⪸1679⩵∡⫖↰⪸16A4))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":343,"operation_count":14,"complexity_ratio":24.5,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2265,"base":12},"right_expr":{"type":"numeric_atoms","value":2392,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4049,"base":12},"right_expr":{"type":"numeric_atoms","value":2527,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1378,"base":12}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2372,"base":12},"right_expr":{"type":"numeric_atoms","value":5020,"base":12}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4214,"base":12},"right_expr":{"type":"numeric_atoms","value":1400,"base":12}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6741,"base":12},"right_expr":{"type":"numeric_atoms","value":4546,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2685,"base":12},"right_expr":{"type":"numeric_atoms","value":2716,"base":12}}}}},"used_operators":["7YooWSwCyH","uvdQJvN4PV","s1XTVnmDOJ","v1UQAVDJRr","hrf7POJlIJ","nCS4ZIUYfx","xNBdhnnwKq","JwTKLfZU96","9bazX3JMtO","a3N2hFLK0J","6o9Blt3TJ6","3sJ7IOPOlU","NTOWxs364D","Y7wcNGrDQJ"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","EBcxylXtPf","rGHVDoGpnC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2265","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=2392, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4049","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=2527, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9746","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9746, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2756","layer":3},{"info":"number node, value=2372","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=5020, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2756, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2756","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2756, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=4214","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=1400, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4181","layer":3},{"info":"compute unary expreesion, input=-4181, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-16724","layer":2},{"info":"number node, value=6741","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=6741, right_input=4546, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11408","layer":3},{"info":"number node, value=2685","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=2716, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2775","layer":3},{"info":"compute binary expreesion, left_input=-11408, right_input=-2775, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-16724, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-96","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-96, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1389∥⊢⊲⫖↰⪸1474≓∲⫖↰⪸2415∴⫖↰⪸1567)⩺⪪((⫖↰⪸96A⊭∹↮)⨳⩥⨓⫖↰⪸1458↳≱⫖↰⪸2AA4)∪⫐((⫖↰⪸2532⫰⋱⫖↰⪸988)∴≳≥)↹⊜(⫖↰⪸3A99⩚⊴⇥⫖↰⪸276A⪇≇⋚(⫖↰⪸1679⩵∡⫖↰⪸16A4))=NaN","reverse_text":"NaN=(⫖↰⪸1389∥⊢⊲⫖↰⪸1474≓∲⫖↰⪸2415∴⫖↰⪸1567)⩺⪪((⫖↰⪸96A⊭∹↮)⨳⩥⨓⫖↰⪸1458↳≱⫖↰⪸2AA4)∪⫐((⫖↰⪸2532⫰⋱⫖↰⪸988)∴≳≥)↹⊜(⫖↰⪸3A99⩚⊴⇥⫖↰⪸276A⪇≇⋚(⫖↰⪸1679⩵∡⫖↰⪸16A4))","cot":[{"info":"⫖↰⪸1389∥⊢⊲⫖↰⪸1474=NaN","layer":3},{"info":"⫖↰⪸2415∴⫖↰⪸1567=⫖↰⪸5782","layer":3},{"info":"NaN≓∲⫖↰⪸5782=NaN","layer":2},{"info":"⫖↰⪸96A⊭∹↮=⫖↰⪸1718","layer":3},{"info":"⫖↰⪸1458↳≱⫖↰⪸2AA4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1718⨳⩥⨓⫖↰⪸0=⫖↰⪸-1718","layer":2},{"info":"NaN⩺⪪⫖↰⪸-1718=NaN","layer":1},{"info":"⫖↰⪸2532⫰⋱⫖↰⪸988=⫖↰⪸-2505","layer":3},{"info":"⫖↰⪸-2505∴≳≥=⫖↰⪸-9818","layer":2},{"info":"⫖↰⪸3A99⩚⊴⇥⫖↰⪸276A=⫖↰⪸-6728","layer":3},{"info":"⫖↰⪸1679⩵∡⫖↰⪸16A4=⫖↰⪸-1733","layer":3},{"info":"⫖↰⪸-6728⪇≇⋚⫖↰⪸-1733=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-9818↹⊜⫖↰⪸0=⫖↰⪸-80","layer":1},{"info":"NaN∪⫐⫖↰⪸-80=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"((⫎≠⋺($3719$↪⪝))∑⇟⊟(($2631$⨌↪)⪡(⩷⨜⫀$3453$)))⫣⪄⊒(↽≂(($3177$⇩)⊘))","expression":"((⫎≠⋺(⫖↰⪸219B↪⪝))∑⇟⊟((⫖↰⪸1633⨌↪)⪡(⩷⨜⫀⫖↰⪸1BB9)))⫣⪄⊒(↽≂((⫖↰⪸1A09⇩)⊘))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":814,"operation_count":10,"complexity_ratio":81.4,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3719,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":2631,"base":12}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3453,"base":12}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":3177,"base":12}}}}},"used_operators":["RabNbG55vr","U7g4x0WXJJ","LYeZOJ0nQG","l07mrZUIn9","oraRL2iQuh","cWQsF5MvuD","CDi0ktkjQ4","u6S6b8DprG","gu96TGCTMs","vRio1gEz1j"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3719","layer":4},{"info":"compute unary expreesion, input=3719, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=227535858","layer":3},{"info":"compute unary expreesion, input=227535858, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"number node, value=2631","layer":4},{"info":"compute unary expreesion, input=2631, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=3453","layer":4},{"info":"compute unary expreesion, input=3453, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3180","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=-3180, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1928","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1928, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3177","layer":4},{"info":"compute unary expreesion, input=3177, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=3270","layer":3},{"info":"compute unary expreesion, input=3270, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=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":12,"result_base":12,"text":"((⫎≠⋺(⫖↰⪸219B↪⪝))∑⇟⊟((⫖↰⪸1633⨌↪)⪡(⩷⨜⫀⫖↰⪸1BB9)))⫣⪄⊒(↽≂((⫖↰⪸1A09⇩)⊘))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⫎≠⋺(⫖↰⪸219B↪⪝))∑⇟⊟((⫖↰⪸1633⨌↪)⪡(⩷⨜⫀⫖↰⪸1BB9)))⫣⪄⊒(↽≂((⫖↰⪸1A09⇩)⊘))","cot":[{"info":"⫖↰⪸219B↪⪝=⫖↰⪸6424BA16","layer":3},{"info":"⫎≠⋺⫖↰⪸6424BA16=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1633⨌↪=⫖↰⪸-340","layer":3},{"info":"⩷⨜⫀⫖↰⪸1BB9=⫖↰⪸-1A10","layer":3},{"info":"⫖↰⪸-340⪡⫖↰⪸-1A10=⫖↰⪸1148","layer":2},{"info":"⫖↰⪸0∑⇟⊟⫖↰⪸1148=NaN","layer":1},{"info":"⫖↰⪸1A09⇩=⫖↰⪸1A86","layer":3},{"info":"⫖↰⪸1A86⊘=⫖↰⪸0","layer":2},{"info":"↽≂⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN⫣⪄⊒⫖↰⪸0=⫖↰⪸114","layer":0}]}
{"id":397,"expression_no_base_symbol":"((⇐$1330$)⇴∐(∟⋨$5112$))⨑⩅≇((∷≠$5315$)⋳⪒$3215$⩚⊴⇥$2374$)⩚⊴⇥(($1591$-$3959$)⪶≀⋏($1192$⋷$1085$))⪪($2208$⫒⫫$4496$⇮⋭$5409$⊮⊟↴$4043$)","expression":"((⇐⫖↰⪸92A)⇴∐(∟⋨⫖↰⪸2B60))⨑⩅≇((∷≠⫖↰⪸30AB)⋳⪒⫖↰⪸1A3B⩚⊴⇥⫖↰⪸145A)⩚⊴⇥((⫖↰⪸B07-⫖↰⪸235B)⪶≀⋏(⫖↰⪸834⋷⫖↰⪸765))⪪(⫖↰⪸1340⫒⫫⫖↰⪸2728⇮⋭⫖↰⪸3169⊮⊟↴⫖↰⪸240B)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":29021,"operation_count":15,"complexity_ratio":1934.7333333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1330,"base":12}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":5112,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":5315,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3215,"base":12},"right_expr":{"type":"numeric_atoms","value":2374,"base":12}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1591,"base":12},"right_expr":{"type":"numeric_atoms","value":3959,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1192,"base":12},"right_expr":{"type":"numeric_atoms","value":1085,"base":12}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2208,"base":12},"right_expr":{"type":"numeric_atoms","value":4496,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5409,"base":12},"right_expr":{"type":"numeric_atoms","value":4043,"base":12}}}}},"used_operators":["NTOWxs364D","h92wMvzauj","HnzytWxmAO","nmZMaaE0Q9","ctOc4cKSDt","12rbrZMWeM","QiR2Oyf5Xj","xD69zh8xqp","zR4jO40bMj","rysDP5nf3Z","23Mk6UjR3U","vkpjKywKVM","6Ko8hGgeMq","QDVgd2eftb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⫖↰⪸4889A1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2110","layer":3},{"info":"number node, value=5112","layer":4},{"info":"compute unary expreesion, input=5112, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4628","layer":3},{"info":"compute binary expreesion, left_input=2110, right_input=-4628, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=5315","layer":4},{"info":"compute unary expreesion, input=5315, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=5315","layer":3},{"info":"number node, value=3215","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=2374, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5710","layer":3},{"info":"compute binary expreesion, left_input=5315, right_input=-5710, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=16053","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16053, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"number node, value=1591","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=3959, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2368","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1085, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=978","layer":3},{"info":"compute binary expreesion, left_input=-2368, right_input=978, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=7824","layer":2},{"info":"number node, value=2208","layer":4},{"info":"number node, value=4496","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=4496, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=5409","layer":4},{"info":"number node, value=4043","layer":4},{"info":"compute binary expreesion, left_input=5409, right_input=4043, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=7824, right_input=-473, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1177513","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=-1177513, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1176457","layer":0}],"base":12,"result_base":12,"text":"((⇐⫖↰⪸92A)⇴∐(∟⋨⫖↰⪸2B60))⨑⩅≇((∷≠⫖↰⪸30AB)⋳⪒⫖↰⪸1A3B⩚⊴⇥⫖↰⪸145A)⩚⊴⇥((⫖↰⪸B07-⫖↰⪸235B)⪶≀⋏(⫖↰⪸834⋷⫖↰⪸765))⪪(⫖↰⪸1340⫒⫫⫖↰⪸2728⇮⋭⫖↰⪸3169⊮⊟↴⫖↰⪸240B)=⫖↰⪸4889A1","reverse_text":"⫖↰⪸4889A1=((⇐⫖↰⪸92A)⇴∐(∟⋨⫖↰⪸2B60))⨑⩅≇((∷≠⫖↰⪸30AB)⋳⪒⫖↰⪸1A3B⩚⊴⇥⫖↰⪸145A)⩚⊴⇥((⫖↰⪸B07-⫖↰⪸235B)⪶≀⋏(⫖↰⪸834⋷⫖↰⪸765))⪪(⫖↰⪸1340⫒⫫⫖↰⪸2728⇮⋭⫖↰⪸3169⊮⊟↴⫖↰⪸240B)","cot":[{"info":"⇐⫖↰⪸92A=⫖↰⪸127A","layer":3},{"info":"∟⋨⫖↰⪸2B60=⫖↰⪸-2818","layer":3},{"info":"⫖↰⪸127A⇴∐⫖↰⪸-2818=NaN","layer":2},{"info":"∷≠⫖↰⪸30AB=⫖↰⪸30AB","layer":3},{"info":"⫖↰⪸1A3B⩚⊴⇥⫖↰⪸145A=⫖↰⪸-337A","layer":3},{"info":"⫖↰⪸30AB⋳⪒⫖↰⪸-337A=⫖↰⪸9359","layer":2},{"info":"NaN⨑⩅≇⫖↰⪸9359=⫖↰⪸65B","layer":1},{"info":"⫖↰⪸B07-⫖↰⪸235B=⫖↰⪸-1454","layer":3},{"info":"⫖↰⪸834⋷⫖↰⪸765=⫖↰⪸696","layer":3},{"info":"⫖↰⪸-1454⪶≀⋏⫖↰⪸696=⫖↰⪸4640","layer":2},{"info":"⫖↰⪸1340⫒⫫⫖↰⪸2728=NaN","layer":3},{"info":"⫖↰⪸3169⊮⊟↴⫖↰⪸240B=⫖↰⪸0","layer":3},{"info":"NaN⇮⋭⫖↰⪸0=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸4640⪪⫖↰⪸-335=⫖↰⪸-489521","layer":1},{"info":"⫖↰⪸65B⩚⊴⇥⫖↰⪸-489521=⫖↰⪸4889A1","layer":0}]}
{"id":398,"expression_no_base_symbol":"((⩩($1991$⪠⩆⊳))∀⇚≩($2110$∋$1044$)↓($4766$⩚⊴⇥$4097$))∘($8078$⋕⪉⪜$1172$*(⫎≠⋺$1869$))⊮⊟↴($1948$⫁$3970$⇣⩺⋵(↸⊣$1381$))","expression":"((⩩(⫖↰⪸119B⪠⩆⊳))∀⇚≩(⫖↰⪸127A∋⫖↰⪸730)↓(⫖↰⪸2912⩚⊴⇥⫖↰⪸2455))∘(⫖↰⪸4812⋕⪉⪜⫖↰⪸818*(⫎≠⋺⫖↰⪸10B9))⊮⊟↴(⫖↰⪸1164⫁⫖↰⪸236A⇣⩺⋵(↸⊣⫖↰⪸971))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":128999,"operation_count":14,"complexity_ratio":9214.214285714286,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1991,"base":12}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2110,"base":12},"right_expr":{"type":"numeric_atoms","value":1044,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4766,"base":12},"right_expr":{"type":"numeric_atoms","value":4097,"base":12}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":8078,"base":12},"right_expr":{"type":"numeric_atoms","value":1172,"base":12}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1869,"base":12}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1948,"base":12},"right_expr":{"type":"numeric_atoms","value":3970,"base":12}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1381,"base":12}}}}},"used_operators":["Z5m6OM72h2","LRNGc0VcxI","kMhfGuqI2H","JLbD19bQDL","Af076pWI7l","ukq6epAj5P","NTOWxs364D","QDVgd2eftb","9HNa5Wba9A","z6LnFrNh4i","LYeZOJ0nQG","F4yD0voBRQ","0ajvFaJAv0","wztAlM01eG"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","X99M06cbEe","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","cHh1gJQ2o6","AHs5Up7iyr","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1991","layer":4},{"info":"compute unary expreesion, input=1991, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":2},{"info":"number node, value=2110","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=1044, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2219216","layer":3},{"info":"number node, value=4766","layer":4},{"info":"number node, value=4097","layer":4},{"info":"compute binary expreesion, left_input=4766, right_input=4097, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8984","layer":3},{"info":"compute binary expreesion, left_input=2219216, right_input=-8984, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=-134, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=8078","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=8078, right_input=1172, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1948","layer":4},{"info":"number node, value=3970","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=3970, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1094","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1094, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⩩(⫖↰⪸119B⪠⩆⊳))∀⇚≩(⫖↰⪸127A∋⫖↰⪸730)↓(⫖↰⪸2912⩚⊴⇥⫖↰⪸2455))∘(⫖↰⪸4812⋕⪉⪜⫖↰⪸818*(⫎≠⋺⫖↰⪸10B9))⊮⊟↴(⫖↰⪸1164⫁⫖↰⪸236A⇣⩺⋵(↸⊣⫖↰⪸971))=NaN","reverse_text":"NaN=((⩩(⫖↰⪸119B⪠⩆⊳))∀⇚≩(⫖↰⪸127A∋⫖↰⪸730)↓(⫖↰⪸2912⩚⊴⇥⫖↰⪸2455))∘(⫖↰⪸4812⋕⪉⪜⫖↰⪸818*(⫎≠⋺⫖↰⪸10B9))⊮⊟↴(⫖↰⪸1164⫁⫖↰⪸236A⇣⩺⋵(↸⊣⫖↰⪸971))","cot":[{"info":"⫖↰⪸119B⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⩩⫖↰⪸0=⫖↰⪸174","layer":2},{"info":"⫖↰⪸127A∋⫖↰⪸730=⫖↰⪸8B0328","layer":3},{"info":"⫖↰⪸2912⩚⊴⇥⫖↰⪸2455=⫖↰⪸-5248","layer":3},{"info":"⫖↰⪸8B0328↓⫖↰⪸-5248=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸174∀⇚≩⫖↰⪸-B2=NaN","layer":1},{"info":"⫖↰⪸4812⋕⪉⪜⫖↰⪸818=⫖↰⪸1756","layer":3},{"info":"⫎≠⋺⫖↰⪸10B9=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1756*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1164⫁⫖↰⪸236A=⫖↰⪸114","layer":3},{"info":"↸⊣⫖↰⪸971=⫖↰⪸-772","layer":3},{"info":"⫖↰⪸114⇣⩺⋵⫖↰⪸-772=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸0⊮⊟↴⫖↰⪸-198=⫖↰⪸0","layer":1},{"info":"NaN∘⫖↰⪸0=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"(⊿$1466$⪮%⊝$5458$↬(⊖$1022$))⨐(($1210$⊭↱$1088$)⫒⫫($1221$↦)↺$1155$≌$1681$⨸$1106$⪬$2081$)","expression":"(⊿⫖↰⪸A22⪮%⊝⫖↰⪸31AA↬(⊖⫖↰⪸712))⨐((⫖↰⪸84A⊭↱⫖↰⪸768)⫒⫫(⫖↰⪸859↦)↺⫖↰⪸803≌⫖↰⪸B81⨸⫖↰⪸782⪬⫖↰⪸1255)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":226404,"operation_count":12,"complexity_ratio":18867.0,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1466,"base":12},"right_expr":{"type":"numeric_atoms","value":5458,"base":12}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1022,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":1088,"base":12}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1221,"base":12}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1155,"base":12},"right_expr":{"type":"numeric_atoms","value":1681,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1106,"base":12},"right_expr":{"type":"numeric_atoms","value":2081,"base":12}}}}},"used_operators":["Noe24qw2ks","DO4fhlbJSI","B5M0gjZbta","IWmyXbctLI","U6pG0PXrV3","7j4O788W3g","6Ko8hGgeMq","COABgblf1C","fFznvYxMfW","KmoU8R5UQR","lyWz822IDG","Ez1Nq5fNfI"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":4},{"info":"number node, value=5458","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=5458, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3248","layer":3},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3248, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1088, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-239","layer":3},{"info":"number node, value=1221","layer":4},{"info":"compute unary expreesion, input=1221, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-239, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=1155","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1681, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=2081, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊿⫖↰⪸A22⪮%⊝⫖↰⪸31AA↬(⊖⫖↰⪸712))⨐((⫖↰⪸84A⊭↱⫖↰⪸768)⫒⫫(⫖↰⪸859↦)↺⫖↰⪸803≌⫖↰⪸B81⨸⫖↰⪸782⪬⫖↰⪸1255)=NaN","reverse_text":"NaN=(⊿⫖↰⪸A22⪮%⊝⫖↰⪸31AA↬(⊖⫖↰⪸712))⨐((⫖↰⪸84A⊭↱⫖↰⪸768)⫒⫫(⫖↰⪸859↦)↺⫖↰⪸803≌⫖↰⪸B81⨸⫖↰⪸782⪬⫖↰⪸1255)","cot":[{"info":"⫖↰⪸A22⪮%⊝⫖↰⪸31AA=⫖↰⪸1A68","layer":3},{"info":"⊖⫖↰⪸712=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1A68↬⫖↰⪸0=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"⫖↰⪸84A⊭↱⫖↰⪸768=⫖↰⪸-17B","layer":3},{"info":"⫖↰⪸859↦=NaN","layer":3},{"info":"⫖↰⪸-17B⫒⫫NaN=NaN","layer":2},{"info":"⫖↰⪸803≌⫖↰⪸B81=NaN","layer":3},{"info":"⫖↰⪸782⪬⫖↰⪸1255=⫖↰⪸86A","layer":3},{"info":"NaN⨸⫖↰⪸86A=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⨐NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"(∐⩳⋚($3512$⇤$1296$⇉⇉))⋝⋈⪟((($4680$⇮⋭$5616$)⇩)⫡⨏(⇜⊴($1486$↰)))","expression":"(∐⩳⋚(⫖↰⪸2048⇤⫖↰⪸900⇉⇉))⋝⋈⪟(((⫖↰⪸2860⇮⋭⫖↰⪸3300)⇩)⫡⨏(⇜⊴(⫖↰⪸A3A↰)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":385,"operation_count":9,"complexity_ratio":42.77777777777778,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3512,"base":12},"right_expr":{"type":"numeric_atoms","value":1296,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4680,"base":12},"right_expr":{"type":"numeric_atoms","value":5616,"base":12}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1486,"base":12}}}}},"used_operators":["2DDjHMKMc0","SL6IHkK8vl","diKm42VcIt","YSKBFp38Pu","QMFrweE19q","vRio1gEz1j","vkpjKywKVM","XwDhCwWbUn","bl5wxAcryP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"⫖↰⪸B069145","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3512","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=1296, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-21192","layer":3},{"info":"compute unary expreesion, input=-21192, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=218572","layer":2},{"info":"compute unary expreesion, input=218572, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=32985989","layer":1},{"info":"number node, value=4680","layer":4},{"info":"number node, value=5616","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=5616, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-380","layer":2},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1385","layer":3},{"info":"compute unary expreesion, input=1385, 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=-313146","layer":2},{"info":"compute binary expreesion, left_input=-380, right_input=-313146, 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=-627409","layer":1},{"info":"compute binary expreesion, left_input=32985989, right_input=-627409, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=32985989","layer":0}],"base":12,"result_base":12,"text":"(∐⩳⋚(⫖↰⪸2048⇤⫖↰⪸900⇉⇉))⋝⋈⪟(((⫖↰⪸2860⇮⋭⫖↰⪸3300)⇩)⫡⨏(⇜⊴(⫖↰⪸A3A↰)))=⫖↰⪸B069145","reverse_text":"⫖↰⪸B069145=(∐⩳⋚(⫖↰⪸2048⇤⫖↰⪸900⇉⇉))⋝⋈⪟(((⫖↰⪸2860⇮⋭⫖↰⪸3300)⇩)⫡⨏(⇜⊴(⫖↰⪸A3A↰)))","cot":[{"info":"⫖↰⪸2048⇤⫖↰⪸900=⫖↰⪸-10320","layer":3},{"info":"⫖↰⪸-10320⇉⇉=⫖↰⪸A65A4","layer":2},{"info":"∐⩳⋚⫖↰⪸A65A4=⫖↰⪸B069145","layer":1},{"info":"⫖↰⪸2860⇮⋭⫖↰⪸3300=⫖↰⪸-335","layer":3},{"info":"⫖↰⪸-335⇩=⫖↰⪸-278","layer":2},{"info":"⫖↰⪸A3A↰=⫖↰⪸975","layer":3},{"info":"⇜⊴⫖↰⪸975=⫖↰⪸-131276","layer":2},{"info":"⫖↰⪸-278⫡⨏⫖↰⪸-131276=⫖↰⪸-263101","layer":1},{"info":"⫖↰⪸B069145⋝⋈⪟⫖↰⪸-263101=⫖↰⪸B069145","layer":0}]}
{"id":401,"expression_no_base_symbol":"((($5443$≑≱⪘)⊫∞)⨵⪆$5902$≎⪠$6809$⫰⋱(→⩰$1066$))⩒⫫((⊈$7456$)⋻⩜⩜$1020$⊝⪿⪼$1443$)⫁⪎(⫖→$1330$⨼⩣$1880$)","expression":"(((⫖↰⪸3197≑≱⪘)⊫∞)⨵⪆⫖↰⪸34BA≎⪠⫖↰⪸3B35⫰⋱(→⩰⫖↰⪸74A))⩒⫫((⊈⫖↰⪸4394)⋻⩜⩜⫖↰⪸710⊝⪿⪼⫖↰⪸A03)⫁⪎(⫖→⫖↰⪸92A⨼⩣⫖↰⪸1108)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":44541,"operation_count":13,"complexity_ratio":3426.230769230769,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":5443,"base":12}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5902,"base":12},"right_expr":{"type":"numeric_atoms","value":6809,"base":12}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1066,"base":12}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":7456,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1020,"base":12},"right_expr":{"type":"numeric_atoms","value":1443,"base":12}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1330,"base":12},"right_expr":{"type":"numeric_atoms","value":1880,"base":12}}}}},"used_operators":["KFSx94NKJn","2DQ55sFlQl","pABnYW3G3E","tGSeddj7UK","6o9Blt3TJ6","aNhz54LH3e","o8Pngz0Tml","xRrnTEsQ6j","oDCm7WA9JY","RHru8klgy8","3Oe9XWJUTD","U4ylXWHChL","JxwMv5le6e"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","12rbrZMWeM","xUOZtlo3hN","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⫖↰⪸-BA","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5443","layer":4},{"info":"compute unary expreesion, input=5443, 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=137883","layer":3},{"info":"compute unary expreesion, input=137883, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=5902","layer":4},{"info":"number node, value=6809","layer":4},{"info":"compute binary expreesion, left_input=5902, right_input=6809, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1066","layer":4},{"info":"compute unary expreesion, input=1066, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=7456","layer":4},{"info":"compute unary expreesion, input=7456, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-7630","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1443, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=20218","layer":3},{"info":"compute binary expreesion, left_input=-7630, right_input=20218, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=32444","layer":2},{"info":"number node, value=1330","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1880, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=32444, right_input=177, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=32267","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=32267, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-142","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸3197≑≱⪘)⊫∞)⨵⪆⫖↰⪸34BA≎⪠⫖↰⪸3B35⫰⋱(→⩰⫖↰⪸74A))⩒⫫((⊈⫖↰⪸4394)⋻⩜⩜⫖↰⪸710⊝⪿⪼⫖↰⪸A03)⫁⪎(⫖→⫖↰⪸92A⨼⩣⫖↰⪸1108)=⫖↰⪸-BA","reverse_text":"⫖↰⪸-BA=(((⫖↰⪸3197≑≱⪘)⊫∞)⨵⪆⫖↰⪸34BA≎⪠⫖↰⪸3B35⫰⋱(→⩰⫖↰⪸74A))⩒⫫((⊈⫖↰⪸4394)⋻⩜⩜⫖↰⪸710⊝⪿⪼⫖↰⪸A03)⫁⪎(⫖→⫖↰⪸92A⨼⩣⫖↰⪸1108)","cot":[{"info":"⫖↰⪸3197≑≱⪘=⫖↰⪸67963","layer":3},{"info":"⫖↰⪸67963⊫∞=⫖↰⪸0","layer":2},{"info":"⫖↰⪸34BA≎⪠⫖↰⪸3B35=⫖↰⪸B39A","layer":3},{"info":"→⩰⫖↰⪸74A=NaN","layer":3},{"info":"⫖↰⪸B39A⫰⋱NaN=NaN","layer":2},{"info":"⫖↰⪸0⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⊈⫖↰⪸4394=⫖↰⪸-44BA","layer":3},{"info":"⫖↰⪸710⊝⪿⪼⫖↰⪸A03=⫖↰⪸B84A","layer":3},{"info":"⫖↰⪸-44BA⋻⩜⩜⫖↰⪸B84A=⫖↰⪸16938","layer":2},{"info":"⫖↰⪸92A⨼⩣⫖↰⪸1108=NaN","layer":3},{"info":"⫖→NaN=⫖↰⪸129","layer":2},{"info":"⫖↰⪸16938⫁⪎⫖↰⪸129=⫖↰⪸1680B","layer":1},{"info":"⫖↰⪸114⩒⫫⫖↰⪸1680B=⫖↰⪸-BA","layer":0}]}
{"id":402,"expression_no_base_symbol":"∓⪦(($1770$⫚↹⊑$5767$)⊕∕($1410$⪚$5667$)≧⫂∧($1317$⫥∨⫟$1804$↸($2586$⫽⇹≛)))","expression":"∓⪦((⫖↰⪸1036⫚↹⊑⫖↰⪸3407)⊕∕(⫖↰⪸996⪚⫖↰⪸3343)≧⫂∧(⫖↰⪸919⫥∨⫟⫖↰⪸1064↸(⫖↰⪸15B6⫽⇹≛)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":249,"operation_count":8,"complexity_ratio":31.125,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1770,"base":12},"right_expr":{"type":"numeric_atoms","value":5767,"base":12}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":5667,"base":12}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1317,"base":12},"right_expr":{"type":"numeric_atoms","value":1804,"base":12}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":2586,"base":12}}}}},"used_operators":["D309nIvmXG","Ph9nP6C5qx","9cloC0Ngie","dfKe02y8D2","HrjLwUk87U","1eCjFl0mb9","KYD54nUTWz","NNaDxxp6OQ"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1770","layer":4},{"info":"number node, value=5767","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=5767, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1410","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=5667, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-8870","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-8870, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-447","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1804, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2586","layer":4},{"info":"compute unary expreesion, input=2586, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=272, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∓⪦((⫖↰⪸1036⫚↹⊑⫖↰⪸3407)⊕∕(⫖↰⪸996⪚⫖↰⪸3343)≧⫂∧(⫖↰⪸919⫥∨⫟⫖↰⪸1064↸(⫖↰⪸15B6⫽⇹≛)))=NaN","reverse_text":"NaN=∓⪦((⫖↰⪸1036⫚↹⊑⫖↰⪸3407)⊕∕(⫖↰⪸996⪚⫖↰⪸3343)≧⫂∧(⫖↰⪸919⫥∨⫟⫖↰⪸1064↸(⫖↰⪸15B6⫽⇹≛)))","cot":[{"info":"⫖↰⪸1036⫚↹⊑⫖↰⪸3407=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸996⪚⫖↰⪸3343=⫖↰⪸-5172","layer":3},{"info":"⫖↰⪸-313⊕∕⫖↰⪸-5172=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸919⫥∨⫟⫖↰⪸1064=NaN","layer":3},{"info":"⫖↰⪸15B6⫽⇹≛=⫖↰⪸1A8","layer":3},{"info":"NaN↸⫖↰⪸1A8=NaN","layer":2},{"info":"⫖↰⪸-313≧⫂∧NaN=NaN","layer":1},{"info":"∓⪦NaN=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"((($3233$≥⨤⩑$4395$)≹⇙⪍($1462$⇴∐$1395$))⨘)⨑⩅≇(⫎≠⋺($3940$⋣⋖$1017$⪛(⩏⊷≩$1175$)))","expression":"(((⫖↰⪸1A55≥⨤⩑⫖↰⪸2663)≹⇙⪍(⫖↰⪸A1A⇴∐⫖↰⪸983))⨘)⨑⩅≇(⫎≠⋺(⫖↰⪸2344⋣⋖⫖↰⪸709⪛(⩏⊷≩⫖↰⪸81B)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":181,"operation_count":9,"complexity_ratio":20.11111111111111,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3233,"base":12},"right_expr":{"type":"numeric_atoms","value":4395,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1462,"base":12},"right_expr":{"type":"numeric_atoms","value":1395,"base":12}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3940,"base":12},"right_expr":{"type":"numeric_atoms","value":1017,"base":12}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1175,"base":12}}}}},"used_operators":["h92wMvzauj","ljcfZBUpm8","AHs5Up7iyr","gJLn6v0xnP","HnzytWxmAO","LYeZOJ0nQG","uFcxV4UQCh","J0M6qkBnIM","uOZ1tnYMDE"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","dWAJyo7jo9","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","12rbrZMWeM"],"result":"⫖↰⪸65B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3233","layer":4},{"info":"number node, value=4395","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=4395, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=1395, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=nan","layer":1},{"info":"number node, value=3940","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=3940, right_input=1017, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3940","layer":3},{"info":"number node, value=1175","layer":4},{"info":"compute unary expreesion, input=1175, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2049","layer":3},{"info":"compute binary expreesion, left_input=3940, right_input=2049, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1891","layer":2},{"info":"compute unary expreesion, input=1891, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1A55≥⨤⩑⫖↰⪸2663)≹⇙⪍(⫖↰⪸A1A⇴∐⫖↰⪸983))⨘)⨑⩅≇(⫎≠⋺(⫖↰⪸2344⋣⋖⫖↰⪸709⪛(⩏⊷≩⫖↰⪸81B)))=⫖↰⪸65B","reverse_text":"⫖↰⪸65B=(((⫖↰⪸1A55≥⨤⩑⫖↰⪸2663)≹⇙⪍(⫖↰⪸A1A⇴∐⫖↰⪸983))⨘)⨑⩅≇(⫎≠⋺(⫖↰⪸2344⋣⋖⫖↰⪸709⪛(⩏⊷≩⫖↰⪸81B)))","cot":[{"info":"⫖↰⪸1A55≥⨤⩑⫖↰⪸2663=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸A1A⇴∐⫖↰⪸983=NaN","layer":3},{"info":"⫖↰⪸86A≹⇙⪍NaN=NaN","layer":2},{"info":"NaN⨘=NaN","layer":1},{"info":"⫖↰⪸2344⋣⋖⫖↰⪸709=⫖↰⪸2344","layer":3},{"info":"⩏⊷≩⫖↰⪸81B=⫖↰⪸1229","layer":3},{"info":"⫖↰⪸2344⪛⫖↰⪸1229=⫖↰⪸1117","layer":2},{"info":"⫎≠⋺⫖↰⪸1117=⫖↰⪸0","layer":1},{"info":"NaN⨑⩅≇⫖↰⪸0=⫖↰⪸65B","layer":0}]}
{"id":404,"expression_no_base_symbol":"⩷((⨂⪏⇭$5752$⫗⊷⫓$7516$)⋹)","expression":"⩷((⨂⪏⇭⫖↰⪸33B4⫗⊷⫓⫖↰⪸4424)⋹)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":744,"operation_count":4,"complexity_ratio":186.0,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5752,"base":12},"right_expr":{"type":"numeric_atoms","value":7516,"base":12}}}}},"used_operators":["1h0rLqGiFr","opAxDRczMr","AYdpE9sXAk","zashukvMKz"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⫖↰⪸115","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5752","layer":4},{"info":"number node, value=7516","layer":4},{"info":"compute binary expreesion, left_input=5752, right_input=7516, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-1381","layer":2},{"info":"compute unary expreesion, input=-1381, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":1},{"info":"compute unary expreesion, input=-20, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=161","layer":0}],"base":12,"result_base":12,"text":"⩷((⨂⪏⇭⫖↰⪸33B4⫗⊷⫓⫖↰⪸4424)⋹)=⫖↰⪸115","reverse_text":"⫖↰⪸115=⩷((⨂⪏⇭⫖↰⪸33B4⫗⊷⫓⫖↰⪸4424)⋹)","cot":[{"info":"⫖↰⪸33B4⫗⊷⫓⫖↰⪸4424=⫖↰⪸-B2","layer":3},{"info":"⨂⪏⇭⫖↰⪸-B2=⫖↰⪸-971","layer":2},{"info":"⫖↰⪸-971⋹=⫖↰⪸-18","layer":1},{"info":"⩷⫖↰⪸-18=⫖↰⪸115","layer":0}]}
{"id":405,"expression_no_base_symbol":"(((⨰⫟⨤$1011$)∙⊟($1311$⩠))⪨⊡(⇈($6793$⨽∌$7351$)))⨂≜(($1094$⋻⩜⩜$1493$)∌↝$2023$⪃⊛⇣$4367$↬($1486$≠≀$3057$)⊕∕($1966$≄⊠$1732$))","expression":"(((⨰⫟⨤⫖↰⪸703)∙⊟(⫖↰⪸913⩠))⪨⊡(⇈(⫖↰⪸3B21⨽∌⫖↰⪸4307)))⨂≜((⫖↰⪸772⋻⩜⩜⫖↰⪸A45)∌↝⫖↰⪸1207⪃⊛⇣⫖↰⪸263B↬(⫖↰⪸A3A≠≀⫖↰⪸1929)⊕∕(⫖↰⪸117A≄⊠⫖↰⪸1004))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28542,"operation_count":14,"complexity_ratio":2038.7142857142858,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1011,"base":12}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1311,"base":12}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6793,"base":12},"right_expr":{"type":"numeric_atoms","value":7351,"base":12}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1094,"base":12},"right_expr":{"type":"numeric_atoms","value":1493,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2023,"base":12},"right_expr":{"type":"numeric_atoms","value":4367,"base":12}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1486,"base":12},"right_expr":{"type":"numeric_atoms","value":3057,"base":12}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1966,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}}}}},"used_operators":["k1SHOSEABc","kuIXHzHcAH","SxTAKzQCrw","Tw270M8GLb","sJAwomhLZr","SLLxy00UIr","9samAPKr6k","B5M0gjZbta","9Isq31Ruls","oDCm7WA9JY","rrgAzCduG9","9cloC0Ngie","IwW236VD4Y","vXNesLlMH1"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rGHVDoGpnC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=6793","layer":4},{"info":"number node, value=7351","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=7351, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=2577","layer":1},{"info":"number node, value=1094","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1493, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2188","layer":3},{"info":"number node, value=2023","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=4367, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2188, right_input=1234, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"number node, value=1486","layer":4},{"info":"number node, value=3057","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=3057, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2666","layer":3},{"info":"number node, value=1966","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1732, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=32380","layer":3},{"info":"compute binary expreesion, left_input=-2666, right_input=32380, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-2666","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2666, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-2666","layer":1},{"info":"compute binary expreesion, left_input=2577, right_input=-2666, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⨰⫟⨤⫖↰⪸703)∙⊟(⫖↰⪸913⩠))⪨⊡(⇈(⫖↰⪸3B21⨽∌⫖↰⪸4307)))⨂≜((⫖↰⪸772⋻⩜⩜⫖↰⪸A45)∌↝⫖↰⪸1207⪃⊛⇣⫖↰⪸263B↬(⫖↰⪸A3A≠≀⫖↰⪸1929)⊕∕(⫖↰⪸117A≄⊠⫖↰⪸1004))=NaN","reverse_text":"NaN=(((⨰⫟⨤⫖↰⪸703)∙⊟(⫖↰⪸913⩠))⪨⊡(⇈(⫖↰⪸3B21⨽∌⫖↰⪸4307)))⨂≜((⫖↰⪸772⋻⩜⩜⫖↰⪸A45)∌↝⫖↰⪸1207⪃⊛⇣⫖↰⪸263B↬(⫖↰⪸A3A≠≀⫖↰⪸1929)⊕∕(⫖↰⪸117A≄⊠⫖↰⪸1004))","cot":[{"info":"⨰⫟⨤⫖↰⪸703=NaN","layer":3},{"info":"⫖↰⪸913⩠=⫖↰⪸0","layer":3},{"info":"NaN∙⊟⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸3B21⨽∌⫖↰⪸4307=⫖↰⪸0","layer":3},{"info":"⇈⫖↰⪸0=⫖↰⪸-313","layer":2},{"info":"NaN⪨⊡⫖↰⪸-313=⫖↰⪸15A9","layer":1},{"info":"⫖↰⪸772⋻⩜⩜⫖↰⪸A45=⫖↰⪸1324","layer":3},{"info":"⫖↰⪸1207⪃⊛⇣⫖↰⪸263B=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1324∌↝⫖↰⪸86A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A3A≠≀⫖↰⪸1929=⫖↰⪸-1662","layer":3},{"info":"⫖↰⪸117A≄⊠⫖↰⪸1004=⫖↰⪸168A4","layer":3},{"info":"⫖↰⪸-1662⊕∕⫖↰⪸168A4=⫖↰⪸-1662","layer":2},{"info":"⫖↰⪸0↬⫖↰⪸-1662=⫖↰⪸-1662","layer":1},{"info":"⫖↰⪸15A9⨂≜⫖↰⪸-1662=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"(≛$1404$⪡$3279$)⪢(($1954$⪭≯$1562$)⇀∌)≀⩗∶(($2748$↛⩡⫤)⊍⩺⋍($1709$∪⫐$3182$))⪛⫼($5213$≭$5225$)⪟⇏(≔$2377$)","expression":"(≛⫖↰⪸990⪡⫖↰⪸1A93)⪢((⫖↰⪸116A⪭≯⫖↰⪸AA2)⇀∌)≀⩗∶((⫖↰⪸1710↛⩡⫤)⊍⩺⋍(⫖↰⪸BA5∪⫐⫖↰⪸1A12))⪛⫼(⫖↰⪸3025≭⫖↰⪸3035)⪟⇏(≔⫖↰⪸1461)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8997,"operation_count":13,"complexity_ratio":692.0769230769231,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1404,"base":12},"right_expr":{"type":"numeric_atoms","value":3279,"base":12}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1954,"base":12},"right_expr":{"type":"numeric_atoms","value":1562,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2748,"base":12}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":3182,"base":12}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5213,"base":12},"right_expr":{"type":"numeric_atoms","value":5225,"base":12}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2377,"base":12}}}}},"used_operators":["8INZBEW696","dWAJyo7jo9","W7eaUhjymW","oraRL2iQuh","2k53nXOpI5","XAx5wpdLa6","hyuBjUqXlG","OXDGMFPWZM","FU0Cs4j7VP","7YooWSwCyH","GODebY97qR","rxpJgHHUmx","8FLs4eVsLt"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","k8jYdgA6NY","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rJVOvQCfKK","2DDjHMKMc0","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","AHs5Up7iyr","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1404","layer":4},{"info":"number node, value=3279","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=3279, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=1954","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=1562, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2748","layer":4},{"info":"compute unary expreesion, input=2748, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-411037","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=3182, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1709","layer":3},{"info":"compute binary expreesion, left_input=-411037, right_input=1709, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=5213","layer":4},{"info":"number node, value=5225","layer":4},{"info":"compute binary expreesion, left_input=5213, right_input=5225, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2377","layer":4},{"info":"compute unary expreesion, input=2377, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-65262","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-65262, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≛⫖↰⪸990⪡⫖↰⪸1A93)⪢((⫖↰⪸116A⪭≯⫖↰⪸AA2)⇀∌)≀⩗∶((⫖↰⪸1710↛⩡⫤)⊍⩺⋍(⫖↰⪸BA5∪⫐⫖↰⪸1A12))⪛⫼(⫖↰⪸3025≭⫖↰⪸3035)⪟⇏(≔⫖↰⪸1461)=NaN","reverse_text":"NaN=(≛⫖↰⪸990⪡⫖↰⪸1A93)⪢((⫖↰⪸116A⪭≯⫖↰⪸AA2)⇀∌)≀⩗∶((⫖↰⪸1710↛⩡⫤)⊍⩺⋍(⫖↰⪸BA5∪⫐⫖↰⪸1A12))⪛⫼(⫖↰⪸3025≭⫖↰⪸3035)⪟⇏(≔⫖↰⪸1461)","cot":[{"info":"⫖↰⪸990⪡⫖↰⪸1A93=⫖↰⪸8B","layer":3},{"info":"≛⫖↰⪸8B=⫖↰⪸-A","layer":2},{"info":"⫖↰⪸116A⪭≯⫖↰⪸AA2=NaN","layer":3},{"info":"NaN⇀∌=NaN","layer":2},{"info":"⫖↰⪸-A⪢NaN=NaN","layer":1},{"info":"⫖↰⪸1710↛⩡⫤=⫖↰⪸-179A51","layer":3},{"info":"⫖↰⪸BA5∪⫐⫖↰⪸1A12=⫖↰⪸BA5","layer":3},{"info":"⫖↰⪸-179A51⊍⩺⋍⫖↰⪸BA5=NaN","layer":2},{"info":"⫖↰⪸3025≭⫖↰⪸3035=NaN","layer":3},{"info":"≔⫖↰⪸1461=⫖↰⪸-31926","layer":3},{"info":"NaN⪟⇏⫖↰⪸-31926=NaN","layer":2},{"info":"NaN⪛⫼NaN=NaN","layer":1},{"info":"NaN≀⩗∶NaN=NaN","layer":0}]}
{"id":407,"expression_no_base_symbol":"⊖(($3212$⋓$1497$)⪒⊣⊆$4210$⨸$1039$)⪬(⪫⨮⊛($2370$∴≳≥))","expression":"⊖((⫖↰⪸1A38⋓⫖↰⪸A49)⪒⊣⊆⫖↰⪸252A⨸⫖↰⪸727)⪬(⪫⨮⊛(⫖↰⪸1456∴≳≥))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2880101,"operation_count":7,"complexity_ratio":411443.0,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3212,"base":12},"right_expr":{"type":"numeric_atoms","value":1497,"base":12}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4210,"base":12},"right_expr":{"type":"numeric_atoms","value":1039,"base":12}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":2370,"base":12}}}}},"used_operators":["U6pG0PXrV3","Ez1Nq5fNfI","eRqsBgTDFp","T2fj7uvVaJ","KmoU8R5UQR","w5FWba1tyO","a3N2hFLK0J"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3212","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=1497, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4210","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=1039, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8420","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8420, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=16942","layer":2},{"info":"number node, value=2370","layer":4},{"info":"compute unary expreesion, input=2370, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=9480","layer":3},{"info":"compute unary expreesion, input=9480, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16942, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊖((⫖↰⪸1A38⋓⫖↰⪸A49)⪒⊣⊆⫖↰⪸252A⨸⫖↰⪸727)⪬(⪫⨮⊛(⫖↰⪸1456∴≳≥))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊖((⫖↰⪸1A38⋓⫖↰⪸A49)⪒⊣⊆⫖↰⪸252A⨸⫖↰⪸727)⪬(⪫⨮⊛(⫖↰⪸1456∴≳≥))","cot":[{"info":"⫖↰⪸1A38⋓⫖↰⪸A49=⫖↰⪸0","layer":3},{"info":"⫖↰⪸252A⨸⫖↰⪸727=⫖↰⪸4A58","layer":3},{"info":"⫖↰⪸0⪒⊣⊆⫖↰⪸4A58=⫖↰⪸997A","layer":2},{"info":"⫖↰⪸1456∴≳≥=⫖↰⪸55A0","layer":3},{"info":"⪫⨮⊛⫖↰⪸55A0=NaN","layer":2},{"info":"⫖↰⪸997A⪬NaN=⫖↰⪸86A","layer":1},{"info":"⊖⫖↰⪸86A=⫖↰⪸0","layer":0}]}
{"id":408,"expression_no_base_symbol":"(≅≯⇸($5841$⩠)⩦($5662$⫭))⊢(($2985$⩧⪆$4772$)⋣⋖($2078$⩺⪪$1064$)⋳⪒($9289$⫣⪄⊒$2625$⩢≌))","expression":"(≅≯⇸(⫖↰⪸3469⩠)⩦(⫖↰⪸333A⫭))⊢((⫖↰⪸1889⩧⪆⫖↰⪸2918)⋣⋖(⫖↰⪸1252⩺⪪⫖↰⪸748)⋳⪒(⫖↰⪸5461⫣⪄⊒⫖↰⪸1629⩢≌))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3891,"operation_count":11,"complexity_ratio":353.72727272727275,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5841,"base":12}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":5662,"base":12}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2985,"base":12},"right_expr":{"type":"numeric_atoms","value":4772,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2078,"base":12},"right_expr":{"type":"numeric_atoms","value":1064,"base":12}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":9289,"base":12},"right_expr":{"type":"numeric_atoms","value":2625,"base":12}}}}},"used_operators":["5twsqlHp2o","apS25hmuAe","0kmYd0q39Y","sJAwomhLZr","t4WUHVGj7f","12rbrZMWeM","J0M6qkBnIM","Ikt5ks8PT7","uvdQJvN4PV","D617RFjZIq","RabNbG55vr"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eewbuw0ToL","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","hTbEZDJLEm","o20kRiQErp","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫖↰⪸-903A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5841","layer":4},{"info":"compute unary expreesion, input=5841, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5662","layer":4},{"info":"compute unary expreesion, input=5662, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=17227","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=17227, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7677","layer":1},{"info":"number node, value=2985","layer":4},{"info":"number node, value=4772","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=4772, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4772","layer":3},{"info":"number node, value=2078","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=1064, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-17122","layer":3},{"info":"compute binary expreesion, left_input=-4772, right_input=-17122, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"number node, value=9289","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=9289, right_input=2625, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14262","layer":3},{"info":"compute unary expreesion, input=-14262, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=113, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1454","layer":1},{"info":"compute binary expreesion, left_input=7677, right_input=-1454, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-15598","layer":0}],"base":12,"result_base":12,"text":"(≅≯⇸(⫖↰⪸3469⩠)⩦(⫖↰⪸333A⫭))⊢((⫖↰⪸1889⩧⪆⫖↰⪸2918)⋣⋖(⫖↰⪸1252⩺⪪⫖↰⪸748)⋳⪒(⫖↰⪸5461⫣⪄⊒⫖↰⪸1629⩢≌))=⫖↰⪸-903A","reverse_text":"⫖↰⪸-903A=(≅≯⇸(⫖↰⪸3469⩠)⩦(⫖↰⪸333A⫭))⊢((⫖↰⪸1889⩧⪆⫖↰⪸2918)⋣⋖(⫖↰⪸1252⩺⪪⫖↰⪸748)⋳⪒(⫖↰⪸5461⫣⪄⊒⫖↰⪸1629⩢≌))","cot":[{"info":"⫖↰⪸3469⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸333A⫭=⫖↰⪸9B77","layer":3},{"info":"⫖↰⪸0⩦⫖↰⪸9B77=⫖↰⪸0","layer":2},{"info":"≅≯⇸⫖↰⪸0=⫖↰⪸4539","layer":1},{"info":"⫖↰⪸1889⩧⪆⫖↰⪸2918=⫖↰⪸-2918","layer":3},{"info":"⫖↰⪸1252⩺⪪⫖↰⪸748=⫖↰⪸-9AAA","layer":3},{"info":"⫖↰⪸-2918⋣⋖⫖↰⪸-9AAA=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸5461⫣⪄⊒⫖↰⪸1629=⫖↰⪸-8306","layer":3},{"info":"⫖↰⪸-8306⩢≌=⫖↰⪸95","layer":2},{"info":"⫖↰⪸-37B⋳⪒⫖↰⪸95=⫖↰⪸-A12","layer":1},{"info":"⫖↰⪸4539⊢⫖↰⪸-A12=⫖↰⪸-903A","layer":0}]}
{"id":409,"expression_no_base_symbol":"(⪹(⨝⨆$2350$))∳⫺(($1382$⩘⨬⇊)⨽$4350$↬$3936$)⨎(≅≯⇸$1322$∀⇚≩$1501$)∥⊢⊲((⨡↴$1293$)⊍⩺⋍$7315$⪨⊡$3440$)","expression":"(⪹(⨝⨆⫖↰⪸143A))∳⫺((⫖↰⪸972⩘⨬⇊)⨽⫖↰⪸2626↬⫖↰⪸2340)⨎(≅≯⇸⫖↰⪸922∀⇚≩⫖↰⪸A51)∥⊢⊲((⨡↴⫖↰⪸8B9)⊍⩺⋍⫖↰⪸4297⪨⊡⫖↰⪸1BA8)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11208,"operation_count":13,"complexity_ratio":862.1538461538462,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2350,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1382,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4350,"base":12},"right_expr":{"type":"numeric_atoms","value":3936,"base":12}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1322,"base":12},"right_expr":{"type":"numeric_atoms","value":1501,"base":12}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1293,"base":12}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":7315,"base":12},"right_expr":{"type":"numeric_atoms","value":3440,"base":12}}}}},"used_operators":["rJVOvQCfKK","AzXXKTstlj","USyYr0JgAa","bQ67fsrMVf","8HhzD0ZcuI","XXmTpEpWTW","B5M0gjZbta","v1UQAVDJRr","apS25hmuAe","LRNGc0VcxI","OXDGMFPWZM","liw5iZPkLH","kuIXHzHcAH"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","tifHPKVTfV","tifHPKVTfV","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","rGHVDoGpnC","EBcxylXtPf","rGHVDoGpnC","EBcxylXtPf","QMFrweE19q","X99M06cbEe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","P8v4zCKN1o","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2350","layer":4},{"info":"compute unary expreesion, input=2350, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2141","layer":3},{"info":"compute unary expreesion, input=2141, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1961","layer":2},{"info":"number node, value=1382","layer":4},{"info":"compute unary expreesion, input=1382, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=4350","layer":4},{"info":"number node, value=3936","layer":4},{"info":"compute binary expreesion, left_input=4350, right_input=3936, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1961, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1322","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1501, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":2},{"info":"number node, value=1293","layer":4},{"info":"compute unary expreesion, input=1293, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2342","layer":3},{"info":"number node, value=7315","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=7315, right_input=3440, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2342, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, 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":12,"result_base":12,"text":"(⪹(⨝⨆⫖↰⪸143A))∳⫺((⫖↰⪸972⩘⨬⇊)⨽⫖↰⪸2626↬⫖↰⪸2340)⨎(≅≯⇸⫖↰⪸922∀⇚≩⫖↰⪸A51)∥⊢⊲((⨡↴⫖↰⪸8B9)⊍⩺⋍⫖↰⪸4297⪨⊡⫖↰⪸1BA8)=NaN","reverse_text":"NaN=(⪹(⨝⨆⫖↰⪸143A))∳⫺((⫖↰⪸972⩘⨬⇊)⨽⫖↰⪸2626↬⫖↰⪸2340)⨎(≅≯⇸⫖↰⪸922∀⇚≩⫖↰⪸A51)∥⊢⊲((⨡↴⫖↰⪸8B9)⊍⩺⋍⫖↰⪸4297⪨⊡⫖↰⪸1BA8)","cot":[{"info":"⨝⨆⫖↰⪸143A=⫖↰⪸12A5","layer":3},{"info":"⪹⫖↰⪸12A5=⫖↰⪸-1175","layer":2},{"info":"⫖↰⪸972⩘⨬⇊=NaN","layer":3},{"info":"⫖↰⪸2626↬⫖↰⪸2340=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⫖↰⪸-1175∳⫺NaN=⫖↰⪸-198","layer":1},{"info":"⫖↰⪸922∀⇚≩⫖↰⪸A51=NaN","layer":3},{"info":"≅≯⇸NaN=NaN","layer":2},{"info":"⨡↴⫖↰⪸8B9=⫖↰⪸1432","layer":3},{"info":"⫖↰⪸4297⪨⊡⫖↰⪸1BA8=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1432⊍⩺⋍⫖↰⪸0=NaN","layer":2},{"info":"NaN∥⊢⊲NaN=NaN","layer":1},{"info":"⫖↰⪸-198⨎NaN=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"(($3094$⨻⩈⩔$3911$)⊝⪿⪼($1149$⋆⋳)⊨(⇠$4737$)⩦($4013$⫒⫫$4975$))↤⩊((⇋⊎⋝$5207$)≦↸$2292$⊮⊟↴$2598$∇⊂⋱($4214$∋$2134$⊊))","expression":"((⫖↰⪸195A⨻⩈⩔⫖↰⪸231B)⊝⪿⪼(⫖↰⪸7B9⋆⋳)⊨(⇠⫖↰⪸28A9)⩦(⫖↰⪸23A5⫒⫫⫖↰⪸2A67))↤⩊((⇋⊎⋝⫖↰⪸301B)≦↸⫖↰⪸13B0⊮⊟↴⫖↰⪸1606∇⊂⋱(⫖↰⪸2532∋⫖↰⪸129A⊊))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5989,"operation_count":14,"complexity_ratio":427.7857142857143,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3094,"base":12},"right_expr":{"type":"numeric_atoms","value":3911,"base":12}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1149,"base":12}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4737,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4013,"base":12},"right_expr":{"type":"numeric_atoms","value":4975,"base":12}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":5207,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2292,"base":12},"right_expr":{"type":"numeric_atoms","value":2598,"base":12}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4214,"base":12},"right_expr":{"type":"numeric_atoms","value":2134,"base":12}}}}},"used_operators":["13rbtpv6ld","vg4gO5BX6G","3Oe9XWJUTD","nEsXyWgiOK","6MpZysEj17","0kmYd0q39Y","18saOjeKKm","6Ko8hGgeMq","nhYeJWJD5X","RygbFNSyEJ","CzM2PEoXns","QDVgd2eftb","W9R8I5fN5A","ukq6epAj5P"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","dWAJyo7jo9","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3094","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=3911, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=16351","layer":3},{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2330","layer":3},{"info":"compute binary expreesion, left_input=16351, right_input=-2330, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=227067","layer":2},{"info":"number node, value=4737","layer":4},{"info":"compute unary expreesion, input=4737, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4495","layer":3},{"info":"number node, value=4013","layer":4},{"info":"number node, value=4975","layer":4},{"info":"compute binary expreesion, left_input=4013, right_input=4975, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4495, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=227067, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=909299","layer":1},{"info":"number node, value=5207","layer":4},{"info":"compute unary expreesion, input=5207, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=2598, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"number node, value=4214","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=2134, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4587104","layer":3},{"info":"compute unary expreesion, input=4587104, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=90927, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=909299, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸195A⨻⩈⩔⫖↰⪸231B)⊝⪿⪼(⫖↰⪸7B9⋆⋳)⊨(⇠⫖↰⪸28A9)⩦(⫖↰⪸23A5⫒⫫⫖↰⪸2A67))↤⩊((⇋⊎⋝⫖↰⪸301B)≦↸⫖↰⪸13B0⊮⊟↴⫖↰⪸1606∇⊂⋱(⫖↰⪸2532∋⫖↰⪸129A⊊))=NaN","reverse_text":"NaN=((⫖↰⪸195A⨻⩈⩔⫖↰⪸231B)⊝⪿⪼(⫖↰⪸7B9⋆⋳)⊨(⇠⫖↰⪸28A9)⩦(⫖↰⪸23A5⫒⫫⫖↰⪸2A67))↤⩊((⇋⊎⋝⫖↰⪸301B)≦↸⫖↰⪸13B0⊮⊟↴⫖↰⪸1606∇⊂⋱(⫖↰⪸2532∋⫖↰⪸129A⊊))","cot":[{"info":"⫖↰⪸195A⨻⩈⩔⫖↰⪸231B=⫖↰⪸9567","layer":3},{"info":"⫖↰⪸7B9⋆⋳=⫖↰⪸-1422","layer":3},{"info":"⫖↰⪸9567⊝⪿⪼⫖↰⪸-1422=⫖↰⪸AB4A3","layer":2},{"info":"⇠⫖↰⪸28A9=⫖↰⪸-2727","layer":3},{"info":"⫖↰⪸23A5⫒⫫⫖↰⪸2A67=NaN","layer":3},{"info":"⫖↰⪸-2727⩦NaN=NaN","layer":2},{"info":"⫖↰⪸AB4A3⊨NaN=⫖↰⪸37A26B","layer":1},{"info":"⇋⊎⋝⫖↰⪸301B=NaN","layer":3},{"info":"⫖↰⪸13B0⊮⊟↴⫖↰⪸1606=⫖↰⪸0","layer":3},{"info":"NaN≦↸⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸2532∋⫖↰⪸129A=⫖↰⪸16526A8","layer":3},{"info":"⫖↰⪸16526A8⊊=⫖↰⪸44753","layer":2},{"info":"NaN∇⊂⋱⫖↰⪸44753=NaN","layer":1},{"info":"⫖↰⪸37A26B↤⩊NaN=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"⊲⪭(($4233$⫃⨇$1232$)↢($3780$%$2385$)⩚⊴⇥($2555$⫠)∥⊢⊲(⊄⩳↩$3982$))","expression":"⊲⪭((⫖↰⪸2549⫃⨇⫖↰⪸868)↢(⫖↰⪸2230%⫖↰⪸1469)⩚⊴⇥(⫖↰⪸158B⫠)∥⊢⊲(⊄⩳↩⫖↰⪸237A))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35838,"operation_count":8,"complexity_ratio":4479.75,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4233,"base":12},"right_expr":{"type":"numeric_atoms","value":1232,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3780,"base":12},"right_expr":{"type":"numeric_atoms","value":2385,"base":12}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2555,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3982,"base":12}}}}},"used_operators":["k7HXdKtiEU","NTOWxs364D","WR6HLWljOP","09Ly4LVMIf","k8jYdgA6NY","v1UQAVDJRr","6SnOT2rOjz","8w2t5hMYqp"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","EBcxylXtPf","rGHVDoGpnC","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4233","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=4233, right_input=1232, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4960","layer":3},{"info":"number node, value=3780","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=3780, right_input=2385, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1395","layer":3},{"info":"compute binary expreesion, left_input=-4960, right_input=1395, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-7130","layer":2},{"info":"number node, value=2555","layer":4},{"info":"compute unary expreesion, input=2555, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=3982","layer":4},{"info":"compute unary expreesion, input=3982, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11946","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11946, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7130, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊲⪭((⫖↰⪸2549⫃⨇⫖↰⪸868)↢(⫖↰⪸2230%⫖↰⪸1469)⩚⊴⇥(⫖↰⪸158B⫠)∥⊢⊲(⊄⩳↩⫖↰⪸237A))=NaN","reverse_text":"NaN=⊲⪭((⫖↰⪸2549⫃⨇⫖↰⪸868)↢(⫖↰⪸2230%⫖↰⪸1469)⩚⊴⇥(⫖↰⪸158B⫠)∥⊢⊲(⊄⩳↩⫖↰⪸237A))","cot":[{"info":"⫖↰⪸2549⫃⨇⫖↰⪸868=⫖↰⪸-2A54","layer":3},{"info":"⫖↰⪸2230%⫖↰⪸1469=⫖↰⪸983","layer":3},{"info":"⫖↰⪸-2A54↢⫖↰⪸983=⫖↰⪸-4162","layer":2},{"info":"⫖↰⪸158B⫠=⫖↰⪸0","layer":3},{"info":"⊄⩳↩⫖↰⪸237A=⫖↰⪸-6AB6","layer":3},{"info":"⫖↰⪸0∥⊢⊲⫖↰⪸-6AB6=NaN","layer":2},{"info":"⫖↰⪸-4162⩚⊴⇥NaN=NaN","layer":1},{"info":"⊲⪭NaN=NaN","layer":0}]}
{"id":412,"expression_no_base_symbol":"(⪫⨮⊛($3833$⨫⇇↔$1413$))↓(⋗⩴⪓($3573$/$3777$))∸","expression":"(⪫⨮⊛(⫖↰⪸2275⨫⇇↔⫖↰⪸999))↓(⋗⩴⪓(⫖↰⪸2099/⫖↰⪸2229))∸","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13319,"operation_count":6,"complexity_ratio":2219.8333333333335,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3833,"base":12},"right_expr":{"type":"numeric_atoms","value":1413,"base":12}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3573,"base":12},"right_expr":{"type":"numeric_atoms","value":3777,"base":12}}}}},"used_operators":["o20kRiQErp","Af076pWI7l","w5FWba1tyO","LXhwmt4mBO","nOKPl9n5zu","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z"],"result":"⫖↰⪸129","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3833","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=1413, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-527","layer":2},{"info":"number node, value=3573","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=3573, right_input=3777, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=913, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":12,"result_base":12,"text":"(⪫⨮⊛(⫖↰⪸2275⨫⇇↔⫖↰⪸999))↓(⋗⩴⪓(⫖↰⪸2099/⫖↰⪸2229))∸=⫖↰⪸129","reverse_text":"⫖↰⪸129=(⪫⨮⊛(⫖↰⪸2275⨫⇇↔⫖↰⪸999))↓(⋗⩴⪓(⫖↰⪸2099/⫖↰⪸2229))∸","cot":[{"info":"⫖↰⪸2275⨫⇇↔⫖↰⪸999=⫖↰⪸-37B","layer":3},{"info":"⪫⨮⊛⫖↰⪸-37B=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸2099/⫖↰⪸2229=⫖↰⪸0","layer":3},{"info":"⋗⩴⪓⫖↰⪸0=⫖↰⪸641","layer":2},{"info":"⫖↰⪸-37B↓⫖↰⪸641=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸-B2∸=⫖↰⪸129","layer":0}]}
{"id":413,"expression_no_base_symbol":"(≸≮(⇵⪽($4337$∀⊥⇻)))⊔($2081$⨿$1747$⇌⫙⪟($6547$⪕$1543$)⪁(⋎⨆$1840$≝⊿$1177$))","expression":"(≸≮(⇵⪽(⫖↰⪸2615∀⊥⇻)))⊔(⫖↰⪸1255⨿⫖↰⪸1017⇌⫙⪟(⫖↰⪸3957⪕⫖↰⪸A87)⪁(⋎⨆⫖↰⪸1094≝⊿⫖↰⪸821))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8321478,"operation_count":10,"complexity_ratio":832147.8,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":4337,"base":12}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2081,"base":12},"right_expr":{"type":"numeric_atoms","value":1747,"base":12}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6547,"base":12},"right_expr":{"type":"numeric_atoms","value":1543,"base":12}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1840,"base":12},"right_expr":{"type":"numeric_atoms","value":1177,"base":12}}}}},"used_operators":["E4l6HwMY31","AljMvE3RRm","ZGCBLdVRRX","k4iM1060OG","I7sXao9hZE","AFVx7xoS7T","abYXlopdE0","umQnsF7QlU","E64sFOc4tB","OKKcZfAt5B"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","U7g4x0WXJJ","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4337","layer":4},{"info":"compute unary expreesion, input=4337, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":1},{"info":"number node, value=2081","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1747, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=6547","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=6547, right_input=1543, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=12452","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=12452, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=1840","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=1177, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4727","layer":3},{"info":"compute unary expreesion, input=-4727, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=8320752, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-262, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≸≮(⇵⪽(⫖↰⪸2615∀⊥⇻)))⊔(⫖↰⪸1255⨿⫖↰⪸1017⇌⫙⪟(⫖↰⪸3957⪕⫖↰⪸A87)⪁(⋎⨆⫖↰⪸1094≝⊿⫖↰⪸821))=NaN","reverse_text":"NaN=(≸≮(⇵⪽(⫖↰⪸2615∀⊥⇻)))⊔(⫖↰⪸1255⨿⫖↰⪸1017⇌⫙⪟(⫖↰⪸3957⪕⫖↰⪸A87)⪁(⋎⨆⫖↰⪸1094≝⊿⫖↰⪸821))","cot":[{"info":"⫖↰⪸2615∀⊥⇻=⫖↰⪸0","layer":3},{"info":"⇵⪽⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"≸≮⫖↰⪸0=⫖↰⪸-19A","layer":1},{"info":"⫖↰⪸1255⨿⫖↰⪸1017=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸3957⪕⫖↰⪸A87=⫖↰⪸7258","layer":3},{"info":"⫖↰⪸-227⇌⫙⪟⫖↰⪸7258=⫖↰⪸95","layer":2},{"info":"⫖↰⪸1094≝⊿⫖↰⪸821=⫖↰⪸-289B","layer":3},{"info":"⋎⨆⫖↰⪸-289B=⫖↰⪸2953300","layer":2},{"info":"⫖↰⪸95⪁⫖↰⪸2953300=NaN","layer":1},{"info":"⫖↰⪸-19A⊔NaN=NaN","layer":0}]}
{"id":414,"expression_no_base_symbol":"(($5555$⩁⩘$4057$)⫘(⪝⪂⫅$3762$))↤⩊($1126$≦↸$2864$∕⩚$6732$⩷∴$4741$)⫃⨇(⫵↿(($1680$⪨≂$1587$)≥⨤⩑($9229$⨳⩥⨓$5969$)))","expression":"((⫖↰⪸326B⩁⩘⫖↰⪸2421)⫘(⪝⪂⫅⫖↰⪸2216))↤⩊(⫖↰⪸79A≦↸⫖↰⪸17A8∕⩚⫖↰⪸3A90⩷∴⫖↰⪸28B1)⫃⨇(⫵↿((⫖↰⪸B80⪨≂⫖↰⪸B03)≥⨤⩑(⫖↰⪸5411⨳⩥⨓⫖↰⪸3555)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":70793,"operation_count":12,"complexity_ratio":5899.416666666667,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5555,"base":12},"right_expr":{"type":"numeric_atoms","value":4057,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3762,"base":12}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1126,"base":12},"right_expr":{"type":"numeric_atoms","value":2864,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6732,"base":12},"right_expr":{"type":"numeric_atoms","value":4741,"base":12}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1680,"base":12},"right_expr":{"type":"numeric_atoms","value":1587,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":9229,"base":12},"right_expr":{"type":"numeric_atoms","value":5969,"base":12}}}}},"used_operators":["09Ly4LVMIf","13rbtpv6ld","48vC8HMD2b","gub5Cegaqo","XTarYq4gQB","z9ffQ9n5Zr","RygbFNSyEJ","9FxExcQeMw","ivGwdmUAux","gJLn6v0xnP","sdazOOVcIp","nCS4ZIUYfx"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DpFCA1CohY","IWmyXbctLI","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5555","layer":4},{"info":"number node, value=4057","layer":4},{"info":"compute binary expreesion, left_input=5555, right_input=4057, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17176","layer":3},{"info":"number node, value=3762","layer":4},{"info":"compute unary expreesion, input=3762, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-553014","layer":3},{"info":"compute binary expreesion, left_input=17176, right_input=-553014, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=20203381","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2864, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7299","layer":3},{"info":"number node, value=6732","layer":4},{"info":"number node, value=4741","layer":4},{"info":"compute binary expreesion, left_input=6732, right_input=4741, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3950","layer":3},{"info":"compute binary expreesion, left_input=-7299, right_input=3950, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-7302","layer":2},{"info":"compute binary expreesion, left_input=20203381, right_input=-7302, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=1680","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=1587, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=288","layer":3},{"info":"number node, value=9229","layer":4},{"info":"number node, value=5969","layer":4},{"info":"compute binary expreesion, left_input=9229, right_input=5969, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3260","layer":3},{"info":"compute binary expreesion, left_input=288, right_input=-3260, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=576","layer":2},{"info":"compute unary expreesion, input=576, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸326B⩁⩘⫖↰⪸2421)⫘(⪝⪂⫅⫖↰⪸2216))↤⩊(⫖↰⪸79A≦↸⫖↰⪸17A8∕⩚⫖↰⪸3A90⩷∴⫖↰⪸28B1)⫃⨇(⫵↿((⫖↰⪸B80⪨≂⫖↰⪸B03)≥⨤⩑(⫖↰⪸5411⨳⩥⨓⫖↰⪸3555)))=NaN","reverse_text":"NaN=((⫖↰⪸326B⩁⩘⫖↰⪸2421)⫘(⪝⪂⫅⫖↰⪸2216))↤⩊(⫖↰⪸79A≦↸⫖↰⪸17A8∕⩚⫖↰⪸3A90⩷∴⫖↰⪸28B1)⫃⨇(⫵↿((⫖↰⪸B80⪨≂⫖↰⪸B03)≥⨤⩑(⫖↰⪸5411⨳⩥⨓⫖↰⪸3555)))","cot":[{"info":"⫖↰⪸326B⩁⩘⫖↰⪸2421=⫖↰⪸9B34","layer":3},{"info":"⪝⪂⫅⫖↰⪸2216=⫖↰⪸-228046","layer":3},{"info":"⫖↰⪸9B34⫘⫖↰⪸-228046=⫖↰⪸6923931","layer":2},{"info":"⫖↰⪸79A≦↸⫖↰⪸17A8=⫖↰⪸-4283","layer":3},{"info":"⫖↰⪸3A90⩷∴⫖↰⪸28B1=⫖↰⪸2352","layer":3},{"info":"⫖↰⪸-4283∕⩚⫖↰⪸2352=⫖↰⪸-4286","layer":2},{"info":"⫖↰⪸6923931↤⩊⫖↰⪸-4286=NaN","layer":1},{"info":"⫖↰⪸B80⪨≂⫖↰⪸B03=⫖↰⪸200","layer":3},{"info":"⫖↰⪸5411⨳⩥⨓⫖↰⪸3555=⫖↰⪸-1A78","layer":3},{"info":"⫖↰⪸200≥⨤⩑⫖↰⪸-1A78=⫖↰⪸400","layer":2},{"info":"⫵↿⫖↰⪸400=⫖↰⪸B5","layer":1},{"info":"NaN⫃⨇⫖↰⪸B5=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"(⇋↷(($1223$≬⋮$2538$)⫥∨⫟$2473$⩌⋺$4636$))≎⊠⪸(⩒∊($5303$⪪$5850$/$1895$↢$1054$))","expression":"(⇋↷((⫖↰⪸85B≬⋮⫖↰⪸1576)⫥∨⫟⫖↰⪸1521⩌⋺⫖↰⪸2824))≎⊠⪸(⩒∊(⫖↰⪸309B⪪⫖↰⪸3476/⫖↰⪸111B↢⫖↰⪸73A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16824,"operation_count":9,"complexity_ratio":1869.3333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1223,"base":12},"right_expr":{"type":"numeric_atoms","value":2538,"base":12}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2473,"base":12},"right_expr":{"type":"numeric_atoms","value":4636,"base":12}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5303,"base":12},"right_expr":{"type":"numeric_atoms","value":5850,"base":12}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1895,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}}}}},"used_operators":["bJkvcejdHO","SWo3A1KBJH","KYD54nUTWz","kbkesczE7y","g7Hmc5v1ko","qazvmhNBbN","XhwjNDsVaA","xD69zh8xqp","WR6HLWljOP"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1223","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=2538, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2473","layer":4},{"info":"number node, value=4636","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=4636, 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=-7230","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-7230, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":1},{"info":"number node, value=5303","layer":4},{"info":"number node, value=5850","layer":4},{"info":"compute binary expreesion, left_input=5303, right_input=5850, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-796842","layer":3},{"info":"number node, value=1895","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=1054, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1411","layer":3},{"info":"compute binary expreesion, left_input=-796842, right_input=1411, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-565","layer":2},{"info":"compute unary expreesion, input=-565, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-2968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2968, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⇋↷((⫖↰⪸85B≬⋮⫖↰⪸1576)⫥∨⫟⫖↰⪸1521⩌⋺⫖↰⪸2824))≎⊠⪸(⩒∊(⫖↰⪸309B⪪⫖↰⪸3476/⫖↰⪸111B↢⫖↰⪸73A))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⇋↷((⫖↰⪸85B≬⋮⫖↰⪸1576)⫥∨⫟⫖↰⪸1521⩌⋺⫖↰⪸2824))≎⊠⪸(⩒∊(⫖↰⪸309B⪪⫖↰⪸3476/⫖↰⪸111B↢⫖↰⪸73A))","cot":[{"info":"⫖↰⪸85B≬⋮⫖↰⪸1576=⫖↰⪸604","layer":3},{"info":"⫖↰⪸1521⩌⋺⫖↰⪸2824=⫖↰⪸-4226","layer":3},{"info":"⫖↰⪸604⫥∨⫟⫖↰⪸-4226=NaN","layer":2},{"info":"⇋↷NaN=NaN","layer":1},{"info":"⫖↰⪸309B⪪⫖↰⪸3476=⫖↰⪸-325176","layer":3},{"info":"⫖↰⪸111B↢⫖↰⪸73A=⫖↰⪸997","layer":3},{"info":"⫖↰⪸-325176/⫖↰⪸997=⫖↰⪸-3B1","layer":2},{"info":"⩒∊⫖↰⪸-3B1=⫖↰⪸-1874","layer":1},{"info":"NaN≎⊠⪸⫖↰⪸-1874=⫖↰⪸57","layer":0}]}
{"id":416,"expression_no_base_symbol":"(($1210$⨚$6077$)⫉⨲⊜($3862$≠≀$4761$)⩍⋽⫝̸(⪨⨬($2607$⪒⊣⊆$2785$)))⨎⋸⪻","expression":"((⫖↰⪸84A⨚⫖↰⪸3625)⫉⨲⊜(⫖↰⪸229A≠≀⫖↰⪸2909)⩍⋽⫝̸(⪨⨬(⫖↰⪸1613⪒⊣⊆⫖↰⪸1741)))⨎⋸⪻","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":73,"operation_count":7,"complexity_ratio":10.428571428571429,"tree":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":6077,"base":12}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3862,"base":12},"right_expr":{"type":"numeric_atoms","value":4761,"base":12}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2607,"base":12},"right_expr":{"type":"numeric_atoms","value":2785,"base":12}}}}},"used_operators":["Dk5vyLCiGd","BiWNJpBvwn","WhqkvtTD3t","nREPSIbpBE","IwW236VD4Y","5obUd6DV38","eRqsBgTDFp"],"dependent_operators":["IWmyXbctLI","Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","zVYPLywUTj","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","T2fj7uvVaJ","nlCqmYiOvY","sdazOOVcIp","W4YGzv6Whe"],"result":"⫖↰⪸75B8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":4},{"info":"number node, value=6077","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=6077, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-20954","layer":3},{"info":"number node, value=3862","layer":4},{"info":"number node, value=4761","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=4761, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7418","layer":3},{"info":"compute binary expreesion, left_input=-20954, right_input=-7418, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-7528","layer":2},{"info":"number node, value=2607","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=2785, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5214","layer":3},{"info":"compute unary expreesion, input=5214, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-7528, right_input=-526, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6320","layer":1},{"info":"compute unary expreesion, input=6320, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=12956","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸84A⨚⫖↰⪸3625)⫉⨲⊜(⫖↰⪸229A≠≀⫖↰⪸2909)⩍⋽⫝̸(⪨⨬(⫖↰⪸1613⪒⊣⊆⫖↰⪸1741)))⨎⋸⪻=⫖↰⪸75B8","reverse_text":"⫖↰⪸75B8=((⫖↰⪸84A⨚⫖↰⪸3625)⫉⨲⊜(⫖↰⪸229A≠≀⫖↰⪸2909)⩍⋽⫝̸(⪨⨬(⫖↰⪸1613⪒⊣⊆⫖↰⪸1741)))⨎⋸⪻","cot":[{"info":"⫖↰⪸84A⨚⫖↰⪸3625=⫖↰⪸-10162","layer":3},{"info":"⫖↰⪸229A≠≀⫖↰⪸2909=⫖↰⪸-4362","layer":3},{"info":"⫖↰⪸-10162⫉⨲⊜⫖↰⪸-4362=⫖↰⪸-4434","layer":2},{"info":"⫖↰⪸1613⪒⊣⊆⫖↰⪸1741=⫖↰⪸3026","layer":3},{"info":"⪨⨬⫖↰⪸3026=⫖↰⪸-37A","layer":2},{"info":"⫖↰⪸-4434⩍⋽⫝̸⫖↰⪸-37A=⫖↰⪸37A8","layer":1},{"info":"⫖↰⪸37A8⨎⋸⪻=⫖↰⪸75B8","layer":0}]}
{"id":417,"expression_no_base_symbol":"(($4858$⊹∫⫚$1124$)→⨶⪴$1645$∋$7552$⫭)⨽(($3710$⇮⋭$1009$)⨸(⇋↷$5799$)⩹($5839$≳⇉$2570$)⫗⊷⫓($8627$⨒$5124$))","expression":"((⫖↰⪸298A⊹∫⫚⫖↰⪸798)→⨶⪴⫖↰⪸B51∋⫖↰⪸4454⫭)⨽((⫖↰⪸2192⇮⋭⫖↰⪸701)⨸(⇋↷⫖↰⪸3433)⩹(⫖↰⪸3467≳⇉⫖↰⪸15A2)⫗⊷⫓(⫖↰⪸4BAB⨒⫖↰⪸2B70))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":261863855,"operation_count":12,"complexity_ratio":21821987.916666668,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4858,"base":12},"right_expr":{"type":"numeric_atoms","value":1124,"base":12}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1645,"base":12},"right_expr":{"type":"numeric_atoms","value":7552,"base":12}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3710,"base":12},"right_expr":{"type":"numeric_atoms","value":1009,"base":12}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":5799,"base":12}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5839,"base":12},"right_expr":{"type":"numeric_atoms","value":2570,"base":12}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":8627,"base":12},"right_expr":{"type":"numeric_atoms","value":5124,"base":12}}}}},"used_operators":["8HhzD0ZcuI","t4WUHVGj7f","bF6eod5Gvf","uWAJUKEvyW","ukq6epAj5P","2Wsdkap16l","KmoU8R5UQR","vkpjKywKVM","SWo3A1KBJH","zashukvMKz","V0kx6qeWkN","y75s1iXyHd"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","8w2t5hMYqp","9FxExcQeMw","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4858","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=4858, right_input=1124, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-256","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=7552","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=7552, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=15679612","layer":3},{"info":"compute binary expreesion, left_input=-256, right_input=15679612, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-47038836","layer":2},{"info":"compute unary expreesion, input=-47038836, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-141116267","layer":1},{"info":"number node, value=3710","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=1009, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=5799","layer":4},{"info":"compute unary expreesion, input=5799, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=46392","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=46392, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=946","layer":2},{"info":"number node, value=5839","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=5839, right_input=2570, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=8627","layer":4},{"info":"number node, value=5124","layer":4},{"info":"compute binary expreesion, left_input=8627, right_input=5124, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-51390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-51390, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=946, right_input=-134, 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=-136","layer":1},{"info":"compute binary expreesion, left_input=-141116267, right_input=-136, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸298A⊹∫⫚⫖↰⪸798)→⨶⪴⫖↰⪸B51∋⫖↰⪸4454⫭)⨽((⫖↰⪸2192⇮⋭⫖↰⪸701)⨸(⇋↷⫖↰⪸3433)⩹(⫖↰⪸3467≳⇉⫖↰⪸15A2)⫗⊷⫓(⫖↰⪸4BAB⨒⫖↰⪸2B70))=-Inf","reverse_text":"-Inf=((⫖↰⪸298A⊹∫⫚⫖↰⪸798)→⨶⪴⫖↰⪸B51∋⫖↰⪸4454⫭)⨽((⫖↰⪸2192⇮⋭⫖↰⪸701)⨸(⇋↷⫖↰⪸3433)⩹(⫖↰⪸3467≳⇉⫖↰⪸15A2)⫗⊷⫓(⫖↰⪸4BAB⨒⫖↰⪸2B70))","cot":[{"info":"⫖↰⪸298A⊹∫⫚⫖↰⪸798=⫖↰⪸-194","layer":3},{"info":"⫖↰⪸B51∋⫖↰⪸4454=⫖↰⪸5301A24","layer":3},{"info":"⫖↰⪸-194→⨶⪴⫖↰⪸5301A24=⫖↰⪸-13905670","layer":2},{"info":"⫖↰⪸-13905670⫭=⫖↰⪸-3B31460B","layer":1},{"info":"⫖↰⪸2192⇮⋭⫖↰⪸701=⫖↰⪸-335","layer":3},{"info":"⇋↷⫖↰⪸3433=⫖↰⪸22A20","layer":3},{"info":"⫖↰⪸-335⨸⫖↰⪸22A20=⫖↰⪸66A","layer":2},{"info":"⫖↰⪸3467≳⇉⫖↰⪸15A2=NaN","layer":3},{"info":"⫖↰⪸4BAB⨒⫖↰⪸2B70=⫖↰⪸-258A6","layer":3},{"info":"NaN⫗⊷⫓⫖↰⪸-258A6=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸66A⩹⫖↰⪸-B2=⫖↰⪸-B4","layer":1},{"info":"⫖↰⪸-3B31460B⨽⫖↰⪸-B4=-Inf","layer":0}]}
{"id":418,"expression_no_base_symbol":"(⪓⩚(≱⇩⩕$2282$))⩌⋺(⨦⪝($3452$⪪$1647$))⩌⋺(($1756$⪔$1506$↱(⩩$5600$))∣(⨆≐≲($1269$⊨$4490$)))","expression":"(⪓⩚(≱⇩⩕⫖↰⪸13A2))⩌⋺(⨦⪝(⫖↰⪸1BB8⪪⫖↰⪸B53))⩌⋺((⫖↰⪸1024⪔⫖↰⪸A56↱(⩩⫖↰⪸32A8))∣(⨆≐≲(⫖↰⪸899⊨⫖↰⪸2722)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22241,"operation_count":12,"complexity_ratio":1853.4166666666667,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2282,"base":12}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3452,"base":12},"right_expr":{"type":"numeric_atoms","value":1647,"base":12}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1756,"base":12},"right_expr":{"type":"numeric_atoms","value":1506,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":5600,"base":12}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1269,"base":12},"right_expr":{"type":"numeric_atoms","value":4490,"base":12}}}}},"used_operators":["g7Hmc5v1ko","u0R0Locfp2","3DZMoQKiUl","SUjycxNXIR","xD69zh8xqp","PPChnnnBFF","SR5kFfdi6N","GjBEYRfMaF","kMhfGuqI2H","Bi9z9uYZqW","vg4gO5BX6G"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2282","layer":4},{"info":"compute unary expreesion, input=2282, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=3452","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=1647, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-517341","layer":3},{"info":"compute unary expreesion, input=-517341, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=-1884, 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=1337","layer":1},{"info":"number node, value=1756","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=1506, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5600","layer":4},{"info":"compute unary expreesion, input=5600, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=4490, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6107","layer":3},{"info":"compute unary expreesion, input=6107, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=66501528","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=66501528, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1337, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪓⩚(≱⇩⩕⫖↰⪸13A2))⩌⋺(⨦⪝(⫖↰⪸1BB8⪪⫖↰⪸B53))⩌⋺((⫖↰⪸1024⪔⫖↰⪸A56↱(⩩⫖↰⪸32A8))∣(⨆≐≲(⫖↰⪸899⊨⫖↰⪸2722)))=NaN","reverse_text":"NaN=(⪓⩚(≱⇩⩕⫖↰⪸13A2))⩌⋺(⨦⪝(⫖↰⪸1BB8⪪⫖↰⪸B53))⩌⋺((⫖↰⪸1024⪔⫖↰⪸A56↱(⩩⫖↰⪸32A8))∣(⨆≐≲(⫖↰⪸899⊨⫖↰⪸2722)))","cot":[{"info":"≱⇩⩕⫖↰⪸13A2=⫖↰⪸95","layer":3},{"info":"⪓⩚⫖↰⪸95=⫖↰⪸2B6","layer":2},{"info":"⫖↰⪸1BB8⪪⫖↰⪸B53=⫖↰⪸-20B479","layer":3},{"info":"⨦⪝⫖↰⪸-20B479=⫖↰⪸-1110","layer":2},{"info":"⫖↰⪸2B6⩌⋺⫖↰⪸-1110=⫖↰⪸935","layer":1},{"info":"⫖↰⪸1024⪔⫖↰⪸A56=⫖↰⪸316","layer":3},{"info":"⩩⫖↰⪸32A8=NaN","layer":3},{"info":"⫖↰⪸316↱NaN=NaN","layer":2},{"info":"⫖↰⪸899⊨⫖↰⪸2722=⫖↰⪸364B","layer":3},{"info":"⨆≐≲⫖↰⪸364B=⫖↰⪸1A330820","layer":2},{"info":"NaN∣⫖↰⪸1A330820=NaN","layer":1},{"info":"⫖↰⪸935⩌⋺NaN=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"(⨆≐≲($1615$⪛$1573$⊾⪯⋞$2239$⇍⊗$5141$))⫰⋱(≅≯⇸(⨰⫟⨤$3712$∀⇚≩$6979$))","expression":"(⨆≐≲(⫖↰⪸B27⪛⫖↰⪸AB1⊾⪯⋞⫖↰⪸1367⇍⊗⫖↰⪸2B85))⫰⋱(≅≯⇸(⨰⫟⨤⫖↰⪸2194∀⇚≩⫖↰⪸4057))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26245,"operation_count":8,"complexity_ratio":3280.625,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1615,"base":12},"right_expr":{"type":"numeric_atoms","value":1573,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2239,"base":12},"right_expr":{"type":"numeric_atoms","value":5141,"base":12}}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3712,"base":12},"right_expr":{"type":"numeric_atoms","value":6979,"base":12}}}}},"used_operators":["6o9Blt3TJ6","Bi9z9uYZqW","HK0tfVPux8","uFcxV4UQCh","5uvYHDjeKN","apS25hmuAe","Tw270M8GLb","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1615","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1573, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=42","layer":3},{"info":"number node, value=2239","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=5141, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=42, right_input=-244, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute unary expreesion, input=-820, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"number node, value=3712","layer":4},{"info":"number node, value=6979","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=6979, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨆≐≲(⫖↰⪸B27⪛⫖↰⪸AB1⊾⪯⋞⫖↰⪸1367⇍⊗⫖↰⪸2B85))⫰⋱(≅≯⇸(⨰⫟⨤⫖↰⪸2194∀⇚≩⫖↰⪸4057))=NaN","reverse_text":"NaN=(⨆≐≲(⫖↰⪸B27⪛⫖↰⪸AB1⊾⪯⋞⫖↰⪸1367⇍⊗⫖↰⪸2B85))⫰⋱(≅≯⇸(⨰⫟⨤⫖↰⪸2194∀⇚≩⫖↰⪸4057))","cot":[{"info":"⫖↰⪸B27⪛⫖↰⪸AB1=⫖↰⪸36","layer":3},{"info":"⫖↰⪸1367⇍⊗⫖↰⪸2B85=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸36⊾⪯⋞⫖↰⪸-184=⫖↰⪸-584","layer":2},{"info":"⨆≐≲⫖↰⪸-584=⫖↰⪸-81658","layer":1},{"info":"⫖↰⪸2194∀⇚≩⫖↰⪸4057=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"≅≯⇸NaN=NaN","layer":1},{"info":"⫖↰⪸-81658⫰⋱NaN=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"(($1090$⨒$1728$)⇆⨓≜)⊮⊟↴(($1196$⪒⊣⊆$1861$)⪗)⪪(((↘$2505$)↦)⨪↰⇹($2379$∺≝⩲$2399$)⇡⇂($6544$∼$3959$))","expression":"((⫖↰⪸76A⨒⫖↰⪸1000)⇆⨓≜)⊮⊟↴((⫖↰⪸838⪒⊣⊆⫖↰⪸10B1)⪗)⪪(((↘⫖↰⪸1549)↦)⨪↰⇹(⫖↰⪸1463∺≝⩲⫖↰⪸147B)⇡⇂(⫖↰⪸3954∼⫖↰⪸235B))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30113,"operation_count":12,"complexity_ratio":2509.4166666666665,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1090,"base":12},"right_expr":{"type":"numeric_atoms","value":1728,"base":12}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1196,"base":12},"right_expr":{"type":"numeric_atoms","value":1861,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2505,"base":12}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2379,"base":12},"right_expr":{"type":"numeric_atoms","value":2399,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6544,"base":12},"right_expr":{"type":"numeric_atoms","value":3959,"base":12}}}}},"used_operators":["xD69zh8xqp","QDVgd2eftb","KvvgdUaMHJ","y75s1iXyHd","VEQNXA0ZBg","eRqsBgTDFp","tmPS8pqC7x","fFznvYxMfW","LdNpr8hQHL","UMwdvZNt44","KPf6cnQVty","DyGG3AbaNP"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Uaa54Peajs","KYD54nUTWz","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","dWAJyo7jo9","sdazOOVcIp","W4YGzv6Whe","rJVOvQCfKK","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","uFcxV4UQCh","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1728, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6168","layer":3},{"info":"compute unary expreesion, input=-6168, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1861, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2392","layer":3},{"info":"compute unary expreesion, input=2392, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=2505","layer":4},{"info":"compute unary expreesion, input=2505, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=153","layer":3},{"info":"compute unary expreesion, input=153, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":2},{"info":"number node, value=2379","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=2399, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=6544","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=6544, right_input=3959, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-163","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-163, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸76A⨒⫖↰⪸1000)⇆⨓≜)⊮⊟↴((⫖↰⪸838⪒⊣⊆⫖↰⪸10B1)⪗)⪪(((↘⫖↰⪸1549)↦)⨪↰⇹(⫖↰⪸1463∺≝⩲⫖↰⪸147B)⇡⇂(⫖↰⪸3954∼⫖↰⪸235B))=NaN","reverse_text":"NaN=((⫖↰⪸76A⨒⫖↰⪸1000)⇆⨓≜)⊮⊟↴((⫖↰⪸838⪒⊣⊆⫖↰⪸10B1)⪗)⪪(((↘⫖↰⪸1549)↦)⨪↰⇹(⫖↰⪸1463∺≝⩲⫖↰⪸147B)⇡⇂(⫖↰⪸3954∼⫖↰⪸235B))","cot":[{"info":"⫖↰⪸76A⨒⫖↰⪸1000=⫖↰⪸-36A0","layer":3},{"info":"⫖↰⪸-36A0⇆⨓≜=NaN","layer":2},{"info":"⫖↰⪸838⪒⊣⊆⫖↰⪸10B1=⫖↰⪸1474","layer":3},{"info":"⫖↰⪸1474⪗=NaN","layer":2},{"info":"NaN⊮⊟↴NaN=NaN","layer":1},{"info":"↘⫖↰⪸1549=⫖↰⪸109","layer":3},{"info":"⫖↰⪸109↦=NaN","layer":2},{"info":"⫖↰⪸1463∺≝⩲⫖↰⪸147B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3954∼⫖↰⪸235B=NaN","layer":3},{"info":"⫖↰⪸114⇡⇂NaN=⫖↰⪸-117","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸-117=NaN","layer":1},{"info":"NaN⪪NaN=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"$2244$⇡⇂$3389$∋($2019$*$2748$)⋝⋈⪟($6675$⇼⇔∾$4274$)⊴$1888$≎⪠$1087$⪭≯(($1273$⇴$4444$)⊝⪿⪼(⫟$5617$)⇐≅)","expression":"⫖↰⪸1370⇡⇂⫖↰⪸1B65∋(⫖↰⪸1203*⫖↰⪸1710)⋝⋈⪟(⫖↰⪸3A43⇼⇔∾⫖↰⪸2582)⊴⫖↰⪸1114≎⪠⫖↰⪸767⪭≯((⫖↰⪸8A1⇴⫖↰⪸26A4)⊝⪿⪼(⫟⫖↰⪸3301)⇐≅)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":57825,"operation_count":12,"complexity_ratio":4818.75,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2244,"base":12},"right_expr":{"type":"numeric_atoms","value":3389,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2019,"base":12},"right_expr":{"type":"numeric_atoms","value":2748,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6675,"base":12},"right_expr":{"type":"numeric_atoms","value":4274,"base":12}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1888,"base":12},"right_expr":{"type":"numeric_atoms","value":1087,"base":12}}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1273,"base":12},"right_expr":{"type":"numeric_atoms","value":4444,"base":12}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5617,"base":12}}}}},"used_operators":["XAx5wpdLa6","2DDjHMKMc0","ukq6epAj5P","UMwdvZNt44","9HNa5Wba9A","Nsiff2A1zJ","tifHPKVTfV","aNhz54LH3e","wEfv7U73WA","3Oe9XWJUTD","4JB6nKBMSY","z4E1FaHLuy"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2244","layer":4},{"info":"number node, value=3389","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=3389, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=2019","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=2748, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5548212","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5548212, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"number node, value=6675","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=6675, right_input=4274, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2401","layer":3},{"info":"number node, value=1888","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1888, right_input=1087, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-2401, right_input=19558, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1273","layer":4},{"info":"number node, value=4444","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=4444, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16140","layer":3},{"info":"number node, value=5617","layer":4},{"info":"compute unary expreesion, input=5617, 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=-15944","layer":3},{"info":"compute binary expreesion, left_input=16140, right_input=-15944, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=251552","layer":2},{"info":"compute unary expreesion, input=251552, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=754624","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=754624, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸1370⇡⇂⫖↰⪸1B65∋(⫖↰⪸1203*⫖↰⪸1710)⋝⋈⪟(⫖↰⪸3A43⇼⇔∾⫖↰⪸2582)⊴⫖↰⪸1114≎⪠⫖↰⪸767⪭≯((⫖↰⪸8A1⇴⫖↰⪸26A4)⊝⪿⪼(⫟⫖↰⪸3301)⇐≅)=NaN","reverse_text":"NaN=⫖↰⪸1370⇡⇂⫖↰⪸1B65∋(⫖↰⪸1203*⫖↰⪸1710)⋝⋈⪟(⫖↰⪸3A43⇼⇔∾⫖↰⪸2582)⊴⫖↰⪸1114≎⪠⫖↰⪸767⪭≯((⫖↰⪸8A1⇴⫖↰⪸26A4)⊝⪿⪼(⫟⫖↰⪸3301)⇐≅)","cot":[{"info":"⫖↰⪸1370⇡⇂⫖↰⪸1B65=NaN","layer":3},{"info":"⫖↰⪸1203*⫖↰⪸1710=⫖↰⪸1A36930","layer":3},{"info":"NaN∋⫖↰⪸1A36930=NaN","layer":2},{"info":"⫖↰⪸3A43⇼⇔∾⫖↰⪸2582=⫖↰⪸-1481","layer":3},{"info":"⫖↰⪸1114≎⪠⫖↰⪸767=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸-1481⊴⫖↰⪸B39A=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⫖↰⪸8A1⇴⫖↰⪸26A4=⫖↰⪸9410","layer":3},{"info":"⫟⫖↰⪸3301=⫖↰⪸-9288","layer":3},{"info":"⫖↰⪸9410⊝⪿⪼⫖↰⪸-9288=⫖↰⪸1016A8","layer":2},{"info":"⫖↰⪸1016A8⇐≅=⫖↰⪸304854","layer":1},{"info":"NaN⪭≯⫖↰⪸304854=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"(($4302$⪒$4039$)⨳⩥⨓($3816$∪⫐$1066$)⫡⨏(≻⋜$2527$)⩨$3167$⇡⇂$3501$)⇄(($1117$↦)⊝⪿⪼($5126$⨐⩸⫘$3462$))+⪬∐((⨑⩽⪐$5007$)⊝⪿⪼($3196$⫳≱↱$4870$))","expression":"((⫖↰⪸25A6⪒⫖↰⪸2407)⨳⩥⨓(⫖↰⪸2260∪⫐⫖↰⪸74A)⫡⨏(≻⋜⫖↰⪸1567)⩨⫖↰⪸19BB⇡⇂⫖↰⪸2039)⇄((⫖↰⪸791↦)⊝⪿⪼(⫖↰⪸2B72⨐⩸⫘⫖↰⪸2006))+⪬∐((⨑⩽⪐⫖↰⪸2A93)⊝⪿⪼(⫖↰⪸1A24⫳≱↱⫖↰⪸299A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":257753,"operation_count":15,"complexity_ratio":17183.533333333333,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4302,"base":12},"right_expr":{"type":"numeric_atoms","value":4039,"base":12}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3816,"base":12},"right_expr":{"type":"numeric_atoms","value":1066,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2527,"base":12}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3167,"base":12},"right_expr":{"type":"numeric_atoms","value":3501,"base":12}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1117,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5126,"base":12},"right_expr":{"type":"numeric_atoms","value":3462,"base":12}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5007,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3196,"base":12},"right_expr":{"type":"numeric_atoms","value":4870,"base":12}}}}},"used_operators":["3EYGwJThht","QMFrweE19q","nCS4ZIUYfx","f6k1SAg4EE","7YooWSwCyH","2DlMacCsIx","3tj9sqzovi","UMwdvZNt44","2GS7woTJqF","3Oe9XWJUTD","fFznvYxMfW","fu6greOZ01","AF7qkfDlqP","ZvLB05nZmT"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4302","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=4039, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8341","layer":3},{"info":"number node, value=3816","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=1066, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3816","layer":3},{"info":"compute binary expreesion, left_input=-8341, right_input=3816, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=12157","layer":2},{"info":"number node, value=2527","layer":4},{"info":"compute unary expreesion, input=2527, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=3167","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=3501, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12157, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"number node, value=5126","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=5126, right_input=3462, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"number node, value=5007","layer":4},{"info":"compute unary expreesion, input=5007, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4734","layer":3},{"info":"number node, value=3196","layer":4},{"info":"number node, value=4870","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=4870, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-4734, right_input=-204, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-61078","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-61078, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸25A6⪒⫖↰⪸2407)⨳⩥⨓(⫖↰⪸2260∪⫐⫖↰⪸74A)⫡⨏(≻⋜⫖↰⪸1567)⩨⫖↰⪸19BB⇡⇂⫖↰⪸2039)⇄((⫖↰⪸791↦)⊝⪿⪼(⫖↰⪸2B72⨐⩸⫘⫖↰⪸2006))+⪬∐((⨑⩽⪐⫖↰⪸2A93)⊝⪿⪼(⫖↰⪸1A24⫳≱↱⫖↰⪸299A))=NaN","reverse_text":"NaN=((⫖↰⪸25A6⪒⫖↰⪸2407)⨳⩥⨓(⫖↰⪸2260∪⫐⫖↰⪸74A)⫡⨏(≻⋜⫖↰⪸1567)⩨⫖↰⪸19BB⇡⇂⫖↰⪸2039)⇄((⫖↰⪸791↦)⊝⪿⪼(⫖↰⪸2B72⨐⩸⫘⫖↰⪸2006))+⪬∐((⨑⩽⪐⫖↰⪸2A93)⊝⪿⪼(⫖↰⪸1A24⫳≱↱⫖↰⪸299A))","cot":[{"info":"⫖↰⪸25A6⪒⫖↰⪸2407=⫖↰⪸-49B1","layer":3},{"info":"⫖↰⪸2260∪⫐⫖↰⪸74A=⫖↰⪸2260","layer":3},{"info":"⫖↰⪸-49B1⨳⩥⨓⫖↰⪸2260=⫖↰⪸7051","layer":2},{"info":"≻⋜⫖↰⪸1567=NaN","layer":3},{"info":"⫖↰⪸19BB⇡⇂⫖↰⪸2039=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⫖↰⪸7051⫡⨏NaN=NaN","layer":1},{"info":"⫖↰⪸791↦=NaN","layer":3},{"info":"⫖↰⪸2B72⨐⩸⫘⫖↰⪸2006=NaN","layer":3},{"info":"NaN⊝⪿⪼NaN=NaN","layer":2},{"info":"⨑⩽⪐⫖↰⪸2A93=⫖↰⪸-28A6","layer":3},{"info":"⫖↰⪸1A24⫳≱↱⫖↰⪸299A=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸-28A6⊝⪿⪼⫖↰⪸-150=⫖↰⪸-2B41A","layer":2},{"info":"NaN+⪬∐⫖↰⪸-2B41A=NaN","layer":1},{"info":"NaN⇄NaN=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"((⨈⪑$5976$≠≀$5695$)⨎($2000$⋕⪉⪜$1349$⋖∅⋲))↓(($6879$∪⫐$3018$)⩧⪆$1200$⋣⋖$3568$⪒($2741$⫉⨲⊜$7638$)↹⊜($6837$⩍⋽⫝̸$1829$))","expression":"((⨈⪑⫖↰⪸3560≠≀⫖↰⪸3367)⨎(⫖↰⪸11A8⋕⪉⪜⫖↰⪸945⋖∅⋲))↓((⫖↰⪸3B93∪⫐⫖↰⪸18B6)⩧⪆⫖↰⪸840⋣⋖⫖↰⪸2094⪒(⫖↰⪸1705⫉⨲⊜⫖↰⪸4506)↹⊜(⫖↰⪸3B59⩍⋽⫝̸⫖↰⪸1085))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":117683,"operation_count":13,"complexity_ratio":9052.538461538461,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5976,"base":12},"right_expr":{"type":"numeric_atoms","value":5695,"base":12}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2000,"base":12},"right_expr":{"type":"numeric_atoms","value":1349,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6879,"base":12},"right_expr":{"type":"numeric_atoms","value":3018,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1200,"base":12},"right_expr":{"type":"numeric_atoms","value":3568,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2741,"base":12},"right_expr":{"type":"numeric_atoms","value":7638,"base":12}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":6837,"base":12},"right_expr":{"type":"numeric_atoms","value":1829,"base":12}}}}},"used_operators":["Af076pWI7l","rJVOvQCfKK","mp94q5OcYM","IwW236VD4Y","L95AwlJzhO","z6LnFrNh4i","f6k1SAg4EE","Ikt5ks8PT7","7YooWSwCyH","J0M6qkBnIM","9bazX3JMtO","WhqkvtTD3t","BiWNJpBvwn"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eewbuw0ToL","zVYPLywUTj","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5976","layer":4},{"info":"number node, value=5695","layer":4},{"info":"compute binary expreesion, left_input=5976, right_input=5695, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11646","layer":3},{"info":"compute unary expreesion, input=-11646, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=2000","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=1349, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-384231, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-384231","layer":1},{"info":"number node, value=6879","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=6879, right_input=3018, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6879","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=3568","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=3568, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1200","layer":3},{"info":"compute binary expreesion, left_input=6879, right_input=1200, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1200","layer":2},{"info":"number node, value=2741","layer":4},{"info":"number node, value=7638","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=7638, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=6837","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=6837, right_input=1829, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=883","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=883, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7160","layer":2},{"info":"compute binary expreesion, left_input=-1200, right_input=-7160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8360","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=8360, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":12,"result_base":12,"text":"((⨈⪑⫖↰⪸3560≠≀⫖↰⪸3367)⨎(⫖↰⪸11A8⋕⪉⪜⫖↰⪸945⋖∅⋲))↓((⫖↰⪸3B93∪⫐⫖↰⪸18B6)⩧⪆⫖↰⪸840⋣⋖⫖↰⪸2094⪒(⫖↰⪸1705⫉⨲⊜⫖↰⪸4506)↹⊜(⫖↰⪸3B59⩍⋽⫝̸⫖↰⪸1085))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=((⨈⪑⫖↰⪸3560≠≀⫖↰⪸3367)⨎(⫖↰⪸11A8⋕⪉⪜⫖↰⪸945⋖∅⋲))↓((⫖↰⪸3B93∪⫐⫖↰⪸18B6)⩧⪆⫖↰⪸840⋣⋖⫖↰⪸2094⪒(⫖↰⪸1705⫉⨲⊜⫖↰⪸4506)↹⊜(⫖↰⪸3B59⩍⋽⫝̸⫖↰⪸1085))","cot":[{"info":"⫖↰⪸3560≠≀⫖↰⪸3367=⫖↰⪸-68A6","layer":3},{"info":"⨈⪑⫖↰⪸-68A6=⫖↰⪸604","layer":2},{"info":"⫖↰⪸11A8⋕⪉⪜⫖↰⪸945=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸1756⋖∅⋲=⫖↰⪸-166433","layer":2},{"info":"⫖↰⪸604⨎⫖↰⪸-166433=⫖↰⪸-166433","layer":1},{"info":"⫖↰⪸3B93∪⫐⫖↰⪸18B6=⫖↰⪸3B93","layer":3},{"info":"⫖↰⪸840⋣⋖⫖↰⪸2094=⫖↰⪸840","layer":3},{"info":"⫖↰⪸3B93⩧⪆⫖↰⪸840=⫖↰⪸-840","layer":2},{"info":"⫖↰⪸1705⫉⨲⊜⫖↰⪸4506=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3B59⩍⋽⫝̸⫖↰⪸1085=⫖↰⪸617","layer":3},{"info":"⫖↰⪸0↹⊜⫖↰⪸617=⫖↰⪸-4188","layer":2},{"info":"⫖↰⪸-840⪒⫖↰⪸-4188=⫖↰⪸4A08","layer":1},{"info":"⫖↰⪸-166433↓⫖↰⪸4A08=⫖↰⪸-B2","layer":0}]}
{"id":424,"expression_no_base_symbol":"(($2182$⨭⪣$7274$)⪚(⪭⩑⪱$3720$)∀⇚≩($6099$≓∲$5203$⊉≛↸$1744$∴$1038$))⊢((↓⇌($3516$⨓$3863$))⪄(⫟$2241$≄⊠$2007$))","expression":"((⫖↰⪸131A⨭⪣⫖↰⪸4262)⪚(⪭⩑⪱⫖↰⪸21A0)∀⇚≩(⫖↰⪸3643≓∲⫖↰⪸3017⊉≛↸⫖↰⪸1014∴⫖↰⪸726))⊢((↓⇌(⫖↰⪸2050⨓⫖↰⪸229B))⪄(⫟⫖↰⪸1369≄⊠⫖↰⪸11B3))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":116092,"operation_count":13,"complexity_ratio":8930.153846153846,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2182,"base":12},"right_expr":{"type":"numeric_atoms","value":7274,"base":12}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3720,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6099,"base":12},"right_expr":{"type":"numeric_atoms","value":5203,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1744,"base":12},"right_expr":{"type":"numeric_atoms","value":1038,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3516,"base":12},"right_expr":{"type":"numeric_atoms","value":3863,"base":12}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2241,"base":12},"right_expr":{"type":"numeric_atoms","value":2007,"base":12}}}}},"used_operators":["5twsqlHp2o","LRNGc0VcxI","HrjLwUk87U","kn8WO9XteQ","SIgE0bArFf","DZ8iAZOCBD","s1XTVnmDOJ","hrf7POJlIJ","SUmda5xLS4","PxpmPgHHJV","3ViojmjbAp","z4E1FaHLuy","vXNesLlMH1"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2182","layer":4},{"info":"number node, value=7274","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=7274, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=903","layer":3},{"info":"number node, value=3720","layer":4},{"info":"compute unary expreesion, input=3720, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=903, right_input=8320752, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-16640054","layer":2},{"info":"number node, value=6099","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=6099, right_input=5203, 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=61773","layer":3},{"info":"number node, value=1744","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=1038, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5136","layer":3},{"info":"compute binary expreesion, left_input=61773, right_input=5136, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=123546","layer":2},{"info":"compute binary expreesion, left_input=-16640054, right_input=123546, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3516","layer":4},{"info":"number node, value=3863","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=3863, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3866","layer":3},{"info":"compute unary expreesion, input=-3866, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-7732","layer":2},{"info":"number node, value=2241","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=2007, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=36780","layer":3},{"info":"compute unary expreesion, input=36780, 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=-109433","layer":2},{"info":"compute binary expreesion, left_input=-7732, right_input=-109433, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸131A⨭⪣⫖↰⪸4262)⪚(⪭⩑⪱⫖↰⪸21A0)∀⇚≩(⫖↰⪸3643≓∲⫖↰⪸3017⊉≛↸⫖↰⪸1014∴⫖↰⪸726))⊢((↓⇌(⫖↰⪸2050⨓⫖↰⪸229B))⪄(⫟⫖↰⪸1369≄⊠⫖↰⪸11B3))=NaN","reverse_text":"NaN=((⫖↰⪸131A⨭⪣⫖↰⪸4262)⪚(⪭⩑⪱⫖↰⪸21A0)∀⇚≩(⫖↰⪸3643≓∲⫖↰⪸3017⊉≛↸⫖↰⪸1014∴⫖↰⪸726))⊢((↓⇌(⫖↰⪸2050⨓⫖↰⪸229B))⪄(⫟⫖↰⪸1369≄⊠⫖↰⪸11B3))","cot":[{"info":"⫖↰⪸131A⨭⪣⫖↰⪸4262=⫖↰⪸633","layer":3},{"info":"⪭⩑⪱⫖↰⪸21A0=⫖↰⪸2953300","layer":3},{"info":"⫖↰⪸633⪚⫖↰⪸2953300=⫖↰⪸-56A57B2","layer":2},{"info":"⫖↰⪸3643≓∲⫖↰⪸3017=⫖↰⪸2B8B9","layer":3},{"info":"⫖↰⪸1014∴⫖↰⪸726=⫖↰⪸2B80","layer":3},{"info":"⫖↰⪸2B8B9⊉≛↸⫖↰⪸2B80=⫖↰⪸5B5B6","layer":2},{"info":"⫖↰⪸-56A57B2∀⇚≩⫖↰⪸5B5B6=NaN","layer":1},{"info":"⫖↰⪸2050⨓⫖↰⪸229B=⫖↰⪸-22A2","layer":3},{"info":"↓⇌⫖↰⪸-22A2=⫖↰⪸-4584","layer":2},{"info":"⫖↰⪸1369≄⊠⫖↰⪸11B3=⫖↰⪸19350","layer":3},{"info":"⫟⫖↰⪸19350=⫖↰⪸-533B5","layer":2},{"info":"⫖↰⪸-4584⪄⫖↰⪸-533B5=⫖↰⪸2377","layer":1},{"info":"NaN⊢⫖↰⪸2377=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"(($4804$⨭⪣$2719$)⪬($3217$⪚$5718$)∁)⨐(((⫖→$4466$)⪶≀⋏($2249$⇣⩺⋵$4279$))≝⊿(∡$1146$⊲⩕⊾$3708$))","expression":"((⫖↰⪸2944⨭⪣⫖↰⪸16A7)⪬(⫖↰⪸1A41⪚⫖↰⪸3386)∁)⨐(((⫖→⫖↰⪸2702)⪶≀⋏(⫖↰⪸1375⇣⩺⋵⫖↰⪸2587))≝⊿(∡⫖↰⪸7B6⊲⩕⊾⫖↰⪸2190))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5413,"operation_count":11,"complexity_ratio":492.09090909090907,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4804,"base":12},"right_expr":{"type":"numeric_atoms","value":2719,"base":12}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3217,"base":12},"right_expr":{"type":"numeric_atoms","value":5718,"base":12}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":4466,"base":12}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2249,"base":12},"right_expr":{"type":"numeric_atoms","value":4279,"base":12}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1146,"base":12},"right_expr":{"type":"numeric_atoms","value":3708,"base":12}}}}},"used_operators":["Noe24qw2ks","jdwGQqwJi5","Ez1Nq5fNfI","kn8WO9XteQ","HrjLwUk87U","OKKcZfAt5B","zR4jO40bMj","U4ylXWHChL","F4yD0voBRQ","pRsWfj4Fpp","DmTXOeWf9t"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","2DDjHMKMc0","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⫖↰⪸-1518","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4804","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=4804, right_input=2719, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3525","layer":3},{"info":"number node, value=3217","layer":4},{"info":"number node, value=5718","layer":4},{"info":"compute binary expreesion, left_input=3217, right_input=5718, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5358","layer":3},{"info":"compute binary expreesion, left_input=3525, right_input=-5358, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1234","layer":1},{"info":"number node, value=4466","layer":4},{"info":"compute unary expreesion, input=4466, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=2249","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=4279, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-260, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-2080","layer":2},{"info":"number node, value=1146","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=3708, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-52046","layer":3},{"info":"compute unary expreesion, input=-52046, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=312276","layer":2},{"info":"compute binary expreesion, left_input=-2080, right_input=312276, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-623005","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-623005, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2468","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2944⨭⪣⫖↰⪸16A7)⪬(⫖↰⪸1A41⪚⫖↰⪸3386)∁)⨐(((⫖→⫖↰⪸2702)⪶≀⋏(⫖↰⪸1375⇣⩺⋵⫖↰⪸2587))≝⊿(∡⫖↰⪸7B6⊲⩕⊾⫖↰⪸2190))=⫖↰⪸-1518","reverse_text":"⫖↰⪸-1518=((⫖↰⪸2944⨭⪣⫖↰⪸16A7)⪬(⫖↰⪸1A41⪚⫖↰⪸3386)∁)⨐(((⫖→⫖↰⪸2702)⪶≀⋏(⫖↰⪸1375⇣⩺⋵⫖↰⪸2587))≝⊿(∡⫖↰⪸7B6⊲⩕⊾⫖↰⪸2190))","cot":[{"info":"⫖↰⪸2944⨭⪣⫖↰⪸16A7=⫖↰⪸2059","layer":3},{"info":"⫖↰⪸1A41⪚⫖↰⪸3386=⫖↰⪸-3126","layer":3},{"info":"⫖↰⪸2059⪬⫖↰⪸-3126=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸86A∁=⫖↰⪸86A","layer":1},{"info":"⫖→⫖↰⪸2702=⫖↰⪸129","layer":3},{"info":"⫖↰⪸1375⇣⩺⋵⫖↰⪸2587=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸129⪶≀⋏⫖↰⪸-198=⫖↰⪸-1254","layer":2},{"info":"⫖↰⪸7B6⊲⩕⊾⫖↰⪸2190=⫖↰⪸-26152","layer":3},{"info":"∡⫖↰⪸-26152=⫖↰⪸130870","layer":2},{"info":"⫖↰⪸-1254≝⊿⫖↰⪸130870=⫖↰⪸-260651","layer":1},{"info":"⫖↰⪸86A⨐⫖↰⪸-260651=⫖↰⪸-1518","layer":0}]}
{"id":426,"expression_no_base_symbol":"((⊀$1599$)⪒⊣⊆(⨝⨆$3527$))≁($2957$≚⊃≕$2663$⪭≯($3190$⋻⩜⩜$1999$))⊍⩺⋍$5839$⋥⋵⩄$1970$≎⊠⪸$1176$≀⫉$1731$⇄($1815$⊲⩕⊾$1482$)⋕⪉⪜($1503$⨎$1878$)","expression":"((⊀⫖↰⪸B13)⪒⊣⊆(⨝⨆⫖↰⪸205B))≁(⫖↰⪸1865≚⊃≕⫖↰⪸165B⪭≯(⫖↰⪸1A1A⋻⩜⩜⫖↰⪸11A7))⊍⩺⋍⫖↰⪸3467⋥⋵⩄⫖↰⪸1182≎⊠⪸⫖↰⪸820≀⫉⫖↰⪸1003⇄(⫖↰⪸1073⊲⩕⊾⫖↰⪸A36)⋕⪉⪜(⫖↰⪸A53⨎⫖↰⪸1106)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28853,"operation_count":15,"complexity_ratio":1923.5333333333333,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1599,"base":12}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":3527,"base":12}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2957,"base":12},"right_expr":{"type":"numeric_atoms","value":2663,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3190,"base":12},"right_expr":{"type":"numeric_atoms","value":1999,"base":12}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5839,"base":12},"right_expr":{"type":"numeric_atoms","value":1970,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1176,"base":12},"right_expr":{"type":"numeric_atoms","value":1731,"base":12}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1815,"base":12},"right_expr":{"type":"numeric_atoms","value":1482,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1503,"base":12},"right_expr":{"type":"numeric_atoms","value":1878,"base":12}}}}},"used_operators":["OXDGMFPWZM","8N2wDY1A35","eRqsBgTDFp","oPMjh9089D","bQ67fsrMVf","XAx5wpdLa6","Bmrmz2XGnR","oDCm7WA9JY","3EYGwJThht","bJkvcejdHO","7t3wd0Fuz7","oZj3VtZNQx","z6LnFrNh4i","DmTXOeWf9t","rJVOvQCfKK"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","sdazOOVcIp","W4YGzv6Whe","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","tifHPKVTfV","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":4},{"info":"compute unary expreesion, input=1599, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6134","layer":3},{"info":"number node, value=3527","layer":4},{"info":"compute unary expreesion, input=3527, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3318","layer":3},{"info":"compute binary expreesion, left_input=6134, right_input=3318, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=12268","layer":2},{"info":"number node, value=2957","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=2663, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=3190","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=1999, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6380","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=6380, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12268, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=5839","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=5839, right_input=1970, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1176","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1731, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=2822, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=28794","layer":2},{"info":"number node, value=1815","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1482, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-40490","layer":3},{"info":"number node, value=1503","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=1878, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1878","layer":3},{"info":"compute binary expreesion, left_input=-40490, right_input=1878, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=28794, right_input=204, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊀⫖↰⪸B13)⪒⊣⊆(⨝⨆⫖↰⪸205B))≁(⫖↰⪸1865≚⊃≕⫖↰⪸165B⪭≯(⫖↰⪸1A1A⋻⩜⩜⫖↰⪸11A7))⊍⩺⋍⫖↰⪸3467⋥⋵⩄⫖↰⪸1182≎⊠⪸⫖↰⪸820≀⫉⫖↰⪸1003⇄(⫖↰⪸1073⊲⩕⊾⫖↰⪸A36)⋕⪉⪜(⫖↰⪸A53⨎⫖↰⪸1106)=NaN","reverse_text":"NaN=((⊀⫖↰⪸B13)⪒⊣⊆(⨝⨆⫖↰⪸205B))≁(⫖↰⪸1865≚⊃≕⫖↰⪸165B⪭≯(⫖↰⪸1A1A⋻⩜⩜⫖↰⪸11A7))⊍⩺⋍⫖↰⪸3467⋥⋵⩄⫖↰⪸1182≎⊠⪸⫖↰⪸820≀⫉⫖↰⪸1003⇄(⫖↰⪸1073⊲⩕⊾⫖↰⪸A36)⋕⪉⪜(⫖↰⪸A53⨎⫖↰⪸1106)","cot":[{"info":"⊀⫖↰⪸B13=⫖↰⪸3672","layer":3},{"info":"⨝⨆⫖↰⪸205B=⫖↰⪸1B06","layer":3},{"info":"⫖↰⪸3672⪒⊣⊆⫖↰⪸1B06=⫖↰⪸7124","layer":2},{"info":"⫖↰⪸1865≚⊃≕⫖↰⪸165B=⫖↰⪸57","layer":3},{"info":"⫖↰⪸1A1A⋻⩜⩜⫖↰⪸11A7=⫖↰⪸3838","layer":3},{"info":"⫖↰⪸57⪭≯⫖↰⪸3838=NaN","layer":2},{"info":"⫖↰⪸7124≁NaN=NaN","layer":1},{"info":"⫖↰⪸3467⋥⋵⩄⫖↰⪸1182=⫖↰⪸95","layer":3},{"info":"⫖↰⪸820≀⫉⫖↰⪸1003=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸95≎⊠⪸⫖↰⪸1772=⫖↰⪸147B6","layer":2},{"info":"⫖↰⪸1073⊲⩕⊾⫖↰⪸A36=⫖↰⪸-1B522","layer":3},{"info":"⫖↰⪸A53⨎⫖↰⪸1106=⫖↰⪸1106","layer":3},{"info":"⫖↰⪸-1B522⋕⪉⪜⫖↰⪸1106=⫖↰⪸150","layer":2},{"info":"⫖↰⪸147B6⇄⫖↰⪸150=⫖↰⪸0","layer":1},{"info":"NaN⊍⩺⋍⫖↰⪸0=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"⩩(⊿$1711$⪘⫢$6158$)≁↽≥($1196$∴$1113$⫥∨⫟$2014$⊮⊟↴$1441$)","expression":"⩩(⊿⫖↰⪸BA7⪘⫢⫖↰⪸3692)≁↽≥(⫖↰⪸838∴⫖↰⪸789⫥∨⫟⫖↰⪸11BA⊮⊟↴⫖↰⪸A01)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1207,"operation_count":7,"complexity_ratio":172.42857142857142,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1711,"base":12},"right_expr":{"type":"numeric_atoms","value":6158,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1196,"base":12},"right_expr":{"type":"numeric_atoms","value":1113,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2014,"base":12},"right_expr":{"type":"numeric_atoms","value":1441,"base":12}}}}},"used_operators":["kMhfGuqI2H","ncHt1X6cMc","DO4fhlbJSI","oacrs7FA3X","KYD54nUTWz","hrf7POJlIJ","QDVgd2eftb"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"number node, value=6158","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=6158, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3298","layer":3},{"info":"compute unary expreesion, input=3298, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-13930","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1113, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4040","layer":3},{"info":"number node, value=2014","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=1441, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4040, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13930, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩩(⊿⫖↰⪸BA7⪘⫢⫖↰⪸3692)≁↽≥(⫖↰⪸838∴⫖↰⪸789⫥∨⫟⫖↰⪸11BA⊮⊟↴⫖↰⪸A01)=NaN","reverse_text":"NaN=⩩(⊿⫖↰⪸BA7⪘⫢⫖↰⪸3692)≁↽≥(⫖↰⪸838∴⫖↰⪸789⫥∨⫟⫖↰⪸11BA⊮⊟↴⫖↰⪸A01)","cot":[{"info":"⫖↰⪸BA7⪘⫢⫖↰⪸3692=⫖↰⪸1AAA","layer":3},{"info":"⊿⫖↰⪸1AAA=⫖↰⪸-808A","layer":2},{"info":"⫖↰⪸838∴⫖↰⪸789=⫖↰⪸2408","layer":3},{"info":"⫖↰⪸11BA⊮⊟↴⫖↰⪸A01=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2408⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-808A≁↽≥NaN=NaN","layer":1},{"info":"⩩NaN=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"(($1789$⪡$2845$)≄⊠($3974$⪁$1356$))≝⊿($3335$≹⇙⪍$1130$⨵⪆$3522$≁↽≥$1117$)⊉≛↸(⫟(⫛⫱⨽$1204$)∷$5349$⇣⩺⋵$3273$)","expression":"((⫖↰⪸1051⪡⫖↰⪸1791)≄⊠(⫖↰⪸2372⪁⫖↰⪸950))≝⊿(⫖↰⪸1B1B≹⇙⪍⫖↰⪸7A2⨵⪆⫖↰⪸2056≁↽≥⫖↰⪸791)⊉≛↸(⫟(⫛⫱⨽⫖↰⪸844)∷⫖↰⪸3119⇣⩺⋵⫖↰⪸1A89)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23759433,"operation_count":12,"complexity_ratio":1979952.75,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1789,"base":12},"right_expr":{"type":"numeric_atoms","value":2845,"base":12}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3974,"base":12},"right_expr":{"type":"numeric_atoms","value":1356,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3335,"base":12},"right_expr":{"type":"numeric_atoms","value":1130,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3522,"base":12},"right_expr":{"type":"numeric_atoms","value":1117,"base":12}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1204,"base":12}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5349,"base":12},"right_expr":{"type":"numeric_atoms","value":3273,"base":12}}}}},"used_operators":["DZ8iAZOCBD","OKKcZfAt5B","vXNesLlMH1","oraRL2iQuh","I7sXao9hZE","2DQ55sFlQl","AHs5Up7iyr","ncHt1X6cMc","z4E1FaHLuy","D3AQDKkPcf","DlLNRPXxWL","F4yD0voBRQ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rGHVDoGpnC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⫖↰⪸-3A4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1789","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=2845, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3974","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=3974, right_input=1356, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=3335","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=3335, right_input=1130, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3522","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=3522, right_input=1117, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=53396","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=53396, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=160, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-2353","layer":1},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5349","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=5349, right_input=3273, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-794","layer":2},{"info":"compute unary expreesion, input=-794, 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=556","layer":1},{"info":"compute binary expreesion, left_input=-2353, right_input=556, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-556","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1051⪡⫖↰⪸1791)≄⊠(⫖↰⪸2372⪁⫖↰⪸950))≝⊿(⫖↰⪸1B1B≹⇙⪍⫖↰⪸7A2⨵⪆⫖↰⪸2056≁↽≥⫖↰⪸791)⊉≛↸(⫟(⫛⫱⨽⫖↰⪸844)∷⫖↰⪸3119⇣⩺⋵⫖↰⪸1A89)=⫖↰⪸-3A4","reverse_text":"⫖↰⪸-3A4=((⫖↰⪸1051⪡⫖↰⪸1791)≄⊠(⫖↰⪸2372⪁⫖↰⪸950))≝⊿(⫖↰⪸1B1B≹⇙⪍⫖↰⪸7A2⨵⪆⫖↰⪸2056≁↽≥⫖↰⪸791)⊉≛↸(⫟(⫛⫱⨽⫖↰⪸844)∷⫖↰⪸3119⇣⩺⋵⫖↰⪸1A89)","cot":[{"info":"⫖↰⪸1051⪡⫖↰⪸1791=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸2372⪁⫖↰⪸950=NaN","layer":3},{"info":"⫖↰⪸8B≄⊠NaN=⫖↰⪸A50","layer":2},{"info":"⫖↰⪸1B1B≹⇙⪍⫖↰⪸7A2=NaN","layer":3},{"info":"⫖↰⪸2056≁↽≥⫖↰⪸791=⫖↰⪸26A98","layer":3},{"info":"NaN⨵⪆⫖↰⪸26A98=⫖↰⪸114","layer":2},{"info":"⫖↰⪸A50≝⊿⫖↰⪸114=⫖↰⪸-1441","layer":1},{"info":"⫛⫱⨽⫖↰⪸844=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3119⇣⩺⋵⫖↰⪸1A89=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸0∷⫖↰⪸-198=⫖↰⪸-562","layer":2},{"info":"⫟⫖↰⪸-562=⫖↰⪸3A4","layer":1},{"info":"⫖↰⪸-1441⊉≛↸⫖↰⪸3A4=⫖↰⪸-3A4","layer":0}]}
{"id":429,"expression_no_base_symbol":"(↨⩢⫨($1249$∣$3493$∪⫐(≉$5689$)))⊵↤","expression":"(↨⩢⫨(⫖↰⪸881∣⫖↰⪸2031∪⫐(≉⫖↰⪸3361)))⊵↤","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":105,"operation_count":5,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1249,"base":12},"right_expr":{"type":"numeric_atoms","value":3493,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5689,"base":12}}}}},"used_operators":["7IPrd9c3lf","Z5CJsN7DuW","7YooWSwCyH","PPChnnnBFF","e1ybzncUwg"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rJVOvQCfKK","2DDjHMKMc0","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸-42","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"number node, value=3493","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=3493, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1249","layer":3},{"info":"number node, value=5689","layer":4},{"info":"compute unary expreesion, input=5689, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6220","layer":3},{"info":"compute binary expreesion, left_input=1249, right_input=6220, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1249","layer":2},{"info":"compute unary expreesion, input=1249, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=-50","layer":0}],"base":12,"result_base":12,"text":"(↨⩢⫨(⫖↰⪸881∣⫖↰⪸2031∪⫐(≉⫖↰⪸3361)))⊵↤=⫖↰⪸-42","reverse_text":"⫖↰⪸-42=(↨⩢⫨(⫖↰⪸881∣⫖↰⪸2031∪⫐(≉⫖↰⪸3361)))⊵↤","cot":[{"info":"⫖↰⪸881∣⫖↰⪸2031=⫖↰⪸881","layer":3},{"info":"≉⫖↰⪸3361=⫖↰⪸3724","layer":3},{"info":"⫖↰⪸881∪⫐⫖↰⪸3724=⫖↰⪸881","layer":2},{"info":"↨⩢⫨⫖↰⪸881=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊵↤=⫖↰⪸-42","layer":0}]}
{"id":430,"expression_no_base_symbol":"(($7517$⪪$2221$)⋹)⫉⨲⊜(⇖⫷⫕($1166$⇩))∀⇚≩(≸(⊈$4594$⫣⪄⊒$1380$))","expression":"((⫖↰⪸4425⪪⫖↰⪸1351)⋹)⫉⨲⊜(⇖⫷⫕(⫖↰⪸812⇩))∀⇚≩(≸(⊈⫖↰⪸27AA⫣⪄⊒⫖↰⪸970))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23608,"operation_count":9,"complexity_ratio":2623.1111111111113,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":7517,"base":12},"right_expr":{"type":"numeric_atoms","value":2221,"base":12}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1166,"base":12}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4594,"base":12},"right_expr":{"type":"numeric_atoms","value":1380,"base":12}}}}},"used_operators":["LRNGc0VcxI","WhqkvtTD3t","opAxDRczMr","xD69zh8xqp","UHmRx3INFg","vRio1gEz1j","eOf03JbCpp","RHru8klgy8","RabNbG55vr"],"dependent_operators":["X99M06cbEe","eewbuw0ToL","zVYPLywUTj","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","FU0Cs4j7VP","JclMnS0uGI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","12rbrZMWeM","xUOZtlo3hN","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫖↰⪸4A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7517","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=7517, right_input=2221, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1131156","layer":3},{"info":"compute unary expreesion, input=-1131156, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1259","layer":3},{"info":"compute unary expreesion, input=1259, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-20, right_input=2822, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=4594","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=4594, right_input=1380, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-8712","layer":3},{"info":"compute unary expreesion, input=-8712, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=8538","layer":2},{"info":"compute unary expreesion, input=8538, 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=0, right_input=58, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=58","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4425⪪⫖↰⪸1351)⋹)⫉⨲⊜(⇖⫷⫕(⫖↰⪸812⇩))∀⇚≩(≸(⊈⫖↰⪸27AA⫣⪄⊒⫖↰⪸970))=⫖↰⪸4A","reverse_text":"⫖↰⪸4A=((⫖↰⪸4425⪪⫖↰⪸1351)⋹)⫉⨲⊜(⇖⫷⫕(⫖↰⪸812⇩))∀⇚≩(≸(⊈⫖↰⪸27AA⫣⪄⊒⫖↰⪸970))","cot":[{"info":"⫖↰⪸4425⪪⫖↰⪸1351=⫖↰⪸-466730","layer":3},{"info":"⫖↰⪸-466730⋹=⫖↰⪸-18","layer":2},{"info":"⫖↰⪸812⇩=⫖↰⪸88B","layer":3},{"info":"⇖⫷⫕⫖↰⪸88B=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸-18⫉⨲⊜⫖↰⪸1772=⫖↰⪸0","layer":1},{"info":"⫖↰⪸27AA⫣⪄⊒⫖↰⪸970=⫖↰⪸-5060","layer":3},{"info":"⊈⫖↰⪸-5060=⫖↰⪸4B36","layer":2},{"info":"≸⫖↰⪸4B36=⫖↰⪸4A","layer":1},{"info":"⫖↰⪸0∀⇚≩⫖↰⪸4A=⫖↰⪸4A","layer":0}]}
{"id":431,"expression_no_base_symbol":"(+⊝⨔$6569$≎⪠$1623$)≨((⊙↵-$3503$)≓∲($4294$⪚⩙≫))⇴∐(($1733$≥⨤⩑$6184$)≄⊠$1421$⩍⋽⫝̸$4562$⫢⨠(⩷$1500$⨑⩅≇$8904$))","expression":"(+⊝⨔⫖↰⪸3975≎⪠⫖↰⪸B33)≨((⊙↵-⫖↰⪸203B)≓∲(⫖↰⪸259A⪚⩙≫))⇴∐((⫖↰⪸1005≥⨤⩑⫖↰⪸36B4)≄⊠⫖↰⪸9A5⩍⋽⫝̸⫖↰⪸2782⫢⨠(⩷⫖↰⪸A50⨑⩅≇⫖↰⪸51A0))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":57545,"operation_count":13,"complexity_ratio":4426.538461538462,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":6569,"base":12},"right_expr":{"type":"numeric_atoms","value":1623,"base":12}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3503,"base":12}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":4294,"base":12}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1733,"base":12},"right_expr":{"type":"numeric_atoms","value":6184,"base":12}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1421,"base":12},"right_expr":{"type":"numeric_atoms","value":4562,"base":12}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1500,"base":12},"right_expr":{"type":"numeric_atoms","value":8904,"base":12}}}}},"used_operators":["HnzytWxmAO","0KMCeP1Jsh","DhbWaqg5eL","aNhz54LH3e","s1XTVnmDOJ","oWn0xqSxBt","4n53wtyJvv","xlXykHWxX1","vXNesLlMH1","gJLn6v0xnP","BiWNJpBvwn","1h0rLqGiFr","h92wMvzauj"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Ph9nP6C5qx","xUOZtlo3hN","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⫖↰⪸-98","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6569","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=6569, right_input=1623, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=3503","layer":4},{"info":"compute unary expreesion, input=3503, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4294","layer":4},{"info":"compute unary expreesion, input=4294, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12744","layer":1},{"info":"number node, value=1733","layer":4},{"info":"number node, value=6184","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=6184, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1421","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=4562, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3616","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3616, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=62524","layer":2},{"info":"number node, value=1500","layer":4},{"info":"number node, value=8904","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=8904, 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=-4500","layer":3},{"info":"compute unary expreesion, input=-4500, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=53921","layer":2},{"info":"compute binary expreesion, left_input=62524, right_input=53921, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-12744, right_input=160, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸3975≎⪠⫖↰⪸B33)≨((⊙↵-⫖↰⪸203B)≓∲(⫖↰⪸259A⪚⩙≫))⇴∐((⫖↰⪸1005≥⨤⩑⫖↰⪸36B4)≄⊠⫖↰⪸9A5⩍⋽⫝̸⫖↰⪸2782⫢⨠(⩷⫖↰⪸A50⨑⩅≇⫖↰⪸51A0))=⫖↰⪸-98","reverse_text":"⫖↰⪸-98=(+⊝⨔⫖↰⪸3975≎⪠⫖↰⪸B33)≨((⊙↵-⫖↰⪸203B)≓∲(⫖↰⪸259A⪚⩙≫))⇴∐((⫖↰⪸1005≥⨤⩑⫖↰⪸36B4)≄⊠⫖↰⪸9A5⩍⋽⫝̸⫖↰⪸2782⫢⨠(⩷⫖↰⪸A50⨑⩅≇⫖↰⪸51A0))","cot":[{"info":"⫖↰⪸3975≎⪠⫖↰⪸B33=⫖↰⪸B39A","layer":3},{"info":"+⊝⨔⫖↰⪸B39A=⫖↰⪸A6A","layer":2},{"info":"⊙↵-⫖↰⪸203B=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸259A⪚⩙≫=NaN","layer":3},{"info":"⫖↰⪸-1≓∲NaN=NaN","layer":2},{"info":"⫖↰⪸A6A≨NaN=⫖↰⪸-7460","layer":1},{"info":"⫖↰⪸1005≥⨤⩑⫖↰⪸36B4=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸9A5⩍⋽⫝̸⫖↰⪸2782=⫖↰⪸2114","layer":3},{"info":"⫖↰⪸86A≄⊠⫖↰⪸2114=⫖↰⪸30224","layer":2},{"info":"⫖↰⪸A50⨑⩅≇⫖↰⪸51A0=⫖↰⪸-2730","layer":3},{"info":"⩷⫖↰⪸-2730=⫖↰⪸27255","layer":2},{"info":"⫖↰⪸30224⫢⨠⫖↰⪸27255=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-7460⇴∐⫖↰⪸114=⫖↰⪸-98","layer":0}]}
{"id":432,"expression_no_base_symbol":"(≅≯⇸($5748$≁↽≥$6252$⇪⋭))⩠","expression":"(≅≯⇸(⫖↰⪸33B0≁↽≥⫖↰⪸3750⇪⋭))⩠","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":75,"operation_count":4,"complexity_ratio":18.75,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5748,"base":12},"right_expr":{"type":"numeric_atoms","value":6252,"base":12}}}}},"used_operators":["sJAwomhLZr","apS25hmuAe","Z8Yg6dlDSp","ncHt1X6cMc"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","EBcxylXtPf","QMFrweE19q","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5748","layer":4},{"info":"number node, value=6252","layer":4},{"info":"compute binary expreesion, left_input=5748, right_input=6252, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=96152","layer":3},{"info":"compute unary expreesion, input=96152, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≅≯⇸(⫖↰⪸33B0≁↽≥⫖↰⪸3750⇪⋭))⩠=NaN","reverse_text":"NaN=(≅≯⇸(⫖↰⪸33B0≁↽≥⫖↰⪸3750⇪⋭))⩠","cot":[{"info":"⫖↰⪸33B0≁↽≥⫖↰⪸3750=⫖↰⪸47788","layer":3},{"info":"⫖↰⪸47788⇪⋭=NaN","layer":2},{"info":"≅≯⇸NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"(($4174$⫰⋱$4129$)⇄$2229$⪘⫢$6923$⫰⋱($1519$⨻⩈⩔$2473$≬⋮(⪸$1207$)))⪪(⨵≀≌($4359$⩼⇪↪$1732$)∺≝⩲($1271$∠⫱$7753$))","expression":"((⫖↰⪸24BA⫰⋱⫖↰⪸2481)⇄⫖↰⪸1359⪘⫢⫖↰⪸400B⫰⋱(⫖↰⪸A67⨻⩈⩔⫖↰⪸1521≬⋮(⪸⫖↰⪸847)))⪪(⨵≀≌(⫖↰⪸2633⩼⇪↪⫖↰⪸1004)∺≝⩲(⫖↰⪸89B∠⫱⫖↰⪸45A1))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12165,"operation_count":12,"complexity_ratio":1013.75,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4174,"base":12},"right_expr":{"type":"numeric_atoms","value":4129,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2229,"base":12},"right_expr":{"type":"numeric_atoms","value":6923,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1519,"base":12},"right_expr":{"type":"numeric_atoms","value":2473,"base":12}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1207,"base":12}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4359,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1271,"base":12},"right_expr":{"type":"numeric_atoms","value":7753,"base":12}}}}},"used_operators":["xD69zh8xqp","6o9Blt3TJ6","3EYGwJThht","oacrs7FA3X","kbkesczE7y","nEsXyWgiOK","86A5ENbKR9","srAu1WTS94","KPf6cnQVty","ocnLzx9CaJ","QvoQhV0rrE"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⫖↰⪸-241072","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4174","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=4174, right_input=4129, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4141","layer":3},{"info":"number node, value=2229","layer":4},{"info":"number node, value=6923","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=6923, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4334","layer":3},{"info":"compute binary expreesion, left_input=-4141, right_input=4334, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-3850","layer":2},{"info":"number node, value=1519","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=2473, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=3751","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-20310","layer":3},{"info":"compute binary expreesion, left_input=3751, right_input=-20310, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-3850, right_input=868, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=3883","layer":1},{"info":"number node, value=4359","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=4359, right_input=1732, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4189","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=7753","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=7753, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4189, right_input=1234, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":1},{"info":"compute binary expreesion, left_input=3883, right_input=25600, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-582422","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸24BA⫰⋱⫖↰⪸2481)⇄⫖↰⪸1359⪘⫢⫖↰⪸400B⫰⋱(⫖↰⪸A67⨻⩈⩔⫖↰⪸1521≬⋮(⪸⫖↰⪸847)))⪪(⨵≀≌(⫖↰⪸2633⩼⇪↪⫖↰⪸1004)∺≝⩲(⫖↰⪸89B∠⫱⫖↰⪸45A1))=⫖↰⪸-241072","reverse_text":"⫖↰⪸-241072=((⫖↰⪸24BA⫰⋱⫖↰⪸2481)⇄⫖↰⪸1359⪘⫢⫖↰⪸400B⫰⋱(⫖↰⪸A67⨻⩈⩔⫖↰⪸1521≬⋮(⪸⫖↰⪸847)))⪪(⨵≀≌(⫖↰⪸2633⩼⇪↪⫖↰⪸1004)∺≝⩲(⫖↰⪸89B∠⫱⫖↰⪸45A1))","cot":[{"info":"⫖↰⪸24BA⫰⋱⫖↰⪸2481=⫖↰⪸-2491","layer":3},{"info":"⫖↰⪸1359⪘⫢⫖↰⪸400B=⫖↰⪸2612","layer":3},{"info":"⫖↰⪸-2491⇄⫖↰⪸2612=⫖↰⪸-228A","layer":2},{"info":"⫖↰⪸A67⨻⩈⩔⫖↰⪸1521=⫖↰⪸2207","layer":3},{"info":"⪸⫖↰⪸847=⫖↰⪸-B906","layer":3},{"info":"⫖↰⪸2207≬⋮⫖↰⪸-B906=⫖↰⪸604","layer":2},{"info":"⫖↰⪸-228A⫰⋱⫖↰⪸604=⫖↰⪸22B7","layer":1},{"info":"⫖↰⪸2633⩼⇪↪⫖↰⪸1004=⫖↰⪸-2511","layer":3},{"info":"⫖↰⪸89B∠⫱⫖↰⪸45A1=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-2511∺≝⩲⫖↰⪸86A=⫖↰⪸114","layer":2},{"info":"⨵≀≌⫖↰⪸114=⫖↰⪸12994","layer":1},{"info":"⫖↰⪸22B7⪪⫖↰⪸12994=⫖↰⪸-241072","layer":0}]}
{"id":434,"expression_no_base_symbol":"⋠∜(($1362$∓⋝$1470$≓∲$1308$⨟⋌⩍$3317$)≧⫂∧($7843$⫦⪉$1877$)⪎↠(⇘$2781$))","expression":"⋠∜((⫖↰⪸956∓⋝⫖↰⪸A26≓∲⫖↰⪸910⨟⋌⩍⫖↰⪸1B05)≧⫂∧(⫖↰⪸4657⫦⪉⫖↰⪸1105)⪎↠(⇘⫖↰⪸1739))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5736,"operation_count":8,"complexity_ratio":717.0,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1362,"base":12},"right_expr":{"type":"numeric_atoms","value":1470,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1308,"base":12},"right_expr":{"type":"numeric_atoms","value":3317,"base":12}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7843,"base":12},"right_expr":{"type":"numeric_atoms","value":1877,"base":12}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2781,"base":12}}}}},"used_operators":["ZJpFhNJr3x","Ph9nP6C5qx","s1XTVnmDOJ","PoHhknlbAi","rGHVDoGpnC","3tVxb0NHM4","wscyQdcy20","MGuIdZPyUC"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Tcnh7f0tEr","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"⫖↰⪸124","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1362","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=1470, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=3317, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"number node, value=7843","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=7843, right_input=1877, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-10786","layer":3},{"info":"number node, value=2781","layer":4},{"info":"compute unary expreesion, input=2781, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=161242","layer":3},{"info":"compute binary expreesion, left_input=-10786, right_input=161242, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-528","layer":1},{"info":"compute unary expreesion, input=-528, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=172","layer":0}],"base":12,"result_base":12,"text":"⋠∜((⫖↰⪸956∓⋝⫖↰⪸A26≓∲⫖↰⪸910⨟⋌⩍⫖↰⪸1B05)≧⫂∧(⫖↰⪸4657⫦⪉⫖↰⪸1105)⪎↠(⇘⫖↰⪸1739))=⫖↰⪸124","reverse_text":"⫖↰⪸124=⋠∜((⫖↰⪸956∓⋝⫖↰⪸A26≓∲⫖↰⪸910⨟⋌⩍⫖↰⪸1B05)≧⫂∧(⫖↰⪸4657⫦⪉⫖↰⪸1105)⪎↠(⇘⫖↰⪸1739))","cot":[{"info":"⫖↰⪸956∓⋝⫖↰⪸A26=⫖↰⪸57","layer":3},{"info":"⫖↰⪸910⨟⋌⩍⫖↰⪸1B05=NaN","layer":3},{"info":"⫖↰⪸57≓∲NaN=NaN","layer":2},{"info":"⫖↰⪸4657⫦⪉⫖↰⪸1105=⫖↰⪸-62AA","layer":3},{"info":"⇘⫖↰⪸1739=⫖↰⪸7938A","layer":3},{"info":"⫖↰⪸-62AA⪎↠⫖↰⪸7938A=⫖↰⪸-47","layer":2},{"info":"NaN≧⫂∧⫖↰⪸-47=⫖↰⪸-380","layer":1},{"info":"⋠∜⫖↰⪸-380=⫖↰⪸124","layer":0}]}
{"id":435,"expression_no_base_symbol":"((⊽($1278$⩌⋺$4152$))∛((⨩∲⋌$1875$)⫚↹⊑$1063$∝$2423$))⫲⨊","expression":"((⊽(⫖↰⪸8A6⩌⋺⫖↰⪸24A0))∛((⨩∲⋌⫖↰⪸1103)⫚↹⊑⫖↰⪸747∝⫖↰⪸149B))⫲⨊","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":113,"operation_count":7,"complexity_ratio":16.142857142857142,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1278,"base":12},"right_expr":{"type":"numeric_atoms","value":4152,"base":12}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1875,"base":12}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":2423,"base":12}}}}},"used_operators":["CArV6hThFE","w2537kitQq","QxG7OkqoLX","g7Hmc5v1ko","dfKe02y8D2","aSik1wnThz","cTDWOvIxvz"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⫖↰⪸792","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":4},{"info":"number node, value=4152","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=4152, 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=-5551","layer":3},{"info":"compute unary expreesion, input=-5551, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=1875","layer":4},{"info":"compute unary expreesion, input=1875, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2398","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2423, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1068","layer":3},{"info":"compute binary expreesion, left_input=-2398, right_input=1068, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=1118","layer":0}],"base":12,"result_base":12,"text":"((⊽(⫖↰⪸8A6⩌⋺⫖↰⪸24A0))∛((⨩∲⋌⫖↰⪸1103)⫚↹⊑⫖↰⪸747∝⫖↰⪸149B))⫲⨊=⫖↰⪸792","reverse_text":"⫖↰⪸792=((⊽(⫖↰⪸8A6⩌⋺⫖↰⪸24A0))∛((⨩∲⋌⫖↰⪸1103)⫚↹⊑⫖↰⪸747∝⫖↰⪸149B))⫲⨊","cot":[{"info":"⫖↰⪸8A6⩌⋺⫖↰⪸24A0=⫖↰⪸-3267","layer":3},{"info":"⊽⫖↰⪸-3267=⫖↰⪸0","layer":2},{"info":"⨩∲⋌⫖↰⪸1103=⫖↰⪸-147A","layer":3},{"info":"⫖↰⪸747∝⫖↰⪸149B=⫖↰⪸750","layer":3},{"info":"⫖↰⪸-147A⫚↹⊑⫖↰⪸750=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸0∛⫖↰⪸-313=⫖↰⪸57","layer":1},{"info":"⫖↰⪸57⫲⨊=⫖↰⪸792","layer":0}]}
{"id":436,"expression_no_base_symbol":"(↥(⨂⪏⇭$9288$))∳⫺(⇐($1907$⊍⩺⋍$1088$))∊∟⩊(⩒∊(($1022$⪥⨬⪅)≒∊($1648$∙∹∝$2479$)))","expression":"(↥(⨂⪏⇭⫖↰⪸5460))∳⫺(⇐(⫖↰⪸112B⊍⩺⋍⫖↰⪸768))∊∟⩊(⩒∊((⫖↰⪸712⪥⨬⪅)≒∊(⫖↰⪸B54∙∹∝⫖↰⪸1527)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1052,"operation_count":10,"complexity_ratio":105.2,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":9288,"base":12}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1907,"base":12},"right_expr":{"type":"numeric_atoms","value":1088,"base":12}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":1022,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1648,"base":12},"right_expr":{"type":"numeric_atoms","value":2479,"base":12}}}}},"used_operators":["ddLRYrp01A","AzXXKTstlj","A8NUZmVepG","AYdpE9sXAk","nmZMaaE0Q9","OXDGMFPWZM","qazvmhNBbN","5KTvxBwnZo","zNRQejTB5A","HmxsFra2vL"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","k8jYdgA6NY","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⫖↰⪸805","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9288","layer":4},{"info":"compute unary expreesion, input=9288, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=26885","layer":3},{"info":"compute unary expreesion, input=26885, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":2},{"info":"number node, value=1907","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1088, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"number node, value=1648","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=2479, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=957","layer":2},{"info":"compute unary expreesion, input=957, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1157","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=1157, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1157","layer":0}],"base":12,"result_base":12,"text":"(↥(⨂⪏⇭⫖↰⪸5460))∳⫺(⇐(⫖↰⪸112B⊍⩺⋍⫖↰⪸768))∊∟⩊(⩒∊((⫖↰⪸712⪥⨬⪅)≒∊(⫖↰⪸B54∙∹∝⫖↰⪸1527)))=⫖↰⪸805","reverse_text":"⫖↰⪸805=(↥(⨂⪏⇭⫖↰⪸5460))∳⫺(⇐(⫖↰⪸112B⊍⩺⋍⫖↰⪸768))∊∟⩊(⩒∊((⫖↰⪸712⪥⨬⪅)≒∊(⫖↰⪸B54∙∹∝⫖↰⪸1527)))","cot":[{"info":"⨂⪏⇭⫖↰⪸5460=⫖↰⪸13685","layer":3},{"info":"↥⫖↰⪸13685=⫖↰⪸8","layer":2},{"info":"⫖↰⪸112B⊍⩺⋍⫖↰⪸768=NaN","layer":3},{"info":"⇐NaN=NaN","layer":2},{"info":"⫖↰⪸8∳⫺NaN=⫖↰⪸-198","layer":1},{"info":"⫖↰⪸712⪥⨬⪅=⫖↰⪸-335","layer":3},{"info":"⫖↰⪸B54∙∹∝⫖↰⪸1527=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-335≒∊⫖↰⪸0=⫖↰⪸679","layer":2},{"info":"⩒∊⫖↰⪸679=⫖↰⪸805","layer":1},{"info":"⫖↰⪸-198∊∟⩊⫖↰⪸805=⫖↰⪸805","layer":0}]}
{"id":437,"expression_no_base_symbol":"(∤$1541$⩷∴$3147$)∇⊂⋱(≻⋜(⊥$1234$))∐⫣","expression":"(∤⫖↰⪸A85⩷∴⫖↰⪸19A3)∇⊂⋱(≻⋜(⊥⫖↰⪸86A))∐⫣","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":64,"operation_count":6,"complexity_ratio":10.666666666666666,"tree":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1541,"base":12},"right_expr":{"type":"numeric_atoms","value":3147,"base":12}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1234,"base":12}}}}},"used_operators":["4CyGpkTkEk","nhYeJWJD5X","k2HlF1dBQh","9FxExcQeMw","3tj9sqzovi","Q3PJZHRvZv"],"dependent_operators":["XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=3147, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3244","layer":3},{"info":"compute unary expreesion, input=-3244, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∤⫖↰⪸A85⩷∴⫖↰⪸19A3)∇⊂⋱(≻⋜(⊥⫖↰⪸86A))∐⫣=NaN","reverse_text":"NaN=(∤⫖↰⪸A85⩷∴⫖↰⪸19A3)∇⊂⋱(≻⋜(⊥⫖↰⪸86A))∐⫣","cot":[{"info":"⫖↰⪸A85⩷∴⫖↰⪸19A3=⫖↰⪸-1A64","layer":3},{"info":"∤⫖↰⪸-1A64=⫖↰⪸9","layer":2},{"info":"⊥⫖↰⪸86A=NaN","layer":3},{"info":"≻⋜NaN=NaN","layer":2},{"info":"⫖↰⪸9∇⊂⋱NaN=NaN","layer":1},{"info":"NaN∐⫣=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"⊙↵-(⊲⪭((⇉-⫰$4237$)⨹))","expression":"⊙↵-(⊲⪭((⇉-⫰⫖↰⪸2551)⨹))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3463,"operation_count":4,"complexity_ratio":865.75,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":4237,"base":12}}}}},"used_operators":["oWn0xqSxBt","k7HXdKtiEU","UnCoSGIALn","IGFM8TAlm9"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","i8ToyICDmI","xUOZtlo3hN","mp7IySMOzn","eH2TOUuTDT","eewbuw0ToL"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4237","layer":4},{"info":"compute unary expreesion, input=4237, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=40","layer":2},{"info":"compute unary expreesion, input=40, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-214","layer":1},{"info":"compute unary expreesion, input=-214, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊙↵-(⊲⪭((⇉-⫰⫖↰⪸2551)⨹))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊙↵-(⊲⪭((⇉-⫰⫖↰⪸2551)⨹))","cot":[{"info":"⇉-⫰⫖↰⪸2551=⫖↰⪸18","layer":3},{"info":"⫖↰⪸18⨹=⫖↰⪸34","layer":2},{"info":"⊲⪭⫖↰⪸34=⫖↰⪸-15A","layer":1},{"info":"⊙↵-⫖↰⪸-15A=⫖↰⪸0","layer":0}]}
{"id":439,"expression_no_base_symbol":"($3443$⨟⋌⩍$2196$≥⨤⩑$3080$⇻⋧≁$2370$)⊨(⨙⪌($1399$⋻⩜⩜$4345$))⊉≛↸(($5052$∽$1016$)⩷∴(⇈$1967$))≴⪞⇿(≑⋹($1110$⇗⋫))","expression":"(⫖↰⪸1BAB⨟⋌⩍⫖↰⪸1330≥⨤⩑⫖↰⪸1948⇻⋧≁⫖↰⪸1456)⊨(⨙⪌(⫖↰⪸987⋻⩜⩜⫖↰⪸2621))⊉≛↸((⫖↰⪸2B10∽⫖↰⪸708)⩷∴(⇈⫖↰⪸117B))≴⪞⇿(≑⋹(⫖↰⪸786⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":72301,"operation_count":13,"complexity_ratio":5561.615384615385,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3443,"base":12},"right_expr":{"type":"numeric_atoms","value":2196,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3080,"base":12},"right_expr":{"type":"numeric_atoms","value":2370,"base":12}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1399,"base":12},"right_expr":{"type":"numeric_atoms","value":4345,"base":12}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5052,"base":12},"right_expr":{"type":"numeric_atoms","value":1016,"base":12}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1967,"base":12}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1110,"base":12}}}}},"used_operators":["DZ8iAZOCBD","vg4gO5BX6G","gJLn6v0xnP","rGHVDoGpnC","jCPkEVoL5K","vEGLkm4Z2k","oDCm7WA9JY","lvlrscuwVU","9FxExcQeMw","y4ImoPnbV5","SLLxy00UIr","6B9nyZLogK","hpqmaQFPrd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Tcnh7f0tEr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rxpJgHHUmx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3443","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=3443, right_input=2196, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3080","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=2370, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"number node, value=1399","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=4345, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2798","layer":3},{"info":"compute unary expreesion, input=2798, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=5052","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=5052, right_input=1016, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-28130","layer":3},{"info":"number node, value=1967","layer":4},{"info":"compute unary expreesion, input=1967, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-28130, right_input=-447, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-55398","layer":2},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55398, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-669276","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-669276, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1BAB⨟⋌⩍⫖↰⪸1330≥⨤⩑⫖↰⪸1948⇻⋧≁⫖↰⪸1456)⊨(⨙⪌(⫖↰⪸987⋻⩜⩜⫖↰⪸2621))⊉≛↸((⫖↰⪸2B10∽⫖↰⪸708)⩷∴(⇈⫖↰⪸117B))≴⪞⇿(≑⋹(⫖↰⪸786⇗⋫))=NaN","reverse_text":"NaN=(⫖↰⪸1BAB⨟⋌⩍⫖↰⪸1330≥⨤⩑⫖↰⪸1948⇻⋧≁⫖↰⪸1456)⊨(⨙⪌(⫖↰⪸987⋻⩜⩜⫖↰⪸2621))⊉≛↸((⫖↰⪸2B10∽⫖↰⪸708)⩷∴(⇈⫖↰⪸117B))≴⪞⇿(≑⋹(⫖↰⪸786⇗⋫))","cot":[{"info":"⫖↰⪸1BAB⨟⋌⩍⫖↰⪸1330=NaN","layer":3},{"info":"⫖↰⪸1948⇻⋧≁⫖↰⪸1456=⫖↰⪸-313","layer":3},{"info":"NaN≥⨤⩑⫖↰⪸-313=NaN","layer":2},{"info":"⫖↰⪸987⋻⩜⩜⫖↰⪸2621=⫖↰⪸1752","layer":3},{"info":"⨙⪌⫖↰⪸1752=⫖↰⪸604","layer":2},{"info":"NaN⊨⫖↰⪸604=NaN","layer":1},{"info":"⫖↰⪸2B10∽⫖↰⪸708=⫖↰⪸-14342","layer":3},{"info":"⇈⫖↰⪸117B=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-14342⩷∴⫖↰⪸-313=⫖↰⪸-28086","layer":2},{"info":"⫖↰⪸786⇗⋫=NaN","layer":3},{"info":"≑⋹NaN=NaN","layer":2},{"info":"⫖↰⪸-28086≴⪞⇿NaN=⫖↰⪸-283390","layer":1},{"info":"NaN⊉≛↸⫖↰⪸-283390=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"+⊝⨔($1881$⨿$3045$∝(⊽$6205$)≓∲($2589$↞⋁$4231$⊧↖))","expression":"+⊝⨔(⫖↰⪸1109⨿⫖↰⪸1919∝(⊽⫖↰⪸3711)≓∲(⫖↰⪸15B9↞⋁⫖↰⪸2547⊧↖))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":565,"operation_count":7,"complexity_ratio":80.71428571428571,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1881,"base":12},"right_expr":{"type":"numeric_atoms","value":3045,"base":12}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":6205,"base":12}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2589,"base":12},"right_expr":{"type":"numeric_atoms","value":4231,"base":12}}}}},"used_operators":["DhbWaqg5eL","s1XTVnmDOJ","cTDWOvIxvz","abYXlopdE0","QxG7OkqoLX","EKiFHuOFxO","RqrPlJkxDo"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","7j4O788W3g","W4YGzv6Whe","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⫖↰⪸A6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1881","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=3045, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=6205","layer":4},{"info":"compute unary expreesion, input=6205, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=13932","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=13932, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-314","layer":2},{"info":"number node, value=2589","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=4231, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-314, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, 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":12,"result_base":12,"text":"+⊝⨔(⫖↰⪸1109⨿⫖↰⪸1919∝(⊽⫖↰⪸3711)≓∲(⫖↰⪸15B9↞⋁⫖↰⪸2547⊧↖))=⫖↰⪸A6A","reverse_text":"⫖↰⪸A6A=+⊝⨔(⫖↰⪸1109⨿⫖↰⪸1919∝(⊽⫖↰⪸3711)≓∲(⫖↰⪸15B9↞⋁⫖↰⪸2547⊧↖))","cot":[{"info":"⫖↰⪸1109⨿⫖↰⪸1919=⫖↰⪸-227","layer":3},{"info":"⊽⫖↰⪸3711=⫖↰⪸8090","layer":3},{"info":"⫖↰⪸-227∝⫖↰⪸8090=⫖↰⪸-222","layer":2},{"info":"⫖↰⪸15B9↞⋁⫖↰⪸2547=NaN","layer":3},{"info":"NaN⊧↖=NaN","layer":2},{"info":"⫖↰⪸-222≓∲NaN=⫖↰⪸57","layer":1},{"info":"+⊝⨔⫖↰⪸57=⫖↰⪸A6A","layer":0}]}
{"id":441,"expression_no_base_symbol":"(⨆≐≲($1983$≦↸$6786$⨚($1167$⋥≓≎$3271$)))⫗⊷⫓((+⊝⨔(≑⋹$2195$))⋹⋡⊁(⊲⪭($4494$⪕$1914$)))","expression":"(⨆≐≲(⫖↰⪸1193≦↸⫖↰⪸3B16⨚(⫖↰⪸813⋥≓≎⫖↰⪸1A87)))⫗⊷⫓((+⊝⨔(≑⋹⫖↰⪸132B))⋹⋡⊁(⊲⪭(⫖↰⪸2726⪕⫖↰⪸1136)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":87880,"operation_count":10,"complexity_ratio":8788.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1983,"base":12},"right_expr":{"type":"numeric_atoms","value":6786,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1167,"base":12},"right_expr":{"type":"numeric_atoms","value":3271,"base":12}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2195,"base":12}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4494,"base":12},"right_expr":{"type":"numeric_atoms","value":1914,"base":12}}}}},"used_operators":["zashukvMKz","Bi9z9uYZqW","nREPSIbpBE","RygbFNSyEJ","Qy55tPpLXF","As8RqfVLgs","DhbWaqg5eL","6B9nyZLogK","k7HXdKtiEU","umQnsF7QlU"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1983","layer":4},{"info":"number node, value=6786","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=6786, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-16857","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=3271, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5408","layer":3},{"info":"compute binary expreesion, left_input=-16857, right_input=5408, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-54412","layer":2},{"info":"compute unary expreesion, input=-54412, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=4494","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=4494, right_input=1914, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=7975","layer":3},{"info":"compute unary expreesion, input=7975, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-8149","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-8149, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=11914","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=11914, 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":12,"result_base":12,"text":"(⨆≐≲(⫖↰⪸1193≦↸⫖↰⪸3B16⨚(⫖↰⪸813⋥≓≎⫖↰⪸1A87)))⫗⊷⫓((+⊝⨔(≑⋹⫖↰⪸132B))⋹⋡⊁(⊲⪭(⫖↰⪸2726⪕⫖↰⪸1136)))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=(⨆≐≲(⫖↰⪸1193≦↸⫖↰⪸3B16⨚(⫖↰⪸813⋥≓≎⫖↰⪸1A87)))⫗⊷⫓((+⊝⨔(≑⋹⫖↰⪸132B))⋹⋡⊁(⊲⪭(⫖↰⪸2726⪕⫖↰⪸1136)))","cot":[{"info":"⫖↰⪸1193≦↸⫖↰⪸3B16=⫖↰⪸-9909","layer":3},{"info":"⫖↰⪸813⋥≓≎⫖↰⪸1A87=⫖↰⪸3168","layer":3},{"info":"⫖↰⪸-9909⨚⫖↰⪸3168=⫖↰⪸-275A4","layer":2},{"info":"⨆≐≲⫖↰⪸-275A4=⫖↰⪸-81658","layer":1},{"info":"≑⋹⫖↰⪸132B=⫖↰⪸B56","layer":3},{"info":"+⊝⨔⫖↰⪸B56=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸2726⪕⫖↰⪸1136=⫖↰⪸4747","layer":3},{"info":"⊲⪭⫖↰⪸4747=⫖↰⪸-4871","layer":2},{"info":"⫖↰⪸A6A⋹⋡⊁⫖↰⪸-4871=⫖↰⪸6A8A","layer":1},{"info":"⫖↰⪸-81658⫗⊷⫓⫖↰⪸6A8A=⫖↰⪸-B2","layer":0}]}
{"id":442,"expression_no_base_symbol":"(($1045$⪑⩈)⪭≯$3219$⪔⊥$2035$⨽(∨∊⋏$1322$)⨸($3376$⨝⩣∺))⇌⫙⪟(⋃$5666$⨿$4866$)→⨶⪴((⊁⨺$5347$)⪘⫢$1146$⊴$2710$)","expression":"((⫖↰⪸731⪑⩈)⪭≯⫖↰⪸1A43⪔⊥⫖↰⪸1217⨽(∨∊⋏⫖↰⪸922)⨸(⫖↰⪸1B54⨝⩣∺))⇌⫙⪟(⋃⫖↰⪸3342⨿⫖↰⪸2996)→⨶⪴((⊁⨺⫖↰⪸3117)⪘⫢⫖↰⪸7B6⊴⫖↰⪸169A)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27942,"operation_count":14,"complexity_ratio":1995.857142857143,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1045,"base":12}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3219,"base":12},"right_expr":{"type":"numeric_atoms","value":2035,"base":12}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1322,"base":12}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":3376,"base":12}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5666,"base":12},"right_expr":{"type":"numeric_atoms","value":4866,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":5347,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1146,"base":12},"right_expr":{"type":"numeric_atoms","value":2710,"base":12}}}}},"used_operators":["AFVx7xoS7T","8HhzD0ZcuI","XAx5wpdLa6","C6VvDP6HwP","HJ9erzHUuu","KmoU8R5UQR","R5aXW34M0v","ancx8kZcWl","bF6eod5Gvf","3mBM5G4a3l","abYXlopdE0","oacrs7FA3X","PxiHyQbrIp","Nsiff2A1zJ"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","DZ8iAZOCBD","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","g55IO6H4Gj","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"compute unary expreesion, input=1045, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-1003","layer":3},{"info":"number node, value=3219","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=2035, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8607","layer":3},{"info":"compute binary expreesion, left_input=-1003, right_input=8607, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=18527","layer":3},{"info":"number node, value=3376","layer":4},{"info":"compute unary expreesion, input=3376, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-6752","layer":3},{"info":"compute binary expreesion, left_input=18527, right_input=-6752, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=37054","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=37054, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=5666","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=5666, right_input=4866, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-536","layer":2},{"info":"number node, value=5347","layer":4},{"info":"compute unary expreesion, input=5347, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=2710, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-536, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸731⪑⩈)⪭≯⫖↰⪸1A43⪔⊥⫖↰⪸1217⨽(∨∊⋏⫖↰⪸922)⨸(⫖↰⪸1B54⨝⩣∺))⇌⫙⪟(⋃⫖↰⪸3342⨿⫖↰⪸2996)→⨶⪴((⊁⨺⫖↰⪸3117)⪘⫢⫖↰⪸7B6⊴⫖↰⪸169A)=NaN","reverse_text":"NaN=((⫖↰⪸731⪑⩈)⪭≯⫖↰⪸1A43⪔⊥⫖↰⪸1217⨽(∨∊⋏⫖↰⪸922)⨸(⫖↰⪸1B54⨝⩣∺))⇌⫙⪟(⋃⫖↰⪸3342⨿⫖↰⪸2996)→⨶⪴((⊁⨺⫖↰⪸3117)⪘⫢⫖↰⪸7B6⊴⫖↰⪸169A)","cot":[{"info":"⫖↰⪸731⪑⩈=⫖↰⪸-6B7","layer":3},{"info":"⫖↰⪸1A43⪔⊥⫖↰⪸1217=⫖↰⪸4B93","layer":3},{"info":"⫖↰⪸-6B7⪭≯⫖↰⪸4B93=NaN","layer":2},{"info":"∨∊⋏⫖↰⪸922=⫖↰⪸A87B","layer":3},{"info":"⫖↰⪸1B54⨝⩣∺=⫖↰⪸-3AA8","layer":3},{"info":"⫖↰⪸A87B⨸⫖↰⪸-3AA8=⫖↰⪸1953A","layer":2},{"info":"NaN⨽⫖↰⪸1953A=NaN","layer":1},{"info":"⫖↰⪸3342⨿⫖↰⪸2996=⫖↰⪸-227","layer":3},{"info":"⋃⫖↰⪸-227=⫖↰⪸-388","layer":2},{"info":"⊁⨺⫖↰⪸3117=⫖↰⪸114","layer":3},{"info":"⫖↰⪸7B6⊴⫖↰⪸169A=NaN","layer":3},{"info":"⫖↰⪸114⪘⫢NaN=NaN","layer":2},{"info":"⫖↰⪸-388→⨶⪴NaN=NaN","layer":1},{"info":"NaN⇌⫙⪟NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"($1550$⇄$1021$⋥≓≎(⇋⊎⋝$4404$))⩦($1073$⩚⊴⇥$1679$⊨($3889$∷$2162$))⇷((($2231$⨭⪣$2675$)⩘)⫳≱↱$1410$⨂≜$1401$∠⫱$1368$⪎↠$3406$)","expression":"(⫖↰⪸A92⇄⫖↰⪸711⋥≓≎(⇋⊎⋝⫖↰⪸2670))⩦(⫖↰⪸755⩚⊴⇥⫖↰⪸B7B⊨(⫖↰⪸2301∷⫖↰⪸1302))⇷(((⫖↰⪸135B⨭⪣⫖↰⪸166B)⩘)⫳≱↱⫖↰⪸996⨂≜⫖↰⪸989∠⫱⫖↰⪸960⪎↠⫖↰⪸1B7A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6030,"operation_count":14,"complexity_ratio":430.7142857142857,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1550,"base":12},"right_expr":{"type":"numeric_atoms","value":1021,"base":12}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":4404,"base":12}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1073,"base":12},"right_expr":{"type":"numeric_atoms","value":1679,"base":12}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3889,"base":12},"right_expr":{"type":"numeric_atoms","value":2162,"base":12}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2231,"base":12},"right_expr":{"type":"numeric_atoms","value":2675,"base":12}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":1401,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1368,"base":12},"right_expr":{"type":"numeric_atoms","value":3406,"base":12}}}}},"used_operators":["mp7IySMOzn","0kmYd0q39Y","Qy55tPpLXF","3EYGwJThht","CzM2PEoXns","vg4gO5BX6G","NTOWxs364D","D3AQDKkPcf","ZvLB05nZmT","wvHyciQT5X","kn8WO9XteQ","QvoQhV0rrE","k1SHOSEABc","3tVxb0NHM4"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","dWAJyo7jo9","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","7j4O788W3g","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9ICcGScMcE","dfKe02y8D2","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=1021, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=4404","layer":4},{"info":"compute unary expreesion, input=4404, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1679, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2873","layer":3},{"info":"number node, value=3889","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=2162, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2162","layer":3},{"info":"compute binary expreesion, left_input=-2873, right_input=2162, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"number node, value=2231","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=2675, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=952","layer":3},{"info":"compute unary expreesion, input=952, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"number node, value=1410","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1401, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=3406","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=3406, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A92⇄⫖↰⪸711⋥≓≎(⇋⊎⋝⫖↰⪸2670))⩦(⫖↰⪸755⩚⊴⇥⫖↰⪸B7B⊨(⫖↰⪸2301∷⫖↰⪸1302))⇷(((⫖↰⪸135B⨭⪣⫖↰⪸166B)⩘)⫳≱↱⫖↰⪸996⨂≜⫖↰⪸989∠⫱⫖↰⪸960⪎↠⫖↰⪸1B7A)=NaN","reverse_text":"NaN=(⫖↰⪸A92⇄⫖↰⪸711⋥≓≎(⇋⊎⋝⫖↰⪸2670))⩦(⫖↰⪸755⩚⊴⇥⫖↰⪸B7B⊨(⫖↰⪸2301∷⫖↰⪸1302))⇷(((⫖↰⪸135B⨭⪣⫖↰⪸166B)⩘)⫳≱↱⫖↰⪸996⨂≜⫖↰⪸989∠⫱⫖↰⪸960⪎↠⫖↰⪸1B7A)","cot":[{"info":"⫖↰⪸A92⇄⫖↰⪸711=⫖↰⪸0","layer":3},{"info":"⇋⊎⋝⫖↰⪸2670=NaN","layer":3},{"info":"⫖↰⪸0⋥≓≎NaN=NaN","layer":2},{"info":"⫖↰⪸755⩚⊴⇥⫖↰⪸B7B=⫖↰⪸-17B5","layer":3},{"info":"⫖↰⪸2301∷⫖↰⪸1302=⫖↰⪸1302","layer":3},{"info":"⫖↰⪸-17B5⊨⫖↰⪸1302=⫖↰⪸-126","layer":2},{"info":"NaN⩦⫖↰⪸-126=NaN","layer":1},{"info":"⫖↰⪸135B⨭⪣⫖↰⪸166B=⫖↰⪸674","layer":3},{"info":"⫖↰⪸674⩘=⫖↰⪸57","layer":2},{"info":"⫖↰⪸996⨂≜⫖↰⪸989=NaN","layer":3},{"info":"⫖↰⪸960⪎↠⫖↰⪸1B7A=⫖↰⪸114","layer":3},{"info":"NaN∠⫱⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸57⫳≱↱NaN=⫖↰⪸-150","layer":1},{"info":"NaN⇷⫖↰⪸-150=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"(≦∁$1394$⫁⪎$4070$)≹⇙⪍($2418$⨥⫆$1286$)⫞⩸⩒($2011$⫠)↛⩡⫤","expression":"(≦∁⫖↰⪸982⫁⪎⫖↰⪸2432)≹⇙⪍(⫖↰⪸1496⨥⫆⫖↰⪸8B2)⫞⩸⩒(⫖↰⪸11B7⫠)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28303,"operation_count":7,"complexity_ratio":4043.285714285714,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1394,"base":12},"right_expr":{"type":"numeric_atoms","value":4070,"base":12}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2418,"base":12},"right_expr":{"type":"numeric_atoms","value":1286,"base":12}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2011,"base":12}}}}},"used_operators":["FU0Cs4j7VP","AHs5Up7iyr","9ICcGScMcE","xRrnTEsQ6j","XGcMNugi78","yXekIHxTD4","6SnOT2rOjz"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1394","layer":4},{"info":"number node, value=4070","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=4070, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2676","layer":3},{"info":"compute unary expreesion, input=-2676, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1286, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2448","layer":3},{"info":"number node, value=2011","layer":4},{"info":"compute unary expreesion, input=2011, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2448, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2448","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=2448, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":12,"result_base":12,"text":"(≦∁⫖↰⪸982⫁⪎⫖↰⪸2432)≹⇙⪍(⫖↰⪸1496⨥⫆⫖↰⪸8B2)⫞⩸⩒(⫖↰⪸11B7⫠)↛⩡⫤=NaN","reverse_text":"NaN=(≦∁⫖↰⪸982⫁⪎⫖↰⪸2432)≹⇙⪍(⫖↰⪸1496⨥⫆⫖↰⪸8B2)⫞⩸⩒(⫖↰⪸11B7⫠)↛⩡⫤","cot":[{"info":"⫖↰⪸982⫁⪎⫖↰⪸2432=⫖↰⪸-1670","layer":3},{"info":"≦∁⫖↰⪸-1670=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1496⨥⫆⫖↰⪸8B2=⫖↰⪸1500","layer":3},{"info":"⫖↰⪸11B7⫠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1500⫞⩸⩒⫖↰⪸0=⫖↰⪸1500","layer":2},{"info":"⫖↰⪸57≹⇙⪍⫖↰⪸1500=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":445,"expression_no_base_symbol":"(⇾⩊⇾(($2564$⪎⩰)≬⇓$1241$⨥⫆$2731$))⨸(⨙⪌((≛$7394$)⫌⩉⩟(⩩$6325$)))","expression":"(⇾⩊⇾((⫖↰⪸1598⪎⩰)≬⇓⫖↰⪸875⨥⫆⫖↰⪸16B7))⨸(⨙⪌((≛⫖↰⪸4342)⫌⩉⩟(⩩⫖↰⪸37B1)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16286,"operation_count":9,"complexity_ratio":1809.5555555555557,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2564,"base":12}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1241,"base":12},"right_expr":{"type":"numeric_atoms","value":2731,"base":12}}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":7394,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":6325,"base":12}}}}},"used_operators":["KmoU8R5UQR","bx9Z9DAK5y","jWTQ2TZYIH","2ufhKmSs5H","yXekIHxTD4","vEGLkm4Z2k","XIIwhv8d0m","W7eaUhjymW","kMhfGuqI2H"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"⫖↰⪸274716","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":4},{"info":"compute unary expreesion, input=2564, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=2731, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5338","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=5338, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6486","layer":1},{"info":"number node, value=7394","layer":4},{"info":"compute unary expreesion, input=7394, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=6325","layer":4},{"info":"compute unary expreesion, input=6325, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-6486, right_input=868, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=650754","layer":0}],"base":12,"result_base":12,"text":"(⇾⩊⇾((⫖↰⪸1598⪎⩰)≬⇓⫖↰⪸875⨥⫆⫖↰⪸16B7))⨸(⨙⪌((≛⫖↰⪸4342)⫌⩉⩟(⩩⫖↰⪸37B1)))=⫖↰⪸274716","reverse_text":"⫖↰⪸274716=(⇾⩊⇾((⫖↰⪸1598⪎⩰)≬⇓⫖↰⪸875⨥⫆⫖↰⪸16B7))⨸(⨙⪌((≛⫖↰⪸4342)⫌⩉⩟(⩩⫖↰⪸37B1)))","cot":[{"info":"⫖↰⪸1598⪎⩰=⫖↰⪸-2A","layer":3},{"info":"⫖↰⪸875⨥⫆⫖↰⪸16B7=⫖↰⪸310A","layer":3},{"info":"⫖↰⪸-2A≬⇓⫖↰⪸310A=⫖↰⪸0","layer":2},{"info":"⇾⩊⇾⫖↰⪸0=⫖↰⪸-3906","layer":1},{"info":"≛⫖↰⪸4342=⫖↰⪸-A","layer":3},{"info":"⩩⫖↰⪸37B1=NaN","layer":3},{"info":"⫖↰⪸-A⫌⩉⩟NaN=⫖↰⪸-42","layer":2},{"info":"⨙⪌⫖↰⪸-42=⫖↰⪸604","layer":1},{"info":"⫖↰⪸-3906⨸⫖↰⪸604=⫖↰⪸274716","layer":0}]}
{"id":446,"expression_no_base_symbol":"(⪭⩑⪱$5324$⨚$1020$)⋾⨃∁(⨣⨃⇪(⩦⩻⨪$7344$))∷","expression":"(⪭⩑⪱⫖↰⪸30B8⨚⫖↰⪸710)⋾⨃∁(⨣⨃⇪(⩦⩻⨪⫖↰⪸4300))∷","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":539226,"operation_count":6,"complexity_ratio":89871.0,"tree":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5324,"base":12},"right_expr":{"type":"numeric_atoms","value":1020,"base":12}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7344,"base":12}}}}},"used_operators":["nFAOW8KTqp","212REbPD9h","SIgE0bArFf","nREPSIbpBE","AcOhelriW5","2td37pGCOC"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","BjRHVeLaeN","12rbrZMWeM","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸17995A00","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5324","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=5324, right_input=1020, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=7502","layer":3},{"info":"compute unary expreesion, input=7502, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=7344","layer":4},{"info":"compute unary expreesion, input=7344, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7344","layer":3},{"info":"compute unary expreesion, input=7344, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=1405, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=19723296","layer":1},{"info":"compute unary expreesion, input=19723296, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=59169888","layer":0}],"base":12,"result_base":12,"text":"(⪭⩑⪱⫖↰⪸30B8⨚⫖↰⪸710)⋾⨃∁(⨣⨃⇪(⩦⩻⨪⫖↰⪸4300))∷=⫖↰⪸17995A00","reverse_text":"⫖↰⪸17995A00=(⪭⩑⪱⫖↰⪸30B8⨚⫖↰⪸710)⋾⨃∁(⨣⨃⇪(⩦⩻⨪⫖↰⪸4300))∷","cot":[{"info":"⫖↰⪸30B8⨚⫖↰⪸710=⫖↰⪸4412","layer":3},{"info":"⪭⩑⪱⫖↰⪸4412=⫖↰⪸2953300","layer":2},{"info":"⩦⩻⨪⫖↰⪸4300=⫖↰⪸4300","layer":3},{"info":"⨣⨃⇪⫖↰⪸4300=⫖↰⪸991","layer":2},{"info":"⫖↰⪸2953300⋾⨃∁⫖↰⪸991=⫖↰⪸6731B40","layer":1},{"info":"⫖↰⪸6731B40∷=⫖↰⪸17995A00","layer":0}]}
{"id":447,"expression_no_base_symbol":"(($2563$⪍↜⋙$7618$∪⫐$2189$⪍↜⋙$4802$)⊉↱≁(($3348$≭$1769$)⩘($2560$∪⫐$3667$)))⋕⪉⪜($2816$⨔⇊$2203$∥⊢⊲(↞≼$3661$)⇆⨓≜)","expression":"((⫖↰⪸1597⪍↜⋙⫖↰⪸44AA∪⫐⫖↰⪸1325⪍↜⋙⫖↰⪸2942)⊉↱≁((⫖↰⪸1B30≭⫖↰⪸1035)⩘(⫖↰⪸1594∪⫐⫖↰⪸2157)))⋕⪉⪜(⫖↰⪸1768⨔⇊⫖↰⪸1337∥⊢⊲(↞≼⫖↰⪸2151)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":351,"operation_count":12,"complexity_ratio":29.25,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2563,"base":12},"right_expr":{"type":"numeric_atoms","value":7618,"base":12}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2189,"base":12},"right_expr":{"type":"numeric_atoms","value":4802,"base":12}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3348,"base":12},"right_expr":{"type":"numeric_atoms","value":1769,"base":12}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2560,"base":12},"right_expr":{"type":"numeric_atoms","value":3667,"base":12}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2816,"base":12},"right_expr":{"type":"numeric_atoms","value":2203,"base":12}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3661,"base":12}}}}},"used_operators":["z6LnFrNh4i","w2P8NbNXyL","7YooWSwCyH","L05ObWFQCd","cHh1gJQ2o6","rxpJgHHUmx","KvvgdUaMHJ","v1UQAVDJRr","JclMnS0uGI","DE7zCoGJt9"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","AHs5Up7iyr","Uaa54Peajs","KYD54nUTWz","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"⫖↰⪸150","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2563","layer":4},{"info":"number node, value=7618","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=7618, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-28834","layer":3},{"info":"number node, value=2189","layer":4},{"info":"number node, value=4802","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=4802, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-21332","layer":3},{"info":"compute binary expreesion, left_input=-28834, right_input=-21332, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-28834","layer":2},{"info":"number node, value=3348","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=3348, right_input=1769, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2560","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=3667, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2560","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2560, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-28834, right_input=160, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-290414","layer":1},{"info":"number node, value=2816","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=2816, right_input=2203, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2203","layer":3},{"info":"number node, value=3661","layer":4},{"info":"compute unary expreesion, input=3661, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=28874","layer":3},{"info":"compute binary expreesion, left_input=2203, right_input=28874, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-290414, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1597⪍↜⋙⫖↰⪸44AA∪⫐⫖↰⪸1325⪍↜⋙⫖↰⪸2942)⊉↱≁((⫖↰⪸1B30≭⫖↰⪸1035)⩘(⫖↰⪸1594∪⫐⫖↰⪸2157)))⋕⪉⪜(⫖↰⪸1768⨔⇊⫖↰⪸1337∥⊢⊲(↞≼⫖↰⪸2151)⇆⨓≜)=⫖↰⪸150","reverse_text":"⫖↰⪸150=((⫖↰⪸1597⪍↜⋙⫖↰⪸44AA∪⫐⫖↰⪸1325⪍↜⋙⫖↰⪸2942)⊉↱≁((⫖↰⪸1B30≭⫖↰⪸1035)⩘(⫖↰⪸1594∪⫐⫖↰⪸2157)))⋕⪉⪜(⫖↰⪸1768⨔⇊⫖↰⪸1337∥⊢⊲(↞≼⫖↰⪸2151)⇆⨓≜)","cot":[{"info":"⫖↰⪸1597⪍↜⋙⫖↰⪸44AA=⫖↰⪸-1482A","layer":3},{"info":"⫖↰⪸1325⪍↜⋙⫖↰⪸2942=⫖↰⪸-10418","layer":3},{"info":"⫖↰⪸-1482A∪⫐⫖↰⪸-10418=⫖↰⪸-1482A","layer":2},{"info":"⫖↰⪸1B30≭⫖↰⪸1035=NaN","layer":3},{"info":"⫖↰⪸1594∪⫐⫖↰⪸2157=⫖↰⪸1594","layer":3},{"info":"NaN⩘⫖↰⪸1594=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-1482A⊉↱≁⫖↰⪸114=⫖↰⪸-120092","layer":1},{"info":"⫖↰⪸1768⨔⇊⫖↰⪸1337=⫖↰⪸1337","layer":3},{"info":"↞≼⫖↰⪸2151=⫖↰⪸14862","layer":3},{"info":"⫖↰⪸1337∥⊢⊲⫖↰⪸14862=NaN","layer":2},{"info":"NaN⇆⨓≜=NaN","layer":1},{"info":"⫖↰⪸-120092⋕⪉⪜NaN=⫖↰⪸150","layer":0}]}
{"id":448,"expression_no_base_symbol":"⪨⨬(($3082$→⨶⪴$2996$∠↢$1052$⨽∌$2167$)⋫)","expression":"⪨⨬((⫖↰⪸194A→⨶⪴⫖↰⪸1898∠↢⫖↰⪸738⨽∌⫖↰⪸1307)⋫)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37129,"operation_count":5,"complexity_ratio":7425.8,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3082,"base":12},"right_expr":{"type":"numeric_atoms","value":2996,"base":12}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1052,"base":12},"right_expr":{"type":"numeric_atoms","value":2167,"base":12}}}}},"used_operators":["5obUd6DV38","JL8yIekQnl","KbjG8mgYpV","bF6eod5Gvf","9samAPKr6k"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","tmPS8pqC7x","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⫖↰⪸-37A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3082","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=2996, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8988","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=2167, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8988, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=37034","layer":2},{"info":"compute unary expreesion, input=37034, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=37034","layer":1},{"info":"compute unary expreesion, input=37034, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":12,"result_base":12,"text":"⪨⨬((⫖↰⪸194A→⨶⪴⫖↰⪸1898∠↢⫖↰⪸738⨽∌⫖↰⪸1307)⋫)=⫖↰⪸-37A","reverse_text":"⫖↰⪸-37A=⪨⨬((⫖↰⪸194A→⨶⪴⫖↰⪸1898∠↢⫖↰⪸738⨽∌⫖↰⪸1307)⋫)","cot":[{"info":"⫖↰⪸194A→⨶⪴⫖↰⪸1898=⫖↰⪸-5250","layer":3},{"info":"⫖↰⪸738⨽∌⫖↰⪸1307=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-5250∠↢⫖↰⪸0=⫖↰⪸19522","layer":2},{"info":"⫖↰⪸19522⋫=⫖↰⪸19522","layer":1},{"info":"⪨⨬⫖↰⪸19522=⫖↰⪸-37A","layer":0}]}
{"id":449,"expression_no_base_symbol":"(↣≠⋷($3348$⪨≂$2420$))⇴∐(($6578$⨸⪁$1034$)≓∲$6383$⨂≜$1044$)⩹(⋗⩴⪓$1551$⪒⊣⊆$2367$)⩺⪪(($5185$⨝⩣∺)⫦⪉$4894$≎⊠⪸$1193$)","expression":"(↣≠⋷(⫖↰⪸1B30⪨≂⫖↰⪸1498))⇴∐((⫖↰⪸3982⨸⪁⫖↰⪸722)≓∲⫖↰⪸383B⨂≜⫖↰⪸730)⩹(⋗⩴⪓⫖↰⪸A93⪒⊣⊆⫖↰⪸1453)⩺⪪((⫖↰⪸3001⨝⩣∺)⫦⪉⫖↰⪸29BA≎⊠⪸⫖↰⪸835)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10073,"operation_count":13,"complexity_ratio":774.8461538461538,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3348,"base":12},"right_expr":{"type":"numeric_atoms","value":2420,"base":12}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6578,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6383,"base":12},"right_expr":{"type":"numeric_atoms","value":1044,"base":12}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1551,"base":12},"right_expr":{"type":"numeric_atoms","value":2367,"base":12}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":5185,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4894,"base":12},"right_expr":{"type":"numeric_atoms","value":1193,"base":12}}}}},"used_operators":["2Wsdkap16l","HnzytWxmAO","Asc51vEJeQ","sdazOOVcIp","s1XTVnmDOJ","g55IO6H4Gj","k1SHOSEABc","uvdQJvN4PV","nOKPl9n5zu","eRqsBgTDFp","wscyQdcy20","ancx8kZcWl","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫖↰⪸-1078","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3348","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=3348, right_input=2420, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1958","layer":3},{"info":"compute unary expreesion, input=1958, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=6578","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=6578, right_input=1034, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15224","layer":3},{"info":"number node, value=6383","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=6383, right_input=1044, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15224, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=1551","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=2367, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3102","layer":3},{"info":"compute unary expreesion, input=3102, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2189","layer":2},{"info":"number node, value=5185","layer":4},{"info":"compute unary expreesion, input=5185, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-10370","layer":3},{"info":"number node, value=4894","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=4894, right_input=1193, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1267073","layer":3},{"info":"compute binary expreesion, left_input=-10370, right_input=1267073, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=24578","layer":2},{"info":"compute binary expreesion, left_input=-2189, right_input=24578, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-1820","layer":0}],"base":12,"result_base":12,"text":"(↣≠⋷(⫖↰⪸1B30⪨≂⫖↰⪸1498))⇴∐((⫖↰⪸3982⨸⪁⫖↰⪸722)≓∲⫖↰⪸383B⨂≜⫖↰⪸730)⩹(⋗⩴⪓⫖↰⪸A93⪒⊣⊆⫖↰⪸1453)⩺⪪((⫖↰⪸3001⨝⩣∺)⫦⪉⫖↰⪸29BA≎⊠⪸⫖↰⪸835)=⫖↰⪸-1078","reverse_text":"⫖↰⪸-1078=(↣≠⋷(⫖↰⪸1B30⪨≂⫖↰⪸1498))⇴∐((⫖↰⪸3982⨸⪁⫖↰⪸722)≓∲⫖↰⪸383B⨂≜⫖↰⪸730)⩹(⋗⩴⪓⫖↰⪸A93⪒⊣⊆⫖↰⪸1453)⩺⪪((⫖↰⪸3001⨝⩣∺)⫦⪉⫖↰⪸29BA≎⊠⪸⫖↰⪸835)","cot":[{"info":"⫖↰⪸1B30⪨≂⫖↰⪸1498=⫖↰⪸1172","layer":3},{"info":"↣≠⋷⫖↰⪸1172=NaN","layer":2},{"info":"⫖↰⪸3982⨸⪁⫖↰⪸722=⫖↰⪸8988","layer":3},{"info":"⫖↰⪸383B⨂≜⫖↰⪸730=NaN","layer":3},{"info":"⫖↰⪸8988≓∲NaN=NaN","layer":2},{"info":"NaN⇴∐NaN=NaN","layer":1},{"info":"⫖↰⪸A93⪒⊣⊆⫖↰⪸1453=⫖↰⪸1966","layer":3},{"info":"⋗⩴⪓⫖↰⪸1966=⫖↰⪸-1325","layer":2},{"info":"⫖↰⪸3001⨝⩣∺=⫖↰⪸-6002","layer":3},{"info":"⫖↰⪸29BA≎⊠⪸⫖↰⪸835=⫖↰⪸511315","layer":3},{"info":"⫖↰⪸-6002⫦⪉⫖↰⪸511315=⫖↰⪸12282","layer":2},{"info":"⫖↰⪸-1325⩺⪪⫖↰⪸12282=⫖↰⪸-1076","layer":1},{"info":"NaN⩹⫖↰⪸-1076=⫖↰⪸-1078","layer":0}]}
{"id":450,"expression_no_base_symbol":"((⇵⪽$1378$)⨂≜($1151$⫉⨲⊜$4277$)+⪬∐(↨⩢⫨$1099$)⨿$1565$⨿$3004$)⪎↠(($6856$⨓$2247$)∥⊢⊲($1632$⪭≯$4978$)⫚↹⊑$4700$↞⋁$3253$↹⊜($5152$⨓$2984$))","expression":"((⇵⪽⫖↰⪸96A)⨂≜(⫖↰⪸7BB⫉⨲⊜⫖↰⪸2585)+⪬∐(↨⩢⫨⫖↰⪸777)⨿⫖↰⪸AA5⨿⫖↰⪸18A4)⪎↠((⫖↰⪸3B74⨓⫖↰⪸1373)∥⊢⊲(⫖↰⪸B40⪭≯⫖↰⪸2A6A)⫚↹⊑⫖↰⪸2878↞⋁⫖↰⪸1A71↹⊜(⫖↰⪸2B94⨓⫖↰⪸1888))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6241,"operation_count":15,"complexity_ratio":416.06666666666666,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1378,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1151,"base":12},"right_expr":{"type":"numeric_atoms","value":4277,"base":12}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1099,"base":12}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1565,"base":12},"right_expr":{"type":"numeric_atoms","value":3004,"base":12}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6856,"base":12},"right_expr":{"type":"numeric_atoms","value":2247,"base":12}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1632,"base":12},"right_expr":{"type":"numeric_atoms","value":4978,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4700,"base":12},"right_expr":{"type":"numeric_atoms","value":3253,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5152,"base":12},"right_expr":{"type":"numeric_atoms","value":2984,"base":12}}}}},"used_operators":["3tVxb0NHM4","2GS7woTJqF","k1SHOSEABc","ZGCBLdVRRX","WhqkvtTD3t","abYXlopdE0","Z5CJsN7DuW","dfKe02y8D2","v1UQAVDJRr","3ViojmjbAp","XAx5wpdLa6","9bazX3JMtO","RqrPlJkxDo"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","U7g4x0WXJJ","eewbuw0ToL","zVYPLywUTj","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=4277","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=4277, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=3004, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-319, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=121, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"number node, value=6856","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=6856, right_input=2247, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2250","layer":3},{"info":"number node, value=1632","layer":4},{"info":"number node, value=4978","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=4978, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2250, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=4700","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=4700, right_input=3253, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=5152","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=5152, right_input=2984, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2987","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2987, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇵⪽⫖↰⪸96A)⨂≜(⫖↰⪸7BB⫉⨲⊜⫖↰⪸2585)+⪬∐(↨⩢⫨⫖↰⪸777)⨿⫖↰⪸AA5⨿⫖↰⪸18A4)⪎↠((⫖↰⪸3B74⨓⫖↰⪸1373)∥⊢⊲(⫖↰⪸B40⪭≯⫖↰⪸2A6A)⫚↹⊑⫖↰⪸2878↞⋁⫖↰⪸1A71↹⊜(⫖↰⪸2B94⨓⫖↰⪸1888))=NaN","reverse_text":"NaN=((⇵⪽⫖↰⪸96A)⨂≜(⫖↰⪸7BB⫉⨲⊜⫖↰⪸2585)+⪬∐(↨⩢⫨⫖↰⪸777)⨿⫖↰⪸AA5⨿⫖↰⪸18A4)⪎↠((⫖↰⪸3B74⨓⫖↰⪸1373)∥⊢⊲(⫖↰⪸B40⪭≯⫖↰⪸2A6A)⫚↹⊑⫖↰⪸2878↞⋁⫖↰⪸1A71↹⊜(⫖↰⪸2B94⨓⫖↰⪸1888))","cot":[{"info":"⇵⪽⫖↰⪸96A=NaN","layer":3},{"info":"⫖↰⪸7BB⫉⨲⊜⫖↰⪸2585=⫖↰⪸0","layer":3},{"info":"NaN⨂≜⫖↰⪸0=NaN","layer":2},{"info":"↨⩢⫨⫖↰⪸777=⫖↰⪸0","layer":3},{"info":"⫖↰⪸AA5⨿⫖↰⪸18A4=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸0⨿⫖↰⪸-227=⫖↰⪸A1","layer":2},{"info":"NaN+⪬∐⫖↰⪸A1=NaN","layer":1},{"info":"⫖↰⪸3B74⨓⫖↰⪸1373=⫖↰⪸-1376","layer":3},{"info":"⫖↰⪸B40⪭≯⫖↰⪸2A6A=NaN","layer":3},{"info":"⫖↰⪸-1376∥⊢⊲NaN=NaN","layer":2},{"info":"⫖↰⪸2878↞⋁⫖↰⪸1A71=NaN","layer":3},{"info":"⫖↰⪸2B94⨓⫖↰⪸1888=⫖↰⪸-188B","layer":3},{"info":"NaN↹⊜⫖↰⪸-188B=NaN","layer":2},{"info":"NaN⫚↹⊑NaN=⫖↰⪸-313","layer":1},{"info":"NaN⪎↠⫖↰⪸-313=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"($3504$≎⪠$8080$⪒$1881$↬$2799$)⊉↱≁(⋣($3625$∁))/(⊆⋠($1510$⨚⇆$4954$))≳⇉(≻⋜($3868$∷$1530$))","expression":"(⫖↰⪸2040≎⪠⫖↰⪸4814⪒⫖↰⪸1109↬⫖↰⪸1753)⊉↱≁(⋣(⫖↰⪸2121∁))/(⊆⋠(⫖↰⪸A5A⨚⇆⫖↰⪸2A4A))≳⇉(≻⋜(⫖↰⪸22A4∷⫖↰⪸A76))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39535,"operation_count":12,"complexity_ratio":3294.5833333333335,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3504,"base":12},"right_expr":{"type":"numeric_atoms","value":8080,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1881,"base":12},"right_expr":{"type":"numeric_atoms","value":2799,"base":12}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":3625,"base":12}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1510,"base":12},"right_expr":{"type":"numeric_atoms","value":4954,"base":12}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3868,"base":12},"right_expr":{"type":"numeric_atoms","value":1530,"base":12}}}}},"used_operators":["XhwjNDsVaA","w2P8NbNXyL","f6k1SAg4EE","aNhz54LH3e","B5M0gjZbta","zQWRhDnn8F","jdwGQqwJi5","V0kx6qeWkN","EBhcHTkKd8","lwHaAYXP2r","3tj9sqzovi","D3AQDKkPcf"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rGHVDoGpnC","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","2DDjHMKMc0","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3504","layer":4},{"info":"number node, value=8080","layer":4},{"info":"compute binary expreesion, left_input=3504, right_input=8080, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1881","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=2799, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3625","layer":4},{"info":"compute unary expreesion, input=3625, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=3625","layer":3},{"info":"compute unary expreesion, input=3625, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1065655","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1065655, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=1510","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=4954, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=3868","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=3868, right_input=1530, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1530","layer":3},{"info":"compute unary expreesion, input=1530, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2040≎⪠⫖↰⪸4814⪒⫖↰⪸1109↬⫖↰⪸1753)⊉↱≁(⋣(⫖↰⪸2121∁))/(⊆⋠(⫖↰⪸A5A⨚⇆⫖↰⪸2A4A))≳⇉(≻⋜(⫖↰⪸22A4∷⫖↰⪸A76))=NaN","reverse_text":"NaN=(⫖↰⪸2040≎⪠⫖↰⪸4814⪒⫖↰⪸1109↬⫖↰⪸1753)⊉↱≁(⋣(⫖↰⪸2121∁))/(⊆⋠(⫖↰⪸A5A⨚⇆⫖↰⪸2A4A))≳⇉(≻⋜(⫖↰⪸22A4∷⫖↰⪸A76))","cot":[{"info":"⫖↰⪸2040≎⪠⫖↰⪸4814=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸1109↬⫖↰⪸1753=NaN","layer":3},{"info":"⫖↰⪸B39A⪒NaN=NaN","layer":2},{"info":"⫖↰⪸2121∁=⫖↰⪸2121","layer":3},{"info":"⋣⫖↰⪸2121=⫖↰⪸-434847","layer":2},{"info":"NaN⊉↱≁⫖↰⪸-434847=NaN","layer":1},{"info":"⫖↰⪸A5A⨚⇆⫖↰⪸2A4A=NaN","layer":3},{"info":"⊆⋠NaN=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸22A4∷⫖↰⪸A76=⫖↰⪸A76","layer":3},{"info":"≻⋜⫖↰⪸A76=NaN","layer":2},{"info":"⫖↰⪸2377≳⇉NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"⩎⋉(($5291$∖$1388$)≁($5212$⩺⪪$6335$)⨑≵⋬(≅≯⇸$6264$⨻⩈⩔$4464$))","expression":"⩎⋉((⫖↰⪸308B∖⫖↰⪸978)≁(⫖↰⪸3024⩺⪪⫖↰⪸37BB)⨑≵⋬(≅≯⇸⫖↰⪸3760⨻⩈⩔⫖↰⪸2700))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":641,"operation_count":7,"complexity_ratio":91.57142857142857,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5291,"base":12},"right_expr":{"type":"numeric_atoms","value":1388,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5212,"base":12},"right_expr":{"type":"numeric_atoms","value":6335,"base":12}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6264,"base":12},"right_expr":{"type":"numeric_atoms","value":4464,"base":12}}}}},"used_operators":["FlXk3pOYe8","XnXgA4xnOs","8N2wDY1A35","tXD093vOjl","uvdQJvN4PV","apS25hmuAe","nEsXyWgiOK"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","EBcxylXtPf","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5291","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=5291, right_input=1388, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=5212","layer":4},{"info":"number node, value=6335","layer":4},{"info":"compute binary expreesion, left_input=5212, right_input=6335, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1818, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"number node, value=6264","layer":4},{"info":"number node, value=4464","layer":4},{"info":"compute binary expreesion, left_input=6264, right_input=4464, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=41711","layer":3},{"info":"compute unary expreesion, input=41711, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=174521","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=174521, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩎⋉((⫖↰⪸308B∖⫖↰⪸978)≁(⫖↰⪸3024⩺⪪⫖↰⪸37BB)⨑≵⋬(≅≯⇸⫖↰⪸3760⨻⩈⩔⫖↰⪸2700))=NaN","reverse_text":"NaN=⩎⋉((⫖↰⪸308B∖⫖↰⪸978)≁(⫖↰⪸3024⩺⪪⫖↰⪸37BB)⨑≵⋬(≅≯⇸⫖↰⪸3760⨻⩈⩔⫖↰⪸2700))","cot":[{"info":"⫖↰⪸308B∖⫖↰⪸978=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3024⩺⪪⫖↰⪸37BB=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸0≁⫖↰⪸-1076=NaN","layer":2},{"info":"⫖↰⪸3760⨻⩈⩔⫖↰⪸2700=⫖↰⪸2017B","layer":3},{"info":"≅≯⇸⫖↰⪸2017B=⫖↰⪸84BB5","layer":2},{"info":"NaN⨑≵⋬⫖↰⪸84BB5=NaN","layer":1},{"info":"⩎⋉NaN=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"≛(($3328$⨑≵⋬$1564$)⋾⨃∁($1311$⇋≉)⨵⪆(∥⊫$2336$⪇≇⋚$1107$))","expression":"≛((⫖↰⪸1B14⨑≵⋬⫖↰⪸AA4)⋾⨃∁(⫖↰⪸913⇋≉)⨵⪆(∥⊫⫖↰⪸1428⪇≇⋚⫖↰⪸783))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2611,"operation_count":7,"complexity_ratio":373.0,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3328,"base":12},"right_expr":{"type":"numeric_atoms","value":1564,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1311,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2336,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}}}}},"used_operators":["W7eaUhjymW","2DQ55sFlQl","212REbPD9h","XnXgA4xnOs","XIabStNQrY","P8v4zCKN1o","3sJ7IOPOlU"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⫖↰⪸-A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3328","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=3328, right_input=1564, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=7071","layer":3},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2524","layer":3},{"info":"compute binary expreesion, left_input=7071, right_input=2524, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=63675378","layer":2},{"info":"number node, value=2336","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=2336, right_input=1107, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=63675378, right_input=868, 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 = 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":0}],"base":12,"result_base":12,"text":"≛((⫖↰⪸1B14⨑≵⋬⫖↰⪸AA4)⋾⨃∁(⫖↰⪸913⇋≉)⨵⪆(∥⊫⫖↰⪸1428⪇≇⋚⫖↰⪸783))=⫖↰⪸-A","reverse_text":"⫖↰⪸-A=≛((⫖↰⪸1B14⨑≵⋬⫖↰⪸AA4)⋾⨃∁(⫖↰⪸913⇋≉)⨵⪆(∥⊫⫖↰⪸1428⪇≇⋚⫖↰⪸783))","cot":[{"info":"⫖↰⪸1B14⨑≵⋬⫖↰⪸AA4=⫖↰⪸4113","layer":3},{"info":"⫖↰⪸913⇋≉=⫖↰⪸1564","layer":3},{"info":"⫖↰⪸4113⋾⨃∁⫖↰⪸1564=⫖↰⪸193A9216","layer":2},{"info":"⫖↰⪸1428⪇≇⋚⫖↰⪸783=⫖↰⪸0","layer":3},{"info":"∥⊫⫖↰⪸0=⫖↰⪸604","layer":2},{"info":"⫖↰⪸193A9216⨵⪆⫖↰⪸604=⫖↰⪸114","layer":1},{"info":"≛⫖↰⪸114=⫖↰⪸-A","layer":0}]}
{"id":454,"expression_no_base_symbol":"((($3766$⊿∆)⊧↖)≨($1639$⨜⨶$1009$⫃⨇$4714$≳⇉$2194$))≴⪞⇿((⫯($2876$⫁⪎$3943$))∝(($1362$⋘⨑⨽)∪⫐($1116$⩅⪻⪻)))","expression":"(((⫖↰⪸221A⊿∆)⊧↖)≨(⫖↰⪸B47⨜⨶⫖↰⪸701⫃⨇⫖↰⪸288A≳⇉⫖↰⪸132A))≴⪞⇿((⫯(⫖↰⪸17B8⫁⪎⫖↰⪸2347))∝((⫖↰⪸956⋘⨑⨽)∪⫐(⫖↰⪸790⩅⪻⪻)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":75030508,"operation_count":13,"complexity_ratio":5771577.538461538,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":3766,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1639,"base":12},"right_expr":{"type":"numeric_atoms","value":1009,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4714,"base":12},"right_expr":{"type":"numeric_atoms","value":2194,"base":12}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2876,"base":12},"right_expr":{"type":"numeric_atoms","value":3943,"base":12}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":1362,"base":12}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1116,"base":12}}}}},"used_operators":["lvlrscuwVU","0KMCeP1Jsh","EKiFHuOFxO","fv3ZujxkQL","09Ly4LVMIf","HiPekx5b7W","V0kx6qeWkN","cTDWOvIxvz","H6BK1Evt7c","xRrnTEsQ6j","7YooWSwCyH","WmT3o8z6ya","kHoXpA7yos"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","NTOWxs364D","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","7j4O788W3g","W4YGzv6Whe","COABgblf1C","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3766","layer":4},{"info":"compute unary expreesion, input=3766, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-7653","layer":3},{"info":"compute unary expreesion, input=-7653, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=351361664","layer":2},{"info":"number node, value=1639","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=1009, 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=-1762","layer":3},{"info":"number node, value=4714","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=4714, right_input=2194, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1762, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=351361664, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=inf","layer":1},{"info":"number node, value=2876","layer":4},{"info":"number node, value=3943","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=3943, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1067","layer":3},{"info":"compute unary expreesion, input=-1067, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=41694","layer":2},{"info":"number node, value=1362","layer":4},{"info":"compute unary expreesion, input=1362, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=7593","layer":3},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-164593","layer":3},{"info":"compute binary expreesion, left_input=7593, right_input=-164593, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7593","layer":2},{"info":"compute binary expreesion, left_input=41694, right_input=7593, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=41699","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=41699, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸221A⊿∆)⊧↖)≨(⫖↰⪸B47⨜⨶⫖↰⪸701⫃⨇⫖↰⪸288A≳⇉⫖↰⪸132A))≴⪞⇿((⫯(⫖↰⪸17B8⫁⪎⫖↰⪸2347))∝((⫖↰⪸956⋘⨑⨽)∪⫐(⫖↰⪸790⩅⪻⪻)))=NaN","reverse_text":"NaN=(((⫖↰⪸221A⊿∆)⊧↖)≨(⫖↰⪸B47⨜⨶⫖↰⪸701⫃⨇⫖↰⪸288A≳⇉⫖↰⪸132A))≴⪞⇿((⫯(⫖↰⪸17B8⫁⪎⫖↰⪸2347))∝((⫖↰⪸956⋘⨑⨽)∪⫐(⫖↰⪸790⩅⪻⪻)))","cot":[{"info":"⫖↰⪸221A⊿∆=⫖↰⪸-4519","layer":3},{"info":"⫖↰⪸-4519⊧↖=⫖↰⪸99806368","layer":2},{"info":"⫖↰⪸B47⨜⨶⫖↰⪸701=⫖↰⪸-102A","layer":3},{"info":"⫖↰⪸288A≳⇉⫖↰⪸132A=NaN","layer":3},{"info":"⫖↰⪸-102A⫃⨇NaN=NaN","layer":2},{"info":"⫖↰⪸99806368≨NaN=Inf","layer":1},{"info":"⫖↰⪸17B8⫁⪎⫖↰⪸2347=⫖↰⪸-74B","layer":3},{"info":"⫯⫖↰⪸-74B=⫖↰⪸20166","layer":2},{"info":"⫖↰⪸956⋘⨑⨽=⫖↰⪸4489","layer":3},{"info":"⫖↰⪸790⩅⪻⪻=⫖↰⪸-7B301","layer":3},{"info":"⫖↰⪸4489∪⫐⫖↰⪸-7B301=⫖↰⪸4489","layer":2},{"info":"⫖↰⪸20166∝⫖↰⪸4489=⫖↰⪸2016B","layer":1},{"info":"Inf≴⪞⇿⫖↰⪸2016B=NaN","layer":0}]}
{"id":455,"expression_no_base_symbol":"⩩(⪓⩚(⋗⩬⋾$1253$⩼⇪↪$2398$))","expression":"⩩(⪓⩚(⋗⩬⋾⫖↰⪸885⩼⇪↪⫖↰⪸147A))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":186218,"operation_count":4,"complexity_ratio":46554.5,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1253,"base":12},"right_expr":{"type":"numeric_atoms","value":2398,"base":12}}}}},"used_operators":["kMhfGuqI2H","u0R0Locfp2","DpFCA1CohY","ocnLzx9CaJ"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=2398, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-15063","layer":3},{"info":"compute unary expreesion, input=-15063, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=45189","layer":2},{"info":"compute unary expreesion, input=45189, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute unary expreesion, input=426, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩩(⪓⩚(⋗⩬⋾⫖↰⪸885⩼⇪↪⫖↰⪸147A))=NaN","reverse_text":"NaN=⩩(⪓⩚(⋗⩬⋾⫖↰⪸885⩼⇪↪⫖↰⪸147A))","cot":[{"info":"⫖↰⪸885⩼⇪↪⫖↰⪸147A=⫖↰⪸-8873","layer":3},{"info":"⋗⩬⋾⫖↰⪸-8873=⫖↰⪸22199","layer":2},{"info":"⪓⩚⫖↰⪸22199=⫖↰⪸2B6","layer":1},{"info":"⩩⫖↰⪸2B6=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"(($3883$⨜⨶$2864$⫃⨇$1113$⩣⫁∢$3418$)⪛($1132$⫸⇳$1032$)⫯⪬∳$1883$∓⋝$2489$)⪟⇏((⊄⩳↩(↓⇌$5419$))≦↸(-$2461$⪍↜⋙$5033$))","expression":"((⫖↰⪸22B7⨜⨶⫖↰⪸17A8⫃⨇⫖↰⪸789⩣⫁∢⫖↰⪸1B8A)⪛(⫖↰⪸7A4⫸⇳⫖↰⪸720)⫯⪬∳⫖↰⪸110B∓⋝⫖↰⪸1535)⪟⇏((⊄⩳↩(↓⇌⫖↰⪸3177))≦↸(-⫖↰⪸1511⪍↜⋙⫖↰⪸2AB5))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":207,"operation_count":13,"complexity_ratio":15.923076923076923,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3883,"base":12},"right_expr":{"type":"numeric_atoms","value":2864,"base":12}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1113,"base":12},"right_expr":{"type":"numeric_atoms","value":3418,"base":12}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1132,"base":12},"right_expr":{"type":"numeric_atoms","value":1032,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1883,"base":12},"right_expr":{"type":"numeric_atoms","value":2489,"base":12}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":5419,"base":12}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2461,"base":12},"right_expr":{"type":"numeric_atoms","value":5033,"base":12}}}}},"used_operators":["GODebY97qR","uFcxV4UQCh","09Ly4LVMIf","HiPekx5b7W","JDUIKTTSIa","d7ASUq0ydm","gx7XJ7hdpj","PoHhknlbAi","RygbFNSyEJ","8w2t5hMYqp","PxpmPgHHJV","t8gj7n24qd","L05ObWFQCd"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3883","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=3883, right_input=2864, 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=-5472","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=3418, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2065","layer":3},{"info":"compute binary expreesion, left_input=-5472, right_input=-2065, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=8228","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=1032, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=2489, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=8228, right_input=-473, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-286","layer":1},{"info":"number node, value=5419","layer":4},{"info":"compute unary expreesion, input=5419, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=5419","layer":3},{"info":"compute unary expreesion, input=5419, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16257","layer":2},{"info":"number node, value=2461","layer":4},{"info":"number node, value=5033","layer":4},{"info":"compute binary expreesion, left_input=2461, right_input=5033, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-23154","layer":3},{"info":"compute unary expreesion, input=-23154, op_id = t8gj7n24qd, unary_op_definition = 'None', output=23154","layer":2},{"info":"compute binary expreesion, left_input=-16257, right_input=23154, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13113","layer":1},{"info":"compute binary expreesion, left_input=-286, right_input=-13113, 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":12,"result_base":12,"text":"((⫖↰⪸22B7⨜⨶⫖↰⪸17A8⫃⨇⫖↰⪸789⩣⫁∢⫖↰⪸1B8A)⪛(⫖↰⪸7A4⫸⇳⫖↰⪸720)⫯⪬∳⫖↰⪸110B∓⋝⫖↰⪸1535)⪟⇏((⊄⩳↩(↓⇌⫖↰⪸3177))≦↸(-⫖↰⪸1511⪍↜⋙⫖↰⪸2AB5))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸22B7⨜⨶⫖↰⪸17A8⫃⨇⫖↰⪸789⩣⫁∢⫖↰⪸1B8A)⪛(⫖↰⪸7A4⫸⇳⫖↰⪸720)⫯⪬∳⫖↰⪸110B∓⋝⫖↰⪸1535)⪟⇏((⊄⩳↩(↓⇌⫖↰⪸3177))≦↸(-⫖↰⪸1511⪍↜⋙⫖↰⪸2AB5))","cot":[{"info":"⫖↰⪸22B7⨜⨶⫖↰⪸17A8=⫖↰⪸-3200","layer":3},{"info":"⫖↰⪸789⩣⫁∢⫖↰⪸1B8A=⫖↰⪸-1241","layer":3},{"info":"⫖↰⪸-3200⫃⨇⫖↰⪸-1241=⫖↰⪸4918","layer":2},{"info":"⫖↰⪸7A4⫸⇳⫖↰⪸720=⫖↰⪸0","layer":3},{"info":"⫖↰⪸110B∓⋝⫖↰⪸1535=⫖↰⪸57","layer":3},{"info":"⫖↰⪸0⫯⪬∳⫖↰⪸57=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸4918⪛⫖↰⪸-335=⫖↰⪸-1BA","layer":1},{"info":"↓⇌⫖↰⪸3177=⫖↰⪸3177","layer":3},{"info":"⊄⩳↩⫖↰⪸3177=⫖↰⪸-94A9","layer":2},{"info":"⫖↰⪸1511⪍↜⋙⫖↰⪸2AB5=⫖↰⪸-11496","layer":3},{"info":"-⫖↰⪸-11496=⫖↰⪸11496","layer":2},{"info":"⫖↰⪸-94A9≦↸⫖↰⪸11496=⫖↰⪸-7709","layer":1},{"info":"⫖↰⪸-1BA⪟⇏⫖↰⪸-7709=⫖↰⪸0","layer":0}]}
{"id":457,"expression_no_base_symbol":"((⩦⊞$2405$)+⪬∐($1668$⪮%⊝$2374$)⇯⋐)⋷(⨦⪝($2132$≹⇙⪍$4346$))⨭⪣$1491$⨿$4902$⋛($9358$⫸⇳$6389$)","expression":"((⩦⊞⫖↰⪸1485)+⪬∐(⫖↰⪸B70⪮%⊝⫖↰⪸145A)⇯⋐)⋷(⨦⪝(⫖↰⪸1298≹⇙⪍⫖↰⪸2622))⨭⪣⫖↰⪸A43⨿⫖↰⪸2A06⋛(⫖↰⪸54BA⫸⇳⫖↰⪸3845)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":617,"operation_count":11,"complexity_ratio":56.09090909090909,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2405,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1668,"base":12},"right_expr":{"type":"numeric_atoms","value":2374,"base":12}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2132,"base":12},"right_expr":{"type":"numeric_atoms","value":4346,"base":12}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1491,"base":12},"right_expr":{"type":"numeric_atoms","value":4902,"base":12}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":9358,"base":12},"right_expr":{"type":"numeric_atoms","value":6389,"base":12}}}}},"used_operators":["23Mk6UjR3U","LkLIoiE525","2GS7woTJqF","u7fv1HBiaC","IWmyXbctLI","kn8WO9XteQ","SUjycxNXIR","AHs5Up7iyr","YbUVn0Rbpy","abYXlopdE0","gx7XJ7hdpj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","dWAJyo7jo9","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⫖↰⪸-A428","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2132","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=2374, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3652","layer":3},{"info":"compute binary expreesion, left_input=-2132, right_input=3652, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=6396","layer":2},{"info":"compute unary expreesion, input=6396, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=20066","layer":1},{"info":"number node, value=2132","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=4346, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=1491","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=4902, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=9358","layer":4},{"info":"number node, value=6389","layer":4},{"info":"compute binary expreesion, left_input=9358, right_input=6389, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=0, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124887","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=-124887, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1089","layer":1},{"info":"compute binary expreesion, left_input=20066, right_input=1089, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-17888","layer":0}],"base":12,"result_base":12,"text":"((⩦⊞⫖↰⪸1485)+⪬∐(⫖↰⪸B70⪮%⊝⫖↰⪸145A)⇯⋐)⋷(⨦⪝(⫖↰⪸1298≹⇙⪍⫖↰⪸2622))⨭⪣⫖↰⪸A43⨿⫖↰⪸2A06⋛(⫖↰⪸54BA⫸⇳⫖↰⪸3845)=⫖↰⪸-A428","reverse_text":"⫖↰⪸-A428=((⩦⊞⫖↰⪸1485)+⪬∐(⫖↰⪸B70⪮%⊝⫖↰⪸145A)⇯⋐)⋷(⨦⪝(⫖↰⪸1298≹⇙⪍⫖↰⪸2622))⨭⪣⫖↰⪸A43⨿⫖↰⪸2A06⋛(⫖↰⪸54BA⫸⇳⫖↰⪸3845)","cot":[{"info":"⩦⊞⫖↰⪸1485=⫖↰⪸-1298","layer":3},{"info":"⫖↰⪸B70⪮%⊝⫖↰⪸145A=⫖↰⪸2144","layer":3},{"info":"⫖↰⪸-1298+⪬∐⫖↰⪸2144=⫖↰⪸3850","layer":2},{"info":"⫖↰⪸3850⇯⋐=⫖↰⪸B742","layer":1},{"info":"⫖↰⪸1298≹⇙⪍⫖↰⪸2622=NaN","layer":3},{"info":"⨦⪝NaN=⫖↰⪸-1110","layer":2},{"info":"⫖↰⪸A43⨿⫖↰⪸2A06=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸54BA⫸⇳⫖↰⪸3845=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-227⋛⫖↰⪸0=⫖↰⪸-60333","layer":2},{"info":"⫖↰⪸-1110⨭⪣⫖↰⪸-60333=⫖↰⪸769","layer":1},{"info":"⫖↰⪸B742⋷⫖↰⪸769=⫖↰⪸-A428","layer":0}]}
{"id":458,"expression_no_base_symbol":"(($4546$≚⊃≕$1155$⫌⩹⨱)⊱⇼⊻(⇁⨣⪵$5265$)⊕∕($1721$⇣⩺⋵$1281$))⊱⇼⊻(($1375$∀⇚≩$1560$⫠↝⫳)⪇≇⋚($3201$⋾⨃∁$1295$⊨$2766$⫁⪎$1205$))","expression":"((⫖↰⪸276A≚⊃≕⫖↰⪸803⫌⩹⨱)⊱⇼⊻(⇁⨣⪵⫖↰⪸3069)⊕∕(⫖↰⪸BB5⇣⩺⋵⫖↰⪸8A9))⊱⇼⊻((⫖↰⪸967∀⇚≩⫖↰⪸AA0⫠↝⫳)⪇≇⋚(⫖↰⪸1A29⋾⨃∁⫖↰⪸8BB⊨⫖↰⪸1726⫁⪎⫖↰⪸845))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11098,"operation_count":13,"complexity_ratio":853.6923076923077,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4546,"base":12},"right_expr":{"type":"numeric_atoms","value":1155,"base":12}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5265,"base":12}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1721,"base":12},"right_expr":{"type":"numeric_atoms","value":1281,"base":12}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1375,"base":12},"right_expr":{"type":"numeric_atoms","value":1560,"base":12}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3201,"base":12},"right_expr":{"type":"numeric_atoms","value":1295,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2766,"base":12},"right_expr":{"type":"numeric_atoms","value":1205,"base":12}}}}},"used_operators":["FyVja0WsTP","EBcxylXtPf","Bmrmz2XGnR","9cloC0Ngie","inkyxCbjAn","F4yD0voBRQ","3sJ7IOPOlU","8n5YIzOsVS","LRNGc0VcxI","vg4gO5BX6G","212REbPD9h","xRrnTEsQ6j"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","X99M06cbEe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫖↰⪸302","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4546","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=4546, right_input=1155, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1535","layer":2},{"info":"number node, value=5265","layer":4},{"info":"compute unary expreesion, input=5265, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1721","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=1281, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1535, right_input=nan, 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=1375","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1560, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":2},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1295, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=16754616","layer":3},{"info":"number node, value=2766","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=2766, right_input=1205, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1561","layer":3},{"info":"compute binary expreesion, left_input=16754616, right_input=1561, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=67019495","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67019495, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸276A≚⊃≕⫖↰⪸803⫌⩹⨱)⊱⇼⊻(⇁⨣⪵⫖↰⪸3069)⊕∕(⫖↰⪸BB5⇣⩺⋵⫖↰⪸8A9))⊱⇼⊻((⫖↰⪸967∀⇚≩⫖↰⪸AA0⫠↝⫳)⪇≇⋚(⫖↰⪸1A29⋾⨃∁⫖↰⪸8BB⊨⫖↰⪸1726⫁⪎⫖↰⪸845))=⫖↰⪸302","reverse_text":"⫖↰⪸302=((⫖↰⪸276A≚⊃≕⫖↰⪸803⫌⩹⨱)⊱⇼⊻(⇁⨣⪵⫖↰⪸3069)⊕∕(⫖↰⪸BB5⇣⩺⋵⫖↰⪸8A9))⊱⇼⊻((⫖↰⪸967∀⇚≩⫖↰⪸AA0⫠↝⫳)⪇≇⋚(⫖↰⪸1A29⋾⨃∁⫖↰⪸8BB⊨⫖↰⪸1726⫁⪎⫖↰⪸845))","cot":[{"info":"⫖↰⪸276A≚⊃≕⫖↰⪸803=⫖↰⪸57","layer":3},{"info":"⫖↰⪸57⫌⩹⨱=⫖↰⪸A7B","layer":2},{"info":"⇁⨣⪵⫖↰⪸3069=NaN","layer":3},{"info":"⫖↰⪸BB5⇣⩺⋵⫖↰⪸8A9=⫖↰⪸-198","layer":3},{"info":"NaN⊕∕⫖↰⪸-198=NaN","layer":2},{"info":"⫖↰⪸A7B⊱⇼⊻NaN=⫖↰⪸302","layer":1},{"info":"⫖↰⪸967∀⇚≩⫖↰⪸AA0=NaN","layer":3},{"info":"NaN⫠↝⫳=NaN","layer":2},{"info":"⫖↰⪸1A29⋾⨃∁⫖↰⪸8BB=⫖↰⪸573BB60","layer":3},{"info":"⫖↰⪸1726⫁⪎⫖↰⪸845=⫖↰⪸AA1","layer":3},{"info":"⫖↰⪸573BB60⊨⫖↰⪸AA1=⫖↰⪸1A54051B","layer":2},{"info":"NaN⪇≇⋚⫖↰⪸1A54051B=NaN","layer":1},{"info":"⫖↰⪸302⊱⇼⊻NaN=⫖↰⪸302","layer":0}]}
{"id":459,"expression_no_base_symbol":"(⫛⫱⨽($1526$∊∟⩊$3586$⫰⋱$7013$⋛$5662$))≀⫉(($2221$⇉⇉)⫣⪄⊒($1703$⪕$2446$)⩧⪆(≯(⋃$1192$)))","expression":"(⫛⫱⨽(⫖↰⪸A72∊∟⩊⫖↰⪸20AA⫰⋱⫖↰⪸4085⋛⫖↰⪸333A))≀⫉((⫖↰⪸1351⇉⇉)⫣⪄⊒(⫖↰⪸B9B⪕⫖↰⪸14BA)⩧⪆(≯(⋃⫖↰⪸834)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1974,"operation_count":11,"complexity_ratio":179.45454545454547,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1526,"base":12},"right_expr":{"type":"numeric_atoms","value":3586,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":7013,"base":12},"right_expr":{"type":"numeric_atoms","value":5662,"base":12}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2221,"base":12}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1703,"base":12},"right_expr":{"type":"numeric_atoms","value":2446,"base":12}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1192,"base":12}}}}},"used_operators":["oZj3VtZNQx","DlLNRPXxWL","6o9Blt3TJ6","ddLRYrp01A","YbUVn0Rbpy","Ikt5ks8PT7","RabNbG55vr","diKm42VcIt","umQnsF7QlU","keWfFq85dY","3mBM5G4a3l"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rGHVDoGpnC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","g55IO6H4Gj","JLbD19bQDL","g55IO6H4Gj"],"result":"⫖↰⪸1772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"number node, value=3586","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=3586, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3586","layer":3},{"info":"number node, value=7013","layer":4},{"info":"number node, value=5662","layer":4},{"info":"compute binary expreesion, left_input=7013, right_input=5662, 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=-69075","layer":3},{"info":"compute binary expreesion, left_input=3586, right_input=-69075, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=65556","layer":2},{"info":"compute unary expreesion, input=65556, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-136284","layer":3},{"info":"number node, value=1703","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=2446, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1861","layer":3},{"info":"compute binary expreesion, left_input=-136284, right_input=1861, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-8384","layer":2},{"info":"number node, value=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2486","layer":3},{"info":"compute unary expreesion, input=2486, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-8384, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽(⫖↰⪸A72∊∟⩊⫖↰⪸20AA⫰⋱⫖↰⪸4085⋛⫖↰⪸333A))≀⫉((⫖↰⪸1351⇉⇉)⫣⪄⊒(⫖↰⪸B9B⪕⫖↰⪸14BA)⩧⪆(≯(⋃⫖↰⪸834)))=⫖↰⪸1772","reverse_text":"⫖↰⪸1772=(⫛⫱⨽(⫖↰⪸A72∊∟⩊⫖↰⪸20AA⫰⋱⫖↰⪸4085⋛⫖↰⪸333A))≀⫉((⫖↰⪸1351⇉⇉)⫣⪄⊒(⫖↰⪸B9B⪕⫖↰⪸14BA)⩧⪆(≯(⋃⫖↰⪸834)))","cot":[{"info":"⫖↰⪸A72∊∟⩊⫖↰⪸20AA=⫖↰⪸20AA","layer":3},{"info":"⫖↰⪸4085⋛⫖↰⪸333A=⫖↰⪸-33B83","layer":3},{"info":"⫖↰⪸20AA⫰⋱⫖↰⪸-33B83=⫖↰⪸31B30","layer":2},{"info":"⫛⫱⨽⫖↰⪸31B30=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1351⇉⇉=⫖↰⪸-66A50","layer":3},{"info":"⫖↰⪸B9B⪕⫖↰⪸14BA=⫖↰⪸10B1","layer":3},{"info":"⫖↰⪸-66A50⫣⪄⊒⫖↰⪸10B1=⫖↰⪸-4A28","layer":2},{"info":"⋃⫖↰⪸834=⫖↰⪸1532","layer":3},{"info":"≯⫖↰⪸1532=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-4A28⩧⪆⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0≀⫉⫖↰⪸0=⫖↰⪸1772","layer":0}]}
{"id":460,"expression_no_base_symbol":"≋(((⋣$2160$)⨓($1773$↸$2384$))→⨶⪴($4103$+⪬∐$2214$⩚⊴⇥$1151$⫣⪄⊒$5069$))","expression":"≋(((⋣⫖↰⪸1300)⨓(⫖↰⪸1039↸⫖↰⪸1468))→⨶⪴(⫖↰⪸245B+⪬∐⫖↰⪸1346⩚⊴⇥⫖↰⪸7BB⫣⪄⊒⫖↰⪸2B25))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3765,"operation_count":8,"complexity_ratio":470.625,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2160,"base":12}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1773,"base":12},"right_expr":{"type":"numeric_atoms","value":2384,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4103,"base":12},"right_expr":{"type":"numeric_atoms","value":2214,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1151,"base":12},"right_expr":{"type":"numeric_atoms","value":5069,"base":12}}}}},"used_operators":["61wBmkZwlr","bF6eod5Gvf","3ViojmjbAp","zQWRhDnn8F","1eCjFl0mb9","NTOWxs364D","2GS7woTJqF","RabNbG55vr"],"dependent_operators":["7j4O788W3g","8w2t5hMYqp","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫖↰⪸-5AA30","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-634945","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=2384, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1773","layer":3},{"info":"compute binary expreesion, left_input=-634945, right_input=1773, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1776","layer":2},{"info":"number node, value=4103","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=2214, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-12309","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=5069","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=5069, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-28624","layer":3},{"info":"compute binary expreesion, left_input=-12309, right_input=-28624, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=40812","layer":2},{"info":"compute binary expreesion, left_input=-1776, right_input=40812, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-122436","layer":1},{"info":"compute unary expreesion, input=-122436, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-122436","layer":0}],"base":12,"result_base":12,"text":"≋(((⋣⫖↰⪸1300)⨓(⫖↰⪸1039↸⫖↰⪸1468))→⨶⪴(⫖↰⪸245B+⪬∐⫖↰⪸1346⩚⊴⇥⫖↰⪸7BB⫣⪄⊒⫖↰⪸2B25))=⫖↰⪸-5AA30","reverse_text":"⫖↰⪸-5AA30=≋(((⋣⫖↰⪸1300)⨓(⫖↰⪸1039↸⫖↰⪸1468))→⨶⪴(⫖↰⪸245B+⪬∐⫖↰⪸1346⩚⊴⇥⫖↰⪸7BB⫣⪄⊒⫖↰⪸2B25))","cot":[{"info":"⋣⫖↰⪸1300=⫖↰⪸-267541","layer":3},{"info":"⫖↰⪸1039↸⫖↰⪸1468=⫖↰⪸1039","layer":3},{"info":"⫖↰⪸-267541⨓⫖↰⪸1039=⫖↰⪸-1040","layer":2},{"info":"⫖↰⪸245B+⪬∐⫖↰⪸1346=⫖↰⪸-7159","layer":3},{"info":"⫖↰⪸7BB⫣⪄⊒⫖↰⪸2B25=⫖↰⪸-14694","layer":3},{"info":"⫖↰⪸-7159⩚⊴⇥⫖↰⪸-14694=⫖↰⪸1B750","layer":2},{"info":"⫖↰⪸-1040→⨶⪴⫖↰⪸1B750=⫖↰⪸-5AA30","layer":1},{"info":"≋⫖↰⪸-5AA30=⫖↰⪸-5AA30","layer":0}]}
{"id":461,"expression_no_base_symbol":"⋣(≉$1430$⪃⊛⇣$2618$⨿($1907$⪒⊣⊆$3926$))","expression":"⋣(≉⫖↰⪸9B2⪃⊛⇣⫖↰⪸1622⨿(⫖↰⪸112B⪒⊣⊆⫖↰⪸2332))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":968,"operation_count":5,"complexity_ratio":193.6,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1430,"base":12},"right_expr":{"type":"numeric_atoms","value":2618,"base":12}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1907,"base":12},"right_expr":{"type":"numeric_atoms","value":3926,"base":12}}}}},"used_operators":["zQWRhDnn8F","e1ybzncUwg","abYXlopdE0","rrgAzCduG9","eRqsBgTDFp"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","sdazOOVcIp","W4YGzv6Whe"],"result":"⫖↰⪸-95","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1430","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=2618, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=3926, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3814","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3814, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute unary expreesion, input=-319, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-319","layer":1},{"info":"compute unary expreesion, input=-319, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":12,"result_base":12,"text":"⋣(≉⫖↰⪸9B2⪃⊛⇣⫖↰⪸1622⨿(⫖↰⪸112B⪒⊣⊆⫖↰⪸2332))=⫖↰⪸-95","reverse_text":"⫖↰⪸-95=⋣(≉⫖↰⪸9B2⪃⊛⇣⫖↰⪸1622⨿(⫖↰⪸112B⪒⊣⊆⫖↰⪸2332))","cot":[{"info":"⫖↰⪸9B2⪃⊛⇣⫖↰⪸1622=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸112B⪒⊣⊆⫖↰⪸2332=⫖↰⪸225A","layer":3},{"info":"⫖↰⪸86A⨿⫖↰⪸225A=⫖↰⪸-227","layer":2},{"info":"≉⫖↰⪸-227=⫖↰⪸-227","layer":1},{"info":"⋣⫖↰⪸-227=⫖↰⪸-95","layer":0}]}
{"id":462,"expression_no_base_symbol":"($1587$≠≀$3537$∕⩚$3726$⩹$2623$)⊕∕($1587$≒∊$3279$⇴$1227$↬$2628$)⨫⇇↔(((∑⇻≧$2605$)≀⫉$8272$⨚$1830$)⪘⫢(⫟$1105$∠⫱$4178$))","expression":"(⫖↰⪸B03≠≀⫖↰⪸2069∕⩚⫖↰⪸21A6⩹⫖↰⪸1627)⊕∕(⫖↰⪸B03≒∊⫖↰⪸1A93⇴⫖↰⪸863↬⫖↰⪸1630)⨫⇇↔(((∑⇻≧⫖↰⪸1611)≀⫉⫖↰⪸4954⨚⫖↰⪸1086)⪘⫢(⫟⫖↰⪸781∠⫱⫖↰⪸2502))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3181,"operation_count":14,"complexity_ratio":227.21428571428572,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1587,"base":12},"right_expr":{"type":"numeric_atoms","value":3537,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3726,"base":12},"right_expr":{"type":"numeric_atoms","value":2623,"base":12}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1587,"base":12},"right_expr":{"type":"numeric_atoms","value":3279,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1227,"base":12},"right_expr":{"type":"numeric_atoms","value":2628,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2605,"base":12}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":8272,"base":12},"right_expr":{"type":"numeric_atoms","value":1830,"base":12}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1105,"base":12},"right_expr":{"type":"numeric_atoms","value":4178,"base":12}}}}},"used_operators":["LXhwmt4mBO","9cloC0Ngie","z9ffQ9n5Zr","IwW236VD4Y","2Wsdkap16l","4JB6nKBMSY","5KTvxBwnZo","B5M0gjZbta","oacrs7FA3X","oZj3VtZNQx","l1M9WJ3V7u","nREPSIbpBE","z4E1FaHLuy","QvoQhV0rrE"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⫖↰⪸-37B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1587","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=3537, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2868","layer":3},{"info":"number node, value=3726","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=2623, 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=2621","layer":3},{"info":"compute binary expreesion, left_input=-2868, right_input=2621, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=2865","layer":2},{"info":"number node, value=1587","layer":4},{"info":"number node, value=3279","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=3279, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1103","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=2628, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1103, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2865, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2865","layer":1},{"info":"number node, value=2605","layer":4},{"info":"compute unary expreesion, input=2605, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=8272","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=8272, right_input=1830, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=10158","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=10158, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1105","layer":4},{"info":"number node, value=4178","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=4178, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-2795","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-2795, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2865, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B03≠≀⫖↰⪸2069∕⩚⫖↰⪸21A6⩹⫖↰⪸1627)⊕∕(⫖↰⪸B03≒∊⫖↰⪸1A93⇴⫖↰⪸863↬⫖↰⪸1630)⨫⇇↔(((∑⇻≧⫖↰⪸1611)≀⫉⫖↰⪸4954⨚⫖↰⪸1086)⪘⫢(⫟⫖↰⪸781∠⫱⫖↰⪸2502))=⫖↰⪸-37B","reverse_text":"⫖↰⪸-37B=(⫖↰⪸B03≠≀⫖↰⪸2069∕⩚⫖↰⪸21A6⩹⫖↰⪸1627)⊕∕(⫖↰⪸B03≒∊⫖↰⪸1A93⇴⫖↰⪸863↬⫖↰⪸1630)⨫⇇↔(((∑⇻≧⫖↰⪸1611)≀⫉⫖↰⪸4954⨚⫖↰⪸1086)⪘⫢(⫟⫖↰⪸781∠⫱⫖↰⪸2502))","cot":[{"info":"⫖↰⪸B03≠≀⫖↰⪸2069=⫖↰⪸-17B0","layer":3},{"info":"⫖↰⪸21A6⩹⫖↰⪸1627=⫖↰⪸1625","layer":3},{"info":"⫖↰⪸-17B0∕⩚⫖↰⪸1625=⫖↰⪸17A9","layer":2},{"info":"⫖↰⪸B03≒∊⫖↰⪸1A93=⫖↰⪸-77B","layer":3},{"info":"⫖↰⪸863↬⫖↰⪸1630=NaN","layer":3},{"info":"⫖↰⪸-77B⇴NaN=NaN","layer":2},{"info":"⫖↰⪸17A9⊕∕NaN=⫖↰⪸17A9","layer":1},{"info":"∑⇻≧⫖↰⪸1611=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸4954⨚⫖↰⪸1086=⫖↰⪸5A66","layer":3},{"info":"⫖↰⪸-5B0≀⫉⫖↰⪸5A66=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸781∠⫱⫖↰⪸2502=⫖↰⪸86A","layer":3},{"info":"⫟⫖↰⪸86A=⫖↰⪸-174B","layer":2},{"info":"⫖↰⪸1772⪘⫢⫖↰⪸-174B=⫖↰⪸0","layer":1},{"info":"⫖↰⪸17A9⨫⇇↔⫖↰⪸0=⫖↰⪸-37B","layer":0}]}
{"id":463,"expression_no_base_symbol":"(⩒∊(⊖$1242$))⩣⫁∢($3844$∌↝$2939$∌↝(↞≼$5919$))∌↝($2943$⨟⋌⩍$4582$⊨($1512$≓∲$2425$)⩺⪪($1886$⨎$8835$)⪛($3613$*$1884$))","expression":"(⩒∊(⊖⫖↰⪸876))⩣⫁∢(⫖↰⪸2284∌↝⫖↰⪸184B∌↝(↞≼⫖↰⪸3513))∌↝(⫖↰⪸1853⨟⋌⩍⫖↰⪸279A⊨(⫖↰⪸A60≓∲⫖↰⪸14A1)⩺⪪(⫖↰⪸1112⨎⫖↰⪸5143)⪛(⫖↰⪸2111*⫖↰⪸1110))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2174,"operation_count":14,"complexity_ratio":155.28571428571428,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1242,"base":12}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3844,"base":12},"right_expr":{"type":"numeric_atoms","value":2939,"base":12}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":5919,"base":12}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2943,"base":12},"right_expr":{"type":"numeric_atoms","value":4582,"base":12}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1512,"base":12},"right_expr":{"type":"numeric_atoms","value":2425,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1886,"base":12},"right_expr":{"type":"numeric_atoms","value":8835,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3613,"base":12},"right_expr":{"type":"numeric_atoms","value":1884,"base":12}}}}},"used_operators":["9Isq31Ruls","JDUIKTTSIa","qazvmhNBbN","U6pG0PXrV3","DE7zCoGJt9","uvdQJvN4PV","vg4gO5BX6G","rGHVDoGpnC","s1XTVnmDOJ","uFcxV4UQCh","rJVOvQCfKK","9HNa5Wba9A"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Tcnh7f0tEr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"⫖↰⪸666A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1273","layer":2},{"info":"number node, value=3844","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=2939, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=5919","layer":4},{"info":"compute unary expreesion, input=5919, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=46938","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=46938, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-140814","layer":2},{"info":"compute binary expreesion, left_input=-1273, right_input=-140814, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=5657","layer":1},{"info":"number node, value=2943","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=4582, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1512","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=2425, 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=15903","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15903, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=1886","layer":4},{"info":"number node, value=8835","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=8835, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8835","layer":3},{"info":"number node, value=3613","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=3613, right_input=1884, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6806892","layer":3},{"info":"compute binary expreesion, left_input=8835, right_input=6806892, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=8835","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8835, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5657, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=11314","layer":0}],"base":12,"result_base":12,"text":"(⩒∊(⊖⫖↰⪸876))⩣⫁∢(⫖↰⪸2284∌↝⫖↰⪸184B∌↝(↞≼⫖↰⪸3513))∌↝(⫖↰⪸1853⨟⋌⩍⫖↰⪸279A⊨(⫖↰⪸A60≓∲⫖↰⪸14A1)⩺⪪(⫖↰⪸1112⨎⫖↰⪸5143)⪛(⫖↰⪸2111*⫖↰⪸1110))=⫖↰⪸666A","reverse_text":"⫖↰⪸666A=(⩒∊(⊖⫖↰⪸876))⩣⫁∢(⫖↰⪸2284∌↝⫖↰⪸184B∌↝(↞≼⫖↰⪸3513))∌↝(⫖↰⪸1853⨟⋌⩍⫖↰⪸279A⊨(⫖↰⪸A60≓∲⫖↰⪸14A1)⩺⪪(⫖↰⪸1112⨎⫖↰⪸5143)⪛(⫖↰⪸2111*⫖↰⪸1110))","cot":[{"info":"⊖⫖↰⪸876=⫖↰⪸0","layer":3},{"info":"⩒∊⫖↰⪸0=⫖↰⪸-8A1","layer":2},{"info":"⫖↰⪸2284∌↝⫖↰⪸184B=⫖↰⪸0","layer":3},{"info":"↞≼⫖↰⪸3513=⫖↰⪸231B6","layer":3},{"info":"⫖↰⪸0∌↝⫖↰⪸231B6=⫖↰⪸-695A6","layer":2},{"info":"⫖↰⪸-8A1⩣⫁∢⫖↰⪸-695A6=⫖↰⪸3335","layer":1},{"info":"⫖↰⪸1853⨟⋌⩍⫖↰⪸279A=NaN","layer":3},{"info":"⫖↰⪸A60≓∲⫖↰⪸14A1=⫖↰⪸9253","layer":3},{"info":"NaN⊨⫖↰⪸9253=NaN","layer":2},{"info":"⫖↰⪸1112⨎⫖↰⪸5143=⫖↰⪸5143","layer":3},{"info":"⫖↰⪸2111*⫖↰⪸1110=⫖↰⪸2343210","layer":3},{"info":"⫖↰⪸5143⪛⫖↰⪸2343210=⫖↰⪸5143","layer":2},{"info":"NaN⩺⪪⫖↰⪸5143=NaN","layer":1},{"info":"⫖↰⪸3335∌↝NaN=⫖↰⪸666A","layer":0}]}
{"id":464,"expression_no_base_symbol":"(((⊁⨺$4746$)∟)⋳⪒($1261$↳∿⪆$2632$∝$3909$⫥∨⫟$1681$))⩍⋽⫝̸((($1867$⩹$6496$)⩷∴$1289$≝⊿$3498$)⪮%⊝($1266$⨚$1864$⩷∴$6953$∇⊂⋱$1139$))","expression":"(((⊁⨺⫖↰⪸28B6)∟)⋳⪒(⫖↰⪸891↳∿⪆⫖↰⪸1634∝⫖↰⪸2319⫥∨⫟⫖↰⪸B81))⩍⋽⫝̸(((⫖↰⪸10B7⩹⫖↰⪸3914)⩷∴⫖↰⪸8B5≝⊿⫖↰⪸2036)⪮%⊝(⫖↰⪸896⨚⫖↰⪸10B4⩷∴⫖↰⪸4035∇⊂⋱⫖↰⪸7AB))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2731,"operation_count":14,"complexity_ratio":195.07142857142858,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4746,"base":12}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1261,"base":12},"right_expr":{"type":"numeric_atoms","value":2632,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3909,"base":12},"right_expr":{"type":"numeric_atoms","value":1681,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1867,"base":12},"right_expr":{"type":"numeric_atoms","value":6496,"base":12}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1289,"base":12},"right_expr":{"type":"numeric_atoms","value":3498,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1266,"base":12},"right_expr":{"type":"numeric_atoms","value":1864,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6953,"base":12},"right_expr":{"type":"numeric_atoms","value":1139,"base":12}}}}},"used_operators":["BiWNJpBvwn","12rbrZMWeM","hTbEZDJLEm","PxiHyQbrIp","cTDWOvIxvz","Cw4SuJJGHO","KYD54nUTWz","IWmyXbctLI","9FxExcQeMw","2Wsdkap16l","OKKcZfAt5B","nREPSIbpBE","nhYeJWJD5X"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","12rbrZMWeM","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⫖↰⪸2B062","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4746","layer":4},{"info":"compute unary expreesion, input=4746, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=2632","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2632, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=3909","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=3909, right_input=1681, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1867","layer":4},{"info":"number node, value=6496","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=6496, 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=6494","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=3498","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=3498, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8818","layer":3},{"info":"compute binary expreesion, left_input=6494, right_input=-8818, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=30592","layer":2},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1864, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3990","layer":3},{"info":"number node, value=6953","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=6953, right_input=1139, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13360","layer":3},{"info":"compute binary expreesion, left_input=-3990, right_input=13360, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-34732","layer":2},{"info":"compute binary expreesion, left_input=30592, right_input=-34732, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=61500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=61500, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=60554","layer":0}],"base":12,"result_base":12,"text":"(((⊁⨺⫖↰⪸28B6)∟)⋳⪒(⫖↰⪸891↳∿⪆⫖↰⪸1634∝⫖↰⪸2319⫥∨⫟⫖↰⪸B81))⩍⋽⫝̸(((⫖↰⪸10B7⩹⫖↰⪸3914)⩷∴⫖↰⪸8B5≝⊿⫖↰⪸2036)⪮%⊝(⫖↰⪸896⨚⫖↰⪸10B4⩷∴⫖↰⪸4035∇⊂⋱⫖↰⪸7AB))=⫖↰⪸2B062","reverse_text":"⫖↰⪸2B062=(((⊁⨺⫖↰⪸28B6)∟)⋳⪒(⫖↰⪸891↳∿⪆⫖↰⪸1634∝⫖↰⪸2319⫥∨⫟⫖↰⪸B81))⩍⋽⫝̸(((⫖↰⪸10B7⩹⫖↰⪸3914)⩷∴⫖↰⪸8B5≝⊿⫖↰⪸2036)⪮%⊝(⫖↰⪸896⨚⫖↰⪸10B4⩷∴⫖↰⪸4035∇⊂⋱⫖↰⪸7AB))","cot":[{"info":"⊁⨺⫖↰⪸28B6=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114∟=⫖↰⪸95","layer":2},{"info":"⫖↰⪸891↳∿⪆⫖↰⪸1634=NaN","layer":3},{"info":"⫖↰⪸2319⫥∨⫟⫖↰⪸B81=NaN","layer":3},{"info":"NaN∝NaN=NaN","layer":2},{"info":"⫖↰⪸95⋳⪒NaN=NaN","layer":1},{"info":"⫖↰⪸10B7⩹⫖↰⪸3914=⫖↰⪸3912","layer":3},{"info":"⫖↰⪸8B5≝⊿⫖↰⪸2036=⫖↰⪸-512A","layer":3},{"info":"⫖↰⪸3912⩷∴⫖↰⪸-512A=⫖↰⪸15854","layer":2},{"info":"⫖↰⪸896⨚⫖↰⪸10B4=⫖↰⪸-2386","layer":3},{"info":"⫖↰⪸4035∇⊂⋱⫖↰⪸7AB=⫖↰⪸7894","layer":3},{"info":"⫖↰⪸-2386⩷∴⫖↰⪸7894=⫖↰⪸-18124","layer":2},{"info":"⫖↰⪸15854⪮%⊝⫖↰⪸-18124=⫖↰⪸2B710","layer":1},{"info":"NaN⩍⋽⫝̸⫖↰⪸2B710=⫖↰⪸2B062","layer":0}]}
{"id":465,"expression_no_base_symbol":"↥(($2592$∠↢$2029$)⨁⊸⫻)⊢(⊗($2517$⊨$1239$))","expression":"↥((⫖↰⪸1600∠↢⫖↰⪸1211)⨁⊸⫻)⊢(⊗(⫖↰⪸1559⊨⫖↰⪸873))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3025,"operation_count":6,"complexity_ratio":504.1666666666667,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2592,"base":12},"right_expr":{"type":"numeric_atoms","value":2029,"base":12}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2517,"base":12},"right_expr":{"type":"numeric_atoms","value":1239,"base":12}}}}},"used_operators":["A8NUZmVepG","5twsqlHp2o","glklzrTFfD","KbjG8mgYpV","RhiyfpczSx","vg4gO5BX6G"],"dependent_operators":["k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⫖↰⪸1B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2592","layer":4},{"info":"number node, value=2029","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=2029, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-37692","layer":3},{"info":"compute unary expreesion, input=-37692, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-75384","layer":2},{"info":"number node, value=2517","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1239, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=11099","layer":3},{"info":"compute unary expreesion, input=11099, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-22198","layer":2},{"info":"compute binary expreesion, left_input=-75384, right_input=-22198, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=150524","layer":1},{"info":"compute unary expreesion, input=150524, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":0}],"base":12,"result_base":12,"text":"↥((⫖↰⪸1600∠↢⫖↰⪸1211)⨁⊸⫻)⊢(⊗(⫖↰⪸1559⊨⫖↰⪸873))=⫖↰⪸1B","reverse_text":"⫖↰⪸1B=↥((⫖↰⪸1600∠↢⫖↰⪸1211)⨁⊸⫻)⊢(⊗(⫖↰⪸1559⊨⫖↰⪸873))","cot":[{"info":"⫖↰⪸1600∠↢⫖↰⪸1211=⫖↰⪸-19990","layer":3},{"info":"⫖↰⪸-19990⨁⊸⫻=⫖↰⪸-37760","layer":2},{"info":"⫖↰⪸1559⊨⫖↰⪸873=⫖↰⪸650B","layer":3},{"info":"⊗⫖↰⪸650B=⫖↰⪸-10A1A","layer":2},{"info":"⫖↰⪸-37760⊢⫖↰⪸-10A1A=⫖↰⪸73138","layer":1},{"info":"↥⫖↰⪸73138=⫖↰⪸1B","layer":0}]}
{"id":466,"expression_no_base_symbol":"⨝⨆(⨙⪌(⫡⇟⇯$2344$⨻⩈⩔$1040$))","expression":"⨝⨆(⨙⪌(⫡⇟⇯⫖↰⪸1434⨻⩈⩔⫖↰⪸728))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1030,"operation_count":4,"complexity_ratio":257.5,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2344,"base":12},"right_expr":{"type":"numeric_atoms","value":1040,"base":12}}}}},"used_operators":["bQ67fsrMVf","vEGLkm4Z2k","qWUSsah53b","nEsXyWgiOK"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DZ8iAZOCBD","P8v4zCKN1o","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⫖↰⪸46B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2344","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=1040, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10351","layer":3},{"info":"compute unary expreesion, input=10351, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=21570","layer":2},{"info":"compute unary expreesion, input=21570, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=659","layer":0}],"base":12,"result_base":12,"text":"⨝⨆(⨙⪌(⫡⇟⇯⫖↰⪸1434⨻⩈⩔⫖↰⪸728))=⫖↰⪸46B","reverse_text":"⫖↰⪸46B=⨝⨆(⨙⪌(⫡⇟⇯⫖↰⪸1434⨻⩈⩔⫖↰⪸728))","cot":[{"info":"⫖↰⪸1434⨻⩈⩔⫖↰⪸728=⫖↰⪸5BA7","layer":3},{"info":"⫡⇟⇯⫖↰⪸5BA7=⫖↰⪸10596","layer":2},{"info":"⨙⪌⫖↰⪸10596=⫖↰⪸604","layer":1},{"info":"⨝⨆⫖↰⪸604=⫖↰⪸46B","layer":0}]}
{"id":467,"expression_no_base_symbol":"∡(($2398$∙∹∝$1233$)⊴($1037$⨳⩥⨓$1078$)⊉≛↸($1262$⩅⪻⪻)⊹∫⫚$3774$⊕∕$3313$)","expression":"∡((⫖↰⪸147A∙∹∝⫖↰⪸869)⊴(⫖↰⪸725⨳⩥⨓⫖↰⪸75A)⊉≛↸(⫖↰⪸892⩅⪻⪻)⊹∫⫚⫖↰⪸2226⊕∕⫖↰⪸1B01)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":245,"operation_count":8,"complexity_ratio":30.625,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2398,"base":12},"right_expr":{"type":"numeric_atoms","value":1233,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1262,"base":12}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3774,"base":12},"right_expr":{"type":"numeric_atoms","value":3313,"base":12}}}}},"used_operators":["pRsWfj4Fpp","DZ8iAZOCBD","Nsiff2A1zJ","HmxsFra2vL","nCS4ZIUYfx","uWAJUKEvyW","kHoXpA7yos","9cloC0Ngie"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2398","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=2398, right_input=1233, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1078, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=41","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=41, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-186201","layer":3},{"info":"number node, value=3774","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=3313, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3774","layer":3},{"info":"compute binary expreesion, left_input=-186201, right_input=3774, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-348","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-348, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∡((⫖↰⪸147A∙∹∝⫖↰⪸869)⊴(⫖↰⪸725⨳⩥⨓⫖↰⪸75A)⊉≛↸(⫖↰⪸892⩅⪻⪻)⊹∫⫚⫖↰⪸2226⊕∕⫖↰⪸1B01)=NaN","reverse_text":"NaN=∡((⫖↰⪸147A∙∹∝⫖↰⪸869)⊴(⫖↰⪸725⨳⩥⨓⫖↰⪸75A)⊉≛↸(⫖↰⪸892⩅⪻⪻)⊹∫⫚⫖↰⪸2226⊕∕⫖↰⪸1B01)","cot":[{"info":"⫖↰⪸147A∙∹∝⫖↰⪸869=⫖↰⪸0","layer":3},{"info":"⫖↰⪸725⨳⩥⨓⫖↰⪸75A=⫖↰⪸35","layer":3},{"info":"⫖↰⪸0⊴⫖↰⪸35=NaN","layer":2},{"info":"⫖↰⪸892⩅⪻⪻=⫖↰⪸-8B909","layer":3},{"info":"⫖↰⪸2226⊕∕⫖↰⪸1B01=⫖↰⪸2226","layer":3},{"info":"⫖↰⪸-8B909⊹∫⫚⫖↰⪸2226=⫖↰⪸-250","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-250=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"($4232$⋳⪒$6444$)⫣⪄⊒(⊑$2574$)⋥⋵⩄(($1197$≃$4244$)∛$1009$⨿$4321$)⪇≇⋚((⪲⇎$2518$)→⨶⪴(⨰⫟⨤$2082$)∙⊟(≋$7988$⇤$5036$))","expression":"(⫖↰⪸2548⋳⪒⫖↰⪸3890)⫣⪄⊒(⊑⫖↰⪸15A6)⋥⋵⩄((⫖↰⪸839≃⫖↰⪸2558)∛⫖↰⪸701⨿⫖↰⪸2601)⪇≇⋚((⪲⇎⫖↰⪸155A)→⨶⪴(⨰⫟⨤⫖↰⪸1256)∙⊟(≋⫖↰⪸4758⇤⫖↰⪸2AB8))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8348,"operation_count":14,"complexity_ratio":596.2857142857143,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4232,"base":12},"right_expr":{"type":"numeric_atoms","value":6444,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2574,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1197,"base":12},"right_expr":{"type":"numeric_atoms","value":4244,"base":12}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1009,"base":12},"right_expr":{"type":"numeric_atoms","value":4321,"base":12}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2518,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2082,"base":12}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":7988,"base":12},"right_expr":{"type":"numeric_atoms","value":5036,"base":12}}}}},"used_operators":["3sJ7IOPOlU","7t3wd0Fuz7","RabNbG55vr","12rbrZMWeM","IkUmn0D7oy","w2537kitQq","YbVcJGFEVW","abYXlopdE0","SxTAKzQCrw","bF6eod5Gvf","XPYlsWDdGa","Tw270M8GLb","61wBmkZwlr","YSKBFp38Pu"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4232","layer":4},{"info":"number node, value=6444","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=6444, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1733","layer":3},{"info":"number node, value=2574","layer":4},{"info":"compute unary expreesion, input=2574, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=1733, right_input=192, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=1197","layer":4},{"info":"number node, value=4244","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=4244, 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=-4828","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=4321","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=4321, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-4828, right_input=-319, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=2518","layer":4},{"info":"compute unary expreesion, input=2518, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5036","layer":3},{"info":"number node, value=2082","layer":4},{"info":"compute unary expreesion, input=2082, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5036, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"number node, value=7988","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=7988, right_input=5036, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-62272","layer":3},{"info":"compute unary expreesion, input=-62272, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-62272","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-62272, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2548⋳⪒⫖↰⪸3890)⫣⪄⊒(⊑⫖↰⪸15A6)⋥⋵⩄((⫖↰⪸839≃⫖↰⪸2558)∛⫖↰⪸701⨿⫖↰⪸2601)⪇≇⋚((⪲⇎⫖↰⪸155A)→⨶⪴(⨰⫟⨤⫖↰⪸1256)∙⊟(≋⫖↰⪸4758⇤⫖↰⪸2AB8))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2548⋳⪒⫖↰⪸3890)⫣⪄⊒(⊑⫖↰⪸15A6)⋥⋵⩄((⫖↰⪸839≃⫖↰⪸2558)∛⫖↰⪸701⨿⫖↰⪸2601)⪇≇⋚((⪲⇎⫖↰⪸155A)→⨶⪴(⨰⫟⨤⫖↰⪸1256)∙⊟(≋⫖↰⪸4758⇤⫖↰⪸2AB8))","cot":[{"info":"⫖↰⪸2548⋳⪒⫖↰⪸3890=⫖↰⪸1005","layer":3},{"info":"⊑⫖↰⪸15A6=⫖↰⪸140","layer":3},{"info":"⫖↰⪸1005⫣⪄⊒⫖↰⪸140=⫖↰⪸114","layer":2},{"info":"⫖↰⪸839≃⫖↰⪸2558=⫖↰⪸-2964","layer":3},{"info":"⫖↰⪸701⨿⫖↰⪸2601=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸-2964∛⫖↰⪸-227=⫖↰⪸57","layer":2},{"info":"⫖↰⪸114⋥⋵⩄⫖↰⪸57=⫖↰⪸95","layer":1},{"info":"⪲⇎⫖↰⪸155A=⫖↰⪸2AB8","layer":3},{"info":"⨰⫟⨤⫖↰⪸1256=NaN","layer":3},{"info":"⫖↰⪸2AB8→⨶⪴NaN=NaN","layer":2},{"info":"⫖↰⪸4758⇤⫖↰⪸2AB8=⫖↰⪸-30054","layer":3},{"info":"≋⫖↰⪸-30054=⫖↰⪸-30054","layer":2},{"info":"NaN∙⊟⫖↰⪸-30054=NaN","layer":1},{"info":"⫖↰⪸95⪇≇⋚NaN=⫖↰⪸0","layer":0}]}
{"id":469,"expression_no_base_symbol":"(($3973$⇡)≭$3368$⨽∌$2440$)⪛($3433$⪟⇏$3679$≒∊$7544$⨻⩈⩔$8489$)⨪↰⇹($1095$∇⊂⋱$5284$⋓$1262$⨓$6333$⨳⩥⨓($2179$⨐⩸⫘$5781$⨵⪆($3897$⩤)))","expression":"((⫖↰⪸2371⇡)≭⫖↰⪸1B48⨽∌⫖↰⪸14B4)⪛(⫖↰⪸1BA1⪟⇏⫖↰⪸2167≒∊⫖↰⪸4448⨻⩈⩔⫖↰⪸4AB5)⨪↰⇹(⫖↰⪸773∇⊂⋱⫖↰⪸3084⋓⫖↰⪸892⨓⫖↰⪸37B9⨳⩥⨓(⫖↰⪸1317⨐⩸⫘⫖↰⪸3419⨵⪆(⫖↰⪸2309⩤)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7113,"operation_count":15,"complexity_ratio":474.2,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":3973,"base":12}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3368,"base":12},"right_expr":{"type":"numeric_atoms","value":2440,"base":12}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3433,"base":12},"right_expr":{"type":"numeric_atoms","value":3679,"base":12}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":7544,"base":12},"right_expr":{"type":"numeric_atoms","value":8489,"base":12}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1095,"base":12},"right_expr":{"type":"numeric_atoms","value":5284,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1262,"base":12},"right_expr":{"type":"numeric_atoms","value":6333,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2179,"base":12},"right_expr":{"type":"numeric_atoms","value":5781,"base":12}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3897,"base":12}}}}},"used_operators":["tmPS8pqC7x","uFcxV4UQCh","rxpJgHHUmx","UqFzSgLMvQ","9samAPKr6k","5KTvxBwnZo","GODebY97qR","nEsXyWgiOK","nCS4ZIUYfx","T2fj7uvVaJ","nhYeJWJD5X","3ViojmjbAp","2DQ55sFlQl","fu6greOZ01","Z2TMIBDE3Q"],"dependent_operators":["rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸327","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3973","layer":4},{"info":"compute unary expreesion, input=3973, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=3368","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=2440, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":2},{"info":"number node, value=3433","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=3433, right_input=3679, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=7544","layer":4},{"info":"number node, value=8489","layer":4},{"info":"compute binary expreesion, left_input=7544, right_input=8489, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=51951","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=51951, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=485","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=485, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=463","layer":1},{"info":"number node, value=1095","layer":4},{"info":"number node, value=5284","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=5284, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1644","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=6333","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=6333, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6336","layer":3},{"info":"compute binary expreesion, left_input=1644, right_input=-6336, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2179","layer":4},{"info":"number node, value=5781","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=5781, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3897","layer":4},{"info":"compute unary expreesion, input=3897, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3897","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3897, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=463, right_input=160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=463","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2371⇡)≭⫖↰⪸1B48⨽∌⫖↰⪸14B4)⪛(⫖↰⪸1BA1⪟⇏⫖↰⪸2167≒∊⫖↰⪸4448⨻⩈⩔⫖↰⪸4AB5)⨪↰⇹(⫖↰⪸773∇⊂⋱⫖↰⪸3084⋓⫖↰⪸892⨓⫖↰⪸37B9⨳⩥⨓(⫖↰⪸1317⨐⩸⫘⫖↰⪸3419⨵⪆(⫖↰⪸2309⩤)))=⫖↰⪸327","reverse_text":"⫖↰⪸327=((⫖↰⪸2371⇡)≭⫖↰⪸1B48⨽∌⫖↰⪸14B4)⪛(⫖↰⪸1BA1⪟⇏⫖↰⪸2167≒∊⫖↰⪸4448⨻⩈⩔⫖↰⪸4AB5)⨪↰⇹(⫖↰⪸773∇⊂⋱⫖↰⪸3084⋓⫖↰⪸892⨓⫖↰⪸37B9⨳⩥⨓(⫖↰⪸1317⨐⩸⫘⫖↰⪸3419⨵⪆(⫖↰⪸2309⩤)))","cot":[{"info":"⫖↰⪸2371⇡=⫖↰⪸-1831","layer":3},{"info":"⫖↰⪸1B48⨽∌⫖↰⪸14B4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1831≭⫖↰⪸0=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸1BA1⪟⇏⫖↰⪸2167=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸4448⨻⩈⩔⫖↰⪸4AB5=⫖↰⪸26093","layer":3},{"info":"⫖↰⪸-1≒∊⫖↰⪸26093=⫖↰⪸345","layer":2},{"info":"⫖↰⪸-1A⪛⫖↰⪸345=⫖↰⪸327","layer":1},{"info":"⫖↰⪸773∇⊂⋱⫖↰⪸3084=⫖↰⪸B50","layer":3},{"info":"⫖↰⪸892⨓⫖↰⪸37B9=⫖↰⪸-3800","layer":3},{"info":"⫖↰⪸B50⋓⫖↰⪸-3800=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1317⨐⩸⫘⫖↰⪸3419=NaN","layer":3},{"info":"⫖↰⪸2309⩤=⫖↰⪸-2309","layer":3},{"info":"NaN⨵⪆⫖↰⪸-2309=⫖↰⪸114","layer":2},{"info":"⫖↰⪸0⨳⩥⨓⫖↰⪸114=⫖↰⪸114","layer":1},{"info":"⫖↰⪸327⨪↰⇹⫖↰⪸114=⫖↰⪸327","layer":0}]}
{"id":470,"expression_no_base_symbol":"($3937$⇂≾⫗$1703$↺($4266$∸))⫣⪄⊒(($3258$≭$1554$)⋛($1063$∠⫱$3203$))⋭≵($2336$∙⊟$7137$)⨼⩣($2056$⪮%⊝$2562$)⪭($2754$⋝⋈⪟$4933$⋓($2962$⩨$7955$))","expression":"(⫖↰⪸2341⇂≾⫗⫖↰⪸B9B↺(⫖↰⪸2576∸))⫣⪄⊒((⫖↰⪸1A76≭⫖↰⪸A96)⋛(⫖↰⪸747∠⫱⫖↰⪸1A2B))⋭≵(⫖↰⪸1428∙⊟⫖↰⪸4169)⨼⩣(⫖↰⪸1234⪮%⊝⫖↰⪸1596)⪭(⫖↰⪸1716⋝⋈⪟⫖↰⪸2A31⋓(⫖↰⪸186A⩨⫖↰⪸472B))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3532,"operation_count":15,"complexity_ratio":235.46666666666667,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3937,"base":12},"right_expr":{"type":"numeric_atoms","value":1703,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4266,"base":12}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3258,"base":12},"right_expr":{"type":"numeric_atoms","value":1554,"base":12}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":3203,"base":12}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2336,"base":12},"right_expr":{"type":"numeric_atoms","value":7137,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2056,"base":12},"right_expr":{"type":"numeric_atoms","value":2562,"base":12}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2754,"base":12},"right_expr":{"type":"numeric_atoms","value":4933,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2962,"base":12},"right_expr":{"type":"numeric_atoms","value":7955,"base":12}}}}},"used_operators":["jBncVCNhdl","RabNbG55vr","7j4O788W3g","aBQ6xLxuTc","o20kRiQErp","YbUVn0Rbpy","rxpJgHHUmx","QvoQhV0rrE","j9kHMeSvPp","JxwMv5le6e","SxTAKzQCrw","IWmyXbctLI","T2fj7uvVaJ","2DDjHMKMc0","2DlMacCsIx"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","tmPS8pqC7x","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","COABgblf1C","xUOZtlo3hN","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸-63","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3937","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=1703, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=4266","layer":4},{"info":"compute unary expreesion, input=4266, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=177, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=177","layer":2},{"info":"number node, value=3258","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=3258, right_input=1554, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=3203, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=2336","layer":4},{"info":"number node, value=7137","layer":4},{"info":"compute binary expreesion, left_input=2336, right_input=7137, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=40214","layer":3},{"info":"number node, value=2056","layer":4},{"info":"number node, value=2562","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=2562, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4428","layer":3},{"info":"compute binary expreesion, left_input=40214, right_input=4428, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2754","layer":4},{"info":"number node, value=4933","layer":4},{"info":"compute binary expreesion, left_input=2754, right_input=4933, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2754","layer":3},{"info":"number node, value=2962","layer":4},{"info":"number node, value=7955","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=7955, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=2754, right_input=-6, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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 = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-75","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2341⇂≾⫗⫖↰⪸B9B↺(⫖↰⪸2576∸))⫣⪄⊒((⫖↰⪸1A76≭⫖↰⪸A96)⋛(⫖↰⪸747∠⫱⫖↰⪸1A2B))⋭≵(⫖↰⪸1428∙⊟⫖↰⪸4169)⨼⩣(⫖↰⪸1234⪮%⊝⫖↰⪸1596)⪭(⫖↰⪸1716⋝⋈⪟⫖↰⪸2A31⋓(⫖↰⪸186A⩨⫖↰⪸472B))=⫖↰⪸-63","reverse_text":"⫖↰⪸-63=(⫖↰⪸2341⇂≾⫗⫖↰⪸B9B↺(⫖↰⪸2576∸))⫣⪄⊒((⫖↰⪸1A76≭⫖↰⪸A96)⋛(⫖↰⪸747∠⫱⫖↰⪸1A2B))⋭≵(⫖↰⪸1428∙⊟⫖↰⪸4169)⨼⩣(⫖↰⪸1234⪮%⊝⫖↰⪸1596)⪭(⫖↰⪸1716⋝⋈⪟⫖↰⪸2A31⋓(⫖↰⪸186A⩨⫖↰⪸472B))","cot":[{"info":"⫖↰⪸2341⇂≾⫗⫖↰⪸B9B=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸2576∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸-484↺⫖↰⪸129=⫖↰⪸129","layer":2},{"info":"⫖↰⪸1A76≭⫖↰⪸A96=NaN","layer":3},{"info":"⫖↰⪸747∠⫱⫖↰⪸1A2B=⫖↰⪸86A","layer":3},{"info":"NaN⋛⫖↰⪸86A=NaN","layer":2},{"info":"⫖↰⪸129⫣⪄⊒NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1428∙⊟⫖↰⪸4169=⫖↰⪸1B332","layer":3},{"info":"⫖↰⪸1234⪮%⊝⫖↰⪸1596=⫖↰⪸2690","layer":3},{"info":"⫖↰⪸1B332⨼⩣⫖↰⪸2690=NaN","layer":2},{"info":"⫖↰⪸1716⋝⋈⪟⫖↰⪸2A31=⫖↰⪸1716","layer":3},{"info":"⫖↰⪸186A⩨⫖↰⪸472B=⫖↰⪸-6","layer":3},{"info":"⫖↰⪸1716⋓⫖↰⪸-6=⫖↰⪸0","layer":2},{"info":"NaN⪭⫖↰⪸0=⫖↰⪸5","layer":1},{"info":"⫖↰⪸114⋭≵⫖↰⪸5=⫖↰⪸-63","layer":0}]}
{"id":471,"expression_no_base_symbol":"(($4417$∙∹∝$7779$)⊬⨰($1760$⇴$4129$)+$5812$⇍⊗$1328$↬($3633$⋘⨑⨽))≀⩗∶($3005$≃⋄)⨸($1683$⩱)⨸($1219$≁$2425$)⪟⇏($4279$≥⨤⩑$1150$)","expression":"((⫖↰⪸2681∙∹∝⫖↰⪸4603)⊬⨰(⫖↰⪸1028⇴⫖↰⪸2481)+⫖↰⪸3444⇍⊗⫖↰⪸928↬(⫖↰⪸2129⋘⨑⨽))≀⩗∶(⫖↰⪸18A5≃⋄)⨸(⫖↰⪸B83⩱)⨸(⫖↰⪸857≁⫖↰⪸14A1)⪟⇏(⫖↰⪸2587≥⨤⩑⫖↰⪸7BA)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2756,"operation_count":15,"complexity_ratio":183.73333333333332,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4417,"base":12},"right_expr":{"type":"numeric_atoms","value":7779,"base":12}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1760,"base":12},"right_expr":{"type":"numeric_atoms","value":4129,"base":12}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5812,"base":12},"right_expr":{"type":"numeric_atoms","value":1328,"base":12}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":3633,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":3005,"base":12}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1683,"base":12}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":2425,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4279,"base":12},"right_expr":{"type":"numeric_atoms","value":1150,"base":12}}}}},"used_operators":["8INZBEW696","W4YGzv6Whe","s3Fd5m9Dh2","HmxsFra2vL","4JB6nKBMSY","B5M0gjZbta","5uvYHDjeKN","WmT3o8z6ya","KmoU8R5UQR","aN9a90urxU","uyq1hVkAcj","GODebY97qR","8N2wDY1A35","gJLn6v0xnP"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","rGHVDoGpnC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","uFcxV4UQCh","jLgFTUHLKL","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4417","layer":4},{"info":"number node, value=7779","layer":4},{"info":"compute binary expreesion, left_input=4417, right_input=7779, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=4129, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=18432","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18432, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=73728","layer":2},{"info":"number node, value=5812","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=1328, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=3633","layer":4},{"info":"compute unary expreesion, input=3633, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=18948","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=18948, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=73728, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=1683","layer":4},{"info":"compute unary expreesion, input=1683, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-10348","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=-10348, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1528","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=2425, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=44999","layer":3},{"info":"number node, value=4279","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=4279, right_input=1150, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=44999, right_input=1234, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=1528, right_input=-1, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3056","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3056, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2681∙∹∝⫖↰⪸4603)⊬⨰(⫖↰⪸1028⇴⫖↰⪸2481)+⫖↰⪸3444⇍⊗⫖↰⪸928↬(⫖↰⪸2129⋘⨑⨽))≀⩗∶(⫖↰⪸18A5≃⋄)⨸(⫖↰⪸B83⩱)⨸(⫖↰⪸857≁⫖↰⪸14A1)⪟⇏(⫖↰⪸2587≥⨤⩑⫖↰⪸7BA)=NaN","reverse_text":"NaN=((⫖↰⪸2681∙∹∝⫖↰⪸4603)⊬⨰(⫖↰⪸1028⇴⫖↰⪸2481)+⫖↰⪸3444⇍⊗⫖↰⪸928↬(⫖↰⪸2129⋘⨑⨽))≀⩗∶(⫖↰⪸18A5≃⋄)⨸(⫖↰⪸B83⩱)⨸(⫖↰⪸857≁⫖↰⪸14A1)⪟⇏(⫖↰⪸2587≥⨤⩑⫖↰⪸7BA)","cot":[{"info":"⫖↰⪸2681∙∹∝⫖↰⪸4603=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1028⇴⫖↰⪸2481=⫖↰⪸A800","layer":3},{"info":"⫖↰⪸0⊬⨰⫖↰⪸A800=⫖↰⪸36800","layer":2},{"info":"⫖↰⪸3444⇍⊗⫖↰⪸928=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸2129⋘⨑⨽=⫖↰⪸AB70","layer":3},{"info":"⫖↰⪸-184↬⫖↰⪸AB70=NaN","layer":2},{"info":"⫖↰⪸36800+NaN=NaN","layer":1},{"info":"⫖↰⪸18A5≃⋄=⫖↰⪸538","layer":3},{"info":"⫖↰⪸B83⩱=⫖↰⪸-5BA4","layer":3},{"info":"⫖↰⪸538⨸⫖↰⪸-5BA4=⫖↰⪸A74","layer":2},{"info":"⫖↰⪸857≁⫖↰⪸14A1=⫖↰⪸2205B","layer":3},{"info":"⫖↰⪸2587≥⨤⩑⫖↰⪸7BA=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸2205B⪟⇏⫖↰⪸86A=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸A74⨸⫖↰⪸-1=⫖↰⪸1928","layer":1},{"info":"NaN≀⩗∶⫖↰⪸1928=NaN","layer":0}]}
{"id":472,"expression_no_base_symbol":"(⪓⩚($6514$⇷$1034$)⨚⇆$1724$≴⪞⇿$5424$)⨽∌($2355$∘$4308$⩇∃⫛($1697$⪄$4961$)∷)","expression":"(⪓⩚(⫖↰⪸392A⇷⫖↰⪸722)⨚⇆⫖↰⪸BB8≴⪞⇿⫖↰⪸3180)⨽∌(⫖↰⪸1443∘⫖↰⪸25B0⩇∃⫛(⫖↰⪸B95⪄⫖↰⪸2A55)∷)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":116164,"operation_count":9,"complexity_ratio":12907.111111111111,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6514,"base":12},"right_expr":{"type":"numeric_atoms","value":1034,"base":12}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1724,"base":12},"right_expr":{"type":"numeric_atoms","value":5424,"base":12}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2355,"base":12},"right_expr":{"type":"numeric_atoms","value":4308,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1697,"base":12},"right_expr":{"type":"numeric_atoms","value":4961,"base":12}}}}},"used_operators":["9samAPKr6k","u0R0Locfp2","lwHaAYXP2r","mp7IySMOzn","lvlrscuwVU","nFAOW8KTqp","1aApVXNlOP","Z5m6OM72h2","SUmda5xLS4"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6514","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=6514, right_input=1034, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2068","layer":3},{"info":"number node, value=1724","layer":4},{"info":"number node, value=5424","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=5424, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4211036","layer":3},{"info":"compute binary expreesion, left_input=2068, right_input=4211036, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=2355","layer":4},{"info":"number node, value=4308","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=4308, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4710","layer":3},{"info":"number node, value=1697","layer":4},{"info":"number node, value=4961","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=4961, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-267089","layer":3},{"info":"compute binary expreesion, left_input=4710, right_input=-267089, 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=-271326","layer":2},{"info":"compute unary expreesion, input=-271326, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-813978","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=-813978, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⪓⩚(⫖↰⪸392A⇷⫖↰⪸722)⨚⇆⫖↰⪸BB8≴⪞⇿⫖↰⪸3180)⨽∌(⫖↰⪸1443∘⫖↰⪸25B0⩇∃⫛(⫖↰⪸B95⪄⫖↰⪸2A55)∷)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⪓⩚(⫖↰⪸392A⇷⫖↰⪸722)⨚⇆⫖↰⪸BB8≴⪞⇿⫖↰⪸3180)⨽∌(⫖↰⪸1443∘⫖↰⪸25B0⩇∃⫛(⫖↰⪸B95⪄⫖↰⪸2A55)∷)","cot":[{"info":"⫖↰⪸392A⇷⫖↰⪸722=⫖↰⪸1244","layer":3},{"info":"⫖↰⪸BB8≴⪞⇿⫖↰⪸3180=⫖↰⪸14B0B38","layer":3},{"info":"⫖↰⪸1244⨚⇆⫖↰⪸14B0B38=NaN","layer":2},{"info":"⪓⩚NaN=⫖↰⪸2B6","layer":1},{"info":"⫖↰⪸1443∘⫖↰⪸25B0=⫖↰⪸2886","layer":3},{"info":"⫖↰⪸B95⪄⫖↰⪸2A55=⫖↰⪸-10A695","layer":3},{"info":"⫖↰⪸2886⩇∃⫛⫖↰⪸-10A695=⫖↰⪸-111026","layer":2},{"info":"⫖↰⪸-111026∷=⫖↰⪸-333076","layer":1},{"info":"⫖↰⪸2B6⨽∌⫖↰⪸-333076=⫖↰⪸0","layer":0}]}
{"id":473,"expression_no_base_symbol":"⊽((($1433$+⇶⊼$5813$)⨰$1530$⪒⊣⊆$4716$)⪝(($7948$⋥⋵⩄$1954$)∺≝⩲($3836$⩖⊿$3009$)))","expression":"⊽(((⫖↰⪸9B5+⇶⊼⫖↰⪸3445)⨰⫖↰⪸A76⪒⊣⊆⫖↰⪸2890)⪝((⫖↰⪸4724⋥⋵⩄⫖↰⪸116A)∺≝⩲(⫖↰⪸2278⩖⊿⫖↰⪸18A9)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":493,"operation_count":8,"complexity_ratio":61.625,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1433,"base":12},"right_expr":{"type":"numeric_atoms","value":5813,"base":12}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1530,"base":12},"right_expr":{"type":"numeric_atoms","value":4716,"base":12}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":7948,"base":12},"right_expr":{"type":"numeric_atoms","value":1954,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3836,"base":12},"right_expr":{"type":"numeric_atoms","value":3009,"base":12}}}}},"used_operators":["QxG7OkqoLX","wicAB68Tmb","eewbuw0ToL","TpPTUOHfaN","eRqsBgTDFp","KPf6cnQVty","7t3wd0Fuz7","RZ5CV9rWsJ"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1433","layer":4},{"info":"number node, value=5813","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=5813, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=4716, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3060","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3060, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=7948","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=7948, right_input=1954, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3836","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=3009, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8646","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=8646, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊽(((⫖↰⪸9B5+⇶⊼⫖↰⪸3445)⨰⫖↰⪸A76⪒⊣⊆⫖↰⪸2890)⪝((⫖↰⪸4724⋥⋵⩄⫖↰⪸116A)∺≝⩲(⫖↰⪸2278⩖⊿⫖↰⪸18A9)))=NaN","reverse_text":"NaN=⊽(((⫖↰⪸9B5+⇶⊼⫖↰⪸3445)⨰⫖↰⪸A76⪒⊣⊆⫖↰⪸2890)⪝((⫖↰⪸4724⋥⋵⩄⫖↰⪸116A)∺≝⩲(⫖↰⪸2278⩖⊿⫖↰⪸18A9)))","cot":[{"info":"⫖↰⪸9B5+⇶⊼⫖↰⪸3445=NaN","layer":3},{"info":"⫖↰⪸A76⪒⊣⊆⫖↰⪸2890=⫖↰⪸1930","layer":3},{"info":"NaN⨰⫖↰⪸1930=NaN","layer":2},{"info":"⫖↰⪸4724⋥⋵⩄⫖↰⪸116A=⫖↰⪸95","layer":3},{"info":"⫖↰⪸2278⩖⊿⫖↰⪸18A9=⫖↰⪸5006","layer":3},{"info":"⫖↰⪸95∺≝⩲⫖↰⪸5006=⫖↰⪸114","layer":2},{"info":"NaN⪝⫖↰⪸114=NaN","layer":1},{"info":"⊽NaN=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"($2735$⇣⩺⋵$1801$)≹⇙⪍$4641$⋹⋡⊁$1256$⨓(⫯($7091$∠⫱$1708$))⇮⋭(⇁⨣⪵($5365$≬⋮$1230$))⊹∫⫚(($1035$⊊)⩺⪪(⫓⪴$2968$))","expression":"(⫖↰⪸16BB⇣⩺⋵⫖↰⪸1061)≹⇙⪍⫖↰⪸2829⋹⋡⊁⫖↰⪸888⨓(⫯(⫖↰⪸412B∠⫱⫖↰⪸BA4))⇮⋭(⇁⨣⪵(⫖↰⪸3131≬⋮⫖↰⪸866))⊹∫⫚((⫖↰⪸723⊊)⩺⪪(⫓⪴⫖↰⪸1874))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":103107,"operation_count":13,"complexity_ratio":7931.307692307692,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2735,"base":12},"right_expr":{"type":"numeric_atoms","value":1801,"base":12}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4641,"base":12},"right_expr":{"type":"numeric_atoms","value":1256,"base":12}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":7091,"base":12},"right_expr":{"type":"numeric_atoms","value":1708,"base":12}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5365,"base":12},"right_expr":{"type":"numeric_atoms","value":1230,"base":12}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1035,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2968,"base":12}}}}},"used_operators":["vkpjKywKVM","3ViojmjbAp","AHs5Up7iyr","F4yD0voBRQ","As8RqfVLgs","H6BK1Evt7c","QvoQhV0rrE","uWAJUKEvyW","inkyxCbjAn","kbkesczE7y","uvdQJvN4PV","W9R8I5fN5A","eLxqMNBOBk"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","B5M0gjZbta","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","9HNa5Wba9A"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2735","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=2735, right_input=1801, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=4641","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=1256, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2006","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=2006, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=7091","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=7091, right_input=1708, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-37040","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-37040, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=37037","layer":1},{"info":"number node, value=5365","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=5365, right_input=1230, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"number node, value=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8809024","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=8809024, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-144","layer":1},{"info":"compute binary expreesion, left_input=37037, right_input=-144, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸16BB⇣⩺⋵⫖↰⪸1061)≹⇙⪍⫖↰⪸2829⋹⋡⊁⫖↰⪸888⨓(⫯(⫖↰⪸412B∠⫱⫖↰⪸BA4))⇮⋭(⇁⨣⪵(⫖↰⪸3131≬⋮⫖↰⪸866))⊹∫⫚((⫖↰⪸723⊊)⩺⪪(⫓⪴⫖↰⪸1874))=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸16BB⇣⩺⋵⫖↰⪸1061)≹⇙⪍⫖↰⪸2829⋹⋡⊁⫖↰⪸888⨓(⫯(⫖↰⪸412B∠⫱⫖↰⪸BA4))⇮⋭(⇁⨣⪵(⫖↰⪸3131≬⋮⫖↰⪸866))⊹∫⫚((⫖↰⪸723⊊)⩺⪪(⫓⪴⫖↰⪸1874))","cot":[{"info":"⫖↰⪸16BB⇣⩺⋵⫖↰⪸1061=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸2829⋹⋡⊁⫖↰⪸888=⫖↰⪸11B2","layer":3},{"info":"⫖↰⪸-198≹⇙⪍⫖↰⪸11B2=NaN","layer":2},{"info":"⫖↰⪸412B∠⫱⫖↰⪸BA4=⫖↰⪸86A","layer":3},{"info":"⫯⫖↰⪸86A=⫖↰⪸-19528","layer":2},{"info":"NaN⨓⫖↰⪸-19528=⫖↰⪸19525","layer":1},{"info":"⫖↰⪸3131≬⋮⫖↰⪸866=⫖↰⪸604","layer":3},{"info":"⇁⨣⪵⫖↰⪸604=NaN","layer":2},{"info":"⫖↰⪸723⊊=⫖↰⪸44753","layer":3},{"info":"⫓⪴⫖↰⪸1874=⫖↰⪸2B49994","layer":3},{"info":"⫖↰⪸44753⩺⪪⫖↰⪸2B49994=⫖↰⪸-1076","layer":2},{"info":"NaN⊹∫⫚⫖↰⪸-1076=⫖↰⪸-100","layer":1},{"info":"⫖↰⪸19525⇮⋭⫖↰⪸-100=⫖↰⪸57","layer":0}]}
{"id":475,"expression_no_base_symbol":"(($4427$∠↢$1081$)⩺⪪$1620$⊕∕$1289$)⊨($1341$≭$2453$⫸⇳$1025$⊝⪿⪼$1976$)⩹(∡(⋗⩬⋾$1225$⋅⇍$3375$))","expression":"((⫖↰⪸268B∠↢⫖↰⪸761)⩺⪪⫖↰⪸B30⊕∕⫖↰⪸8B5)⊨(⫖↰⪸939≭⫖↰⪸1505⫸⇳⫖↰⪸715⊝⪿⪼⫖↰⪸1188)⩹(∡(⋗⩬⋾⫖↰⪸861⋅⇍⫖↰⪸1B53))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":209,"operation_count":11,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4427,"base":12},"right_expr":{"type":"numeric_atoms","value":1081,"base":12}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1620,"base":12},"right_expr":{"type":"numeric_atoms","value":1289,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1341,"base":12},"right_expr":{"type":"numeric_atoms","value":2453,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1025,"base":12},"right_expr":{"type":"numeric_atoms","value":1976,"base":12}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1225,"base":12},"right_expr":{"type":"numeric_atoms","value":3375,"base":12}}}}},"used_operators":["2Wsdkap16l","vg4gO5BX6G","uvdQJvN4PV","KbjG8mgYpV","9cloC0Ngie","gx7XJ7hdpj","rxpJgHHUmx","3Oe9XWJUTD","pRsWfj4Fpp","DpFCA1CohY","AdZkA7nFnk"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⫖↰⪸-58","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4427","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=1081, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-31760","layer":3},{"info":"number node, value=1620","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=1289, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1620","layer":3},{"info":"compute binary expreesion, left_input=-31760, right_input=1620, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=2453, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1976, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25307","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25307, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=1225","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=3375, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=66","layer":2},{"info":"compute unary expreesion, input=66, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-66","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-66, 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=-68","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸268B∠↢⫖↰⪸761)⩺⪪⫖↰⪸B30⊕∕⫖↰⪸8B5)⊨(⫖↰⪸939≭⫖↰⪸1505⫸⇳⫖↰⪸715⊝⪿⪼⫖↰⪸1188)⩹(∡(⋗⩬⋾⫖↰⪸861⋅⇍⫖↰⪸1B53))=⫖↰⪸-58","reverse_text":"⫖↰⪸-58=((⫖↰⪸268B∠↢⫖↰⪸761)⩺⪪⫖↰⪸B30⊕∕⫖↰⪸8B5)⊨(⫖↰⪸939≭⫖↰⪸1505⫸⇳⫖↰⪸715⊝⪿⪼⫖↰⪸1188)⩹(∡(⋗⩬⋾⫖↰⪸861⋅⇍⫖↰⪸1B53))","cot":[{"info":"⫖↰⪸268B∠↢⫖↰⪸761=⫖↰⪸-16468","layer":3},{"info":"⫖↰⪸B30⊕∕⫖↰⪸8B5=⫖↰⪸B30","layer":3},{"info":"⫖↰⪸-16468⩺⪪⫖↰⪸B30=⫖↰⪸-1076","layer":2},{"info":"⫖↰⪸939≭⫖↰⪸1505=NaN","layer":3},{"info":"⫖↰⪸715⊝⪿⪼⫖↰⪸1188=⫖↰⪸1278B","layer":3},{"info":"NaN⫸⇳⫖↰⪸1278B=NaN","layer":2},{"info":"⫖↰⪸-1076⊨NaN=NaN","layer":1},{"info":"⫖↰⪸861⋅⇍⫖↰⪸1B53=⫖↰⪸-1A","layer":3},{"info":"⋗⩬⋾⫖↰⪸-1A=⫖↰⪸56","layer":2},{"info":"∡⫖↰⪸56=⫖↰⪸-56","layer":1},{"info":"NaN⩹⫖↰⪸-56=⫖↰⪸-58","layer":0}]}
{"id":476,"expression_no_base_symbol":"⇵⪽((($2049$⩹$1685$)∥⊢⊲($4012$⊔$1019$))≌(($1691$≀⫉$3374$)⊔($6756$⨐⩸⫘$1783$)))","expression":"⇵⪽(((⫖↰⪸1229⩹⫖↰⪸B85)∥⊢⊲(⫖↰⪸23A4⊔⫖↰⪸70B))≌((⫖↰⪸B8B≀⫉⫖↰⪸1B52)⊔(⫖↰⪸3AB0⨐⩸⫘⫖↰⪸1047)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":313,"operation_count":8,"complexity_ratio":39.125,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2049,"base":12},"right_expr":{"type":"numeric_atoms","value":1685,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4012,"base":12},"right_expr":{"type":"numeric_atoms","value":1019,"base":12}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1691,"base":12},"right_expr":{"type":"numeric_atoms","value":3374,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6756,"base":12},"right_expr":{"type":"numeric_atoms","value":1783,"base":12}}}}},"used_operators":["ZGCBLdVRRX","lyWz822IDG","v1UQAVDJRr","2Wsdkap16l","E4l6HwMY31","oZj3VtZNQx","fu6greOZ01"],"dependent_operators":["U7g4x0WXJJ","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1685, 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=1683","layer":3},{"info":"number node, value=4012","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=4012, right_input=1019, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10719","layer":3},{"info":"compute binary expreesion, left_input=1683, right_input=10719, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=1691","layer":4},{"info":"number node, value=3374","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=3374, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=6756","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=6756, right_input=1783, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇵⪽(((⫖↰⪸1229⩹⫖↰⪸B85)∥⊢⊲(⫖↰⪸23A4⊔⫖↰⪸70B))≌((⫖↰⪸B8B≀⫉⫖↰⪸1B52)⊔(⫖↰⪸3AB0⨐⩸⫘⫖↰⪸1047)))=NaN","reverse_text":"NaN=⇵⪽(((⫖↰⪸1229⩹⫖↰⪸B85)∥⊢⊲(⫖↰⪸23A4⊔⫖↰⪸70B))≌((⫖↰⪸B8B≀⫉⫖↰⪸1B52)⊔(⫖↰⪸3AB0⨐⩸⫘⫖↰⪸1047)))","cot":[{"info":"⫖↰⪸1229⩹⫖↰⪸B85=⫖↰⪸B83","layer":3},{"info":"⫖↰⪸23A4⊔⫖↰⪸70B=⫖↰⪸6253","layer":3},{"info":"⫖↰⪸B83∥⊢⊲⫖↰⪸6253=NaN","layer":2},{"info":"⫖↰⪸B8B≀⫉⫖↰⪸1B52=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸3AB0⨐⩸⫘⫖↰⪸1047=NaN","layer":3},{"info":"⫖↰⪸1772⊔NaN=NaN","layer":2},{"info":"NaN≌NaN=NaN","layer":1},{"info":"⇵⪽NaN=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"⇖⫷⫕($2788$⪎↠$1183$⫒⫫($2467$⫚↹⊑$2457$)⫰⋱($1218$⪉⨛$1346$)⪨⊡($2034$⪇≇⋚$4455$))","expression":"⇖⫷⫕(⫖↰⪸1744⪎↠⫖↰⪸827⫒⫫(⫖↰⪸1517⫚↹⊑⫖↰⪸1509)⫰⋱(⫖↰⪸856⪉⨛⫖↰⪸942)⪨⊡(⫖↰⪸1216⪇≇⋚⫖↰⪸26B3))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26565,"operation_count":8,"complexity_ratio":3320.625,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2788,"base":12},"right_expr":{"type":"numeric_atoms","value":1183,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2467,"base":12},"right_expr":{"type":"numeric_atoms","value":2457,"base":12}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1218,"base":12},"right_expr":{"type":"numeric_atoms","value":1346,"base":12}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2034,"base":12},"right_expr":{"type":"numeric_atoms","value":4455,"base":12}}}}},"used_operators":["UHmRx3INFg","6o9Blt3TJ6","6Ko8hGgeMq","3tVxb0NHM4","dfKe02y8D2","kuIXHzHcAH","EWw2JM7wp4","3sJ7IOPOlU"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⫖↰⪸1772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=1183, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=2457, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1346, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2523","layer":3},{"info":"number node, value=2034","layer":4},{"info":"number node, value=4455","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=4455, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2523, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=789, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":12,"result_base":12,"text":"⇖⫷⫕(⫖↰⪸1744⪎↠⫖↰⪸827⫒⫫(⫖↰⪸1517⫚↹⊑⫖↰⪸1509)⫰⋱(⫖↰⪸856⪉⨛⫖↰⪸942)⪨⊡(⫖↰⪸1216⪇≇⋚⫖↰⪸26B3))=⫖↰⪸1772","reverse_text":"⫖↰⪸1772=⇖⫷⫕(⫖↰⪸1744⪎↠⫖↰⪸827⫒⫫(⫖↰⪸1517⫚↹⊑⫖↰⪸1509)⫰⋱(⫖↰⪸856⪉⨛⫖↰⪸942)⪨⊡(⫖↰⪸1216⪇≇⋚⫖↰⪸26B3))","cot":[{"info":"⫖↰⪸1744⪎↠⫖↰⪸827=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1517⫚↹⊑⫖↰⪸1509=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸114⫒⫫⫖↰⪸-313=NaN","layer":2},{"info":"⫖↰⪸856⪉⨛⫖↰⪸942=⫖↰⪸1563","layer":3},{"info":"⫖↰⪸1216⪇≇⋚⫖↰⪸26B3=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1563⪨⊡⫖↰⪸0=⫖↰⪸559","layer":2},{"info":"NaN⫰⋱⫖↰⪸559=NaN","layer":1},{"info":"⇖⫷⫕NaN=⫖↰⪸1772","layer":0}]}
{"id":478,"expression_no_base_symbol":"(⊑($5300$⩺⪪$3079$))⪔⊥$4055$⩦$2446$⇤($4730$⇷$5821$)⊉≛↸($2687$⩨$5030$)⪢$1569$⊋$6077$⇴(⨭⩧⫛($1083$⫸⊐$2587$))","expression":"(⊑(⫖↰⪸3098⩺⪪⫖↰⪸1947))⪔⊥⫖↰⪸241B⩦⫖↰⪸14BA⇤(⫖↰⪸28A2⇷⫖↰⪸3451)⊉≛↸(⫖↰⪸167B⩨⫖↰⪸2AB2)⪢⫖↰⪸AA9⊋⫖↰⪸3625⇴(⨭⩧⫛(⫖↰⪸763⫸⊐⫖↰⪸15B7))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":76015,"operation_count":13,"complexity_ratio":5847.307692307692,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5300,"base":12},"right_expr":{"type":"numeric_atoms","value":3079,"base":12}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4055,"base":12},"right_expr":{"type":"numeric_atoms","value":2446,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4730,"base":12},"right_expr":{"type":"numeric_atoms","value":5821,"base":12}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2687,"base":12},"right_expr":{"type":"numeric_atoms","value":5030,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1569,"base":12},"right_expr":{"type":"numeric_atoms","value":6077,"base":12}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1083,"base":12},"right_expr":{"type":"numeric_atoms","value":2587,"base":12}}}}},"used_operators":["DZ8iAZOCBD","HJ9erzHUuu","IkUmn0D7oy","uvdQJvN4PV","YSKBFp38Pu","0kmYd0q39Y","mp7IySMOzn","4JB6nKBMSY","dWAJyo7jo9","2DlMacCsIx","W4tP9CfskL","g21JL6JxX7","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","NTOWxs364D","COABgblf1C","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫖↰⪸852","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5300","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=5300, right_input=3079, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-36434","layer":3},{"info":"compute unary expreesion, input=-36434, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=4055","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=4055, right_input=2446, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8110","layer":3},{"info":"number node, value=4730","layer":4},{"info":"number node, value=5821","layer":4},{"info":"compute binary expreesion, left_input=4730, right_input=5821, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11642","layer":3},{"info":"compute binary expreesion, left_input=8110, right_input=11642, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-95912","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-95912, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=607","layer":1},{"info":"number node, value=2687","layer":4},{"info":"number node, value=5030","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=5030, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1569","layer":4},{"info":"number node, value=6077","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=6077, 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=-214386868","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-214386868, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1083","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=2587, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10223","layer":3},{"info":"compute unary expreesion, input=10223, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=607, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1214","layer":0}],"base":12,"result_base":12,"text":"(⊑(⫖↰⪸3098⩺⪪⫖↰⪸1947))⪔⊥⫖↰⪸241B⩦⫖↰⪸14BA⇤(⫖↰⪸28A2⇷⫖↰⪸3451)⊉≛↸(⫖↰⪸167B⩨⫖↰⪸2AB2)⪢⫖↰⪸AA9⊋⫖↰⪸3625⇴(⨭⩧⫛(⫖↰⪸763⫸⊐⫖↰⪸15B7))=⫖↰⪸852","reverse_text":"⫖↰⪸852=(⊑(⫖↰⪸3098⩺⪪⫖↰⪸1947))⪔⊥⫖↰⪸241B⩦⫖↰⪸14BA⇤(⫖↰⪸28A2⇷⫖↰⪸3451)⊉≛↸(⫖↰⪸167B⩨⫖↰⪸2AB2)⪢⫖↰⪸AA9⊋⫖↰⪸3625⇴(⨭⩧⫛(⫖↰⪸763⫸⊐⫖↰⪸15B7))","cot":[{"info":"⫖↰⪸3098⩺⪪⫖↰⪸1947=⫖↰⪸-19102","layer":3},{"info":"⊑⫖↰⪸-19102=⫖↰⪸140","layer":2},{"info":"⫖↰⪸241B⩦⫖↰⪸14BA=⫖↰⪸483A","layer":3},{"info":"⫖↰⪸28A2⇷⫖↰⪸3451=⫖↰⪸68A2","layer":3},{"info":"⫖↰⪸483A⇤⫖↰⪸68A2=⫖↰⪸-47608","layer":2},{"info":"⫖↰⪸140⪔⊥⫖↰⪸-47608=⫖↰⪸427","layer":1},{"info":"⫖↰⪸167B⩨⫖↰⪸2AB2=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸AA9⊋⫖↰⪸3625=⫖↰⪸-5B96A584","layer":3},{"info":"⫖↰⪸-3⪢⫖↰⪸-5B96A584=NaN","layer":2},{"info":"⫖↰⪸763⫸⊐⫖↰⪸15B7=⫖↰⪸5ABB","layer":3},{"info":"⨭⩧⫛⫖↰⪸5ABB=NaN","layer":2},{"info":"NaN⇴NaN=NaN","layer":1},{"info":"⫖↰⪸427⊉≛↸NaN=⫖↰⪸852","layer":0}]}
{"id":479,"expression_no_base_symbol":"⨆≐≲(($2455$⊨$1107$)⪶≀⋏($2312$⪔$2092$)⪁(($3272$⊍⩺⋍$2818$)∸))","expression":"⨆≐≲((⫖↰⪸1507⊨⫖↰⪸783)⪶≀⋏(⫖↰⪸1408⪔⫖↰⪸1264)⪁((⫖↰⪸1A88⊍⩺⋍⫖↰⪸176A)∸))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":743639,"operation_count":7,"complexity_ratio":106234.14285714286,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2455,"base":12},"right_expr":{"type":"numeric_atoms","value":1107,"base":12}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2312,"base":12},"right_expr":{"type":"numeric_atoms","value":2092,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3272,"base":12},"right_expr":{"type":"numeric_atoms","value":2818,"base":12}}}}},"used_operators":["Bi9z9uYZqW","I7sXao9hZE","zR4jO40bMj","vg4gO5BX6G","GjBEYRfMaF","o20kRiQErp","OXDGMFPWZM"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","tmPS8pqC7x","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⫖↰⪸-81658","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=1107, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10851","layer":3},{"info":"number node, value=2312","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=2092, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=10851, right_input=450, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-33685","layer":2},{"info":"number node, value=3272","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=2818, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-33685, right_input=177, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":12,"result_base":12,"text":"⨆≐≲((⫖↰⪸1507⊨⫖↰⪸783)⪶≀⋏(⫖↰⪸1408⪔⫖↰⪸1264)⪁((⫖↰⪸1A88⊍⩺⋍⫖↰⪸176A)∸))=⫖↰⪸-81658","reverse_text":"⫖↰⪸-81658=⨆≐≲((⫖↰⪸1507⊨⫖↰⪸783)⪶≀⋏(⫖↰⪸1408⪔⫖↰⪸1264)⪁((⫖↰⪸1A88⊍⩺⋍⫖↰⪸176A)∸))","cot":[{"info":"⫖↰⪸1507⊨⫖↰⪸783=⫖↰⪸6343","layer":3},{"info":"⫖↰⪸1408⪔⫖↰⪸1264=⫖↰⪸316","layer":3},{"info":"⫖↰⪸6343⪶≀⋏⫖↰⪸316=⫖↰⪸-175B1","layer":2},{"info":"⫖↰⪸1A88⊍⩺⋍⫖↰⪸176A=NaN","layer":3},{"info":"NaN∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸-175B1⪁⫖↰⪸129=NaN","layer":1},{"info":"⨆≐≲NaN=⫖↰⪸-81658","layer":0}]}
{"id":480,"expression_no_base_symbol":"(($2533$+⇶⊼$4121$∠↢($1228$↱$1183$))↞⋁((≉$2457$)↤⩊($1370$⨐⩸⫘$6787$)))≁↽≥(($1101$⊕∕$5419$⊍⩺⋍($2566$⊊))≝⊿(($5153$⫚↹⊑$1069$)⇴($2838$⩎⪣⊞)))","expression":"((⫖↰⪸1571+⇶⊼⫖↰⪸2475∠↢(⫖↰⪸864↱⫖↰⪸827))↞⋁((≉⫖↰⪸1509)↤⩊(⫖↰⪸962⨐⩸⫘⫖↰⪸3B17)))≁↽≥((⫖↰⪸779⊕∕⫖↰⪸3177⊍⩺⋍(⫖↰⪸159A⊊))≝⊿((⫖↰⪸2B95⫚↹⊑⫖↰⪸751)⇴(⫖↰⪸1786⩎⪣⊞)))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":40660,"operation_count":15,"complexity_ratio":2710.6666666666665,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2533,"base":12},"right_expr":{"type":"numeric_atoms","value":4121,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1228,"base":12},"right_expr":{"type":"numeric_atoms","value":1183,"base":12}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2457,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1370,"base":12},"right_expr":{"type":"numeric_atoms","value":6787,"base":12}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1101,"base":12},"right_expr":{"type":"numeric_atoms","value":5419,"base":12}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":2566,"base":12}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5153,"base":12},"right_expr":{"type":"numeric_atoms","value":1069,"base":12}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":2838,"base":12}}}}},"used_operators":["ncHt1X6cMc","RqrPlJkxDo","KbjG8mgYpV","TpPTUOHfaN","SR5kFfdi6N","13rbtpv6ld","e1ybzncUwg","fu6greOZ01","OKKcZfAt5B","OXDGMFPWZM","9cloC0Ngie","W9R8I5fN5A","4JB6nKBMSY","dfKe02y8D2","waWucp1uQ4"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","AHs5Up7iyr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","12rbrZMWeM","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2533","layer":4},{"info":"number node, value=4121","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=4121, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1228","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1183, 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=-3027","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3027, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=2457","layer":4},{"info":"compute unary expreesion, input=2457, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2988","layer":3},{"info":"number node, value=1370","layer":4},{"info":"number node, value=6787","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=6787, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2988, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1101","layer":4},{"info":"number node, value=5419","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=5419, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1101","layer":3},{"info":"number node, value=2566","layer":4},{"info":"compute unary expreesion, input=2566, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=1101, right_input=90927, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=5153","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=5153, right_input=1069, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2838","layer":4},{"info":"compute unary expreesion, input=2838, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=5676","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=5676, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=8284","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8284, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1571+⇶⊼⫖↰⪸2475∠↢(⫖↰⪸864↱⫖↰⪸827))↞⋁((≉⫖↰⪸1509)↤⩊(⫖↰⪸962⨐⩸⫘⫖↰⪸3B17)))≁↽≥((⫖↰⪸779⊕∕⫖↰⪸3177⊍⩺⋍(⫖↰⪸159A⊊))≝⊿((⫖↰⪸2B95⫚↹⊑⫖↰⪸751)⇴(⫖↰⪸1786⩎⪣⊞)))=NaN","reverse_text":"NaN=((⫖↰⪸1571+⇶⊼⫖↰⪸2475∠↢(⫖↰⪸864↱⫖↰⪸827))↞⋁((≉⫖↰⪸1509)↤⩊(⫖↰⪸962⨐⩸⫘⫖↰⪸3B17)))≁↽≥((⫖↰⪸779⊕∕⫖↰⪸3177⊍⩺⋍(⫖↰⪸159A⊊))≝⊿((⫖↰⪸2B95⫚↹⊑⫖↰⪸751)⇴(⫖↰⪸1786⩎⪣⊞)))","cot":[{"info":"⫖↰⪸1571+⇶⊼⫖↰⪸2475=NaN","layer":3},{"info":"⫖↰⪸864↱⫖↰⪸827=⫖↰⪸-1903","layer":3},{"info":"NaN∠↢⫖↰⪸-1903=NaN","layer":2},{"info":"≉⫖↰⪸1509=⫖↰⪸1890","layer":3},{"info":"⫖↰⪸962⨐⩸⫘⫖↰⪸3B17=NaN","layer":3},{"info":"⫖↰⪸1890↤⩊NaN=NaN","layer":2},{"info":"NaN↞⋁NaN=NaN","layer":1},{"info":"⫖↰⪸779⊕∕⫖↰⪸3177=⫖↰⪸779","layer":3},{"info":"⫖↰⪸159A⊊=⫖↰⪸44753","layer":3},{"info":"⫖↰⪸779⊍⩺⋍⫖↰⪸44753=NaN","layer":2},{"info":"⫖↰⪸2B95⫚↹⊑⫖↰⪸751=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1786⩎⪣⊞=⫖↰⪸3350","layer":3},{"info":"⫖↰⪸-313⇴⫖↰⪸3350=⫖↰⪸4964","layer":2},{"info":"NaN≝⊿⫖↰⪸4964=NaN","layer":1},{"info":"NaN≁↽≥NaN=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"($1094$⨐$6353$⪭$6589$⇡⇂$4627$)↤⩊(($1248$⊪)⨎$1279$≧⫂∧$1461$)*(($1688$⫩)≹⇙⪍$4840$↹⊜$1074$⫔⩽⩺((≀↧⇸$1014$)∈))","expression":"(⫖↰⪸772⨐⫖↰⪸3815⪭⫖↰⪸3991⇡⇂⫖↰⪸2817)↤⩊((⫖↰⪸880⊪)⨎⫖↰⪸8A7≧⫂∧⫖↰⪸A19)*((⫖↰⪸B88⫩)≹⇙⪍⫖↰⪸2974↹⊜⫖↰⪸756⫔⩽⩺((≀↧⇸⫖↰⪸706)∈))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25965,"operation_count":14,"complexity_ratio":1854.642857142857,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1094,"base":12},"right_expr":{"type":"numeric_atoms","value":6353,"base":12}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6589,"base":12},"right_expr":{"type":"numeric_atoms","value":4627,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1248,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1279,"base":12},"right_expr":{"type":"numeric_atoms","value":1461,"base":12}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1688,"base":12}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4840,"base":12},"right_expr":{"type":"numeric_atoms","value":1074,"base":12}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1014,"base":12}}}}},"used_operators":["9HNa5Wba9A","13rbtpv6ld","j9kHMeSvPp","Noe24qw2ks","UMwdvZNt44","rJVOvQCfKK","zVYPLywUTj","Ph9nP6C5qx","i9eR4S00cU","AHs5Up7iyr","6aG7x05OhS","9bazX3JMtO","ztP7wcbY7m","ljTHtUsqzn"],"dependent_operators":["W4YGzv6Whe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","dWAJyo7jo9","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","XPYlsWDdGa","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=6353","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=6353, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2188","layer":3},{"info":"number node, value=6589","layer":4},{"info":"number node, value=4627","layer":4},{"info":"compute binary expreesion, left_input=6589, right_input=4627, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2188, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=2014","layer":2},{"info":"number node, value=1248","layer":4},{"info":"compute unary expreesion, input=1248, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1461, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=988","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=988, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=988","layer":2},{"info":"compute binary expreesion, left_input=2014, right_input=988, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=4840","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=1074, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5288, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2028","layer":3},{"info":"compute unary expreesion, input=2028, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=5413","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5413, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸772⨐⫖↰⪸3815⪭⫖↰⪸3991⇡⇂⫖↰⪸2817)↤⩊((⫖↰⪸880⊪)⨎⫖↰⪸8A7≧⫂∧⫖↰⪸A19)*((⫖↰⪸B88⫩)≹⇙⪍⫖↰⪸2974↹⊜⫖↰⪸756⫔⩽⩺((≀↧⇸⫖↰⪸706)∈))=NaN","reverse_text":"NaN=(⫖↰⪸772⨐⫖↰⪸3815⪭⫖↰⪸3991⇡⇂⫖↰⪸2817)↤⩊((⫖↰⪸880⊪)⨎⫖↰⪸8A7≧⫂∧⫖↰⪸A19)*((⫖↰⪸B88⫩)≹⇙⪍⫖↰⪸2974↹⊜⫖↰⪸756⫔⩽⩺((≀↧⇸⫖↰⪸706)∈))","cot":[{"info":"⫖↰⪸772⨐⫖↰⪸3815=⫖↰⪸-1324","layer":3},{"info":"⫖↰⪸3991⇡⇂⫖↰⪸2817=NaN","layer":3},{"info":"⫖↰⪸-1324⪭NaN=⫖↰⪸11BA","layer":2},{"info":"⫖↰⪸880⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸8A7≧⫂∧⫖↰⪸A19=⫖↰⪸6A4","layer":3},{"info":"⫖↰⪸0⨎⫖↰⪸6A4=⫖↰⪸6A4","layer":2},{"info":"⫖↰⪸11BA↤⩊⫖↰⪸6A4=NaN","layer":1},{"info":"⫖↰⪸B88⫩=NaN","layer":3},{"info":"⫖↰⪸2974↹⊜⫖↰⪸756=⫖↰⪸3088","layer":3},{"info":"NaN≹⇙⪍⫖↰⪸3088=NaN","layer":2},{"info":"≀↧⇸⫖↰⪸706=⫖↰⪸1210","layer":3},{"info":"⫖↰⪸1210∈=⫖↰⪸3171","layer":2},{"info":"NaN⫔⩽⩺⫖↰⪸3171=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"(⊽($2442$⨐$5397$))⪨⊡((⨰⫟⨤$5251$)⋷(∷≠$4999$))∪⫐($5330$∌↝$1599$)⨼⩣(≑⋹$1013$)∙⊟(⋃$4859$)∝$4123$⪝$2908$","expression":"(⊽(⫖↰⪸14B6⨐⫖↰⪸3159))⪨⊡((⨰⫟⨤⫖↰⪸3057)⋷(∷≠⫖↰⪸2A87))∪⫐(⫖↰⪸3102∌↝⫖↰⪸B13)⨼⩣(≑⋹⫖↰⪸705)∙⊟(⋃⫖↰⪸298B)∝⫖↰⪸2477⪝⫖↰⪸1824","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":21165,"operation_count":14,"complexity_ratio":1511.7857142857142,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2442,"base":12},"right_expr":{"type":"numeric_atoms","value":5397,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5251,"base":12}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4999,"base":12}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5330,"base":12},"right_expr":{"type":"numeric_atoms","value":1599,"base":12}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1013,"base":12}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":4859,"base":12}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4123,"base":12},"right_expr":{"type":"numeric_atoms","value":2908,"base":12}}}}},"used_operators":["7YooWSwCyH","kuIXHzHcAH","QxG7OkqoLX","Noe24qw2ks","23Mk6UjR3U","Tw270M8GLb","QiR2Oyf5Xj","SxTAKzQCrw","JxwMv5le6e","9Isq31Ruls","6B9nyZLogK","cTDWOvIxvz","3mBM5G4a3l","wicAB68Tmb"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","7j4O788W3g","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","g55IO6H4Gj","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2442","layer":4},{"info":"number node, value=5397","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=5397, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4884","layer":3},{"info":"compute unary expreesion, input=-4884, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=5251","layer":4},{"info":"compute unary expreesion, input=5251, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4999","layer":4},{"info":"compute unary expreesion, input=4999, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4999","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4999, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=5330","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=5330, right_input=1599, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=4859","layer":4},{"info":"compute unary expreesion, input=4859, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=9820","layer":3},{"info":"number node, value=4123","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=4123, right_input=2908, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5259","layer":3},{"info":"compute binary expreesion, left_input=9820, right_input=-5259, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=9825","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9825, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊽(⫖↰⪸14B6⨐⫖↰⪸3159))⪨⊡((⨰⫟⨤⫖↰⪸3057)⋷(∷≠⫖↰⪸2A87))∪⫐(⫖↰⪸3102∌↝⫖↰⪸B13)⨼⩣(≑⋹⫖↰⪸705)∙⊟(⋃⫖↰⪸298B)∝⫖↰⪸2477⪝⫖↰⪸1824=NaN","reverse_text":"NaN=(⊽(⫖↰⪸14B6⨐⫖↰⪸3159))⪨⊡((⨰⫟⨤⫖↰⪸3057)⋷(∷≠⫖↰⪸2A87))∪⫐(⫖↰⪸3102∌↝⫖↰⪸B13)⨼⩣(≑⋹⫖↰⪸705)∙⊟(⋃⫖↰⪸298B)∝⫖↰⪸2477⪝⫖↰⪸1824","cot":[{"info":"⫖↰⪸14B6⨐⫖↰⪸3159=⫖↰⪸-29B0","layer":3},{"info":"⊽⫖↰⪸-29B0=⫖↰⪸0","layer":2},{"info":"⨰⫟⨤⫖↰⪸3057=NaN","layer":3},{"info":"∷≠⫖↰⪸2A87=⫖↰⪸2A87","layer":3},{"info":"NaN⋷⫖↰⪸2A87=NaN","layer":2},{"info":"⫖↰⪸0⪨⊡NaN=NaN","layer":1},{"info":"⫖↰⪸3102∌↝⫖↰⪸B13=⫖↰⪸0","layer":3},{"info":"≑⋹⫖↰⪸705=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸0⨼⩣⫖↰⪸B56=NaN","layer":2},{"info":"⋃⫖↰⪸298B=⫖↰⪸5824","layer":3},{"info":"⫖↰⪸2477⪝⫖↰⪸1824=⫖↰⪸-3063","layer":3},{"info":"⫖↰⪸5824∝⫖↰⪸-3063=⫖↰⪸5829","layer":2},{"info":"NaN∙⊟⫖↰⪸5829=NaN","layer":1},{"info":"NaN∪⫐NaN=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"((∤↝$3371$)⊘)≒∊($1577$≚⊃≕$1746$)≎⪠($1159$≧⫂∧$2009$)∟","expression":"((∤↝⫖↰⪸1B4B)⊘)≒∊(⫖↰⪸AB5≚⊃≕⫖↰⪸1016)≎⪠(⫖↰⪸807≧⫂∧⫖↰⪸11B5)∟","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19207,"operation_count":7,"complexity_ratio":2743.8571428571427,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3371,"base":12}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1577,"base":12},"right_expr":{"type":"numeric_atoms","value":1746,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1159,"base":12},"right_expr":{"type":"numeric_atoms","value":2009,"base":12}}}}},"used_operators":["hTbEZDJLEm","5KTvxBwnZo","gu96TGCTMs","3UMq87Qwqg","aNhz54LH3e","Bmrmz2XGnR","Ph9nP6C5qx"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸95","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3371","layer":4},{"info":"compute unary expreesion, input=3371, 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=3371","layer":3},{"info":"compute unary expreesion, input=3371, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=1577","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=1577, right_input=1746, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=2009, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1536","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1536, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19558, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":12,"result_base":12,"text":"((∤↝⫖↰⪸1B4B)⊘)≒∊(⫖↰⪸AB5≚⊃≕⫖↰⪸1016)≎⪠(⫖↰⪸807≧⫂∧⫖↰⪸11B5)∟=⫖↰⪸95","reverse_text":"⫖↰⪸95=((∤↝⫖↰⪸1B4B)⊘)≒∊(⫖↰⪸AB5≚⊃≕⫖↰⪸1016)≎⪠(⫖↰⪸807≧⫂∧⫖↰⪸11B5)∟","cot":[{"info":"∤↝⫖↰⪸1B4B=⫖↰⪸1B4B","layer":3},{"info":"⫖↰⪸1B4B⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸AB5≚⊃≕⫖↰⪸1016=⫖↰⪸57","layer":3},{"info":"⫖↰⪸807≧⫂∧⫖↰⪸11B5=⫖↰⪸A80","layer":3},{"info":"⫖↰⪸57≎⪠⫖↰⪸A80=⫖↰⪸B39A","layer":2},{"info":"⫖↰⪸0≒∊⫖↰⪸B39A=⫖↰⪸344","layer":1},{"info":"⫖↰⪸344∟=⫖↰⪸95","layer":0}]}
{"id":484,"expression_no_base_symbol":"(⩰($3643$⊭↱$3591$))⪬($1858$⊕∕$3589$⊉≛↸($6718$⩨$7044$))⪨⊡($1037$⫸⊐$2154$)↳≱(⋗⩴⪓$4298$)⇣⩺⋵(⫓⪴$3082$)↹⊜$1527$↢$6589$","expression":"(⩰(⫖↰⪸2137⊭↱⫖↰⪸20B3))⪬(⫖↰⪸10AA⊕∕⫖↰⪸20B1⊉≛↸(⫖↰⪸3A7A⩨⫖↰⪸40B0))⪨⊡(⫖↰⪸725⫸⊐⫖↰⪸12B6)↳≱(⋗⩴⪓⫖↰⪸25A2)⇣⩺⋵(⫓⪴⫖↰⪸194A)↹⊜⫖↰⪸A73↢⫖↰⪸3991","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8192,"operation_count":14,"complexity_ratio":585.1428571428571,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3643,"base":12},"right_expr":{"type":"numeric_atoms","value":3591,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1858,"base":12},"right_expr":{"type":"numeric_atoms","value":3589,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6718,"base":12},"right_expr":{"type":"numeric_atoms","value":7044,"base":12}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":2154,"base":12}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":4298,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3082,"base":12}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1527,"base":12},"right_expr":{"type":"numeric_atoms","value":6589,"base":12}}}}},"used_operators":["kuIXHzHcAH","Ez1Nq5fNfI","WkeUrDK8WX","COABgblf1C","DZ8iAZOCBD","9cloC0Ngie","2DlMacCsIx","F4yD0voBRQ","JwTKLfZU96","mqXw5SEYmG","nOKPl9n5zu","9bazX3JMtO","eLxqMNBOBk","WR6HLWljOP"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9HNa5Wba9A","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸42A77851","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3643","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=3643, right_input=3591, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-99","layer":3},{"info":"compute unary expreesion, input=-99, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-901","layer":2},{"info":"number node, value=1858","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=3589, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1858","layer":3},{"info":"number node, value=6718","layer":4},{"info":"number node, value=7044","layer":4},{"info":"compute binary expreesion, left_input=6718, right_input=7044, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=1858, right_input=-3, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3716","layer":2},{"info":"compute binary expreesion, left_input=-901, right_input=3716, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1037","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2154, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8491","layer":3},{"info":"number node, value=4298","layer":4},{"info":"compute unary expreesion, input=4298, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3385","layer":3},{"info":"compute binary expreesion, left_input=8491, right_input=-3385, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=3082","layer":4},{"info":"compute unary expreesion, input=3082, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9498724","layer":3},{"info":"number node, value=1527","layer":4},{"info":"number node, value=6589","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=6589, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1043","layer":3},{"info":"compute binary expreesion, left_input=9498724, right_input=1043, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=18993180","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=18993180, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-37986298","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-37986298, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=151945981","layer":0}],"base":12,"result_base":12,"text":"(⩰(⫖↰⪸2137⊭↱⫖↰⪸20B3))⪬(⫖↰⪸10AA⊕∕⫖↰⪸20B1⊉≛↸(⫖↰⪸3A7A⩨⫖↰⪸40B0))⪨⊡(⫖↰⪸725⫸⊐⫖↰⪸12B6)↳≱(⋗⩴⪓⫖↰⪸25A2)⇣⩺⋵(⫓⪴⫖↰⪸194A)↹⊜⫖↰⪸A73↢⫖↰⪸3991=⫖↰⪸42A77851","reverse_text":"⫖↰⪸42A77851=(⩰(⫖↰⪸2137⊭↱⫖↰⪸20B3))⪬(⫖↰⪸10AA⊕∕⫖↰⪸20B1⊉≛↸(⫖↰⪸3A7A⩨⫖↰⪸40B0))⪨⊡(⫖↰⪸725⫸⊐⫖↰⪸12B6)↳≱(⋗⩴⪓⫖↰⪸25A2)⇣⩺⋵(⫓⪴⫖↰⪸194A)↹⊜⫖↰⪸A73↢⫖↰⪸3991","cot":[{"info":"⫖↰⪸2137⊭↱⫖↰⪸20B3=⫖↰⪸-83","layer":3},{"info":"⩰⫖↰⪸-83=⫖↰⪸-631","layer":2},{"info":"⫖↰⪸10AA⊕∕⫖↰⪸20B1=⫖↰⪸10AA","layer":3},{"info":"⫖↰⪸3A7A⩨⫖↰⪸40B0=⫖↰⪸-3","layer":3},{"info":"⫖↰⪸10AA⊉≛↸⫖↰⪸-3=⫖↰⪸2198","layer":2},{"info":"⫖↰⪸-631⪬⫖↰⪸2198=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸725⫸⊐⫖↰⪸12B6=⫖↰⪸4AB7","layer":3},{"info":"⋗⩴⪓⫖↰⪸25A2=⫖↰⪸-1B61","layer":3},{"info":"⫖↰⪸4AB7↳≱⫖↰⪸-1B61=⫖↰⪸0","layer":2},{"info":"⫓⪴⫖↰⪸194A=⫖↰⪸3220B44","layer":3},{"info":"⫖↰⪸A73↢⫖↰⪸3991=⫖↰⪸72B","layer":3},{"info":"⫖↰⪸3220B44↹⊜⫖↰⪸72B=⫖↰⪸643B510","layer":2},{"info":"⫖↰⪸0⇣⩺⋵⫖↰⪸643B510=⫖↰⪸-1087A98A","layer":1},{"info":"⫖↰⪸86A⪨⊡⫖↰⪸-1087A98A=⫖↰⪸42A77851","layer":0}]}
{"id":485,"expression_no_base_symbol":"≦∁((⊽$2169$)⇯⋐)↢(↪⫪⫘($1518$⋕⪉⪜$4410$))","expression":"≦∁((⊽⫖↰⪸1309)⇯⋐)↢(↪⫪⫘(⫖↰⪸A66⋕⪉⪜⫖↰⪸2676))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":113,"operation_count":6,"complexity_ratio":18.833333333333332,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2169,"base":12}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1518,"base":12},"right_expr":{"type":"numeric_atoms","value":4410,"base":12}}}}},"used_operators":["9ICcGScMcE","WR6HLWljOP","LkLIoiE525","QxG7OkqoLX","9dWsAM3GFt","z6LnFrNh4i"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⫖↰⪸A49A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5860","layer":3},{"info":"compute unary expreesion, input=5860, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=18458","layer":2},{"info":"number node, value=1518","layer":4},{"info":"number node, value=4410","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=4410, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=18458, right_input=20, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=17974","layer":1},{"info":"compute unary expreesion, input=17974, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=17974","layer":0}],"base":12,"result_base":12,"text":"≦∁((⊽⫖↰⪸1309)⇯⋐)↢(↪⫪⫘(⫖↰⪸A66⋕⪉⪜⫖↰⪸2676))=⫖↰⪸A49A","reverse_text":"⫖↰⪸A49A=≦∁((⊽⫖↰⪸1309)⇯⋐)↢(↪⫪⫘(⫖↰⪸A66⋕⪉⪜⫖↰⪸2676))","cot":[{"info":"⊽⫖↰⪸1309=⫖↰⪸3484","layer":3},{"info":"⫖↰⪸3484⇯⋐=⫖↰⪸A822","layer":2},{"info":"⫖↰⪸A66⋕⪉⪜⫖↰⪸2676=⫖↰⪸150","layer":3},{"info":"↪⫪⫘⫖↰⪸150=⫖↰⪸18","layer":2},{"info":"⫖↰⪸A822↢⫖↰⪸18=⫖↰⪸A49A","layer":1},{"info":"≦∁⫖↰⪸A49A=⫖↰⪸A49A","layer":0}]}
{"id":486,"expression_no_base_symbol":"(⪫⨮⊛($7173$⇣⩺⋵$8916$⊋≦⊧$4717$∇⊂⋱$1318$))≝⊰⇂","expression":"(⪫⨮⊛(⫖↰⪸4199⇣⩺⋵⫖↰⪸51B0⊋≦⊧⫖↰⪸2891∇⊂⋱⫖↰⪸91A))≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":96,"operation_count":5,"complexity_ratio":19.2,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":7173,"base":12},"right_expr":{"type":"numeric_atoms","value":8916,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4717,"base":12},"right_expr":{"type":"numeric_atoms","value":1318,"base":12}}}}},"used_operators":["htSmYCowi5","w5FWba1tyO","oRDoc9rAEX","F4yD0voBRQ","nhYeJWJD5X"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⫖↰⪸18A","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=7173","layer":4},{"info":"number node, value=8916","layer":4},{"info":"compute binary expreesion, left_input=7173, right_input=8916, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=4717","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=4717, right_input=1318, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=8888","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=8888, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=250","layer":0}],"base":12,"result_base":12,"text":"(⪫⨮⊛(⫖↰⪸4199⇣⩺⋵⫖↰⪸51B0⊋≦⊧⫖↰⪸2891∇⊂⋱⫖↰⪸91A))≝⊰⇂=⫖↰⪸18A","reverse_text":"⫖↰⪸18A=(⪫⨮⊛(⫖↰⪸4199⇣⩺⋵⫖↰⪸51B0⊋≦⊧⫖↰⪸2891∇⊂⋱⫖↰⪸91A))≝⊰⇂","cot":[{"info":"⫖↰⪸4199⇣⩺⋵⫖↰⪸51B0=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸2891∇⊂⋱⫖↰⪸91A=⫖↰⪸5188","layer":3},{"info":"⫖↰⪸-198⊋≦⊧⫖↰⪸5188=⫖↰⪸140","layer":2},{"info":"⪫⨮⊛⫖↰⪸140=⫖↰⪸140","layer":1},{"info":"⫖↰⪸140≝⊰⇂=⫖↰⪸18A","layer":0}]}
{"id":487,"expression_no_base_symbol":"((⇋⊎⋝$3213$)⇼⇔∾($5883$⋩≍≻))⨻⩈⩔($2638$≚⊃≕$1376$)⫁⪎($4441$≳⇉$2448$)⪉⨛($3815$⨑⩅≇$3190$⇌⫙⪟$3609$⨚⇆$1488$)⪛($7918$∀⇚≩$1944$)⨔⇊($2214$⨰$4624$)","expression":"((⇋⊎⋝⫖↰⪸1A39)⇼⇔∾(⫖↰⪸34A3⋩≍≻))⨻⩈⩔(⫖↰⪸163A≚⊃≕⫖↰⪸968)⫁⪎(⫖↰⪸26A1≳⇉⫖↰⪸1500)⪉⨛(⫖↰⪸225B⨑⩅≇⫖↰⪸1A1A⇌⫙⪟⫖↰⪸2109⨚⇆⫖↰⪸A40)⪛(⫖↰⪸46BA∀⇚≩⫖↰⪸1160)⨔⇊(⫖↰⪸1346⨰⫖↰⪸2814)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":73194751,"operation_count":15,"complexity_ratio":4879650.066666666,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3213,"base":12}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":5883,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2638,"base":12},"right_expr":{"type":"numeric_atoms","value":1376,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4441,"base":12},"right_expr":{"type":"numeric_atoms","value":2448,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3815,"base":12},"right_expr":{"type":"numeric_atoms","value":3190,"base":12}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3609,"base":12},"right_expr":{"type":"numeric_atoms","value":1488,"base":12}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7918,"base":12},"right_expr":{"type":"numeric_atoms","value":1944,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2214,"base":12},"right_expr":{"type":"numeric_atoms","value":4624,"base":12}}}}},"used_operators":["EWw2JM7wp4","nEsXyWgiOK","tifHPKVTfV","CzM2PEoXns","WYd1w68Nbz","xRrnTEsQ6j","Bmrmz2XGnR","V0kx6qeWkN","uFcxV4UQCh","AFVx7xoS7T","h92wMvzauj","lwHaAYXP2r","JclMnS0uGI","LRNGc0VcxI","eewbuw0ToL"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3213","layer":4},{"info":"compute unary expreesion, input=3213, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=5883","layer":4},{"info":"compute unary expreesion, input=5883, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=2638","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=1376, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=4441","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=4441, right_input=2448, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"number node, value=3815","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=3190, 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=-11445","layer":3},{"info":"number node, value=3609","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=3609, right_input=1488, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11445, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"number node, value=7918","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=7918, right_input=1944, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2214","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=4624, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2400, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇋⊎⋝⫖↰⪸1A39)⇼⇔∾(⫖↰⪸34A3⋩≍≻))⨻⩈⩔(⫖↰⪸163A≚⊃≕⫖↰⪸968)⫁⪎(⫖↰⪸26A1≳⇉⫖↰⪸1500)⪉⨛(⫖↰⪸225B⨑⩅≇⫖↰⪸1A1A⇌⫙⪟⫖↰⪸2109⨚⇆⫖↰⪸A40)⪛(⫖↰⪸46BA∀⇚≩⫖↰⪸1160)⨔⇊(⫖↰⪸1346⨰⫖↰⪸2814)=NaN","reverse_text":"NaN=((⇋⊎⋝⫖↰⪸1A39)⇼⇔∾(⫖↰⪸34A3⋩≍≻))⨻⩈⩔(⫖↰⪸163A≚⊃≕⫖↰⪸968)⫁⪎(⫖↰⪸26A1≳⇉⫖↰⪸1500)⪉⨛(⫖↰⪸225B⨑⩅≇⫖↰⪸1A1A⇌⫙⪟⫖↰⪸2109⨚⇆⫖↰⪸A40)⪛(⫖↰⪸46BA∀⇚≩⫖↰⪸1160)⨔⇊(⫖↰⪸1346⨰⫖↰⪸2814)","cot":[{"info":"⇋⊎⋝⫖↰⪸1A39=NaN","layer":3},{"info":"⫖↰⪸34A3⋩≍≻=⫖↰⪸-47","layer":3},{"info":"NaN⇼⇔∾⫖↰⪸-47=NaN","layer":2},{"info":"⫖↰⪸163A≚⊃≕⫖↰⪸968=⫖↰⪸57","layer":3},{"info":"⫖↰⪸26A1≳⇉⫖↰⪸1500=NaN","layer":3},{"info":"⫖↰⪸57⫁⪎NaN=NaN","layer":2},{"info":"NaN⨻⩈⩔NaN=NaN","layer":1},{"info":"⫖↰⪸225B⨑⩅≇⫖↰⪸1A1A=⫖↰⪸-6759","layer":3},{"info":"⫖↰⪸2109⨚⇆⫖↰⪸A40=NaN","layer":3},{"info":"⫖↰⪸-6759⇌⫙⪟NaN=NaN","layer":2},{"info":"⫖↰⪸46BA∀⇚≩⫖↰⪸1160=NaN","layer":3},{"info":"⫖↰⪸1346⨰⫖↰⪸2814=⫖↰⪸-1480","layer":3},{"info":"NaN⨔⇊⫖↰⪸-1480=⫖↰⪸57","layer":2},{"info":"NaN⪛⫖↰⪸57=NaN","layer":1},{"info":"NaN⪉⨛NaN=NaN","layer":0}]}
{"id":488,"expression_no_base_symbol":"(→⩰(≤/$4314$))↳∿⪆(($1688$⨑≵⋬$5391$)⇟⨁⪰)⫡⨏((↔$1935$)⫁⪎($6952$⨚$4081$))⋥⋵⩄(($1527$⊵↤)⫸⊐$1029$⊹∫⫚$6841$)","expression":"(→⩰(≤/⫖↰⪸25B6))↳∿⪆((⫖↰⪸B88⨑≵⋬⫖↰⪸3153)⇟⨁⪰)⫡⨏((↔⫖↰⪸1153)⫁⪎(⫖↰⪸4034⨚⫖↰⪸2441))⋥⋵⩄((⫖↰⪸A73⊵↤)⫸⊐⫖↰⪸719⊹∫⫚⫖↰⪸3B61)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7116,"operation_count":13,"complexity_ratio":547.3846153846154,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4314,"base":12}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1688,"base":12},"right_expr":{"type":"numeric_atoms","value":5391,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1935,"base":12}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":6952,"base":12},"right_expr":{"type":"numeric_atoms","value":4081,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1527,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1029,"base":12},"right_expr":{"type":"numeric_atoms","value":6841,"base":12}}}}},"used_operators":["QMFrweE19q","Cw4SuJJGHO","o8Pngz0Tml","eLAdDNolq6","BX1lVwlMe0","XnXgA4xnOs","7t3wd0Fuz7","xRrnTEsQ6j","ruOEQAzv1W","nREPSIbpBE","mqXw5SEYmG","7IPrd9c3lf","uWAJUKEvyW"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z","2DDjHMKMc0","xUOZtlo3hN","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","BjRHVeLaeN","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4314","layer":4},{"info":"compute unary expreesion, input=4314, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3830","layer":3},{"info":"compute unary expreesion, input=-3830, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=1688","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=5391, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-27918","layer":3},{"info":"compute unary expreesion, input=-27918, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=27744","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=27744, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1935","layer":4},{"info":"compute unary expreesion, input=1935, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1662","layer":3},{"info":"number node, value=6952","layer":4},{"info":"number node, value=4081","layer":4},{"info":"compute binary expreesion, left_input=6952, right_input=4081, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1486","layer":3},{"info":"compute binary expreesion, left_input=-1662, right_input=-1486, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-176","layer":2},{"info":"number node, value=1527","layer":4},{"info":"compute unary expreesion, input=1527, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=6841","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=6841, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-356","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-356, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=134","layer":2},{"info":"compute binary expreesion, left_input=-176, right_input=134, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, 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":12,"result_base":12,"text":"(→⩰(≤/⫖↰⪸25B6))↳∿⪆((⫖↰⪸B88⨑≵⋬⫖↰⪸3153)⇟⨁⪰)⫡⨏((↔⫖↰⪸1153)⫁⪎(⫖↰⪸4034⨚⫖↰⪸2441))⋥⋵⩄((⫖↰⪸A73⊵↤)⫸⊐⫖↰⪸719⊹∫⫚⫖↰⪸3B61)=NaN","reverse_text":"NaN=(→⩰(≤/⫖↰⪸25B6))↳∿⪆((⫖↰⪸B88⨑≵⋬⫖↰⪸3153)⇟⨁⪰)⫡⨏((↔⫖↰⪸1153)⫁⪎(⫖↰⪸4034⨚⫖↰⪸2441))⋥⋵⩄((⫖↰⪸A73⊵↤)⫸⊐⫖↰⪸719⊹∫⫚⫖↰⪸3B61)","cot":[{"info":"≤/⫖↰⪸25B6=⫖↰⪸-2272","layer":3},{"info":"→⩰⫖↰⪸-2272=NaN","layer":2},{"info":"⫖↰⪸B88⨑≵⋬⫖↰⪸3153=⫖↰⪸-141A6","layer":3},{"info":"⫖↰⪸-141A6⇟⨁⪰=⫖↰⪸14080","layer":2},{"info":"NaN↳∿⪆⫖↰⪸14080=NaN","layer":1},{"info":"↔⫖↰⪸1153=⫖↰⪸-B66","layer":3},{"info":"⫖↰⪸4034⨚⫖↰⪸2441=⫖↰⪸-A3A","layer":3},{"info":"⫖↰⪸-B66⫁⪎⫖↰⪸-A3A=⫖↰⪸-128","layer":2},{"info":"⫖↰⪸A73⊵↤=⫖↰⪸57","layer":3},{"info":"⫖↰⪸719⊹∫⫚⫖↰⪸3B61=⫖↰⪸-258","layer":3},{"info":"⫖↰⪸57⫸⊐⫖↰⪸-258=⫖↰⪸B2","layer":2},{"info":"⫖↰⪸-128⋥⋵⩄⫖↰⪸B2=⫖↰⪸95","layer":1},{"info":"NaN⫡⨏⫖↰⪸95=NaN","layer":0}]}
{"id":489,"expression_no_base_symbol":"((⇾⩊⇾$7523$)⇼⇔∾$4179$⩣⫁∢$3298$)∳⫺($1949$⨚⇆$2178$)⨿($3477$⇤$3258$)⇮⋭$3044$↤⩊$1083$∓⋝(∟⋨$3051$)⫁⪎(∤$1481$⫁$2995$)","expression":"((⇾⩊⇾⫖↰⪸442B)⇼⇔∾⫖↰⪸2503⩣⫁∢⫖↰⪸1AAA)∳⫺(⫖↰⪸1165⨚⇆⫖↰⪸1316)⨿(⫖↰⪸2019⇤⫖↰⪸1A76)⇮⋭⫖↰⪸1918↤⩊⫖↰⪸763∓⋝(∟⋨⫖↰⪸1923)⫁⪎(∤⫖↰⪸A35⫁⫖↰⪸1897)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17582,"operation_count":14,"complexity_ratio":1255.857142857143,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":7523,"base":12}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4179,"base":12},"right_expr":{"type":"numeric_atoms","value":3298,"base":12}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1949,"base":12},"right_expr":{"type":"numeric_atoms","value":2178,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3477,"base":12},"right_expr":{"type":"numeric_atoms","value":3258,"base":12}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3044,"base":12},"right_expr":{"type":"numeric_atoms","value":1083,"base":12}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3051,"base":12}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1481,"base":12},"right_expr":{"type":"numeric_atoms","value":2995,"base":12}}}}},"used_operators":["vkpjKywKVM","AzXXKTstlj","tifHPKVTfV","bx9Z9DAK5y","JDUIKTTSIa","abYXlopdE0","lwHaAYXP2r","YSKBFp38Pu","xRrnTEsQ6j","PoHhknlbAi","13rbtpv6ld","ctOc4cKSDt","k2HlF1dBQh","0ajvFaJAv0"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⫖↰⪸220B6","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7523","layer":4},{"info":"compute unary expreesion, input=7523, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-74193","layer":3},{"info":"number node, value=4179","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=3298, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8197","layer":3},{"info":"compute binary expreesion, left_input=-74193, right_input=-8197, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=65996","layer":2},{"info":"number node, value=1949","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=2178, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3477","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=3477, right_input=3258, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-30827","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-30827, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=65996, right_input=67, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=3044","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=1083, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3051","layer":4},{"info":"compute unary expreesion, input=3051, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2567","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2567, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=1481","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=2995, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=9, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=58, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=45066","layer":0}],"base":12,"result_base":12,"text":"((⇾⩊⇾⫖↰⪸442B)⇼⇔∾⫖↰⪸2503⩣⫁∢⫖↰⪸1AAA)∳⫺(⫖↰⪸1165⨚⇆⫖↰⪸1316)⨿(⫖↰⪸2019⇤⫖↰⪸1A76)⇮⋭⫖↰⪸1918↤⩊⫖↰⪸763∓⋝(∟⋨⫖↰⪸1923)⫁⪎(∤⫖↰⪸A35⫁⫖↰⪸1897)=⫖↰⪸220B6","reverse_text":"⫖↰⪸220B6=((⇾⩊⇾⫖↰⪸442B)⇼⇔∾⫖↰⪸2503⩣⫁∢⫖↰⪸1AAA)∳⫺(⫖↰⪸1165⨚⇆⫖↰⪸1316)⨿(⫖↰⪸2019⇤⫖↰⪸1A76)⇮⋭⫖↰⪸1918↤⩊⫖↰⪸763∓⋝(∟⋨⫖↰⪸1923)⫁⪎(∤⫖↰⪸A35⫁⫖↰⪸1897)","cot":[{"info":"⇾⩊⇾⫖↰⪸442B=⫖↰⪸-36B29","layer":3},{"info":"⫖↰⪸2503⩣⫁∢⫖↰⪸1AAA=⫖↰⪸-48B1","layer":3},{"info":"⫖↰⪸-36B29⇼⇔∾⫖↰⪸-48B1=⫖↰⪸32238","layer":2},{"info":"⫖↰⪸1165⨚⇆⫖↰⪸1316=NaN","layer":3},{"info":"⫖↰⪸2019⇤⫖↰⪸1A76=⫖↰⪸-15A0B","layer":3},{"info":"NaN⨿⫖↰⪸-15A0B=⫖↰⪸57","layer":2},{"info":"⫖↰⪸32238∳⫺⫖↰⪸57=⫖↰⪸-198","layer":1},{"info":"⫖↰⪸1918↤⩊⫖↰⪸763=NaN","layer":3},{"info":"∟⋨⫖↰⪸1923=⫖↰⪸-159B","layer":3},{"info":"NaN∓⋝⫖↰⪸-159B=⫖↰⪸57","layer":2},{"info":"⫖↰⪸A35⫁⫖↰⪸1897=⫖↰⪸114","layer":3},{"info":"∤⫖↰⪸114=⫖↰⪸9","layer":2},{"info":"⫖↰⪸57⫁⪎⫖↰⪸9=⫖↰⪸4A","layer":1},{"info":"⫖↰⪸-198⇮⋭⫖↰⪸4A=⫖↰⪸220B6","layer":0}]}
{"id":490,"expression_no_base_symbol":"⨴⫝(($1111$⪥$4818$)⩅⪻⪻)⨐(($2009$⊋$1947$)⊴($1284$⩒⫫$1221$))","expression":"⨴⫝((⫖↰⪸787⪥⫖↰⪸2956)⩅⪻⪻)⨐((⫖↰⪸11B5⊋⫖↰⪸1163)⊴(⫖↰⪸8B0⩒⫫⫖↰⪸859))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":939195,"operation_count":7,"complexity_ratio":134170.7142857143,"tree":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1111,"base":12},"right_expr":{"type":"numeric_atoms","value":4818,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2009,"base":12},"right_expr":{"type":"numeric_atoms","value":1947,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1284,"base":12},"right_expr":{"type":"numeric_atoms","value":1221,"base":12}}}}},"used_operators":["SVb2v531z1","Noe24qw2ks","kHoXpA7yos","QbnwKVWMIQ","Nsiff2A1zJ","W4tP9CfskL","KFSx94NKJn"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⫖↰⪸B44832","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=4818","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=4818, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9096","layer":3},{"info":"compute unary expreesion, input=9096, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-1345633","layer":2},{"info":"number node, value=2009","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=1947, 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=1508132","layer":3},{"info":"number node, value=1284","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=1221, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=982","layer":3},{"info":"compute binary expreesion, left_input=1508132, right_input=982, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1345633, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=2691266","layer":1},{"info":"compute unary expreesion, input=2691266, 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":12,"result_base":12,"text":"⨴⫝((⫖↰⪸787⪥⫖↰⪸2956)⩅⪻⪻)⨐((⫖↰⪸11B5⊋⫖↰⪸1163)⊴(⫖↰⪸8B0⩒⫫⫖↰⪸859))=⫖↰⪸B44832","reverse_text":"⫖↰⪸B44832=⨴⫝((⫖↰⪸787⪥⫖↰⪸2956)⩅⪻⪻)⨐((⫖↰⪸11B5⊋⫖↰⪸1163)⊴(⫖↰⪸8B0⩒⫫⫖↰⪸859))","cot":[{"info":"⫖↰⪸787⪥⫖↰⪸2956=⫖↰⪸5320","layer":3},{"info":"⫖↰⪸5320⩅⪻⪻=⫖↰⪸-54A881","layer":2},{"info":"⫖↰⪸11B5⊋⫖↰⪸1163=⫖↰⪸608918","layer":3},{"info":"⫖↰⪸8B0⩒⫫⫖↰⪸859=⫖↰⪸69A","layer":3},{"info":"⫖↰⪸608918⊴⫖↰⪸69A=NaN","layer":2},{"info":"⫖↰⪸-54A881⨐NaN=⫖↰⪸A99542","layer":1},{"info":"⨴⫝⫖↰⪸A99542=⫖↰⪸B44832","layer":0}]}
{"id":491,"expression_no_base_symbol":"(∐⩳⋚($2762$∠⫱$4425$))≬⋮(⊢≑≆($3603$⪒⊣⊆$4845$))*(($4497$⇴$7690$⩢≌)∈)","expression":"(∐⩳⋚(⫖↰⪸1722∠⫱⫖↰⪸2689))≬⋮(⊢≑≆(⫖↰⪸2103⪒⊣⊆⫖↰⪸2979))*((⫖↰⪸2729⇴⫖↰⪸454A⩢≌)∈)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":798,"operation_count":9,"complexity_ratio":88.66666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2762,"base":12},"right_expr":{"type":"numeric_atoms","value":4425,"base":12}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3603,"base":12},"right_expr":{"type":"numeric_atoms","value":4845,"base":12}}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4497,"base":12},"right_expr":{"type":"numeric_atoms","value":7690,"base":12}}}}},"used_operators":["9HNa5Wba9A","kbkesczE7y","SL6IHkK8vl","QvoQhV0rrE","27wFxooxGf","eRqsBgTDFp","ztP7wcbY7m","D617RFjZIq","4JB6nKBMSY"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","hTbEZDJLEm","o20kRiQErp","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⫖↰⪸-11A928","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2762","layer":4},{"info":"number node, value=4425","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=4425, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=167951","layer":2},{"info":"number node, value=3603","layer":4},{"info":"number node, value=4845","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=4845, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7206","layer":3},{"info":"compute unary expreesion, input=7206, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=29276","layer":2},{"info":"compute binary expreesion, left_input=167951, right_input=29276, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=4497","layer":4},{"info":"number node, value=7690","layer":4},{"info":"compute binary expreesion, left_input=4497, right_input=7690, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=41976","layer":3},{"info":"compute unary expreesion, input=41976, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-332","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-332, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-288176","layer":0}],"base":12,"result_base":12,"text":"(∐⩳⋚(⫖↰⪸1722∠⫱⫖↰⪸2689))≬⋮(⊢≑≆(⫖↰⪸2103⪒⊣⊆⫖↰⪸2979))*((⫖↰⪸2729⇴⫖↰⪸454A⩢≌)∈)=⫖↰⪸-11A928","reverse_text":"⫖↰⪸-11A928=(∐⩳⋚(⫖↰⪸1722∠⫱⫖↰⪸2689))≬⋮(⊢≑≆(⫖↰⪸2103⪒⊣⊆⫖↰⪸2979))*((⫖↰⪸2729⇴⫖↰⪸454A⩢≌)∈)","cot":[{"info":"⫖↰⪸1722∠⫱⫖↰⪸2689=⫖↰⪸86A","layer":3},{"info":"∐⩳⋚⫖↰⪸86A=⫖↰⪸8123B","layer":2},{"info":"⫖↰⪸2103⪒⊣⊆⫖↰⪸2979=⫖↰⪸4206","layer":3},{"info":"⊢≑≆⫖↰⪸4206=⫖↰⪸14B38","layer":2},{"info":"⫖↰⪸8123B≬⋮⫖↰⪸14B38=⫖↰⪸604","layer":1},{"info":"⫖↰⪸2729⇴⫖↰⪸454A=⫖↰⪸20360","layer":3},{"info":"⫖↰⪸20360⩢≌=⫖↰⪸95","layer":2},{"info":"⫖↰⪸95∈=⫖↰⪸-238","layer":1},{"info":"⫖↰⪸604*⫖↰⪸-238=⫖↰⪸-11A928","layer":0}]}
{"id":492,"expression_no_base_symbol":"((↓⇌$2271$)⨲∙)⋻⩜⩜(⇵⪽($5103$≃$2653$))∙∹∝((∷≠$3133$)⪭≯$1049$⊔$2108$⫃⨇$1935$+⇶⊼$1882$⪨⊡(⋠∜$5961$))","expression":"((↓⇌⫖↰⪸1393)⨲∙)⋻⩜⩜(⇵⪽(⫖↰⪸2B53≃⫖↰⪸1651))∙∹∝((∷≠⫖↰⪸1991)⪭≯⫖↰⪸735⊔⫖↰⪸1278⫃⨇⫖↰⪸1153+⇶⊼⫖↰⪸110A⪨⊡(⋠∜⫖↰⪸3549))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":735,"operation_count":13,"complexity_ratio":56.53846153846154,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2271,"base":12}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5103,"base":12},"right_expr":{"type":"numeric_atoms","value":2653,"base":12}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":3133,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1049,"base":12},"right_expr":{"type":"numeric_atoms","value":2108,"base":12}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1935,"base":12},"right_expr":{"type":"numeric_atoms","value":1882,"base":12}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":5961,"base":12}}}}},"used_operators":["HmxsFra2vL","oDCm7WA9JY","cRahaglYVE","PxpmPgHHJV","ZGCBLdVRRX","YbVcJGFEVW","09Ly4LVMIf","XAx5wpdLa6","QiR2Oyf5Xj","E4l6HwMY31","kuIXHzHcAH","TpPTUOHfaN","ZJpFhNJr3x"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","U7g4x0WXJJ","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","7j4O788W3g","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","AHs5Up7iyr","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2271","layer":4},{"info":"compute unary expreesion, input=2271, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2271","layer":3},{"info":"compute unary expreesion, input=2271, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=28840410","layer":2},{"info":"number node, value=5103","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=5103, right_input=2653, 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=-20452","layer":3},{"info":"compute unary expreesion, input=-20452, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=28840410, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=57680820","layer":1},{"info":"number node, value=3133","layer":4},{"info":"compute unary expreesion, input=3133, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3133","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=2108, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10238","layer":3},{"info":"compute binary expreesion, left_input=3133, right_input=10238, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1935","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1882, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5961","layer":4},{"info":"compute unary expreesion, input=5961, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=26128","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=26128, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=57680820, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((↓⇌⫖↰⪸1393)⨲∙)⋻⩜⩜(⇵⪽(⫖↰⪸2B53≃⫖↰⪸1651))∙∹∝((∷≠⫖↰⪸1991)⪭≯⫖↰⪸735⊔⫖↰⪸1278⫃⨇⫖↰⪸1153+⇶⊼⫖↰⪸110A⪨⊡(⋠∜⫖↰⪸3549))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((↓⇌⫖↰⪸1393)⨲∙)⋻⩜⩜(⇵⪽(⫖↰⪸2B53≃⫖↰⪸1651))∙∹∝((∷≠⫖↰⪸1991)⪭≯⫖↰⪸735⊔⫖↰⪸1278⫃⨇⫖↰⪸1153+⇶⊼⫖↰⪸110A⪨⊡(⋠∜⫖↰⪸3549))","cot":[{"info":"↓⇌⫖↰⪸1393=⫖↰⪸1393","layer":3},{"info":"⫖↰⪸1393⨲∙=⫖↰⪸97AA076","layer":2},{"info":"⫖↰⪸2B53≃⫖↰⪸1651=⫖↰⪸-BA04","layer":3},{"info":"⇵⪽⫖↰⪸-BA04=NaN","layer":2},{"info":"⫖↰⪸97AA076⋻⩜⩜NaN=⫖↰⪸17398130","layer":1},{"info":"∷≠⫖↰⪸1991=⫖↰⪸1991","layer":3},{"info":"⫖↰⪸735⊔⫖↰⪸1278=⫖↰⪸5B12","layer":3},{"info":"⫖↰⪸1991⪭≯⫖↰⪸5B12=NaN","layer":2},{"info":"⫖↰⪸1153+⇶⊼⫖↰⪸110A=NaN","layer":3},{"info":"⋠∜⫖↰⪸3549=⫖↰⪸13154","layer":3},{"info":"NaN⪨⊡⫖↰⪸13154=NaN","layer":2},{"info":"NaN⫃⨇NaN=NaN","layer":1},{"info":"⫖↰⪸17398130∙∹∝NaN=⫖↰⪸0","layer":0}]}
{"id":493,"expression_no_base_symbol":"↨⩢⫨((⩩$2496$)⨽($1986$∛≔)⫳≱↱(≑⋹($1268$⫦⪉$2131$)))","expression":"↨⩢⫨((⩩⫖↰⪸1540)⨽(⫖↰⪸1196∛≔)⫳≱↱(≑⋹(⫖↰⪸898⫦⪉⫖↰⪸1297)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13385,"operation_count":7,"complexity_ratio":1912.142857142857,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2496,"base":12}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1986,"base":12}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1268,"base":12},"right_expr":{"type":"numeric_atoms","value":2131,"base":12}}}}},"used_operators":["Z5CJsN7DuW","ZvLB05nZmT","8HhzD0ZcuI","kMhfGuqI2H","mGnSCrte3L","6B9nyZLogK","wscyQdcy20"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2496","layer":4},{"info":"compute unary expreesion, input=2496, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1986","layer":4},{"info":"compute unary expreesion, input=1986, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-560462285","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-560462285, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1268","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=2131, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2364","layer":3},{"info":"compute unary expreesion, input=2364, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":12,"result_base":12,"text":"↨⩢⫨((⩩⫖↰⪸1540)⨽(⫖↰⪸1196∛≔)⫳≱↱(≑⋹(⫖↰⪸898⫦⪉⫖↰⪸1297)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=↨⩢⫨((⩩⫖↰⪸1540)⨽(⫖↰⪸1196∛≔)⫳≱↱(≑⋹(⫖↰⪸898⫦⪉⫖↰⪸1297)))","cot":[{"info":"⩩⫖↰⪸1540=NaN","layer":3},{"info":"⫖↰⪸1196∛≔=⫖↰⪸-137845725","layer":3},{"info":"NaN⨽⫖↰⪸-137845725=NaN","layer":2},{"info":"⫖↰⪸898⫦⪉⫖↰⪸1297=⫖↰⪸1450","layer":3},{"info":"≑⋹⫖↰⪸1450=⫖↰⪸B56","layer":2},{"info":"NaN⫳≱↱⫖↰⪸B56=NaN","layer":1},{"info":"↨⩢⫨NaN=⫖↰⪸0","layer":0}]}
{"id":494,"expression_no_base_symbol":"($1042$↹⊜$2833$⊾⪯⋞$1875$≦↸$2321$⫌⩉⩟(⫛⫱⨽$4005$)⫃⨇(≱⇩⩕$1796$))⩱","expression":"(⫖↰⪸72A↹⊜⫖↰⪸1781⊾⪯⋞⫖↰⪸1103≦↸⫖↰⪸1415⫌⩉⩟(⫛⫱⨽⫖↰⪸2399)⫃⨇(≱⇩⩕⫖↰⪸1058))⩱","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":242519,"operation_count":8,"complexity_ratio":30314.875,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1042,"base":12},"right_expr":{"type":"numeric_atoms","value":2833,"base":12}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1875,"base":12},"right_expr":{"type":"numeric_atoms","value":2321,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4005,"base":12}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1796,"base":12}}}}},"used_operators":["uyq1hVkAcj","XIIwhv8d0m","HK0tfVPux8","9bazX3JMtO","RygbFNSyEJ","09Ly4LVMIf","DlLNRPXxWL","3DZMoQKiUl"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rGHVDoGpnC","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"⫖↰⪸42","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=2833, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-9344","layer":3},{"info":"number node, value=1875","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=2321, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7711","layer":3},{"info":"compute binary expreesion, left_input=-9344, right_input=-7711, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=4005","layer":4},{"info":"compute unary expreesion, input=4005, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1796","layer":4},{"info":"compute unary expreesion, input=1796, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=-484, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=50","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸72A↹⊜⫖↰⪸1781⊾⪯⋞⫖↰⪸1103≦↸⫖↰⪸1415⫌⩉⩟(⫛⫱⨽⫖↰⪸2399)⫃⨇(≱⇩⩕⫖↰⪸1058))⩱=⫖↰⪸42","reverse_text":"⫖↰⪸42=(⫖↰⪸72A↹⊜⫖↰⪸1781⊾⪯⋞⫖↰⪸1103≦↸⫖↰⪸1415⫌⩉⩟(⫛⫱⨽⫖↰⪸2399)⫃⨇(≱⇩⩕⫖↰⪸1058))⩱","cot":[{"info":"⫖↰⪸72A↹⊜⫖↰⪸1781=⫖↰⪸-54A8","layer":3},{"info":"⫖↰⪸1103≦↸⫖↰⪸1415=⫖↰⪸-4567","layer":3},{"info":"⫖↰⪸-54A8⊾⪯⋞⫖↰⪸-4567=⫖↰⪸-584","layer":2},{"info":"⫛⫱⨽⫖↰⪸2399=⫖↰⪸0","layer":3},{"info":"≱⇩⩕⫖↰⪸1058=⫖↰⪸95","layer":3},{"info":"⫖↰⪸0⫃⨇⫖↰⪸95=⫖↰⪸-344","layer":2},{"info":"⫖↰⪸-584⫌⩉⩟⫖↰⪸-344=⫖↰⪸-42","layer":1},{"info":"⫖↰⪸-42⩱=⫖↰⪸42","layer":0}]}
{"id":495,"expression_no_base_symbol":"(($1607$%$2321$)≒∊$3600$≎⪠$3083$≥⨤⩑$1295$⫁$2223$⩧⪆($1234$-$7313$))⩣⫁∢(($2837$≎⪠$1001$⋻⩜⩜($4150$⫳≱↱$1553$))≹⇙⪍($3863$↫)⫘($4347$↡⊰⫅$2001$))","expression":"((⫖↰⪸B1B%⫖↰⪸1415)≒∊⫖↰⪸2100≎⪠⫖↰⪸194B≥⨤⩑⫖↰⪸8BB⫁⫖↰⪸1353⩧⪆(⫖↰⪸86A-⫖↰⪸4295))⩣⫁∢((⫖↰⪸1785≎⪠⫖↰⪸6B5⋻⩜⩜(⫖↰⪸249A⫳≱↱⫖↰⪸A95))≹⇙⪍(⫖↰⪸229B↫)⫘(⫖↰⪸2623↡⊰⫅⫖↰⪸11A9))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":69933,"operation_count":15,"complexity_ratio":4662.2,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1607,"base":12},"right_expr":{"type":"numeric_atoms","value":2321,"base":12}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3600,"base":12},"right_expr":{"type":"numeric_atoms","value":3083,"base":12}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1295,"base":12},"right_expr":{"type":"numeric_atoms","value":2223,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1234,"base":12},"right_expr":{"type":"numeric_atoms","value":7313,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2837,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4150,"base":12},"right_expr":{"type":"numeric_atoms","value":1553,"base":12}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":3863,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4347,"base":12},"right_expr":{"type":"numeric_atoms","value":2001,"base":12}}}}},"used_operators":["JDUIKTTSIa","gJLn6v0xnP","5KTvxBwnZo","k8jYdgA6NY","aNhz54LH3e","Ikt5ks8PT7","0ajvFaJAv0","rysDP5nf3Z","AHs5Up7iyr","oDCm7WA9JY","ZvLB05nZmT","48vC8HMD2b","uPb5QRN0te","VCtxkLNOzz"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eewbuw0ToL","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1607","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=2321, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1607","layer":3},{"info":"number node, value=3600","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=3083, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=1607, right_input=19558, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1123","layer":2},{"info":"number node, value=1295","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2223, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=7313","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=7313, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6079","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-6079, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=6079","layer":2},{"info":"compute binary expreesion, left_input=-1123, right_input=6079, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2837","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=1001, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=4150","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=4150, right_input=1553, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-204, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=39116","layer":2},{"info":"number node, value=3863","layer":4},{"info":"compute unary expreesion, input=3863, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=4347","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=2001, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4002","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4002, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=196181","layer":2},{"info":"compute binary expreesion, left_input=39116, right_input=196181, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1234, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B1B%⫖↰⪸1415)≒∊⫖↰⪸2100≎⪠⫖↰⪸194B≥⨤⩑⫖↰⪸8BB⫁⫖↰⪸1353⩧⪆(⫖↰⪸86A-⫖↰⪸4295))⩣⫁∢((⫖↰⪸1785≎⪠⫖↰⪸6B5⋻⩜⩜(⫖↰⪸249A⫳≱↱⫖↰⪸A95))≹⇙⪍(⫖↰⪸229B↫)⫘(⫖↰⪸2623↡⊰⫅⫖↰⪸11A9))=NaN","reverse_text":"NaN=((⫖↰⪸B1B%⫖↰⪸1415)≒∊⫖↰⪸2100≎⪠⫖↰⪸194B≥⨤⩑⫖↰⪸8BB⫁⫖↰⪸1353⩧⪆(⫖↰⪸86A-⫖↰⪸4295))⩣⫁∢((⫖↰⪸1785≎⪠⫖↰⪸6B5⋻⩜⩜(⫖↰⪸249A⫳≱↱⫖↰⪸A95))≹⇙⪍(⫖↰⪸229B↫)⫘(⫖↰⪸2623↡⊰⫅⫖↰⪸11A9))","cot":[{"info":"⫖↰⪸B1B%⫖↰⪸1415=⫖↰⪸B1B","layer":3},{"info":"⫖↰⪸2100≎⪠⫖↰⪸194B=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸B1B≒∊⫖↰⪸B39A=⫖↰⪸-797","layer":2},{"info":"⫖↰⪸8BB⫁⫖↰⪸1353=⫖↰⪸114","layer":3},{"info":"⫖↰⪸86A-⫖↰⪸4295=⫖↰⪸-3627","layer":3},{"info":"⫖↰⪸114⩧⪆⫖↰⪸-3627=⫖↰⪸3627","layer":2},{"info":"⫖↰⪸-797≥⨤⩑⫖↰⪸3627=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸1785≎⪠⫖↰⪸6B5=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸249A⫳≱↱⫖↰⪸A95=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸B39A⋻⩜⩜⫖↰⪸-150=⫖↰⪸1A778","layer":2},{"info":"⫖↰⪸229B↫=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2623↡⊰⫅⫖↰⪸11A9=⫖↰⪸2396","layer":3},{"info":"⫖↰⪸114⫘⫖↰⪸2396=⫖↰⪸95645","layer":2},{"info":"⫖↰⪸1A778≹⇙⪍⫖↰⪸95645=NaN","layer":1},{"info":"⫖↰⪸86A⩣⫁∢NaN=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"($2166$⫻⋑⊟)∊∟⩊($4989$⇌⫙⪟$1122$)↬(($5589$↓⨍⋜)⫸⇳($5498$⇼⇔∾$1776$))⨓((⊁⨺($5464$⪨⊡$1087$))⨒($4089$⊬⨰$2635$⩘))","expression":"(⫖↰⪸1306⫻⋑⊟)∊∟⩊(⫖↰⪸2A79⇌⫙⪟⫖↰⪸796)↬((⫖↰⪸3299↓⨍⋜)⫸⇳(⫖↰⪸3222⇼⇔∾⫖↰⪸1040))⨓((⊁⨺(⫖↰⪸31B4⪨⊡⫖↰⪸767))⨒(⫖↰⪸2449⊬⨰⫖↰⪸1637⩘))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":490,"operation_count":13,"complexity_ratio":37.69230769230769,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2166,"base":12}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4989,"base":12},"right_expr":{"type":"numeric_atoms","value":1122,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":5589,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5498,"base":12},"right_expr":{"type":"numeric_atoms","value":1776,"base":12}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5464,"base":12},"right_expr":{"type":"numeric_atoms","value":1087,"base":12}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4089,"base":12},"right_expr":{"type":"numeric_atoms","value":2635,"base":12}}}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","ddLRYrp01A","o575Zjdmzy","AFVx7xoS7T","gx7XJ7hdpj","3DVzLFNsE9","tifHPKVTfV","y75s1iXyHd","PxiHyQbrIp","kuIXHzHcAH","wvHyciQT5X","s3Fd5m9Dh2"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9ICcGScMcE","dfKe02y8D2","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2166","layer":4},{"info":"compute unary expreesion, input=2166, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3822","layer":3},{"info":"number node, value=4989","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=1122, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-3822, right_input=113, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3","layer":2},{"info":"number node, value=5589","layer":4},{"info":"compute unary expreesion, input=5589, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=5498","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=5498, right_input=1776, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3722","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=-3722, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=0","layer":1},{"info":"number node, value=5464","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=5464, right_input=1087, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1845","layer":2},{"info":"number node, value=4089","layer":4},{"info":"number node, value=2635","layer":4},{"info":"compute binary expreesion, left_input=4089, right_input=2635, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13573","layer":3},{"info":"compute unary expreesion, input=13573, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=1845, right_input=67, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1306⫻⋑⊟)∊∟⩊(⫖↰⪸2A79⇌⫙⪟⫖↰⪸796)↬((⫖↰⪸3299↓⨍⋜)⫸⇳(⫖↰⪸3222⇼⇔∾⫖↰⪸1040))⨓((⊁⨺(⫖↰⪸31B4⪨⊡⫖↰⪸767))⨒(⫖↰⪸2449⊬⨰⫖↰⪸1637⩘))=NaN","reverse_text":"NaN=(⫖↰⪸1306⫻⋑⊟)∊∟⩊(⫖↰⪸2A79⇌⫙⪟⫖↰⪸796)↬((⫖↰⪸3299↓⨍⋜)⫸⇳(⫖↰⪸3222⇼⇔∾⫖↰⪸1040))⨓((⊁⨺(⫖↰⪸31B4⪨⊡⫖↰⪸767))⨒(⫖↰⪸2449⊬⨰⫖↰⪸1637⩘))","cot":[{"info":"⫖↰⪸1306⫻⋑⊟=⫖↰⪸-2266","layer":3},{"info":"⫖↰⪸2A79⇌⫙⪟⫖↰⪸796=⫖↰⪸95","layer":3},{"info":"⫖↰⪸-2266∊∟⩊⫖↰⪸95=⫖↰⪸3","layer":2},{"info":"⫖↰⪸3299↓⨍⋜=⫖↰⪸3992","layer":3},{"info":"⫖↰⪸3222⇼⇔∾⫖↰⪸1040=⫖↰⪸-21A2","layer":3},{"info":"⫖↰⪸3992⫸⇳⫖↰⪸-21A2=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3↬⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸31B4⪨⊡⫖↰⪸767=⫖↰⪸0","layer":3},{"info":"⊁⨺⫖↰⪸0=⫖↰⪸1099","layer":2},{"info":"⫖↰⪸2449⊬⨰⫖↰⪸1637=⫖↰⪸7A31","layer":3},{"info":"⫖↰⪸7A31⩘=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1099⨒⫖↰⪸57=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⨓⫖↰⪸0=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"(≻⋜(⪁⇼$5389$))⫘(($2440$⩒⫫$4792$)∼($8138$⨪↰⇹$1502$))⊲⩕⊾((⋠∜($3717$⫢⨠$3248$))↙(⊄⩳↩(↑$2846$)))","expression":"(≻⋜(⪁⇼⫖↰⪸3151))⫘((⫖↰⪸14B4⩒⫫⫖↰⪸2934)∼(⫖↰⪸4862⨪↰⇹⫖↰⪸A52))⊲⩕⊾((⋠∜(⫖↰⪸2199⫢⨠⫖↰⪸1A68))↙(⊄⩳↩(↑⫖↰⪸1792)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10559,"operation_count":12,"complexity_ratio":879.9166666666666,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":5389,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2440,"base":12},"right_expr":{"type":"numeric_atoms","value":4792,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8138,"base":12},"right_expr":{"type":"numeric_atoms","value":1502,"base":12}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3717,"base":12},"right_expr":{"type":"numeric_atoms","value":3248,"base":12}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2846,"base":12}}}}},"used_operators":["DmTXOeWf9t","48vC8HMD2b","3tj9sqzovi","ZNVVrZ94lY","DyGG3AbaNP","KFSx94NKJn","tmPS8pqC7x","yyfyN0ffXY","ZJpFhNJr3x","xlXykHWxX1","8w2t5hMYqp","tR7O2zTn5j"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5389","layer":4},{"info":"compute unary expreesion, input=5389, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=2440","layer":4},{"info":"number node, value=4792","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=4792, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2138","layer":3},{"info":"number node, value=8138","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=8138, right_input=1502, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8138","layer":3},{"info":"compute binary expreesion, left_input=2138, right_input=8138, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"number node, value=3717","layer":4},{"info":"number node, value=3248","layer":4},{"info":"compute binary expreesion, left_input=3717, right_input=3248, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2924","layer":2},{"info":"number node, value=2846","layer":4},{"info":"compute unary expreesion, input=2846, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-576","layer":2},{"info":"compute binary expreesion, left_input=2924, right_input=-576, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=1728","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1728, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≻⋜(⪁⇼⫖↰⪸3151))⫘((⫖↰⪸14B4⩒⫫⫖↰⪸2934)∼(⫖↰⪸4862⨪↰⇹⫖↰⪸A52))⊲⩕⊾((⋠∜(⫖↰⪸2199⫢⨠⫖↰⪸1A68))↙(⊄⩳↩(↑⫖↰⪸1792)))=NaN","reverse_text":"NaN=(≻⋜(⪁⇼⫖↰⪸3151))⫘((⫖↰⪸14B4⩒⫫⫖↰⪸2934)∼(⫖↰⪸4862⨪↰⇹⫖↰⪸A52))⊲⩕⊾((⋠∜(⫖↰⪸2199⫢⨠⫖↰⪸1A68))↙(⊄⩳↩(↑⫖↰⪸1792)))","cot":[{"info":"⪁⇼⫖↰⪸3151=⫖↰⪸2B2","layer":3},{"info":"≻⋜⫖↰⪸2B2=NaN","layer":2},{"info":"⫖↰⪸14B4⩒⫫⫖↰⪸2934=⫖↰⪸12A2","layer":3},{"info":"⫖↰⪸4862⨪↰⇹⫖↰⪸A52=⫖↰⪸4862","layer":3},{"info":"⫖↰⪸12A2∼⫖↰⪸4862=NaN","layer":2},{"info":"NaN⫘NaN=NaN","layer":1},{"info":"⫖↰⪸2199⫢⨠⫖↰⪸1A68=⫖↰⪸114","layer":3},{"info":"⋠∜⫖↰⪸114=⫖↰⪸1838","layer":2},{"info":"↑⫖↰⪸1792=⫖↰⪸140","layer":3},{"info":"⊄⩳↩⫖↰⪸140=⫖↰⪸-400","layer":2},{"info":"⫖↰⪸1838↙⫖↰⪸-400=⫖↰⪸1000","layer":1},{"info":"NaN⊲⩕⊾⫖↰⪸1000=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"⫛⫱⨽(⨑⩽⪐$2943$⪬$1249$⇂≾⫗($1001$∣$5705$))","expression":"⫛⫱⨽(⨑⩽⪐⫖↰⪸1853⪬⫖↰⪸881⇂≾⫗(⫖↰⪸6B5∣⫖↰⪸3375))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2057,"operation_count":5,"complexity_ratio":411.4,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2943,"base":12},"right_expr":{"type":"numeric_atoms","value":1249,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":5705,"base":12}}}}},"used_operators":["DlLNRPXxWL","AF7qkfDlqP","aBQ6xLxuTc","Ez1Nq5fNfI","PPChnnnBFF"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=1249, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=5705","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5705, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1001","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1001, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=2141","layer":1},{"info":"compute unary expreesion, input=2141, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽(⨑⩽⪐⫖↰⪸1853⪬⫖↰⪸881⇂≾⫗(⫖↰⪸6B5∣⫖↰⪸3375))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽(⨑⩽⪐⫖↰⪸1853⪬⫖↰⪸881⇂≾⫗(⫖↰⪸6B5∣⫖↰⪸3375))","cot":[{"info":"⫖↰⪸1853⪬⫖↰⪸881=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸6B5∣⫖↰⪸3375=⫖↰⪸6B5","layer":3},{"info":"⫖↰⪸86A⇂≾⫗⫖↰⪸6B5=⫖↰⪸-484","layer":2},{"info":"⨑⩽⪐⫖↰⪸-484=⫖↰⪸12A5","layer":1},{"info":"⫛⫱⨽⫖↰⪸12A5=⫖↰⪸0","layer":0}]}
{"id":499,"expression_no_base_symbol":"(⪹$1224$⊮⊟↴$3821$)⩦($2550$→⨶⪴$2337$⫚↹⊑(⊤⊝$1565$))⇼⇔∾(($1390$≨$5520$)≁($1198$⋅⇍$1761$))≎⪠(⊙↵-$2121$)⪬($1294$+⪬∐$6703$)","expression":"(⪹⫖↰⪸860⊮⊟↴⫖↰⪸2265)⩦(⫖↰⪸1586→⨶⪴⫖↰⪸1429⫚↹⊑(⊤⊝⫖↰⪸AA5))⇼⇔∾((⫖↰⪸97A≨⫖↰⪸3240)≁(⫖↰⪸83A⋅⇍⫖↰⪸1029))≎⪠(⊙↵-⫖↰⪸1289)⪬(⫖↰⪸8BA+⪬∐⫖↰⪸3A67)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":22085,"operation_count":14,"complexity_ratio":1577.5,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1224,"base":12},"right_expr":{"type":"numeric_atoms","value":3821,"base":12}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2550,"base":12},"right_expr":{"type":"numeric_atoms","value":2337,"base":12}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1565,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1390,"base":12},"right_expr":{"type":"numeric_atoms","value":5520,"base":12}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1198,"base":12},"right_expr":{"type":"numeric_atoms","value":1761,"base":12}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2121,"base":12}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1294,"base":12},"right_expr":{"type":"numeric_atoms","value":6703,"base":12}}}}},"used_operators":["tifHPKVTfV","0kmYd0q39Y","USyYr0JgAa","QDVgd2eftb","dfKe02y8D2","bF6eod5Gvf","rXAclfmB4M","aNhz54LH3e","8N2wDY1A35","0KMCeP1Jsh","AdZkA7nFnk","Ez1Nq5fNfI","oWn0xqSxBt","2GS7woTJqF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","tifHPKVTfV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","8w2t5hMYqp","9FxExcQeMw","sdazOOVcIp","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","g55IO6H4Gj","D4vGDi5EA2"],"result":"⫖↰⪸B13A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=3821, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=180","layer":2},{"info":"number node, value=2550","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=2337, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7011","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1832","layer":3},{"info":"compute binary expreesion, left_input=-7011, right_input=1832, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=180, right_input=-447, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=360","layer":1},{"info":"number node, value=1390","layer":4},{"info":"number node, value=5520","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=5520, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-11424","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1761, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-11424, right_input=-22, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-10605","layer":2},{"info":"number node, value=2121","layer":4},{"info":"compute unary expreesion, input=2121, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1294","layer":4},{"info":"number node, value=6703","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=6703, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3882","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-3882, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-10605, right_input=1234, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=360, right_input=19558, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=19198","layer":0}],"base":12,"result_base":12,"text":"(⪹⫖↰⪸860⊮⊟↴⫖↰⪸2265)⩦(⫖↰⪸1586→⨶⪴⫖↰⪸1429⫚↹⊑(⊤⊝⫖↰⪸AA5))⇼⇔∾((⫖↰⪸97A≨⫖↰⪸3240)≁(⫖↰⪸83A⋅⇍⫖↰⪸1029))≎⪠(⊙↵-⫖↰⪸1289)⪬(⫖↰⪸8BA+⪬∐⫖↰⪸3A67)=⫖↰⪸B13A","reverse_text":"⫖↰⪸B13A=(⪹⫖↰⪸860⊮⊟↴⫖↰⪸2265)⩦(⫖↰⪸1586→⨶⪴⫖↰⪸1429⫚↹⊑(⊤⊝⫖↰⪸AA5))⇼⇔∾((⫖↰⪸97A≨⫖↰⪸3240)≁(⫖↰⪸83A⋅⇍⫖↰⪸1029))≎⪠(⊙↵-⫖↰⪸1289)⪬(⫖↰⪸8BA+⪬∐⫖↰⪸3A67)","cot":[{"info":"⫖↰⪸860⊮⊟↴⫖↰⪸2265=⫖↰⪸0","layer":3},{"info":"⪹⫖↰⪸0=⫖↰⪸130","layer":2},{"info":"⫖↰⪸1586→⨶⪴⫖↰⪸1429=⫖↰⪸-4083","layer":3},{"info":"⊤⊝⫖↰⪸AA5=⫖↰⪸1088","layer":3},{"info":"⫖↰⪸-4083⫚↹⊑⫖↰⪸1088=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸130⩦⫖↰⪸-313=⫖↰⪸260","layer":1},{"info":"⫖↰⪸97A≨⫖↰⪸3240=⫖↰⪸-6740","layer":3},{"info":"⫖↰⪸83A⋅⇍⫖↰⪸1029=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸-6740≁⫖↰⪸-1A=⫖↰⪸-6179","layer":2},{"info":"⊙↵-⫖↰⪸1289=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸8BA+⪬∐⫖↰⪸3A67=⫖↰⪸-22B6","layer":3},{"info":"⫖↰⪸-1⪬⫖↰⪸-22B6=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸-6179≎⪠⫖↰⪸86A=⫖↰⪸B39A","layer":1},{"info":"⫖↰⪸260⇼⇔∾⫖↰⪸B39A=⫖↰⪸B13A","layer":0}]}
{"id":500,"expression_no_base_symbol":"(($1852$⫌⩉⩟$5416$)⨚($4243$⩘$1008$))⋹⋡⊁(($1533$⇉⇱⇎)∲⫓$3458$⨑≵⋬$2329$)⪁(≅≯⇸($3353$⪚⩙≫))%($2309$⩹$3092$)↞⋁($1565$/$5019$)","expression":"((⫖↰⪸10A4⫌⩉⩟⫖↰⪸3174)⨚(⫖↰⪸2557⩘⫖↰⪸700))⋹⋡⊁((⫖↰⪸A79⇉⇱⇎)∲⫓⫖↰⪸2002⨑≵⋬⫖↰⪸1421)⪁(≅≯⇸(⫖↰⪸1B35⪚⩙≫))%(⫖↰⪸1405⩹⫖↰⪸1958)↞⋁(⫖↰⪸AA5/⫖↰⪸2AA3)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45184,"operation_count":14,"complexity_ratio":3227.4285714285716,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":5416,"base":12}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4243,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1533,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3458,"base":12},"right_expr":{"type":"numeric_atoms","value":2329,"base":12}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":3353,"base":12}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2309,"base":12},"right_expr":{"type":"numeric_atoms","value":3092,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1565,"base":12},"right_expr":{"type":"numeric_atoms","value":5019,"base":12}}}}},"used_operators":["I7sXao9hZE","As8RqfVLgs","nREPSIbpBE","XIIwhv8d0m","cHh1gJQ2o6","i8ToyICDmI","MRPaB8lBjK","XnXgA4xnOs","k8jYdgA6NY","apS25hmuAe","4n53wtyJvv","RqrPlJkxDo","2Wsdkap16l","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","BjRHVeLaeN","12rbrZMWeM","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","EBcxylXtPf","QMFrweE19q","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1852","layer":4},{"info":"number node, value=5416","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=5416, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=4243","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=4243, right_input=1008, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=160, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=194","layer":2},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1315","layer":3},{"info":"number node, value=3458","layer":4},{"info":"number node, value=2329","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=2329, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2366","layer":3},{"info":"compute binary expreesion, left_input=-1315, right_input=2366, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=194, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=12423","layer":1},{"info":"number node, value=3353","layer":4},{"info":"compute unary expreesion, input=3353, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":2},{"info":"number node, value=2309","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=3092, 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=3090","layer":3},{"info":"number node, value=1565","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=1565, right_input=5019, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=3090, right_input=0, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12423, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸10A4⫌⩉⩟⫖↰⪸3174)⨚(⫖↰⪸2557⩘⫖↰⪸700))⋹⋡⊁((⫖↰⪸A79⇉⇱⇎)∲⫓⫖↰⪸2002⨑≵⋬⫖↰⪸1421)⪁(≅≯⇸(⫖↰⪸1B35⪚⩙≫))%(⫖↰⪸1405⩹⫖↰⪸1958)↞⋁(⫖↰⪸AA5/⫖↰⪸2AA3)=NaN","reverse_text":"NaN=((⫖↰⪸10A4⫌⩉⩟⫖↰⪸3174)⨚(⫖↰⪸2557⩘⫖↰⪸700))⋹⋡⊁((⫖↰⪸A79⇉⇱⇎)∲⫓⫖↰⪸2002⨑≵⋬⫖↰⪸1421)⪁(≅≯⇸(⫖↰⪸1B35⪚⩙≫))%(⫖↰⪸1405⩹⫖↰⪸1958)↞⋁(⫖↰⪸AA5/⫖↰⪸2AA3)","cot":[{"info":"⫖↰⪸10A4⫌⩉⩟⫖↰⪸3174=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸2557⩘⫖↰⪸700=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-42⨚⫖↰⪸114=⫖↰⪸142","layer":2},{"info":"⫖↰⪸A79⇉⇱⇎=⫖↰⪸-917","layer":3},{"info":"⫖↰⪸2002⨑≵⋬⫖↰⪸1421=⫖↰⪸1452","layer":3},{"info":"⫖↰⪸-917∲⫓⫖↰⪸1452=⫖↰⪸0","layer":2},{"info":"⫖↰⪸142⋹⋡⊁⫖↰⪸0=⫖↰⪸7233","layer":1},{"info":"⫖↰⪸1B35⪚⩙≫=NaN","layer":3},{"info":"≅≯⇸NaN=NaN","layer":2},{"info":"⫖↰⪸1405⩹⫖↰⪸1958=⫖↰⪸1956","layer":3},{"info":"⫖↰⪸AA5/⫖↰⪸2AA3=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1956↞⋁⫖↰⪸0=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⫖↰⪸7233⪁NaN=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"((($1024$∺≝⩲$1008$)⋐⇩⊬)⨘⋶⪀)↪⪝","expression":"(((⫖↰⪸714∺≝⩲⫖↰⪸700)⋐⇩⊬)⨘⋶⪀)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":98,"operation_count":4,"complexity_ratio":24.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}}}}},"used_operators":["l07mrZUIn9","XVKwrhznBb","JuuLT1NoCs","KPf6cnQVty"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=1008, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸714∺≝⩲⫖↰⪸700)⋐⇩⊬)⨘⋶⪀)↪⪝=NaN","reverse_text":"NaN=(((⫖↰⪸714∺≝⩲⫖↰⪸700)⋐⇩⊬)⨘⋶⪀)↪⪝","cot":[{"info":"⫖↰⪸714∺≝⩲⫖↰⪸700=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⋐⇩⊬=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⨘⋶⪀=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"⨈⫕(($1637$⫲)⩺⪪$4028$⫲≸⪮$1481$)⫉⨲⊜((∷≠$1373$)≥⨤⩑$2268$≃$1664$)","expression":"⨈⫕((⫖↰⪸B45⫲)⩺⪪⫖↰⪸23B8⫲≸⪮⫖↰⪸A35)⫉⨲⊜((∷≠⫖↰⪸965)≥⨤⩑⫖↰⪸1390≃⫖↰⪸B68)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":137642,"operation_count":8,"complexity_ratio":17205.25,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1637,"base":12}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4028,"base":12},"right_expr":{"type":"numeric_atoms","value":1481,"base":12}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1373,"base":12}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2268,"base":12},"right_expr":{"type":"numeric_atoms","value":1664,"base":12}}}}},"used_operators":["megm06wKyl","WhqkvtTD3t","uvdQJvN4PV","9xnGDUPbC6","P3lXMJvFrc","gJLn6v0xnP","QiR2Oyf5Xj","YbVcJGFEVW"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eewbuw0ToL","zVYPLywUTj","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1364","layer":3},{"info":"number node, value=4028","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=1481, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4028","layer":3},{"info":"compute binary expreesion, left_input=1364, right_input=4028, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1373","layer":3},{"info":"number node, value=2268","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=2268, right_input=1664, 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=-9112","layer":3},{"info":"compute binary expreesion, left_input=1373, right_input=-9112, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=2746","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=2746, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=33262550","layer":1},{"info":"compute unary expreesion, input=33262550, 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":12,"result_base":12,"text":"⨈⫕((⫖↰⪸B45⫲)⩺⪪⫖↰⪸23B8⫲≸⪮⫖↰⪸A35)⫉⨲⊜((∷≠⫖↰⪸965)≥⨤⩑⫖↰⪸1390≃⫖↰⪸B68)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕((⫖↰⪸B45⫲)⩺⪪⫖↰⪸23B8⫲≸⪮⫖↰⪸A35)⫉⨲⊜((∷≠⫖↰⪸965)≥⨤⩑⫖↰⪸1390≃⫖↰⪸B68)","cot":[{"info":"⫖↰⪸B45⫲=⫖↰⪸958","layer":3},{"info":"⫖↰⪸23B8⫲≸⪮⫖↰⪸A35=⫖↰⪸23B8","layer":3},{"info":"⫖↰⪸958⩺⪪⫖↰⪸23B8=⫖↰⪸-1076","layer":2},{"info":"∷≠⫖↰⪸965=⫖↰⪸965","layer":3},{"info":"⫖↰⪸1390≃⫖↰⪸B68=⫖↰⪸-5334","layer":3},{"info":"⫖↰⪸965≥⨤⩑⫖↰⪸-5334=⫖↰⪸170A","layer":2},{"info":"⫖↰⪸-1076⫉⨲⊜⫖↰⪸170A=⫖↰⪸B1811B2","layer":1},{"info":"⨈⫕⫖↰⪸B1811B2=⫖↰⪸-19","layer":0}]}
{"id":503,"expression_no_base_symbol":"(⪝⪂⫅(≯($3449$⊭↱$1976$)))↫","expression":"(⪝⪂⫅(≯(⫖↰⪸1BB5⊭↱⫖↰⪸1188)))↫","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":20,"operation_count":4,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3449,"base":12},"right_expr":{"type":"numeric_atoms","value":1976,"base":12}}}}},"used_operators":["uPb5QRN0te","XTarYq4gQB","keWfFq85dY","COABgblf1C"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","g55IO6H4Gj","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3449","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=3449, right_input=1976, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2941","layer":3},{"info":"compute unary expreesion, input=-2941, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⪝⪂⫅(≯(⫖↰⪸1BB5⊭↱⫖↰⪸1188)))↫=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⪝⪂⫅(≯(⫖↰⪸1BB5⊭↱⫖↰⪸1188)))↫","cot":[{"info":"⫖↰⪸1BB5⊭↱⫖↰⪸1188=⫖↰⪸-1851","layer":3},{"info":"≯⫖↰⪸-1851=⫖↰⪸0","layer":2},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0↫=⫖↰⪸114","layer":0}]}
{"id":504,"expression_no_base_symbol":"⊖((⇾⩊⇾$1634$)⇩)⊕∕($3445$⊨$6152$-($4077$⪘⨀))","expression":"⊖((⇾⩊⇾⫖↰⪸B42)⇩)⊕∕(⫖↰⪸1BB1⊨⫖↰⪸3688-(⫖↰⪸2439⪘⨀))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59,"operation_count":7,"complexity_ratio":8.428571428571429,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1634,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3445,"base":12},"right_expr":{"type":"numeric_atoms","value":6152,"base":12}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":4077,"base":12}}}}},"used_operators":["U6pG0PXrV3","9cloC0Ngie","vRio1gEz1j","bx9Z9DAK5y","rysDP5nf3Z","vg4gO5BX6G","aA7tF3KVD3"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"⫖↰⪸30769","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1634","layer":4},{"info":"compute unary expreesion, input=1634, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-21192","layer":3},{"info":"compute unary expreesion, input=-21192, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-21099","layer":2},{"info":"number node, value=3445","layer":4},{"info":"number node, value=6152","layer":4},{"info":"compute binary expreesion, left_input=3445, right_input=6152, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=14811","layer":3},{"info":"number node, value=4077","layer":4},{"info":"compute unary expreesion, input=4077, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-8735","layer":3},{"info":"compute binary expreesion, left_input=14811, right_input=-8735, op_id = rysDP5nf3Z binary_op_definition= 'None', output=23546","layer":2},{"info":"compute binary expreesion, left_input=-21099, right_input=23546, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-21099","layer":1},{"info":"compute unary expreesion, input=-21099, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=63297","layer":0}],"base":12,"result_base":12,"text":"⊖((⇾⩊⇾⫖↰⪸B42)⇩)⊕∕(⫖↰⪸1BB1⊨⫖↰⪸3688-(⫖↰⪸2439⪘⨀))=⫖↰⪸30769","reverse_text":"⫖↰⪸30769=⊖((⇾⩊⇾⫖↰⪸B42)⇩)⊕∕(⫖↰⪸1BB1⊨⫖↰⪸3688-(⫖↰⪸2439⪘⨀))","cot":[{"info":"⇾⩊⇾⫖↰⪸B42=⫖↰⪸-10320","layer":3},{"info":"⫖↰⪸-10320⇩=⫖↰⪸-10263","layer":2},{"info":"⫖↰⪸1BB1⊨⫖↰⪸3688=⫖↰⪸86A3","layer":3},{"info":"⫖↰⪸2439⪘⨀=⫖↰⪸-507B","layer":3},{"info":"⫖↰⪸86A3-⫖↰⪸-507B=⫖↰⪸11762","layer":2},{"info":"⫖↰⪸-10263⊕∕⫖↰⪸11762=⫖↰⪸-10263","layer":1},{"info":"⊖⫖↰⪸-10263=⫖↰⪸30769","layer":0}]}
{"id":505,"expression_no_base_symbol":"⨡↴(($1646$⩅⪻⪻)∴($4947$⪍↜⋙$6908$))≁(↴⪽⋼$3277$≦↸$6749$)","expression":"⨡↴((⫖↰⪸B52⩅⪻⪻)∴(⫖↰⪸2A43⪍↜⋙⫖↰⪸3BB8))≁(↴⪽⋼⫖↰⪸1A91≦↸⫖↰⪸3AA5)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":385,"operation_count":7,"complexity_ratio":55.0,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1646,"base":12}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4947,"base":12},"right_expr":{"type":"numeric_atoms","value":6908,"base":12}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3277,"base":12},"right_expr":{"type":"numeric_atoms","value":6749,"base":12}}}}},"used_operators":["liw5iZPkLH","8N2wDY1A35","hrf7POJlIJ","kHoXpA7yos","L05ObWFQCd","5TUYCnJO6w","RygbFNSyEJ"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⫖↰⪸34A5B4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-243033","layer":3},{"info":"number node, value=4947","layer":4},{"info":"number node, value=6908","layer":4},{"info":"compute binary expreesion, left_input=4947, right_input=6908, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-39334","layer":3},{"info":"compute binary expreesion, left_input=-243033, right_input=-39334, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-484418","layer":2},{"info":"number node, value=3277","layer":4},{"info":"number node, value=6749","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=6749, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-19371","layer":3},{"info":"compute unary expreesion, input=-19371, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute binary expreesion, left_input=-484418, right_input=35822, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=846527","layer":1},{"info":"compute unary expreesion, input=846527, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=847576","layer":0}],"base":12,"result_base":12,"text":"⨡↴((⫖↰⪸B52⩅⪻⪻)∴(⫖↰⪸2A43⪍↜⋙⫖↰⪸3BB8))≁(↴⪽⋼⫖↰⪸1A91≦↸⫖↰⪸3AA5)=⫖↰⪸34A5B4","reverse_text":"⫖↰⪸34A5B4=⨡↴((⫖↰⪸B52⩅⪻⪻)∴(⫖↰⪸2A43⪍↜⋙⫖↰⪸3BB8))≁(↴⪽⋼⫖↰⪸1A91≦↸⫖↰⪸3AA5)","cot":[{"info":"⫖↰⪸B52⩅⪻⪻=⫖↰⪸-B8789","layer":3},{"info":"⫖↰⪸2A43⪍↜⋙⫖↰⪸3BB8=⫖↰⪸-1A91A","layer":3},{"info":"⫖↰⪸-B8789∴⫖↰⪸-1A91A=⫖↰⪸-1B4402","layer":2},{"info":"⫖↰⪸1A91≦↸⫖↰⪸3AA5=⫖↰⪸-B263","layer":3},{"info":"↴⪽⋼⫖↰⪸-B263=⫖↰⪸18892","layer":2},{"info":"⫖↰⪸-1B4402≁⫖↰⪸18892=⫖↰⪸349A7B","layer":1},{"info":"⨡↴⫖↰⪸349A7B=⫖↰⪸34A5B4","layer":0}]}
{"id":506,"expression_no_base_symbol":"⩩(($2942$⪇≇⋚$1450$)⨓($2533$⩒⫫$3320$)/($2825$⪭$2506$)⪮%⊝($3673$⨉))","expression":"⩩((⫖↰⪸1852⪇≇⋚⫖↰⪸A0A)⨓(⫖↰⪸1571⩒⫫⫖↰⪸1B08)/(⫖↰⪸1775⪭⫖↰⪸154A)⪮%⊝(⫖↰⪸2161⨉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6965,"operation_count":8,"complexity_ratio":870.625,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2942,"base":12},"right_expr":{"type":"numeric_atoms","value":1450,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2533,"base":12},"right_expr":{"type":"numeric_atoms","value":3320,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2825,"base":12},"right_expr":{"type":"numeric_atoms","value":2506,"base":12}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":3673,"base":12}}}}},"used_operators":["kMhfGuqI2H","XhwjNDsVaA","3ViojmjbAp","3sJ7IOPOlU","KFSx94NKJn","IWmyXbctLI","j9kHMeSvPp","aMUSaJuDRU"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2942","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=1450, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2533","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=3320, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2231","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2231, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2234","layer":2},{"info":"number node, value=2825","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=2825, right_input=2506, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3673","layer":4},{"info":"compute unary expreesion, input=3673, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=9674","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=9674, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=326","layer":2},{"info":"compute binary expreesion, left_input=-2234, right_input=326, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-7","layer":1},{"info":"compute unary expreesion, input=-7, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩩((⫖↰⪸1852⪇≇⋚⫖↰⪸A0A)⨓(⫖↰⪸1571⩒⫫⫖↰⪸1B08)/(⫖↰⪸1775⪭⫖↰⪸154A)⪮%⊝(⫖↰⪸2161⨉))=NaN","reverse_text":"NaN=⩩((⫖↰⪸1852⪇≇⋚⫖↰⪸A0A)⨓(⫖↰⪸1571⩒⫫⫖↰⪸1B08)/(⫖↰⪸1775⪭⫖↰⪸154A)⪮%⊝(⫖↰⪸2161⨉))","cot":[{"info":"⫖↰⪸1852⪇≇⋚⫖↰⪸A0A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1571⩒⫫⫖↰⪸1B08=⫖↰⪸135B","layer":3},{"info":"⫖↰⪸0⨓⫖↰⪸135B=⫖↰⪸-1362","layer":2},{"info":"⫖↰⪸1775⪭⫖↰⪸154A=⫖↰⪸5","layer":3},{"info":"⫖↰⪸2161⨉=⫖↰⪸5722","layer":3},{"info":"⫖↰⪸5⪮%⊝⫖↰⪸5722=⫖↰⪸232","layer":2},{"info":"⫖↰⪸-1362/⫖↰⪸232=⫖↰⪸-7","layer":1},{"info":"⩩⫖↰⪸-7=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"($1326$↞⋁$1358$⊉↱≁(⊲⪭$4193$)↬((↸⊣$9288$)⫲))≃⋄","expression":"(⫖↰⪸926↞⋁⫖↰⪸952⊉↱≁(⊲⪭⫖↰⪸2515)↬((↸⊣⫖↰⪸5460)⫲))≃⋄","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":249,"operation_count":7,"complexity_ratio":35.57142857142857,"tree":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1326,"base":12},"right_expr":{"type":"numeric_atoms","value":1358,"base":12}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4193,"base":12}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":9288,"base":12}}}}},"used_operators":["aN9a90urxU","B5M0gjZbta","w2P8NbNXyL","RqrPlJkxDo","k7HXdKtiEU","9xnGDUPbC6","wztAlM01eG"],"dependent_operators":["uFcxV4UQCh","jLgFTUHLKL","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","i8ToyICDmI","xUOZtlo3hN","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1326","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=1358, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=4193","layer":4},{"info":"compute unary expreesion, input=4193, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4367","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4367, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=9288","layer":4},{"info":"compute unary expreesion, input=9288, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-9001","layer":3},{"info":"compute unary expreesion, input=-9001, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=17881","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17881, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸926↞⋁⫖↰⪸952⊉↱≁(⊲⪭⫖↰⪸2515)↬((↸⊣⫖↰⪸5460)⫲))≃⋄=NaN","reverse_text":"NaN=(⫖↰⪸926↞⋁⫖↰⪸952⊉↱≁(⊲⪭⫖↰⪸2515)↬((↸⊣⫖↰⪸5460)⫲))≃⋄","cot":[{"info":"⫖↰⪸926↞⋁⫖↰⪸952=NaN","layer":3},{"info":"⊲⪭⫖↰⪸2515=⫖↰⪸-263B","layer":3},{"info":"NaN⊉↱≁⫖↰⪸-263B=NaN","layer":2},{"info":"↸⊣⫖↰⪸5460=⫖↰⪸-5261","layer":3},{"info":"⫖↰⪸-5261⫲=⫖↰⪸A421","layer":2},{"info":"NaN↬⫖↰⪸A421=NaN","layer":1},{"info":"NaN≃⋄=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"((≦∁(⊑$6571$))⪭≯($2669$⩧⪆$7346$)⨚($1586$⪮%⊝$4752$))⫞⩸⩒(∓((⩪∧⨌$1125$)⨸⪁$3849$⊋$5469$))","expression":"((≦∁(⊑⫖↰⪸3977))⪭≯(⫖↰⪸1665⩧⪆⫖↰⪸4302)⨚(⫖↰⪸B02⪮%⊝⫖↰⪸2900))⫞⩸⩒(∓((⩪∧⨌⫖↰⪸799)⨸⪁⫖↰⪸2289⊋⫖↰⪸31B9))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9933,"operation_count":11,"complexity_ratio":903.0,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":6571,"base":12}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2669,"base":12},"right_expr":{"type":"numeric_atoms","value":7346,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1586,"base":12},"right_expr":{"type":"numeric_atoms","value":4752,"base":12}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1125,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3849,"base":12},"right_expr":{"type":"numeric_atoms","value":5469,"base":12}}}}},"used_operators":["XGcMNugi78","XAx5wpdLa6","9ICcGScMcE","IkUmn0D7oy","nREPSIbpBE","Ikt5ks8PT7","IWmyXbctLI","OwUj7dcsQK","g55IO6H4Gj","6iOiAJX1F8","W4tP9CfskL"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","BjRHVeLaeN","12rbrZMWeM","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6571","layer":4},{"info":"compute unary expreesion, input=6571, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2624","layer":2},{"info":"number node, value=2669","layer":4},{"info":"number node, value=7346","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=7346, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7346","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=4752","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=4752, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3488","layer":3},{"info":"compute binary expreesion, left_input=-7346, right_input=3488, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-27710","layer":2},{"info":"compute binary expreesion, left_input=-2624, right_input=-27710, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=11250","layer":3},{"info":"number node, value=3849","layer":4},{"info":"number node, value=5469","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=5469, 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=-68153748","layer":3},{"info":"compute binary expreesion, left_input=11250, right_input=-68153748, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-136284996","layer":2},{"info":"compute unary expreesion, input=-136284996, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=2044270068","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2044270068, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≦∁(⊑⫖↰⪸3977))⪭≯(⫖↰⪸1665⩧⪆⫖↰⪸4302)⨚(⫖↰⪸B02⪮%⊝⫖↰⪸2900))⫞⩸⩒(∓((⩪∧⨌⫖↰⪸799)⨸⪁⫖↰⪸2289⊋⫖↰⪸31B9))=NaN","reverse_text":"NaN=((≦∁(⊑⫖↰⪸3977))⪭≯(⫖↰⪸1665⩧⪆⫖↰⪸4302)⨚(⫖↰⪸B02⪮%⊝⫖↰⪸2900))⫞⩸⩒(∓((⩪∧⨌⫖↰⪸799)⨸⪁⫖↰⪸2289⊋⫖↰⪸31B9))","cot":[{"info":"⊑⫖↰⪸3977=⫖↰⪸140","layer":3},{"info":"≦∁⫖↰⪸140=⫖↰⪸-1628","layer":2},{"info":"⫖↰⪸1665⩧⪆⫖↰⪸4302=⫖↰⪸-4302","layer":3},{"info":"⫖↰⪸B02⪮%⊝⫖↰⪸2900=⫖↰⪸2028","layer":3},{"info":"⫖↰⪸-4302⨚⫖↰⪸2028=⫖↰⪸-14052","layer":2},{"info":"⫖↰⪸-1628⪭≯⫖↰⪸-14052=NaN","layer":1},{"info":"⩪∧⨌⫖↰⪸799=⫖↰⪸6616","layer":3},{"info":"⫖↰⪸2289⊋⫖↰⪸31B9=⫖↰⪸-1A9A89B0","layer":3},{"info":"⫖↰⪸6616⨸⪁⫖↰⪸-1A9A89B0=⫖↰⪸-39784770","layer":2},{"info":"∓⫖↰⪸-39784770=⫖↰⪸4907567B0","layer":1},{"info":"NaN⫞⩸⩒⫖↰⪸4907567B0=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"(≋(⩏⊷≩$1013$))⩁⩘($2665$≃$1741$)≁↽≥(⊀$4175$)⪡(($2182$≀⩗∶$1410$)⊱⇼⊻(⊀$1154$)⩵∡$7767$⩣⫁∢$1645$≬⇓$6924$↤⩊$4135$)","expression":"(≋(⩏⊷≩⫖↰⪸705))⩁⩘(⫖↰⪸1661≃⫖↰⪸1011)≁↽≥(⊀⫖↰⪸24BB)⪡((⫖↰⪸131A≀⩗∶⫖↰⪸996)⊱⇼⊻(⊀⫖↰⪸802)⩵∡⫖↰⪸45B3⩣⫁∢⫖↰⪸B51≬⇓⫖↰⪸4010↤⩊⫖↰⪸2487)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":46624,"operation_count":14,"complexity_ratio":3330.285714285714,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1013,"base":12}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2665,"base":12},"right_expr":{"type":"numeric_atoms","value":1741,"base":12}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":4175,"base":12}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2182,"base":12},"right_expr":{"type":"numeric_atoms","value":1410,"base":12}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1154,"base":12}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":7767,"base":12},"right_expr":{"type":"numeric_atoms","value":1645,"base":12}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6924,"base":12},"right_expr":{"type":"numeric_atoms","value":4135,"base":12}}}}},"used_operators":["oraRL2iQuh","gub5Cegaqo","61wBmkZwlr","uOZ1tnYMDE","ncHt1X6cMc","YbVcJGFEVW","oPMjh9089D","Y7wcNGrDQJ","FyVja0WsTP","8INZBEW696","jWTQ2TZYIH","JDUIKTTSIa","13rbtpv6ld"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","IWmyXbctLI","7j4O788W3g","23Mk6UjR3U","12rbrZMWeM","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"⫖↰⪸4A0654","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=1725","layer":3},{"info":"compute unary expreesion, input=1725, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1725","layer":2},{"info":"number node, value=2665","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=1741, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-10700","layer":3},{"info":"number node, value=4175","layer":4},{"info":"compute unary expreesion, input=4175, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=16438","layer":3},{"info":"compute binary expreesion, left_input=-10700, right_input=16438, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-150568","layer":2},{"info":"compute binary expreesion, left_input=1725, right_input=-150568, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-601324","layer":1},{"info":"number node, value=2182","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=1410, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4354","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4354, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":2},{"info":"number node, value=7767","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=7767, right_input=1645, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-15373","layer":3},{"info":"number node, value=6924","layer":4},{"info":"number node, value=4135","layer":4},{"info":"compute binary expreesion, left_input=6924, right_input=4135, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15373, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=inf, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=-601324, right_input=inf, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1203616","layer":0}],"base":12,"result_base":12,"text":"(≋(⩏⊷≩⫖↰⪸705))⩁⩘(⫖↰⪸1661≃⫖↰⪸1011)≁↽≥(⊀⫖↰⪸24BB)⪡((⫖↰⪸131A≀⩗∶⫖↰⪸996)⊱⇼⊻(⊀⫖↰⪸802)⩵∡⫖↰⪸45B3⩣⫁∢⫖↰⪸B51≬⇓⫖↰⪸4010↤⩊⫖↰⪸2487)=⫖↰⪸4A0654","reverse_text":"⫖↰⪸4A0654=(≋(⩏⊷≩⫖↰⪸705))⩁⩘(⫖↰⪸1661≃⫖↰⪸1011)≁↽≥(⊀⫖↰⪸24BB)⪡((⫖↰⪸131A≀⩗∶⫖↰⪸996)⊱⇼⊻(⊀⫖↰⪸802)⩵∡⫖↰⪸45B3⩣⫁∢⫖↰⪸B51≬⇓⫖↰⪸4010↤⩊⫖↰⪸2487)","cot":[{"info":"⩏⊷≩⫖↰⪸705=⫖↰⪸BB9","layer":3},{"info":"≋⫖↰⪸BB9=⫖↰⪸BB9","layer":2},{"info":"⫖↰⪸1661≃⫖↰⪸1011=⫖↰⪸-6238","layer":3},{"info":"⊀⫖↰⪸24BB=⫖↰⪸961A","layer":3},{"info":"⫖↰⪸-6238≁↽≥⫖↰⪸961A=⫖↰⪸-73174","layer":2},{"info":"⫖↰⪸BB9⩁⩘⫖↰⪸-73174=⫖↰⪸-24BBA4","layer":1},{"info":"⫖↰⪸131A≀⩗∶⫖↰⪸996=⫖↰⪸0","layer":3},{"info":"⊀⫖↰⪸802=⫖↰⪸262A","layer":3},{"info":"⫖↰⪸0⊱⇼⊻⫖↰⪸262A=⫖↰⪸150","layer":2},{"info":"⫖↰⪸45B3⩣⫁∢⫖↰⪸B51=⫖↰⪸-8A91","layer":3},{"info":"⫖↰⪸4010↤⩊⫖↰⪸2487=NaN","layer":3},{"info":"⫖↰⪸-8A91≬⇓NaN=Inf","layer":2},{"info":"⫖↰⪸150⩵∡Inf=Inf","layer":1},{"info":"⫖↰⪸-24BBA4⪡Inf=⫖↰⪸4A0654","layer":0}]}
{"id":510,"expression_no_base_symbol":"(↽≂($3705$+⪬∐$1767$∕⩚$7286$⩷∴$1147$))⪕($4423$↼⊘⨖$5007$)⩦($5496$⫸⊐$1499$)⩼⇪↪($3179$⪍↜⋙$1778$⩚⊴⇥($1655$⫳≱↱$5566$))","expression":"(↽≂(⫖↰⪸2189+⪬∐⫖↰⪸1033∕⩚⫖↰⪸4272⩷∴⫖↰⪸7B7))⪕(⫖↰⪸2687↼⊘⨖⫖↰⪸2A93)⩦(⫖↰⪸3220⫸⊐⫖↰⪸A4B)⩼⇪↪(⫖↰⪸1A0B⪍↜⋙⫖↰⪸1042⩚⊴⇥(⫖↰⪸B5B⫳≱↱⫖↰⪸327A))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11538,"operation_count":12,"complexity_ratio":961.5,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3705,"base":12},"right_expr":{"type":"numeric_atoms","value":1767,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7286,"base":12},"right_expr":{"type":"numeric_atoms","value":1147,"base":12}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4423,"base":12},"right_expr":{"type":"numeric_atoms","value":5007,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5496,"base":12},"right_expr":{"type":"numeric_atoms","value":1499,"base":12}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3179,"base":12},"right_expr":{"type":"numeric_atoms","value":1778,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1655,"base":12},"right_expr":{"type":"numeric_atoms","value":5566,"base":12}}}}},"used_operators":["umQnsF7QlU","u6S6b8DprG","z9ffQ9n5Zr","2GS7woTJqF","9FxExcQeMw","ocnLzx9CaJ","0kmYd0q39Y","bPywburJMS","mqXw5SEYmG","NTOWxs364D","L05ObWFQCd","ZvLB05nZmT"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⫖↰⪸-47","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3705","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=1767, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11115","layer":3},{"info":"number node, value=7286","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=7286, right_input=1147, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12246","layer":3},{"info":"compute binary expreesion, left_input=-11115, right_input=12246, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-11118","layer":2},{"info":"compute unary expreesion, input=-11118, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=22236","layer":1},{"info":"number node, value=4423","layer":4},{"info":"number node, value=5007","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=5007, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9792","layer":3},{"info":"number node, value=5496","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=1499, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5871","layer":3},{"info":"compute binary expreesion, left_input=9792, right_input=5871, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=19584","layer":2},{"info":"number node, value=3179","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=3179, right_input=1778, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2802","layer":3},{"info":"number node, value=1655","layer":4},{"info":"number node, value=5566","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=5566, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-204, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2719","layer":2},{"info":"compute binary expreesion, left_input=19584, right_input=-2719, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=57418","layer":1},{"info":"compute binary expreesion, left_input=22236, right_input=57418, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":0}],"base":12,"result_base":12,"text":"(↽≂(⫖↰⪸2189+⪬∐⫖↰⪸1033∕⩚⫖↰⪸4272⩷∴⫖↰⪸7B7))⪕(⫖↰⪸2687↼⊘⨖⫖↰⪸2A93)⩦(⫖↰⪸3220⫸⊐⫖↰⪸A4B)⩼⇪↪(⫖↰⪸1A0B⪍↜⋙⫖↰⪸1042⩚⊴⇥(⫖↰⪸B5B⫳≱↱⫖↰⪸327A))=⫖↰⪸-47","reverse_text":"⫖↰⪸-47=(↽≂(⫖↰⪸2189+⪬∐⫖↰⪸1033∕⩚⫖↰⪸4272⩷∴⫖↰⪸7B7))⪕(⫖↰⪸2687↼⊘⨖⫖↰⪸2A93)⩦(⫖↰⪸3220⫸⊐⫖↰⪸A4B)⩼⇪↪(⫖↰⪸1A0B⪍↜⋙⫖↰⪸1042⩚⊴⇥(⫖↰⪸B5B⫳≱↱⫖↰⪸327A))","cot":[{"info":"⫖↰⪸2189+⪬∐⫖↰⪸1033=⫖↰⪸-6523","layer":3},{"info":"⫖↰⪸4272⩷∴⫖↰⪸7B7=⫖↰⪸7106","layer":3},{"info":"⫖↰⪸-6523∕⩚⫖↰⪸7106=⫖↰⪸-6526","layer":2},{"info":"↽≂⫖↰⪸-6526=⫖↰⪸10A50","layer":1},{"info":"⫖↰⪸2687↼⊘⨖⫖↰⪸2A93=⫖↰⪸5800","layer":3},{"info":"⫖↰⪸3220⫸⊐⫖↰⪸A4B=⫖↰⪸3493","layer":3},{"info":"⫖↰⪸5800⩦⫖↰⪸3493=⫖↰⪸B400","layer":2},{"info":"⫖↰⪸1A0B⪍↜⋙⫖↰⪸1042=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸B5B⫳≱↱⫖↰⪸327A=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸1756⩚⊴⇥⫖↰⪸-150=⫖↰⪸-16A7","layer":2},{"info":"⫖↰⪸B400⩼⇪↪⫖↰⪸-16A7=⫖↰⪸2928A","layer":1},{"info":"⫖↰⪸10A50⪕⫖↰⪸2928A=⫖↰⪸-47","layer":0}]}
{"id":511,"expression_no_base_symbol":"((⩏⊷≩$3811$⫰⋱$1059$)/($1797$∪⫐$4778$)⪉⨛$3285$⪛⫼$2423$)⩌⋺((($3792$↠)∕⩚(∂⩏⊆$1127$))⩘⨬⇊)","expression":"((⩏⊷≩⫖↰⪸2257⫰⋱⫖↰⪸743)/(⫖↰⪸1059∪⫐⫖↰⪸2922)⪉⨛⫖↰⪸1A99⪛⫼⫖↰⪸149B)⩌⋺(((⫖↰⪸2240↠)∕⩚(∂⩏⊆⫖↰⪸79B))⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":238865,"operation_count":11,"complexity_ratio":21715.0,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3811,"base":12},"right_expr":{"type":"numeric_atoms","value":1059,"base":12}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1797,"base":12},"right_expr":{"type":"numeric_atoms","value":4778,"base":12}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3285,"base":12},"right_expr":{"type":"numeric_atoms","value":2423,"base":12}}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":3792,"base":12}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1127,"base":12}}}}},"used_operators":["g7Hmc5v1ko","XhwjNDsVaA","uOZ1tnYMDE","6o9Blt3TJ6","EWw2JM7wp4","7YooWSwCyH","hyuBjUqXlG","XXmTpEpWTW","z9ffQ9n5Zr","LBdsKIvxzf","8WDwsbhb0R"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","14qkJME0vr","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3811","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=3811, right_input=1059, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3778","layer":3},{"info":"compute unary expreesion, input=-3778, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=15726","layer":2},{"info":"number node, value=1797","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=4778, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1797","layer":3},{"info":"number node, value=3285","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=3285, right_input=2423, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=1797, right_input=968, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4638","layer":2},{"info":"compute binary expreesion, left_input=15726, right_input=4638, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"number node, value=3792","layer":4},{"info":"compute unary expreesion, input=3792, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3460","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-3460, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⩏⊷≩⫖↰⪸2257⫰⋱⫖↰⪸743)/(⫖↰⪸1059∪⫐⫖↰⪸2922)⪉⨛⫖↰⪸1A99⪛⫼⫖↰⪸149B)⩌⋺(((⫖↰⪸2240↠)∕⩚(∂⩏⊆⫖↰⪸79B))⩘⨬⇊)=NaN","reverse_text":"NaN=((⩏⊷≩⫖↰⪸2257⫰⋱⫖↰⪸743)/(⫖↰⪸1059∪⫐⫖↰⪸2922)⪉⨛⫖↰⪸1A99⪛⫼⫖↰⪸149B)⩌⋺(((⫖↰⪸2240↠)∕⩚(∂⩏⊆⫖↰⪸79B))⩘⨬⇊)","cot":[{"info":"⫖↰⪸2257⫰⋱⫖↰⪸743=⫖↰⪸-222A","layer":3},{"info":"⩏⊷≩⫖↰⪸-222A=⫖↰⪸9126","layer":2},{"info":"⫖↰⪸1059∪⫐⫖↰⪸2922=⫖↰⪸1059","layer":3},{"info":"⫖↰⪸1A99⪛⫼⫖↰⪸149B=⫖↰⪸688","layer":3},{"info":"⫖↰⪸1059⪉⨛⫖↰⪸688=⫖↰⪸2826","layer":2},{"info":"⫖↰⪸9126/⫖↰⪸2826=⫖↰⪸3","layer":1},{"info":"⫖↰⪸2240↠=⫖↰⪸-313","layer":3},{"info":"∂⩏⊆⫖↰⪸79B=⫖↰⪸-2004","layer":3},{"info":"⫖↰⪸-313∕⩚⫖↰⪸-2004=⫖↰⪸-347","layer":2},{"info":"⫖↰⪸-347⩘⨬⇊=NaN","layer":1},{"info":"⫖↰⪸3⩌⋺NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"⇙⪊(($1603$≴⪞⇿$8877$⫲≸⪮$4377$⨽∌$3635$)⪚($3872$⨻⩈⩔$1658$⪔(⇙⪊$7115$)))","expression":"⇙⪊((⫖↰⪸B17≴⪞⇿⫖↰⪸5179⫲≸⪮⫖↰⪸2649⨽∌⫖↰⪸212B)⪚(⫖↰⪸22A8⨻⩈⩔⫖↰⪸B62⪔(⇙⪊⫖↰⪸414B)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1661,"operation_count":8,"complexity_ratio":207.625,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1603,"base":12},"right_expr":{"type":"numeric_atoms","value":8877,"base":12}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4377,"base":12},"right_expr":{"type":"numeric_atoms","value":3635,"base":12}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3872,"base":12},"right_expr":{"type":"numeric_atoms","value":1658,"base":12}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":7115,"base":12}}}}},"used_operators":["pB6Fcnrjim","HrjLwUk87U","P3lXMJvFrc","lvlrscuwVU","9samAPKr6k","GjBEYRfMaF","nEsXyWgiOK"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1603","layer":4},{"info":"number node, value=8877","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=8877, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3538034","layer":3},{"info":"number node, value=4377","layer":4},{"info":"number node, value=3635","layer":4},{"info":"compute binary expreesion, left_input=4377, right_input=3635, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3538034, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"number node, value=3872","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=1658, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=22575","layer":3},{"info":"number node, value=7115","layer":4},{"info":"compute unary expreesion, input=7115, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=22575, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6760, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇙⪊((⫖↰⪸B17≴⪞⇿⫖↰⪸5179⫲≸⪮⫖↰⪸2649⨽∌⫖↰⪸212B)⪚(⫖↰⪸22A8⨻⩈⩔⫖↰⪸B62⪔(⇙⪊⫖↰⪸414B)))=NaN","reverse_text":"NaN=⇙⪊((⫖↰⪸B17≴⪞⇿⫖↰⪸5179⫲≸⪮⫖↰⪸2649⨽∌⫖↰⪸212B)⪚(⫖↰⪸22A8⨻⩈⩔⫖↰⪸B62⪔(⇙⪊⫖↰⪸414B)))","cot":[{"info":"⫖↰⪸B17≴⪞⇿⫖↰⪸5179=⫖↰⪸1227582","layer":3},{"info":"⫖↰⪸2649⨽∌⫖↰⪸212B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1227582⫲≸⪮⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸22A8⨻⩈⩔⫖↰⪸B62=⫖↰⪸11093","layer":3},{"info":"⇙⪊⫖↰⪸414B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸11093⪔⫖↰⪸0=⫖↰⪸-3AB4","layer":2},{"info":"NaN⪚⫖↰⪸-3AB4=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"(($1594$⊹∫⫚$1139$)↓($3178$⊋≦⊧$5037$)≓∲($1061$⨫⇇↔$1146$⪬∳))∊∟⩊(⫯($1031$≳⇉$1541$))⫗⊷⫓($4791$⫃⨇$4127$⫌⩉⩟(⩎⋉$1201$))","expression":"((⫖↰⪸B0A⊹∫⫚⫖↰⪸7AB)↓(⫖↰⪸1A0A⊋≦⊧⫖↰⪸2AB9)≓∲(⫖↰⪸745⨫⇇↔⫖↰⪸7B6⪬∳))∊∟⩊(⫯(⫖↰⪸71B≳⇉⫖↰⪸A85))⫗⊷⫓(⫖↰⪸2933⫃⨇⫖↰⪸247B⫌⩉⩟(⩎⋉⫖↰⪸841))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":122394622,"operation_count":13,"complexity_ratio":9414970.923076924,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1594,"base":12},"right_expr":{"type":"numeric_atoms","value":1139,"base":12}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3178,"base":12},"right_expr":{"type":"numeric_atoms","value":5037,"base":12}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":1146,"base":12}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1031,"base":12},"right_expr":{"type":"numeric_atoms","value":1541,"base":12}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4791,"base":12},"right_expr":{"type":"numeric_atoms","value":4127,"base":12}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1201,"base":12}}}}},"used_operators":["ddLRYrp01A","s1XTVnmDOJ","Af076pWI7l","uWAJUKEvyW","oRDoc9rAEX","O9U3z1385E","LXhwmt4mBO","zashukvMKz","H6BK1Evt7c","V0kx6qeWkN","XIIwhv8d0m","09Ly4LVMIf","FlXk3pOYe8"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⫖↰⪸7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1594","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=1139, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-196","layer":3},{"info":"number node, value=3178","layer":4},{"info":"number node, value=5037","layer":4},{"info":"compute binary expreesion, left_input=3178, right_input=5037, 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=-7975","layer":3},{"info":"compute binary expreesion, left_input=-196, right_input=-7975, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1146, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-709, 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=27037","layer":1},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1541, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":2},{"info":"number node, value=4791","layer":4},{"info":"number node, value=4127","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=4127, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16540","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-16540, right_input=1650, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = 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=27037, right_input=-134, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B0A⊹∫⫚⫖↰⪸7AB)↓(⫖↰⪸1A0A⊋≦⊧⫖↰⪸2AB9)≓∲(⫖↰⪸745⨫⇇↔⫖↰⪸7B6⪬∳))∊∟⩊(⫯(⫖↰⪸71B≳⇉⫖↰⪸A85))⫗⊷⫓(⫖↰⪸2933⫃⨇⫖↰⪸247B⫌⩉⩟(⩎⋉⫖↰⪸841))=⫖↰⪸7","reverse_text":"⫖↰⪸7=((⫖↰⪸B0A⊹∫⫚⫖↰⪸7AB)↓(⫖↰⪸1A0A⊋≦⊧⫖↰⪸2AB9)≓∲(⫖↰⪸745⨫⇇↔⫖↰⪸7B6⪬∳))∊∟⩊(⫯(⫖↰⪸71B≳⇉⫖↰⪸A85))⫗⊷⫓(⫖↰⪸2933⫃⨇⫖↰⪸247B⫌⩉⩟(⩎⋉⫖↰⪸841))","cot":[{"info":"⫖↰⪸B0A⊹∫⫚⫖↰⪸7AB=⫖↰⪸-144","layer":3},{"info":"⫖↰⪸1A0A⊋≦⊧⫖↰⪸2AB9=⫖↰⪸-4747","layer":3},{"info":"⫖↰⪸-144↓⫖↰⪸-4747=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸745⨫⇇↔⫖↰⪸7B6=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸-37B⪬∳=⫖↰⪸-4B1","layer":2},{"info":"⫖↰⪸-B2≓∲⫖↰⪸-4B1=⫖↰⪸13791","layer":1},{"info":"⫖↰⪸71B≳⇉⫖↰⪸A85=NaN","layer":3},{"info":"⫯NaN=NaN","layer":2},{"info":"⫖↰⪸2933⫃⨇⫖↰⪸247B=⫖↰⪸-96A4","layer":3},{"info":"⩎⋉⫖↰⪸841=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸-96A4⫌⩉⩟⫖↰⪸B56=⫖↰⪸-42","layer":2},{"info":"NaN⫗⊷⫓⫖↰⪸-42=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸13791∊∟⩊⫖↰⪸-B2=⫖↰⪸7","layer":0}]}
{"id":514,"expression_no_base_symbol":"∤(($4359$⪬∳)∷$7923$↳≱$2192$)⊕∕(($1817$∀⇚≩$1577$)⨿(≸≮$1702$))","expression":"∤((⫖↰⪸2633⪬∳)∷⫖↰⪸4703↳≱⫖↰⪸1328)⊕∕((⫖↰⪸1075∀⇚≩⫖↰⪸AB5)⨿(≸≮⫖↰⪸B9A))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36186,"operation_count":8,"complexity_ratio":4523.25,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":4359,"base":12}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7923,"base":12},"right_expr":{"type":"numeric_atoms","value":2192,"base":12}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1817,"base":12},"right_expr":{"type":"numeric_atoms","value":1577,"base":12}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1702,"base":12}}}}},"used_operators":["k2HlF1dBQh","9cloC0Ngie","D3AQDKkPcf","O9U3z1385E","JwTKLfZU96","abYXlopdE0","LRNGc0VcxI","AljMvE3RRm"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","NTOWxs364D","7j4O788W3g","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","X99M06cbEe","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"⫖↰⪸9","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4359","layer":4},{"info":"compute unary expreesion, input=4359, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=7923","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=7923, right_input=2192, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-85","layer":2},{"info":"number node, value=1817","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=1577, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1702","layer":4},{"info":"compute unary expreesion, input=1702, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-85, right_input=67, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-85","layer":1},{"info":"compute unary expreesion, input=-85, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":12,"result_base":12,"text":"∤((⫖↰⪸2633⪬∳)∷⫖↰⪸4703↳≱⫖↰⪸1328)⊕∕((⫖↰⪸1075∀⇚≩⫖↰⪸AB5)⨿(≸≮⫖↰⪸B9A))=⫖↰⪸9","reverse_text":"⫖↰⪸9=∤((⫖↰⪸2633⪬∳)∷⫖↰⪸4703↳≱⫖↰⪸1328)⊕∕((⫖↰⪸1075∀⇚≩⫖↰⪸AB5)⨿(≸≮⫖↰⪸B9A))","cot":[{"info":"⫖↰⪸2633⪬∳=⫖↰⪸-4B1","layer":3},{"info":"⫖↰⪸4703↳≱⫖↰⪸1328=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-4B1∷⫖↰⪸0=⫖↰⪸-71","layer":2},{"info":"⫖↰⪸1075∀⇚≩⫖↰⪸AB5=NaN","layer":3},{"info":"≸≮⫖↰⪸B9A=NaN","layer":3},{"info":"NaN⨿NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-71⊕∕⫖↰⪸57=⫖↰⪸-71","layer":1},{"info":"∤⫖↰⪸-71=⫖↰⪸9","layer":0}]}
{"id":515,"expression_no_base_symbol":"(⊢≑≆(($6137$⫰⋱$2211$)⪎↠$4135$≦↸$4025$))∴(($1093$⫚↹⊑$1789$)⨭⪣$1696$∓⋝$1771$)⩦(⇖⫷⫕(⋗⩬⋾$4997$))","expression":"(⊢≑≆((⫖↰⪸3675⫰⋱⫖↰⪸1343)⪎↠⫖↰⪸2487≦↸⫖↰⪸23B5))∴((⫖↰⪸771⫚↹⊑⫖↰⪸1051)⨭⪣⫖↰⪸B94∓⋝⫖↰⪸1037)⩦(⇖⫷⫕(⋗⩬⋾⫖↰⪸2A85))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1149,"operation_count":11,"complexity_ratio":104.45454545454545,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6137,"base":12},"right_expr":{"type":"numeric_atoms","value":2211,"base":12}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4135,"base":12},"right_expr":{"type":"numeric_atoms","value":4025,"base":12}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1093,"base":12},"right_expr":{"type":"numeric_atoms","value":1789,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1696,"base":12},"right_expr":{"type":"numeric_atoms","value":1771,"base":12}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4997,"base":12}}}}},"used_operators":["hrf7POJlIJ","27wFxooxGf","3tVxb0NHM4","6o9Blt3TJ6","RygbFNSyEJ","0kmYd0q39Y","kn8WO9XteQ","dfKe02y8D2","PoHhknlbAi","UHmRx3INFg","DpFCA1CohY"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸137A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6137","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=2211, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6104","layer":3},{"info":"number node, value=4135","layer":4},{"info":"number node, value=4025","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=4025, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15639","layer":3},{"info":"compute binary expreesion, left_input=-6104, right_input=-15639, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=303","layer":1},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1789, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1696","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=1771, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=67, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-348","layer":2},{"info":"number node, value=4997","layer":4},{"info":"compute unary expreesion, input=4997, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14991","layer":3},{"info":"compute unary expreesion, input=-14991, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-348, right_input=2822, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-15731","layer":1},{"info":"compute binary expreesion, left_input=303, right_input=-15731, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2254","layer":0}],"base":12,"result_base":12,"text":"(⊢≑≆((⫖↰⪸3675⫰⋱⫖↰⪸1343)⪎↠⫖↰⪸2487≦↸⫖↰⪸23B5))∴((⫖↰⪸771⫚↹⊑⫖↰⪸1051)⨭⪣⫖↰⪸B94∓⋝⫖↰⪸1037)⩦(⇖⫷⫕(⋗⩬⋾⫖↰⪸2A85))=⫖↰⪸137A","reverse_text":"⫖↰⪸137A=(⊢≑≆((⫖↰⪸3675⫰⋱⫖↰⪸1343)⪎↠⫖↰⪸2487≦↸⫖↰⪸23B5))∴((⫖↰⪸771⫚↹⊑⫖↰⪸1051)⨭⪣⫖↰⪸B94∓⋝⫖↰⪸1037)⩦(⇖⫷⫕(⋗⩬⋾⫖↰⪸2A85))","cot":[{"info":"⫖↰⪸3675⫰⋱⫖↰⪸1343=⫖↰⪸-3648","layer":3},{"info":"⫖↰⪸2487≦↸⫖↰⪸23B5=⫖↰⪸-9073","layer":3},{"info":"⫖↰⪸-3648⪎↠⫖↰⪸-9073=⫖↰⪸-47","layer":2},{"info":"⊢≑≆⫖↰⪸-47=⫖↰⪸213","layer":1},{"info":"⫖↰⪸771⫚↹⊑⫖↰⪸1051=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸B94∓⋝⫖↰⪸1037=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-313⨭⪣⫖↰⪸57=⫖↰⪸-250","layer":2},{"info":"⋗⩬⋾⫖↰⪸2A85=⫖↰⪸-8813","layer":3},{"info":"⇖⫷⫕⫖↰⪸-8813=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸-250⩦⫖↰⪸1772=⫖↰⪸-912B","layer":1},{"info":"⫖↰⪸213∴⫖↰⪸-912B=⫖↰⪸137A","layer":0}]}
{"id":516,"expression_no_base_symbol":"(∷≠(($3914$⫩)≚⊃≕($1200$⇀∌)))⩘(⩰($1841$⪒⊣⊆$1051$)⨿($1605$∖$1350$))","expression":"(∷≠((⫖↰⪸2322⫩)≚⊃≕(⫖↰⪸840⇀∌)))⩘(⩰(⫖↰⪸1095⪒⊣⊆⫖↰⪸737)⨿(⫖↰⪸B19∖⫖↰⪸946))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4626,"operation_count":9,"complexity_ratio":514.0,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":3914,"base":12}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":1200,"base":12}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1841,"base":12},"right_expr":{"type":"numeric_atoms","value":1051,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1605,"base":12},"right_expr":{"type":"numeric_atoms","value":1350,"base":12}}}}},"used_operators":["cHh1gJQ2o6","QiR2Oyf5Xj","Bmrmz2XGnR","6aG7x05OhS","2k53nXOpI5","WkeUrDK8WX","abYXlopdE0","eRqsBgTDFp","tXD093vOjl"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","7j4O788W3g","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3914","layer":4},{"info":"compute unary expreesion, input=3914, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=67","layer":1},{"info":"number node, value=1841","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=1051, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3682","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=1350, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3682, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute unary expreesion, input=-319, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-681","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-681, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":12,"result_base":12,"text":"(∷≠((⫖↰⪸2322⫩)≚⊃≕(⫖↰⪸840⇀∌)))⩘(⩰(⫖↰⪸1095⪒⊣⊆⫖↰⪸737)⨿(⫖↰⪸B19∖⫖↰⪸946))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(∷≠((⫖↰⪸2322⫩)≚⊃≕(⫖↰⪸840⇀∌)))⩘(⩰(⫖↰⪸1095⪒⊣⊆⫖↰⪸737)⨿(⫖↰⪸B19∖⫖↰⪸946))","cot":[{"info":"⫖↰⪸2322⫩=NaN","layer":3},{"info":"⫖↰⪸840⇀∌=⫖↰⪸95","layer":3},{"info":"NaN≚⊃≕⫖↰⪸95=⫖↰⪸57","layer":2},{"info":"∷≠⫖↰⪸57=⫖↰⪸57","layer":1},{"info":"⫖↰⪸1095⪒⊣⊆⫖↰⪸737=⫖↰⪸216A","layer":3},{"info":"⫖↰⪸B19∖⫖↰⪸946=⫖↰⪸0","layer":3},{"info":"⫖↰⪸216A⨿⫖↰⪸0=⫖↰⪸-227","layer":2},{"info":"⩰⫖↰⪸-227=⫖↰⪸-489","layer":1},{"info":"⫖↰⪸57⩘⫖↰⪸-489=⫖↰⪸114","layer":0}]}
{"id":517,"expression_no_base_symbol":"((($3311$⫥∨⫟$6669$)⊴⇁⪶)⪔($2740$⋐⇩⊬)∳⫺($1513$⇤$1881$))≄⊠((⩏⊷≩$4796$≁↽≥$6968$)⩚⊴⇥$1421$∥⊢⊲$1166$⪭($1164$∙⊟$2839$))","expression":"(((⫖↰⪸1ABB⫥∨⫟⫖↰⪸3A39)⊴⇁⪶)⪔(⫖↰⪸1704⋐⇩⊬)∳⫺(⫖↰⪸A61⇤⫖↰⪸1109))≄⊠((⩏⊷≩⫖↰⪸2938≁↽≥⫖↰⪸4048)⩚⊴⇥⫖↰⪸9A5∥⊢⊲⫖↰⪸812⪭(⫖↰⪸810∙⊟⫖↰⪸1787))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2058,"operation_count":13,"complexity_ratio":158.30769230769232,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3311,"base":12},"right_expr":{"type":"numeric_atoms","value":6669,"base":12}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2740,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1513,"base":12},"right_expr":{"type":"numeric_atoms","value":1881,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4796,"base":12},"right_expr":{"type":"numeric_atoms","value":6968,"base":12}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1421,"base":12},"right_expr":{"type":"numeric_atoms","value":1166,"base":12}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1164,"base":12},"right_expr":{"type":"numeric_atoms","value":2839,"base":12}}}}},"used_operators":["vXNesLlMH1","GjBEYRfMaF","oo9mF6JIpo","KYD54nUTWz","AzXXKTstlj","JuuLT1NoCs","YSKBFp38Pu","NTOWxs364D","uOZ1tnYMDE","ncHt1X6cMc","j9kHMeSvPp","v1UQAVDJRr","SxTAKzQCrw"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","8HhzD0ZcuI","rGHVDoGpnC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","oWn0xqSxBt","3Oe9XWJUTD","COABgblf1C","xUOZtlo3hN","EBcxylXtPf","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⫖↰⪸A50","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3311","layer":4},{"info":"number node, value=6669","layer":4},{"info":"compute binary expreesion, left_input=3311, right_input=6669, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":2},{"info":"number node, value=2740","layer":4},{"info":"compute unary expreesion, input=2740, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2740","layer":3},{"info":"number node, value=1513","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=1881, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-14122","layer":3},{"info":"compute binary expreesion, left_input=2740, right_input=-14122, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=4796","layer":4},{"info":"number node, value=6968","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=6968, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=81872","layer":3},{"info":"compute unary expreesion, input=81872, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=163443","layer":2},{"info":"number node, value=1421","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1166, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2839, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24978","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=24978, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=163443, right_input=5, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-163569","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-163569, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1ABB⫥∨⫟⫖↰⪸3A39)⊴⇁⪶)⪔(⫖↰⪸1704⋐⇩⊬)∳⫺(⫖↰⪸A61⇤⫖↰⪸1109))≄⊠((⩏⊷≩⫖↰⪸2938≁↽≥⫖↰⪸4048)⩚⊴⇥⫖↰⪸9A5∥⊢⊲⫖↰⪸812⪭(⫖↰⪸810∙⊟⫖↰⪸1787))=⫖↰⪸A50","reverse_text":"⫖↰⪸A50=(((⫖↰⪸1ABB⫥∨⫟⫖↰⪸3A39)⊴⇁⪶)⪔(⫖↰⪸1704⋐⇩⊬)∳⫺(⫖↰⪸A61⇤⫖↰⪸1109))≄⊠((⩏⊷≩⫖↰⪸2938≁↽≥⫖↰⪸4048)⩚⊴⇥⫖↰⪸9A5∥⊢⊲⫖↰⪸812⪭(⫖↰⪸810∙⊟⫖↰⪸1787))","cot":[{"info":"⫖↰⪸1ABB⫥∨⫟⫖↰⪸3A39=NaN","layer":3},{"info":"NaN⊴⇁⪶=NaN","layer":2},{"info":"⫖↰⪸1704⋐⇩⊬=⫖↰⪸1704","layer":3},{"info":"⫖↰⪸A61⇤⫖↰⪸1109=⫖↰⪸-820A","layer":3},{"info":"⫖↰⪸1704∳⫺⫖↰⪸-820A=⫖↰⪸-198","layer":2},{"info":"NaN⪔⫖↰⪸-198=NaN","layer":1},{"info":"⫖↰⪸2938≁↽≥⫖↰⪸4048=⫖↰⪸3B468","layer":3},{"info":"⩏⊷≩⫖↰⪸3B468=⫖↰⪸7A703","layer":2},{"info":"⫖↰⪸9A5∥⊢⊲⫖↰⪸812=NaN","layer":3},{"info":"⫖↰⪸810∙⊟⫖↰⪸1787=⫖↰⪸12556","layer":3},{"info":"NaN⪭⫖↰⪸12556=⫖↰⪸5","layer":2},{"info":"⫖↰⪸7A703⩚⊴⇥⫖↰⪸5=⫖↰⪸-7A7A9","layer":1},{"info":"NaN≄⊠⫖↰⪸-7A7A9=⫖↰⪸A50","layer":0}]}
{"id":518,"expression_no_base_symbol":"⪫⨮⊛((($1515$⪔$2069$)⇤($1399$↰))⫞⩸⩒(↸⊣($1513$∵≐)))","expression":"⪫⨮⊛(((⫖↰⪸A63⪔⫖↰⪸1245)⇤(⫖↰⪸987↰))⫞⩸⩒(↸⊣(⫖↰⪸A61∵≐)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":123507,"operation_count":7,"complexity_ratio":17643.85714285714,"tree":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1515,"base":12},"right_expr":{"type":"numeric_atoms","value":2069,"base":12}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1399,"base":12}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":1513,"base":12}}}}},"used_operators":["w5FWba1tyO","XGcMNugi78","YSKBFp38Pu","GjBEYRfMaF","bl5wxAcryP","wztAlM01eG","59igzFyhWz"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","nCS4ZIUYfx","Z2TMIBDE3Q","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=2069, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1298","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=1298, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-5892","layer":2},{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=567","layer":3},{"info":"compute unary expreesion, input=567, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-280","layer":2},{"info":"compute binary expreesion, left_input=-5892, right_input=-280, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-5892","layer":1},{"info":"compute unary expreesion, input=-5892, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪫⨮⊛(((⫖↰⪸A63⪔⫖↰⪸1245)⇤(⫖↰⪸987↰))⫞⩸⩒(↸⊣(⫖↰⪸A61∵≐)))=NaN","reverse_text":"NaN=⪫⨮⊛(((⫖↰⪸A63⪔⫖↰⪸1245)⇤(⫖↰⪸987↰))⫞⩸⩒(↸⊣(⫖↰⪸A61∵≐)))","cot":[{"info":"⫖↰⪸A63⪔⫖↰⪸1245=⫖↰⪸316","layer":3},{"info":"⫖↰⪸987↰=⫖↰⪸902","layer":3},{"info":"⫖↰⪸316⇤⫖↰⪸902=⫖↰⪸-34B0","layer":2},{"info":"⫖↰⪸A61∵≐=⫖↰⪸3B3","layer":3},{"info":"↸⊣⫖↰⪸3B3=⫖↰⪸-1B4","layer":2},{"info":"⫖↰⪸-34B0⫞⩸⩒⫖↰⪸-1B4=⫖↰⪸-34B0","layer":1},{"info":"⪫⨮⊛⫖↰⪸-34B0=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"(($1318$⇆⨓≜)↼⊘⨖($5818$⋭≵$3358$)⋖∅⋲)⊢((($1720$⩁⩘$1994$)⇪⋭)↪⪝)","expression":"((⫖↰⪸91A⇆⨓≜)↼⊘⨖(⫖↰⪸344A⋭≵⫖↰⪸1B3A)⋖∅⋲)⊢(((⫖↰⪸BB4⩁⩘⫖↰⪸11A2)⇪⋭)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":310,"operation_count":8,"complexity_ratio":38.75,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1318,"base":12}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5818,"base":12},"right_expr":{"type":"numeric_atoms","value":3358,"base":12}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1720,"base":12},"right_expr":{"type":"numeric_atoms","value":1994,"base":12}}}}},"used_operators":["5twsqlHp2o","L95AwlJzhO","bPywburJMS","KvvgdUaMHJ","jBncVCNhdl","l07mrZUIn9","Z8Yg6dlDSp","gub5Cegaqo"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Uaa54Peajs","KYD54nUTWz","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","DpFCA1CohY","IWmyXbctLI"],"result":"⫖↰⪸-184","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=5818","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=5818, right_input=3358, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-88","layer":2},{"info":"compute unary expreesion, input=-88, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":1},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1994, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8924","layer":3},{"info":"compute unary expreesion, input=8924, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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=-244","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸91A⇆⨓≜)↼⊘⨖(⫖↰⪸344A⋭≵⫖↰⪸1B3A)⋖∅⋲)⊢(((⫖↰⪸BB4⩁⩘⫖↰⪸11A2)⇪⋭)↪⪝)=⫖↰⪸-184","reverse_text":"⫖↰⪸-184=((⫖↰⪸91A⇆⨓≜)↼⊘⨖(⫖↰⪸344A⋭≵⫖↰⪸1B3A)⋖∅⋲)⊢(((⫖↰⪸BB4⩁⩘⫖↰⪸11A2)⇪⋭)↪⪝)","cot":[{"info":"⫖↰⪸91A⇆⨓≜=NaN","layer":3},{"info":"⫖↰⪸344A⋭≵⫖↰⪸1B3A=⫖↰⪸57","layer":3},{"info":"NaN↼⊘⨖⫖↰⪸57=⫖↰⪸-74","layer":2},{"info":"⫖↰⪸-74⋖∅⋲=⫖↰⪸0","layer":1},{"info":"⫖↰⪸BB4⩁⩘⫖↰⪸11A2=⫖↰⪸51B8","layer":3},{"info":"⫖↰⪸51B8⇪⋭=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⫖↰⪸0⊢NaN=⫖↰⪸-184","layer":0}]}
{"id":520,"expression_no_base_symbol":"⪭⩑⪱(($1058$∙⊟$1162$⋻⩜⩜$1622$⨑⩅≇$1371$)≒∊((⇖$5055$)⊬⫿⊭))","expression":"⪭⩑⪱((⫖↰⪸742∙⊟⫖↰⪸80A⋻⩜⩜⫖↰⪸B32⨑⩅≇⫖↰⪸963)≒∊((⇖⫖↰⪸2B13)⊬⫿⊭))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":214082,"operation_count":7,"complexity_ratio":30583.14285714286,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1058,"base":12},"right_expr":{"type":"numeric_atoms","value":1162,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1622,"base":12},"right_expr":{"type":"numeric_atoms","value":1371,"base":12}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":5055,"base":12}}}}},"used_operators":["SIgE0bArFf","5KTvxBwnZo","oDCm7WA9JY","SxTAKzQCrw","h92wMvzauj","v0DYgG9ikt","tfWHHpNKUN"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl"],"result":"⫖↰⪸2953300","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1162, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23600","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=1371, 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=-4866","layer":3},{"info":"compute binary expreesion, left_input=23600, right_input=-4866, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=47200","layer":2},{"info":"number node, value=5055","layer":4},{"info":"compute unary expreesion, input=5055, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=47200, right_input=-480, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-46716","layer":1},{"info":"compute unary expreesion, input=-46716, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":12,"result_base":12,"text":"⪭⩑⪱((⫖↰⪸742∙⊟⫖↰⪸80A⋻⩜⩜⫖↰⪸B32⨑⩅≇⫖↰⪸963)≒∊((⇖⫖↰⪸2B13)⊬⫿⊭))=⫖↰⪸2953300","reverse_text":"⫖↰⪸2953300=⪭⩑⪱((⫖↰⪸742∙⊟⫖↰⪸80A⋻⩜⩜⫖↰⪸B32⨑⩅≇⫖↰⪸963)≒∊((⇖⫖↰⪸2B13)⊬⫿⊭))","cot":[{"info":"⫖↰⪸742∙⊟⫖↰⪸80A=⫖↰⪸117A8","layer":3},{"info":"⫖↰⪸B32⨑⩅≇⫖↰⪸963=⫖↰⪸-2996","layer":3},{"info":"⫖↰⪸117A8⋻⩜⩜⫖↰⪸-2996=⫖↰⪸23394","layer":2},{"info":"⇖⫖↰⪸2B13=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⊬⫿⊭=⫖↰⪸-340","layer":2},{"info":"⫖↰⪸23394≒∊⫖↰⪸-340=⫖↰⪸-23050","layer":1},{"info":"⪭⩑⪱⫖↰⪸-23050=⫖↰⪸2953300","layer":0}]}
{"id":521,"expression_no_base_symbol":"⇨($2374$⪕$3932$⫳≱↱$2819$⨰$1122$)≎⪠(($1450$⋻⩜⩜$2590$)≳⇉($7749$⪇≇⋚$2448$))","expression":"⇨(⫖↰⪸145A⪕⫖↰⪸2338⫳≱↱⫖↰⪸176B⨰⫖↰⪸796)≎⪠((⫖↰⪸A0A⋻⩜⩜⫖↰⪸15BA)≳⇉(⫖↰⪸4599⪇≇⋚⫖↰⪸1500))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":55770,"operation_count":8,"complexity_ratio":6971.25,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2374,"base":12},"right_expr":{"type":"numeric_atoms","value":3932,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2819,"base":12},"right_expr":{"type":"numeric_atoms","value":1122,"base":12}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1450,"base":12},"right_expr":{"type":"numeric_atoms","value":2590,"base":12}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":7749,"base":12},"right_expr":{"type":"numeric_atoms","value":2448,"base":12}}}}},"used_operators":["G9tJMlZ94a","aNhz54LH3e","ZvLB05nZmT","umQnsF7QlU","eewbuw0ToL","V0kx6qeWkN","oDCm7WA9JY","3sJ7IOPOlU"],"dependent_operators":["k8jYdgA6NY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2374","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=3932, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1717","layer":3},{"info":"number node, value=2819","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=1122, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1707","layer":3},{"info":"compute binary expreesion, left_input=1717, right_input=1707, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1450","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=2590, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2900","layer":3},{"info":"number node, value=7749","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=7749, right_input=2448, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2900, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute unary expreesion, input=19558, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⇨(⫖↰⪸145A⪕⫖↰⪸2338⫳≱↱⫖↰⪸176B⨰⫖↰⪸796)≎⪠((⫖↰⪸A0A⋻⩜⩜⫖↰⪸15BA)≳⇉(⫖↰⪸4599⪇≇⋚⫖↰⪸1500))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⇨(⫖↰⪸145A⪕⫖↰⪸2338⫳≱↱⫖↰⪸176B⨰⫖↰⪸796)≎⪠((⫖↰⪸A0A⋻⩜⩜⫖↰⪸15BA)≳⇉(⫖↰⪸4599⪇≇⋚⫖↰⪸1500))","cot":[{"info":"⫖↰⪸145A⪕⫖↰⪸2338=⫖↰⪸BB1","layer":3},{"info":"⫖↰⪸176B⨰⫖↰⪸796=⫖↰⪸BA3","layer":3},{"info":"⫖↰⪸BB1⫳≱↱⫖↰⪸BA3=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸A0A⋻⩜⩜⫖↰⪸15BA=⫖↰⪸1818","layer":3},{"info":"⫖↰⪸4599⪇≇⋚⫖↰⪸1500=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1818≳⇉⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-150≎⪠⫖↰⪸0=⫖↰⪸B39A","layer":1},{"info":"⇨⫖↰⪸B39A=⫖↰⪸0","layer":0}]}
{"id":522,"expression_no_base_symbol":"≸($2449$⨚$1149$)⋛($2135$∖$1275$)⨟⋌⩍($1063$⇼⇔∾$5568$)⫞⩸⩒($1868$⇄$2400$)","expression":"≸(⫖↰⪸1501⨚⫖↰⪸7B9)⋛(⫖↰⪸129B∖⫖↰⪸8A3)⨟⋌⩍(⫖↰⪸747⇼⇔∾⫖↰⪸3280)⫞⩸⩒(⫖↰⪸10B8⇄⫖↰⪸1480)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":629,"operation_count":8,"complexity_ratio":78.625,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2449,"base":12},"right_expr":{"type":"numeric_atoms","value":1149,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2135,"base":12},"right_expr":{"type":"numeric_atoms","value":1275,"base":12}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1063,"base":12},"right_expr":{"type":"numeric_atoms","value":5568,"base":12}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1868,"base":12},"right_expr":{"type":"numeric_atoms","value":2400,"base":12}}}}},"used_operators":["eOf03JbCpp","rGHVDoGpnC","YbUVn0Rbpy","nREPSIbpBE","tXD093vOjl","XGcMNugi78","tifHPKVTfV","3EYGwJThht"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","Tcnh7f0tEr","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2449","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=1149, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1236","layer":3},{"info":"number node, value=2135","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=1275, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1236, right_input=0, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-121068","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=5568","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=5568, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4505","layer":3},{"info":"number node, value=1868","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=2400, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4505, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4505","layer":2},{"info":"compute binary expreesion, left_input=-121068, right_input=4505, 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 = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≸(⫖↰⪸1501⨚⫖↰⪸7B9)⋛(⫖↰⪸129B∖⫖↰⪸8A3)⨟⋌⩍(⫖↰⪸747⇼⇔∾⫖↰⪸3280)⫞⩸⩒(⫖↰⪸10B8⇄⫖↰⪸1480)=NaN","reverse_text":"NaN=≸(⫖↰⪸1501⨚⫖↰⪸7B9)⋛(⫖↰⪸129B∖⫖↰⪸8A3)⨟⋌⩍(⫖↰⪸747⇼⇔∾⫖↰⪸3280)⫞⩸⩒(⫖↰⪸10B8⇄⫖↰⪸1480)","cot":[{"info":"⫖↰⪸1501⨚⫖↰⪸7B9=⫖↰⪸870","layer":3},{"info":"⫖↰⪸129B∖⫖↰⪸8A3=⫖↰⪸0","layer":3},{"info":"⫖↰⪸870⋛⫖↰⪸0=⫖↰⪸-5A090","layer":2},{"info":"⫖↰⪸747⇼⇔∾⫖↰⪸3280=⫖↰⪸2735","layer":3},{"info":"⫖↰⪸10B8⇄⫖↰⪸1480=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2735⫞⩸⩒⫖↰⪸0=⫖↰⪸2735","layer":2},{"info":"⫖↰⪸-5A090⨟⋌⩍⫖↰⪸2735=NaN","layer":1},{"info":"≸NaN=NaN","layer":0}]}
{"id":523,"expression_no_base_symbol":"($2278$⪪$1845$∴≳≥)↢($1548$⨚$3328$∕⩚(⇠$5579$))⨟⋌⩍(⨆≐≲(⊿$1936$⩒⫫$1110$))","expression":"(⫖↰⪸139A⪪⫖↰⪸1099∴≳≥)↢(⫖↰⪸A90⨚⫖↰⪸1B14∕⩚(⇠⫖↰⪸328B))⨟⋌⩍(⨆≐≲(⊿⫖↰⪸1154⩒⫫⫖↰⪸786))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7188,"operation_count":10,"complexity_ratio":718.8,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2278,"base":12},"right_expr":{"type":"numeric_atoms","value":1845,"base":12}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1548,"base":12},"right_expr":{"type":"numeric_atoms","value":3328,"base":12}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":5579,"base":12}}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1936,"base":12},"right_expr":{"type":"numeric_atoms","value":1110,"base":12}}}}},"used_operators":["rGHVDoGpnC","WR6HLWljOP","a3N2hFLK0J","xD69zh8xqp","z9ffQ9n5Zr","nREPSIbpBE","18saOjeKKm","Bi9z9uYZqW","DO4fhlbJSI","KFSx94NKJn"],"dependent_operators":["Tcnh7f0tEr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","FU0Cs4j7VP","JclMnS0uGI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","BjRHVeLaeN","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2278","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=1845, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-340067","layer":3},{"info":"compute unary expreesion, input=-340067, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-1360268","layer":2},{"info":"number node, value=1548","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=3328, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-9282","layer":3},{"info":"number node, value=5579","layer":4},{"info":"compute unary expreesion, input=5579, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-5337","layer":3},{"info":"compute binary expreesion, left_input=-9282, right_input=-5337, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=-1360268, right_input=-487, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-2721510","layer":1},{"info":"number node, value=1936","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1110, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1634","layer":3},{"info":"compute unary expreesion, input=1634, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-7274","layer":2},{"info":"compute unary expreesion, input=-7274, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"compute binary expreesion, left_input=-2721510, right_input=-168548, 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":12,"result_base":12,"text":"(⫖↰⪸139A⪪⫖↰⪸1099∴≳≥)↢(⫖↰⪸A90⨚⫖↰⪸1B14∕⩚(⇠⫖↰⪸328B))⨟⋌⩍(⨆≐≲(⊿⫖↰⪸1154⩒⫫⫖↰⪸786))=NaN","reverse_text":"NaN=(⫖↰⪸139A⪪⫖↰⪸1099∴≳≥)↢(⫖↰⪸A90⨚⫖↰⪸1B14∕⩚(⇠⫖↰⪸328B))⨟⋌⩍(⨆≐≲(⊿⫖↰⪸1154⩒⫫⫖↰⪸786))","cot":[{"info":"⫖↰⪸139A⪪⫖↰⪸1099=⫖↰⪸-14496B","layer":3},{"info":"⫖↰⪸-14496B∴≳≥=⫖↰⪸-557238","layer":2},{"info":"⫖↰⪸A90⨚⫖↰⪸1B14=⫖↰⪸-5456","layer":3},{"info":"⇠⫖↰⪸328B=⫖↰⪸-3109","layer":3},{"info":"⫖↰⪸-5456∕⩚⫖↰⪸-3109=⫖↰⪸-347","layer":2},{"info":"⫖↰⪸-557238↢⫖↰⪸-347=⫖↰⪸-AB2B46","layer":1},{"info":"⫖↰⪸1154⩒⫫⫖↰⪸786=⫖↰⪸B42","layer":3},{"info":"⊿⫖↰⪸B42=⫖↰⪸-4262","layer":2},{"info":"⨆≐≲⫖↰⪸-4262=⫖↰⪸-81658","layer":1},{"info":"⫖↰⪸-AB2B46⨟⋌⩍⫖↰⪸-81658=NaN","layer":0}]}
{"id":524,"expression_no_base_symbol":"($1060$⩼⇪↪$8111$⨵⪆($3474$∸))⪇≇⋚($6725$∖$3859$⪨≂(⪝⪂⫅$6776$))*$1088$⩁⩘$1053$⨓($2342$≧⫂∧$5978$)≓∲($3176$⫳≱↱$2908$)⫗⊷⫓($1218$⫘$2932$)","expression":"(⫖↰⪸744⩼⇪↪⫖↰⪸483B⨵⪆(⫖↰⪸2016∸))⪇≇⋚(⫖↰⪸3A85∖⫖↰⪸2297⪨≂(⪝⪂⫅⫖↰⪸3B08))*⫖↰⪸768⩁⩘⫖↰⪸739⨓(⫖↰⪸1432≧⫂∧⫖↰⪸3562)≓∲(⫖↰⪸1A08⫳≱↱⫖↰⪸1824)⫗⊷⫓(⫖↰⪸856⫘⫖↰⪸1844)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16067,"operation_count":15,"complexity_ratio":1071.1333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1060,"base":12},"right_expr":{"type":"numeric_atoms","value":8111,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3474,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6725,"base":12},"right_expr":{"type":"numeric_atoms","value":3859,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6776,"base":12}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1088,"base":12},"right_expr":{"type":"numeric_atoms","value":1053,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2342,"base":12},"right_expr":{"type":"numeric_atoms","value":5978,"base":12}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3176,"base":12},"right_expr":{"type":"numeric_atoms","value":2908,"base":12}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1218,"base":12},"right_expr":{"type":"numeric_atoms","value":2932,"base":12}}}}},"used_operators":["9HNa5Wba9A","3sJ7IOPOlU","2DQ55sFlQl","ocnLzx9CaJ","o20kRiQErp","sdazOOVcIp","tXD093vOjl","XTarYq4gQB","s1XTVnmDOJ","3ViojmjbAp","gub5Cegaqo","Ph9nP6C5qx","zashukvMKz","ZvLB05nZmT","48vC8HMD2b"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9HNa5Wba9A","8w2t5hMYqp","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1060","layer":4},{"info":"number node, value=8111","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=8111, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-55440","layer":3},{"info":"number node, value=3474","layer":4},{"info":"compute unary expreesion, input=3474, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-55440, right_input=177, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6725","layer":4},{"info":"number node, value=3859","layer":4},{"info":"compute binary expreesion, left_input=6725, right_input=3859, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=6776","layer":4},{"info":"compute unary expreesion, input=6776, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-996072","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-996072, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1992246","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1992246, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1088","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1053, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5160","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=5978","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=5978, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5505","layer":3},{"info":"compute binary expreesion, left_input=5160, right_input=5505, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5508","layer":2},{"info":"number node, value=3176","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=3176, right_input=2908, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=2932, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1436773","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=1436773, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-5508, right_input=-134, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸744⩼⇪↪⫖↰⪸483B⨵⪆(⫖↰⪸2016∸))⪇≇⋚(⫖↰⪸3A85∖⫖↰⪸2297⪨≂(⪝⪂⫅⫖↰⪸3B08))*⫖↰⪸768⩁⩘⫖↰⪸739⨓(⫖↰⪸1432≧⫂∧⫖↰⪸3562)≓∲(⫖↰⪸1A08⫳≱↱⫖↰⪸1824)⫗⊷⫓(⫖↰⪸856⫘⫖↰⪸1844)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸744⩼⇪↪⫖↰⪸483B⨵⪆(⫖↰⪸2016∸))⪇≇⋚(⫖↰⪸3A85∖⫖↰⪸2297⪨≂(⪝⪂⫅⫖↰⪸3B08))*⫖↰⪸768⩁⩘⫖↰⪸739⨓(⫖↰⪸1432≧⫂∧⫖↰⪸3562)≓∲(⫖↰⪸1A08⫳≱↱⫖↰⪸1824)⫗⊷⫓(⫖↰⪸856⫘⫖↰⪸1844)","cot":[{"info":"⫖↰⪸744⩼⇪↪⫖↰⪸483B=⫖↰⪸-28100","layer":3},{"info":"⫖↰⪸2016∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸-28100⨵⪆⫖↰⪸129=⫖↰⪸114","layer":2},{"info":"⫖↰⪸3A85∖⫖↰⪸2297=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸3B08=⫖↰⪸-400520","layer":3},{"info":"⫖↰⪸0⪨≂⫖↰⪸-400520=⫖↰⪸800B06","layer":2},{"info":"⫖↰⪸114⪇≇⋚⫖↰⪸800B06=⫖↰⪸0","layer":1},{"info":"⫖↰⪸768⩁⩘⫖↰⪸739=⫖↰⪸2BA0","layer":3},{"info":"⫖↰⪸1432≧⫂∧⫖↰⪸3562=⫖↰⪸3229","layer":3},{"info":"⫖↰⪸2BA0⨓⫖↰⪸3229=⫖↰⪸-3230","layer":2},{"info":"⫖↰⪸1A08⫳≱↱⫖↰⪸1824=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸856⫘⫖↰⪸1844=⫖↰⪸593571","layer":3},{"info":"⫖↰⪸-150⫗⊷⫓⫖↰⪸593571=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸-3230≓∲⫖↰⪸-B2=⫖↰⪸57","layer":1},{"info":"⫖↰⪸0*⫖↰⪸57=⫖↰⪸0","layer":0}]}
{"id":525,"expression_no_base_symbol":"(($1953$⇣⩺⋵$1068$)↹⊜($1685$⇄$1279$)↡⊰⫅(∥⊫$4764$)⪪$6533$⫁$7239$)≳⇉((⫵↿$5501$⊉↱≁$3760$)⩵∡(∮$1378$)⨔≚≋$5971$⩖⊿$5807$)","expression":"((⫖↰⪸1169⇣⩺⋵⫖↰⪸750)↹⊜(⫖↰⪸B85⇄⫖↰⪸8A7)↡⊰⫅(∥⊫⫖↰⪸2910)⪪⫖↰⪸3945⫁⫖↰⪸4233)≳⇉((⫵↿⫖↰⪸3225⊉↱≁⫖↰⪸2214)⩵∡(∮⫖↰⪸96A)⨔≚≋⫖↰⪸3557⩖⊿⫖↰⪸343B)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":202046,"operation_count":14,"complexity_ratio":14431.857142857143,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1953,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1685,"base":12},"right_expr":{"type":"numeric_atoms","value":1279,"base":12}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4764,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6533,"base":12},"right_expr":{"type":"numeric_atoms","value":7239,"base":12}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":5501,"base":12},"right_expr":{"type":"numeric_atoms","value":3760,"base":12}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1378,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5971,"base":12},"right_expr":{"type":"numeric_atoms","value":5807,"base":12}}}}},"used_operators":["V0kx6qeWkN","VCtxkLNOzz","9bazX3JMtO","F4yD0voBRQ","3EYGwJThht","xD69zh8xqp","P8v4zCKN1o","0ajvFaJAv0","Y7wcNGrDQJ","ivGwdmUAux","w2P8NbNXyL","Z57zeUYC9z","CqXKPLVYql","RZ5CV9rWsJ"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","glklzrTFfD","tifHPKVTfV","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1953","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=1068, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=1279, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-96","layer":2},{"info":"number node, value=4764","layer":4},{"info":"compute unary expreesion, input=4764, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5632","layer":3},{"info":"number node, value=6533","layer":4},{"info":"number node, value=7239","layer":4},{"info":"compute binary expreesion, left_input=6533, right_input=7239, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5632, right_input=160, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-846521","layer":2},{"info":"compute binary expreesion, left_input=-96, right_input=-846521, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=5501","layer":4},{"info":"number node, value=3760","layer":4},{"info":"compute binary expreesion, left_input=5501, right_input=3760, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=32398","layer":3},{"info":"compute unary expreesion, input=32398, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=5971","layer":4},{"info":"number node, value=5807","layer":4},{"info":"compute binary expreesion, left_input=5971, right_input=5807, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=22490","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=22490, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-183752","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=-183752, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-184147","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-184147, 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":12,"result_base":12,"text":"((⫖↰⪸1169⇣⩺⋵⫖↰⪸750)↹⊜(⫖↰⪸B85⇄⫖↰⪸8A7)↡⊰⫅(∥⊫⫖↰⪸2910)⪪⫖↰⪸3945⫁⫖↰⪸4233)≳⇉((⫵↿⫖↰⪸3225⊉↱≁⫖↰⪸2214)⩵∡(∮⫖↰⪸96A)⨔≚≋⫖↰⪸3557⩖⊿⫖↰⪸343B)=NaN","reverse_text":"NaN=((⫖↰⪸1169⇣⩺⋵⫖↰⪸750)↹⊜(⫖↰⪸B85⇄⫖↰⪸8A7)↡⊰⫅(∥⊫⫖↰⪸2910)⪪⫖↰⪸3945⫁⫖↰⪸4233)≳⇉((⫵↿⫖↰⪸3225⊉↱≁⫖↰⪸2214)⩵∡(∮⫖↰⪸96A)⨔≚≋⫖↰⪸3557⩖⊿⫖↰⪸343B)","cot":[{"info":"⫖↰⪸1169⇣⩺⋵⫖↰⪸750=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸B85⇄⫖↰⪸8A7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-198↹⊜⫖↰⪸0=⫖↰⪸-80","layer":2},{"info":"∥⊫⫖↰⪸2910=⫖↰⪸3314","layer":3},{"info":"⫖↰⪸3945⫁⫖↰⪸4233=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3314⪪⫖↰⪸114=⫖↰⪸-349A75","layer":2},{"info":"⫖↰⪸-80↡⊰⫅⫖↰⪸-349A75=NaN","layer":1},{"info":"⫖↰⪸3225⊉↱≁⫖↰⪸2214=⫖↰⪸168BA","layer":3},{"info":"⫵↿⫖↰⪸168BA=⫖↰⪸B5","layer":2},{"info":"∮⫖↰⪸96A=⫖↰⪸57","layer":3},{"info":"⫖↰⪸3557⩖⊿⫖↰⪸343B=⫖↰⪸11022","layer":3},{"info":"⫖↰⪸57⨔≚≋⫖↰⪸11022=⫖↰⪸-8A408","layer":2},{"info":"⫖↰⪸B5⩵∡⫖↰⪸-8A408=⫖↰⪸-8A697","layer":1},{"info":"NaN≳⇉⫖↰⪸-8A697=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"(↓⇌(≋(⋠∜$2579$)))⫯⪬∳(⪛⨧($2473$↳≱$3099$≓∲($3849$⇡)))","expression":"(↓⇌(≋(⋠∜⫖↰⪸15AB)))⫯⪬∳(⪛⨧(⫖↰⪸1521↳≱⫖↰⪸1963≓∲(⫖↰⪸2289⇡)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":239,"operation_count":8,"complexity_ratio":29.875,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2579,"base":12}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2473,"base":12},"right_expr":{"type":"numeric_atoms","value":3099,"base":12}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":3849,"base":12}}}}},"used_operators":["d7ASUq0ydm","PxpmPgHHJV","61wBmkZwlr","ZJpFhNJr3x","6NJAcO2OWT","s1XTVnmDOJ","JwTKLfZU96","UqFzSgLMvQ"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","7j4O788W3g","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu"],"result":"⫖↰⪸-54472","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2579","layer":4},{"info":"compute unary expreesion, input=2579, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=12600","layer":3},{"info":"compute unary expreesion, input=12600, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=12600","layer":2},{"info":"compute unary expreesion, input=12600, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=12600","layer":1},{"info":"number node, value=2473","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=3099, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3849","layer":4},{"info":"compute unary expreesion, input=3849, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2917, 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=86443","layer":2},{"info":"compute unary expreesion, input=86443, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=174287","layer":1},{"info":"compute binary expreesion, left_input=12600, right_input=174287, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-111254","layer":0}],"base":12,"result_base":12,"text":"(↓⇌(≋(⋠∜⫖↰⪸15AB)))⫯⪬∳(⪛⨧(⫖↰⪸1521↳≱⫖↰⪸1963≓∲(⫖↰⪸2289⇡)))=⫖↰⪸-54472","reverse_text":"⫖↰⪸-54472=(↓⇌(≋(⋠∜⫖↰⪸15AB)))⫯⪬∳(⪛⨧(⫖↰⪸1521↳≱⫖↰⪸1963≓∲(⫖↰⪸2289⇡)))","cot":[{"info":"⋠∜⫖↰⪸15AB=⫖↰⪸7360","layer":3},{"info":"≋⫖↰⪸7360=⫖↰⪸7360","layer":2},{"info":"↓⇌⫖↰⪸7360=⫖↰⪸7360","layer":1},{"info":"⫖↰⪸1521↳≱⫖↰⪸1963=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2289⇡=⫖↰⪸-1831","layer":3},{"info":"⫖↰⪸0≓∲⫖↰⪸-1831=⫖↰⪸42037","layer":2},{"info":"⪛⨧⫖↰⪸42037=⫖↰⪸84A3B","layer":1},{"info":"⫖↰⪸7360⫯⪬∳⫖↰⪸84A3B=⫖↰⪸-54472","layer":0}]}
{"id":527,"expression_no_base_symbol":"($1127$*$8054$↱$3845$∑⇟⊟$4275$)⪨⊡($1546$⨫⇇↔$6030$⫩)⋳⪒(($2043$∥⊢⊲$2745$)≝⊿($1044$∙∹∝$1040$))⪃⊛⇣($5953$⫘$7363$⪶≀⋏($1787$⋻⩜⩜$1245$))","expression":"(⫖↰⪸79B*⫖↰⪸47B2↱⫖↰⪸2285∑⇟⊟⫖↰⪸2583)⪨⊡(⫖↰⪸A8A⨫⇇↔⫖↰⪸35A6⫩)⋳⪒((⫖↰⪸1223∥⊢⊲⫖↰⪸1709)≝⊿(⫖↰⪸730∙∹∝⫖↰⪸728))⪃⊛⇣(⫖↰⪸3541⫘⫖↰⪸4317⪶≀⋏(⫖↰⪸104B⋻⩜⩜⫖↰⪸879))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25955,"operation_count":14,"complexity_ratio":1853.9285714285713,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1127,"base":12},"right_expr":{"type":"numeric_atoms","value":8054,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3845,"base":12},"right_expr":{"type":"numeric_atoms","value":4275,"base":12}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1546,"base":12},"right_expr":{"type":"numeric_atoms","value":6030,"base":12}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2043,"base":12},"right_expr":{"type":"numeric_atoms","value":2745,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1044,"base":12},"right_expr":{"type":"numeric_atoms","value":1040,"base":12}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5953,"base":12},"right_expr":{"type":"numeric_atoms","value":7363,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1787,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}}}}},"used_operators":["12rbrZMWeM","kuIXHzHcAH","SR5kFfdi6N","9HNa5Wba9A","U7g4x0WXJJ","6aG7x05OhS","LXhwmt4mBO","rrgAzCduG9","OKKcZfAt5B","v1UQAVDJRr","HmxsFra2vL","zR4jO40bMj","48vC8HMD2b","oDCm7WA9JY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"number node, value=8054","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=8054, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9076858","layer":3},{"info":"number node, value=3845","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=3845, right_input=4275, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9076858, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":2},{"info":"number node, value=1546","layer":4},{"info":"number node, value=6030","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=6030, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=2043","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=2745, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1040, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"number node, value=5953","layer":4},{"info":"number node, value=7363","layer":4},{"info":"compute binary expreesion, left_input=5953, right_input=7363, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7005133","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1245, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3574","layer":3},{"info":"compute binary expreesion, left_input=7005133, right_input=3574, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21022779","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21022779, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸79B*⫖↰⪸47B2↱⫖↰⪸2285∑⇟⊟⫖↰⪸2583)⪨⊡(⫖↰⪸A8A⨫⇇↔⫖↰⪸35A6⫩)⋳⪒((⫖↰⪸1223∥⊢⊲⫖↰⪸1709)≝⊿(⫖↰⪸730∙∹∝⫖↰⪸728))⪃⊛⇣(⫖↰⪸3541⫘⫖↰⪸4317⪶≀⋏(⫖↰⪸104B⋻⩜⩜⫖↰⪸879))=NaN","reverse_text":"NaN=(⫖↰⪸79B*⫖↰⪸47B2↱⫖↰⪸2285∑⇟⊟⫖↰⪸2583)⪨⊡(⫖↰⪸A8A⨫⇇↔⫖↰⪸35A6⫩)⋳⪒((⫖↰⪸1223∥⊢⊲⫖↰⪸1709)≝⊿(⫖↰⪸730∙∹∝⫖↰⪸728))⪃⊛⇣(⫖↰⪸3541⫘⫖↰⪸4317⪶≀⋏(⫖↰⪸104B⋻⩜⩜⫖↰⪸879))","cot":[{"info":"⫖↰⪸79B*⫖↰⪸47B2=⫖↰⪸305898A","layer":3},{"info":"⫖↰⪸2285∑⇟⊟⫖↰⪸2583=NaN","layer":3},{"info":"⫖↰⪸305898A↱NaN=NaN","layer":2},{"info":"⫖↰⪸A8A⨫⇇↔⫖↰⪸35A6=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸-37B⫩=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"⫖↰⪸1223∥⊢⊲⫖↰⪸1709=NaN","layer":3},{"info":"⫖↰⪸730∙∹∝⫖↰⪸728=⫖↰⪸0","layer":3},{"info":"NaN≝⊿⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸3541⫘⫖↰⪸4317=⫖↰⪸2419A91","layer":3},{"info":"⫖↰⪸104B⋻⩜⩜⫖↰⪸879=⫖↰⪸209A","layer":3},{"info":"⫖↰⪸2419A91⪶≀⋏⫖↰⪸209A=⫖↰⪸-7059B63","layer":2},{"info":"NaN⪃⊛⇣⫖↰⪸-7059B63=⫖↰⪸86A","layer":1},{"info":"NaN⋳⪒⫖↰⪸86A=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"(($2554$↓⨍⋜)⨐$9713$⫁$4780$%($1376$∧)⪮%⊝($3935$⨫⇇↔$1922$))⪘⫢(⪸($5774$⨚⇆$6326$))⫣⪄⊒(↔(⨛$4309$))","expression":"((⫖↰⪸158A↓⨍⋜)⨐⫖↰⪸5755⫁⫖↰⪸2924%(⫖↰⪸968∧)⪮%⊝(⫖↰⪸233B⨫⇇↔⫖↰⪸1142))⪘⫢(⪸(⫖↰⪸3412⨚⇆⫖↰⪸37B2))⫣⪄⊒(↔(⨛⫖↰⪸25B1))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":40992,"operation_count":13,"complexity_ratio":3153.230769230769,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2554,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":9713,"base":12},"right_expr":{"type":"numeric_atoms","value":4780,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1376,"base":12}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3935,"base":12},"right_expr":{"type":"numeric_atoms","value":1922,"base":12}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5774,"base":12},"right_expr":{"type":"numeric_atoms","value":6326,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":4309,"base":12}}}}},"used_operators":["oacrs7FA3X","k8jYdgA6NY","Noe24qw2ks","3DVzLFNsE9","0ajvFaJAv0","IWmyXbctLI","z63VuFQld9","LXhwmt4mBO","RabNbG55vr","86A5ENbKR9","lwHaAYXP2r","ruOEQAzv1W","CoMdbyAt7R"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2554","layer":4},{"info":"compute unary expreesion, input=2554, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=9713","layer":4},{"info":"number node, value=4780","layer":4},{"info":"compute binary expreesion, left_input=9713, right_input=4780, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=160, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-13180","layer":2},{"info":"number node, value=1376","layer":4},{"info":"compute unary expreesion, input=1376, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=3935","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=3935, right_input=1922, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13180, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5774","layer":4},{"info":"number node, value=6326","layer":4},{"info":"compute binary expreesion, left_input=5774, right_input=6326, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=4309","layer":4},{"info":"compute unary expreesion, input=4309, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 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":12,"result_base":12,"text":"((⫖↰⪸158A↓⨍⋜)⨐⫖↰⪸5755⫁⫖↰⪸2924%(⫖↰⪸968∧)⪮%⊝(⫖↰⪸233B⨫⇇↔⫖↰⪸1142))⪘⫢(⪸(⫖↰⪸3412⨚⇆⫖↰⪸37B2))⫣⪄⊒(↔(⨛⫖↰⪸25B1))=NaN","reverse_text":"NaN=((⫖↰⪸158A↓⨍⋜)⨐⫖↰⪸5755⫁⫖↰⪸2924%(⫖↰⪸968∧)⪮%⊝(⫖↰⪸233B⨫⇇↔⫖↰⪸1142))⪘⫢(⪸(⫖↰⪸3412⨚⇆⫖↰⪸37B2))⫣⪄⊒(↔(⨛⫖↰⪸25B1))","cot":[{"info":"⫖↰⪸158A↓⨍⋜=⫖↰⪸3992","layer":3},{"info":"⫖↰⪸5755⫁⫖↰⪸2924=⫖↰⪸114","layer":3},{"info":"⫖↰⪸3992⨐⫖↰⪸114=⫖↰⪸-7764","layer":2},{"info":"⫖↰⪸968∧=NaN","layer":3},{"info":"⫖↰⪸233B⨫⇇↔⫖↰⪸1142=⫖↰⪸-37B","layer":3},{"info":"NaN⪮%⊝⫖↰⪸-37B=NaN","layer":2},{"info":"⫖↰⪸-7764%NaN=NaN","layer":1},{"info":"⫖↰⪸3412⨚⇆⫖↰⪸37B2=NaN","layer":3},{"info":"⪸NaN=NaN","layer":2},{"info":"⨛⫖↰⪸25B1=NaN","layer":3},{"info":"↔NaN=⫖↰⪸-B2","layer":2},{"info":"NaN⫣⪄⊒⫖↰⪸-B2=⫖↰⪸114","layer":1},{"info":"NaN⪘⫢⫖↰⪸114=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"(⨑⩽⪐$3652$)⇮⋭($1005$⫳≱↱$4686$)∕⩚((↥≼⋛$4582$)⫚⫇)⋷((⊈$2231$)⨐⩸⫘($1934$∛≔))⇍⊗($3268$⫚↹⊑$1078$)⫉⨲⊜$2322$∥⊢⊲$4166$","expression":"(⨑⩽⪐⫖↰⪸2144)⇮⋭(⫖↰⪸6B9⫳≱↱⫖↰⪸2866)∕⩚((↥≼⋛⫖↰⪸279A)⫚⫇)⋷((⊈⫖↰⪸135B)⨐⩸⫘(⫖↰⪸1152∛≔))⇍⊗(⫖↰⪸1A84⫚↹⊑⫖↰⪸75A)⫉⨲⊜⫖↰⪸1416∥⊢⊲⫖↰⪸24B2","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11045,"operation_count":14,"complexity_ratio":788.9285714285714,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3652,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":4686,"base":12}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":4582,"base":12}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2231,"base":12}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1934,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3268,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2322,"base":12},"right_expr":{"type":"numeric_atoms","value":4166,"base":12}}}}},"used_operators":["23Mk6UjR3U","z9ffQ9n5Zr","vkpjKywKVM","AF7qkfDlqP","ZvLB05nZmT","SdCjLnB6rR","x5lMkHmzsq","5uvYHDjeKN","fu6greOZ01","RHru8klgy8","mGnSCrte3L","WhqkvtTD3t","dfKe02y8D2","v1UQAVDJRr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","3ViojmjbAp","12rbrZMWeM","xUOZtlo3hN","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","eewbuw0ToL","zVYPLywUTj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC"],"result":"⫖↰⪸692","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3652","layer":4},{"info":"compute unary expreesion, input=3652, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3379","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=4686","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=4686, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-3379, right_input=-204, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=4582","layer":4},{"info":"compute unary expreesion, input=4582, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1694","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1694, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=2231","layer":4},{"info":"compute unary expreesion, input=2231, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2405","layer":3},{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-499905997","layer":3},{"info":"compute binary expreesion, left_input=-2405, right_input=-499905997, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3268","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=1078, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2322","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=4166, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=2050364","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2050364, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=-244, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=974","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐⫖↰⪸2144)⇮⋭(⫖↰⪸6B9⫳≱↱⫖↰⪸2866)∕⩚((↥≼⋛⫖↰⪸279A)⫚⫇)⋷((⊈⫖↰⪸135B)⨐⩸⫘(⫖↰⪸1152∛≔))⇍⊗(⫖↰⪸1A84⫚↹⊑⫖↰⪸75A)⫉⨲⊜⫖↰⪸1416∥⊢⊲⫖↰⪸24B2=⫖↰⪸692","reverse_text":"⫖↰⪸692=(⨑⩽⪐⫖↰⪸2144)⇮⋭(⫖↰⪸6B9⫳≱↱⫖↰⪸2866)∕⩚((↥≼⋛⫖↰⪸279A)⫚⫇)⋷((⊈⫖↰⪸135B)⨐⩸⫘(⫖↰⪸1152∛≔))⇍⊗(⫖↰⪸1A84⫚↹⊑⫖↰⪸75A)⫉⨲⊜⫖↰⪸1416∥⊢⊲⫖↰⪸24B2","cot":[{"info":"⨑⩽⪐⫖↰⪸2144=⫖↰⪸-1B57","layer":3},{"info":"⫖↰⪸6B9⫳≱↱⫖↰⪸2866=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸-1B57⇮⋭⫖↰⪸-150=⫖↰⪸57","layer":2},{"info":"↥≼⋛⫖↰⪸279A=⫖↰⪸-95","layer":3},{"info":"⫖↰⪸-95⫚⫇=⫖↰⪸-B92","layer":2},{"info":"⫖↰⪸57∕⩚⫖↰⪸-B92=⫖↰⪸-347","layer":1},{"info":"⊈⫖↰⪸135B=⫖↰⪸-1485","layer":3},{"info":"⫖↰⪸1152∛≔=⫖↰⪸-11B501551","layer":3},{"info":"⫖↰⪸-1485⨐⩸⫘⫖↰⪸-11B501551=NaN","layer":2},{"info":"⫖↰⪸1A84⫚↹⊑⫖↰⪸75A=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1416∥⊢⊲⫖↰⪸24B2=NaN","layer":3},{"info":"⫖↰⪸-313⫉⨲⊜NaN=⫖↰⪸82A678","layer":2},{"info":"NaN⇍⊗⫖↰⪸82A678=⫖↰⪸-184","layer":1},{"info":"⫖↰⪸-347⋷⫖↰⪸-184=⫖↰⪸692","layer":0}]}
{"id":530,"expression_no_base_symbol":"(≯(⊙↵-($5768$≬⋮$1044$)))⊹∫⫚($1174$⊀⩕)≚⊃≕($1988$∖$3911$)⩧⪆($9229$≦≮≮)⪮%⊝$1799$⫉⨲⊜$1063$","expression":"(≯(⊙↵-(⫖↰⪸3408≬⋮⫖↰⪸730)))⊹∫⫚(⫖↰⪸81A⊀⩕)≚⊃≕(⫖↰⪸1198∖⫖↰⪸231B)⩧⪆(⫖↰⪸5411≦≮≮)⪮%⊝⫖↰⪸105B⫉⨲⊜⫖↰⪸747","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2764,"operation_count":11,"complexity_ratio":251.27272727272728,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5768,"base":12},"right_expr":{"type":"numeric_atoms","value":1044,"base":12}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1174,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1988,"base":12},"right_expr":{"type":"numeric_atoms","value":3911,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":9229,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1799,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}}}},"used_operators":["uWAJUKEvyW","keWfFq85dY","oWn0xqSxBt","kbkesczE7y","Ikt5ks8PT7","Bmrmz2XGnR","r0FS3hW4cC","tXD093vOjl","IWmyXbctLI","D4vGDi5EA2","WhqkvtTD3t"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","g55IO6H4Gj","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rGHVDoGpnC","nhYeJWJD5X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5768","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=5768, right_input=1044, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=3911, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3496","layer":2},{"info":"number node, value=9229","layer":4},{"info":"compute unary expreesion, input=9229, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-27687","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=1063, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-27687, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3496, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≯(⊙↵-(⫖↰⪸3408≬⋮⫖↰⪸730)))⊹∫⫚(⫖↰⪸81A⊀⩕)≚⊃≕(⫖↰⪸1198∖⫖↰⪸231B)⩧⪆(⫖↰⪸5411≦≮≮)⪮%⊝⫖↰⪸105B⫉⨲⊜⫖↰⪸747=NaN","reverse_text":"NaN=(≯(⊙↵-(⫖↰⪸3408≬⋮⫖↰⪸730)))⊹∫⫚(⫖↰⪸81A⊀⩕)≚⊃≕(⫖↰⪸1198∖⫖↰⪸231B)⩧⪆(⫖↰⪸5411≦≮≮)⪮%⊝⫖↰⪸105B⫉⨲⊜⫖↰⪸747","cot":[{"info":"⫖↰⪸3408≬⋮⫖↰⪸730=⫖↰⪸604","layer":3},{"info":"⊙↵-⫖↰⪸604=⫖↰⪸-1","layer":2},{"info":"≯⫖↰⪸-1=⫖↰⪸0","layer":1},{"info":"⫖↰⪸81A⊀⩕=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1198∖⫖↰⪸231B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0≚⊃≕⫖↰⪸0=⫖↰⪸-2034","layer":2},{"info":"⫖↰⪸5411≦≮≮=⫖↰⪸-14033","layer":3},{"info":"⫖↰⪸105B⫉⨲⊜⫖↰⪸747=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-14033⪮%⊝⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-2034⩧⪆NaN=NaN","layer":1},{"info":"⫖↰⪸0⊹∫⫚NaN=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"((($1852$∀⇚≩$1737$)⩱)⩒⫫($1388$⪒$3213$)∑⇟⊟($1753$≀⩗∶$1080$))⋣⋖(($1832$⊱⇼⊻$4329$)∳⫺($3081$⫥∨⫟$4125$))⨐($2834$≁↽≥$2655$⨔≚≋(⊑$1349$))","expression":"(((⫖↰⪸10A4∀⇚≩⫖↰⪸1009)⩱)⩒⫫(⫖↰⪸978⪒⫖↰⪸1A39)∑⇟⊟(⫖↰⪸1021≀⩗∶⫖↰⪸760))⋣⋖((⫖↰⪸1088⊱⇼⊻⫖↰⪸2609)∳⫺(⫖↰⪸1949⫥∨⫟⫖↰⪸2479))⨐(⫖↰⪸1782≁↽≥⫖↰⪸1653⨔≚≋(⊑⫖↰⪸945))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13731,"operation_count":14,"complexity_ratio":980.7857142857143,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":1737,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1388,"base":12},"right_expr":{"type":"numeric_atoms","value":3213,"base":12}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1753,"base":12},"right_expr":{"type":"numeric_atoms","value":1080,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1832,"base":12},"right_expr":{"type":"numeric_atoms","value":4329,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3081,"base":12},"right_expr":{"type":"numeric_atoms","value":4125,"base":12}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2834,"base":12},"right_expr":{"type":"numeric_atoms","value":2655,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1349,"base":12}}}}},"used_operators":["J0M6qkBnIM","KFSx94NKJn","uyq1hVkAcj","LRNGc0VcxI","U7g4x0WXJJ","f6k1SAg4EE","8INZBEW696","Noe24qw2ks","AzXXKTstlj","FyVja0WsTP","KYD54nUTWz","Z57zeUYC9z","ncHt1X6cMc","IkUmn0D7oy"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","8HhzD0ZcuI","rGHVDoGpnC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","oWn0xqSxBt","3Oe9XWJUTD","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1852","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=1737, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":2},{"info":"number node, value=1388","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=3213, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4601","layer":3},{"info":"number node, value=1753","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=1080, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4601, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-4601","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4601, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1832","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=4329, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3081","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=4125, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=2834","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=2655, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=41376","layer":3},{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=41376, right_input=192, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=9872, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=520","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=520, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸10A4∀⇚≩⫖↰⪸1009)⩱)⩒⫫(⫖↰⪸978⪒⫖↰⪸1A39)∑⇟⊟(⫖↰⪸1021≀⩗∶⫖↰⪸760))⋣⋖((⫖↰⪸1088⊱⇼⊻⫖↰⪸2609)∳⫺(⫖↰⪸1949⫥∨⫟⫖↰⪸2479))⨐(⫖↰⪸1782≁↽≥⫖↰⪸1653⨔≚≋(⊑⫖↰⪸945))=NaN","reverse_text":"NaN=(((⫖↰⪸10A4∀⇚≩⫖↰⪸1009)⩱)⩒⫫(⫖↰⪸978⪒⫖↰⪸1A39)∑⇟⊟(⫖↰⪸1021≀⩗∶⫖↰⪸760))⋣⋖((⫖↰⪸1088⊱⇼⊻⫖↰⪸2609)∳⫺(⫖↰⪸1949⫥∨⫟⫖↰⪸2479))⨐(⫖↰⪸1782≁↽≥⫖↰⪸1653⨔≚≋(⊑⫖↰⪸945))","cot":[{"info":"⫖↰⪸10A4∀⇚≩⫖↰⪸1009=NaN","layer":3},{"info":"NaN⩱=NaN","layer":2},{"info":"⫖↰⪸978⪒⫖↰⪸1A39=⫖↰⪸-27B5","layer":3},{"info":"⫖↰⪸1021≀⩗∶⫖↰⪸760=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-27B5∑⇟⊟⫖↰⪸0=⫖↰⪸-27B5","layer":2},{"info":"NaN⩒⫫⫖↰⪸-27B5=NaN","layer":1},{"info":"⫖↰⪸1088⊱⇼⊻⫖↰⪸2609=⫖↰⪸302","layer":3},{"info":"⫖↰⪸1949⫥∨⫟⫖↰⪸2479=NaN","layer":3},{"info":"⫖↰⪸302∳⫺NaN=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸1782≁↽≥⫖↰⪸1653=⫖↰⪸1BB40","layer":3},{"info":"⊑⫖↰⪸945=⫖↰⪸140","layer":3},{"info":"⫖↰⪸1BB40⨔≚≋⫖↰⪸140=⫖↰⪸5868","layer":2},{"info":"⫖↰⪸-198⨐⫖↰⪸5868=⫖↰⪸374","layer":1},{"info":"NaN⋣⋖⫖↰⪸374=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"⇖⫷⫕((⇾⩊⇾$5438$)⨔⇊($5040$∙∹∝$3339$)⪉⨛(≱⇩⩕$2315$⩍⋽⫝̸$2421$))","expression":"⇖⫷⫕((⇾⩊⇾⫖↰⪸3192)⨔⇊(⫖↰⪸2B00∙∹∝⫖↰⪸1B23)⪉⨛(≱⇩⩕⫖↰⪸140B⩍⋽⫝̸⫖↰⪸1499))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":781,"operation_count":7,"complexity_ratio":111.57142857142857,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":5438,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5040,"base":12},"right_expr":{"type":"numeric_atoms","value":3339,"base":12}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2315,"base":12},"right_expr":{"type":"numeric_atoms","value":2421,"base":12}}}}},"used_operators":["UHmRx3INFg","EWw2JM7wp4","JclMnS0uGI","bx9Z9DAK5y","HmxsFra2vL","3DZMoQKiUl","BiWNJpBvwn"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⫖↰⪸1772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5438","layer":4},{"info":"compute unary expreesion, input=5438, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-55428","layer":3},{"info":"number node, value=5040","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=5040, right_input=3339, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-55428, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"number node, value=2315","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=2421, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1475","layer":3},{"info":"compute unary expreesion, input=1475, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-124","layer":1},{"info":"compute unary expreesion, input=-124, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":12,"result_base":12,"text":"⇖⫷⫕((⇾⩊⇾⫖↰⪸3192)⨔⇊(⫖↰⪸2B00∙∹∝⫖↰⪸1B23)⪉⨛(≱⇩⩕⫖↰⪸140B⩍⋽⫝̸⫖↰⪸1499))=⫖↰⪸1772","reverse_text":"⫖↰⪸1772=⇖⫷⫕((⇾⩊⇾⫖↰⪸3192)⨔⇊(⫖↰⪸2B00∙∹∝⫖↰⪸1B23)⪉⨛(≱⇩⩕⫖↰⪸140B⩍⋽⫝̸⫖↰⪸1499))","cot":[{"info":"⇾⩊⇾⫖↰⪸3192=⫖↰⪸-280B0","layer":3},{"info":"⫖↰⪸2B00∙∹∝⫖↰⪸1B23=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-280B0⨔⇊⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸140B⩍⋽⫝̸⫖↰⪸1499=⫖↰⪸A2B","layer":3},{"info":"≱⇩⩕⫖↰⪸A2B=⫖↰⪸95","layer":2},{"info":"⫖↰⪸0⪉⨛⫖↰⪸95=⫖↰⪸-A4","layer":1},{"info":"⇖⫷⫕⫖↰⪸-A4=⫖↰⪸1772","layer":0}]}
{"id":533,"expression_no_base_symbol":"($2068$⨓$2214$⪭≯($1204$≝⊰⇂))⪛(↓⇌$2410$)↓($2769$∐⫣)≭($2944$⫁⪎$2081$∙∹∝$1851$∛$1377$)↹⊜($2067$≹⇙⪍$5716$∇⊂⋱($1979$⩨$3225$))","expression":"(⫖↰⪸1244⨓⫖↰⪸1346⪭≯(⫖↰⪸844≝⊰⇂))⪛(↓⇌⫖↰⪸148A)↓(⫖↰⪸1729∐⫣)≭(⫖↰⪸1854⫁⪎⫖↰⪸1255∙∹∝⫖↰⪸10A3∛⫖↰⪸969)↹⊜(⫖↰⪸1243≹⇙⪍⫖↰⪸3384∇⊂⋱(⫖↰⪸118B⩨⫖↰⪸1A49))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18252,"operation_count":15,"complexity_ratio":1216.8,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2068,"base":12},"right_expr":{"type":"numeric_atoms","value":2214,"base":12}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1204,"base":12}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2410,"base":12}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2769,"base":12}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2944,"base":12},"right_expr":{"type":"numeric_atoms","value":2081,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1851,"base":12},"right_expr":{"type":"numeric_atoms","value":1377,"base":12}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2067,"base":12},"right_expr":{"type":"numeric_atoms","value":5716,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1979,"base":12},"right_expr":{"type":"numeric_atoms","value":3225,"base":12}}}}},"used_operators":["rxpJgHHUmx","uFcxV4UQCh","XAx5wpdLa6","3ViojmjbAp","htSmYCowi5","Af076pWI7l","PxpmPgHHJV","4CyGpkTkEk","9bazX3JMtO","HmxsFra2vL","xRrnTEsQ6j","w2537kitQq","nhYeJWJD5X","AHs5Up7iyr","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","DlLNRPXxWL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2068","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=2214, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2217","layer":3},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2217, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2410","layer":4},{"info":"compute unary expreesion, input=2410, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2410","layer":3},{"info":"number node, value=2769","layer":4},{"info":"compute unary expreesion, input=2769, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=2410, right_input=551, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2944","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=2081, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=863","layer":3},{"info":"number node, value=1851","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=1377, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=863, right_input=67, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2067","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=5716, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1979","layer":4},{"info":"number node, value=3225","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=3225, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1244⨓⫖↰⪸1346⪭≯(⫖↰⪸844≝⊰⇂))⪛(↓⇌⫖↰⪸148A)↓(⫖↰⪸1729∐⫣)≭(⫖↰⪸1854⫁⪎⫖↰⪸1255∙∹∝⫖↰⪸10A3∛⫖↰⪸969)↹⊜(⫖↰⪸1243≹⇙⪍⫖↰⪸3384∇⊂⋱(⫖↰⪸118B⩨⫖↰⪸1A49))=NaN","reverse_text":"NaN=(⫖↰⪸1244⨓⫖↰⪸1346⪭≯(⫖↰⪸844≝⊰⇂))⪛(↓⇌⫖↰⪸148A)↓(⫖↰⪸1729∐⫣)≭(⫖↰⪸1854⫁⪎⫖↰⪸1255∙∹∝⫖↰⪸10A3∛⫖↰⪸969)↹⊜(⫖↰⪸1243≹⇙⪍⫖↰⪸3384∇⊂⋱(⫖↰⪸118B⩨⫖↰⪸1A49))","cot":[{"info":"⫖↰⪸1244⨓⫖↰⪸1346=⫖↰⪸-1349","layer":3},{"info":"⫖↰⪸844≝⊰⇂=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1349⪭≯⫖↰⪸0=NaN","layer":2},{"info":"↓⇌⫖↰⪸148A=⫖↰⪸148A","layer":3},{"info":"⫖↰⪸1729∐⫣=⫖↰⪸39B","layer":3},{"info":"⫖↰⪸148A↓⫖↰⪸39B=⫖↰⪸-B2","layer":2},{"info":"NaN⪛⫖↰⪸-B2=NaN","layer":1},{"info":"⫖↰⪸1854⫁⪎⫖↰⪸1255=⫖↰⪸5BB","layer":3},{"info":"⫖↰⪸10A3∛⫖↰⪸969=⫖↰⪸57","layer":3},{"info":"⫖↰⪸5BB∙∹∝⫖↰⪸57=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1243≹⇙⪍⫖↰⪸3384=NaN","layer":3},{"info":"⫖↰⪸118B⩨⫖↰⪸1A49=⫖↰⪸-3","layer":3},{"info":"NaN∇⊂⋱⫖↰⪸-3=NaN","layer":2},{"info":"⫖↰⪸0↹⊜NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"(($7615$⋳⪒$2187$≓∲($3940$∐⫣))≠≀(∑⇻≧$1299$≄⊠$6185$))⪘⫢(⨦⪝($5670$⨚$5036$))⊱⇼⊻(⇉-⫰($2484$⫲≸⪮$6823$))","expression":"((⫖↰⪸44A7⋳⪒⫖↰⪸1323≓∲(⫖↰⪸2344∐⫣))≠≀(∑⇻≧⫖↰⪸903≄⊠⫖↰⪸36B5))⪘⫢(⨦⪝(⫖↰⪸3346⨚⫖↰⪸2AB8))⊱⇼⊻(⇉-⫰(⫖↰⪸1530⫲≸⪮⫖↰⪸3B47))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2691,"operation_count":12,"complexity_ratio":224.25,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7615,"base":12},"right_expr":{"type":"numeric_atoms","value":2187,"base":12}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3940,"base":12}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1299,"base":12},"right_expr":{"type":"numeric_atoms","value":6185,"base":12}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5670,"base":12},"right_expr":{"type":"numeric_atoms","value":5036,"base":12}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2484,"base":12},"right_expr":{"type":"numeric_atoms","value":6823,"base":12}}}}},"used_operators":["oacrs7FA3X","IwW236VD4Y","s1XTVnmDOJ","12rbrZMWeM","4CyGpkTkEk","l1M9WJ3V7u","vXNesLlMH1","FyVja0WsTP","SUjycxNXIR","nREPSIbpBE","IGFM8TAlm9","P3lXMJvFrc"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","BjRHVeLaeN","12rbrZMWeM","eH2TOUuTDT","eewbuw0ToL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7615","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=7615, right_input=2187, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12756","layer":3},{"info":"number node, value=3940","layer":4},{"info":"compute unary expreesion, input=3940, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=12756, right_input=551, 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=128343","layer":2},{"info":"number node, value=1299","layer":4},{"info":"number node, value=6185","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=6185, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=103628","layer":3},{"info":"compute unary expreesion, input=103628, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=128343, right_input=-852, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-127612","layer":1},{"info":"number node, value=5670","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=5670, right_input=5036, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7870","layer":3},{"info":"compute unary expreesion, input=-7870, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=2484","layer":4},{"info":"number node, value=6823","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=6823, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2484","layer":3},{"info":"compute unary expreesion, input=2484, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=20, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-4734","layer":1},{"info":"compute binary expreesion, left_input=-127612, right_input=-4734, 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":12,"result_base":12,"text":"((⫖↰⪸44A7⋳⪒⫖↰⪸1323≓∲(⫖↰⪸2344∐⫣))≠≀(∑⇻≧⫖↰⪸903≄⊠⫖↰⪸36B5))⪘⫢(⨦⪝(⫖↰⪸3346⨚⫖↰⪸2AB8))⊱⇼⊻(⇉-⫰(⫖↰⪸1530⫲≸⪮⫖↰⪸3B47))=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=((⫖↰⪸44A7⋳⪒⫖↰⪸1323≓∲(⫖↰⪸2344∐⫣))≠≀(∑⇻≧⫖↰⪸903≄⊠⫖↰⪸36B5))⪘⫢(⨦⪝(⫖↰⪸3346⨚⫖↰⪸2AB8))⊱⇼⊻(⇉-⫰(⫖↰⪸1530⫲≸⪮⫖↰⪸3B47))","cot":[{"info":"⫖↰⪸44A7⋳⪒⫖↰⪸1323=⫖↰⪸7470","layer":3},{"info":"⫖↰⪸2344∐⫣=⫖↰⪸39B","layer":3},{"info":"⫖↰⪸7470≓∲⫖↰⪸39B=⫖↰⪸62333","layer":2},{"info":"⫖↰⪸903≄⊠⫖↰⪸36B5=⫖↰⪸4BB78","layer":3},{"info":"∑⇻≧⫖↰⪸4BB78=⫖↰⪸-5B0","layer":2},{"info":"⫖↰⪸62333≠≀⫖↰⪸-5B0=⫖↰⪸-61A24","layer":1},{"info":"⫖↰⪸3346⨚⫖↰⪸2AB8=⫖↰⪸-467A","layer":3},{"info":"⨦⪝⫖↰⪸-467A=⫖↰⪸-1110","layer":2},{"info":"⫖↰⪸1530⫲≸⪮⫖↰⪸3B47=⫖↰⪸1530","layer":3},{"info":"⇉-⫰⫖↰⪸1530=⫖↰⪸18","layer":2},{"info":"⫖↰⪸-1110⊱⇼⊻⫖↰⪸18=⫖↰⪸-28A6","layer":1},{"info":"⫖↰⪸-61A24⪘⫢⫖↰⪸-28A6=⫖↰⪸-1","layer":0}]}
{"id":535,"expression_no_base_symbol":"⫯(⇾⩊⇾(↪⫪⫘$4190$)⨿($1178$↺$1030$))","expression":"⫯(⇾⩊⇾(↪⫪⫘⫖↰⪸2512)⨿(⫖↰⪸822↺⫖↰⪸71A))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":536,"operation_count":5,"complexity_ratio":107.2,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4190,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1178,"base":12},"right_expr":{"type":"numeric_atoms","value":1030,"base":12}}}}},"used_operators":["H6BK1Evt7c","bx9Z9DAK5y","abYXlopdE0","9dWsAM3GFt","7j4O788W3g"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸A2072","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4190","layer":4},{"info":"compute unary expreesion, input=4190, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1178","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=1030, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1030","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=1030, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute unary expreesion, input=121, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7575","layer":1},{"info":"compute unary expreesion, input=-7575, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=210902","layer":0}],"base":12,"result_base":12,"text":"⫯(⇾⩊⇾(↪⫪⫘⫖↰⪸2512)⨿(⫖↰⪸822↺⫖↰⪸71A))=⫖↰⪸A2072","reverse_text":"⫖↰⪸A2072=⫯(⇾⩊⇾(↪⫪⫘⫖↰⪸2512)⨿(⫖↰⪸822↺⫖↰⪸71A))","cot":[{"info":"↪⫪⫘⫖↰⪸2512=⫖↰⪸18","layer":3},{"info":"⫖↰⪸822↺⫖↰⪸71A=⫖↰⪸71A","layer":3},{"info":"⫖↰⪸18⨿⫖↰⪸71A=⫖↰⪸A1","layer":2},{"info":"⇾⩊⇾⫖↰⪸A1=⫖↰⪸-4473","layer":1},{"info":"⫯⫖↰⪸-4473=⫖↰⪸A2072","layer":0}]}
{"id":536,"expression_no_base_symbol":"(($5720$⫥∨⫟$3806$⨵⪆$1715$⋅⇍$5388$)⪚($1695$⇆⨓≜)⪝($6773$⨵⪆$2203$))⨽∌(($1569$⨰$2600$)∑⇟⊟(≻⋜$3699$)⊎←↗)","expression":"((⫖↰⪸3388⫥∨⫟⫖↰⪸2252⨵⪆⫖↰⪸BAB⋅⇍⫖↰⪸3150)⪚(⫖↰⪸B93⇆⨓≜)⪝(⫖↰⪸3B05⨵⪆⫖↰⪸1337))⨽∌((⫖↰⪸AA9⨰⫖↰⪸1608)∑⇟⊟(≻⋜⫖↰⪸2183)⊎←↗)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20080,"operation_count":12,"complexity_ratio":1673.3333333333333,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5720,"base":12},"right_expr":{"type":"numeric_atoms","value":3806,"base":12}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1715,"base":12},"right_expr":{"type":"numeric_atoms","value":5388,"base":12}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1695,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6773,"base":12},"right_expr":{"type":"numeric_atoms","value":2203,"base":12}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1569,"base":12},"right_expr":{"type":"numeric_atoms","value":2600,"base":12}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3699,"base":12}}}}},"used_operators":["9samAPKr6k","HrjLwUk87U","2DQ55sFlQl","KYD54nUTWz","AdZkA7nFnk","wicAB68Tmb","KvvgdUaMHJ","dwb5p0fa6d","U7g4x0WXJJ","eewbuw0ToL","3tj9sqzovi"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Uaa54Peajs","KYD54nUTWz","sdazOOVcIp","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5720","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=5720, right_input=3806, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1715","layer":4},{"info":"number node, value=5388","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=5388, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=6773","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=6773, right_input=2203, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=1569","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=2600, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1021","layer":3},{"info":"number node, value=3699","layer":4},{"info":"compute unary expreesion, input=3699, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1021, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3388⫥∨⫟⫖↰⪸2252⨵⪆⫖↰⪸BAB⋅⇍⫖↰⪸3150)⪚(⫖↰⪸B93⇆⨓≜)⪝(⫖↰⪸3B05⨵⪆⫖↰⪸1337))⨽∌((⫖↰⪸AA9⨰⫖↰⪸1608)∑⇟⊟(≻⋜⫖↰⪸2183)⊎←↗)=NaN","reverse_text":"NaN=((⫖↰⪸3388⫥∨⫟⫖↰⪸2252⨵⪆⫖↰⪸BAB⋅⇍⫖↰⪸3150)⪚(⫖↰⪸B93⇆⨓≜)⪝(⫖↰⪸3B05⨵⪆⫖↰⪸1337))⨽∌((⫖↰⪸AA9⨰⫖↰⪸1608)∑⇟⊟(≻⋜⫖↰⪸2183)⊎←↗)","cot":[{"info":"⫖↰⪸3388⫥∨⫟⫖↰⪸2252=NaN","layer":3},{"info":"⫖↰⪸BAB⋅⇍⫖↰⪸3150=⫖↰⪸-1A","layer":3},{"info":"NaN⨵⪆⫖↰⪸-1A=⫖↰⪸114","layer":2},{"info":"⫖↰⪸B93⇆⨓≜=NaN","layer":3},{"info":"⫖↰⪸3B05⨵⪆⫖↰⪸1337=⫖↰⪸114","layer":3},{"info":"NaN⪝⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸114⪚NaN=NaN","layer":1},{"info":"⫖↰⪸AA9⨰⫖↰⪸1608=⫖↰⪸-711","layer":3},{"info":"≻⋜⫖↰⪸2183=NaN","layer":3},{"info":"⫖↰⪸-711∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⊎←↗=NaN","layer":1},{"info":"NaN⨽∌NaN=NaN","layer":0}]}
{"id":537,"expression_no_base_symbol":"($2389$⩣⫁∢$1306$∙⊟(↨$3956$))⪎↠(($1416$∐⫣)≒∊($2304$⪄$3108$))⪚(((⫛⫱⨽$1154$)∀⊥⇻)≹⇙⪍((↘$2882$)∙⊟$4845$⪕$3242$))","expression":"(⫖↰⪸1471⩣⫁∢⫖↰⪸90A∙⊟(↨⫖↰⪸2358))⪎↠((⫖↰⪸9A0∐⫣)≒∊(⫖↰⪸1400⪄⫖↰⪸1970))⪚(((⫛⫱⨽⫖↰⪸802)∀⊥⇻)≹⇙⪍((↘⫖↰⪸1802)∙⊟⫖↰⪸2979⪕⫖↰⪸1A62))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6680,"operation_count":14,"complexity_ratio":477.14285714285717,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2389,"base":12},"right_expr":{"type":"numeric_atoms","value":1306,"base":12}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":3956,"base":12}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1416,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2304,"base":12},"right_expr":{"type":"numeric_atoms","value":3108,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1154,"base":12}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2882,"base":12}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4845,"base":12},"right_expr":{"type":"numeric_atoms","value":3242,"base":12}}}}},"used_operators":["HrjLwUk87U","3tVxb0NHM4","SxTAKzQCrw","JDUIKTTSIa","jiX4gk2v2Q","5KTvxBwnZo","4CyGpkTkEk","SUmda5xLS4","AHs5Up7iyr","k4iM1060OG","DlLNRPXxWL","LdNpr8hQHL","umQnsF7QlU"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rGHVDoGpnC","oZj3VtZNQx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rGHVDoGpnC","uFcxV4UQCh","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2389","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=1306, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4617","layer":3},{"info":"number node, value=3956","layer":4},{"info":"compute unary expreesion, input=3956, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4617, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=75765","layer":2},{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=2304","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=3108, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-349513","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=-349513, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-67","layer":2},{"info":"compute binary expreesion, left_input=75765, right_input=-67, 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=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"number node, value=2882","layer":4},{"info":"compute unary expreesion, input=2882, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=138","layer":3},{"info":"number node, value=4845","layer":4},{"info":"number node, value=3242","layer":4},{"info":"compute binary expreesion, left_input=4845, right_input=3242, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=7349","layer":3},{"info":"compute binary expreesion, left_input=138, right_input=7349, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20491","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=20491, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=160, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1471⩣⫁∢⫖↰⪸90A∙⊟(↨⫖↰⪸2358))⪎↠((⫖↰⪸9A0∐⫣)≒∊(⫖↰⪸1400⪄⫖↰⪸1970))⪚(((⫛⫱⨽⫖↰⪸802)∀⊥⇻)≹⇙⪍((↘⫖↰⪸1802)∙⊟⫖↰⪸2979⪕⫖↰⪸1A62))=NaN","reverse_text":"NaN=(⫖↰⪸1471⩣⫁∢⫖↰⪸90A∙⊟(↨⫖↰⪸2358))⪎↠((⫖↰⪸9A0∐⫣)≒∊(⫖↰⪸1400⪄⫖↰⪸1970))⪚(((⫛⫱⨽⫖↰⪸802)∀⊥⇻)≹⇙⪍((↘⫖↰⪸1802)∙⊟⫖↰⪸2979⪕⫖↰⪸1A62))","cot":[{"info":"⫖↰⪸1471⩣⫁∢⫖↰⪸90A=⫖↰⪸-2809","layer":3},{"info":"↨⫖↰⪸2358=NaN","layer":3},{"info":"⫖↰⪸-2809∙⊟NaN=⫖↰⪸37A19","layer":2},{"info":"⫖↰⪸9A0∐⫣=⫖↰⪸39B","layer":3},{"info":"⫖↰⪸1400⪄⫖↰⪸1970=⫖↰⪸-14A321","layer":3},{"info":"⫖↰⪸39B≒∊⫖↰⪸-14A321=⫖↰⪸-57","layer":2},{"info":"⫖↰⪸37A19⪎↠⫖↰⪸-57=⫖↰⪸114","layer":1},{"info":"⫛⫱⨽⫖↰⪸802=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∀⊥⇻=⫖↰⪸0","layer":2},{"info":"↘⫖↰⪸1802=⫖↰⪸B6","layer":3},{"info":"⫖↰⪸2979⪕⫖↰⪸1A62=⫖↰⪸4305","layer":3},{"info":"⫖↰⪸B6∙⊟⫖↰⪸4305=⫖↰⪸BA37","layer":2},{"info":"⫖↰⪸0≹⇙⪍⫖↰⪸BA37=NaN","layer":1},{"info":"⫖↰⪸114⪚NaN=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"(($1604$↳∿⪆$2744$∲⫓($2255$∕⩚$5523$))⨼⩣(($5486$⪭≯$5154$)≄⊠(⋂$3391$)))≎⪠(($3172$⨳⩥⨓$4178$)⊹∫⫚(⫛⫱⨽$1233$)∕⩚($3363$⫞⩸⩒$4068$⇞))","expression":"((⫖↰⪸B18↳∿⪆⫖↰⪸1708∲⫓(⫖↰⪸137B∕⩚⫖↰⪸3243))⨼⩣((⫖↰⪸3212⪭≯⫖↰⪸2B96)≄⊠(⋂⫖↰⪸1B67)))≎⪠((⫖↰⪸1A04⨳⩥⨓⫖↰⪸2502)⊹∫⫚(⫛⫱⨽⫖↰⪸869)∕⩚(⫖↰⪸1B43⫞⩸⩒⫖↰⪸2430⇞))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25913,"operation_count":14,"complexity_ratio":1850.9285714285713,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1604,"base":12},"right_expr":{"type":"numeric_atoms","value":2744,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2255,"base":12},"right_expr":{"type":"numeric_atoms","value":5523,"base":12}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5486,"base":12},"right_expr":{"type":"numeric_atoms","value":5154,"base":12}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":3391,"base":12}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3172,"base":12},"right_expr":{"type":"numeric_atoms","value":4178,"base":12}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1233,"base":12}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3363,"base":12},"right_expr":{"type":"numeric_atoms","value":4068,"base":12}}}}},"used_operators":["aNhz54LH3e","JxwMv5le6e","i8ToyICDmI","Cw4SuJJGHO","z9ffQ9n5Zr","vXNesLlMH1","XAx5wpdLa6","BUOGQAYlQx","uWAJUKEvyW","nCS4ZIUYfx","DlLNRPXxWL","5JYyxRJd4f","XGcMNugi78"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⫖↰⪸B39A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1604","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=2744, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2255","layer":4},{"info":"number node, value=5523","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=5523, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2258","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2258, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=5486","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=5154, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3391","layer":4},{"info":"compute unary expreesion, input=3391, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-46878","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-46878, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3172","layer":4},{"info":"number node, value=4178","layer":4},{"info":"compute binary expreesion, left_input=3172, right_input=4178, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1006","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1006, right_input=0, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":2},{"info":"number node, value=3363","layer":4},{"info":"number node, value=4068","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=4068, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4068","layer":3},{"info":"compute unary expreesion, input=4068, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=16185","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=16185, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B18↳∿⪆⫖↰⪸1708∲⫓(⫖↰⪸137B∕⩚⫖↰⪸3243))⨼⩣((⫖↰⪸3212⪭≯⫖↰⪸2B96)≄⊠(⋂⫖↰⪸1B67)))≎⪠((⫖↰⪸1A04⨳⩥⨓⫖↰⪸2502)⊹∫⫚(⫛⫱⨽⫖↰⪸869)∕⩚(⫖↰⪸1B43⫞⩸⩒⫖↰⪸2430⇞))=⫖↰⪸B39A","reverse_text":"⫖↰⪸B39A=((⫖↰⪸B18↳∿⪆⫖↰⪸1708∲⫓(⫖↰⪸137B∕⩚⫖↰⪸3243))⨼⩣((⫖↰⪸3212⪭≯⫖↰⪸2B96)≄⊠(⋂⫖↰⪸1B67)))≎⪠((⫖↰⪸1A04⨳⩥⨓⫖↰⪸2502)⊹∫⫚(⫛⫱⨽⫖↰⪸869)∕⩚(⫖↰⪸1B43⫞⩸⩒⫖↰⪸2430⇞))","cot":[{"info":"⫖↰⪸B18↳∿⪆⫖↰⪸1708=NaN","layer":3},{"info":"⫖↰⪸137B∕⩚⫖↰⪸3243=⫖↰⪸-1382","layer":3},{"info":"NaN∲⫓⫖↰⪸-1382=NaN","layer":2},{"info":"⫖↰⪸3212⪭≯⫖↰⪸2B96=NaN","layer":3},{"info":"⋂⫖↰⪸1B67=⫖↰⪸-23166","layer":3},{"info":"NaN≄⊠⫖↰⪸-23166=⫖↰⪸A50","layer":2},{"info":"NaN⨼⩣⫖↰⪸A50=NaN","layer":1},{"info":"⫖↰⪸1A04⨳⩥⨓⫖↰⪸2502=⫖↰⪸6BA","layer":3},{"info":"⫛⫱⨽⫖↰⪸869=⫖↰⪸0","layer":3},{"info":"⫖↰⪸6BA⊹∫⫚⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1B43⫞⩸⩒⫖↰⪸2430=⫖↰⪸2430","layer":3},{"info":"⫖↰⪸2430⇞=⫖↰⪸9449","layer":2},{"info":"⫖↰⪸0∕⩚⫖↰⪸9449=NaN","layer":1},{"info":"NaN≎⪠NaN=⫖↰⪸B39A","layer":0}]}
{"id":539,"expression_no_base_symbol":"↸⊣(($5021$⪬$1675$⪛(⇙⪊$5999$))⪚$2997$⨽∌$1951$⪒⊣⊆(↪⫪⫘$5657$))","expression":"↸⊣((⫖↰⪸2AA5⪬⫖↰⪸B77⪛(⇙⪊⫖↰⪸357B))⪚⫖↰⪸1899⨽∌⫖↰⪸1167⪒⊣⊆(↪⫪⫘⫖↰⪸3335))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":927,"operation_count":8,"complexity_ratio":115.875,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5021,"base":12},"right_expr":{"type":"numeric_atoms","value":1675,"base":12}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":5999,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2997,"base":12},"right_expr":{"type":"numeric_atoms","value":1951,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":5657,"base":12}}}}},"used_operators":["wztAlM01eG","HrjLwUk87U","uFcxV4UQCh","Ez1Nq5fNfI","pB6Fcnrjim","eRqsBgTDFp","9samAPKr6k","9dWsAM3GFt"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","sdazOOVcIp","W4YGzv6Whe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5021","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=1675, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5999","layer":4},{"info":"compute unary expreesion, input=5999, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2997","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=1951, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=5657","layer":4},{"info":"compute unary expreesion, input=5657, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=142","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=142, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', 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":12,"result_base":12,"text":"↸⊣((⫖↰⪸2AA5⪬⫖↰⪸B77⪛(⇙⪊⫖↰⪸357B))⪚⫖↰⪸1899⨽∌⫖↰⪸1167⪒⊣⊆(↪⫪⫘⫖↰⪸3335))=NaN","reverse_text":"NaN=↸⊣((⫖↰⪸2AA5⪬⫖↰⪸B77⪛(⇙⪊⫖↰⪸357B))⪚⫖↰⪸1899⨽∌⫖↰⪸1167⪒⊣⊆(↪⫪⫘⫖↰⪸3335))","cot":[{"info":"⫖↰⪸2AA5⪬⫖↰⪸B77=⫖↰⪸86A","layer":3},{"info":"⇙⪊⫖↰⪸357B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸86A⪛⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1899⨽∌⫖↰⪸1167=⫖↰⪸0","layer":3},{"info":"↪⫪⫘⫖↰⪸3335=⫖↰⪸18","layer":3},{"info":"⫖↰⪸0⪒⊣⊆⫖↰⪸18=⫖↰⪸BA","layer":2},{"info":"NaN⪚⫖↰⪸BA=NaN","layer":1},{"info":"↸⊣NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"(⩩($5546$⩼⇪↪$1020$⪢$3123$⇻⋧≁$1847$))⫦⪉(≘(($1492$*$1189$)⇴$1578$⨟⋌⩍$1235$))","expression":"(⩩(⫖↰⪸3262⩼⇪↪⫖↰⪸710⪢⫖↰⪸1983⇻⋧≁⫖↰⪸109B))⫦⪉(≘((⫖↰⪸A44*⫖↰⪸831)⇴⫖↰⪸AB6⨟⋌⩍⫖↰⪸86B))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11149,"operation_count":9,"complexity_ratio":1238.7777777777778,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5546,"base":12},"right_expr":{"type":"numeric_atoms","value":1020,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3123,"base":12},"right_expr":{"type":"numeric_atoms","value":1847,"base":12}}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1492,"base":12},"right_expr":{"type":"numeric_atoms","value":1189,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1578,"base":12},"right_expr":{"type":"numeric_atoms","value":1235,"base":12}}}}},"used_operators":["wscyQdcy20","kMhfGuqI2H","dWAJyo7jo9","ocnLzx9CaJ","jCPkEVoL5K","tcjXMdvYtA","4JB6nKBMSY","9HNa5Wba9A","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5546","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=5546, right_input=1020, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=3169","layer":3},{"info":"number node, value=3123","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1847, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=3169, right_input=-447, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=1492","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1189, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1773988","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1235, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1773988, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩩(⫖↰⪸3262⩼⇪↪⫖↰⪸710⪢⫖↰⪸1983⇻⋧≁⫖↰⪸109B))⫦⪉(≘((⫖↰⪸A44*⫖↰⪸831)⇴⫖↰⪸AB6⨟⋌⩍⫖↰⪸86B))=NaN","reverse_text":"NaN=(⩩(⫖↰⪸3262⩼⇪↪⫖↰⪸710⪢⫖↰⪸1983⇻⋧≁⫖↰⪸109B))⫦⪉(≘((⫖↰⪸A44*⫖↰⪸831)⇴⫖↰⪸AB6⨟⋌⩍⫖↰⪸86B))","cot":[{"info":"⫖↰⪸3262⩼⇪↪⫖↰⪸710=⫖↰⪸1A01","layer":3},{"info":"⫖↰⪸1983⇻⋧≁⫖↰⪸109B=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1A01⪢⫖↰⪸-313=NaN","layer":2},{"info":"⩩NaN=NaN","layer":1},{"info":"⫖↰⪸A44*⫖↰⪸831=⫖↰⪸716744","layer":3},{"info":"⫖↰⪸AB6⨟⋌⩍⫖↰⪸86B=NaN","layer":3},{"info":"⫖↰⪸716744⇴NaN=NaN","layer":2},{"info":"≘NaN=NaN","layer":1},{"info":"NaN⫦⪉NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"((⫓⪴(⇺⋃$7115$))∘(∡$2923$⫁$2615$))⫁(⨛($4612$⫳≱↱$2958$)⨐($3181$⊝⪿⪼$1145$))","expression":"((⫓⪴(⇺⋃⫖↰⪸414B))∘(∡⫖↰⪸1837⫁⫖↰⪸161B))⫁(⨛(⫖↰⪸2804⫳≱↱⫖↰⪸1866)⨐(⫖↰⪸1A11⊝⪿⪼⫖↰⪸7B5))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":614,"operation_count":10,"complexity_ratio":61.4,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":7115,"base":12}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2923,"base":12},"right_expr":{"type":"numeric_atoms","value":2615,"base":12}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4612,"base":12},"right_expr":{"type":"numeric_atoms","value":2958,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3181,"base":12},"right_expr":{"type":"numeric_atoms","value":1145,"base":12}}}}},"used_operators":["0ajvFaJAv0","Z5m6OM72h2","eLxqMNBOBk","E5v5B3UAjG","pRsWfj4Fpp","CoMdbyAt7R","Noe24qw2ks","ZvLB05nZmT","3Oe9XWJUTD"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","eH2TOUuTDT","rysDP5nf3Z","9HNa5Wba9A","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7115","layer":4},{"info":"compute unary expreesion, input=7115, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=2923","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=2615, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-160, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=4612","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=4612, right_input=2958, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3181","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=1145, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=48907","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=48907, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=408","layer":2},{"info":"compute unary expreesion, input=408, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴(⇺⋃⫖↰⪸414B))∘(∡⫖↰⪸1837⫁⫖↰⪸161B))⫁(⨛(⫖↰⪸2804⫳≱↱⫖↰⪸1866)⨐(⫖↰⪸1A11⊝⪿⪼⫖↰⪸7B5))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⫓⪴(⇺⋃⫖↰⪸414B))∘(∡⫖↰⪸1837⫁⫖↰⪸161B))⫁(⨛(⫖↰⪸2804⫳≱↱⫖↰⪸1866)⨐(⫖↰⪸1A11⊝⪿⪼⫖↰⪸7B5))","cot":[{"info":"⇺⋃⫖↰⪸414B=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫖↰⪸1837⫁⫖↰⪸161B=⫖↰⪸114","layer":3},{"info":"∡⫖↰⪸114=⫖↰⪸-114","layer":2},{"info":"NaN∘⫖↰⪸-114=NaN","layer":1},{"info":"⫖↰⪸2804⫳≱↱⫖↰⪸1866=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸1A11⊝⪿⪼⫖↰⪸7B5=⫖↰⪸24377","layer":3},{"info":"⫖↰⪸-150⨐⫖↰⪸24377=⫖↰⪸2A0","layer":2},{"info":"⨛⫖↰⪸2A0=NaN","layer":1},{"info":"NaN⫁NaN=⫖↰⪸114","layer":0}]}
{"id":542,"expression_no_base_symbol":"⋼∭⪍($5854$⪛$2168$)↢($2647$∲⫓$5901$)⪥($4806$⨫⇇↔$2230$)∥⊢⊲($1324$⩍⋽⫝̸$5838$)","expression":"⋼∭⪍(⫖↰⪸347A⪛⫖↰⪸1308)↢(⫖↰⪸1647∲⫓⫖↰⪸34B9)⪥(⫖↰⪸2946⨫⇇↔⫖↰⪸135A)∥⊢⊲(⫖↰⪸924⩍⋽⫝̸⫖↰⪸3466)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":79,"operation_count":8,"complexity_ratio":9.875,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5854,"base":12},"right_expr":{"type":"numeric_atoms","value":2168,"base":12}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2647,"base":12},"right_expr":{"type":"numeric_atoms","value":5901,"base":12}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4806,"base":12},"right_expr":{"type":"numeric_atoms","value":2230,"base":12}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1324,"base":12},"right_expr":{"type":"numeric_atoms","value":5838,"base":12}}}}},"used_operators":["DbCuESL50I","QbnwKVWMIQ","WR6HLWljOP","uFcxV4UQCh","i8ToyICDmI","v1UQAVDJRr","LXhwmt4mBO","BiWNJpBvwn"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⫖↰⪸-17404","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5854","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=5854, right_input=2168, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1518","layer":3},{"info":"number node, value=2647","layer":4},{"info":"number node, value=5901","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=5901, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1518, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1034","layer":2},{"info":"number node, value=4806","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=4806, right_input=2230, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=5838","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=5838, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4892","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=4892, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8788","layer":1},{"info":"compute unary expreesion, input=8788, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-33412","layer":0}],"base":12,"result_base":12,"text":"⋼∭⪍(⫖↰⪸347A⪛⫖↰⪸1308)↢(⫖↰⪸1647∲⫓⫖↰⪸34B9)⪥(⫖↰⪸2946⨫⇇↔⫖↰⪸135A)∥⊢⊲(⫖↰⪸924⩍⋽⫝̸⫖↰⪸3466)=⫖↰⪸-17404","reverse_text":"⫖↰⪸-17404=⋼∭⪍(⫖↰⪸347A⪛⫖↰⪸1308)↢(⫖↰⪸1647∲⫓⫖↰⪸34B9)⪥(⫖↰⪸2946⨫⇇↔⫖↰⪸135A)∥⊢⊲(⫖↰⪸924⩍⋽⫝̸⫖↰⪸3466)","cot":[{"info":"⫖↰⪸347A⪛⫖↰⪸1308=⫖↰⪸A66","layer":3},{"info":"⫖↰⪸1647∲⫓⫖↰⪸34B9=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A66↢⫖↰⪸0=⫖↰⪸722","layer":2},{"info":"⫖↰⪸2946⨫⇇↔⫖↰⪸135A=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸924⩍⋽⫝̸⫖↰⪸3466=⫖↰⪸29B8","layer":3},{"info":"⫖↰⪸-37B∥⊢⊲⫖↰⪸29B8=NaN","layer":2},{"info":"⫖↰⪸722⪥NaN=⫖↰⪸5104","layer":1},{"info":"⋼∭⪍⫖↰⪸5104=⫖↰⪸-17404","layer":0}]}
{"id":543,"expression_no_base_symbol":"(($2358$↺$1266$)⊧↖)⪍↜⋙($8262$⪔$5950$)⨽∌($2306$≠≀$2623$)⨽(⇖⫷⫕((↘$4326$)⇉⇱⇎))","expression":"((⫖↰⪸1446↺⫖↰⪸896)⊧↖)⪍↜⋙(⫖↰⪸4946⪔⫖↰⪸353A)⨽∌(⫖↰⪸1402≠≀⫖↰⪸1627)⨽(⇖⫷⫕((↘⫖↰⪸2606)⇉⇱⇎))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19250802,"operation_count":10,"complexity_ratio":1925080.2,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2358,"base":12},"right_expr":{"type":"numeric_atoms","value":1266,"base":12}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":8262,"base":12},"right_expr":{"type":"numeric_atoms","value":5950,"base":12}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2306,"base":12},"right_expr":{"type":"numeric_atoms","value":2623,"base":12}}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4326,"base":12}}}}},"used_operators":["8HhzD0ZcuI","L05ObWFQCd","EKiFHuOFxO","7j4O788W3g","9samAPKr6k","GjBEYRfMaF","IwW236VD4Y","UHmRx3INFg","MRPaB8lBjK","LdNpr8hQHL"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","uFcxV4UQCh"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2358","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=1266, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1266","layer":3},{"info":"compute unary expreesion, input=1266, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=9621260","layer":2},{"info":"number node, value=8262","layer":4},{"info":"number node, value=5950","layer":4},{"info":"compute binary expreesion, left_input=8262, right_input=5950, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2306","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=2623, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4306","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-4306, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9621260, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=19242520","layer":1},{"info":"number node, value=4326","layer":4},{"info":"compute unary expreesion, input=4326, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=14","layer":3},{"info":"compute unary expreesion, input=14, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-6","layer":2},{"info":"compute unary expreesion, input=-6, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=19242520, right_input=2822, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1446↺⫖↰⪸896)⊧↖)⪍↜⋙(⫖↰⪸4946⪔⫖↰⪸353A)⨽∌(⫖↰⪸1402≠≀⫖↰⪸1627)⨽(⇖⫷⫕((↘⫖↰⪸2606)⇉⇱⇎))=-Inf","reverse_text":"-Inf=((⫖↰⪸1446↺⫖↰⪸896)⊧↖)⪍↜⋙(⫖↰⪸4946⪔⫖↰⪸353A)⨽∌(⫖↰⪸1402≠≀⫖↰⪸1627)⨽(⇖⫷⫕((↘⫖↰⪸2606)⇉⇱⇎))","cot":[{"info":"⫖↰⪸1446↺⫖↰⪸896=⫖↰⪸896","layer":3},{"info":"⫖↰⪸896⊧↖=⫖↰⪸327BA38","layer":2},{"info":"⫖↰⪸4946⪔⫖↰⪸353A=⫖↰⪸316","layer":3},{"info":"⫖↰⪸1402≠≀⫖↰⪸1627=⫖↰⪸-25AA","layer":3},{"info":"⫖↰⪸316⨽∌⫖↰⪸-25AA=⫖↰⪸0","layer":2},{"info":"⫖↰⪸327BA38⪍↜⋙⫖↰⪸0=⫖↰⪸653B874","layer":1},{"info":"↘⫖↰⪸2606=⫖↰⪸12","layer":3},{"info":"⫖↰⪸12⇉⇱⇎=⫖↰⪸-6","layer":2},{"info":"⇖⫷⫕⫖↰⪸-6=⫖↰⪸1772","layer":1},{"info":"⫖↰⪸653B874⨽⫖↰⪸1772=-Inf","layer":0}]}
{"id":544,"expression_no_base_symbol":"(($6259$⩵∡$4712$)⨰$5433$⊕∕$1304$⪛⫼(⩏⊷≩$1636$⋳⪒$1181$))⊕∕((≱⇩⩕$1699$⪨⊡$4219$)⪭(⨈⪑($2298$⩨$2639$)))","expression":"((⫖↰⪸3757⩵∡⫖↰⪸2888)⨰⫖↰⪸3189⊕∕⫖↰⪸908⪛⫼(⩏⊷≩⫖↰⪸B44⋳⪒⫖↰⪸825))⊕∕((≱⇩⩕⫖↰⪸B97⪨⊡⫖↰⪸2537)⪭(⨈⪑(⫖↰⪸13B6⩨⫖↰⪸163B)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":488,"operation_count":12,"complexity_ratio":40.666666666666664,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6259,"base":12},"right_expr":{"type":"numeric_atoms","value":4712,"base":12}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5433,"base":12},"right_expr":{"type":"numeric_atoms","value":1304,"base":12}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1636,"base":12},"right_expr":{"type":"numeric_atoms","value":1181,"base":12}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1699,"base":12},"right_expr":{"type":"numeric_atoms","value":4219,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2298,"base":12},"right_expr":{"type":"numeric_atoms","value":2639,"base":12}}}}},"used_operators":["9cloC0Ngie","hyuBjUqXlG","eewbuw0ToL","Y7wcNGrDQJ","uOZ1tnYMDE","12rbrZMWeM","j9kHMeSvPp","3DZMoQKiUl","kuIXHzHcAH","mp94q5OcYM","2DlMacCsIx"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","23Mk6UjR3U","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6259","layer":4},{"info":"number node, value=4712","layer":4},{"info":"compute binary expreesion, left_input=6259, right_input=4712, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-7927","layer":3},{"info":"number node, value=5433","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=5433, right_input=1304, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5433","layer":3},{"info":"compute binary expreesion, left_input=-7927, right_input=5433, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-13350","layer":2},{"info":"number node, value=1636","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=1181, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1804","layer":3},{"info":"compute unary expreesion, input=1804, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=3307","layer":2},{"info":"compute binary expreesion, left_input=-13350, right_input=3307, 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=1699","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=4219, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"number node, value=2298","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=2639, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=868, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-287","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=-287, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3757⩵∡⫖↰⪸2888)⨰⫖↰⪸3189⊕∕⫖↰⪸908⪛⫼(⩏⊷≩⫖↰⪸B44⋳⪒⫖↰⪸825))⊕∕((≱⇩⩕⫖↰⪸B97⪨⊡⫖↰⪸2537)⪭(⨈⪑(⫖↰⪸13B6⩨⫖↰⪸163B)))=⫖↰⪸688","reverse_text":"⫖↰⪸688=((⫖↰⪸3757⩵∡⫖↰⪸2888)⨰⫖↰⪸3189⊕∕⫖↰⪸908⪛⫼(⩏⊷≩⫖↰⪸B44⋳⪒⫖↰⪸825))⊕∕((≱⇩⩕⫖↰⪸B97⪨⊡⫖↰⪸2537)⪭(⨈⪑(⫖↰⪸13B6⩨⫖↰⪸163B)))","cot":[{"info":"⫖↰⪸3757⩵∡⫖↰⪸2888=⫖↰⪸-4707","layer":3},{"info":"⫖↰⪸3189⊕∕⫖↰⪸908=⫖↰⪸3189","layer":3},{"info":"⫖↰⪸-4707⨰⫖↰⪸3189=⫖↰⪸-7886","layer":2},{"info":"⫖↰⪸B44⋳⪒⫖↰⪸825=⫖↰⪸1064","layer":3},{"info":"⩏⊷≩⫖↰⪸1064=⫖↰⪸1AB7","layer":2},{"info":"⫖↰⪸-7886⪛⫼⫖↰⪸1AB7=⫖↰⪸688","layer":1},{"info":"⫖↰⪸B97⪨⊡⫖↰⪸2537=⫖↰⪸0","layer":3},{"info":"≱⇩⩕⫖↰⪸0=⫖↰⪸95","layer":2},{"info":"⫖↰⪸13B6⩨⫖↰⪸163B=⫖↰⪸-3","layer":3},{"info":"⨈⪑⫖↰⪸-3=⫖↰⪸604","layer":2},{"info":"⫖↰⪸95⪭⫖↰⪸604=⫖↰⪸-1BB","layer":1},{"info":"⫖↰⪸688⊕∕⫖↰⪸-1BB=⫖↰⪸688","layer":0}]}
{"id":545,"expression_no_base_symbol":"⨣⨃⇪(⨵≀≌($2551$∑⇟⊟$1267$)⫣⪄⊒($4278$≚⋢))","expression":"⨣⨃⇪(⨵≀≌(⫖↰⪸1587∑⇟⊟⫖↰⪸897)⫣⪄⊒(⫖↰⪸2586≚⋢))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":319,"operation_count":5,"complexity_ratio":63.8,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2551,"base":12},"right_expr":{"type":"numeric_atoms","value":1267,"base":12}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":4278,"base":12}}}}},"used_operators":["AcOhelriW5","srAu1WTS94","RabNbG55vr","U7g4x0WXJJ","MahUMFw56D"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp"],"result":"⫖↰⪸991","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2551","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=1267, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4278","layer":4},{"info":"compute unary expreesion, input=4278, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":1},{"info":"compute unary expreesion, input=25600, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":12,"result_base":12,"text":"⨣⨃⇪(⨵≀≌(⫖↰⪸1587∑⇟⊟⫖↰⪸897)⫣⪄⊒(⫖↰⪸2586≚⋢))=⫖↰⪸991","reverse_text":"⫖↰⪸991=⨣⨃⇪(⨵≀≌(⫖↰⪸1587∑⇟⊟⫖↰⪸897)⫣⪄⊒(⫖↰⪸2586≚⋢))","cot":[{"info":"⫖↰⪸1587∑⇟⊟⫖↰⪸897=NaN","layer":3},{"info":"⫖↰⪸2586≚⋢=⫖↰⪸-75","layer":3},{"info":"NaN⫣⪄⊒⫖↰⪸-75=⫖↰⪸114","layer":2},{"info":"⨵≀≌⫖↰⪸114=⫖↰⪸12994","layer":1},{"info":"⨣⨃⇪⫖↰⪸12994=⫖↰⪸991","layer":0}]}
{"id":546,"expression_no_base_symbol":"($4090$⫳≱↱$1039$⫳≱↱($2999$↸$4039$))⊔$1692$⇡⇂$2974$⪢($3671$≄⊠$2071$)⋾⨃∁((⊁⨺($3080$⩵∡$3618$))⇟⨁⪰)","expression":"(⫖↰⪸244A⫳≱↱⫖↰⪸727⫳≱↱(⫖↰⪸189B↸⫖↰⪸2407))⊔⫖↰⪸B90⇡⇂⫖↰⪸187A⪢(⫖↰⪸215B≄⊠⫖↰⪸1247)⋾⨃∁((⊁⨺(⫖↰⪸1948⩵∡⫖↰⪸2116))⇟⨁⪰)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":74404,"operation_count":11,"complexity_ratio":6764.0,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4090,"base":12},"right_expr":{"type":"numeric_atoms","value":1039,"base":12}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2999,"base":12},"right_expr":{"type":"numeric_atoms","value":4039,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1692,"base":12},"right_expr":{"type":"numeric_atoms","value":2974,"base":12}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3671,"base":12},"right_expr":{"type":"numeric_atoms","value":2071,"base":12}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3080,"base":12},"right_expr":{"type":"numeric_atoms","value":3618,"base":12}}}}},"used_operators":["212REbPD9h","E4l6HwMY31","ZvLB05nZmT","1eCjFl0mb9","dWAJyo7jo9","UMwdvZNt44","vXNesLlMH1","BX1lVwlMe0","PxiHyQbrIp","Y7wcNGrDQJ"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2DDjHMKMc0","xUOZtlo3hN","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4090","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=1039, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2999","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=4039, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2999","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=2999, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1692","layer":4},{"info":"number node, value=2974","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=2974, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=3671","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=3671, right_input=2071, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=37804","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=37804, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=3080","layer":4},{"info":"number node, value=3618","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=3618, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2663","layer":3},{"info":"compute unary expreesion, input=-2663, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-17858","layer":2},{"info":"compute unary expreesion, input=-17858, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=17684","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17684, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸244A⫳≱↱⫖↰⪸727⫳≱↱(⫖↰⪸189B↸⫖↰⪸2407))⊔⫖↰⪸B90⇡⇂⫖↰⪸187A⪢(⫖↰⪸215B≄⊠⫖↰⪸1247)⋾⨃∁((⊁⨺(⫖↰⪸1948⩵∡⫖↰⪸2116))⇟⨁⪰)=Inf","reverse_text":"Inf=(⫖↰⪸244A⫳≱↱⫖↰⪸727⫳≱↱(⫖↰⪸189B↸⫖↰⪸2407))⊔⫖↰⪸B90⇡⇂⫖↰⪸187A⪢(⫖↰⪸215B≄⊠⫖↰⪸1247)⋾⨃∁((⊁⨺(⫖↰⪸1948⩵∡⫖↰⪸2116))⇟⨁⪰)","cot":[{"info":"⫖↰⪸244A⫳≱↱⫖↰⪸727=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸189B↸⫖↰⪸2407=⫖↰⪸189B","layer":3},{"info":"⫖↰⪸-150⫳≱↱⫖↰⪸189B=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸B90⇡⇂⫖↰⪸187A=NaN","layer":3},{"info":"⫖↰⪸215B≄⊠⫖↰⪸1247=⫖↰⪸19A64","layer":3},{"info":"NaN⪢⫖↰⪸19A64=NaN","layer":2},{"info":"⫖↰⪸-150⊔NaN=NaN","layer":1},{"info":"⫖↰⪸1948⩵∡⫖↰⪸2116=⫖↰⪸-165B","layer":3},{"info":"⊁⨺⫖↰⪸-165B=⫖↰⪸-A402","layer":2},{"info":"⫖↰⪸-A402⇟⨁⪰=⫖↰⪸A298","layer":1},{"info":"NaN⋾⨃∁⫖↰⪸A298=Inf","layer":0}]}
{"id":547,"expression_no_base_symbol":"(($4348$⨓$1247$)∊∟⩊($2020$⊉↱≁$3449$)↡⊰⫅(∟⋨$4694$)≭$1656$≝⊿$7045$)⨼⩣((⪝⪂⫅$2843$)⇣⩺⋵($1314$⩒⫫$2569$)⫃⨇($2881$↡⊰⫅$4470$)∌($3413$⫏⊷))","expression":"((⫖↰⪸2624⨓⫖↰⪸87B)∊∟⩊(⫖↰⪸1204⊉↱≁⫖↰⪸1BB5)↡⊰⫅(∟⋨⫖↰⪸2872)≭⫖↰⪸B60≝⊿⫖↰⪸40B1)⨼⩣((⪝⪂⫅⫖↰⪸178B)⇣⩺⋵(⫖↰⪸916⩒⫫⫖↰⪸15A1)⫃⨇(⫖↰⪸1801↡⊰⫅⫖↰⪸2706)∌(⫖↰⪸1B85⫏⊷))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":89542,"operation_count":15,"complexity_ratio":5969.466666666666,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4348,"base":12},"right_expr":{"type":"numeric_atoms","value":1247,"base":12}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2020,"base":12},"right_expr":{"type":"numeric_atoms","value":3449,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4694,"base":12}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1656,"base":12},"right_expr":{"type":"numeric_atoms","value":7045,"base":12}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2843,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1314,"base":12},"right_expr":{"type":"numeric_atoms","value":2569,"base":12}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2881,"base":12},"right_expr":{"type":"numeric_atoms","value":4470,"base":12}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":3413,"base":12}}}}},"used_operators":["JxwMv5le6e","VCtxkLNOzz","ddLRYrp01A","3ViojmjbAp","w2P8NbNXyL","rxpJgHHUmx","ctOc4cKSDt","OKKcZfAt5B","09Ly4LVMIf","F4yD0voBRQ","XTarYq4gQB","KFSx94NKJn","8cLx32lpNA","dcShxvzhyw"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","AHs5Up7iyr","eLAdDNolq6","tmPS8pqC7x","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4348","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=4348, right_input=1247, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1250","layer":3},{"info":"number node, value=2020","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=3449, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-1608","layer":3},{"info":"compute binary expreesion, left_input=-1250, right_input=-1608, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-1608","layer":2},{"info":"number node, value=4694","layer":4},{"info":"compute unary expreesion, input=4694, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4210","layer":3},{"info":"number node, value=1656","layer":4},{"info":"number node, value=7045","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=7045, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16279","layer":3},{"info":"compute binary expreesion, left_input=-4210, right_input=-16279, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1608, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=2843","layer":4},{"info":"compute unary expreesion, input=2843, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-417921","layer":3},{"info":"number node, value=1314","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=2569, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1012","layer":3},{"info":"compute binary expreesion, left_input=-417921, right_input=1012, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1673646","layer":2},{"info":"number node, value=2881","layer":4},{"info":"number node, value=4470","layer":4},{"info":"compute binary expreesion, left_input=2881, right_input=4470, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8940","layer":3},{"info":"number node, value=3413","layer":4},{"info":"compute unary expreesion, input=3413, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=8940, right_input=-820, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=820","layer":2},{"info":"compute binary expreesion, left_input=-1673646, right_input=820, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-3312","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3312, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2624⨓⫖↰⪸87B)∊∟⩊(⫖↰⪸1204⊉↱≁⫖↰⪸1BB5)↡⊰⫅(∟⋨⫖↰⪸2872)≭⫖↰⪸B60≝⊿⫖↰⪸40B1)⨼⩣((⪝⪂⫅⫖↰⪸178B)⇣⩺⋵(⫖↰⪸916⩒⫫⫖↰⪸15A1)⫃⨇(⫖↰⪸1801↡⊰⫅⫖↰⪸2706)∌(⫖↰⪸1B85⫏⊷))=NaN","reverse_text":"NaN=((⫖↰⪸2624⨓⫖↰⪸87B)∊∟⩊(⫖↰⪸1204⊉↱≁⫖↰⪸1BB5)↡⊰⫅(∟⋨⫖↰⪸2872)≭⫖↰⪸B60≝⊿⫖↰⪸40B1)⨼⩣((⪝⪂⫅⫖↰⪸178B)⇣⩺⋵(⫖↰⪸916⩒⫫⫖↰⪸15A1)⫃⨇(⫖↰⪸1801↡⊰⫅⫖↰⪸2706)∌(⫖↰⪸1B85⫏⊷))","cot":[{"info":"⫖↰⪸2624⨓⫖↰⪸87B=⫖↰⪸-882","layer":3},{"info":"⫖↰⪸1204⊉↱≁⫖↰⪸1BB5=⫖↰⪸-B20","layer":3},{"info":"⫖↰⪸-882∊∟⩊⫖↰⪸-B20=⫖↰⪸-B20","layer":2},{"info":"∟⋨⫖↰⪸2872=⫖↰⪸-252A","layer":3},{"info":"⫖↰⪸B60≝⊿⫖↰⪸40B1=⫖↰⪸-9507","layer":3},{"info":"⫖↰⪸-252A≭⫖↰⪸-9507=NaN","layer":2},{"info":"⫖↰⪸-B20↡⊰⫅NaN=NaN","layer":1},{"info":"⪝⪂⫅⫖↰⪸178B=⫖↰⪸-181A29","layer":3},{"info":"⫖↰⪸916⩒⫫⫖↰⪸15A1=⫖↰⪸704","layer":3},{"info":"⫖↰⪸-181A29⇣⩺⋵⫖↰⪸704=⫖↰⪸-688666","layer":2},{"info":"⫖↰⪸1801↡⊰⫅⫖↰⪸2706=⫖↰⪸5210","layer":3},{"info":"⫖↰⪸1B85⫏⊷=⫖↰⪸-584","layer":3},{"info":"⫖↰⪸5210∌⫖↰⪸-584=⫖↰⪸584","layer":2},{"info":"⫖↰⪸-688666⫃⨇⫖↰⪸584=⫖↰⪸-1B00","layer":1},{"info":"NaN⨼⩣⫖↰⪸-1B00=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"(⇤←(⇉-⫰$2381$⊢$3320$))⊝⪿⪼((($1000$⪇≇⋚$1651$)⩁)⊍⩺⋍($1449$⨭⪣$2374$)⪡($3154$∷$4862$))","expression":"(⇤←(⇉-⫰⫖↰⪸1465⊢⫖↰⪸1B08))⊝⪿⪼(((⫖↰⪸6B4⪇≇⋚⫖↰⪸B57)⩁)⊍⩺⋍(⫖↰⪸A09⨭⪣⫖↰⪸145A)⪡(⫖↰⪸19AA∷⫖↰⪸2992))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":395,"operation_count":10,"complexity_ratio":39.5,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2381,"base":12},"right_expr":{"type":"numeric_atoms","value":3320,"base":12}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1000,"base":12},"right_expr":{"type":"numeric_atoms","value":1651,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1449,"base":12},"right_expr":{"type":"numeric_atoms","value":2374,"base":12}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3154,"base":12},"right_expr":{"type":"numeric_atoms","value":4862,"base":12}}}}},"used_operators":["3Oe9XWJUTD","jfAgQ2OQeM","IGFM8TAlm9","5twsqlHp2o","OXDGMFPWZM","5GqDbVmqXU","3sJ7IOPOlU","oraRL2iQuh","kn8WO9XteQ","D3AQDKkPcf"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eH2TOUuTDT","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⫖↰⪸148A2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2381","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=3320, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5006","layer":3},{"info":"compute unary expreesion, input=-5006, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1266","layer":1},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1651, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=0","layer":2},{"info":"number node, value=1449","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=2374, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=170","layer":3},{"info":"number node, value=3154","layer":4},{"info":"number node, value=4862","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=4862, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4862","layer":3},{"info":"compute binary expreesion, left_input=170, right_input=4862, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=107, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1266, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=28922","layer":0}],"base":12,"result_base":12,"text":"(⇤←(⇉-⫰⫖↰⪸1465⊢⫖↰⪸1B08))⊝⪿⪼(((⫖↰⪸6B4⪇≇⋚⫖↰⪸B57)⩁)⊍⩺⋍(⫖↰⪸A09⨭⪣⫖↰⪸145A)⪡(⫖↰⪸19AA∷⫖↰⪸2992))=⫖↰⪸148A2","reverse_text":"⫖↰⪸148A2=(⇤←(⇉-⫰⫖↰⪸1465⊢⫖↰⪸1B08))⊝⪿⪼(((⫖↰⪸6B4⪇≇⋚⫖↰⪸B57)⩁)⊍⩺⋍(⫖↰⪸A09⨭⪣⫖↰⪸145A)⪡(⫖↰⪸19AA∷⫖↰⪸2992))","cot":[{"info":"⫖↰⪸1465⊢⫖↰⪸1B08=⫖↰⪸-2A92","layer":3},{"info":"⇉-⫰⫖↰⪸-2A92=⫖↰⪸18","layer":2},{"info":"⇤←⫖↰⪸18=⫖↰⪸896","layer":1},{"info":"⫖↰⪸6B4⪇≇⋚⫖↰⪸B57=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⩁=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A09⨭⪣⫖↰⪸145A=⫖↰⪸122","layer":3},{"info":"⫖↰⪸19AA∷⫖↰⪸2992=⫖↰⪸2992","layer":3},{"info":"⫖↰⪸122⪡⫖↰⪸2992=⫖↰⪸8B","layer":2},{"info":"⫖↰⪸0⊍⩺⋍⫖↰⪸8B=NaN","layer":1},{"info":"⫖↰⪸896⊝⪿⪼NaN=⫖↰⪸148A2","layer":0}]}
{"id":549,"expression_no_base_symbol":"(((⋗⩴⪓$2196$)≬⋮$4799$⨎$2875$)⪮%⊝($3458$⇷$2208$)⫉⨲⊜($4505$≬⋮$3101$))⇂≾⫗($1516$⪁$2782$⋷(⪛⨧$3901$)⪁($1234$⪥$4521$⩢≌))","expression":"(((⋗⩴⪓⫖↰⪸1330)≬⋮⫖↰⪸293B⨎⫖↰⪸17B7)⪮%⊝(⫖↰⪸2002⇷⫖↰⪸1340)⫉⨲⊜(⫖↰⪸2735≬⋮⫖↰⪸1965))⇂≾⫗(⫖↰⪸A64⪁⫖↰⪸173A⋷(⪛⨧⫖↰⪸2311)⪁(⫖↰⪸86A⪥⫖↰⪸2749⩢≌))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":72872469,"operation_count":14,"complexity_ratio":5205176.357142857,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2196,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4799,"base":12},"right_expr":{"type":"numeric_atoms","value":2875,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3458,"base":12},"right_expr":{"type":"numeric_atoms","value":2208,"base":12}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4505,"base":12},"right_expr":{"type":"numeric_atoms","value":3101,"base":12}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1516,"base":12},"right_expr":{"type":"numeric_atoms","value":2782,"base":12}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3901,"base":12}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1234,"base":12},"right_expr":{"type":"numeric_atoms","value":4521,"base":12}}}}},"used_operators":["aBQ6xLxuTc","IWmyXbctLI","kbkesczE7y","nOKPl9n5zu","rJVOvQCfKK","WhqkvtTD3t","mp7IySMOzn","I7sXao9hZE","23Mk6UjR3U","6NJAcO2OWT","D617RFjZIq","QbnwKVWMIQ"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eewbuw0ToL","zVYPLywUTj","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","hTbEZDJLEm","o20kRiQErp","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2196","layer":4},{"info":"compute unary expreesion, input=2196, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1283","layer":3},{"info":"number node, value=4799","layer":4},{"info":"number node, value=2875","layer":4},{"info":"compute binary expreesion, left_input=4799, right_input=2875, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2875","layer":3},{"info":"compute binary expreesion, left_input=-1283, right_input=2875, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3458","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=2208, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4416","layer":3},{"info":"number node, value=4505","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=4505, right_input=3101, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=4416, right_input=868, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1516","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=2782, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=3901","layer":4},{"info":"compute unary expreesion, input=3901, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=9203","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9203, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1234","layer":4},{"info":"number node, value=4521","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=4521, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9588","layer":3},{"info":"compute unary expreesion, input=9588, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, 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 = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⋗⩴⪓⫖↰⪸1330)≬⋮⫖↰⪸293B⨎⫖↰⪸17B7)⪮%⊝(⫖↰⪸2002⇷⫖↰⪸1340)⫉⨲⊜(⫖↰⪸2735≬⋮⫖↰⪸1965))⇂≾⫗(⫖↰⪸A64⪁⫖↰⪸173A⋷(⪛⨧⫖↰⪸2311)⪁(⫖↰⪸86A⪥⫖↰⪸2749⩢≌))=NaN","reverse_text":"NaN=(((⋗⩴⪓⫖↰⪸1330)≬⋮⫖↰⪸293B⨎⫖↰⪸17B7)⪮%⊝(⫖↰⪸2002⇷⫖↰⪸1340)⫉⨲⊜(⫖↰⪸2735≬⋮⫖↰⪸1965))⇂≾⫗(⫖↰⪸A64⪁⫖↰⪸173A⋷(⪛⨧⫖↰⪸2311)⪁(⫖↰⪸86A⪥⫖↰⪸2749⩢≌))","cot":[{"info":"⋗⩴⪓⫖↰⪸1330=⫖↰⪸-8AB","layer":3},{"info":"⫖↰⪸293B⨎⫖↰⪸17B7=⫖↰⪸17B7","layer":3},{"info":"⫖↰⪸-8AB≬⋮⫖↰⪸17B7=⫖↰⪸604","layer":2},{"info":"⫖↰⪸2002⇷⫖↰⪸1340=⫖↰⪸2680","layer":3},{"info":"⫖↰⪸2735≬⋮⫖↰⪸1965=⫖↰⪸604","layer":3},{"info":"⫖↰⪸2680⫉⨲⊜⫖↰⪸604=⫖↰⪸0","layer":2},{"info":"⫖↰⪸604⪮%⊝⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸A64⪁⫖↰⪸173A=NaN","layer":3},{"info":"⪛⨧⫖↰⪸2311=⫖↰⪸53AB","layer":3},{"info":"NaN⋷⫖↰⪸53AB=NaN","layer":2},{"info":"⫖↰⪸86A⪥⫖↰⪸2749=⫖↰⪸5670","layer":3},{"info":"⫖↰⪸5670⩢≌=⫖↰⪸95","layer":2},{"info":"NaN⪁⫖↰⪸95=NaN","layer":1},{"info":"NaN⇂≾⫗NaN=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"(⇋⊎⋝(⩒∊($3127$⫒⫫$1378$)))≥⨤⩑(⪸$7583$⨥⫆$1252$)⨥⫆((⇉-⫰$2480$)∳⫺($4788$⊋≦⊧$2242$))","expression":"(⇋⊎⋝(⩒∊(⫖↰⪸1987⫒⫫⫖↰⪸96A)))≥⨤⩑(⪸⫖↰⪸447B⨥⫆⫖↰⪸884)⨥⫆((⇉-⫰⫖↰⪸1528)∳⫺(⫖↰⪸2930⊋≦⊧⫖↰⪸136A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":190,"operation_count":10,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3127,"base":12},"right_expr":{"type":"numeric_atoms","value":1378,"base":12}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":7583,"base":12},"right_expr":{"type":"numeric_atoms","value":1252,"base":12}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2480,"base":12}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4788,"base":12},"right_expr":{"type":"numeric_atoms","value":2242,"base":12}}}}},"used_operators":["gJLn6v0xnP","CzM2PEoXns","qazvmhNBbN","6Ko8hGgeMq","yXekIHxTD4","86A5ENbKR9","AzXXKTstlj","IGFM8TAlm9","oRDoc9rAEX"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eH2TOUuTDT","eewbuw0ToL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3127","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=1378, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=7583","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=7583, right_input=1252, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2380","layer":3},{"info":"compute unary expreesion, input=2380, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-40251","layer":2},{"info":"number node, value=2480","layer":4},{"info":"compute unary expreesion, input=2480, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=4788","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=4788, right_input=2242, 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=-4244","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-4244, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-40251, right_input=-260, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(⇋⊎⋝(⩒∊(⫖↰⪸1987⫒⫫⫖↰⪸96A)))≥⨤⩑(⪸⫖↰⪸447B⨥⫆⫖↰⪸884)⨥⫆((⇉-⫰⫖↰⪸1528)∳⫺(⫖↰⪸2930⊋≦⊧⫖↰⪸136A))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(⇋⊎⋝(⩒∊(⫖↰⪸1987⫒⫫⫖↰⪸96A)))≥⨤⩑(⪸⫖↰⪸447B⨥⫆⫖↰⪸884)⨥⫆((⇉-⫰⫖↰⪸1528)∳⫺(⫖↰⪸2930⊋≦⊧⫖↰⪸136A))","cot":[{"info":"⫖↰⪸1987⫒⫫⫖↰⪸96A=NaN","layer":3},{"info":"⩒∊NaN=NaN","layer":2},{"info":"⇋⊎⋝NaN=NaN","layer":1},{"info":"⫖↰⪸447B⨥⫆⫖↰⪸884=⫖↰⪸1464","layer":3},{"info":"⪸⫖↰⪸1464=⫖↰⪸-1B363","layer":2},{"info":"⇉-⫰⫖↰⪸1528=⫖↰⪸18","layer":3},{"info":"⫖↰⪸2930⊋≦⊧⫖↰⪸136A=⫖↰⪸-2558","layer":3},{"info":"⫖↰⪸18∳⫺⫖↰⪸-2558=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸-1B363⨥⫆⫖↰⪸-198=⫖↰⪸-1","layer":1},{"info":"NaN≥⨤⩑⫖↰⪸-1=⫖↰⪸86A","layer":0}]}
{"id":551,"expression_no_base_symbol":"$1876$⨂≜$4109$≬⇓(⨣⨃⇪$1105$)⫔⩽⩺($2470$⨽$2507$⫃⨇$2165$⪮%⊝$1546$)∖(≛$1857$)⇻⋧≁($3483$⫸⊐$2882$)⫘($1092$⪪$1371$)⊢($1434$⨰$3000$)","expression":"⫖↰⪸1104⨂≜⫖↰⪸2465≬⇓(⨣⨃⇪⫖↰⪸781)⫔⩽⩺(⫖↰⪸151A⨽⫖↰⪸154B⫃⨇⫖↰⪸1305⪮%⊝⫖↰⪸A8A)∖(≛⫖↰⪸10A9)⇻⋧≁(⫖↰⪸2023⫸⊐⫖↰⪸1802)⫘(⫖↰⪸770⪪⫖↰⪸963)⊢(⫖↰⪸9B6⨰⫖↰⪸18A0)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50412,"operation_count":15,"complexity_ratio":3360.8,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1876,"base":12},"right_expr":{"type":"numeric_atoms","value":4109,"base":12}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1105,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2470,"base":12},"right_expr":{"type":"numeric_atoms","value":2507,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2165,"base":12},"right_expr":{"type":"numeric_atoms","value":1546,"base":12}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1857,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3483,"base":12},"right_expr":{"type":"numeric_atoms","value":2882,"base":12}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1092,"base":12},"right_expr":{"type":"numeric_atoms","value":1371,"base":12}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1434,"base":12},"right_expr":{"type":"numeric_atoms","value":3000,"base":12}}}}},"used_operators":["tXD093vOjl","i9eR4S00cU","jWTQ2TZYIH","k1SHOSEABc","AcOhelriW5","09Ly4LVMIf","8HhzD0ZcuI","IWmyXbctLI","48vC8HMD2b","jCPkEVoL5K","W7eaUhjymW","mqXw5SEYmG","5twsqlHp2o","xD69zh8xqp","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Tw270M8GLb","fu6greOZ01","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1876","layer":4},{"info":"number node, value=4109","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=4109, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1405, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=2470","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=2507, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18308907","layer":3},{"info":"number node, value=2165","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=1546, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4646","layer":3},{"info":"compute binary expreesion, left_input=-18308907, right_input=4646, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-18616","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-18616, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1857","layer":4},{"info":"compute unary expreesion, input=1857, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=3483","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=2882, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11403","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=11403, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1371, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-160981","layer":3},{"info":"number node, value=1434","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=3000, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1556","layer":3},{"info":"compute binary expreesion, left_input=-160981, right_input=-1556, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=321718","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=321718, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=530077","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=530077, 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":12,"result_base":12,"text":"⫖↰⪸1104⨂≜⫖↰⪸2465≬⇓(⨣⨃⇪⫖↰⪸781)⫔⩽⩺(⫖↰⪸151A⨽⫖↰⪸154B⫃⨇⫖↰⪸1305⪮%⊝⫖↰⪸A8A)∖(≛⫖↰⪸10A9)⇻⋧≁(⫖↰⪸2023⫸⊐⫖↰⪸1802)⫘(⫖↰⪸770⪪⫖↰⪸963)⊢(⫖↰⪸9B6⨰⫖↰⪸18A0)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫖↰⪸1104⨂≜⫖↰⪸2465≬⇓(⨣⨃⇪⫖↰⪸781)⫔⩽⩺(⫖↰⪸151A⨽⫖↰⪸154B⫃⨇⫖↰⪸1305⪮%⊝⫖↰⪸A8A)∖(≛⫖↰⪸10A9)⇻⋧≁(⫖↰⪸2023⫸⊐⫖↰⪸1802)⫘(⫖↰⪸770⪪⫖↰⪸963)⊢(⫖↰⪸9B6⨰⫖↰⪸18A0)","cot":[{"info":"⫖↰⪸1104⨂≜⫖↰⪸2465=NaN","layer":3},{"info":"⨣⨃⇪⫖↰⪸781=⫖↰⪸991","layer":3},{"info":"NaN≬⇓⫖↰⪸991=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸151A⨽⫖↰⪸154B=⫖↰⪸-616B523","layer":3},{"info":"⫖↰⪸1305⪮%⊝⫖↰⪸A8A=⫖↰⪸2832","layer":3},{"info":"⫖↰⪸-616B523⫃⨇⫖↰⪸2832=⫖↰⪸-A934","layer":2},{"info":"⫖↰⪸-1A⫔⩽⩺⫖↰⪸-A934=NaN","layer":1},{"info":"≛⫖↰⪸10A9=⫖↰⪸-A","layer":3},{"info":"⫖↰⪸2023⫸⊐⫖↰⪸1802=⫖↰⪸6723","layer":3},{"info":"⫖↰⪸-A⇻⋧≁⫖↰⪸6723=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸770⪪⫖↰⪸963=⫖↰⪸-791B1","layer":3},{"info":"⫖↰⪸9B6⨰⫖↰⪸18A0=⫖↰⪸-A98","layer":3},{"info":"⫖↰⪸-791B1⊢⫖↰⪸-A98=⫖↰⪸13621A","layer":2},{"info":"⫖↰⪸-313⫘⫖↰⪸13621A=⫖↰⪸216911","layer":1},{"info":"NaN∖⫖↰⪸216911=⫖↰⪸0","layer":0}]}
{"id":552,"expression_no_base_symbol":"((⩎⋉($1279$⫣⪄⊒$7543$))⩱)⪝(((⇋↷$2223$)⇆⨓≜)⪨⊡(($3540$⪪$1532$)⇗⋫))","expression":"((⩎⋉(⫖↰⪸8A7⫣⪄⊒⫖↰⪸4447))⩱)⪝(((⇋↷⫖↰⪸1353)⇆⨓≜)⪨⊡((⫖↰⪸2070⪪⫖↰⪸A78)⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11474,"operation_count":9,"complexity_ratio":1274.888888888889,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1279,"base":12},"right_expr":{"type":"numeric_atoms","value":7543,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2223,"base":12}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3540,"base":12},"right_expr":{"type":"numeric_atoms","value":1532,"base":12}}}}},"used_operators":["wicAB68Tmb","uyq1hVkAcj","FlXk3pOYe8","RabNbG55vr","kuIXHzHcAH","KvvgdUaMHJ","SWo3A1KBJH","hpqmaQFPrd","xD69zh8xqp"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Uaa54Peajs","KYD54nUTWz","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rxpJgHHUmx","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":4},{"info":"number node, value=7543","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=7543, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-43212","layer":3},{"info":"compute unary expreesion, input=-43212, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute unary expreesion, input=1650, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-10150","layer":1},{"info":"number node, value=2223","layer":4},{"info":"compute unary expreesion, input=2223, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=17784","layer":3},{"info":"compute unary expreesion, input=17784, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"number node, value=3540","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=1532, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-530629","layer":3},{"info":"compute unary expreesion, input=-530629, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10150, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⩎⋉(⫖↰⪸8A7⫣⪄⊒⫖↰⪸4447))⩱)⪝(((⇋↷⫖↰⪸1353)⇆⨓≜)⪨⊡((⫖↰⪸2070⪪⫖↰⪸A78)⇗⋫))=NaN","reverse_text":"NaN=((⩎⋉(⫖↰⪸8A7⫣⪄⊒⫖↰⪸4447))⩱)⪝(((⇋↷⫖↰⪸1353)⇆⨓≜)⪨⊡((⫖↰⪸2070⪪⫖↰⪸A78)⇗⋫))","cot":[{"info":"⫖↰⪸8A7⫣⪄⊒⫖↰⪸4447=⫖↰⪸-21010","layer":3},{"info":"⩎⋉⫖↰⪸-21010=⫖↰⪸B56","layer":2},{"info":"⫖↰⪸B56⩱=⫖↰⪸-5A5A","layer":1},{"info":"⇋↷⫖↰⪸1353=⫖↰⪸A360","layer":3},{"info":"⫖↰⪸A360⇆⨓≜=NaN","layer":2},{"info":"⫖↰⪸2070⪪⫖↰⪸A78=⫖↰⪸-2170B1","layer":3},{"info":"⫖↰⪸-2170B1⇗⋫=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"⫖↰⪸-5A5A⪝NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"(($2055$⨘⋶⪀)⊲⩕⊾($2724$⩨$2930$))⫉⨲⊜(≦∁($4125$⫲⨊))⋷($1168$⊹∫⫚$4897$⊭↱(⇖⫷⫕$6217$))∠↢(⩷$4358$⊬⨰$2025$)","expression":"((⫖↰⪸1233⨘⋶⪀)⊲⩕⊾(⫖↰⪸16B0⩨⫖↰⪸1842))⫉⨲⊜(≦∁(⫖↰⪸2479⫲⨊))⋷(⫖↰⪸814⊹∫⫚⫖↰⪸2A01⊭↱(⇖⫷⫕⫖↰⪸3721))∠↢(⩷⫖↰⪸2632⊬⨰⫖↰⪸1209)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1093,"operation_count":13,"complexity_ratio":84.07692307692308,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2055,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2724,"base":12},"right_expr":{"type":"numeric_atoms","value":2930,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":4125,"base":12}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1168,"base":12},"right_expr":{"type":"numeric_atoms","value":4897,"base":12}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":6217,"base":12}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4358,"base":12},"right_expr":{"type":"numeric_atoms","value":2025,"base":12}}}}},"used_operators":["23Mk6UjR3U","WhqkvtTD3t","DmTXOeWf9t","XVKwrhznBb","2DlMacCsIx","9ICcGScMcE","CArV6hThFE","KbjG8mgYpV","COABgblf1C","uWAJUKEvyW","UHmRx3INFg","1h0rLqGiFr","s3Fd5m9Dh2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2055","layer":4},{"info":"compute unary expreesion, input=2055, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=2930, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=4125","layer":4},{"info":"compute unary expreesion, input=4125, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=21408","layer":3},{"info":"compute unary expreesion, input=21408, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=21408","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21408, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"number node, value=1168","layer":4},{"info":"number node, value=4897","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=4897, 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":3},{"info":"number node, value=6217","layer":4},{"info":"compute unary expreesion, input=6217, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-212, right_input=2822, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6073","layer":2},{"info":"number node, value=4358","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=4358, right_input=2025, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11402","layer":3},{"info":"compute unary expreesion, input=11402, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-136903","layer":2},{"info":"compute binary expreesion, left_input=6073, right_input=-136903, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=1893432","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1893432, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1233⨘⋶⪀)⊲⩕⊾(⫖↰⪸16B0⩨⫖↰⪸1842))⫉⨲⊜(≦∁(⫖↰⪸2479⫲⨊))⋷(⫖↰⪸814⊹∫⫚⫖↰⪸2A01⊭↱(⇖⫷⫕⫖↰⪸3721))∠↢(⩷⫖↰⪸2632⊬⨰⫖↰⪸1209)=NaN","reverse_text":"NaN=((⫖↰⪸1233⨘⋶⪀)⊲⩕⊾(⫖↰⪸16B0⩨⫖↰⪸1842))⫉⨲⊜(≦∁(⫖↰⪸2479⫲⨊))⋷(⫖↰⪸814⊹∫⫚⫖↰⪸2A01⊭↱(⇖⫷⫕⫖↰⪸3721))∠↢(⩷⫖↰⪸2632⊬⨰⫖↰⪸1209)","cot":[{"info":"⫖↰⪸1233⨘⋶⪀=NaN","layer":3},{"info":"⫖↰⪸16B0⩨⫖↰⪸1842=⫖↰⪸-3","layer":3},{"info":"NaN⊲⩕⊾⫖↰⪸-3=NaN","layer":2},{"info":"⫖↰⪸2479⫲⨊=⫖↰⪸10480","layer":3},{"info":"≦∁⫖↰⪸10480=⫖↰⪸10480","layer":2},{"info":"NaN⫉⨲⊜⫖↰⪸10480=NaN","layer":1},{"info":"⫖↰⪸814⊹∫⫚⫖↰⪸2A01=⫖↰⪸-158","layer":3},{"info":"⇖⫷⫕⫖↰⪸3721=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸-158⊭↱⫖↰⪸1772=⫖↰⪸3621","layer":2},{"info":"⫖↰⪸2632⊬⨰⫖↰⪸1209=⫖↰⪸6722","layer":3},{"info":"⩷⫖↰⪸6722=⫖↰⪸-67287","layer":2},{"info":"⫖↰⪸3621∠↢⫖↰⪸-67287=⫖↰⪸7738A0","layer":1},{"info":"NaN⋷⫖↰⪸7738A0=NaN","layer":0}]}
{"id":554,"expression_no_base_symbol":"(⊲⪭(⨵$1368$))⩒⫫($4183$⫁⪎$5672$)≴⪞⇿(∓⪦$6164$)≀⩗∶(≯$4408$)⋹⋡⊁($8504$≀⫉$5025$)⪄$6851$∠↢$2674$⩵∡$3700$⩷∴$4368$","expression":"(⊲⪭(⨵⫖↰⪸960))⩒⫫(⫖↰⪸2507⫁⪎⫖↰⪸3348)≴⪞⇿(∓⪦⫖↰⪸3698)≀⩗∶(≯⫖↰⪸2674)⋹⋡⊁(⫖↰⪸4B08≀⫉⫖↰⪸2AA9)⪄⫖↰⪸3B6B∠↢⫖↰⪸166A⩵∡⫖↰⪸2184⩷∴⫖↰⪸2640","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":63102,"operation_count":14,"complexity_ratio":4507.285714285715,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1368,"base":12}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4183,"base":12},"right_expr":{"type":"numeric_atoms","value":5672,"base":12}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":6164,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":4408,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8504,"base":12},"right_expr":{"type":"numeric_atoms","value":5025,"base":12}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":6851,"base":12},"right_expr":{"type":"numeric_atoms","value":2674,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3700,"base":12},"right_expr":{"type":"numeric_atoms","value":4368,"base":12}}}}},"used_operators":["8INZBEW696","KFSx94NKJn","k7HXdKtiEU","Tl3Y52tvF8","lvlrscuwVU","xRrnTEsQ6j","D309nIvmXG","SUmda5xLS4","As8RqfVLgs","keWfFq85dY","oZj3VtZNQx","Y7wcNGrDQJ","KbjG8mgYpV","9FxExcQeMw"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","i8ToyICDmI","xUOZtlo3hN","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z"],"result":"⫖↰⪸236","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-12153","layer":3},{"info":"compute unary expreesion, input=-12153, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=11979","layer":2},{"info":"number node, value=4183","layer":4},{"info":"number node, value=5672","layer":4},{"info":"compute binary expreesion, left_input=4183, right_input=5672, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1489","layer":3},{"info":"number node, value=6164","layer":4},{"info":"compute unary expreesion, input=6164, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5756","layer":3},{"info":"compute binary expreesion, left_input=-1489, right_input=5756, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-22368","layer":2},{"info":"compute binary expreesion, left_input=11979, right_input=-22368, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=11677","layer":1},{"info":"number node, value=4408","layer":4},{"info":"compute unary expreesion, input=4408, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=8504","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=8504, right_input=5025, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2822, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3572","layer":2},{"info":"number node, value=6851","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=6851, right_input=2674, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-63758","layer":3},{"info":"number node, value=3700","layer":4},{"info":"number node, value=4368","layer":4},{"info":"compute binary expreesion, left_input=3700, right_input=4368, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1368","layer":3},{"info":"compute binary expreesion, left_input=-63758, right_input=-1368, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=189785","layer":2},{"info":"compute binary expreesion, left_input=3572, right_input=189785, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1283885","layer":1},{"info":"compute binary expreesion, left_input=11677, right_input=-1283885, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=330","layer":0}],"base":12,"result_base":12,"text":"(⊲⪭(⨵⫖↰⪸960))⩒⫫(⫖↰⪸2507⫁⪎⫖↰⪸3348)≴⪞⇿(∓⪦⫖↰⪸3698)≀⩗∶(≯⫖↰⪸2674)⋹⋡⊁(⫖↰⪸4B08≀⫉⫖↰⪸2AA9)⪄⫖↰⪸3B6B∠↢⫖↰⪸166A⩵∡⫖↰⪸2184⩷∴⫖↰⪸2640=⫖↰⪸236","reverse_text":"⫖↰⪸236=(⊲⪭(⨵⫖↰⪸960))⩒⫫(⫖↰⪸2507⫁⪎⫖↰⪸3348)≴⪞⇿(∓⪦⫖↰⪸3698)≀⩗∶(≯⫖↰⪸2674)⋹⋡⊁(⫖↰⪸4B08≀⫉⫖↰⪸2AA9)⪄⫖↰⪸3B6B∠↢⫖↰⪸166A⩵∡⫖↰⪸2184⩷∴⫖↰⪸2640","cot":[{"info":"⨵⫖↰⪸960=⫖↰⪸-7049","layer":3},{"info":"⊲⪭⫖↰⪸-7049=⫖↰⪸6B23","layer":2},{"info":"⫖↰⪸2507⫁⪎⫖↰⪸3348=⫖↰⪸-A41","layer":3},{"info":"∓⪦⫖↰⪸3698=⫖↰⪸33B8","layer":3},{"info":"⫖↰⪸-A41≴⪞⇿⫖↰⪸33B8=⫖↰⪸-10B40","layer":2},{"info":"⫖↰⪸6B23⩒⫫⫖↰⪸-10B40=⫖↰⪸6911","layer":1},{"info":"≯⫖↰⪸2674=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4B08≀⫉⫖↰⪸2AA9=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸0⋹⋡⊁⫖↰⪸1772=⫖↰⪸2098","layer":2},{"info":"⫖↰⪸3B6B∠↢⫖↰⪸166A=⫖↰⪸-30A92","layer":3},{"info":"⫖↰⪸2184⩷∴⫖↰⪸2640=⫖↰⪸-960","layer":3},{"info":"⫖↰⪸-30A92⩵∡⫖↰⪸-960=⫖↰⪸919B5","layer":2},{"info":"⫖↰⪸2098⪄⫖↰⪸919B5=⫖↰⪸-51ABA5","layer":1},{"info":"⫖↰⪸6911≀⩗∶⫖↰⪸-51ABA5=⫖↰⪸236","layer":0}]}
{"id":555,"expression_no_base_symbol":"((⪸$1830$)⨐($3497$∇⊂⋱$2332$)⪔(($1015$⫻⋑⊟)⩷∴$1588$⊕∕$3619$))⊮⊟↴((→⩰(⊲⪭$3238$))⩌⋺(($2870$⨳⩥⨓$1115$)≳⇉($4931$⨱∎)))","expression":"((⪸⫖↰⪸1086)⨐(⫖↰⪸2035∇⊂⋱⫖↰⪸1424)⪔((⫖↰⪸707⫻⋑⊟)⩷∴⫖↰⪸B04⊕∕⫖↰⪸2117))⊮⊟↴((→⩰(⊲⪭⫖↰⪸1A5A))⩌⋺((⫖↰⪸17B2⨳⩥⨓⫖↰⪸78B)≳⇉(⫖↰⪸2A2B⨱∎)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10130,"operation_count":14,"complexity_ratio":723.5714285714286,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1830,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3497,"base":12},"right_expr":{"type":"numeric_atoms","value":2332,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1015,"base":12}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1588,"base":12},"right_expr":{"type":"numeric_atoms","value":3619,"base":12}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3238,"base":12}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2870,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":4931,"base":12}}}}},"used_operators":["QDVgd2eftb","GjBEYRfMaF","Noe24qw2ks","86A5ENbKR9","nhYeJWJD5X","9FxExcQeMw","o575Zjdmzy","9cloC0Ngie","g7Hmc5v1ko","o8Pngz0Tml","k7HXdKtiEU","V0kx6qeWkN","nCS4ZIUYfx","MmTdOpaElr"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","i8ToyICDmI","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"compute unary expreesion, input=1830, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-30901","layer":3},{"info":"number node, value=3497","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=3497, right_input=2332, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6448","layer":3},{"info":"compute binary expreesion, left_input=-30901, right_input=6448, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=61802","layer":2},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-1520","layer":3},{"info":"number node, value=1588","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=3619, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1588","layer":3},{"info":"compute binary expreesion, left_input=-1520, right_input=1588, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6248","layer":2},{"info":"compute binary expreesion, left_input=61802, right_input=-6248, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=3238","layer":4},{"info":"compute unary expreesion, input=3238, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3412","layer":3},{"info":"compute unary expreesion, input=-3412, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=2870","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=1115, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1755","layer":3},{"info":"number node, value=4931","layer":4},{"info":"compute unary expreesion, input=4931, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1755, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=-2883","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2883, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪸⫖↰⪸1086)⨐(⫖↰⪸2035∇⊂⋱⫖↰⪸1424)⪔((⫖↰⪸707⫻⋑⊟)⩷∴⫖↰⪸B04⊕∕⫖↰⪸2117))⊮⊟↴((→⩰(⊲⪭⫖↰⪸1A5A))⩌⋺((⫖↰⪸17B2⨳⩥⨓⫖↰⪸78B)≳⇉(⫖↰⪸2A2B⨱∎)))=NaN","reverse_text":"NaN=((⪸⫖↰⪸1086)⨐(⫖↰⪸2035∇⊂⋱⫖↰⪸1424)⪔((⫖↰⪸707⫻⋑⊟)⩷∴⫖↰⪸B04⊕∕⫖↰⪸2117))⊮⊟↴((→⩰(⊲⪭⫖↰⪸1A5A))⩌⋺((⫖↰⪸17B2⨳⩥⨓⫖↰⪸78B)≳⇉(⫖↰⪸2A2B⨱∎)))","cot":[{"info":"⪸⫖↰⪸1086=⫖↰⪸-15A71","layer":3},{"info":"⫖↰⪸2035∇⊂⋱⫖↰⪸1424=⫖↰⪸3894","layer":3},{"info":"⫖↰⪸-15A71⨐⫖↰⪸3894=⫖↰⪸2B922","layer":2},{"info":"⫖↰⪸707⫻⋑⊟=⫖↰⪸-A68","layer":3},{"info":"⫖↰⪸B04⊕∕⫖↰⪸2117=⫖↰⪸B04","layer":3},{"info":"⫖↰⪸-A68⩷∴⫖↰⪸B04=⫖↰⪸-3748","layer":2},{"info":"⫖↰⪸2B922⪔⫖↰⪸-3748=⫖↰⪸316","layer":1},{"info":"⊲⪭⫖↰⪸1A5A=⫖↰⪸-1B84","layer":3},{"info":"→⩰⫖↰⪸-1B84=NaN","layer":2},{"info":"⫖↰⪸17B2⨳⩥⨓⫖↰⪸78B=⫖↰⪸-1023","layer":3},{"info":"⫖↰⪸2A2B⨱∎=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1023≳⇉⫖↰⪸0=⫖↰⪸-1803","layer":2},{"info":"NaN⩌⋺⫖↰⪸-1803=NaN","layer":1},{"info":"⫖↰⪸316⊮⊟↴NaN=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(($2513$⪔⊥$2942$)⩦(⨣⨃⇪$3121$)⩺⋐⫨)⪣⫩","expression":"((⫖↰⪸1555⪔⊥⫖↰⪸1852)⩦(⨣⨃⇪⫖↰⪸1981)⩺⋐⫨)⪣⫩","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":617,"operation_count":5,"complexity_ratio":123.4,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2513,"base":12},"right_expr":{"type":"numeric_atoms","value":2942,"base":12}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3121,"base":12}}}}},"used_operators":["iuk5sVOGFA","yS9ePUuUdn","0kmYd0q39Y","HJ9erzHUuu","AcOhelriW5"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"⫖↰⪸641","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2513","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=2942, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3969","layer":3},{"info":"number node, value=3121","layer":4},{"info":"compute unary expreesion, input=3121, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=3969, right_input=1405, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7938","layer":2},{"info":"compute unary expreesion, input=7938, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1555⪔⊥⫖↰⪸1852)⩦(⨣⨃⇪⫖↰⪸1981)⩺⋐⫨)⪣⫩=⫖↰⪸641","reverse_text":"⫖↰⪸641=((⫖↰⪸1555⪔⊥⫖↰⪸1852)⩦(⨣⨃⇪⫖↰⪸1981)⩺⋐⫨)⪣⫩","cot":[{"info":"⫖↰⪸1555⪔⊥⫖↰⪸1852=⫖↰⪸2369","layer":3},{"info":"⨣⨃⇪⫖↰⪸1981=⫖↰⪸991","layer":3},{"info":"⫖↰⪸2369⩦⫖↰⪸991=⫖↰⪸4716","layer":2},{"info":"⫖↰⪸4716⩺⋐⫨=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪣⫩=⫖↰⪸641","layer":0}]}
{"id":557,"expression_no_base_symbol":"≀↧⇸(⋗⩬⋾(⨑⩽⪐$2788$)⊹∫⫚$1451$⩖⊿$4038$)","expression":"≀↧⇸(⋗⩬⋾(⨑⩽⪐⫖↰⪸1744)⊹∫⫚⫖↰⪸A0B⩖⊿⫖↰⪸2406)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":314,"operation_count":5,"complexity_ratio":62.8,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2788,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1451,"base":12},"right_expr":{"type":"numeric_atoms","value":4038,"base":12}}}}},"used_operators":["ljTHtUsqzn","DpFCA1CohY","uWAJUKEvyW","AF7qkfDlqP","RZ5CV9rWsJ"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⫖↰⪸-500","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2515","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=4038, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=26418","layer":3},{"info":"compute binary expreesion, left_input=-2515, right_input=26418, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-60","layer":2},{"info":"compute unary expreesion, input=-60, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=180","layer":1},{"info":"compute unary expreesion, input=180, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-720","layer":0}],"base":12,"result_base":12,"text":"≀↧⇸(⋗⩬⋾(⨑⩽⪐⫖↰⪸1744)⊹∫⫚⫖↰⪸A0B⩖⊿⫖↰⪸2406)=⫖↰⪸-500","reverse_text":"⫖↰⪸-500=≀↧⇸(⋗⩬⋾(⨑⩽⪐⫖↰⪸1744)⊹∫⫚⫖↰⪸A0B⩖⊿⫖↰⪸2406)","cot":[{"info":"⨑⩽⪐⫖↰⪸1744=⫖↰⪸-1557","layer":3},{"info":"⫖↰⪸A0B⩖⊿⫖↰⪸2406=⫖↰⪸13356","layer":3},{"info":"⫖↰⪸-1557⊹∫⫚⫖↰⪸13356=⫖↰⪸-50","layer":2},{"info":"⋗⩬⋾⫖↰⪸-50=⫖↰⪸130","layer":1},{"info":"≀↧⇸⫖↰⪸130=⫖↰⪸-500","layer":0}]}
{"id":558,"expression_no_base_symbol":"(($1060$⪟⇏$4378$⋓(↨⩢⫨$1081$))≄⊠($2326$∠⫱$5935$)≎⪠($4050$⫦⪉$1300$))⨔⇊(($1301$⨓$4452$⩒⫫($1386$⨎$1701$))⊬⫿⊭)","expression":"((⫖↰⪸744⪟⇏⫖↰⪸264A⋓(↨⩢⫨⫖↰⪸761))≄⊠(⫖↰⪸141A∠⫱⫖↰⪸3527)≎⪠(⫖↰⪸2416⫦⪉⫖↰⪸904))⨔⇊((⫖↰⪸905⨓⫖↰⪸26B0⩒⫫(⫖↰⪸976⨎⫖↰⪸B99))⊬⫿⊭)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23828,"operation_count":12,"complexity_ratio":1985.6666666666667,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1060,"base":12},"right_expr":{"type":"numeric_atoms","value":4378,"base":12}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1081,"base":12}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2326,"base":12},"right_expr":{"type":"numeric_atoms","value":5935,"base":12}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4050,"base":12},"right_expr":{"type":"numeric_atoms","value":1300,"base":12}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1301,"base":12},"right_expr":{"type":"numeric_atoms","value":4452,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1386,"base":12},"right_expr":{"type":"numeric_atoms","value":1701,"base":12}}}}},"used_operators":["JclMnS0uGI","vXNesLlMH1","T2fj7uvVaJ","GODebY97qR","Z5CJsN7DuW","aNhz54LH3e","QvoQhV0rrE","wscyQdcy20","v0DYgG9ikt","KFSx94NKJn","3ViojmjbAp","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1060","layer":4},{"info":"number node, value=4378","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=4378, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2326","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=5935, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=4050","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=1300, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3200","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-3200, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19558, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=317596","layer":1},{"info":"number node, value=1301","layer":4},{"info":"number node, value=4452","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=4452, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4455","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1701, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1701","layer":3},{"info":"compute binary expreesion, left_input=-4455, right_input=1701, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=317596, right_input=-480, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸744⪟⇏⫖↰⪸264A⋓(↨⩢⫨⫖↰⪸761))≄⊠(⫖↰⪸141A∠⫱⫖↰⪸3527)≎⪠(⫖↰⪸2416⫦⪉⫖↰⪸904))⨔⇊((⫖↰⪸905⨓⫖↰⪸26B0⩒⫫(⫖↰⪸976⨎⫖↰⪸B99))⊬⫿⊭)=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸744⪟⇏⫖↰⪸264A⋓(↨⩢⫨⫖↰⪸761))≄⊠(⫖↰⪸141A∠⫱⫖↰⪸3527)≎⪠(⫖↰⪸2416⫦⪉⫖↰⪸904))⨔⇊((⫖↰⪸905⨓⫖↰⪸26B0⩒⫫(⫖↰⪸976⨎⫖↰⪸B99))⊬⫿⊭)","cot":[{"info":"⫖↰⪸744⪟⇏⫖↰⪸264A=⫖↰⪸-1","layer":3},{"info":"↨⩢⫨⫖↰⪸761=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1⋓⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸141A∠⫱⫖↰⪸3527=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸2416⫦⪉⫖↰⪸904=⫖↰⪸-1A28","layer":3},{"info":"⫖↰⪸86A≎⪠⫖↰⪸-1A28=⫖↰⪸B39A","layer":2},{"info":"⫖↰⪸0≄⊠⫖↰⪸B39A=⫖↰⪸133964","layer":1},{"info":"⫖↰⪸905⨓⫖↰⪸26B0=⫖↰⪸-26B3","layer":3},{"info":"⫖↰⪸976⨎⫖↰⪸B99=⫖↰⪸B99","layer":3},{"info":"⫖↰⪸-26B3⩒⫫⫖↰⪸B99=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⊬⫿⊭=⫖↰⪸-340","layer":1},{"info":"⫖↰⪸133964⨔⇊⫖↰⪸-340=⫖↰⪸57","layer":0}]}
{"id":559,"expression_no_base_symbol":"(⊥(($1561$⊠≄⫣)⪭($1081$⩅⪻⪻)))⊍","expression":"(⊥((⫖↰⪸AA1⊠≄⫣)⪭(⫖↰⪸761⩅⪻⪻)))⊍","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":31473,"operation_count":5,"complexity_ratio":6294.6,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1561,"base":12}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1081,"base":12}}}}},"used_operators":["3nqY3DE9mg","Q3PJZHRvZv","j9kHMeSvPp","DIvbN7qnHd","kHoXpA7yos"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","fu6greOZ01","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"⫖↰⪸-2B63","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-159413","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-159413, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-171","layer":1},{"info":"compute unary expreesion, input=-171, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-5115","layer":0}],"base":12,"result_base":12,"text":"(⊥((⫖↰⪸AA1⊠≄⫣)⪭(⫖↰⪸761⩅⪻⪻)))⊍=⫖↰⪸-2B63","reverse_text":"⫖↰⪸-2B63=(⊥((⫖↰⪸AA1⊠≄⫣)⪭(⫖↰⪸761⩅⪻⪻)))⊍","cot":[{"info":"⫖↰⪸AA1⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸761⩅⪻⪻=⫖↰⪸-78305","layer":3},{"info":"⫖↰⪸0⪭⫖↰⪸-78305=⫖↰⪸-126","layer":2},{"info":"⊥⫖↰⪸-126=⫖↰⪸-123","layer":1},{"info":"⫖↰⪸-123⊍=⫖↰⪸-2B63","layer":0}]}
{"id":560,"expression_no_base_symbol":"⊲⪭((($1261$∷$1319$)≀⫉(↪⫪⫘$1965$))⪛($5126$⋾⨃∁$1310$)⇤($1082$⊋$4652$))","expression":"⊲⪭(((⫖↰⪸891∷⫖↰⪸91B)≀⫉(↪⫪⫘⫖↰⪸1179))⪛(⫖↰⪸2B72⋾⨃∁⫖↰⪸912)⇤(⫖↰⪸762⊋⫖↰⪸2838))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8718,"operation_count":8,"complexity_ratio":1089.75,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1261,"base":12},"right_expr":{"type":"numeric_atoms","value":1319,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1965,"base":12}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5126,"base":12},"right_expr":{"type":"numeric_atoms","value":1310,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1082,"base":12},"right_expr":{"type":"numeric_atoms","value":4652,"base":12}}}}},"used_operators":["k7HXdKtiEU","uFcxV4UQCh","oZj3VtZNQx","D3AQDKkPcf","9dWsAM3GFt","YSKBFp38Pu","212REbPD9h","W4tP9CfskL"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⫖↰⪸-1898","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1261","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1319, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1319","layer":3},{"info":"number node, value=1965","layer":4},{"info":"compute unary expreesion, input=1965, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=1319, right_input=20, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=5126","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=5126, right_input=1310, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=17145186","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=4652","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=4652, 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=-129135732","layer":3},{"info":"compute binary expreesion, left_input=17145186, right_input=-129135732, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=559955578","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=559955578, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2996","layer":0}],"base":12,"result_base":12,"text":"⊲⪭(((⫖↰⪸891∷⫖↰⪸91B)≀⫉(↪⫪⫘⫖↰⪸1179))⪛(⫖↰⪸2B72⋾⨃∁⫖↰⪸912)⇤(⫖↰⪸762⊋⫖↰⪸2838))=⫖↰⪸-1898","reverse_text":"⫖↰⪸-1898=⊲⪭(((⫖↰⪸891∷⫖↰⪸91B)≀⫉(↪⫪⫘⫖↰⪸1179))⪛(⫖↰⪸2B72⋾⨃∁⫖↰⪸912)⇤(⫖↰⪸762⊋⫖↰⪸2838))","cot":[{"info":"⫖↰⪸891∷⫖↰⪸91B=⫖↰⪸91B","layer":3},{"info":"↪⫪⫘⫖↰⪸1179=⫖↰⪸18","layer":3},{"info":"⫖↰⪸91B≀⫉⫖↰⪸18=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸2B72⋾⨃∁⫖↰⪸912=⫖↰⪸58A9B96","layer":3},{"info":"⫖↰⪸762⊋⫖↰⪸2838=⫖↰⪸-372B73B0","layer":3},{"info":"⫖↰⪸58A9B96⇤⫖↰⪸-372B73B0=⫖↰⪸13764044A","layer":2},{"info":"⫖↰⪸1772⪛⫖↰⪸13764044A=⫖↰⪸1772","layer":1},{"info":"⊲⪭⫖↰⪸1772=⫖↰⪸-1898","layer":0}]}
{"id":561,"expression_no_base_symbol":"(≱⇩⩕$3137$⪶≀⋏$2508$)≦↸(⋃($3050$∐⫣))∘((⊿$3782$)≁↽≥($7060$⫃⨇$3511$)⫚⫇)","expression":"(≱⇩⩕⫖↰⪸1995⪶≀⋏⫖↰⪸1550)≦↸(⋃(⫖↰⪸1922∐⫣))∘((⊿⫖↰⪸2232)≁↽≥(⫖↰⪸4104⫃⨇⫖↰⪸2047)⫚⫇)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14228,"operation_count":10,"complexity_ratio":1422.8,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3137,"base":12},"right_expr":{"type":"numeric_atoms","value":2508,"base":12}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3050,"base":12}}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3782,"base":12}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7060,"base":12},"right_expr":{"type":"numeric_atoms","value":3511,"base":12}}}}},"used_operators":["Z5m6OM72h2","RygbFNSyEJ","3DZMoQKiUl","zR4jO40bMj","3mBM5G4a3l","4CyGpkTkEk","SdCjLnB6rR","ncHt1X6cMc","DO4fhlbJSI","09Ly4LVMIf"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⫖↰⪸A0835","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3137","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=2508, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14659","layer":3},{"info":"compute unary expreesion, input=-14659, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=103223","layer":2},{"info":"number node, value=3050","layer":4},{"info":"compute unary expreesion, input=3050, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute unary expreesion, input=551, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=1204","layer":2},{"info":"compute binary expreesion, left_input=103223, right_input=1204, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-208173","layer":1},{"info":"number node, value=3782","layer":4},{"info":"compute unary expreesion, input=3782, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-15866","layer":3},{"info":"number node, value=7060","layer":4},{"info":"number node, value=3511","layer":4},{"info":"compute binary expreesion, left_input=7060, right_input=3511, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-14076","layer":3},{"info":"compute binary expreesion, left_input=-15866, right_input=-14076, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-1076","layer":1},{"info":"compute binary expreesion, left_input=-208173, right_input=-1076, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=208553","layer":0}],"base":12,"result_base":12,"text":"(≱⇩⩕⫖↰⪸1995⪶≀⋏⫖↰⪸1550)≦↸(⋃(⫖↰⪸1922∐⫣))∘((⊿⫖↰⪸2232)≁↽≥(⫖↰⪸4104⫃⨇⫖↰⪸2047)⫚⫇)=⫖↰⪸A0835","reverse_text":"⫖↰⪸A0835=(≱⇩⩕⫖↰⪸1995⪶≀⋏⫖↰⪸1550)≦↸(⋃(⫖↰⪸1922∐⫣))∘((⊿⫖↰⪸2232)≁↽≥(⫖↰⪸4104⫃⨇⫖↰⪸2047)⫚⫇)","cot":[{"info":"⫖↰⪸1995⪶≀⋏⫖↰⪸1550=⫖↰⪸-8597","layer":3},{"info":"≱⇩⩕⫖↰⪸-8597=⫖↰⪸4B89B","layer":2},{"info":"⫖↰⪸1922∐⫣=⫖↰⪸39B","layer":3},{"info":"⋃⫖↰⪸39B=⫖↰⪸844","layer":2},{"info":"⫖↰⪸4B89B≦↸⫖↰⪸844=⫖↰⪸-A0579","layer":1},{"info":"⊿⫖↰⪸2232=⫖↰⪸-9222","layer":3},{"info":"⫖↰⪸4104⫃⨇⫖↰⪸2047=⫖↰⪸-8190","layer":3},{"info":"⫖↰⪸-9222≁↽≥⫖↰⪸-8190=⫖↰⪸144","layer":2},{"info":"⫖↰⪸144⫚⫇=⫖↰⪸-758","layer":1},{"info":"⫖↰⪸-A0579∘⫖↰⪸-758=⫖↰⪸A0835","layer":0}]}
{"id":562,"expression_no_base_symbol":"((($1429$∁)≦≮≮)⪄(($3269$≣⋋)⊘))⫲⨊","expression":"(((⫖↰⪸9B1∁)≦≮≮)⪄((⫖↰⪸1A85≣⋋)⊘))⫲⨊","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":668,"operation_count":6,"complexity_ratio":111.33333333333333,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1429,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3269,"base":12}}}}},"used_operators":["CArV6hThFE","SUmda5xLS4","D4vGDi5EA2","jdwGQqwJi5","gu96TGCTMs","Tcnh7f0tEr"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫖↰⪸BB72","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1429","layer":3},{"info":"compute unary expreesion, input=1429, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4287","layer":2},{"info":"number node, value=3269","layer":4},{"info":"compute unary expreesion, input=3269, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4287, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=20678","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸9B1∁)≦≮≮)⪄((⫖↰⪸1A85≣⋋)⊘))⫲⨊=⫖↰⪸BB72","reverse_text":"⫖↰⪸BB72=(((⫖↰⪸9B1∁)≦≮≮)⪄((⫖↰⪸1A85≣⋋)⊘))⫲⨊","cot":[{"info":"⫖↰⪸9B1∁=⫖↰⪸9B1","layer":3},{"info":"⫖↰⪸9B1≦≮≮=⫖↰⪸-2593","layer":2},{"info":"⫖↰⪸1A85≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊘=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-2593⪄⫖↰⪸0=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸2377⫲⨊=⫖↰⪸BB72","layer":0}]}
{"id":563,"expression_no_base_symbol":"≑⋹(((⩩$4019$)⊾⪯⋞$1899$∼$2809$)⫲≸⪮(↨⩢⫨$1048$∇⊂⋱$7616$))","expression":"≑⋹(((⩩⫖↰⪸23AB)⊾⪯⋞⫖↰⪸1123∼⫖↰⪸1761)⫲≸⪮(↨⩢⫨⫖↰⪸734∇⊂⋱⫖↰⪸44A8))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5207,"operation_count":7,"complexity_ratio":743.8571428571429,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4019,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1899,"base":12},"right_expr":{"type":"numeric_atoms","value":2809,"base":12}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":7616,"base":12}}}}},"used_operators":["6B9nyZLogK","P3lXMJvFrc","HK0tfVPux8","kMhfGuqI2H","DyGG3AbaNP","Z5CJsN7DuW","nhYeJWJD5X"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4019","layer":4},{"info":"compute unary expreesion, input=4019, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=2809, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=7616","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=7616, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1550","layer":3},{"info":"compute unary expreesion, input=1550, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≑⋹(((⩩⫖↰⪸23AB)⊾⪯⋞⫖↰⪸1123∼⫖↰⪸1761)⫲≸⪮(↨⩢⫨⫖↰⪸734∇⊂⋱⫖↰⪸44A8))=NaN","reverse_text":"NaN=≑⋹(((⩩⫖↰⪸23AB)⊾⪯⋞⫖↰⪸1123∼⫖↰⪸1761)⫲≸⪮(↨⩢⫨⫖↰⪸734∇⊂⋱⫖↰⪸44A8))","cot":[{"info":"⩩⫖↰⪸23AB=NaN","layer":3},{"info":"⫖↰⪸1123∼⫖↰⪸1761=NaN","layer":3},{"info":"NaN⊾⪯⋞NaN=NaN","layer":2},{"info":"⫖↰⪸734∇⊂⋱⫖↰⪸44A8=⫖↰⪸A92","layer":3},{"info":"↨⩢⫨⫖↰⪸A92=⫖↰⪸0","layer":2},{"info":"NaN⫲≸⪮⫖↰⪸0=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
{"id":564,"expression_no_base_symbol":"((⫓⪴$1254$)⊢($4152$⊜)⊝)≁↽≥((⪓⩚($1051$⨐⩸⫘$1553$))≓∲(⩪∧⨌$3310$≦↸$8493$))","expression":"((⫓⪴⫖↰⪸886)⊢(⫖↰⪸24A0⊜)⊝)≁↽≥((⪓⩚(⫖↰⪸737⨐⩸⫘⫖↰⪸A95))≓∲(⩪∧⨌⫖↰⪸1ABA≦↸⫖↰⪸4AB9))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4746,"operation_count":10,"complexity_ratio":474.6,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1254,"base":12}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":4152,"base":12}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":1553,"base":12}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3310,"base":12},"right_expr":{"type":"numeric_atoms","value":8493,"base":12}}}}},"used_operators":["ncHt1X6cMc","O6EZ0fifGK","5twsqlHp2o","eLxqMNBOBk","Eev2Q7dYIw","s1XTVnmDOJ","u0R0Locfp2","fu6greOZ01","6iOiAJX1F8","RygbFNSyEJ"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9HNa5Wba9A","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","3ViojmjbAp","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⫖↰⪸-13968BB4","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1254","layer":4},{"info":"compute unary expreesion, input=1254, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1572516","layer":3},{"info":"number node, value=4152","layer":4},{"info":"compute unary expreesion, input=4152, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-14872","layer":3},{"info":"compute binary expreesion, left_input=1572516, right_input=-14872, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3145276","layer":2},{"info":"compute unary expreesion, input=-3145276, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-3145276","layer":1},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1553, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=3310","layer":4},{"info":"number node, value=8493","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=8493, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-22925","layer":3},{"info":"compute unary expreesion, input=-22925, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-229250","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=-229250, 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=6854707","layer":1},{"info":"compute binary expreesion, left_input=-3145276, right_input=6854707, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-47169208","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴⫖↰⪸886)⊢(⫖↰⪸24A0⊜)⊝)≁↽≥((⪓⩚(⫖↰⪸737⨐⩸⫘⫖↰⪸A95))≓∲(⩪∧⨌⫖↰⪸1ABA≦↸⫖↰⪸4AB9))=⫖↰⪸-13968BB4","reverse_text":"⫖↰⪸-13968BB4=((⫓⪴⫖↰⪸886)⊢(⫖↰⪸24A0⊜)⊝)≁↽≥((⪓⩚(⫖↰⪸737⨐⩸⫘⫖↰⪸A95))≓∲(⩪∧⨌⫖↰⪸1ABA≦↸⫖↰⪸4AB9))","cot":[{"info":"⫓⪴⫖↰⪸886=⫖↰⪸63A030","layer":3},{"info":"⫖↰⪸24A0⊜=⫖↰⪸-8734","layer":3},{"info":"⫖↰⪸63A030⊢⫖↰⪸-8734=⫖↰⪸-1078224","layer":2},{"info":"⫖↰⪸-1078224⊝=⫖↰⪸-1078224","layer":1},{"info":"⫖↰⪸737⨐⩸⫘⫖↰⪸A95=NaN","layer":3},{"info":"⪓⩚NaN=⫖↰⪸2B6","layer":2},{"info":"⫖↰⪸1ABA≦↸⫖↰⪸4AB9=⫖↰⪸-11325","layer":3},{"info":"⩪∧⨌⫖↰⪸-11325=⫖↰⪸-B0802","layer":2},{"info":"⫖↰⪸2B6≓∲⫖↰⪸-B0802=⫖↰⪸2366A17","layer":1},{"info":"⫖↰⪸-1078224≁↽≥⫖↰⪸2366A17=⫖↰⪸-13968BB4","layer":0}]}
{"id":565,"expression_no_base_symbol":"(($1387$↡⊰⫅$4729$⊜)≓∲(⨡↴$3443$)↹⊜($3716$⪓⨏))↼⊘⨖($1180$⨟⋌⩍$5952$∲⫓$1815$⩖⊿$4125$)⩁⩘($1559$≦≮≮)↳∿⪆(⊵⊁$3242$)","expression":"((⫖↰⪸977↡⊰⫅⫖↰⪸28A1⊜)≓∲(⨡↴⫖↰⪸1BAB)↹⊜(⫖↰⪸2198⪓⨏))↼⊘⨖(⫖↰⪸824⨟⋌⩍⫖↰⪸3540∲⫓⫖↰⪸1073⩖⊿⫖↰⪸2479)⩁⩘(⫖↰⪸A9B≦≮≮)↳∿⪆(⊵⊁⫖↰⪸1A62)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":74249,"operation_count":14,"complexity_ratio":5303.5,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1387,"base":12},"right_expr":{"type":"numeric_atoms","value":4729,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":3443,"base":12}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":3716,"base":12}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1180,"base":12},"right_expr":{"type":"numeric_atoms","value":5952,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1815,"base":12},"right_expr":{"type":"numeric_atoms","value":4125,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1559,"base":12}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3242,"base":12}}}}},"used_operators":["bPywburJMS","s1XTVnmDOJ","Eev2Q7dYIw","VCtxkLNOzz","9bazX3JMtO","liw5iZPkLH","4X9JU4Jbn6","gub5Cegaqo","i8ToyICDmI","rGHVDoGpnC","RZ5CV9rWsJ","Cw4SuJJGHO","D4vGDi5EA2","AvED76WdY7"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","P8v4zCKN1o","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":4},{"info":"number node, value=4729","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=4729, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=9458","layer":3},{"info":"compute unary expreesion, input=9458, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-36096","layer":2},{"info":"number node, value=3443","layer":4},{"info":"compute unary expreesion, input=3443, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4492","layer":3},{"info":"number node, value=3716","layer":4},{"info":"compute unary expreesion, input=3716, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4492, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-36096, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"number node, value=1180","layer":4},{"info":"number node, value=5952","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=5952, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=4125, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=25658","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25658, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1559","layer":4},{"info":"compute unary expreesion, input=1559, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4677","layer":3},{"info":"number node, value=3242","layer":4},{"info":"compute unary expreesion, input=3242, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=18382","layer":3},{"info":"compute binary expreesion, left_input=-4677, right_input=18382, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸977↡⊰⫅⫖↰⪸28A1⊜)≓∲(⨡↴⫖↰⪸1BAB)↹⊜(⫖↰⪸2198⪓⨏))↼⊘⨖(⫖↰⪸824⨟⋌⩍⫖↰⪸3540∲⫓⫖↰⪸1073⩖⊿⫖↰⪸2479)⩁⩘(⫖↰⪸A9B≦≮≮)↳∿⪆(⊵⊁⫖↰⪸1A62)=NaN","reverse_text":"NaN=((⫖↰⪸977↡⊰⫅⫖↰⪸28A1⊜)≓∲(⨡↴⫖↰⪸1BAB)↹⊜(⫖↰⪸2198⪓⨏))↼⊘⨖(⫖↰⪸824⨟⋌⩍⫖↰⪸3540∲⫓⫖↰⪸1073⩖⊿⫖↰⪸2479)⩁⩘(⫖↰⪸A9B≦≮≮)↳∿⪆(⊵⊁⫖↰⪸1A62)","cot":[{"info":"⫖↰⪸977↡⊰⫅⫖↰⪸28A1=⫖↰⪸5582","layer":3},{"info":"⫖↰⪸5582⊜=⫖↰⪸-18A80","layer":2},{"info":"⨡↴⫖↰⪸1BAB=⫖↰⪸2724","layer":3},{"info":"⫖↰⪸2198⪓⨏=NaN","layer":3},{"info":"⫖↰⪸2724↹⊜NaN=NaN","layer":2},{"info":"⫖↰⪸-18A80≓∲NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸824⨟⋌⩍⫖↰⪸3540=NaN","layer":3},{"info":"⫖↰⪸1073⩖⊿⫖↰⪸2479=⫖↰⪸12A22","layer":3},{"info":"NaN∲⫓⫖↰⪸12A22=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A9B≦≮≮=⫖↰⪸-2859","layer":3},{"info":"⊵⊁⫖↰⪸1A62=⫖↰⪸A77A","layer":3},{"info":"⫖↰⪸-2859↳∿⪆⫖↰⪸A77A=NaN","layer":2},{"info":"⫖↰⪸0⩁⩘NaN=NaN","layer":1},{"info":"⫖↰⪸57↼⊘⨖NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"((↪⫪⫘$1033$)⫍⨯↯)≁($3328$⨼⩣$3475$≳⇉($1963$⋓$1623$))⪎↠((⪝⪂⫅$1410$)∋$1928$↹⊜$1245$⨶)","expression":"((↪⫪⫘⫖↰⪸721)⫍⨯↯)≁(⫖↰⪸1B14⨼⩣⫖↰⪸2017≳⇉(⫖↰⪸1177⋓⫖↰⪸B33))⪎↠((⪝⪂⫅⫖↰⪸996)∋⫖↰⪸1148↹⊜⫖↰⪸879⨶)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":907,"operation_count":11,"complexity_ratio":82.45454545454545,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1033,"base":12}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3328,"base":12},"right_expr":{"type":"numeric_atoms","value":3475,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1963,"base":12},"right_expr":{"type":"numeric_atoms","value":1623,"base":12}}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1410,"base":12}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1928,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}}}}},"used_operators":["3tVxb0NHM4","8N2wDY1A35","ZcwmYACASQ","9dWsAM3GFt","V0kx6qeWkN","JxwMv5le6e","T2fj7uvVaJ","rFxw8gIMmB","ukq6epAj5P","XTarYq4gQB","9bazX3JMtO"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","f6k1SAg4EE","Qy55tPpLXF","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-106","layer":2},{"info":"number node, value=3328","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=3328, right_input=3475, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1963","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=1623, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-106, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-207270","layer":3},{"info":"number node, value=1928","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=1245, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1220","layer":3},{"info":"compute binary expreesion, left_input=-207270, right_input=-1220, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=774456","layer":2},{"info":"compute unary expreesion, input=774456, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1547166","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1547166, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↪⫪⫘⫖↰⪸721)⫍⨯↯)≁(⫖↰⪸1B14⨼⩣⫖↰⪸2017≳⇉(⫖↰⪸1177⋓⫖↰⪸B33))⪎↠((⪝⪂⫅⫖↰⪸996)∋⫖↰⪸1148↹⊜⫖↰⪸879⨶)=NaN","reverse_text":"NaN=((↪⫪⫘⫖↰⪸721)⫍⨯↯)≁(⫖↰⪸1B14⨼⩣⫖↰⪸2017≳⇉(⫖↰⪸1177⋓⫖↰⪸B33))⪎↠((⪝⪂⫅⫖↰⪸996)∋⫖↰⪸1148↹⊜⫖↰⪸879⨶)","cot":[{"info":"↪⫪⫘⫖↰⪸721=⫖↰⪸18","layer":3},{"info":"⫖↰⪸18⫍⨯↯=⫖↰⪸-8A","layer":2},{"info":"⫖↰⪸1B14⨼⩣⫖↰⪸2017=NaN","layer":3},{"info":"⫖↰⪸1177⋓⫖↰⪸B33=⫖↰⪸0","layer":3},{"info":"NaN≳⇉⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-8A≁NaN=NaN","layer":1},{"info":"⪝⪂⫅⫖↰⪸996=⫖↰⪸-9BB46","layer":3},{"info":"⫖↰⪸1148↹⊜⫖↰⪸879=⫖↰⪸-858","layer":3},{"info":"⫖↰⪸-9BB46∋⫖↰⪸-858=⫖↰⪸314220","layer":2},{"info":"⫖↰⪸314220⨶=⫖↰⪸627426","layer":1},{"info":"NaN⪎↠⫖↰⪸627426=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"⩪∧⨌(⇋⊎⋝($2472$⨥⫆$2358$↙(⨂⪏⇭$2379$)))","expression":"⩪∧⨌(⇋⊎⋝(⫖↰⪸1520⨥⫆⫖↰⪸1446↙(⨂⪏⇭⫖↰⪸1463)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24674,"operation_count":5,"complexity_ratio":4934.8,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2472,"base":12},"right_expr":{"type":"numeric_atoms","value":2358,"base":12}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2379,"base":12}}}}},"used_operators":["6iOiAJX1F8","CzM2PEoXns","yyfyN0ffXY","yXekIHxTD4","AYdpE9sXAk"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2472","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=2358, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4592","layer":3},{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=6158","layer":3},{"info":"compute binary expreesion, left_input=4592, right_input=6158, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18474","layer":2},{"info":"compute unary expreesion, input=-18474, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⩪∧⨌(⇋⊎⋝(⫖↰⪸1520⨥⫆⫖↰⪸1446↙(⨂⪏⇭⫖↰⪸1463)))=NaN","reverse_text":"NaN=⩪∧⨌(⇋⊎⋝(⫖↰⪸1520⨥⫆⫖↰⪸1446↙(⨂⪏⇭⫖↰⪸1463)))","cot":[{"info":"⫖↰⪸1520⨥⫆⫖↰⪸1446=⫖↰⪸27A8","layer":3},{"info":"⨂⪏⇭⫖↰⪸1463=⫖↰⪸3692","layer":3},{"info":"⫖↰⪸27A8↙⫖↰⪸3692=⫖↰⪸-A836","layer":2},{"info":"⇋⊎⋝⫖↰⪸-A836=NaN","layer":1},{"info":"⩪∧⨌NaN=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"($7190$⨑⩅≇$2548$⇌⫙⪟$6308$∌$5847$)⇡⇂($1125$∺≝⩲$3077$∌(≸≮$2693$))↤⩊(($7717$⇂≾⫗$7021$⪛⫼(⨈⫕$1227$))⨔⇊(($1228$↙$3024$)≀⫉($2082$⪠⩆⊳)))","expression":"(⫖↰⪸41B2⨑⩅≇⫖↰⪸1584⇌⫙⪟⫖↰⪸3798∌⫖↰⪸3473)⇡⇂(⫖↰⪸799∺≝⩲⫖↰⪸1945∌(≸≮⫖↰⪸1685))↤⩊((⫖↰⪸4571⇂≾⫗⫖↰⪸4091⪛⫼(⨈⫕⫖↰⪸863))⨔⇊((⫖↰⪸864↙⫖↰⪸1900)≀⫉(⫖↰⪸1256⪠⩆⊳)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":16839,"operation_count":15,"complexity_ratio":1122.6,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7190,"base":12},"right_expr":{"type":"numeric_atoms","value":2548,"base":12}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6308,"base":12},"right_expr":{"type":"numeric_atoms","value":5847,"base":12}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1125,"base":12},"right_expr":{"type":"numeric_atoms","value":3077,"base":12}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2693,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":7717,"base":12},"right_expr":{"type":"numeric_atoms","value":7021,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1227,"base":12}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1228,"base":12},"right_expr":{"type":"numeric_atoms","value":3024,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2082,"base":12}}}}},"used_operators":["13rbtpv6ld","UMwdvZNt44","AFVx7xoS7T","h92wMvzauj","8cLx32lpNA","KPf6cnQVty","AljMvE3RRm","JclMnS0uGI","hyuBjUqXlG","aBQ6xLxuTc","megm06wKyl","oZj3VtZNQx","yyfyN0ffXY","JLbD19bQDL"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7190","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=7190, right_input=2548, 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=-21570","layer":3},{"info":"number node, value=6308","layer":4},{"info":"number node, value=5847","layer":4},{"info":"compute binary expreesion, left_input=6308, right_input=5847, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5847","layer":3},{"info":"compute binary expreesion, left_input=-21570, right_input=-5847, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=72411","layer":2},{"info":"number node, value=1125","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=3077, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2693","layer":4},{"info":"compute unary expreesion, input=2693, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=72411, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=7717","layer":4},{"info":"number node, value=7021","layer":4},{"info":"compute binary expreesion, left_input=7717, right_input=7021, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-21, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=169","layer":2},{"info":"number node, value=1228","layer":4},{"info":"number node, value=3024","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=3024, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9072","layer":3},{"info":"number node, value=2082","layer":4},{"info":"compute unary expreesion, input=2082, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9072, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=169, right_input=2822, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸41B2⨑⩅≇⫖↰⪸1584⇌⫙⪟⫖↰⪸3798∌⫖↰⪸3473)⇡⇂(⫖↰⪸799∺≝⩲⫖↰⪸1945∌(≸≮⫖↰⪸1685))↤⩊((⫖↰⪸4571⇂≾⫗⫖↰⪸4091⪛⫼(⨈⫕⫖↰⪸863))⨔⇊((⫖↰⪸864↙⫖↰⪸1900)≀⫉(⫖↰⪸1256⪠⩆⊳)))=NaN","reverse_text":"NaN=(⫖↰⪸41B2⨑⩅≇⫖↰⪸1584⇌⫙⪟⫖↰⪸3798∌⫖↰⪸3473)⇡⇂(⫖↰⪸799∺≝⩲⫖↰⪸1945∌(≸≮⫖↰⪸1685))↤⩊((⫖↰⪸4571⇂≾⫗⫖↰⪸4091⪛⫼(⨈⫕⫖↰⪸863))⨔⇊((⫖↰⪸864↙⫖↰⪸1900)≀⫉(⫖↰⪸1256⪠⩆⊳)))","cot":[{"info":"⫖↰⪸41B2⨑⩅≇⫖↰⪸1584=⫖↰⪸-10596","layer":3},{"info":"⫖↰⪸3798∌⫖↰⪸3473=⫖↰⪸-3473","layer":3},{"info":"⫖↰⪸-10596⇌⫙⪟⫖↰⪸-3473=⫖↰⪸35AA3","layer":2},{"info":"⫖↰⪸799∺≝⩲⫖↰⪸1945=⫖↰⪸114","layer":3},{"info":"≸≮⫖↰⪸1685=NaN","layer":3},{"info":"⫖↰⪸114∌NaN=NaN","layer":2},{"info":"⫖↰⪸35AA3⇡⇂NaN=NaN","layer":1},{"info":"⫖↰⪸4571⇂≾⫗⫖↰⪸4091=⫖↰⪸-484","layer":3},{"info":"⨈⫕⫖↰⪸863=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-484⪛⫼⫖↰⪸-19=⫖↰⪸121","layer":2},{"info":"⫖↰⪸864↙⫖↰⪸1900=⫖↰⪸-5300","layer":3},{"info":"⫖↰⪸1256⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-5300≀⫉⫖↰⪸0=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸121⨔⇊⫖↰⪸1772=⫖↰⪸1772","layer":1},{"info":"NaN↤⩊⫖↰⪸1772=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"(($1037$⨪↰⇹$3058$)≠≀$1436$⫣⪄⊒$1330$)⪪(($2986$≬⋮$6080$)⩇∃⫛$1436$⨑⩅≇$1175$)∠↢(⪓⩚(⇜⊴$6303$⨒$1029$))","expression":"((⫖↰⪸725⨪↰⇹⫖↰⪸192A)≠≀⫖↰⪸9B8⫣⪄⊒⫖↰⪸92A)⪪((⫖↰⪸188A≬⋮⫖↰⪸3628)⩇∃⫛⫖↰⪸9B8⨑⩅≇⫖↰⪸81B)∠↢(⪓⩚(⇜⊴⫖↰⪸3793⨒⫖↰⪸719))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19324,"operation_count":11,"complexity_ratio":1756.7272727272727,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1037,"base":12},"right_expr":{"type":"numeric_atoms","value":3058,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1436,"base":12},"right_expr":{"type":"numeric_atoms","value":1330,"base":12}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2986,"base":12},"right_expr":{"type":"numeric_atoms","value":6080,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1436,"base":12},"right_expr":{"type":"numeric_atoms","value":1175,"base":12}}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6303,"base":12},"right_expr":{"type":"numeric_atoms","value":1029,"base":12}}}}},"used_operators":["KbjG8mgYpV","xD69zh8xqp","IwW236VD4Y","tmPS8pqC7x","RabNbG55vr","1aApVXNlOP","kbkesczE7y","h92wMvzauj","u0R0Locfp2","XwDhCwWbUn","y75s1iXyHd"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rJVOvQCfKK","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⫖↰⪸A8B90A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3058, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1037","layer":3},{"info":"number node, value=1436","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=1330, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5620","layer":3},{"info":"compute binary expreesion, left_input=1037, right_input=-5620, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=4462","layer":2},{"info":"number node, value=2986","layer":4},{"info":"number node, value=6080","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=6080, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1436","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=1175, 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=-4308","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-4308, 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=-4703","layer":2},{"info":"compute binary expreesion, left_input=4462, right_input=-4703, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-669851","layer":1},{"info":"number node, value=6303","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=6303, right_input=1029, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-37446","layer":3},{"info":"compute unary expreesion, input=-37446, 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=-1191908","layer":2},{"info":"compute unary expreesion, input=-1191908, 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=-669851, right_input=426, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=2674522","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸725⨪↰⇹⫖↰⪸192A)≠≀⫖↰⪸9B8⫣⪄⊒⫖↰⪸92A)⪪((⫖↰⪸188A≬⋮⫖↰⪸3628)⩇∃⫛⫖↰⪸9B8⨑⩅≇⫖↰⪸81B)∠↢(⪓⩚(⇜⊴⫖↰⪸3793⨒⫖↰⪸719))=⫖↰⪸A8B90A","reverse_text":"⫖↰⪸A8B90A=((⫖↰⪸725⨪↰⇹⫖↰⪸192A)≠≀⫖↰⪸9B8⫣⪄⊒⫖↰⪸92A)⪪((⫖↰⪸188A≬⋮⫖↰⪸3628)⩇∃⫛⫖↰⪸9B8⨑⩅≇⫖↰⪸81B)∠↢(⪓⩚(⇜⊴⫖↰⪸3793⨒⫖↰⪸719))","cot":[{"info":"⫖↰⪸725⨪↰⇹⫖↰⪸192A=⫖↰⪸725","layer":3},{"info":"⫖↰⪸9B8⫣⪄⊒⫖↰⪸92A=⫖↰⪸-3304","layer":3},{"info":"⫖↰⪸725≠≀⫖↰⪸-3304=⫖↰⪸26BA","layer":2},{"info":"⫖↰⪸188A≬⋮⫖↰⪸3628=⫖↰⪸604","layer":3},{"info":"⫖↰⪸9B8⨑⩅≇⫖↰⪸81B=⫖↰⪸-25B0","layer":3},{"info":"⫖↰⪸604⩇∃⫛⫖↰⪸-25B0=⫖↰⪸-287B","layer":2},{"info":"⫖↰⪸26BA⪪⫖↰⪸-287B=⫖↰⪸-28378B","layer":1},{"info":"⫖↰⪸3793⨒⫖↰⪸719=⫖↰⪸-19806","layer":3},{"info":"⇜⊴⫖↰⪸-19806=⫖↰⪸-495918","layer":2},{"info":"⪓⩚⫖↰⪸-495918=⫖↰⪸2B6","layer":1},{"info":"⫖↰⪸-28378B∠↢⫖↰⪸2B6=⫖↰⪸A8B90A","layer":0}]}
{"id":570,"expression_no_base_symbol":"∨∊⋏(($3066$↓$3711$⇣⩺⋵($2148$⫳≱↱$1210$))∇⊂⋱($2266$⨿$4213$⫸⊐$3427$⫁⪎$2976$))","expression":"∨∊⋏((⫖↰⪸1936↓⫖↰⪸2193⇣⩺⋵(⫖↰⪸12B0⫳≱↱⫖↰⪸84A))∇⊂⋱(⫖↰⪸138A⨿⫖↰⪸2531⫸⊐⫖↰⪸1B97⫁⪎⫖↰⪸1880))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52939,"operation_count":8,"complexity_ratio":6617.375,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3066,"base":12},"right_expr":{"type":"numeric_atoms","value":3711,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2148,"base":12},"right_expr":{"type":"numeric_atoms","value":1210,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2266,"base":12},"right_expr":{"type":"numeric_atoms","value":4213,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3427,"base":12},"right_expr":{"type":"numeric_atoms","value":2976,"base":12}}}}},"used_operators":["R5aXW34M0v","nhYeJWJD5X","F4yD0voBRQ","Af076pWI7l","ZvLB05nZmT","mqXw5SEYmG","abYXlopdE0","xRrnTEsQ6j"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⫖↰⪸-B501","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3066","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=3711, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=1210, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-204, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=2266","layer":4},{"info":"number node, value=4213","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=4213, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3427","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=2976, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=451","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=451, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=165","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=165, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-330","layer":1},{"info":"compute unary expreesion, input=-330, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-19729","layer":0}],"base":12,"result_base":12,"text":"∨∊⋏((⫖↰⪸1936↓⫖↰⪸2193⇣⩺⋵(⫖↰⪸12B0⫳≱↱⫖↰⪸84A))∇⊂⋱(⫖↰⪸138A⨿⫖↰⪸2531⫸⊐⫖↰⪸1B97⫁⪎⫖↰⪸1880))=⫖↰⪸-B501","reverse_text":"⫖↰⪸-B501=∨∊⋏((⫖↰⪸1936↓⫖↰⪸2193⇣⩺⋵(⫖↰⪸12B0⫳≱↱⫖↰⪸84A))∇⊂⋱(⫖↰⪸138A⨿⫖↰⪸2531⫸⊐⫖↰⪸1B97⫁⪎⫖↰⪸1880))","cot":[{"info":"⫖↰⪸1936↓⫖↰⪸2193=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸12B0⫳≱↱⫖↰⪸84A=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸-B2⇣⩺⋵⫖↰⪸-150=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸138A⨿⫖↰⪸2531=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸1B97⫁⪎⫖↰⪸1880=⫖↰⪸317","layer":3},{"info":"⫖↰⪸-227⫸⊐⫖↰⪸317=⫖↰⪸119","layer":2},{"info":"⫖↰⪸-198∇⊂⋱⫖↰⪸119=⫖↰⪸-236","layer":1},{"info":"∨∊⋏⫖↰⪸-236=⫖↰⪸-B501","layer":0}]}
{"id":571,"expression_no_base_symbol":"((⇁⨣⪵(⊀$5655$))⫃⨇$2169$≹⇙⪍$3140$⇌⫙⪟($1222$⊋≦⊧$2977$))⩘(($1074$⨻⩈⩔$6625$)∛($2997$⊹∫⫚$1550$)⋓($2570$↞⋁$5209$≎⊠⪸($5249$⪹)))","expression":"((⇁⨣⪵(⊀⫖↰⪸3333))⫃⨇⫖↰⪸1309≹⇙⪍⫖↰⪸1998⇌⫙⪟(⫖↰⪸85A⊋≦⊧⫖↰⪸1881))⩘((⫖↰⪸756⨻⩈⩔⫖↰⪸3A01)∛(⫖↰⪸1899⊹∫⫚⫖↰⪸A92)⋓(⫖↰⪸15A2↞⋁⫖↰⪸3021≎⊠⪸(⫖↰⪸3055⪹)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":541,"operation_count":14,"complexity_ratio":38.642857142857146,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":5655,"base":12}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2169,"base":12},"right_expr":{"type":"numeric_atoms","value":3140,"base":12}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1222,"base":12},"right_expr":{"type":"numeric_atoms","value":2977,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1074,"base":12},"right_expr":{"type":"numeric_atoms","value":6625,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2997,"base":12},"right_expr":{"type":"numeric_atoms","value":1550,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2570,"base":12},"right_expr":{"type":"numeric_atoms","value":5209,"base":12}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":5249,"base":12}}}}},"used_operators":["cHh1gJQ2o6","09Ly4LVMIf","inkyxCbjAn","oPMjh9089D","AFVx7xoS7T","AHs5Up7iyr","oRDoc9rAEX","T2fj7uvVaJ","w2537kitQq","nEsXyWgiOK","uWAJUKEvyW","bJkvcejdHO","RqrPlJkxDo","B3sABdIn96"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","B5M0gjZbta","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","dWAJyo7jo9","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5655","layer":4},{"info":"compute unary expreesion, input=5655, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=22358","layer":3},{"info":"compute unary expreesion, input=22358, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2169","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=3140, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=2977","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=2977, 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=-3959","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3959, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=1074","layer":4},{"info":"number node, value=6625","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=6625, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=2997","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=2997, right_input=1550, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-136","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-136, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2570","layer":4},{"info":"number node, value=5209","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=5209, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=5249","layer":4},{"info":"compute unary expreesion, input=5249, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=14990","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14990, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⇁⨣⪵(⊀⫖↰⪸3333))⫃⨇⫖↰⪸1309≹⇙⪍⫖↰⪸1998⇌⫙⪟(⫖↰⪸85A⊋≦⊧⫖↰⪸1881))⩘((⫖↰⪸756⨻⩈⩔⫖↰⪸3A01)∛(⫖↰⪸1899⊹∫⫚⫖↰⪸A92)⋓(⫖↰⪸15A2↞⋁⫖↰⪸3021≎⊠⪸(⫖↰⪸3055⪹)))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⇁⨣⪵(⊀⫖↰⪸3333))⫃⨇⫖↰⪸1309≹⇙⪍⫖↰⪸1998⇌⫙⪟(⫖↰⪸85A⊋≦⊧⫖↰⪸1881))⩘((⫖↰⪸756⨻⩈⩔⫖↰⪸3A01)∛(⫖↰⪸1899⊹∫⫚⫖↰⪸A92)⋓(⫖↰⪸15A2↞⋁⫖↰⪸3021≎⊠⪸(⫖↰⪸3055⪹)))","cot":[{"info":"⊀⫖↰⪸3333=⫖↰⪸10B32","layer":3},{"info":"⇁⨣⪵⫖↰⪸10B32=NaN","layer":2},{"info":"⫖↰⪸1309≹⇙⪍⫖↰⪸1998=NaN","layer":3},{"info":"⫖↰⪸85A⊋≦⊧⫖↰⪸1881=⫖↰⪸-235B","layer":3},{"info":"NaN⇌⫙⪟⫖↰⪸-235B=NaN","layer":2},{"info":"NaN⫃⨇NaN=NaN","layer":1},{"info":"⫖↰⪸756⨻⩈⩔⫖↰⪸3A01=⫖↰⪸-126","layer":3},{"info":"⫖↰⪸1899⊹∫⫚⫖↰⪸A92=⫖↰⪸-B4","layer":3},{"info":"⫖↰⪸-126∛⫖↰⪸-B4=⫖↰⪸57","layer":2},{"info":"⫖↰⪸15A2↞⋁⫖↰⪸3021=NaN","layer":3},{"info":"⫖↰⪸3055⪹=⫖↰⪸8812","layer":3},{"info":"NaN≎⊠⪸⫖↰⪸8812=NaN","layer":2},{"info":"⫖↰⪸57⋓NaN=NaN","layer":1},{"info":"NaN⩘NaN=⫖↰⪸114","layer":0}]}
{"id":572,"expression_no_base_symbol":"($7761$∼$2794$)≹⇙⪍$6006$⪔⊥$3416$≧⫂∧($1898$↼⊘⨖$1465$⫸⊐$1605$≦↸$4141$)≧⫂∧(≸≮(($5273$%$3844$)⇌⫙⪟($1607$⪁$1028$)))","expression":"(⫖↰⪸45A9∼⫖↰⪸174A)≹⇙⪍⫖↰⪸3586⪔⊥⫖↰⪸1B88≧⫂∧(⫖↰⪸1122↼⊘⨖⫖↰⪸A21⫸⊐⫖↰⪸B19≦↸⫖↰⪸2491)≧⫂∧(≸≮((⫖↰⪸3075%⫖↰⪸2284)⇌⫙⪟(⫖↰⪸B1B⪁⫖↰⪸718)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1373755,"operation_count":12,"complexity_ratio":114479.58333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7761,"base":12},"right_expr":{"type":"numeric_atoms","value":2794,"base":12}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6006,"base":12},"right_expr":{"type":"numeric_atoms","value":3416,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1898,"base":12},"right_expr":{"type":"numeric_atoms","value":1465,"base":12}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1605,"base":12},"right_expr":{"type":"numeric_atoms","value":4141,"base":12}}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5273,"base":12},"right_expr":{"type":"numeric_atoms","value":3844,"base":12}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1607,"base":12},"right_expr":{"type":"numeric_atoms","value":1028,"base":12}}}}},"used_operators":["Ph9nP6C5qx","AHs5Up7iyr","DyGG3AbaNP","HJ9erzHUuu","mqXw5SEYmG","bPywburJMS","RygbFNSyEJ","AljMvE3RRm","AFVx7xoS7T","k8jYdgA6NY","I7sXao9hZE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7761","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=7761, right_input=2794, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=6006","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=6006, right_input=3416, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=16993","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16993, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1898","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1465, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2708","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=4141","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=4141, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10811","layer":3},{"info":"compute binary expreesion, left_input=2708, right_input=-10811, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-21751","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21751, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=5273","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=5273, right_input=3844, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1429","layer":3},{"info":"number node, value=1607","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=1028, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1429, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=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":12,"result_base":12,"text":"(⫖↰⪸45A9∼⫖↰⪸174A)≹⇙⪍⫖↰⪸3586⪔⊥⫖↰⪸1B88≧⫂∧(⫖↰⪸1122↼⊘⨖⫖↰⪸A21⫸⊐⫖↰⪸B19≦↸⫖↰⪸2491)≧⫂∧(≸≮((⫖↰⪸3075%⫖↰⪸2284)⇌⫙⪟(⫖↰⪸B1B⪁⫖↰⪸718)))=NaN","reverse_text":"NaN=(⫖↰⪸45A9∼⫖↰⪸174A)≹⇙⪍⫖↰⪸3586⪔⊥⫖↰⪸1B88≧⫂∧(⫖↰⪸1122↼⊘⨖⫖↰⪸A21⫸⊐⫖↰⪸B19≦↸⫖↰⪸2491)≧⫂∧(≸≮((⫖↰⪸3075%⫖↰⪸2284)⇌⫙⪟(⫖↰⪸B1B⪁⫖↰⪸718)))","cot":[{"info":"⫖↰⪸45A9∼⫖↰⪸174A=NaN","layer":3},{"info":"⫖↰⪸3586⪔⊥⫖↰⪸1B88=⫖↰⪸9A01","layer":3},{"info":"NaN≹⇙⪍⫖↰⪸9A01=NaN","layer":2},{"info":"⫖↰⪸1122↼⊘⨖⫖↰⪸A21=⫖↰⪸1698","layer":3},{"info":"⫖↰⪸B19≦↸⫖↰⪸2491=⫖↰⪸-630B","layer":3},{"info":"⫖↰⪸1698⫸⊐⫖↰⪸-630B=⫖↰⪸-10707","layer":2},{"info":"NaN≧⫂∧⫖↰⪸-10707=NaN","layer":1},{"info":"⫖↰⪸3075%⫖↰⪸2284=⫖↰⪸9B1","layer":3},{"info":"⫖↰⪸B1B⪁⫖↰⪸718=NaN","layer":3},{"info":"⫖↰⪸9B1⇌⫙⪟NaN=NaN","layer":2},{"info":"≸≮NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"((↥$5982$)⩖⊿($3676$⪓⨏)⨚⇆(∓⪦$1665$)⨑⩅≇($2990$⋫))≚⊃≕(($1763$⪹)∑⇟⊟(⋠∜$2348$)≥⨤⩑(($1794$*$2985$)⊅))","expression":"((↥⫖↰⪸3566)⩖⊿(⫖↰⪸2164⪓⨏)⨚⇆(∓⪦⫖↰⪸B69)⨑⩅≇(⫖↰⪸1892⋫))≚⊃≕((⫖↰⪸102B⪹)∑⇟⊟(⋠∜⫖↰⪸1438)≥⨤⩑((⫖↰⪸1056*⫖↰⪸1889)⊅))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14507,"operation_count":14,"complexity_ratio":1036.2142857142858,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5982,"base":12}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":3676,"base":12}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1665,"base":12}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2990,"base":12}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1763,"base":12}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2348,"base":12}}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1794,"base":12},"right_expr":{"type":"numeric_atoms","value":2985,"base":12}}}}},"used_operators":["Bmrmz2XGnR","lwHaAYXP2r","RZ5CV9rWsJ","A8NUZmVepG","4X9JU4Jbn6","h92wMvzauj","D309nIvmXG","JL8yIekQnl","gJLn6v0xnP","U7g4x0WXJJ","B3sABdIn96","ZJpFhNJr3x","7p6YLioM7f","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","k8jYdgA6NY","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","tmPS8pqC7x","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5982","layer":4},{"info":"compute unary expreesion, input=5982, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":3},{"info":"number node, value=3676","layer":4},{"info":"compute unary expreesion, input=3676, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=1665","layer":4},{"info":"compute unary expreesion, input=1665, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1257","layer":3},{"info":"number node, value=2990","layer":4},{"info":"compute unary expreesion, input=2990, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2990","layer":3},{"info":"compute binary expreesion, left_input=1257, right_input=2990, 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=-3771","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3771, 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=1763","layer":4},{"info":"compute unary expreesion, input=1763, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=8018","layer":3},{"info":"number node, value=2348","layer":4},{"info":"compute unary expreesion, input=2348, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=11676","layer":3},{"info":"compute binary expreesion, left_input=8018, right_input=11676, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1794","layer":4},{"info":"number node, value=2985","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=2985, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5355090","layer":3},{"info":"compute unary expreesion, input=5355090, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↥⫖↰⪸3566)⩖⊿(⫖↰⪸2164⪓⨏)⨚⇆(∓⪦⫖↰⪸B69)⨑⩅≇(⫖↰⪸1892⋫))≚⊃≕((⫖↰⪸102B⪹)∑⇟⊟(⋠∜⫖↰⪸1438)≥⨤⩑((⫖↰⪸1056*⫖↰⪸1889)⊅))=NaN","reverse_text":"NaN=((↥⫖↰⪸3566)⩖⊿(⫖↰⪸2164⪓⨏)⨚⇆(∓⪦⫖↰⪸B69)⨑⩅≇(⫖↰⪸1892⋫))≚⊃≕((⫖↰⪸102B⪹)∑⇟⊟(⋠∜⫖↰⪸1438)≥⨤⩑((⫖↰⪸1056*⫖↰⪸1889)⊅))","cot":[{"info":"↥⫖↰⪸3566=⫖↰⪸13","layer":3},{"info":"⫖↰⪸2164⪓⨏=NaN","layer":3},{"info":"⫖↰⪸13⩖⊿NaN=NaN","layer":2},{"info":"∓⪦⫖↰⪸B69=⫖↰⪸889","layer":3},{"info":"⫖↰⪸1892⋫=⫖↰⪸1892","layer":3},{"info":"⫖↰⪸889⨑⩅≇⫖↰⪸1892=⫖↰⪸-2223","layer":2},{"info":"NaN⨚⇆⫖↰⪸-2223=NaN","layer":1},{"info":"⫖↰⪸102B⪹=⫖↰⪸4782","layer":3},{"info":"⋠∜⫖↰⪸1438=⫖↰⪸6910","layer":3},{"info":"⫖↰⪸4782∑⇟⊟⫖↰⪸6910=NaN","layer":2},{"info":"⫖↰⪸1056*⫖↰⪸1889=⫖↰⪸1963016","layer":3},{"info":"⫖↰⪸1963016⊅=⫖↰⪸-126","layer":2},{"info":"NaN≥⨤⩑⫖↰⪸-126=NaN","layer":1},{"info":"NaN≚⊃≕NaN=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"((≻⋜(⨮↦↱$1377$))⫌⩉⩟(∤↝$2298$)⨔≚≋$4313$⊕∕$5014$)⩺⪪(⨴⫝(∥⊫$4396$⪪$8424$))","expression":"((≻⋜(⨮↦↱⫖↰⪸969))⫌⩉⩟(∤↝⫖↰⪸13B6)⨔≚≋⫖↰⪸25B5⊕∕⫖↰⪸2A9A)⩺⪪(⨴⫝(∥⊫⫖↰⪸2664⪪⫖↰⪸4A60))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4740719,"operation_count":10,"complexity_ratio":474071.9,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1377,"base":12}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2298,"base":12}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4313,"base":12},"right_expr":{"type":"numeric_atoms","value":5014,"base":12}}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4396,"base":12},"right_expr":{"type":"numeric_atoms","value":8424,"base":12}}}}},"used_operators":["uvdQJvN4PV","XIIwhv8d0m","3tj9sqzovi","sYcpBQ0cFf","Z57zeUYC9z","3UMq87Qwqg","9cloC0Ngie","SVb2v531z1","P8v4zCKN1o","xD69zh8xqp"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI"],"result":"⫖↰⪸-131AA022","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2334987","layer":3},{"info":"compute unary expreesion, input=-2334987, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=2298","layer":4},{"info":"compute unary expreesion, input=2298, 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=2298","layer":3},{"info":"number node, value=4313","layer":4},{"info":"number node, value=5014","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=5014, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4313","layer":3},{"info":"compute binary expreesion, left_input=2298, right_input=4313, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=4396","layer":4},{"info":"number node, value=8424","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=8424, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-659885","layer":3},{"info":"compute unary expreesion, input=-659885, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = 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=-50, right_input=2828198, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-45263258","layer":0}],"base":12,"result_base":12,"text":"((≻⋜(⨮↦↱⫖↰⪸969))⫌⩉⩟(∤↝⫖↰⪸13B6)⨔≚≋⫖↰⪸25B5⊕∕⫖↰⪸2A9A)⩺⪪(⨴⫝(∥⊫⫖↰⪸2664⪪⫖↰⪸4A60))=⫖↰⪸-131AA022","reverse_text":"⫖↰⪸-131AA022=((≻⋜(⨮↦↱⫖↰⪸969))⫌⩉⩟(∤↝⫖↰⪸13B6)⨔≚≋⫖↰⪸25B5⊕∕⫖↰⪸2A9A)⩺⪪(⨴⫝(∥⊫⫖↰⪸2664⪪⫖↰⪸4A60))","cot":[{"info":"⨮↦↱⫖↰⪸969=⫖↰⪸-947323","layer":3},{"info":"≻⋜⫖↰⪸-947323=NaN","layer":2},{"info":"∤↝⫖↰⪸13B6=⫖↰⪸13B6","layer":3},{"info":"⫖↰⪸25B5⊕∕⫖↰⪸2A9A=⫖↰⪸25B5","layer":3},{"info":"⫖↰⪸13B6⨔≚≋⫖↰⪸25B5=⫖↰⪸5868","layer":2},{"info":"NaN⫌⩉⩟⫖↰⪸5868=⫖↰⪸-42","layer":1},{"info":"⫖↰⪸2664⪪⫖↰⪸4A60=⫖↰⪸-279A65","layer":3},{"info":"∥⊫⫖↰⪸-279A65=⫖↰⪸-47","layer":2},{"info":"⨴⫝⫖↰⪸-47=⫖↰⪸B44832","layer":1},{"info":"⫖↰⪸-42⩺⪪⫖↰⪸B44832=⫖↰⪸-131AA022","layer":0}]}
{"id":575,"expression_no_base_symbol":"(($2004$⇄$3110$)≁↽≥(⇐$1043$)⨕⋳)%($4443$⋹⋡⊁$6015$≁($6005$⩅⪻⪻)⩉⊫⨁)","expression":"((⫖↰⪸11B0⇄⫖↰⪸1972)≁↽≥(⇐⫖↰⪸72B)⨕⋳)%(⫖↰⪸26A3⋹⋡⊁⫖↰⪸3593≁(⫖↰⪸3585⩅⪻⪻)⩉⊫⨁)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65871,"operation_count":9,"complexity_ratio":7319.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2004,"base":12},"right_expr":{"type":"numeric_atoms","value":3110,"base":12}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1043,"base":12}}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4443,"base":12},"right_expr":{"type":"numeric_atoms","value":6015,"base":12}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":6005,"base":12}}}}},"used_operators":["k8jYdgA6NY","4X4GscPmMf","ncHt1X6cMc","3EYGwJThht","nmZMaaE0Q9","7qqUquhhSb","8N2wDY1A35","As8RqfVLgs","kHoXpA7yos"],"dependent_operators":["rysDP5nf3Z","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","7j4O788W3g","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"⫖↰⪸-81131B5","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2004","layer":4},{"info":"number node, value=3110","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=3110, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=396","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=396, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=9052","layer":2},{"info":"compute unary expreesion, input=9052, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=716204","layer":1},{"info":"number node, value=4443","layer":4},{"info":"number node, value=6015","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=6015, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6765","layer":3},{"info":"number node, value=6005","layer":4},{"info":"compute unary expreesion, input=6005, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-888165","layer":3},{"info":"compute binary expreesion, left_input=6765, right_input=-888165, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-24879109","layer":2},{"info":"compute unary expreesion, input=-24879109, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-24879109","layer":1},{"info":"compute binary expreesion, left_input=716204, right_input=-24879109, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-24162905","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸11B0⇄⫖↰⪸1972)≁↽≥(⇐⫖↰⪸72B)⨕⋳)%(⫖↰⪸26A3⋹⋡⊁⫖↰⪸3593≁(⫖↰⪸3585⩅⪻⪻)⩉⊫⨁)=⫖↰⪸-81131B5","reverse_text":"⫖↰⪸-81131B5=((⫖↰⪸11B0⇄⫖↰⪸1972)≁↽≥(⇐⫖↰⪸72B)⨕⋳)%(⫖↰⪸26A3⋹⋡⊁⫖↰⪸3593≁(⫖↰⪸3585⩅⪻⪻)⩉⊫⨁)","cot":[{"info":"⫖↰⪸11B0⇄⫖↰⪸1972=⫖↰⪸0","layer":3},{"info":"⇐⫖↰⪸72B=⫖↰⪸290","layer":3},{"info":"⫖↰⪸0≁↽≥⫖↰⪸290=⫖↰⪸52A4","layer":2},{"info":"⫖↰⪸52A4⨕⋳=⫖↰⪸2A6578","layer":1},{"info":"⫖↰⪸26A3⋹⋡⊁⫖↰⪸3593=⫖↰⪸3AB9","layer":3},{"info":"⫖↰⪸3585⩅⪻⪻=⫖↰⪸-369B99","layer":3},{"info":"⫖↰⪸3AB9≁⫖↰⪸-369B99=⫖↰⪸-83B9771","layer":2},{"info":"⫖↰⪸-83B9771⩉⊫⨁=⫖↰⪸-83B9771","layer":1},{"info":"⫖↰⪸2A6578%⫖↰⪸-83B9771=⫖↰⪸-81131B5","layer":0}]}
{"id":576,"expression_no_base_symbol":"($1370$∺≝⩲$3147$⊭↱($5173$↱$7053$))⨜⨶(($1440$⊀⩕)⊍⩺⋍$5352$≀⫉$2300$)⊝⪿⪼(≅≯⇸$2239$↞⋁$1217$)⪒⊣⊆(($2089$≬⋮$3845$)⨐⩸⫘$2440$⇍⊗$2173$)","expression":"(⫖↰⪸962∺≝⩲⫖↰⪸19A3⊭↱(⫖↰⪸2BB1↱⫖↰⪸40B9))⨜⨶((⫖↰⪸A00⊀⩕)⊍⩺⋍⫖↰⪸3120≀⫉⫖↰⪸13B8)⊝⪿⪼(≅≯⇸⫖↰⪸1367↞⋁⫖↰⪸855)⪒⊣⊆((⫖↰⪸1261≬⋮⫖↰⪸2285)⨐⩸⫘⫖↰⪸14B4⇍⊗⫖↰⪸1311)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62974,"operation_count":14,"complexity_ratio":4498.142857142857,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1370,"base":12},"right_expr":{"type":"numeric_atoms","value":3147,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5173,"base":12},"right_expr":{"type":"numeric_atoms","value":7053,"base":12}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1440,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5352,"base":12},"right_expr":{"type":"numeric_atoms","value":2300,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2239,"base":12},"right_expr":{"type":"numeric_atoms","value":1217,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2089,"base":12},"right_expr":{"type":"numeric_atoms","value":3845,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2440,"base":12},"right_expr":{"type":"numeric_atoms","value":2173,"base":12}}}}},"used_operators":["3Oe9XWJUTD","HiPekx5b7W","COABgblf1C","KPf6cnQVty","SR5kFfdi6N","OXDGMFPWZM","r0FS3hW4cC","oZj3VtZNQx","eRqsBgTDFp","apS25hmuAe","RqrPlJkxDo","fu6greOZ01","kbkesczE7y","5uvYHDjeKN"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","nhYeJWJD5X","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","W4YGzv6Whe","EBcxylXtPf","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","3ViojmjbAp","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1370","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=3147, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=5173","layer":4},{"info":"number node, value=7053","layer":4},{"info":"compute binary expreesion, left_input=5173, right_input=7053, 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=-20637","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-20637, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-41589","layer":2},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=5352","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=5352, right_input=2300, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2822, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-41589, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=2239","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=1217, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=3845, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2440","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=2173, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-244, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-241","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-241, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸962∺≝⩲⫖↰⪸19A3⊭↱(⫖↰⪸2BB1↱⫖↰⪸40B9))⨜⨶((⫖↰⪸A00⊀⩕)⊍⩺⋍⫖↰⪸3120≀⫉⫖↰⪸13B8)⊝⪿⪼(≅≯⇸⫖↰⪸1367↞⋁⫖↰⪸855)⪒⊣⊆((⫖↰⪸1261≬⋮⫖↰⪸2285)⨐⩸⫘⫖↰⪸14B4⇍⊗⫖↰⪸1311)=NaN","reverse_text":"NaN=(⫖↰⪸962∺≝⩲⫖↰⪸19A3⊭↱(⫖↰⪸2BB1↱⫖↰⪸40B9))⨜⨶((⫖↰⪸A00⊀⩕)⊍⩺⋍⫖↰⪸3120≀⫉⫖↰⪸13B8)⊝⪿⪼(≅≯⇸⫖↰⪸1367↞⋁⫖↰⪸855)⪒⊣⊆((⫖↰⪸1261≬⋮⫖↰⪸2285)⨐⩸⫘⫖↰⪸14B4⇍⊗⫖↰⪸1311)","cot":[{"info":"⫖↰⪸962∺≝⩲⫖↰⪸19A3=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2BB1↱⫖↰⪸40B9=⫖↰⪸-BB39","layer":3},{"info":"⫖↰⪸114⊭↱⫖↰⪸-BB39=⫖↰⪸-20099","layer":2},{"info":"⫖↰⪸A00⊀⩕=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3120≀⫉⫖↰⪸13B8=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸0⊍⩺⋍⫖↰⪸1772=NaN","layer":2},{"info":"⫖↰⪸-20099⨜⨶NaN=NaN","layer":1},{"info":"⫖↰⪸1367↞⋁⫖↰⪸855=NaN","layer":3},{"info":"≅≯⇸NaN=NaN","layer":2},{"info":"⫖↰⪸1261≬⋮⫖↰⪸2285=⫖↰⪸604","layer":3},{"info":"⫖↰⪸14B4⇍⊗⫖↰⪸1311=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸604⨐⩸⫘⫖↰⪸-184=⫖↰⪸-181","layer":2},{"info":"NaN⪒⊣⊆⫖↰⪸-181=NaN","layer":1},{"info":"NaN⊝⪿⪼NaN=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"((($1562$+$1356$)⪭($1068$+⇶⊼$3667$))⇗⋫)⊾⪯⋞(($2178$∠⫱$1203$)⩇∃⫛(⫓⪴$4097$))≹⇙⪍(($2105$≃⋄)⩇∃⫛$5635$⫣⪄⊒$1085$)","expression":"(((⫖↰⪸AA2+⫖↰⪸950)⪭(⫖↰⪸750+⇶⊼⫖↰⪸2157))⇗⋫)⊾⪯⋞((⫖↰⪸1316∠⫱⫖↰⪸843)⩇∃⫛(⫓⪴⫖↰⪸2455))≹⇙⪍((⫖↰⪸1275≃⋄)⩇∃⫛⫖↰⪸3317⫣⪄⊒⫖↰⪸765)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4242,"operation_count":12,"complexity_ratio":353.5,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1562,"base":12},"right_expr":{"type":"numeric_atoms","value":1356,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1068,"base":12},"right_expr":{"type":"numeric_atoms","value":3667,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2178,"base":12},"right_expr":{"type":"numeric_atoms","value":1203,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4097,"base":12}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":2105,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5635,"base":12},"right_expr":{"type":"numeric_atoms","value":1085,"base":12}}}}},"used_operators":["HK0tfVPux8","hpqmaQFPrd","j9kHMeSvPp","W4YGzv6Whe","TpPTUOHfaN","AHs5Up7iyr","1aApVXNlOP","QvoQhV0rrE","eLxqMNBOBk","aN9a90urxU","RabNbG55vr"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rxpJgHHUmx","COABgblf1C","xUOZtlo3hN","AHs5Up7iyr","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","uFcxV4UQCh","jLgFTUHLKL","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1562","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1356, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2918","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=3667, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2918, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=2178","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=1203, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=4097","layer":4},{"info":"compute unary expreesion, input=4097, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16785409","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=16785409, 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=16784648","layer":2},{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=5635","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=5635, right_input=1085, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3090","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=-3090, 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=-3381","layer":2},{"info":"compute binary expreesion, left_input=16784648, right_input=-3381, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":12,"result_base":12,"text":"(((⫖↰⪸AA2+⫖↰⪸950)⪭(⫖↰⪸750+⇶⊼⫖↰⪸2157))⇗⋫)⊾⪯⋞((⫖↰⪸1316∠⫱⫖↰⪸843)⩇∃⫛(⫓⪴⫖↰⪸2455))≹⇙⪍((⫖↰⪸1275≃⋄)⩇∃⫛⫖↰⪸3317⫣⪄⊒⫖↰⪸765)=NaN","reverse_text":"NaN=(((⫖↰⪸AA2+⫖↰⪸950)⪭(⫖↰⪸750+⇶⊼⫖↰⪸2157))⇗⋫)⊾⪯⋞((⫖↰⪸1316∠⫱⫖↰⪸843)⩇∃⫛(⫓⪴⫖↰⪸2455))≹⇙⪍((⫖↰⪸1275≃⋄)⩇∃⫛⫖↰⪸3317⫣⪄⊒⫖↰⪸765)","cot":[{"info":"⫖↰⪸AA2+⫖↰⪸950=⫖↰⪸1832","layer":3},{"info":"⫖↰⪸750+⇶⊼⫖↰⪸2157=NaN","layer":3},{"info":"⫖↰⪸1832⪭NaN=NaN","layer":2},{"info":"NaN⇗⋫=NaN","layer":1},{"info":"⫖↰⪸1316∠⫱⫖↰⪸843=⫖↰⪸86A","layer":3},{"info":"⫓⪴⫖↰⪸2455=⫖↰⪸5755941","layer":3},{"info":"⫖↰⪸86A⩇∃⫛⫖↰⪸5755941=⫖↰⪸5755408","layer":2},{"info":"⫖↰⪸1275≃⋄=⫖↰⪸538","layer":3},{"info":"⫖↰⪸3317⫣⪄⊒⫖↰⪸765=⫖↰⪸-1956","layer":3},{"info":"⫖↰⪸538⩇∃⫛⫖↰⪸-1956=⫖↰⪸-1B59","layer":2},{"info":"⫖↰⪸5755408≹⇙⪍⫖↰⪸-1B59=NaN","layer":1},{"info":"NaN⊾⪯⋞NaN=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"($1118$⪗)⩍⋽⫝̸($3023$⪛⫼$4289$)⇷((↸⊣$2232$)∽$1512$⨔⇊$1307$)⋥≓≎($2435$⋹⋡⊁$1148$)⇡⇂(⋃$1318$)≄⊠(⊊≼∋(⫖→$1005$))","expression":"(⫖↰⪸792⪗)⩍⋽⫝̸(⫖↰⪸18BB⪛⫼⫖↰⪸2595)⇷((↸⊣⫖↰⪸1360)∽⫖↰⪸A60⨔⇊⫖↰⪸90B)⋥≓≎(⫖↰⪸14AB⋹⋡⊁⫖↰⪸7B8)⇡⇂(⋃⫖↰⪸91A)≄⊠(⊊≼∋(⫖→⫖↰⪸6B9))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":80283,"operation_count":14,"complexity_ratio":5734.5,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1118,"base":12}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3023,"base":12},"right_expr":{"type":"numeric_atoms","value":4289,"base":12}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2232,"base":12}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1512,"base":12},"right_expr":{"type":"numeric_atoms","value":1307,"base":12}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2435,"base":12},"right_expr":{"type":"numeric_atoms","value":1148,"base":12}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1318,"base":12}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1005,"base":12}}}}},"used_operators":["Qy55tPpLXF","mp7IySMOzn","BiWNJpBvwn","VEQNXA0ZBg","hyuBjUqXlG","y4ImoPnbV5","wztAlM01eG","JclMnS0uGI","vXNesLlMH1","UMwdvZNt44","As8RqfVLgs","3mBM5G4a3l","FWz7pXsQhA","U4ylXWHChL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","dWAJyo7jo9","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","QMFrweE19q","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g55IO6H4Gj","B5M0gjZbta","jCPkEVoL5K","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"⫖↰⪸-5203","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3023","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=4289, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=22","layer":2},{"info":"number node, value=2232","layer":4},{"info":"compute unary expreesion, input=2232, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1945","layer":3},{"info":"number node, value=1512","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1307, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1307","layer":3},{"info":"compute binary expreesion, left_input=-1945, right_input=1307, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=5982","layer":2},{"info":"compute binary expreesion, left_input=22, right_input=5982, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11964","layer":1},{"info":"number node, value=2435","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=1148, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1898","layer":3},{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2738","layer":3},{"info":"compute binary expreesion, left_input=1898, right_input=2738, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-1106","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1106, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=11964, right_input=1500, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-8931","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸792⪗)⩍⋽⫝̸(⫖↰⪸18BB⪛⫼⫖↰⪸2595)⇷((↸⊣⫖↰⪸1360)∽⫖↰⪸A60⨔⇊⫖↰⪸90B)⋥≓≎(⫖↰⪸14AB⋹⋡⊁⫖↰⪸7B8)⇡⇂(⋃⫖↰⪸91A)≄⊠(⊊≼∋(⫖→⫖↰⪸6B9))=⫖↰⪸-5203","reverse_text":"⫖↰⪸-5203=(⫖↰⪸792⪗)⩍⋽⫝̸(⫖↰⪸18BB⪛⫼⫖↰⪸2595)⇷((↸⊣⫖↰⪸1360)∽⫖↰⪸A60⨔⇊⫖↰⪸90B)⋥≓≎(⫖↰⪸14AB⋹⋡⊁⫖↰⪸7B8)⇡⇂(⋃⫖↰⪸91A)≄⊠(⊊≼∋(⫖→⫖↰⪸6B9))","cot":[{"info":"⫖↰⪸792⪗=NaN","layer":3},{"info":"⫖↰⪸18BB⪛⫼⫖↰⪸2595=⫖↰⪸688","layer":3},{"info":"NaN⩍⋽⫝̸⫖↰⪸688=⫖↰⪸1A","layer":2},{"info":"↸⊣⫖↰⪸1360=⫖↰⪸-1161","layer":3},{"info":"⫖↰⪸A60⨔⇊⫖↰⪸90B=⫖↰⪸90B","layer":3},{"info":"⫖↰⪸-1161∽⫖↰⪸90B=⫖↰⪸3566","layer":2},{"info":"⫖↰⪸1A⇷⫖↰⪸3566=⫖↰⪸6B10","layer":1},{"info":"⫖↰⪸14AB⋹⋡⊁⫖↰⪸7B8=⫖↰⪸1122","layer":3},{"info":"⋃⫖↰⪸91A=⫖↰⪸1702","layer":3},{"info":"⫖↰⪸1122⇡⇂⫖↰⪸1702=NaN","layer":2},{"info":"⫖→⫖↰⪸6B9=⫖↰⪸129","layer":3},{"info":"⊊≼∋⫖↰⪸129=⫖↰⪸-782","layer":2},{"info":"NaN≄⊠⫖↰⪸-782=⫖↰⪸A50","layer":1},{"info":"⫖↰⪸6B10⋥≓≎⫖↰⪸A50=⫖↰⪸-5203","layer":0}]}
{"id":579,"expression_no_base_symbol":"(≘(($3897$⫩⊇)∠↢$2036$⨽$1739$))⪬((($3471$⨓$1551$)⨕⋳)⪪((≘$1579$)⫡⨏$3665$⊔$8703$))","expression":"(≘((⫖↰⪸2309⫩⊇)∠↢⫖↰⪸1218⨽⫖↰⪸100B))⪬(((⫖↰⪸2013⨓⫖↰⪸A93)⨕⋳)⪪((≘⫖↰⪸AB7)⫡⨏⫖↰⪸2155⊔⫖↰⪸5053))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5061,"operation_count":11,"complexity_ratio":460.09090909090907,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3897,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2036,"base":12},"right_expr":{"type":"numeric_atoms","value":1739,"base":12}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3471,"base":12},"right_expr":{"type":"numeric_atoms","value":1551,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1579,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3665,"base":12},"right_expr":{"type":"numeric_atoms","value":8703,"base":12}}}}},"used_operators":["Ez1Nq5fNfI","tcjXMdvYtA","KbjG8mgYpV","BjRHVeLaeN","8HhzD0ZcuI","xD69zh8xqp","4X4GscPmMf","3ViojmjbAp","QMFrweE19q","E4l6HwMY31"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","FU0Cs4j7VP","JclMnS0uGI","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3897","layer":4},{"info":"compute unary expreesion, input=3897, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3855","layer":3},{"info":"number node, value=2036","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=1739, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12439791","layer":3},{"info":"compute binary expreesion, left_input=-3855, right_input=-12439791, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=174173576","layer":2},{"info":"compute unary expreesion, input=174173576, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":1},{"info":"number node, value=3471","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=1551, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1554","layer":3},{"info":"compute unary expreesion, input=-1554, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-139654","layer":2},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3482479","layer":3},{"info":"number node, value=3665","layer":4},{"info":"number node, value=8703","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=8703, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=48445","layer":3},{"info":"compute binary expreesion, left_input=3482479, right_input=48445, 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=17510068","layer":2},{"info":"compute binary expreesion, left_input=-139654, right_input=17510068, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6206, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(≘((⫖↰⪸2309⫩⊇)∠↢⫖↰⪸1218⨽⫖↰⪸100B))⪬(((⫖↰⪸2013⨓⫖↰⪸A93)⨕⋳)⪪((≘⫖↰⪸AB7)⫡⨏⫖↰⪸2155⊔⫖↰⪸5053))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(≘((⫖↰⪸2309⫩⊇)∠↢⫖↰⪸1218⨽⫖↰⪸100B))⪬(((⫖↰⪸2013⨓⫖↰⪸A93)⨕⋳)⪪((≘⫖↰⪸AB7)⫡⨏⫖↰⪸2155⊔⫖↰⪸5053))","cot":[{"info":"⫖↰⪸2309⫩⊇=⫖↰⪸-2293","layer":3},{"info":"⫖↰⪸1218⨽⫖↰⪸100B=⫖↰⪸-41BAB53","layer":3},{"info":"⫖↰⪸-2293∠↢⫖↰⪸-41BAB53=⫖↰⪸4A3B6A88","layer":2},{"info":"≘⫖↰⪸4A3B6A88=NaN","layer":1},{"info":"⫖↰⪸2013⨓⫖↰⪸A93=⫖↰⪸-A96","layer":3},{"info":"⫖↰⪸-A96⨕⋳=⫖↰⪸-6899A","layer":2},{"info":"≘⫖↰⪸AB7=⫖↰⪸11BB3A7","layer":3},{"info":"⫖↰⪸2155⊔⫖↰⪸5053=⫖↰⪸24051","layer":3},{"info":"⫖↰⪸11BB3A7⫡⨏⫖↰⪸24051=⫖↰⪸5A45184","layer":2},{"info":"⫖↰⪸-6899A⪪⫖↰⪸5A45184=⫖↰⪸-3712","layer":1},{"info":"NaN⪬⫖↰⪸-3712=⫖↰⪸86A","layer":0}]}
{"id":580,"expression_no_base_symbol":"(($4738$⫰⋱$3822$)≒∊$3946$↹⊜$5512$)↳≱(⨣⨃⇪($5035$⊲⩕⊾$5240$))∊∟⩊(($6733$⋷$1396$)+⇶⊼$3555$⨓$7501$⩵∡(⋠∜($3891$⫸⇳$1733$)))","expression":"((⫖↰⪸28AA⫰⋱⫖↰⪸2266)≒∊⫖↰⪸234A↹⊜⫖↰⪸3234)↳≱(⨣⨃⇪(⫖↰⪸2AB7⊲⩕⊾⫖↰⪸3048))∊∟⩊((⫖↰⪸3A91⋷⫖↰⪸984)+⇶⊼⫖↰⪸2083⨓⫖↰⪸4411⩵∡(⋠∜(⫖↰⪸2303⫸⇳⫖↰⪸1005)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7720,"operation_count":13,"complexity_ratio":593.8461538461538,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4738,"base":12},"right_expr":{"type":"numeric_atoms","value":3822,"base":12}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3946,"base":12},"right_expr":{"type":"numeric_atoms","value":5512,"base":12}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5035,"base":12},"right_expr":{"type":"numeric_atoms","value":5240,"base":12}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6733,"base":12},"right_expr":{"type":"numeric_atoms","value":1396,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3555,"base":12},"right_expr":{"type":"numeric_atoms","value":7501,"base":12}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3891,"base":12},"right_expr":{"type":"numeric_atoms","value":1733,"base":12}}}}},"used_operators":["ddLRYrp01A","JwTKLfZU96","5KTvxBwnZo","6o9Blt3TJ6","9bazX3JMtO","AcOhelriW5","DmTXOeWf9t","Y7wcNGrDQJ","TpPTUOHfaN","23Mk6UjR3U","3ViojmjbAp","ZJpFhNJr3x","gx7XJ7hdpj"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4738","layer":4},{"info":"number node, value=3822","layer":4},{"info":"compute binary expreesion, left_input=4738, right_input=3822, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4705","layer":3},{"info":"number node, value=3946","layer":4},{"info":"number node, value=5512","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=5512, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-14252","layer":3},{"info":"compute binary expreesion, left_input=-4705, right_input=-14252, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=5189","layer":2},{"info":"number node, value=5035","layer":4},{"info":"number node, value=5240","layer":4},{"info":"compute binary expreesion, left_input=5035, right_input=5240, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-129590","layer":3},{"info":"compute unary expreesion, input=-129590, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=5189, right_input=1405, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=6733","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=6733, right_input=1396, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3941","layer":3},{"info":"number node, value=3555","layer":4},{"info":"number node, value=7501","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=7501, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7504","layer":3},{"info":"compute binary expreesion, left_input=-3941, right_input=-7504, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3891","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=1733, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2284","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2284, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸28AA⫰⋱⫖↰⪸2266)≒∊⫖↰⪸234A↹⊜⫖↰⪸3234)↳≱(⨣⨃⇪(⫖↰⪸2AB7⊲⩕⊾⫖↰⪸3048))∊∟⩊((⫖↰⪸3A91⋷⫖↰⪸984)+⇶⊼⫖↰⪸2083⨓⫖↰⪸4411⩵∡(⋠∜(⫖↰⪸2303⫸⇳⫖↰⪸1005)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸28AA⫰⋱⫖↰⪸2266)≒∊⫖↰⪸234A↹⊜⫖↰⪸3234)↳≱(⨣⨃⇪(⫖↰⪸2AB7⊲⩕⊾⫖↰⪸3048))∊∟⩊((⫖↰⪸3A91⋷⫖↰⪸984)+⇶⊼⫖↰⪸2083⨓⫖↰⪸4411⩵∡(⋠∜(⫖↰⪸2303⫸⇳⫖↰⪸1005)))","cot":[{"info":"⫖↰⪸28AA⫰⋱⫖↰⪸2266=⫖↰⪸-2881","layer":3},{"info":"⫖↰⪸234A↹⊜⫖↰⪸3234=⫖↰⪸-82B8","layer":3},{"info":"⫖↰⪸-2881≒∊⫖↰⪸-82B8=⫖↰⪸3005","layer":2},{"info":"⫖↰⪸2AB7⊲⩕⊾⫖↰⪸3048=⫖↰⪸-62BB2","layer":3},{"info":"⨣⨃⇪⫖↰⪸-62BB2=⫖↰⪸991","layer":2},{"info":"⫖↰⪸3005↳≱⫖↰⪸991=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3A91⋷⫖↰⪸984=⫖↰⪸-2345","layer":3},{"info":"⫖↰⪸2083⨓⫖↰⪸4411=⫖↰⪸-4414","layer":3},{"info":"⫖↰⪸-2345+⇶⊼⫖↰⪸-4414=NaN","layer":2},{"info":"⫖↰⪸2303⫸⇳⫖↰⪸1005=⫖↰⪸0","layer":3},{"info":"⋠∜⫖↰⪸0=⫖↰⪸13A4","layer":2},{"info":"NaN⩵∡⫖↰⪸13A4=NaN","layer":1},{"info":"⫖↰⪸0∊∟⩊NaN=⫖↰⪸0","layer":0}]}
{"id":581,"expression_no_base_symbol":"(($5262$⨸⪁$3852$)⩌⋺($2721$⪒$2654$)∙⊟(→⩰$2087$)⫸⊐$4198$⪒⊣⊆$2164$)⨓(⪛⨧(($1381$⨵⪆$2182$)≀⩗∶$3565$≧⫂∧$2507$))","expression":"((⫖↰⪸3066⨸⪁⫖↰⪸2290)⩌⋺(⫖↰⪸16A9⪒⫖↰⪸1652)∙⊟(→⩰⫖↰⪸125B)⫸⊐⫖↰⪸251A⪒⊣⊆⫖↰⪸1304)⨓(⪛⨧((⫖↰⪸971⨵⪆⫖↰⪸131A)≀⩗∶⫖↰⪸2091≧⫂∧⫖↰⪸154B))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16895,"operation_count":12,"complexity_ratio":1407.9166666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5262,"base":12},"right_expr":{"type":"numeric_atoms","value":3852,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2721,"base":12},"right_expr":{"type":"numeric_atoms","value":2654,"base":12}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2087,"base":12}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4198,"base":12},"right_expr":{"type":"numeric_atoms","value":2164,"base":12}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1381,"base":12},"right_expr":{"type":"numeric_atoms","value":2182,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3565,"base":12},"right_expr":{"type":"numeric_atoms","value":2507,"base":12}}}}},"used_operators":["3ViojmjbAp","SxTAKzQCrw","g7Hmc5v1ko","g55IO6H4Gj","f6k1SAg4EE","mqXw5SEYmG","o8Pngz0Tml","eRqsBgTDFp","6NJAcO2OWT","8INZBEW696","2DQ55sFlQl","Ph9nP6C5qx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-930","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5262","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=5262, right_input=3852, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18228","layer":3},{"info":"number node, value=2721","layer":4},{"info":"number node, value=2654","layer":4},{"info":"compute binary expreesion, left_input=2721, right_input=2654, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5375","layer":3},{"info":"compute binary expreesion, left_input=18228, right_input=-5375, 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=-12974","layer":2},{"info":"number node, value=2087","layer":4},{"info":"compute unary expreesion, input=2087, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=4198","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=4198, right_input=2164, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8396","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8396, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12974, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=184406","layer":1},{"info":"number node, value=1381","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=2182, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3565","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=3565, right_input=2507, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2034","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2034, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-36","layer":2},{"info":"compute unary expreesion, input=-36, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1329","layer":1},{"info":"compute binary expreesion, left_input=184406, right_input=1329, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1332","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3066⨸⪁⫖↰⪸2290)⩌⋺(⫖↰⪸16A9⪒⫖↰⪸1652)∙⊟(→⩰⫖↰⪸125B)⫸⊐⫖↰⪸251A⪒⊣⊆⫖↰⪸1304)⨓(⪛⨧((⫖↰⪸971⨵⪆⫖↰⪸131A)≀⩗∶⫖↰⪸2091≧⫂∧⫖↰⪸154B))=⫖↰⪸-930","reverse_text":"⫖↰⪸-930=((⫖↰⪸3066⨸⪁⫖↰⪸2290)⩌⋺(⫖↰⪸16A9⪒⫖↰⪸1652)∙⊟(→⩰⫖↰⪸125B)⫸⊐⫖↰⪸251A⪒⊣⊆⫖↰⪸1304)⨓(⪛⨧((⫖↰⪸971⨵⪆⫖↰⪸131A)≀⩗∶⫖↰⪸2091≧⫂∧⫖↰⪸154B))","cot":[{"info":"⫖↰⪸3066⨸⪁⫖↰⪸2290=⫖↰⪸A670","layer":3},{"info":"⫖↰⪸16A9⪒⫖↰⪸1652=⫖↰⪸-313B","layer":3},{"info":"⫖↰⪸A670⩌⋺⫖↰⪸-313B=⫖↰⪸-7612","layer":2},{"info":"→⩰⫖↰⪸125B=NaN","layer":3},{"info":"⫖↰⪸251A⪒⊣⊆⫖↰⪸1304=⫖↰⪸4A38","layer":3},{"info":"NaN⫸⊐⫖↰⪸4A38=NaN","layer":2},{"info":"⫖↰⪸-7612∙⊟NaN=⫖↰⪸8A872","layer":1},{"info":"⫖↰⪸971⨵⪆⫖↰⪸131A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2091≧⫂∧⫖↰⪸154B=⫖↰⪸1216","layer":3},{"info":"⫖↰⪸114≀⩗∶⫖↰⪸1216=⫖↰⪸-30","layer":2},{"info":"⪛⨧⫖↰⪸-30=⫖↰⪸929","layer":1},{"info":"⫖↰⪸8A872⨓⫖↰⪸929=⫖↰⪸-930","layer":0}]}
{"id":582,"expression_no_base_symbol":"(($6386$⋅⇍$1888$)⪬($1090$⩵∡$2253$)⨑≵⋬(⋃$1060$⋕⪉⪜$1644$))⩍⋽⫝̸($2029$⪭$8948$≧⫂∧(≦∁$4028$)⇄($1979$*$3415$)≒∊$2027$↹⊜$4706$)","expression":"((⫖↰⪸3842⋅⇍⫖↰⪸1114)⪬(⫖↰⪸76A⩵∡⫖↰⪸1379)⨑≵⋬(⋃⫖↰⪸744⋕⪉⪜⫖↰⪸B50))⩍⋽⫝̸(⫖↰⪸1211⪭⫖↰⪸5218≧⫂∧(≦∁⫖↰⪸23B8)⇄(⫖↰⪸118B*⫖↰⪸1B87)≒∊⫖↰⪸120B↹⊜⫖↰⪸2882)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2660,"operation_count":14,"complexity_ratio":190.0,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6386,"base":12},"right_expr":{"type":"numeric_atoms","value":1888,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1090,"base":12},"right_expr":{"type":"numeric_atoms","value":2253,"base":12}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1060,"base":12},"right_expr":{"type":"numeric_atoms","value":1644,"base":12}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2029,"base":12},"right_expr":{"type":"numeric_atoms","value":8948,"base":12}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4028,"base":12}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1979,"base":12},"right_expr":{"type":"numeric_atoms","value":3415,"base":12}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2027,"base":12},"right_expr":{"type":"numeric_atoms","value":4706,"base":12}}}}},"used_operators":["BiWNJpBvwn","XnXgA4xnOs","Ez1Nq5fNfI","AdZkA7nFnk","Y7wcNGrDQJ","3mBM5G4a3l","z6LnFrNh4i","3EYGwJThht","Ph9nP6C5qx","j9kHMeSvPp","9ICcGScMcE","5KTvxBwnZo","9HNa5Wba9A","9bazX3JMtO"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","NTOWxs364D","glklzrTFfD","tifHPKVTfV","g55IO6H4Gj","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⫖↰⪸-155","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6386","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=6386, right_input=1888, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=2253, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-48","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-48, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1060","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=1644, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=510","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=510, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=3979","layer":1},{"info":"number node, value=2029","layer":4},{"info":"number node, value=8948","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=8948, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=4028","layer":4},{"info":"compute unary expreesion, input=4028, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4028","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=4028, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3555","layer":2},{"info":"number node, value=1979","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=3415, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6758285","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=4706, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-14866","layer":3},{"info":"compute binary expreesion, left_input=6758285, right_input=-14866, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6757801","layer":2},{"info":"compute binary expreesion, left_input=3555, right_input=-6757801, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3842⋅⇍⫖↰⪸1114)⪬(⫖↰⪸76A⩵∡⫖↰⪸1379)⨑≵⋬(⋃⫖↰⪸744⋕⪉⪜⫖↰⪸B50))⩍⋽⫝̸(⫖↰⪸1211⪭⫖↰⪸5218≧⫂∧(≦∁⫖↰⪸23B8)⇄(⫖↰⪸118B*⫖↰⪸1B87)≒∊⫖↰⪸120B↹⊜⫖↰⪸2882)=⫖↰⪸-155","reverse_text":"⫖↰⪸-155=((⫖↰⪸3842⋅⇍⫖↰⪸1114)⪬(⫖↰⪸76A⩵∡⫖↰⪸1379)⨑≵⋬(⋃⫖↰⪸744⋕⪉⪜⫖↰⪸B50))⩍⋽⫝̸(⫖↰⪸1211⪭⫖↰⪸5218≧⫂∧(≦∁⫖↰⪸23B8)⇄(⫖↰⪸118B*⫖↰⪸1B87)≒∊⫖↰⪸120B↹⊜⫖↰⪸2882)","cot":[{"info":"⫖↰⪸3842⋅⇍⫖↰⪸1114=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸76A⩵∡⫖↰⪸1379=⫖↰⪸-40","layer":3},{"info":"⫖↰⪸-1A⪬⫖↰⪸-40=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸744⋕⪉⪜⫖↰⪸B50=⫖↰⪸150","layer":3},{"info":"⋃⫖↰⪸150=⫖↰⪸366","layer":2},{"info":"⫖↰⪸86A⨑≵⋬⫖↰⪸366=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸1211⪭⫖↰⪸5218=⫖↰⪸5","layer":3},{"info":"≦∁⫖↰⪸23B8=⫖↰⪸23B8","layer":3},{"info":"⫖↰⪸5≧⫂∧⫖↰⪸23B8=⫖↰⪸2083","layer":2},{"info":"⫖↰⪸118B*⫖↰⪸1B87=⫖↰⪸231B065","layer":3},{"info":"⫖↰⪸120B↹⊜⫖↰⪸2882=⫖↰⪸-872A","layer":3},{"info":"⫖↰⪸231B065≒∊⫖↰⪸-872A=⫖↰⪸-231A921","layer":2},{"info":"⫖↰⪸2083⇄⫖↰⪸-231A921=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2377⩍⋽⫝̸⫖↰⪸0=⫖↰⪸-155","layer":0}]}
{"id":583,"expression_no_base_symbol":"(($6800$≭$4069$∷)↙($3919$≎⪠$1059$*$4768$≦↸$4143$))⋅⇍$6604$∺≝⩲$3523$⩌⋺(⊆⋠$3896$)⋝⋈⪟($1739$⫢⨠$2973$∠↢$1369$⨽$1397$)","expression":"((⫖↰⪸3B28≭⫖↰⪸2431∷)↙(⫖↰⪸2327≎⪠⫖↰⪸743*⫖↰⪸2914≦↸⫖↰⪸2493))⋅⇍⫖↰⪸39A4∺≝⩲⫖↰⪸2057⩌⋺(⊆⋠⫖↰⪸2308)⋝⋈⪟(⫖↰⪸100B⫢⨠⫖↰⪸1879∠↢⫖↰⪸961⨽⫖↰⪸985)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37780,"operation_count":14,"complexity_ratio":2698.5714285714284,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6800,"base":12},"right_expr":{"type":"numeric_atoms","value":4069,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3919,"base":12},"right_expr":{"type":"numeric_atoms","value":1059,"base":12}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4768,"base":12},"right_expr":{"type":"numeric_atoms","value":4143,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6604,"base":12},"right_expr":{"type":"numeric_atoms","value":3523,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3896,"base":12}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1739,"base":12},"right_expr":{"type":"numeric_atoms","value":2973,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1369,"base":12},"right_expr":{"type":"numeric_atoms","value":1397,"base":12}}}}},"used_operators":["AdZkA7nFnk","yyfyN0ffXY","nFAOW8KTqp","rxpJgHHUmx","9HNa5Wba9A","aNhz54LH3e","RygbFNSyEJ","2DDjHMKMc0","g7Hmc5v1ko","KPf6cnQVty","EBhcHTkKd8","KbjG8mgYpV","xlXykHWxX1","8HhzD0ZcuI"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","AHs5Up7iyr","W4YGzv6Whe","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸-1A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6800","layer":4},{"info":"number node, value=4069","layer":4},{"info":"compute binary expreesion, left_input=6800, right_input=4069, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":2},{"info":"number node, value=3919","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=1059, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=4768","layer":4},{"info":"number node, value=4143","layer":4},{"info":"compute binary expreesion, left_input=4768, right_input=4143, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-17141","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-17141, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-335243678","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-335243678, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=6604","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=6604, right_input=3523, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3896","layer":4},{"info":"compute unary expreesion, input=3896, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-281","layer":2},{"info":"number node, value=1739","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=2973, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1397, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5625360","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5625360, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=78755482","layer":2},{"info":"compute binary expreesion, left_input=-281, right_input=78755482, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-281","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-281, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3B28≭⫖↰⪸2431∷)↙(⫖↰⪸2327≎⪠⫖↰⪸743*⫖↰⪸2914≦↸⫖↰⪸2493))⋅⇍⫖↰⪸39A4∺≝⩲⫖↰⪸2057⩌⋺(⊆⋠⫖↰⪸2308)⋝⋈⪟(⫖↰⪸100B⫢⨠⫖↰⪸1879∠↢⫖↰⪸961⨽⫖↰⪸985)=⫖↰⪸-1A","reverse_text":"⫖↰⪸-1A=((⫖↰⪸3B28≭⫖↰⪸2431∷)↙(⫖↰⪸2327≎⪠⫖↰⪸743*⫖↰⪸2914≦↸⫖↰⪸2493))⋅⇍⫖↰⪸39A4∺≝⩲⫖↰⪸2057⩌⋺(⊆⋠⫖↰⪸2308)⋝⋈⪟(⫖↰⪸100B⫢⨠⫖↰⪸1879∠↢⫖↰⪸961⨽⫖↰⪸985)","cot":[{"info":"⫖↰⪸3B28≭⫖↰⪸2431=NaN","layer":3},{"info":"NaN∷=NaN","layer":2},{"info":"⫖↰⪸2327≎⪠⫖↰⪸743=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸2914≦↸⫖↰⪸2493=⫖↰⪸-9B05","layer":3},{"info":"⫖↰⪸B39A*⫖↰⪸-9B05=⫖↰⪸-94332912","layer":2},{"info":"NaN↙⫖↰⪸-94332912=NaN","layer":1},{"info":"⫖↰⪸39A4∺≝⩲⫖↰⪸2057=⫖↰⪸114","layer":3},{"info":"⊆⋠⫖↰⪸2308=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⩌⋺⫖↰⪸0=⫖↰⪸-1B5","layer":2},{"info":"⫖↰⪸100B⫢⨠⫖↰⪸1879=⫖↰⪸114","layer":3},{"info":"⫖↰⪸961⨽⫖↰⪸985=⫖↰⪸-1A73500","layer":3},{"info":"⫖↰⪸114∠↢⫖↰⪸-1A73500=⫖↰⪸2246010A","layer":2},{"info":"⫖↰⪸-1B5⋝⋈⪟⫖↰⪸2246010A=⫖↰⪸-1B5","layer":1},{"info":"NaN⋅⇍⫖↰⪸-1B5=⫖↰⪸-1A","layer":0}]}
{"id":584,"expression_no_base_symbol":"⊗(($3211$⫰⋱$1078$)⨽∌($2468$⨳⩥⨓$2583$)⇄(⨴⫝$1561$)∳⫺($4429$⇆⨓≜))","expression":"⊗((⫖↰⪸1A37⫰⋱⫖↰⪸75A)⨽∌(⫖↰⪸1518⨳⩥⨓⫖↰⪸15B3)⇄(⨴⫝⫖↰⪸AA1)∳⫺(⫖↰⪸2691⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2116,"operation_count":8,"complexity_ratio":264.5,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3211,"base":12},"right_expr":{"type":"numeric_atoms","value":1078,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2468,"base":12},"right_expr":{"type":"numeric_atoms","value":2583,"base":12}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1561,"base":12}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":4429,"base":12}}}}},"used_operators":["RhiyfpczSx","3EYGwJThht","9samAPKr6k","6o9Blt3TJ6","nCS4ZIUYfx","AzXXKTstlj","SVb2v531z1","KvvgdUaMHJ"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","Uaa54Peajs","KYD54nUTWz"],"result":"⫖↰⪸-A40","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3211","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=1078, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3178","layer":3},{"info":"number node, value=2468","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=2583, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=115","layer":3},{"info":"compute binary expreesion, left_input=-3178, right_input=115, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=4429","layer":4},{"info":"compute unary expreesion, input=4429, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=744","layer":1},{"info":"compute unary expreesion, input=744, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-1488","layer":0}],"base":12,"result_base":12,"text":"⊗((⫖↰⪸1A37⫰⋱⫖↰⪸75A)⨽∌(⫖↰⪸1518⨳⩥⨓⫖↰⪸15B3)⇄(⨴⫝⫖↰⪸AA1)∳⫺(⫖↰⪸2691⇆⨓≜))=⫖↰⪸-A40","reverse_text":"⫖↰⪸-A40=⊗((⫖↰⪸1A37⫰⋱⫖↰⪸75A)⨽∌(⫖↰⪸1518⨳⩥⨓⫖↰⪸15B3)⇄(⨴⫝⫖↰⪸AA1)∳⫺(⫖↰⪸2691⇆⨓≜))","cot":[{"info":"⫖↰⪸1A37⫰⋱⫖↰⪸75A=⫖↰⪸-1A0A","layer":3},{"info":"⫖↰⪸1518⨳⩥⨓⫖↰⪸15B3=⫖↰⪸97","layer":3},{"info":"⫖↰⪸-1A0A⨽∌⫖↰⪸97=⫖↰⪸0","layer":2},{"info":"⨴⫝⫖↰⪸AA1=⫖↰⪸B44832","layer":3},{"info":"⫖↰⪸2691⇆⨓≜=NaN","layer":3},{"info":"⫖↰⪸B44832∳⫺NaN=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸0⇄⫖↰⪸-198=⫖↰⪸520","layer":1},{"info":"⊗⫖↰⪸520=⫖↰⪸-A40","layer":0}]}
{"id":585,"expression_no_base_symbol":"≘((($3167$∕⩚$2777$)∠↢($2402$⋭≵$4026$))⨫⇇↔($1410$⩺⪪$2276$⪁$1941$⨽$2381$))","expression":"≘(((⫖↰⪸19BB∕⩚⫖↰⪸1735)∠↢(⫖↰⪸1482⋭≵⫖↰⪸23B6))⨫⇇↔(⫖↰⪸996⩺⪪⫖↰⪸1398⪁⫖↰⪸1159⨽⫖↰⪸1465))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11315669,"operation_count":8,"complexity_ratio":1414458.625,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3167,"base":12},"right_expr":{"type":"numeric_atoms","value":2777,"base":12}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2402,"base":12},"right_expr":{"type":"numeric_atoms","value":4026,"base":12}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1410,"base":12},"right_expr":{"type":"numeric_atoms","value":2276,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1941,"base":12},"right_expr":{"type":"numeric_atoms","value":2381,"base":12}}}}},"used_operators":["tcjXMdvYtA","LXhwmt4mBO","KbjG8mgYpV","z9ffQ9n5Zr","jBncVCNhdl","I7sXao9hZE","uvdQJvN4PV","8HhzD0ZcuI"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸12B212","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3167","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=2777, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3170","layer":3},{"info":"number node, value=2402","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=4026, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-3170, right_input=67, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=12824","layer":2},{"info":"number node, value=1410","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=2276, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1941","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=2381, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11308272","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=-11308272, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12824, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=309614","layer":0}],"base":12,"result_base":12,"text":"≘(((⫖↰⪸19BB∕⩚⫖↰⪸1735)∠↢(⫖↰⪸1482⋭≵⫖↰⪸23B6))⨫⇇↔(⫖↰⪸996⩺⪪⫖↰⪸1398⪁⫖↰⪸1159⨽⫖↰⪸1465))=⫖↰⪸12B212","reverse_text":"⫖↰⪸12B212=≘(((⫖↰⪸19BB∕⩚⫖↰⪸1735)∠↢(⫖↰⪸1482⋭≵⫖↰⪸23B6))⨫⇇↔(⫖↰⪸996⩺⪪⫖↰⪸1398⪁⫖↰⪸1159⨽⫖↰⪸1465))","cot":[{"info":"⫖↰⪸19BB∕⩚⫖↰⪸1735=⫖↰⪸-1A02","layer":3},{"info":"⫖↰⪸1482⋭≵⫖↰⪸23B6=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-1A02∠↢⫖↰⪸57=⫖↰⪸7508","layer":2},{"info":"⫖↰⪸996⩺⪪⫖↰⪸1398=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸1159⨽⫖↰⪸1465=⫖↰⪸-3954180","layer":3},{"info":"⫖↰⪸-1076⪁⫖↰⪸-3954180=NaN","layer":2},{"info":"⫖↰⪸7508⨫⇇↔NaN=⫖↰⪸-37B","layer":1},{"info":"≘⫖↰⪸-37B=⫖↰⪸12B212","layer":0}]}
{"id":586,"expression_no_base_symbol":"((↥$4153$)⪭≯$6904$∀⇚≩$4546$)≁↽≥(($1732$⨲∙)⫚↹⊑$1298$∇⊂⋱$3177$)≌(($1771$⨻⩈⩔$4400$≀⩗∶$1530$⨽$2467$)≦↸(($4613$⨹)≄⊠$3108$⪃⊛⇣$3270$))","expression":"((↥⫖↰⪸24A1)⪭≯⫖↰⪸3BB4∀⇚≩⫖↰⪸276A)≁↽≥((⫖↰⪸1004⨲∙)⫚↹⊑⫖↰⪸902∇⊂⋱⫖↰⪸1A09)≌((⫖↰⪸1037⨻⩈⩔⫖↰⪸2668≀⩗∶⫖↰⪸A76⨽⫖↰⪸1517)≦↸((⫖↰⪸2805⨹)≄⊠⫖↰⪸1970⪃⊛⇣⫖↰⪸1A86))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":113758,"operation_count":15,"complexity_ratio":7583.866666666667,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4153,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6904,"base":12},"right_expr":{"type":"numeric_atoms","value":4546,"base":12}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1732,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1298,"base":12},"right_expr":{"type":"numeric_atoms","value":3177,"base":12}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1771,"base":12},"right_expr":{"type":"numeric_atoms","value":4400,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1530,"base":12},"right_expr":{"type":"numeric_atoms","value":2467,"base":12}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":4613,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3108,"base":12},"right_expr":{"type":"numeric_atoms","value":3270,"base":12}}}}},"used_operators":["lyWz822IDG","ncHt1X6cMc","XAx5wpdLa6","A8NUZmVepG","LRNGc0VcxI","dfKe02y8D2","cRahaglYVE","nhYeJWJD5X","RygbFNSyEJ","8INZBEW696","nEsXyWgiOK","8HhzD0ZcuI","vXNesLlMH1","UnCoSGIALn","rrgAzCduG9"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","oWn0xqSxBt","3Oe9XWJUTD","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","k8jYdgA6NY","X99M06cbEe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","mp7IySMOzn","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4153","layer":4},{"info":"compute unary expreesion, input=4153, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":3},{"info":"number node, value=6904","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=6904, right_input=4546, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=22, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1732","layer":4},{"info":"compute unary expreesion, input=1732, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=21581158","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=3177","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=3177, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2050","layer":3},{"info":"compute binary expreesion, left_input=21581158, right_input=2050, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"number node, value=1771","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=4400, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5767","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=2467, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7028787","layer":3},{"info":"compute binary expreesion, left_input=5767, right_input=-7028787, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3657","layer":2},{"info":"number node, value=4613","layer":4},{"info":"compute unary expreesion, input=4613, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=9226","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=3270, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=9226, right_input=1234, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=24412","layer":2},{"info":"compute binary expreesion, left_input=3657, right_input=24412, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-55457","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=-55457, 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":12,"result_base":12,"text":"((↥⫖↰⪸24A1)⪭≯⫖↰⪸3BB4∀⇚≩⫖↰⪸276A)≁↽≥((⫖↰⪸1004⨲∙)⫚↹⊑⫖↰⪸902∇⊂⋱⫖↰⪸1A09)≌((⫖↰⪸1037⨻⩈⩔⫖↰⪸2668≀⩗∶⫖↰⪸A76⨽⫖↰⪸1517)≦↸((⫖↰⪸2805⨹)≄⊠⫖↰⪸1970⪃⊛⇣⫖↰⪸1A86))=NaN","reverse_text":"NaN=((↥⫖↰⪸24A1)⪭≯⫖↰⪸3BB4∀⇚≩⫖↰⪸276A)≁↽≥((⫖↰⪸1004⨲∙)⫚↹⊑⫖↰⪸902∇⊂⋱⫖↰⪸1A09)≌((⫖↰⪸1037⨻⩈⩔⫖↰⪸2668≀⩗∶⫖↰⪸A76⨽⫖↰⪸1517)≦↸((⫖↰⪸2805⨹)≄⊠⫖↰⪸1970⪃⊛⇣⫖↰⪸1A86))","cot":[{"info":"↥⫖↰⪸24A1=⫖↰⪸1A","layer":3},{"info":"⫖↰⪸3BB4∀⇚≩⫖↰⪸276A=NaN","layer":3},{"info":"⫖↰⪸1A⪭≯NaN=NaN","layer":2},{"info":"⫖↰⪸1004⨲∙=⫖↰⪸728911A","layer":3},{"info":"⫖↰⪸902∇⊂⋱⫖↰⪸1A09=⫖↰⪸122A","layer":3},{"info":"⫖↰⪸728911A⫚↹⊑⫖↰⪸122A=⫖↰⪸-313","layer":2},{"info":"NaN≁↽≥⫖↰⪸-313=⫖↰⪸144","layer":1},{"info":"⫖↰⪸1037⨻⩈⩔⫖↰⪸2668=⫖↰⪸3407","layer":3},{"info":"⫖↰⪸A76⨽⫖↰⪸1517=⫖↰⪸-242B703","layer":3},{"info":"⫖↰⪸3407≀⩗∶⫖↰⪸-242B703=⫖↰⪸2149","layer":2},{"info":"⫖↰⪸2805⨹=⫖↰⪸540A","layer":3},{"info":"⫖↰⪸1970⪃⊛⇣⫖↰⪸1A86=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸540A≄⊠⫖↰⪸86A=⫖↰⪸12164","layer":2},{"info":"⫖↰⪸2149≦↸⫖↰⪸12164=⫖↰⪸-28115","layer":1},{"info":"⫖↰⪸144≌⫖↰⪸-28115=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"(($1688$⫏⊷)⇤($2689$⊹≧⊝)⩱)⋭≵(($1477$∣$1448$)≨(⇋⊎⋝$1028$)⊾⪯⋞(⇜⊴$2955$)∘($7473$⋷$3773$))","expression":"((⫖↰⪸B88⫏⊷)⇤(⫖↰⪸1681⊹≧⊝)⩱)⋭≵((⫖↰⪸A31∣⫖↰⪸A08)≨(⇋⊎⋝⫖↰⪸718)⊾⪯⋞(⇜⊴⫖↰⪸1863)∘(⫖↰⪸43A9⋷⫖↰⪸2225))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6595,"operation_count":12,"complexity_ratio":549.5833333333334,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1688,"base":12}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":2689,"base":12}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1477,"base":12},"right_expr":{"type":"numeric_atoms","value":1448,"base":12}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1028,"base":12}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2955,"base":12}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7473,"base":12},"right_expr":{"type":"numeric_atoms","value":3773,"base":12}}}}},"used_operators":["jBncVCNhdl","uyq1hVkAcj","YSKBFp38Pu","dcShxvzhyw","LxFB4K6j0n","HK0tfVPux8","0KMCeP1Jsh","PPChnnnBFF","CzM2PEoXns","Z5m6OM72h2","XwDhCwWbUn","23Mk6UjR3U"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","eH2TOUuTDT","rysDP5nf3Z","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=2689","layer":4},{"info":"compute unary expreesion, input=2689, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-10756","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=-10756, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=60728","layer":2},{"info":"compute unary expreesion, input=60728, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-364618","layer":1},{"info":"number node, value=1477","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1448, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1477","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1477, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12294","layer":2},{"info":"number node, value=2955","layer":4},{"info":"compute unary expreesion, input=2955, 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=-683666","layer":3},{"info":"number node, value=7473","layer":4},{"info":"number node, value=3773","layer":4},{"info":"compute binary expreesion, left_input=7473, right_input=3773, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=73","layer":3},{"info":"compute binary expreesion, left_input=-683666, right_input=73, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=684046","layer":2},{"info":"compute binary expreesion, left_input=-12294, right_input=684046, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1367666","layer":1},{"info":"compute binary expreesion, left_input=-364618, right_input=1367666, 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":12,"result_base":12,"text":"((⫖↰⪸B88⫏⊷)⇤(⫖↰⪸1681⊹≧⊝)⩱)⋭≵((⫖↰⪸A31∣⫖↰⪸A08)≨(⇋⊎⋝⫖↰⪸718)⊾⪯⋞(⇜⊴⫖↰⪸1863)∘(⫖↰⪸43A9⋷⫖↰⪸2225))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸B88⫏⊷)⇤(⫖↰⪸1681⊹≧⊝)⩱)⋭≵((⫖↰⪸A31∣⫖↰⪸A08)≨(⇋⊎⋝⫖↰⪸718)⊾⪯⋞(⇜⊴⫖↰⪸1863)∘(⫖↰⪸43A9⋷⫖↰⪸2225))","cot":[{"info":"⫖↰⪸B88⫏⊷=⫖↰⪸-584","layer":3},{"info":"⫖↰⪸1681⊹≧⊝=⫖↰⪸-6284","layer":3},{"info":"⫖↰⪸-584⇤⫖↰⪸-6284=⫖↰⪸2B188","layer":2},{"info":"⫖↰⪸2B188⩱=⫖↰⪸-15700A","layer":1},{"info":"⫖↰⪸A31∣⫖↰⪸A08=⫖↰⪸A31","layer":3},{"info":"⇋⊎⋝⫖↰⪸718=NaN","layer":3},{"info":"⫖↰⪸A31≨NaN=⫖↰⪸-7146","layer":2},{"info":"⇜⊴⫖↰⪸1863=⫖↰⪸-28B782","layer":3},{"info":"⫖↰⪸43A9⋷⫖↰⪸2225=⫖↰⪸61","layer":3},{"info":"⫖↰⪸-28B782∘⫖↰⪸61=⫖↰⪸28BA3A","layer":2},{"info":"⫖↰⪸-7146⊾⪯⋞⫖↰⪸28BA3A=⫖↰⪸55B582","layer":1},{"info":"⫖↰⪸-15700A⋭≵⫖↰⪸55B582=⫖↰⪸57","layer":0}]}
{"id":588,"expression_no_base_symbol":"($2421$⨓$4454$⫃⨇(≀↧⇸$1509$))⨭⪣($2250$∷)∣$6256$⇡⇂$1314$-(≘$1828$)∺≝⩲($5771$⩁⩘$4981$)∥⊢⊲(∂$2512$⋥⋵⩄$6897$)","expression":"(⫖↰⪸1499⨓⫖↰⪸26B2⫃⨇(≀↧⇸⫖↰⪸A59))⨭⪣(⫖↰⪸1376∷)∣⫖↰⪸3754⇡⇂⫖↰⪸916-(≘⫖↰⪸1084)∺≝⩲(⫖↰⪸340B⩁⩘⫖↰⪸2A71)∥⊢⊲(∂⫖↰⪸1554⋥⋵⩄⫖↰⪸3BA9)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13392,"operation_count":14,"complexity_ratio":956.5714285714286,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2421,"base":12},"right_expr":{"type":"numeric_atoms","value":4454,"base":12}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1509,"base":12}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":2250,"base":12}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6256,"base":12},"right_expr":{"type":"numeric_atoms","value":1314,"base":12}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1828,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5771,"base":12},"right_expr":{"type":"numeric_atoms","value":4981,"base":12}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2512,"base":12},"right_expr":{"type":"numeric_atoms","value":6897,"base":12}}}}},"used_operators":["rysDP5nf3Z","kn8WO9XteQ","09Ly4LVMIf","3ViojmjbAp","ljTHtUsqzn","PPChnnnBFF","nFAOW8KTqp","UMwdvZNt44","v1UQAVDJRr","KPf6cnQVty","tcjXMdvYtA","gub5Cegaqo","Uaa54Peajs","7t3wd0Fuz7"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XPYlsWDdGa","23Mk6UjR3U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","EBcxylXtPf","rGHVDoGpnC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"⫖↰⪸6665","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2421","layer":4},{"info":"number node, value=4454","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=4454, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4457","layer":3},{"info":"number node, value=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3018","layer":3},{"info":"compute binary expreesion, left_input=-4457, right_input=3018, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-12104","layer":2},{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=6750","layer":3},{"info":"number node, value=6256","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=6256, right_input=1314, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6750, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6750","layer":2},{"info":"compute binary expreesion, left_input=-12104, right_input=6750, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=11309","layer":1},{"info":"number node, value=1828","layer":4},{"info":"compute unary expreesion, input=1828, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=4031524","layer":3},{"info":"number node, value=5771","layer":4},{"info":"number node, value=4981","layer":4},{"info":"compute binary expreesion, left_input=5771, right_input=4981, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20872","layer":3},{"info":"compute binary expreesion, left_input=4031524, right_input=20872, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=2512","layer":4},{"info":"number node, value=6897","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=6897, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-377","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-377, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=11309, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=11309","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1499⨓⫖↰⪸26B2⫃⨇(≀↧⇸⫖↰⪸A59))⨭⪣(⫖↰⪸1376∷)∣⫖↰⪸3754⇡⇂⫖↰⪸916-(≘⫖↰⪸1084)∺≝⩲(⫖↰⪸340B⩁⩘⫖↰⪸2A71)∥⊢⊲(∂⫖↰⪸1554⋥⋵⩄⫖↰⪸3BA9)=⫖↰⪸6665","reverse_text":"⫖↰⪸6665=(⫖↰⪸1499⨓⫖↰⪸26B2⫃⨇(≀↧⇸⫖↰⪸A59))⨭⪣(⫖↰⪸1376∷)∣⫖↰⪸3754⇡⇂⫖↰⪸916-(≘⫖↰⪸1084)∺≝⩲(⫖↰⪸340B⩁⩘⫖↰⪸2A71)∥⊢⊲(∂⫖↰⪸1554⋥⋵⩄⫖↰⪸3BA9)","cot":[{"info":"⫖↰⪸1499⨓⫖↰⪸26B2=⫖↰⪸-26B5","layer":3},{"info":"≀↧⇸⫖↰⪸A59=⫖↰⪸18B6","layer":3},{"info":"⫖↰⪸-26B5⫃⨇⫖↰⪸18B6=⫖↰⪸-7008","layer":2},{"info":"⫖↰⪸1376∷=⫖↰⪸3AA6","layer":3},{"info":"⫖↰⪸3754⇡⇂⫖↰⪸916=NaN","layer":3},{"info":"⫖↰⪸3AA6∣NaN=⫖↰⪸3AA6","layer":2},{"info":"⫖↰⪸-7008⨭⪣⫖↰⪸3AA6=⫖↰⪸6665","layer":1},{"info":"≘⫖↰⪸1084=⫖↰⪸1425084","layer":3},{"info":"⫖↰⪸340B⩁⩘⫖↰⪸2A71=⫖↰⪸100B4","layer":3},{"info":"⫖↰⪸1425084∺≝⩲⫖↰⪸100B4=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1554⋥⋵⩄⫖↰⪸3BA9=⫖↰⪸95","layer":3},{"info":"∂⫖↰⪸95=⫖↰⪸-275","layer":2},{"info":"⫖↰⪸114∥⊢⊲⫖↰⪸-275=⫖↰⪸0","layer":1},{"info":"⫖↰⪸6665-⫖↰⪸0=⫖↰⪸6665","layer":0}]}
{"id":589,"expression_no_base_symbol":"≦∁(($2244$∷$8607$)↢($2373$⩷∴$1962$))⇻⋧≁((≉$3078$)⨁⊸⫻)","expression":"≦∁((⫖↰⪸1370∷⫖↰⪸4B93)↢(⫖↰⪸1459⩷∴⫖↰⪸1176))⇻⋧≁((≉⫖↰⪸1946)⨁⊸⫻)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8200,"operation_count":7,"complexity_ratio":1171.4285714285713,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2244,"base":12},"right_expr":{"type":"numeric_atoms","value":8607,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2373,"base":12},"right_expr":{"type":"numeric_atoms","value":1962,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3078,"base":12}}}}},"used_operators":["9ICcGScMcE","jCPkEVoL5K","WR6HLWljOP","D3AQDKkPcf","9FxExcQeMw","glklzrTFfD","e1ybzncUwg"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2244","layer":4},{"info":"number node, value=8607","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=8607, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=8607","layer":3},{"info":"number node, value=2373","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=1962, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=790","layer":3},{"info":"compute binary expreesion, left_input=8607, right_input=790, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=8123","layer":2},{"info":"number node, value=3078","layer":4},{"info":"compute unary expreesion, input=3078, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3609","layer":3},{"info":"compute unary expreesion, input=3609, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3609","layer":2},{"info":"compute binary expreesion, left_input=8123, right_input=3609, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"≦∁((⫖↰⪸1370∷⫖↰⪸4B93)↢(⫖↰⪸1459⩷∴⫖↰⪸1176))⇻⋧≁((≉⫖↰⪸1946)⨁⊸⫻)=⫖↰⪸57","reverse_text":"⫖↰⪸57=≦∁((⫖↰⪸1370∷⫖↰⪸4B93)↢(⫖↰⪸1459⩷∴⫖↰⪸1176))⇻⋧≁((≉⫖↰⪸1946)⨁⊸⫻)","cot":[{"info":"⫖↰⪸1370∷⫖↰⪸4B93=⫖↰⪸4B93","layer":3},{"info":"⫖↰⪸1459⩷∴⫖↰⪸1176=⫖↰⪸55A","layer":3},{"info":"⫖↰⪸4B93↢⫖↰⪸55A=⫖↰⪸484B","layer":2},{"info":"≉⫖↰⪸1946=⫖↰⪸2109","layer":3},{"info":"⫖↰⪸2109⨁⊸⫻=⫖↰⪸2109","layer":2},{"info":"⫖↰⪸484B⇻⋧≁⫖↰⪸2109=⫖↰⪸-313","layer":1},{"info":"≦∁⫖↰⪸-313=⫖↰⪸57","layer":0}]}
{"id":590,"expression_no_base_symbol":"(⇺⋃($1513$≓∲$2073$)⪝($2783$∼$1692$))⪮%⊝(($4177$∲⫓$4746$∕⩚(⨑⩽⪐$1598$))⫿)","expression":"(⇺⋃(⫖↰⪸A61≓∲⫖↰⪸1249)⪝(⫖↰⪸173B∼⫖↰⪸B90))⪮%⊝((⫖↰⪸2501∲⫓⫖↰⪸28B6∕⩚(⨑⩽⪐⫖↰⪸B12))⫿)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":610,"operation_count":9,"complexity_ratio":67.77777777777777,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1513,"base":12},"right_expr":{"type":"numeric_atoms","value":2073,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2783,"base":12},"right_expr":{"type":"numeric_atoms","value":1692,"base":12}}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4177,"base":12},"right_expr":{"type":"numeric_atoms","value":4746,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1598,"base":12}}}}},"used_operators":["IWmyXbctLI","E5v5B3UAjG","wicAB68Tmb","s1XTVnmDOJ","DyGG3AbaNP","9tKT6PmtkH","z9ffQ9n5Zr","i8ToyICDmI","AF7qkfDlqP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=2073, 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=15913","layer":3},{"info":"number node, value=2783","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=1692, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15913, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"number node, value=4177","layer":4},{"info":"number node, value=4746","layer":4},{"info":"compute binary expreesion, left_input=4177, right_input=4746, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1598","layer":4},{"info":"compute unary expreesion, input=1598, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1325","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1325, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=974","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=974, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇺⋃(⫖↰⪸A61≓∲⫖↰⪸1249)⪝(⫖↰⪸173B∼⫖↰⪸B90))⪮%⊝((⫖↰⪸2501∲⫓⫖↰⪸28B6∕⩚(⨑⩽⪐⫖↰⪸B12))⫿)=NaN","reverse_text":"NaN=(⇺⋃(⫖↰⪸A61≓∲⫖↰⪸1249)⪝(⫖↰⪸173B∼⫖↰⪸B90))⪮%⊝((⫖↰⪸2501∲⫓⫖↰⪸28B6∕⩚(⨑⩽⪐⫖↰⪸B12))⫿)","cot":[{"info":"⫖↰⪸A61≓∲⫖↰⪸1249=⫖↰⪸9261","layer":3},{"info":"⫖↰⪸173B∼⫖↰⪸B90=NaN","layer":3},{"info":"⫖↰⪸9261⪝NaN=NaN","layer":2},{"info":"⇺⋃NaN=NaN","layer":1},{"info":"⫖↰⪸2501∲⫓⫖↰⪸28B6=⫖↰⪸0","layer":3},{"info":"⨑⩽⪐⫖↰⪸B12=⫖↰⪸-925","layer":3},{"info":"⫖↰⪸0∕⩚⫖↰⪸-925=⫖↰⪸-347","layer":2},{"info":"⫖↰⪸-347⫿=⫖↰⪸692","layer":1},{"info":"NaN⪮%⊝⫖↰⪸692=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"(($2270$-$2597$)⨽∌(↪⫪⫘$4889$)∷($4429$⊟⇱)⊋$2845$⨂≜$1714$)≃(-$1124$⋭≵$2120$)⨿(⨛($3846$∪⫐$1586$))","expression":"((⫖↰⪸1392-⫖↰⪸1605)⨽∌(↪⫪⫘⫖↰⪸29B5)∷(⫖↰⪸2691⊟⇱)⊋⫖↰⪸1791⨂≜⫖↰⪸BAA)≃(-⫖↰⪸798⋭≵⫖↰⪸1288)⨿(⨛(⫖↰⪸2286∪⫐⫖↰⪸B02))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20819,"operation_count":13,"complexity_ratio":1601.4615384615386,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2270,"base":12},"right_expr":{"type":"numeric_atoms","value":2597,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4889,"base":12}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":4429,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2845,"base":12},"right_expr":{"type":"numeric_atoms","value":1714,"base":12}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1124,"base":12},"right_expr":{"type":"numeric_atoms","value":2120,"base":12}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3846,"base":12},"right_expr":{"type":"numeric_atoms","value":1586,"base":12}}}}},"used_operators":["YbVcJGFEVW","D3AQDKkPcf","9samAPKr6k","rysDP5nf3Z","9dWsAM3GFt","W4tP9CfskL","03sUfWo75k","k1SHOSEABc","abYXlopdE0","t8gj7n24qd","jBncVCNhdl","CoMdbyAt7R","7YooWSwCyH"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","IWmyXbctLI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rJVOvQCfKK","2DDjHMKMc0"],"result":"⫖↰⪸-434","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2270","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=2597, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-327","layer":3},{"info":"number node, value=4889","layer":4},{"info":"compute unary expreesion, input=4889, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-327, right_input=20, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=4429","layer":4},{"info":"compute unary expreesion, input=4429, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=9174","layer":3},{"info":"number node, value=2845","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=1714, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9174, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=1124","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=2120, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5709","layer":3},{"info":"compute unary expreesion, input=5709, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5709","layer":2},{"info":"number node, value=3846","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=1586, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3846","layer":3},{"info":"compute unary expreesion, input=3846, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5709, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-616","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1392-⫖↰⪸1605)⨽∌(↪⫪⫘⫖↰⪸29B5)∷(⫖↰⪸2691⊟⇱)⊋⫖↰⪸1791⨂≜⫖↰⪸BAA)≃(-⫖↰⪸798⋭≵⫖↰⪸1288)⨿(⨛(⫖↰⪸2286∪⫐⫖↰⪸B02))=⫖↰⪸-434","reverse_text":"⫖↰⪸-434=((⫖↰⪸1392-⫖↰⪸1605)⨽∌(↪⫪⫘⫖↰⪸29B5)∷(⫖↰⪸2691⊟⇱)⊋⫖↰⪸1791⨂≜⫖↰⪸BAA)≃(-⫖↰⪸798⋭≵⫖↰⪸1288)⨿(⨛(⫖↰⪸2286∪⫐⫖↰⪸B02))","cot":[{"info":"⫖↰⪸1392-⫖↰⪸1605=⫖↰⪸-233","layer":3},{"info":"↪⫪⫘⫖↰⪸29B5=⫖↰⪸18","layer":3},{"info":"⫖↰⪸-233⨽∌⫖↰⪸18=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2691⊟⇱=⫖↰⪸5386","layer":3},{"info":"⫖↰⪸1791⨂≜⫖↰⪸BAA=NaN","layer":3},{"info":"⫖↰⪸5386⊋NaN=NaN","layer":2},{"info":"⫖↰⪸0∷NaN=NaN","layer":1},{"info":"⫖↰⪸798⋭≵⫖↰⪸1288=⫖↰⪸3379","layer":3},{"info":"-⫖↰⪸3379=⫖↰⪸-3379","layer":2},{"info":"⫖↰⪸2286∪⫐⫖↰⪸B02=⫖↰⪸2286","layer":3},{"info":"⨛⫖↰⪸2286=NaN","layer":2},{"info":"⫖↰⪸-3379⨿NaN=⫖↰⪸57","layer":1},{"info":"NaN≃⫖↰⪸57=⫖↰⪸-434","layer":0}]}
{"id":592,"expression_no_base_symbol":"(($2762$⪛⫼$1115$⊭↱($8322$⊜))⋹)∛((⇙⪊$1987$)≳⇉$2885$⋹⋡⊁$1615$∽(⇋⊎⋝($2317$∷$1283$)))","expression":"((⫖↰⪸1722⪛⫼⫖↰⪸78B⊭↱(⫖↰⪸4996⊜))⋹)∛((⇙⪊⫖↰⪸1197)≳⇉⫖↰⪸1805⋹⋡⊁⫖↰⪸B27∽(⇋⊎⋝(⫖↰⪸1411∷⫖↰⪸8AB)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":92473201,"operation_count":11,"complexity_ratio":8406654.636363637,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2762,"base":12},"right_expr":{"type":"numeric_atoms","value":1115,"base":12}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":8322,"base":12}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1987,"base":12}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2885,"base":12},"right_expr":{"type":"numeric_atoms","value":1615,"base":12}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2317,"base":12},"right_expr":{"type":"numeric_atoms","value":1283,"base":12}}}}},"used_operators":["w2537kitQq","opAxDRczMr","COABgblf1C","hyuBjUqXlG","Eev2Q7dYIw","y4ImoPnbV5","V0kx6qeWkN","pB6Fcnrjim","As8RqfVLgs","CzM2PEoXns","D3AQDKkPcf"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","NTOWxs364D","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","dWAJyo7jo9","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2762","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=1115, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=8322","layer":4},{"info":"compute unary expreesion, input=8322, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-31552","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-31552, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-65035","layer":2},{"info":"compute unary expreesion, input=-65035, 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=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=2885","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=1615, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2365","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2365, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=2317","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=1283, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1283","layer":3},{"info":"compute unary expreesion, input=1283, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-20, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1722⪛⫼⫖↰⪸78B⊭↱(⫖↰⪸4996⊜))⋹)∛((⇙⪊⫖↰⪸1197)≳⇉⫖↰⪸1805⋹⋡⊁⫖↰⪸B27∽(⇋⊎⋝(⫖↰⪸1411∷⫖↰⪸8AB)))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸1722⪛⫼⫖↰⪸78B⊭↱(⫖↰⪸4996⊜))⋹)∛((⇙⪊⫖↰⪸1197)≳⇉⫖↰⪸1805⋹⋡⊁⫖↰⪸B27∽(⇋⊎⋝(⫖↰⪸1411∷⫖↰⪸8AB)))","cot":[{"info":"⫖↰⪸1722⪛⫼⫖↰⪸78B=⫖↰⪸688","layer":3},{"info":"⫖↰⪸4996⊜=⫖↰⪸-16314","layer":3},{"info":"⫖↰⪸688⊭↱⫖↰⪸-16314=⫖↰⪸-31777","layer":2},{"info":"⫖↰⪸-31777⋹=⫖↰⪸-18","layer":1},{"info":"⇙⪊⫖↰⪸1197=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1805⋹⋡⊁⫖↰⪸B27=⫖↰⪸1451","layer":3},{"info":"⫖↰⪸0≳⇉⫖↰⪸1451=NaN","layer":2},{"info":"⫖↰⪸1411∷⫖↰⪸8AB=⫖↰⪸8AB","layer":3},{"info":"⇋⊎⋝⫖↰⪸8AB=NaN","layer":2},{"info":"NaN∽NaN=NaN","layer":1},{"info":"⫖↰⪸-18∛NaN=⫖↰⪸57","layer":0}]}
{"id":593,"expression_no_base_symbol":"⇜⊴(⨴⫝(($1950$⊠≄⫣)∖$2515$∌↝$2274$))","expression":"⇜⊴(⨴⫝((⫖↰⪸1166⊠≄⫣)∖⫖↰⪸1557∌↝⫖↰⪸1396))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2087,"operation_count":5,"complexity_ratio":417.4,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1950,"base":12}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2515,"base":12},"right_expr":{"type":"numeric_atoms","value":2274,"base":12}}}}},"used_operators":["XwDhCwWbUn","SVb2v531z1","tXD093vOjl","DIvbN7qnHd","9Isq31Ruls"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫖↰⪸-167636706","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1950","layer":4},{"info":"compute unary expreesion, input=1950, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2515","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=2274, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute 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":1},{"info":"compute unary expreesion, input=2828198, 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=-667441014","layer":0}],"base":12,"result_base":12,"text":"⇜⊴(⨴⫝((⫖↰⪸1166⊠≄⫣)∖⫖↰⪸1557∌↝⫖↰⪸1396))=⫖↰⪸-167636706","reverse_text":"⫖↰⪸-167636706=⇜⊴(⨴⫝((⫖↰⪸1166⊠≄⫣)∖⫖↰⪸1557∌↝⫖↰⪸1396))","cot":[{"info":"⫖↰⪸1166⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1557∌↝⫖↰⪸1396=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∖⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⨴⫝⫖↰⪸0=⫖↰⪸B44832","layer":1},{"info":"⇜⊴⫖↰⪸B44832=⫖↰⪸-167636706","layer":0}]}
{"id":594,"expression_no_base_symbol":"((⪝⪂⫅$1363$)⩖⊿($3771$⫉⨲⊜$1928$)⊭∹↮)⪶≀⋏(($5747$⪔$1702$⩧⪆(⩩$1148$))⇩)","expression":"((⪝⪂⫅⫖↰⪸957)⩖⊿(⫖↰⪸2223⫉⨲⊜⫖↰⪸1148)⊭∹↮)⪶≀⋏((⫖↰⪸33AB⪔⫖↰⪸B9A⩧⪆(⩩⫖↰⪸7B8))⇩)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4103,"operation_count":9,"complexity_ratio":455.8888888888889,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1363,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3771,"base":12},"right_expr":{"type":"numeric_atoms","value":1928,"base":12}}}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5747,"base":12},"right_expr":{"type":"numeric_atoms","value":1702,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1148,"base":12}}}}},"used_operators":["zR4jO40bMj","xNBdhnnwKq","RZ5CV9rWsJ","XTarYq4gQB","WhqkvtTD3t","vRio1gEz1j","Ikt5ks8PT7","GjBEYRfMaF","kMhfGuqI2H"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9HNa5Wba9A","8w2t5hMYqp","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","eewbuw0ToL","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-200361","layer":3},{"info":"number node, value=3771","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=1928, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-200361, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1914","layer":2},{"info":"compute unary expreesion, input=1914, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3828","layer":1},{"info":"number node, value=5747","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=5747, right_input=1702, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3828, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪝⪂⫅⫖↰⪸957)⩖⊿(⫖↰⪸2223⫉⨲⊜⫖↰⪸1148)⊭∹↮)⪶≀⋏((⫖↰⪸33AB⪔⫖↰⪸B9A⩧⪆(⩩⫖↰⪸7B8))⇩)=NaN","reverse_text":"NaN=((⪝⪂⫅⫖↰⪸957)⩖⊿(⫖↰⪸2223⫉⨲⊜⫖↰⪸1148)⊭∹↮)⪶≀⋏((⫖↰⪸33AB⪔⫖↰⪸B9A⩧⪆(⩩⫖↰⪸7B8))⇩)","cot":[{"info":"⪝⪂⫅⫖↰⪸957=⫖↰⪸-97B49","layer":3},{"info":"⫖↰⪸2223⫉⨲⊜⫖↰⪸1148=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-97B49⩖⊿⫖↰⪸0=⫖↰⪸1136","layer":2},{"info":"⫖↰⪸1136⊭∹↮=⫖↰⪸2270","layer":1},{"info":"⫖↰⪸33AB⪔⫖↰⪸B9A=⫖↰⪸316","layer":3},{"info":"⩩⫖↰⪸7B8=NaN","layer":3},{"info":"⫖↰⪸316⩧⪆NaN=NaN","layer":2},{"info":"NaN⇩=NaN","layer":1},{"info":"⫖↰⪸2270⪶≀⋏NaN=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"⇙⪊(($2312$∠↢$3292$)⨔≚≋(≛$5045$))↳∿⪆($1579$⫰⋱$7451$)↳∿⪆($2853$≧⫂∧$2096$)","expression":"⇙⪊((⫖↰⪸1408∠↢⫖↰⪸1AA4)⨔≚≋(≛⫖↰⪸2B05))↳∿⪆(⫖↰⪸AB7⫰⋱⫖↰⪸438B)↳∿⪆(⫖↰⪸1799≧⫂∧⫖↰⪸1268)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4838,"operation_count":8,"complexity_ratio":604.75,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2312,"base":12},"right_expr":{"type":"numeric_atoms","value":3292,"base":12}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5045,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1579,"base":12},"right_expr":{"type":"numeric_atoms","value":7451,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2853,"base":12},"right_expr":{"type":"numeric_atoms","value":2096,"base":12}}}}},"used_operators":["pB6Fcnrjim","Cw4SuJJGHO","Z57zeUYC9z","KbjG8mgYpV","W7eaUhjymW","6o9Blt3TJ6","Ph9nP6C5qx"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2312","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=3292, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-54254","layer":3},{"info":"number node, value=5045","layer":4},{"info":"compute unary expreesion, input=5045, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-54254, right_input=-10, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=865384","layer":2},{"info":"number node, value=1579","layer":4},{"info":"number node, value=7451","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=7451, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1546","layer":3},{"info":"number node, value=2853","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=2096, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1623","layer":3},{"info":"compute binary expreesion, left_input=-1546, right_input=1623, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=865384, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇙⪊((⫖↰⪸1408∠↢⫖↰⪸1AA4)⨔≚≋(≛⫖↰⪸2B05))↳∿⪆(⫖↰⪸AB7⫰⋱⫖↰⪸438B)↳∿⪆(⫖↰⪸1799≧⫂∧⫖↰⪸1268)=NaN","reverse_text":"NaN=⇙⪊((⫖↰⪸1408∠↢⫖↰⪸1AA4)⨔≚≋(≛⫖↰⪸2B05))↳∿⪆(⫖↰⪸AB7⫰⋱⫖↰⪸438B)↳∿⪆(⫖↰⪸1799≧⫂∧⫖↰⪸1268)","cot":[{"info":"⫖↰⪸1408∠↢⫖↰⪸1AA4=⫖↰⪸-27492","layer":3},{"info":"≛⫖↰⪸2B05=⫖↰⪸-A","layer":3},{"info":"⫖↰⪸-27492⨔≚≋⫖↰⪸-A=⫖↰⪸358974","layer":2},{"info":"⫖↰⪸AB7⫰⋱⫖↰⪸438B=⫖↰⪸-A8A","layer":3},{"info":"⫖↰⪸1799≧⫂∧⫖↰⪸1268=⫖↰⪸B33","layer":3},{"info":"⫖↰⪸-A8A↳∿⪆⫖↰⪸B33=NaN","layer":2},{"info":"⫖↰⪸358974↳∿⪆NaN=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"(($1843$⫁⪎$4401$⪒$1028$⩼⇪↪$1628$)⊍⩺⋍(⪹$5412$)⩒⫫(∨∊⋏$1354$))⩍⋽⫝̸(($4796$⨚⇆$1002$⋅⇍$3488$⪝$1806$)⪣⫩)","expression":"((⫖↰⪸1097⫁⪎⫖↰⪸2669⪒⫖↰⪸718⩼⇪↪⫖↰⪸B38)⊍⩺⋍(⪹⫖↰⪸3170)⩒⫫(∨∊⋏⫖↰⪸94A))⩍⋽⫝̸((⫖↰⪸2938⨚⇆⫖↰⪸6B6⋅⇍⫖↰⪸2028⪝⫖↰⪸1066)⪣⫩)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":34369,"operation_count":12,"complexity_ratio":2864.0833333333335,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1843,"base":12},"right_expr":{"type":"numeric_atoms","value":4401,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1028,"base":12},"right_expr":{"type":"numeric_atoms","value":1628,"base":12}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":5412,"base":12}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1354,"base":12}}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4796,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3488,"base":12},"right_expr":{"type":"numeric_atoms","value":1806,"base":12}}}}},"used_operators":["BiWNJpBvwn","OXDGMFPWZM","f6k1SAg4EE","xRrnTEsQ6j","ocnLzx9CaJ","KFSx94NKJn","USyYr0JgAa","R5aXW34M0v","iuk5sVOGFA","AdZkA7nFnk","lwHaAYXP2r","wicAB68Tmb"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","tifHPKVTfV","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⫖↰⪸-29","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1843","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=4401, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2558","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1628, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-10123","layer":3},{"info":"compute binary expreesion, left_input=-2558, right_input=-10123, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=12681","layer":2},{"info":"number node, value=5412","layer":4},{"info":"compute unary expreesion, input=5412, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-5232","layer":3},{"info":"number node, value=1354","layer":4},{"info":"compute unary expreesion, input=1354, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=19295","layer":3},{"info":"compute binary expreesion, left_input=-5232, right_input=19295, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=12681, right_input=160, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=4796","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=1002, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3488","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=1806, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7127","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7127, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=913, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-33","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1097⫁⪎⫖↰⪸2669⪒⫖↰⪸718⩼⇪↪⫖↰⪸B38)⊍⩺⋍(⪹⫖↰⪸3170)⩒⫫(∨∊⋏⫖↰⪸94A))⩍⋽⫝̸((⫖↰⪸2938⨚⇆⫖↰⪸6B6⋅⇍⫖↰⪸2028⪝⫖↰⪸1066)⪣⫩)=⫖↰⪸-29","reverse_text":"⫖↰⪸-29=((⫖↰⪸1097⫁⪎⫖↰⪸2669⪒⫖↰⪸718⩼⇪↪⫖↰⪸B38)⊍⩺⋍(⪹⫖↰⪸3170)⩒⫫(∨∊⋏⫖↰⪸94A))⩍⋽⫝̸((⫖↰⪸2938⨚⇆⫖↰⪸6B6⋅⇍⫖↰⪸2028⪝⫖↰⪸1066)⪣⫩)","cot":[{"info":"⫖↰⪸1097⫁⪎⫖↰⪸2669=⫖↰⪸-1592","layer":3},{"info":"⫖↰⪸718⩼⇪↪⫖↰⪸B38=⫖↰⪸-5A37","layer":3},{"info":"⫖↰⪸-1592⪒⫖↰⪸-5A37=⫖↰⪸7409","layer":2},{"info":"⪹⫖↰⪸3170=⫖↰⪸-3040","layer":3},{"info":"∨∊⋏⫖↰⪸94A=⫖↰⪸B1BB","layer":3},{"info":"⫖↰⪸-3040⩒⫫⫖↰⪸B1BB=⫖↰⪸114","layer":2},{"info":"⫖↰⪸7409⊍⩺⋍⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸2938⨚⇆⫖↰⪸6B6=NaN","layer":3},{"info":"⫖↰⪸2028⪝⫖↰⪸1066=⫖↰⪸-415B","layer":3},{"info":"NaN⋅⇍⫖↰⪸-415B=NaN","layer":2},{"info":"NaN⪣⫩=⫖↰⪸641","layer":1},{"info":"NaN⩍⋽⫝̸⫖↰⪸641=⫖↰⪸-29","layer":0}]}
{"id":597,"expression_no_base_symbol":"(($2471$≨$2234$)⨼⩣($1214$≣⋋))⨥⫆((≱⇩⩕$1188$)⩖⊿($5479$∛$3360$))∥⊢⊲($2655$↤⩊$2028$⨽$1852$⩖⊿$1697$/$8199$⇍⊗$6901$∼(⪛⨧$2678$))","expression":"((⫖↰⪸151B≨⫖↰⪸1362)⨼⩣(⫖↰⪸852≣⋋))⨥⫆((≱⇩⩕⫖↰⪸830)⩖⊿(⫖↰⪸3207∛⫖↰⪸1B40))∥⊢⊲(⫖↰⪸1653↤⩊⫖↰⪸1210⨽⫖↰⪸10A4⩖⊿⫖↰⪸B95/⫖↰⪸48B3⇍⊗⫖↰⪸3BB1∼(⪛⨧⫖↰⪸1672))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1420,"operation_count":15,"complexity_ratio":94.66666666666667,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2471,"base":12},"right_expr":{"type":"numeric_atoms","value":2234,"base":12}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1214,"base":12}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1188,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5479,"base":12},"right_expr":{"type":"numeric_atoms","value":3360,"base":12}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2655,"base":12},"right_expr":{"type":"numeric_atoms","value":2028,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":1697,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":8199,"base":12},"right_expr":{"type":"numeric_atoms","value":6901,"base":12}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2678,"base":12}}}}},"used_operators":["v1UQAVDJRr","yXekIHxTD4","JxwMv5le6e","0KMCeP1Jsh","Tcnh7f0tEr","RZ5CV9rWsJ","3DZMoQKiUl","w2537kitQq","XhwjNDsVaA","8HhzD0ZcuI","13rbtpv6ld","DyGG3AbaNP","5uvYHDjeKN","6NJAcO2OWT"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2471","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=2234, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-22234","layer":3},{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22234, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=5479","layer":4},{"info":"number node, value=3360","layer":4},{"info":"compute binary expreesion, left_input=5479, right_input=3360, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-670, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=3254","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3254, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=2655","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=2028, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1852","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=1697, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6086","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6086, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=8199","layer":4},{"info":"number node, value=6901","layer":4},{"info":"compute binary expreesion, left_input=8199, right_input=6901, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2678","layer":4},{"info":"compute unary expreesion, input=2678, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6757","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=6757, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸151B≨⫖↰⪸1362)⨼⩣(⫖↰⪸852≣⋋))⨥⫆((≱⇩⩕⫖↰⪸830)⩖⊿(⫖↰⪸3207∛⫖↰⪸1B40))∥⊢⊲(⫖↰⪸1653↤⩊⫖↰⪸1210⨽⫖↰⪸10A4⩖⊿⫖↰⪸B95/⫖↰⪸48B3⇍⊗⫖↰⪸3BB1∼(⪛⨧⫖↰⪸1672))=NaN","reverse_text":"NaN=((⫖↰⪸151B≨⫖↰⪸1362)⨼⩣(⫖↰⪸852≣⋋))⨥⫆((≱⇩⩕⫖↰⪸830)⩖⊿(⫖↰⪸3207∛⫖↰⪸1B40))∥⊢⊲(⫖↰⪸1653↤⩊⫖↰⪸1210⨽⫖↰⪸10A4⩖⊿⫖↰⪸B95/⫖↰⪸48B3⇍⊗⫖↰⪸3BB1∼(⪛⨧⫖↰⪸1672))","cot":[{"info":"⫖↰⪸151B≨⫖↰⪸1362=⫖↰⪸-10A4A","layer":3},{"info":"⫖↰⪸852≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-10A4A⨼⩣⫖↰⪸0=NaN","layer":2},{"info":"≱⇩⩕⫖↰⪸830=⫖↰⪸95","layer":3},{"info":"⫖↰⪸3207∛⫖↰⪸1B40=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸95⩖⊿⫖↰⪸-47A=⫖↰⪸1A72","layer":2},{"info":"NaN⨥⫆⫖↰⪸1A72=NaN","layer":1},{"info":"⫖↰⪸1653↤⩊⫖↰⪸1210=NaN","layer":3},{"info":"⫖↰⪸10A4⩖⊿⫖↰⪸B95=⫖↰⪸3632","layer":3},{"info":"NaN⨽⫖↰⪸3632=NaN","layer":2},{"info":"⫖↰⪸48B3⇍⊗⫖↰⪸3BB1=⫖↰⪸-184","layer":3},{"info":"⪛⨧⫖↰⪸1672=⫖↰⪸3AB1","layer":3},{"info":"⫖↰⪸-184∼⫖↰⪸3AB1=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"NaN∥⊢⊲NaN=NaN","layer":0}]}
{"id":598,"expression_no_base_symbol":"(($1011$⇮⋭$1936$)⇴∐($1420$⩒⫫$6192$)∙∹∝(⩷⨜⫀$2754$)∌↝($1889$⋣⋖$2914$))⊀⩕","expression":"((⫖↰⪸703⇮⋭⫖↰⪸1154)⇴∐(⫖↰⪸9A4⩒⫫⫖↰⪸3700)∙∹∝(⩷⨜⫀⫖↰⪸1716)∌↝(⫖↰⪸1115⋣⋖⫖↰⪸182A))⊀⩕","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":877,"operation_count":8,"complexity_ratio":109.625,"tree":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1011,"base":12},"right_expr":{"type":"numeric_atoms","value":1936,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1420,"base":12},"right_expr":{"type":"numeric_atoms","value":6192,"base":12}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2754,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1889,"base":12},"right_expr":{"type":"numeric_atoms","value":2914,"base":12}}}}},"used_operators":["r0FS3hW4cC","HmxsFra2vL","HnzytWxmAO","vkpjKywKVM","KFSx94NKJn","9Isq31Ruls","CDi0ktkjQ4","J0M6qkBnIM"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1936, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=6192","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=6192, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1118","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=1118, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=2754","layer":4},{"info":"compute unary expreesion, input=2754, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2481","layer":3},{"info":"number node, value=1889","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=2914, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1889","layer":3},{"info":"compute binary expreesion, left_input=-2481, right_input=1889, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-5667","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5667, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸703⇮⋭⫖↰⪸1154)⇴∐(⫖↰⪸9A4⩒⫫⫖↰⪸3700)∙∹∝(⩷⨜⫀⫖↰⪸1716)∌↝(⫖↰⪸1115⋣⋖⫖↰⪸182A))⊀⩕=NaN","reverse_text":"NaN=((⫖↰⪸703⇮⋭⫖↰⪸1154)⇴∐(⫖↰⪸9A4⩒⫫⫖↰⪸3700)∙∹∝(⩷⨜⫀⫖↰⪸1716)∌↝(⫖↰⪸1115⋣⋖⫖↰⪸182A))⊀⩕","cot":[{"info":"⫖↰⪸703⇮⋭⫖↰⪸1154=⫖↰⪸-335","layer":3},{"info":"⫖↰⪸9A4⩒⫫⫖↰⪸3700=⫖↰⪸792","layer":3},{"info":"⫖↰⪸-335⇴∐⫖↰⪸792=NaN","layer":2},{"info":"⩷⨜⫀⫖↰⪸1716=⫖↰⪸-1529","layer":3},{"info":"⫖↰⪸1115⋣⋖⫖↰⪸182A=⫖↰⪸1115","layer":3},{"info":"⫖↰⪸-1529∌↝⫖↰⪸1115=⫖↰⪸-3343","layer":2},{"info":"NaN∙∹∝⫖↰⪸-3343=NaN","layer":1},{"info":"NaN⊀⩕=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"((∷≠($3564$⨼⩣$1960$))⪉⨛($2559$≃$2487$)⩷∴($4877$⩒⫫$1446$))⪕((⫖→(⇈$1486$))⋥≓≎$6102$≨$2112$⨪↰⇹(↩⪖$4928$))","expression":"((∷≠(⫖↰⪸2090⨼⩣⫖↰⪸1174))⪉⨛(⫖↰⪸1593≃⫖↰⪸1533)⩷∴(⫖↰⪸29A5⩒⫫⫖↰⪸A06))⪕((⫖→(⇈⫖↰⪸A3A))⋥≓≎⫖↰⪸3646≨⫖↰⪸1280⨪↰⇹(↩⪖⫖↰⪸2A28))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":60751,"operation_count":13,"complexity_ratio":4673.153846153846,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3564,"base":12},"right_expr":{"type":"numeric_atoms","value":1960,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2559,"base":12},"right_expr":{"type":"numeric_atoms","value":2487,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4877,"base":12},"right_expr":{"type":"numeric_atoms","value":1446,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1486,"base":12}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6102,"base":12},"right_expr":{"type":"numeric_atoms","value":2112,"base":12}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":4928,"base":12}}}}},"used_operators":["umQnsF7QlU","EWw2JM7wp4","QiR2Oyf5Xj","JxwMv5le6e","9FxExcQeMw","YbVcJGFEVW","KFSx94NKJn","Qy55tPpLXF","U4ylXWHChL","SLLxy00UIr","tmPS8pqC7x","0KMCeP1Jsh","fG6uBQFnGz"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","7j4O788W3g","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫖↰⪸65B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3564","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=1960, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":2},{"info":"number node, value=2559","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=2487, 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=-10276","layer":3},{"info":"number node, value=4877","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=4877, right_input=1446, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4575","layer":3},{"info":"compute binary expreesion, left_input=-10276, right_input=4575, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-29734","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-29734, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=1486","layer":4},{"info":"compute unary expreesion, input=1486, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=6102","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=6102, right_input=2112, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-58544","layer":3},{"info":"number node, value=4928","layer":4},{"info":"compute unary expreesion, input=4928, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-32550","layer":3},{"info":"compute binary expreesion, left_input=-58544, right_input=-32550, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-58544","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-58544, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-117232","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-117232, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":12,"result_base":12,"text":"((∷≠(⫖↰⪸2090⨼⩣⫖↰⪸1174))⪉⨛(⫖↰⪸1593≃⫖↰⪸1533)⩷∴(⫖↰⪸29A5⩒⫫⫖↰⪸A06))⪕((⫖→(⇈⫖↰⪸A3A))⋥≓≎⫖↰⪸3646≨⫖↰⪸1280⨪↰⇹(↩⪖⫖↰⪸2A28))=⫖↰⪸65B","reverse_text":"⫖↰⪸65B=((∷≠(⫖↰⪸2090⨼⩣⫖↰⪸1174))⪉⨛(⫖↰⪸1593≃⫖↰⪸1533)⩷∴(⫖↰⪸29A5⩒⫫⫖↰⪸A06))⪕((⫖→(⇈⫖↰⪸A3A))⋥≓≎⫖↰⪸3646≨⫖↰⪸1280⨪↰⇹(↩⪖⫖↰⪸2A28))","cot":[{"info":"⫖↰⪸2090⨼⩣⫖↰⪸1174=NaN","layer":3},{"info":"∷≠NaN=NaN","layer":2},{"info":"⫖↰⪸1593≃⫖↰⪸1533=⫖↰⪸-5B44","layer":3},{"info":"⫖↰⪸29A5⩒⫫⫖↰⪸A06=⫖↰⪸2793","layer":3},{"info":"⫖↰⪸-5B44⩷∴⫖↰⪸2793=⫖↰⪸-1525A","layer":2},{"info":"NaN⪉⨛⫖↰⪸-1525A=NaN","layer":1},{"info":"⇈⫖↰⪸A3A=⫖↰⪸-313","layer":3},{"info":"⫖→⫖↰⪸-313=⫖↰⪸129","layer":2},{"info":"⫖↰⪸3646≨⫖↰⪸1280=⫖↰⪸-29A68","layer":3},{"info":"↩⪖⫖↰⪸2A28=⫖↰⪸-16A06","layer":3},{"info":"⫖↰⪸-29A68⨪↰⇹⫖↰⪸-16A06=⫖↰⪸-29A68","layer":2},{"info":"⫖↰⪸129⋥≓≎⫖↰⪸-29A68=⫖↰⪸-57A14","layer":1},{"info":"NaN⪕⫖↰⪸-57A14=⫖↰⪸65B","layer":0}]}
{"id":600,"expression_no_base_symbol":"(∷≠$2261$)⪎↠($4724$⨭⪣$1711$)⋅⇍($4934$⊎←↗)↼⊘⨖$5496$⪮%⊝$6284$∙∹∝($7170$⪝$6372$⩚⊴⇥$4400$⇴$4232$)⊕∕((⫎≠⋺$3875$)≬⇓$1359$≝⊿$4816$)","expression":"(∷≠⫖↰⪸1385)⪎↠(⫖↰⪸2898⨭⪣⫖↰⪸BA7)⋅⇍(⫖↰⪸2A32⊎←↗)↼⊘⨖⫖↰⪸3220⪮%⊝⫖↰⪸3778∙∹∝(⫖↰⪸4196⪝⫖↰⪸3830⩚⊴⇥⫖↰⪸2668⇴⫖↰⪸2548)⊕∕((⫎≠⋺⫖↰⪸22AB)≬⇓⫖↰⪸953≝⊿⫖↰⪸2954)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":567,"operation_count":15,"complexity_ratio":37.8,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":2261,"base":12}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4724,"base":12},"right_expr":{"type":"numeric_atoms","value":1711,"base":12}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":4934,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5496,"base":12},"right_expr":{"type":"numeric_atoms","value":6284,"base":12}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":7170,"base":12},"right_expr":{"type":"numeric_atoms","value":6372,"base":12}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4400,"base":12},"right_expr":{"type":"numeric_atoms","value":4232,"base":12}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":3875,"base":12}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1359,"base":12},"right_expr":{"type":"numeric_atoms","value":4816,"base":12}}}}},"used_operators":["HmxsFra2vL","AdZkA7nFnk","3tVxb0NHM4","QiR2Oyf5Xj","kn8WO9XteQ","bPywburJMS","dwb5p0fa6d","IWmyXbctLI","9cloC0Ngie","NTOWxs364D","wicAB68Tmb","4JB6nKBMSY","jWTQ2TZYIH","LYeZOJ0nQG","OKKcZfAt5B"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","7j4O788W3g","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","sdazOOVcIp","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","sdazOOVcIp","NTOWxs364D","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","12rbrZMWeM"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2261","layer":4},{"info":"compute unary expreesion, input=2261, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=2261","layer":3},{"info":"number node, value=4724","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=1711, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3445","layer":3},{"info":"compute binary expreesion, left_input=2261, right_input=3445, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=4934","layer":4},{"info":"compute unary expreesion, input=4934, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-9183","layer":3},{"info":"number node, value=5496","layer":4},{"info":"number node, value=6284","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=6284, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11308","layer":3},{"info":"compute binary expreesion, left_input=-9183, right_input=11308, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=22394","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=22394, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=7170","layer":4},{"info":"number node, value=6372","layer":4},{"info":"compute binary expreesion, left_input=7170, right_input=6372, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3591","layer":3},{"info":"number node, value=4400","layer":4},{"info":"number node, value=4232","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=4232, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=34478","layer":3},{"info":"compute binary expreesion, left_input=-3591, right_input=34478, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-31008","layer":2},{"info":"number node, value=3875","layer":4},{"info":"compute unary expreesion, input=3875, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=4816","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=4816, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11524","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11524, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-31008, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-31008","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-31008, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(∷≠⫖↰⪸1385)⪎↠(⫖↰⪸2898⨭⪣⫖↰⪸BA7)⋅⇍(⫖↰⪸2A32⊎←↗)↼⊘⨖⫖↰⪸3220⪮%⊝⫖↰⪸3778∙∹∝(⫖↰⪸4196⪝⫖↰⪸3830⩚⊴⇥⫖↰⪸2668⇴⫖↰⪸2548)⊕∕((⫎≠⋺⫖↰⪸22AB)≬⇓⫖↰⪸953≝⊿⫖↰⪸2954)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(∷≠⫖↰⪸1385)⪎↠(⫖↰⪸2898⨭⪣⫖↰⪸BA7)⋅⇍(⫖↰⪸2A32⊎←↗)↼⊘⨖⫖↰⪸3220⪮%⊝⫖↰⪸3778∙∹∝(⫖↰⪸4196⪝⫖↰⪸3830⩚⊴⇥⫖↰⪸2668⇴⫖↰⪸2548)⊕∕((⫎≠⋺⫖↰⪸22AB)≬⇓⫖↰⪸953≝⊿⫖↰⪸2954)","cot":[{"info":"∷≠⫖↰⪸1385=⫖↰⪸1385","layer":3},{"info":"⫖↰⪸2898⨭⪣⫖↰⪸BA7=⫖↰⪸1BB1","layer":3},{"info":"⫖↰⪸1385⪎↠⫖↰⪸1BB1=⫖↰⪸114","layer":2},{"info":"⫖↰⪸2A32⊎←↗=⫖↰⪸-5393","layer":3},{"info":"⫖↰⪸3220⪮%⊝⫖↰⪸3778=⫖↰⪸6664","layer":3},{"info":"⫖↰⪸-5393↼⊘⨖⫖↰⪸6664=⫖↰⪸10B62","layer":2},{"info":"⫖↰⪸114⋅⇍⫖↰⪸10B62=⫖↰⪸-1A","layer":1},{"info":"⫖↰⪸4196⪝⫖↰⪸3830=⫖↰⪸-20B3","layer":3},{"info":"⫖↰⪸2668⇴⫖↰⪸2548=⫖↰⪸17B52","layer":3},{"info":"⫖↰⪸-20B3⩚⊴⇥⫖↰⪸17B52=⫖↰⪸-15B40","layer":2},{"info":"⫎≠⋺⫖↰⪸22AB=⫖↰⪸0","layer":3},{"info":"⫖↰⪸953≝⊿⫖↰⪸2954=⫖↰⪸-6804","layer":3},{"info":"⫖↰⪸0≬⇓⫖↰⪸-6804=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-15B40⊕∕⫖↰⪸0=⫖↰⪸-15B40","layer":1},{"info":"⫖↰⪸-1A∙∹∝⫖↰⪸-15B40=⫖↰⪸0","layer":0}]}
{"id":601,"expression_no_base_symbol":"(∨∊⋏(⇉-⫰$1890$))⊬⨰($5962$⪝$1146$⪬∳)≀⫉((↪⫪⫘$1018$)↳≱($2882$⊉↱≁$4394$)⇯⋐)","expression":"(∨∊⋏(⇉-⫰⫖↰⪸1116))⊬⨰(⫖↰⪸354A⪝⫖↰⪸7B6⪬∳)≀⫉((↪⫪⫘⫖↰⪸70A)↳≱(⫖↰⪸1802⊉↱≁⫖↰⪸2662)⇯⋐)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":59974,"operation_count":10,"complexity_ratio":5997.4,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1890,"base":12}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5962,"base":12},"right_expr":{"type":"numeric_atoms","value":1146,"base":12}}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1018,"base":12}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2882,"base":12},"right_expr":{"type":"numeric_atoms","value":4394,"base":12}}}}},"used_operators":["oZj3VtZNQx","s3Fd5m9Dh2","R5aXW34M0v","IGFM8TAlm9","O9U3z1385E","wicAB68Tmb","LkLIoiE525","JwTKLfZU96","9dWsAM3GFt","w2P8NbNXyL"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eH2TOUuTDT","eewbuw0ToL","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⫖↰⪸1772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1890","layer":4},{"info":"compute unary expreesion, input=1890, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-7421","layer":2},{"info":"number node, value=5962","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=5962, right_input=1146, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-19663","layer":3},{"info":"compute unary expreesion, input=-19663, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=-7421, right_input=-709, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-17678","layer":1},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=2882","layer":4},{"info":"number node, value=4394","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=4394, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1342","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=1342, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=878","layer":1},{"info":"compute binary expreesion, left_input=-17678, right_input=878, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":12,"result_base":12,"text":"(∨∊⋏(⇉-⫰⫖↰⪸1116))⊬⨰(⫖↰⪸354A⪝⫖↰⪸7B6⪬∳)≀⫉((↪⫪⫘⫖↰⪸70A)↳≱(⫖↰⪸1802⊉↱≁⫖↰⪸2662)⇯⋐)=⫖↰⪸1772","reverse_text":"⫖↰⪸1772=(∨∊⋏(⇉-⫰⫖↰⪸1116))⊬⨰(⫖↰⪸354A⪝⫖↰⪸7B6⪬∳)≀⫉((↪⫪⫘⫖↰⪸70A)↳≱(⫖↰⪸1802⊉↱≁⫖↰⪸2662)⇯⋐)","cot":[{"info":"⇉-⫰⫖↰⪸1116=⫖↰⪸18","layer":3},{"info":"∨∊⋏⫖↰⪸18=⫖↰⪸-4365","layer":2},{"info":"⫖↰⪸354A⪝⫖↰⪸7B6=⫖↰⪸-B467","layer":3},{"info":"⫖↰⪸-B467⪬∳=⫖↰⪸-4B1","layer":2},{"info":"⫖↰⪸-4365⊬⨰⫖↰⪸-4B1=⫖↰⪸-A292","layer":1},{"info":"↪⫪⫘⫖↰⪸70A=⫖↰⪸18","layer":3},{"info":"⫖↰⪸1802⊉↱≁⫖↰⪸2662=⫖↰⪸93A","layer":3},{"info":"⫖↰⪸18↳≱⫖↰⪸93A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⇯⋐=⫖↰⪸612","layer":1},{"info":"⫖↰⪸-A292≀⫉⫖↰⪸612=⫖↰⪸1772","layer":0}]}
{"id":602,"expression_no_base_symbol":"((⇋↷$1558$)⪢($4347$∟))∘((⫇$9049$)⪚($2866$∛$1064$))⪢($1109$⪥$2970$∙∹∝$1578$≁↽≥$1609$⫡⨏($1616$⨉)⨑⩅≇($1240$⨑≵⋬$1211$))","expression":"((⇋↷⫖↰⪸A9A)⪢(⫖↰⪸2623∟))∘((⫇⫖↰⪸52A1)⪚(⫖↰⪸17AA∛⫖↰⪸748))⪢(⫖↰⪸785⪥⫖↰⪸1876∙∹∝⫖↰⪸AB6≁↽≥⫖↰⪸B21⫡⨏(⫖↰⪸B28⨉)⨑⩅≇(⫖↰⪸874⨑≵⋬⫖↰⪸84B))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39719,"operation_count":15,"complexity_ratio":2647.9333333333334,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1558,"base":12}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":4347,"base":12}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":9049,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2866,"base":12},"right_expr":{"type":"numeric_atoms","value":1064,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1109,"base":12},"right_expr":{"type":"numeric_atoms","value":2970,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1578,"base":12},"right_expr":{"type":"numeric_atoms","value":1609,"base":12}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1616,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1240,"base":12},"right_expr":{"type":"numeric_atoms","value":1211,"base":12}}}}},"used_operators":["dWAJyo7jo9","Z5m6OM72h2","SWo3A1KBJH","hTbEZDJLEm","HrjLwUk87U","YjI8oCXuph","w2537kitQq","QMFrweE19q","HmxsFra2vL","QbnwKVWMIQ","ncHt1X6cMc","h92wMvzauj","aMUSaJuDRU","XnXgA4xnOs"],"dependent_operators":["k8jYdgA6NY","eH2TOUuTDT","rysDP5nf3Z","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","oWn0xqSxBt","3Oe9XWJUTD","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1558","layer":4},{"info":"compute unary expreesion, input=1558, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12464","layer":3},{"info":"number node, value=4347","layer":4},{"info":"compute unary expreesion, input=4347, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=12464, right_input=113, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=9049","layer":4},{"info":"compute unary expreesion, input=9049, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-16884","layer":3},{"info":"number node, value=2866","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=1064, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-16884, right_input=67, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=32892","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32892, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=1109","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=2970, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9088","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1609, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=27140","layer":3},{"info":"compute binary expreesion, left_input=9088, right_input=27140, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1616","layer":4},{"info":"compute unary expreesion, input=1616, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=5560","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1211, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-898","layer":3},{"info":"compute binary expreesion, left_input=5560, right_input=-898, 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=-16680","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-16680, 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=-32577","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-32577, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":12,"result_base":12,"text":"((⇋↷⫖↰⪸A9A)⪢(⫖↰⪸2623∟))∘((⫇⫖↰⪸52A1)⪚(⫖↰⪸17AA∛⫖↰⪸748))⪢(⫖↰⪸785⪥⫖↰⪸1876∙∹∝⫖↰⪸AB6≁↽≥⫖↰⪸B21⫡⨏(⫖↰⪸B28⨉)⨑⩅≇(⫖↰⪸874⨑≵⋬⫖↰⪸84B))=NaN","reverse_text":"NaN=((⇋↷⫖↰⪸A9A)⪢(⫖↰⪸2623∟))∘((⫇⫖↰⪸52A1)⪚(⫖↰⪸17AA∛⫖↰⪸748))⪢(⫖↰⪸785⪥⫖↰⪸1876∙∹∝⫖↰⪸AB6≁↽≥⫖↰⪸B21⫡⨏(⫖↰⪸B28⨉)⨑⩅≇(⫖↰⪸874⨑≵⋬⫖↰⪸84B))","cot":[{"info":"⇋↷⫖↰⪸A9A=⫖↰⪸7268","layer":3},{"info":"⫖↰⪸2623∟=⫖↰⪸95","layer":3},{"info":"⫖↰⪸7268⪢⫖↰⪸95=NaN","layer":2},{"info":"⫇⫖↰⪸52A1=⫖↰⪸-9930","layer":3},{"info":"⫖↰⪸17AA∛⫖↰⪸748=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-9930⪚⫖↰⪸57=⫖↰⪸17050","layer":2},{"info":"NaN∘⫖↰⪸17050=NaN","layer":1},{"info":"⫖↰⪸785⪥⫖↰⪸1876=⫖↰⪸5314","layer":3},{"info":"⫖↰⪸AB6≁↽≥⫖↰⪸B21=⫖↰⪸13858","layer":3},{"info":"⫖↰⪸5314∙∹∝⫖↰⪸13858=⫖↰⪸0","layer":2},{"info":"⫖↰⪸B28⨉=⫖↰⪸3274","layer":3},{"info":"⫖↰⪸874⨑≵⋬⫖↰⪸84B=⫖↰⪸-62A","layer":3},{"info":"⫖↰⪸3274⨑⩅≇⫖↰⪸-62A=⫖↰⪸-97A0","layer":2},{"info":"⫖↰⪸0⫡⨏⫖↰⪸-97A0=⫖↰⪸-16A29","layer":1},{"info":"NaN⪢⫖↰⪸-16A29=NaN","layer":0}]}
{"id":603,"expression_no_base_symbol":"((⨈⪑$1024$∌$5595$)⨲∙)⩦(⩷($4641$⩖⊿$1033$∠↢$4425$⊝⪿⪼$1399$))","expression":"((⨈⪑⫖↰⪸714∌⫖↰⪸32A3)⨲∙)⩦(⩷(⫖↰⪸2829⩖⊿⫖↰⪸721∠↢⫖↰⪸2689⊝⪿⪼⫖↰⪸987))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":624,"operation_count":8,"complexity_ratio":78.0,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":5595,"base":12}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4641,"base":12},"right_expr":{"type":"numeric_atoms","value":1033,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4425,"base":12},"right_expr":{"type":"numeric_atoms","value":1399,"base":12}}}}},"used_operators":["0kmYd0q39Y","cRahaglYVE","mp94q5OcYM","8cLx32lpNA","1h0rLqGiFr","KbjG8mgYpV","RZ5CV9rWsJ","3Oe9XWJUTD"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⫖↰⪸67B2238","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":4},{"info":"number node, value=5595","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=5595, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5595","layer":3},{"info":"compute unary expreesion, input=-5595, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=9944806","layer":1},{"info":"number node, value=4641","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=1033, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-10382","layer":3},{"info":"number node, value=4425","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=1399, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=64571","layer":3},{"info":"compute binary expreesion, left_input=-10382, right_input=64571, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-861384","layer":2},{"info":"compute unary expreesion, input=-861384, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=10336529","layer":1},{"info":"compute binary expreesion, left_input=9944806, right_input=10336529, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=19889612","layer":0}],"base":12,"result_base":12,"text":"((⨈⪑⫖↰⪸714∌⫖↰⪸32A3)⨲∙)⩦(⩷(⫖↰⪸2829⩖⊿⫖↰⪸721∠↢⫖↰⪸2689⊝⪿⪼⫖↰⪸987))=⫖↰⪸67B2238","reverse_text":"⫖↰⪸67B2238=((⨈⪑⫖↰⪸714∌⫖↰⪸32A3)⨲∙)⩦(⩷(⫖↰⪸2829⩖⊿⫖↰⪸721∠↢⫖↰⪸2689⊝⪿⪼⫖↰⪸987))","cot":[{"info":"⫖↰⪸714∌⫖↰⪸32A3=⫖↰⪸-32A3","layer":3},{"info":"⨈⪑⫖↰⪸-32A3=⫖↰⪸604","layer":2},{"info":"⫖↰⪸604⨲∙=⫖↰⪸33B711A","layer":1},{"info":"⫖↰⪸2829⩖⊿⫖↰⪸721=⫖↰⪸-6012","layer":3},{"info":"⫖↰⪸2689⊝⪿⪼⫖↰⪸987=⫖↰⪸3144B","layer":3},{"info":"⫖↰⪸-6012∠↢⫖↰⪸3144B=⫖↰⪸-3565A0","layer":2},{"info":"⩷⫖↰⪸-3565A0=⫖↰⪸3565955","layer":1},{"info":"⫖↰⪸33B711A⩦⫖↰⪸3565955=⫖↰⪸67B2238","layer":0}]}
{"id":604,"expression_no_base_symbol":"(↞≼($5265$⫢⨠$1969$))⨐⩸⫘$7300$⪇≇⋚$5168$≥⨤⩑(≱⇩⩕$5026$)∲⫓(⩏⊷≩$5450$)↞⋁$6041$≁↽≥$1627$⪛($3787$⇍⊗$4917$⊍⩺⋍$1077$∑⇟⊟$1068$)","expression":"(↞≼(⫖↰⪸3069⫢⨠⫖↰⪸1181))⨐⩸⫘⫖↰⪸4284⪇≇⋚⫖↰⪸2BA8≥⨤⩑(≱⇩⩕⫖↰⪸2AAA)∲⫓(⩏⊷≩⫖↰⪸31A2)↞⋁⫖↰⪸35B5≁↽≥⫖↰⪸B37⪛(⫖↰⪸2237⇍⊗⫖↰⪸2A19⊍⩺⋍⫖↰⪸759∑⇟⊟⫖↰⪸750)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":594,"operation_count":14,"complexity_ratio":42.42857142857143,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5265,"base":12},"right_expr":{"type":"numeric_atoms","value":1969,"base":12}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":7300,"base":12},"right_expr":{"type":"numeric_atoms","value":5168,"base":12}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5026,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":5450,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6041,"base":12},"right_expr":{"type":"numeric_atoms","value":1627,"base":12}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3787,"base":12},"right_expr":{"type":"numeric_atoms","value":4917,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1077,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}}}}},"used_operators":["i8ToyICDmI","fu6greOZ01","DE7zCoGJt9","xlXykHWxX1","gJLn6v0xnP","3sJ7IOPOlU","3DZMoQKiUl","uFcxV4UQCh","RqrPlJkxDo","uOZ1tnYMDE","ncHt1X6cMc","OXDGMFPWZM","5uvYHDjeKN","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","23Mk6UjR3U","12rbrZMWeM","oWn0xqSxBt","3Oe9XWJUTD","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5265","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=5265, right_input=1969, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=866","layer":2},{"info":"number node, value=7300","layer":4},{"info":"number node, value=5168","layer":4},{"info":"compute binary expreesion, left_input=7300, right_input=5168, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=5026","layer":4},{"info":"compute unary expreesion, input=5026, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=866, right_input=1234, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5450","layer":4},{"info":"compute unary expreesion, input=5450, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=10599","layer":3},{"info":"number node, value=6041","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=6041, right_input=1627, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=85123","layer":3},{"info":"compute binary expreesion, left_input=10599, right_input=85123, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=3787","layer":4},{"info":"number node, value=4917","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=4917, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=1068, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↞≼(⫖↰⪸3069⫢⨠⫖↰⪸1181))⨐⩸⫘⫖↰⪸4284⪇≇⋚⫖↰⪸2BA8≥⨤⩑(≱⇩⩕⫖↰⪸2AAA)∲⫓(⩏⊷≩⫖↰⪸31A2)↞⋁⫖↰⪸35B5≁↽≥⫖↰⪸B37⪛(⫖↰⪸2237⇍⊗⫖↰⪸2A19⊍⩺⋍⫖↰⪸759∑⇟⊟⫖↰⪸750)=NaN","reverse_text":"NaN=(↞≼(⫖↰⪸3069⫢⨠⫖↰⪸1181))⨐⩸⫘⫖↰⪸4284⪇≇⋚⫖↰⪸2BA8≥⨤⩑(≱⇩⩕⫖↰⪸2AAA)∲⫓(⩏⊷≩⫖↰⪸31A2)↞⋁⫖↰⪸35B5≁↽≥⫖↰⪸B37⪛(⫖↰⪸2237⇍⊗⫖↰⪸2A19⊍⩺⋍⫖↰⪸759∑⇟⊟⫖↰⪸750)","cot":[{"info":"⫖↰⪸3069⫢⨠⫖↰⪸1181=⫖↰⪸114","layer":3},{"info":"↞≼⫖↰⪸114=⫖↰⪸602","layer":2},{"info":"⫖↰⪸4284⪇≇⋚⫖↰⪸2BA8=⫖↰⪸0","layer":3},{"info":"≱⇩⩕⫖↰⪸2AAA=⫖↰⪸95","layer":3},{"info":"⫖↰⪸0≥⨤⩑⫖↰⪸95=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸602⨐⩸⫘⫖↰⪸86A=NaN","layer":1},{"info":"⩏⊷≩⫖↰⪸31A2=⫖↰⪸6173","layer":3},{"info":"⫖↰⪸35B5≁↽≥⫖↰⪸B37=⫖↰⪸41317","layer":3},{"info":"⫖↰⪸6173↞⋁⫖↰⪸41317=NaN","layer":2},{"info":"⫖↰⪸2237⇍⊗⫖↰⪸2A19=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸759∑⇟⊟⫖↰⪸750=NaN","layer":3},{"info":"⫖↰⪸-184⊍⩺⋍NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"($2527$↼⊘⨖$1151$⨔≚≋$6912$≹⇙⪍$1084$)⋹⋡⊁($9433$⇴$2141$∠⫱$1230$⊝⪿⪼$1836$)⋭≵$3288$↳∿⪆$1985$≨($1007$%$1694$)∌↝($5496$⩖⊿$2482$⊊)","expression":"(⫖↰⪸1567↼⊘⨖⫖↰⪸7BB⨔≚≋⫖↰⪸4000≹⇙⪍⫖↰⪸764)⋹⋡⊁(⫖↰⪸5561⇴⫖↰⪸12A5∠⫱⫖↰⪸866⊝⪿⪼⫖↰⪸1090)⋭≵⫖↰⪸1AA0↳∿⪆⫖↰⪸1195≨(⫖↰⪸6BB%⫖↰⪸B92)∌↝(⫖↰⪸3220⩖⊿⫖↰⪸152A⊊)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":65441,"operation_count":14,"complexity_ratio":4674.357142857143,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2527,"base":12},"right_expr":{"type":"numeric_atoms","value":1151,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6912,"base":12},"right_expr":{"type":"numeric_atoms","value":1084,"base":12}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":9433,"base":12},"right_expr":{"type":"numeric_atoms","value":2141,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1230,"base":12},"right_expr":{"type":"numeric_atoms","value":1836,"base":12}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3288,"base":12},"right_expr":{"type":"numeric_atoms","value":1985,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":1694,"base":12}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5496,"base":12},"right_expr":{"type":"numeric_atoms","value":2482,"base":12}}}}},"used_operators":["jBncVCNhdl","As8RqfVLgs","Z57zeUYC9z","bPywburJMS","AHs5Up7iyr","QvoQhV0rrE","4JB6nKBMSY","3Oe9XWJUTD","9Isq31Ruls","0KMCeP1Jsh","Cw4SuJJGHO","k8jYdgA6NY","W9R8I5fN5A","RZ5CV9rWsJ"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2527","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2527, right_input=1151, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2080","layer":3},{"info":"number node, value=6912","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=6912, right_input=1084, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2080, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=9433","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=9433, right_input=2141, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=60494","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1836, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=28382","layer":3},{"info":"compute binary expreesion, left_input=60494, right_input=28382, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1984","layer":1},{"info":"number node, value=3288","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=1985, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1694, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1007","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1007, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=5496","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=2482, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2210","layer":3},{"info":"compute unary expreesion, input=-2210, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=90927, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1984, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1567↼⊘⨖⫖↰⪸7BB⨔≚≋⫖↰⪸4000≹⇙⪍⫖↰⪸764)⋹⋡⊁(⫖↰⪸5561⇴⫖↰⪸12A5∠⫱⫖↰⪸866⊝⪿⪼⫖↰⪸1090)⋭≵⫖↰⪸1AA0↳∿⪆⫖↰⪸1195≨(⫖↰⪸6BB%⫖↰⪸B92)∌↝(⫖↰⪸3220⩖⊿⫖↰⪸152A⊊)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫖↰⪸1567↼⊘⨖⫖↰⪸7BB⨔≚≋⫖↰⪸4000≹⇙⪍⫖↰⪸764)⋹⋡⊁(⫖↰⪸5561⇴⫖↰⪸12A5∠⫱⫖↰⪸866⊝⪿⪼⫖↰⪸1090)⋭≵⫖↰⪸1AA0↳∿⪆⫖↰⪸1195≨(⫖↰⪸6BB%⫖↰⪸B92)∌↝(⫖↰⪸3220⩖⊿⫖↰⪸152A⊊)","cot":[{"info":"⫖↰⪸1567↼⊘⨖⫖↰⪸7BB=⫖↰⪸1254","layer":3},{"info":"⫖↰⪸4000≹⇙⪍⫖↰⪸764=NaN","layer":3},{"info":"⫖↰⪸1254⨔≚≋NaN=NaN","layer":2},{"info":"⫖↰⪸5561⇴⫖↰⪸12A5=⫖↰⪸2B012","layer":3},{"info":"⫖↰⪸866⊝⪿⪼⫖↰⪸1090=⫖↰⪸14512","layer":3},{"info":"⫖↰⪸2B012∠⫱⫖↰⪸14512=⫖↰⪸86A","layer":2},{"info":"NaN⋹⋡⊁⫖↰⪸86A=⫖↰⪸1194","layer":1},{"info":"⫖↰⪸1AA0↳∿⪆⫖↰⪸1195=NaN","layer":3},{"info":"⫖↰⪸6BB%⫖↰⪸B92=⫖↰⪸6BB","layer":3},{"info":"NaN≨⫖↰⪸6BB=NaN","layer":2},{"info":"⫖↰⪸3220⩖⊿⫖↰⪸152A=⫖↰⪸-1342","layer":3},{"info":"⫖↰⪸-1342⊊=⫖↰⪸44753","layer":2},{"info":"NaN∌↝⫖↰⪸44753=NaN","layer":1},{"info":"⫖↰⪸1194⋭≵NaN=⫖↰⪸57","layer":0}]}
{"id":606,"expression_no_base_symbol":"(($1308$⇂≾⫗$7537$⊘)⪣⫩)≀⫉(≘(($1470$≀⫉$5143$)⫿))","expression":"((⫖↰⪸910⇂≾⫗⫖↰⪸4441⊘)⪣⫩)≀⫉(≘((⫖↰⪸A26≀⫉⫖↰⪸2B87)⫿))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":615,"operation_count":7,"complexity_ratio":87.85714285714286,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1308,"base":12},"right_expr":{"type":"numeric_atoms","value":7537,"base":12}}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1470,"base":12},"right_expr":{"type":"numeric_atoms","value":5143,"base":12}}}}},"used_operators":["oZj3VtZNQx","iuk5sVOGFA","gu96TGCTMs","aBQ6xLxuTc","tcjXMdvYtA","9tKT6PmtkH"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"⫖↰⪸1772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1308","layer":4},{"info":"number node, value=7537","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=7537, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"number node, value=1470","layer":4},{"info":"number node, value=5143","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=5143, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6223294","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=6223294, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸910⇂≾⫗⫖↰⪸4441⊘)⪣⫩)≀⫉(≘((⫖↰⪸A26≀⫉⫖↰⪸2B87)⫿))=⫖↰⪸1772","reverse_text":"⫖↰⪸1772=((⫖↰⪸910⇂≾⫗⫖↰⪸4441⊘)⪣⫩)≀⫉(≘((⫖↰⪸A26≀⫉⫖↰⪸2B87)⫿))","cot":[{"info":"⫖↰⪸910⇂≾⫗⫖↰⪸4441=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸-484⊘=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸-1⪣⫩=⫖↰⪸641","layer":1},{"info":"⫖↰⪸A26≀⫉⫖↰⪸2B87=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸1772⫿=⫖↰⪸1772","layer":2},{"info":"≘⫖↰⪸1772=⫖↰⪸210153A","layer":1},{"info":"⫖↰⪸641≀⫉⫖↰⪸210153A=⫖↰⪸1772","layer":0}]}
{"id":607,"expression_no_base_symbol":"((↘$3917$⨂≜$1743$)⊎←↗)⊟⇱","expression":"((↘⫖↰⪸2325⨂≜⫖↰⪸1013)⊎←↗)⊟⇱","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3974,"operation_count":4,"complexity_ratio":993.5,"tree":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3917,"base":12},"right_expr":{"type":"numeric_atoms","value":1743,"base":12}}}}},"used_operators":["03sUfWo75k","dwb5p0fa6d","LdNpr8hQHL","k1SHOSEABc"],"dependent_operators":["IWmyXbctLI","sdazOOVcIp","COABgblf1C","uFcxV4UQCh","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3917","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=1743, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↘⫖↰⪸2325⨂≜⫖↰⪸1013)⊎←↗)⊟⇱=NaN","reverse_text":"NaN=((↘⫖↰⪸2325⨂≜⫖↰⪸1013)⊎←↗)⊟⇱","cot":[{"info":"⫖↰⪸2325⨂≜⫖↰⪸1013=NaN","layer":3},{"info":"↘NaN=NaN","layer":2},{"info":"NaN⊎←↗=NaN","layer":1},{"info":"NaN⊟⇱=NaN","layer":0}]}
{"id":608,"expression_no_base_symbol":"($2370$⇷$1022$⇴$2549$⋣⋖$1852$)↓(($2054$⋳⪒$4182$)⨲)⨵⪆$4063$⨽∌$2591$⊋≦⊧($1252$⩏)∲⫓(⇜⊴$4329$⨽$1430$)","expression":"(⫖↰⪸1456⇷⫖↰⪸712⇴⫖↰⪸1585⋣⋖⫖↰⪸10A4)↓((⫖↰⪸1232⋳⪒⫖↰⪸2506)⨲)⨵⪆⫖↰⪸2427⨽∌⫖↰⪸15BB⊋≦⊧(⫖↰⪸884⩏)∲⫓(⇜⊴⫖↰⪸2609⨽⫖↰⪸9B2)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44105,"operation_count":13,"complexity_ratio":3392.6923076923076,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2370,"base":12},"right_expr":{"type":"numeric_atoms","value":1022,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2549,"base":12},"right_expr":{"type":"numeric_atoms","value":1852,"base":12}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2054,"base":12},"right_expr":{"type":"numeric_atoms","value":4182,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4063,"base":12},"right_expr":{"type":"numeric_atoms","value":2591,"base":12}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1252,"base":12}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4329,"base":12},"right_expr":{"type":"numeric_atoms","value":1430,"base":12}}}}},"used_operators":["2DQ55sFlQl","Af076pWI7l","4JB6nKBMSY","mp7IySMOzn","J0M6qkBnIM","nLYMGWM7L8","12rbrZMWeM","i8ToyICDmI","oRDoc9rAEX","9samAPKr6k","iA2gmKZ3Wj","XwDhCwWbUn","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","sdazOOVcIp","NTOWxs364D","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","z6LnFrNh4i","Tcnh7f0tEr","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=1022, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2044","layer":3},{"info":"number node, value=2549","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=1852, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2549","layer":3},{"info":"compute binary expreesion, left_input=2044, right_input=2549, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16976","layer":2},{"info":"number node, value=2054","layer":4},{"info":"number node, value=4182","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=4182, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-361","layer":3},{"info":"compute unary expreesion, input=-361, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute binary expreesion, left_input=16976, right_input=4683709, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=4063","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=4063, right_input=2591, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=4329","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=4329, right_input=1430, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-56223699","layer":3},{"info":"compute unary expreesion, input=-56223699, 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=-1799152004","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-1799152004, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=192, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1456⇷⫖↰⪸712⇴⫖↰⪸1585⋣⋖⫖↰⪸10A4)↓((⫖↰⪸1232⋳⪒⫖↰⪸2506)⨲)⨵⪆⫖↰⪸2427⨽∌⫖↰⪸15BB⊋≦⊧(⫖↰⪸884⩏)∲⫓(⇜⊴⫖↰⪸2609⨽⫖↰⪸9B2)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸1456⇷⫖↰⪸712⇴⫖↰⪸1585⋣⋖⫖↰⪸10A4)↓((⫖↰⪸1232⋳⪒⫖↰⪸2506)⨲)⨵⪆⫖↰⪸2427⨽∌⫖↰⪸15BB⊋≦⊧(⫖↰⪸884⩏)∲⫓(⇜⊴⫖↰⪸2609⨽⫖↰⪸9B2)","cot":[{"info":"⫖↰⪸1456⇷⫖↰⪸712=⫖↰⪸1224","layer":3},{"info":"⫖↰⪸1585⋣⋖⫖↰⪸10A4=⫖↰⪸1585","layer":3},{"info":"⫖↰⪸1224⇴⫖↰⪸1585=⫖↰⪸99A8","layer":2},{"info":"⫖↰⪸1232⋳⪒⫖↰⪸2506=⫖↰⪸-261","layer":3},{"info":"⫖↰⪸-261⨲=⫖↰⪸169A591","layer":2},{"info":"⫖↰⪸99A8↓⫖↰⪸169A591=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸2427⨽∌⫖↰⪸15BB=⫖↰⪸0","layer":3},{"info":"⫖↰⪸884⩏=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊋≦⊧⫖↰⪸0=⫖↰⪸140","layer":2},{"info":"⫖↰⪸2609⨽⫖↰⪸9B2=⫖↰⪸-169B4A43","layer":3},{"info":"⇜⊴⫖↰⪸-169B4A43=⫖↰⪸-422647B18","layer":2},{"info":"⫖↰⪸140∲⫓⫖↰⪸-422647B18=⫖↰⪸140","layer":1},{"info":"⫖↰⪸-B2⨵⪆⫖↰⪸140=⫖↰⪸114","layer":0}]}
{"id":609,"expression_no_base_symbol":"(($2245$⩘$1162$⫲)↙(↪⫪⫘$2805$)≌($1874$∌$5837$))≥⨤⩑(($3091$⪨≂$1605$)⩵∡$5211$⫣⪄⊒$2399$)⪭≯($1916$⊨$1212$)⨥⫆($1010$⇮⋭$3455$)","expression":"((⫖↰⪸1371⩘⫖↰⪸80A⫲)↙(↪⫪⫘⫖↰⪸1759)≌(⫖↰⪸1102∌⫖↰⪸3465))≥⨤⩑((⫖↰⪸1957⪨≂⫖↰⪸B19)⩵∡⫖↰⪸3023⫣⪄⊒⫖↰⪸147B)⪭≯(⫖↰⪸1138⊨⫖↰⪸850)⨥⫆(⫖↰⪸702⇮⋭⫖↰⪸1BBB)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13304,"operation_count":14,"complexity_ratio":950.2857142857143,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2245,"base":12},"right_expr":{"type":"numeric_atoms","value":1162,"base":12}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2805,"base":12}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1874,"base":12},"right_expr":{"type":"numeric_atoms","value":5837,"base":12}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3091,"base":12},"right_expr":{"type":"numeric_atoms","value":1605,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5211,"base":12},"right_expr":{"type":"numeric_atoms","value":2399,"base":12}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1916,"base":12},"right_expr":{"type":"numeric_atoms","value":1212,"base":12}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1010,"base":12},"right_expr":{"type":"numeric_atoms","value":3455,"base":12}}}}},"used_operators":["gJLn6v0xnP","yyfyN0ffXY","9xnGDUPbC6","cHh1gJQ2o6","lyWz822IDG","9dWsAM3GFt","8cLx32lpNA","XAx5wpdLa6","Y7wcNGrDQJ","sdazOOVcIp","RabNbG55vr","yXekIHxTD4","vg4gO5BX6G","vkpjKywKVM"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2245","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=1162, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-113","layer":2},{"info":"number node, value=2805","layer":4},{"info":"compute unary expreesion, input=2805, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1874","layer":4},{"info":"number node, value=5837","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=5837, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5837","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-5837, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-113","layer":1},{"info":"number node, value=3091","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=1605, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3074","layer":3},{"info":"number node, value=5211","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=5211, right_input=2399, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-4484","layer":3},{"info":"compute binary expreesion, left_input=3074, right_input=-4484, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-10753","layer":2},{"info":"number node, value=1916","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=1212, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8695","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=3455, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=8695, right_input=-473, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-10753, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1371⩘⫖↰⪸80A⫲)↙(↪⫪⫘⫖↰⪸1759)≌(⫖↰⪸1102∌⫖↰⪸3465))≥⨤⩑((⫖↰⪸1957⪨≂⫖↰⪸B19)⩵∡⫖↰⪸3023⫣⪄⊒⫖↰⪸147B)⪭≯(⫖↰⪸1138⊨⫖↰⪸850)⨥⫆(⫖↰⪸702⇮⋭⫖↰⪸1BBB)=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((⫖↰⪸1371⩘⫖↰⪸80A⫲)↙(↪⫪⫘⫖↰⪸1759)≌(⫖↰⪸1102∌⫖↰⪸3465))≥⨤⩑((⫖↰⪸1957⪨≂⫖↰⪸B19)⩵∡⫖↰⪸3023⫣⪄⊒⫖↰⪸147B)⪭≯(⫖↰⪸1138⊨⫖↰⪸850)⨥⫆(⫖↰⪸702⇮⋭⫖↰⪸1BBB)","cot":[{"info":"⫖↰⪸1371⩘⫖↰⪸80A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⫲=⫖↰⪸-95","layer":2},{"info":"↪⫪⫘⫖↰⪸1759=⫖↰⪸18","layer":3},{"info":"⫖↰⪸1102∌⫖↰⪸3465=⫖↰⪸-3465","layer":3},{"info":"⫖↰⪸18≌⫖↰⪸-3465=NaN","layer":2},{"info":"⫖↰⪸-95↙NaN=⫖↰⪸-95","layer":1},{"info":"⫖↰⪸1957⪨≂⫖↰⪸B19=⫖↰⪸1942","layer":3},{"info":"⫖↰⪸3023⫣⪄⊒⫖↰⪸147B=⫖↰⪸-2718","layer":3},{"info":"⫖↰⪸1942⩵∡⫖↰⪸-2718=⫖↰⪸-6281","layer":2},{"info":"⫖↰⪸1138⊨⫖↰⪸850=⫖↰⪸5047","layer":3},{"info":"⫖↰⪸702⇮⋭⫖↰⪸1BBB=⫖↰⪸-335","layer":3},{"info":"⫖↰⪸5047⨥⫆⫖↰⪸-335=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-6281⪭≯⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸-95≥⨤⩑NaN=⫖↰⪸86A","layer":0}]}
{"id":610,"expression_no_base_symbol":"(($1915$↬$3005$⫌⩉⩟$1316$⋾⨃∁$1195$)⇽⩪)⇍⊗($1311$⫠↝⫳)≴⪞⇿($1337$⨓$1557$)⩖⊿($3781$⊴$4114$%$4596$⨪↰⇹$7164$)","expression":"((⫖↰⪸1137↬⫖↰⪸18A5⫌⩉⩟⫖↰⪸918⋾⨃∁⫖↰⪸837)⇽⩪)⇍⊗(⫖↰⪸913⫠↝⫳)≴⪞⇿(⫖↰⪸935⨓⫖↰⪸A99)⩖⊿(⫖↰⪸2231⊴⫖↰⪸246A%⫖↰⪸27B0⨪↰⇹⫖↰⪸4190)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28585217,"operation_count":12,"complexity_ratio":2382101.4166666665,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1915,"base":12},"right_expr":{"type":"numeric_atoms","value":3005,"base":12}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1316,"base":12},"right_expr":{"type":"numeric_atoms","value":1195,"base":12}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1311,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1337,"base":12},"right_expr":{"type":"numeric_atoms","value":1557,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3781,"base":12},"right_expr":{"type":"numeric_atoms","value":4114,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4596,"base":12},"right_expr":{"type":"numeric_atoms","value":7164,"base":12}}}}},"used_operators":["5uvYHDjeKN","FonBHBYJbU","XIIwhv8d0m","B5M0gjZbta","212REbPD9h","RZ5CV9rWsJ","lvlrscuwVU","8n5YIzOsVS","3ViojmjbAp","k8jYdgA6NY","Nsiff2A1zJ","tmPS8pqC7x"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rGHVDoGpnC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1915","layer":4},{"info":"number node, value=3005","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=3005, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=1195, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=14265816","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14265816, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-410","layer":1},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=42575","layer":3},{"info":"number node, value=1337","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=1557, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1560","layer":3},{"info":"compute binary expreesion, left_input=42575, right_input=-1560, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"number node, value=3781","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=4114, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4596","layer":4},{"info":"number node, value=7164","layer":4},{"info":"compute binary expreesion, left_input=4596, right_input=7164, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4596","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4596, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-410, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1137↬⫖↰⪸18A5⫌⩉⩟⫖↰⪸918⋾⨃∁⫖↰⪸837)⇽⩪)⇍⊗(⫖↰⪸913⫠↝⫳)≴⪞⇿(⫖↰⪸935⨓⫖↰⪸A99)⩖⊿(⫖↰⪸2231⊴⫖↰⪸246A%⫖↰⪸27B0⨪↰⇹⫖↰⪸4190)=NaN","reverse_text":"NaN=((⫖↰⪸1137↬⫖↰⪸18A5⫌⩉⩟⫖↰⪸918⋾⨃∁⫖↰⪸837)⇽⩪)⇍⊗(⫖↰⪸913⫠↝⫳)≴⪞⇿(⫖↰⪸935⨓⫖↰⪸A99)⩖⊿(⫖↰⪸2231⊴⫖↰⪸246A%⫖↰⪸27B0⨪↰⇹⫖↰⪸4190)","cot":[{"info":"⫖↰⪸1137↬⫖↰⪸18A5=NaN","layer":3},{"info":"⫖↰⪸918⋾⨃∁⫖↰⪸837=⫖↰⪸493B820","layer":3},{"info":"NaN⫌⩉⩟⫖↰⪸493B820=⫖↰⪸-42","layer":2},{"info":"⫖↰⪸-42⇽⩪=⫖↰⪸-2A2","layer":1},{"info":"⫖↰⪸913⫠↝⫳=⫖↰⪸2077B","layer":3},{"info":"⫖↰⪸935⨓⫖↰⪸A99=⫖↰⪸-AA0","layer":3},{"info":"⫖↰⪸2077B≴⪞⇿⫖↰⪸-AA0=Inf","layer":2},{"info":"⫖↰⪸2231⊴⫖↰⪸246A=NaN","layer":3},{"info":"⫖↰⪸27B0⨪↰⇹⫖↰⪸4190=⫖↰⪸27B0","layer":3},{"info":"NaN%⫖↰⪸27B0=NaN","layer":2},{"info":"Inf⩖⊿NaN=NaN","layer":1},{"info":"⫖↰⪸-2A2⇍⊗NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"($2395$⇷$2429$)⩌⋺($4579$≬⇓$1286$)⪥($2958$∘$8274$≎⊠⪸(⪲⇎$6910$))↼⊘⨖(($6285$⫚↹⊑$1332$)⋅⇍(⨡↴$1373$))⩼⇪↪($1288$↞⋁$7579$⫲≸⪮($1149$≬⇓$1385$))","expression":"(⫖↰⪸1477⇷⫖↰⪸14A5)⩌⋺(⫖↰⪸2797≬⇓⫖↰⪸8B2)⪥(⫖↰⪸1866∘⫖↰⪸4956≎⊠⪸(⪲⇎⫖↰⪸3BBA))↼⊘⨖((⫖↰⪸3779⫚↹⊑⫖↰⪸930)⋅⇍(⨡↴⫖↰⪸965))⩼⇪↪(⫖↰⪸8B4↞⋁⫖↰⪸4477⫲≸⪮(⫖↰⪸7B9≬⇓⫖↰⪸975))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":34061,"operation_count":15,"complexity_ratio":2270.733333333333,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2395,"base":12},"right_expr":{"type":"numeric_atoms","value":2429,"base":12}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4579,"base":12},"right_expr":{"type":"numeric_atoms","value":1286,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2958,"base":12},"right_expr":{"type":"numeric_atoms","value":8274,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6910,"base":12}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6285,"base":12},"right_expr":{"type":"numeric_atoms","value":1332,"base":12}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1373,"base":12}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1288,"base":12},"right_expr":{"type":"numeric_atoms","value":7579,"base":12}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1149,"base":12},"right_expr":{"type":"numeric_atoms","value":1385,"base":12}}}}},"used_operators":["bPywburJMS","QbnwKVWMIQ","g7Hmc5v1ko","mp7IySMOzn","jWTQ2TZYIH","bJkvcejdHO","Z5m6OM72h2","XPYlsWDdGa","ocnLzx9CaJ","AdZkA7nFnk","dfKe02y8D2","liw5iZPkLH","P3lXMJvFrc","RqrPlJkxDo"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","P8v4zCKN1o","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2395","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=2429, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4858","layer":3},{"info":"number node, value=4579","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=4579, right_input=1286, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=4858, right_input=-22, 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=-4957","layer":2},{"info":"number node, value=2958","layer":4},{"info":"number node, value=8274","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=8274, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5916","layer":3},{"info":"number node, value=6910","layer":4},{"info":"compute unary expreesion, input=6910, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13820","layer":3},{"info":"compute binary expreesion, left_input=5916, right_input=13820, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1531771","layer":2},{"info":"compute binary expreesion, left_input=-4957, right_input=1531771, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-32812","layer":1},{"info":"number node, value=6285","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=6285, right_input=1332, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2422","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2422, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1288","layer":4},{"info":"number node, value=7579","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=7579, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1149","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1385, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-32812, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1477⇷⫖↰⪸14A5)⩌⋺(⫖↰⪸2797≬⇓⫖↰⪸8B2)⪥(⫖↰⪸1866∘⫖↰⪸4956≎⊠⪸(⪲⇎⫖↰⪸3BBA))↼⊘⨖((⫖↰⪸3779⫚↹⊑⫖↰⪸930)⋅⇍(⨡↴⫖↰⪸965))⩼⇪↪(⫖↰⪸8B4↞⋁⫖↰⪸4477⫲≸⪮(⫖↰⪸7B9≬⇓⫖↰⪸975))=NaN","reverse_text":"NaN=(⫖↰⪸1477⇷⫖↰⪸14A5)⩌⋺(⫖↰⪸2797≬⇓⫖↰⪸8B2)⪥(⫖↰⪸1866∘⫖↰⪸4956≎⊠⪸(⪲⇎⫖↰⪸3BBA))↼⊘⨖((⫖↰⪸3779⫚↹⊑⫖↰⪸930)⋅⇍(⨡↴⫖↰⪸965))⩼⇪↪(⫖↰⪸8B4↞⋁⫖↰⪸4477⫲≸⪮(⫖↰⪸7B9≬⇓⫖↰⪸975))","cot":[{"info":"⫖↰⪸1477⇷⫖↰⪸14A5=⫖↰⪸298A","layer":3},{"info":"⫖↰⪸2797≬⇓⫖↰⪸8B2=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸298A⩌⋺⫖↰⪸-1A=⫖↰⪸-2A51","layer":2},{"info":"⫖↰⪸1866∘⫖↰⪸4956=⫖↰⪸3510","layer":3},{"info":"⪲⇎⫖↰⪸3BBA=⫖↰⪸7BB8","layer":3},{"info":"⫖↰⪸3510≎⊠⪸⫖↰⪸7BB8=⫖↰⪸61A537","layer":2},{"info":"⫖↰⪸-2A51⪥⫖↰⪸61A537=⫖↰⪸-16BA4","layer":1},{"info":"⫖↰⪸3779⫚↹⊑⫖↰⪸930=⫖↰⪸-313","layer":3},{"info":"⨡↴⫖↰⪸965=⫖↰⪸149A","layer":3},{"info":"⫖↰⪸-313⋅⇍⫖↰⪸149A=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸8B4↞⋁⫖↰⪸4477=NaN","layer":3},{"info":"⫖↰⪸7B9≬⇓⫖↰⪸975=⫖↰⪸-1A","layer":3},{"info":"NaN⫲≸⪮⫖↰⪸-1A=NaN","layer":2},{"info":"⫖↰⪸-1A⩼⇪↪NaN=NaN","layer":1},{"info":"⫖↰⪸-16BA4↼⊘⨖NaN=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"((⪁⇼$1063$)⨔≚≋$1004$⫘$2332$)∊∟⩊(($3992$⩏)⨫⇇↔($1015$⫻⋑⊟))⨵⪆($1393$⩒⫫$4956$∙∹∝($1469$⩹$1628$))⨥⫆(($7020$⫔⩽⩺$4905$)∛($2161$⇯⋐))","expression":"((⪁⇼⫖↰⪸747)⨔≚≋⫖↰⪸6B8⫘⫖↰⪸1424)∊∟⩊((⫖↰⪸2388⩏)⨫⇇↔(⫖↰⪸707⫻⋑⊟))⨵⪆(⫖↰⪸981⩒⫫⫖↰⪸2A50∙∹∝(⫖↰⪸A25⩹⫖↰⪸B38))⨥⫆((⫖↰⪸4090⫔⩽⩺⫖↰⪸2A09)∛(⫖↰⪸1301⇯⋐))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2261,"operation_count":15,"complexity_ratio":150.73333333333332,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1063,"base":12}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":2332,"base":12}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":3992,"base":12}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1015,"base":12}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1393,"base":12},"right_expr":{"type":"numeric_atoms","value":4956,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1469,"base":12},"right_expr":{"type":"numeric_atoms","value":1628,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7020,"base":12},"right_expr":{"type":"numeric_atoms","value":4905,"base":12}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2161,"base":12}}}}},"used_operators":["2DQ55sFlQl","ddLRYrp01A","Z57zeUYC9z","ZNVVrZ94lY","48vC8HMD2b","LXhwmt4mBO","iA2gmKZ3Wj","o575Zjdmzy","yXekIHxTD4","HmxsFra2vL","KFSx94NKJn","2Wsdkap16l","w2537kitQq","i9eR4S00cU","LkLIoiE525"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","z6LnFrNh4i","Tcnh7f0tEr","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"compute unary expreesion, input=1063, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2332, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1185109","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=1185109, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=3992","layer":4},{"info":"compute unary expreesion, input=3992, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-1520","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1520, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=-527, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=29","layer":1},{"info":"number node, value=1393","layer":4},{"info":"number node, value=4956","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=4956, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1091","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=1628, 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=1626","layer":3},{"info":"compute binary expreesion, left_input=1091, right_input=1626, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=7020","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=7020, right_input=4905, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2161","layer":4},{"info":"compute unary expreesion, input=2161, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=7361","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7361, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=29, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⪁⇼⫖↰⪸747)⨔≚≋⫖↰⪸6B8⫘⫖↰⪸1424)∊∟⩊((⫖↰⪸2388⩏)⨫⇇↔(⫖↰⪸707⫻⋑⊟))⨵⪆(⫖↰⪸981⩒⫫⫖↰⪸2A50∙∹∝(⫖↰⪸A25⩹⫖↰⪸B38))⨥⫆((⫖↰⪸4090⫔⩽⩺⫖↰⪸2A09)∛(⫖↰⪸1301⇯⋐))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⪁⇼⫖↰⪸747)⨔≚≋⫖↰⪸6B8⫘⫖↰⪸1424)∊∟⩊((⫖↰⪸2388⩏)⨫⇇↔(⫖↰⪸707⫻⋑⊟))⨵⪆(⫖↰⪸981⩒⫫⫖↰⪸2A50∙∹∝(⫖↰⪸A25⩹⫖↰⪸B38))⨥⫆((⫖↰⪸4090⫔⩽⩺⫖↰⪸2A09)∛(⫖↰⪸1301⇯⋐))","cot":[{"info":"⪁⇼⫖↰⪸747=⫖↰⪸2B2","layer":3},{"info":"⫖↰⪸6B8⫘⫖↰⪸1424=⫖↰⪸4919B1","layer":3},{"info":"⫖↰⪸2B2⨔≚≋⫖↰⪸4919B1=⫖↰⪸5868","layer":2},{"info":"⫖↰⪸2388⩏=⫖↰⪸0","layer":3},{"info":"⫖↰⪸707⫻⋑⊟=⫖↰⪸-A68","layer":3},{"info":"⫖↰⪸0⨫⇇↔⫖↰⪸-A68=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸5868∊∟⩊⫖↰⪸-37B=⫖↰⪸25","layer":1},{"info":"⫖↰⪸981⩒⫫⫖↰⪸2A50=⫖↰⪸76B","layer":3},{"info":"⫖↰⪸A25⩹⫖↰⪸B38=⫖↰⪸B36","layer":3},{"info":"⫖↰⪸76B∙∹∝⫖↰⪸B36=⫖↰⪸0","layer":2},{"info":"⫖↰⪸4090⫔⩽⩺⫖↰⪸2A09=NaN","layer":3},{"info":"⫖↰⪸1301⇯⋐=⫖↰⪸4315","layer":3},{"info":"NaN∛⫖↰⪸4315=NaN","layer":2},{"info":"⫖↰⪸0⨥⫆NaN=NaN","layer":1},{"info":"⫖↰⪸25⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":613,"expression_no_base_symbol":"≇⪴(⨩∲⋌($1084$⩺⪪$1738$))⇡⇂((≀↧⇸$7001$)⫃⨇$4070$⨓$1527$)","expression":"≇⪴(⨩∲⋌(⫖↰⪸764⩺⪪⫖↰⪸100A))⇡⇂((≀↧⇸⫖↰⪸4075)⫃⨇⫖↰⪸2432⨓⫖↰⪸A73)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37903,"operation_count":7,"complexity_ratio":5414.714285714285,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1084,"base":12},"right_expr":{"type":"numeric_atoms","value":1738,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":7001,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4070,"base":12},"right_expr":{"type":"numeric_atoms","value":1527,"base":12}}}}},"used_operators":["zoVPnxeHJ3","UMwdvZNt44","aSik1wnThz","uvdQJvN4PV","09Ly4LVMIf","ljTHtUsqzn","3ViojmjbAp"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","XPYlsWDdGa","23Mk6UjR3U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1738, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1581","layer":2},{"info":"number node, value=7001","layer":4},{"info":"compute unary expreesion, input=7001, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=14002","layer":3},{"info":"number node, value=4070","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=4070, right_input=1527, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1530","layer":3},{"info":"compute binary expreesion, left_input=14002, right_input=-1530, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=6088","layer":2},{"info":"compute binary expreesion, left_input=-1581, right_input=6088, 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 unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≇⪴(⨩∲⋌(⫖↰⪸764⩺⪪⫖↰⪸100A))⇡⇂((≀↧⇸⫖↰⪸4075)⫃⨇⫖↰⪸2432⨓⫖↰⪸A73)=NaN","reverse_text":"NaN=≇⪴(⨩∲⋌(⫖↰⪸764⩺⪪⫖↰⪸100A))⇡⇂((≀↧⇸⫖↰⪸4075)⫃⨇⫖↰⪸2432⨓⫖↰⪸A73)","cot":[{"info":"⫖↰⪸764⩺⪪⫖↰⪸100A=⫖↰⪸-1076","layer":3},{"info":"⨩∲⋌⫖↰⪸-1076=⫖↰⪸-AB9","layer":2},{"info":"≀↧⇸⫖↰⪸4075=⫖↰⪸812A","layer":3},{"info":"⫖↰⪸2432⨓⫖↰⪸A73=⫖↰⪸-A76","layer":3},{"info":"⫖↰⪸812A⫃⨇⫖↰⪸-A76=⫖↰⪸3634","layer":2},{"info":"⫖↰⪸-AB9⇡⇂⫖↰⪸3634=NaN","layer":1},{"info":"≇⪴NaN=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"((($2483$⋷$3034$)⪠⩆⊳)≀⩗∶($4302$⪨≂$1601$)⊢$2334$⋕⪉⪜$1484$)⫰⋱(∟⋨($1748$⨭⪣$2775$↸($1538$⩹$4120$)))","expression":"(((⫖↰⪸152B⋷⫖↰⪸190A)⪠⩆⊳)≀⩗∶(⫖↰⪸25A6⪨≂⫖↰⪸B15)⊢⫖↰⪸1426⋕⪉⪜⫖↰⪸A38)⫰⋱(∟⋨(⫖↰⪸1018⨭⪣⫖↰⪸1733↸(⫖↰⪸A82⩹⫖↰⪸2474)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1075,"operation_count":11,"complexity_ratio":97.72727272727273,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2483,"base":12},"right_expr":{"type":"numeric_atoms","value":3034,"base":12}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4302,"base":12},"right_expr":{"type":"numeric_atoms","value":1601,"base":12}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2334,"base":12},"right_expr":{"type":"numeric_atoms","value":1484,"base":12}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1748,"base":12},"right_expr":{"type":"numeric_atoms","value":2775,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1538,"base":12},"right_expr":{"type":"numeric_atoms","value":4120,"base":12}}}}},"used_operators":["6o9Blt3TJ6","8INZBEW696","JLbD19bQDL","23Mk6UjR3U","5twsqlHp2o","sdazOOVcIp","z6LnFrNh4i","ctOc4cKSDt","1eCjFl0mb9","kn8WO9XteQ","2Wsdkap16l"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","tmPS8pqC7x","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2483","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=3034, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3585","layer":3},{"info":"compute unary expreesion, input=3585, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=4302","layer":4},{"info":"number node, value=1601","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=1601, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5504","layer":3},{"info":"number node, value=2334","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=1484, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=5504, right_input=2802, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-11252","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-11252, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"number node, value=1748","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=2775, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=469","layer":3},{"info":"number node, value=1538","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=4120, 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=4118","layer":3},{"info":"compute binary expreesion, left_input=469, right_input=4118, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=469","layer":2},{"info":"compute unary expreesion, input=469, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=15","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸152B⋷⫖↰⪸190A)⪠⩆⊳)≀⩗∶(⫖↰⪸25A6⪨≂⫖↰⪸B15)⊢⫖↰⪸1426⋕⪉⪜⫖↰⪸A38)⫰⋱(∟⋨(⫖↰⪸1018⨭⪣⫖↰⪸1733↸(⫖↰⪸A82⩹⫖↰⪸2474)))=NaN","reverse_text":"NaN=(((⫖↰⪸152B⋷⫖↰⪸190A)⪠⩆⊳)≀⩗∶(⫖↰⪸25A6⪨≂⫖↰⪸B15)⊢⫖↰⪸1426⋕⪉⪜⫖↰⪸A38)⫰⋱(∟⋨(⫖↰⪸1018⨭⪣⫖↰⪸1733↸(⫖↰⪸A82⩹⫖↰⪸2474)))","cot":[{"info":"⫖↰⪸152B⋷⫖↰⪸190A=⫖↰⪸20A9","layer":3},{"info":"⫖↰⪸20A9⪠⩆⊳=⫖↰⪸0","layer":2},{"info":"⫖↰⪸25A6⪨≂⫖↰⪸B15=⫖↰⪸3228","layer":3},{"info":"⫖↰⪸1426⋕⪉⪜⫖↰⪸A38=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸3228⊢⫖↰⪸1756=⫖↰⪸-6618","layer":2},{"info":"⫖↰⪸0≀⩗∶⫖↰⪸-6618=NaN","layer":1},{"info":"⫖↰⪸1018⨭⪣⫖↰⪸1733=⫖↰⪸331","layer":3},{"info":"⫖↰⪸A82⩹⫖↰⪸2474=⫖↰⪸2472","layer":3},{"info":"⫖↰⪸331↸⫖↰⪸2472=⫖↰⪸331","layer":2},{"info":"∟⋨⫖↰⪸331=⫖↰⪸13","layer":1},{"info":"NaN⫰⋱⫖↰⪸13=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"((↔($4968$⋻⩜⩜$1126$))⊔(≀↧⇸($1646$⇽⩪)))∋(($2770$⫘$1291$⋭≵(⊙↵-$2731$))∠↢($4694$⨟⋌⩍$1314$∖$3901$⋅⇍$2498$))","expression":"((↔(⫖↰⪸2A60⋻⩜⩜⫖↰⪸79A))⊔(≀↧⇸(⫖↰⪸B52⇽⩪)))∋((⫖↰⪸172A⫘⫖↰⪸8B7⋭≵(⊙↵-⫖↰⪸16B7))∠↢(⫖↰⪸2872⨟⋌⩍⫖↰⪸916∖⫖↰⪸2311⋅⇍⫖↰⪸1542))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21948,"operation_count":13,"complexity_ratio":1688.3076923076924,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4968,"base":12},"right_expr":{"type":"numeric_atoms","value":1126,"base":12}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1646,"base":12}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2770,"base":12},"right_expr":{"type":"numeric_atoms","value":1291,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2731,"base":12}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4694,"base":12},"right_expr":{"type":"numeric_atoms","value":1314,"base":12}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3901,"base":12},"right_expr":{"type":"numeric_atoms","value":2498,"base":12}}}}},"used_operators":["ukq6epAj5P","E4l6HwMY31","ruOEQAzv1W","oDCm7WA9JY","ljTHtUsqzn","FonBHBYJbU","KbjG8mgYpV","jBncVCNhdl","48vC8HMD2b","oWn0xqSxBt","tXD093vOjl","rGHVDoGpnC","AdZkA7nFnk"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Tcnh7f0tEr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⫖↰⪸1709380","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4968","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=1126, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9936","layer":3},{"info":"compute unary expreesion, input=9936, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-9663","layer":2},{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3814","layer":3},{"info":"compute unary expreesion, input=3814, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=7628","layer":2},{"info":"compute binary expreesion, left_input=-9663, right_input=7628, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=59826","layer":1},{"info":"number node, value=2770","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2770, right_input=1291, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3261925","layer":3},{"info":"number node, value=2731","layer":4},{"info":"compute unary expreesion, input=2731, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=3261925, right_input=-1, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=4694","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=4694, right_input=1314, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3901","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=2498, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=814","layer":1},{"info":"compute binary expreesion, left_input=59826, right_input=814, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4743888","layer":0}],"base":12,"result_base":12,"text":"((↔(⫖↰⪸2A60⋻⩜⩜⫖↰⪸79A))⊔(≀↧⇸(⫖↰⪸B52⇽⩪)))∋((⫖↰⪸172A⫘⫖↰⪸8B7⋭≵(⊙↵-⫖↰⪸16B7))∠↢(⫖↰⪸2872⨟⋌⩍⫖↰⪸916∖⫖↰⪸2311⋅⇍⫖↰⪸1542))=⫖↰⪸1709380","reverse_text":"⫖↰⪸1709380=((↔(⫖↰⪸2A60⋻⩜⩜⫖↰⪸79A))⊔(≀↧⇸(⫖↰⪸B52⇽⩪)))∋((⫖↰⪸172A⫘⫖↰⪸8B7⋭≵(⊙↵-⫖↰⪸16B7))∠↢(⫖↰⪸2872⨟⋌⩍⫖↰⪸916∖⫖↰⪸2311⋅⇍⫖↰⪸1542))","cot":[{"info":"⫖↰⪸2A60⋻⩜⩜⫖↰⪸79A=⫖↰⪸5900","layer":3},{"info":"↔⫖↰⪸5900=⫖↰⪸-5713","layer":2},{"info":"⫖↰⪸B52⇽⩪=⫖↰⪸225A","layer":3},{"info":"≀↧⇸⫖↰⪸225A=⫖↰⪸44B8","layer":2},{"info":"⫖↰⪸-5713⊔⫖↰⪸44B8=⫖↰⪸2A756","layer":1},{"info":"⫖↰⪸172A⫘⫖↰⪸8B7=⫖↰⪸1113831","layer":3},{"info":"⊙↵-⫖↰⪸16B7=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1113831⋭≵⫖↰⪸-1=⫖↰⪸57","layer":2},{"info":"⫖↰⪸2872⨟⋌⩍⫖↰⪸916=NaN","layer":3},{"info":"⫖↰⪸2311⋅⇍⫖↰⪸1542=⫖↰⪸-1A","layer":3},{"info":"NaN∖⫖↰⪸-1A=⫖↰⪸0","layer":2},{"info":"⫖↰⪸57∠↢⫖↰⪸0=⫖↰⪸57A","layer":1},{"info":"⫖↰⪸2A756∋⫖↰⪸57A=⫖↰⪸1709380","layer":0}]}
{"id":616,"expression_no_base_symbol":"(∂⩏⊆((↸⊣$1242$)∖$1899$⪬$5721$))⨵⪆(⊁⨺($1021$⫣⪄⊒$1197$⫲≸⪮$3404$∛$3684$))","expression":"(∂⩏⊆((↸⊣⫖↰⪸876)∖⫖↰⪸1123⪬⫖↰⪸3389))⨵⪆(⊁⨺(⫖↰⪸711⫣⪄⊒⫖↰⪸839⫲≸⪮⫖↰⪸1B78∛⫖↰⪸2170))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6664,"operation_count":9,"complexity_ratio":740.4444444444445,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1242,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1899,"base":12},"right_expr":{"type":"numeric_atoms","value":5721,"base":12}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1021,"base":12},"right_expr":{"type":"numeric_atoms","value":1197,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3404,"base":12},"right_expr":{"type":"numeric_atoms","value":3684,"base":12}}}}},"used_operators":["2DQ55sFlQl","8WDwsbhb0R","tXD093vOjl","wztAlM01eG","Ez1Nq5fNfI","PxiHyQbrIp","P3lXMJvFrc","RabNbG55vr","w2537kitQq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-955","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=5721","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=5721, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-955, 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":2},{"info":"compute unary expreesion, input=0, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=484","layer":1},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1197, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5652","layer":3},{"info":"number node, value=3404","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=3684, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-5652, right_input=-670, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-5652","layer":2},{"info":"compute unary expreesion, input=-5652, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-38781","layer":1},{"info":"compute binary expreesion, left_input=484, right_input=-38781, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(∂⩏⊆((↸⊣⫖↰⪸876)∖⫖↰⪸1123⪬⫖↰⪸3389))⨵⪆(⊁⨺(⫖↰⪸711⫣⪄⊒⫖↰⪸839⫲≸⪮⫖↰⪸1B78∛⫖↰⪸2170))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(∂⩏⊆((↸⊣⫖↰⪸876)∖⫖↰⪸1123⪬⫖↰⪸3389))⨵⪆(⊁⨺(⫖↰⪸711⫣⪄⊒⫖↰⪸839⫲≸⪮⫖↰⪸1B78∛⫖↰⪸2170))","cot":[{"info":"↸⊣⫖↰⪸876=⫖↰⪸-677","layer":3},{"info":"⫖↰⪸1123⪬⫖↰⪸3389=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-677∖⫖↰⪸86A=⫖↰⪸0","layer":2},{"info":"∂⩏⊆⫖↰⪸0=⫖↰⪸344","layer":1},{"info":"⫖↰⪸711⫣⪄⊒⫖↰⪸839=⫖↰⪸-3330","layer":3},{"info":"⫖↰⪸1B78∛⫖↰⪸2170=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸-3330⫲≸⪮⫖↰⪸-47A=⫖↰⪸-3330","layer":2},{"info":"⊁⨺⫖↰⪸-3330=⫖↰⪸-1A539","layer":1},{"info":"⫖↰⪸344⨵⪆⫖↰⪸-1A539=⫖↰⪸114","layer":0}]}
{"id":617,"expression_no_base_symbol":"⋂((↥≼⋛$4133$)∊∟⩊$3757$∴$2682$⊝⪿⪼(($7717$⪥$1780$)⊍))","expression":"⋂((↥≼⋛⫖↰⪸2485)∊∟⩊⫖↰⪸2211∴⫖↰⪸1676⊝⪿⪼((⫖↰⪸4571⪥⫖↰⪸1044)⊍))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":94,"operation_count":7,"complexity_ratio":13.428571428571429,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":4133,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3757,"base":12},"right_expr":{"type":"numeric_atoms","value":2682,"base":12}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":7717,"base":12},"right_expr":{"type":"numeric_atoms","value":1780,"base":12}}}}},"used_operators":["BUOGQAYlQx","3Oe9XWJUTD","ddLRYrp01A","x5lMkHmzsq","hrf7POJlIJ","3nqY3DE9mg","QbnwKVWMIQ"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⫖↰⪸-835688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4133","layer":4},{"info":"compute unary expreesion, input=4133, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=3757","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=3757, right_input=2682, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9162","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=9162, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=9162","layer":2},{"info":"number node, value=7717","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=7717, right_input=1780, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=35520","layer":3},{"info":"compute unary expreesion, input=35520, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=104880","layer":2},{"info":"compute binary expreesion, left_input=9162, right_input=104880, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=147362","layer":1},{"info":"compute unary expreesion, input=147362, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-2062472","layer":0}],"base":12,"result_base":12,"text":"⋂((↥≼⋛⫖↰⪸2485)∊∟⩊⫖↰⪸2211∴⫖↰⪸1676⊝⪿⪼((⫖↰⪸4571⪥⫖↰⪸1044)⊍))=⫖↰⪸-835688","reverse_text":"⫖↰⪸-835688=⋂((↥≼⋛⫖↰⪸2485)∊∟⩊⫖↰⪸2211∴⫖↰⪸1676⊝⪿⪼((⫖↰⪸4571⪥⫖↰⪸1044)⊍))","cot":[{"info":"↥≼⋛⫖↰⪸2485=⫖↰⪸-95","layer":3},{"info":"⫖↰⪸2211∴⫖↰⪸1676=⫖↰⪸5376","layer":3},{"info":"⫖↰⪸-95∊∟⩊⫖↰⪸5376=⫖↰⪸5376","layer":2},{"info":"⫖↰⪸4571⪥⫖↰⪸1044=⫖↰⪸18680","layer":3},{"info":"⫖↰⪸18680⊍=⫖↰⪸50840","layer":2},{"info":"⫖↰⪸5376⊝⪿⪼⫖↰⪸50840=⫖↰⪸71342","layer":1},{"info":"⋂⫖↰⪸71342=⫖↰⪸-835688","layer":0}]}
{"id":618,"expression_no_base_symbol":"⩒∊(⫡⇟⇯(⊀($6726$⫰⋱$8464$)))","expression":"⩒∊(⫡⇟⇯(⊀(⫖↰⪸3A86⫰⋱⫖↰⪸4A94)))","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":4,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6726,"base":12},"right_expr":{"type":"numeric_atoms","value":8464,"base":12}}}}},"used_operators":["qazvmhNBbN","qWUSsah53b","oPMjh9089D","6o9Blt3TJ6"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","P8v4zCKN1o","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⫖↰⪸176937","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6726","layer":4},{"info":"number node, value=8464","layer":4},{"info":"compute binary expreesion, left_input=6726, right_input=8464, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6693","layer":3},{"info":"compute unary expreesion, input=-6693, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=101178","layer":2},{"info":"compute unary expreesion, input=101178, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=203224","layer":1},{"info":"compute unary expreesion, input=203224, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=405691","layer":0}],"base":12,"result_base":12,"text":"⩒∊(⫡⇟⇯(⊀(⫖↰⪸3A86⫰⋱⫖↰⪸4A94)))=⫖↰⪸176937","reverse_text":"⫖↰⪸176937=⩒∊(⫡⇟⇯(⊀(⫖↰⪸3A86⫰⋱⫖↰⪸4A94)))","cot":[{"info":"⫖↰⪸3A86⫰⋱⫖↰⪸4A94=⫖↰⪸-3A59","layer":3},{"info":"⊀⫖↰⪸-3A59=⫖↰⪸4A676","layer":2},{"info":"⫡⇟⇯⫖↰⪸4A676=⫖↰⪸99734","layer":1},{"info":"⩒∊⫖↰⪸99734=⫖↰⪸176937","layer":0}]}
{"id":619,"expression_no_base_symbol":"(⫡⇟⇯($3992$⋾⨃∁$1166$)⇷($1592$⫥∨⫟$4813$))⩍⋽⫝̸(($1183$⊔$6622$)⪪($3515$⫰⋱$3801$)∌↝(⫇$1766$)⫗⊷⫓($1004$↱$2203$))","expression":"(⫡⇟⇯(⫖↰⪸2388⋾⨃∁⫖↰⪸812)⇷(⫖↰⪸B08⫥∨⫟⫖↰⪸2951))⩍⋽⫝̸((⫖↰⪸827⊔⫖↰⪸39BA)⪪(⫖↰⪸204B⫰⋱⫖↰⪸2249)∌↝(⫇⫖↰⪸1032)⫗⊷⫓(⫖↰⪸6B8↱⫖↰⪸1337))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":188376,"operation_count":12,"complexity_ratio":15698.0,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3992,"base":12},"right_expr":{"type":"numeric_atoms","value":1166,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1592,"base":12},"right_expr":{"type":"numeric_atoms","value":4813,"base":12}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1183,"base":12},"right_expr":{"type":"numeric_atoms","value":6622,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3515,"base":12},"right_expr":{"type":"numeric_atoms","value":3801,"base":12}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1766,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":2203,"base":12}}}}},"used_operators":["BiWNJpBvwn","qWUSsah53b","mp7IySMOzn","212REbPD9h","KYD54nUTWz","9Isq31Ruls","xD69zh8xqp","E4l6HwMY31","6o9Blt3TJ6","zashukvMKz","YjI8oCXuph","SR5kFfdi6N"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","DZ8iAZOCBD","P8v4zCKN1o","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⫖↰⪸-394","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3992","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=3992, right_input=1166, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=13581474","layer":3},{"info":"number node, value=1592","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=4813, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13581474, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":1},{"info":"number node, value=1183","layer":4},{"info":"number node, value=6622","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=6622, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=33076","layer":3},{"info":"number node, value=3515","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=3515, right_input=3801, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3482","layer":3},{"info":"compute binary expreesion, left_input=33076, right_input=-3482, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-4990565","layer":2},{"info":"number node, value=1766","layer":4},{"info":"compute unary expreesion, input=1766, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2318","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2203, 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=-6087","layer":3},{"info":"compute binary expreesion, left_input=-2318, right_input=-6087, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-4990565, right_input=-134, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=402","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=402, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-544","layer":0}],"base":12,"result_base":12,"text":"(⫡⇟⇯(⫖↰⪸2388⋾⨃∁⫖↰⪸812)⇷(⫖↰⪸B08⫥∨⫟⫖↰⪸2951))⩍⋽⫝̸((⫖↰⪸827⊔⫖↰⪸39BA)⪪(⫖↰⪸204B⫰⋱⫖↰⪸2249)∌↝(⫇⫖↰⪸1032)⫗⊷⫓(⫖↰⪸6B8↱⫖↰⪸1337))=⫖↰⪸-394","reverse_text":"⫖↰⪸-394=(⫡⇟⇯(⫖↰⪸2388⋾⨃∁⫖↰⪸812)⇷(⫖↰⪸B08⫥∨⫟⫖↰⪸2951))⩍⋽⫝̸((⫖↰⪸827⊔⫖↰⪸39BA)⪪(⫖↰⪸204B⫰⋱⫖↰⪸2249)∌↝(⫇⫖↰⪸1032)⫗⊷⫓(⫖↰⪸6B8↱⫖↰⪸1337))","cot":[{"info":"⫖↰⪸2388⋾⨃∁⫖↰⪸812=⫖↰⪸466B796","layer":3},{"info":"⫖↰⪸B08⫥∨⫟⫖↰⪸2951=NaN","layer":3},{"info":"⫖↰⪸466B796⇷NaN=NaN","layer":2},{"info":"⫡⇟⇯NaN=NaN","layer":1},{"info":"⫖↰⪸827⊔⫖↰⪸39BA=⫖↰⪸17184","layer":3},{"info":"⫖↰⪸204B⫰⋱⫖↰⪸2249=⫖↰⪸-2022","layer":3},{"info":"⫖↰⪸17184⪪⫖↰⪸-2022=⫖↰⪸-1808085","layer":2},{"info":"⫇⫖↰⪸1032=⫖↰⪸-1412","layer":3},{"info":"⫖↰⪸6B8↱⫖↰⪸1337=⫖↰⪸-3633","layer":3},{"info":"⫖↰⪸-1412⫗⊷⫓⫖↰⪸-3633=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸-1808085∌↝⫖↰⪸-B2=⫖↰⪸296","layer":1},{"info":"NaN⩍⋽⫝̸⫖↰⪸296=⫖↰⪸-394","layer":0}]}
{"id":620,"expression_no_base_symbol":"(($1002$⨽$1305$)↤⩊($2668$⫯⪬∳$1788$)≳⇉(⨝⨆$4729$⨎$1188$))⪘⫢(($1205$↸$1329$)⪥($3749$⫭)⊅)","expression":"((⫖↰⪸6B6⨽⫖↰⪸909)↤⩊(⫖↰⪸1664⫯⪬∳⫖↰⪸1050)≳⇉(⨝⨆⫖↰⪸28A1⨎⫖↰⪸830))⪘⫢((⫖↰⪸845↸⫖↰⪸929)⪥(⫖↰⪸2205⫭)⊅)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3784,"operation_count":11,"complexity_ratio":344.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":1305,"base":12}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2668,"base":12},"right_expr":{"type":"numeric_atoms","value":1788,"base":12}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4729,"base":12},"right_expr":{"type":"numeric_atoms","value":1188,"base":12}}}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1205,"base":12},"right_expr":{"type":"numeric_atoms","value":1329,"base":12}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":3749,"base":12}}}}},"used_operators":["oacrs7FA3X","V0kx6qeWkN","13rbtpv6ld","8HhzD0ZcuI","d7ASUq0ydm","bQ67fsrMVf","rJVOvQCfKK","7p6YLioM7f","QbnwKVWMIQ","1eCjFl0mb9","t4WUHVGj7f"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","tifHPKVTfV","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1305, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3014613","layer":3},{"info":"number node, value=2668","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=1788, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=11585","layer":3},{"info":"compute binary expreesion, left_input=-3014613, right_input=11585, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=4729","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=4729, right_input=1188, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1188","layer":3},{"info":"compute unary expreesion, input=1188, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=979, 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=1205","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1329, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1205","layer":3},{"info":"number node, value=3749","layer":4},{"info":"compute unary expreesion, input=3749, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=11488","layer":3},{"info":"compute binary expreesion, left_input=1205, right_input=11488, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9472","layer":2},{"info":"compute unary expreesion, input=9472, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸6B6⨽⫖↰⪸909)↤⩊(⫖↰⪸1664⫯⪬∳⫖↰⪸1050)≳⇉(⨝⨆⫖↰⪸28A1⨎⫖↰⪸830))⪘⫢((⫖↰⪸845↸⫖↰⪸929)⪥(⫖↰⪸2205⫭)⊅)=NaN","reverse_text":"NaN=((⫖↰⪸6B6⨽⫖↰⪸909)↤⩊(⫖↰⪸1664⫯⪬∳⫖↰⪸1050)≳⇉(⨝⨆⫖↰⪸28A1⨎⫖↰⪸830))⪘⫢((⫖↰⪸845↸⫖↰⪸929)⪥(⫖↰⪸2205⫭)⊅)","cot":[{"info":"⫖↰⪸6B6⨽⫖↰⪸909=⫖↰⪸-1014699","layer":3},{"info":"⫖↰⪸1664⫯⪬∳⫖↰⪸1050=⫖↰⪸6855","layer":3},{"info":"⫖↰⪸-1014699↤⩊⫖↰⪸6855=NaN","layer":2},{"info":"⫖↰⪸28A1⨎⫖↰⪸830=⫖↰⪸830","layer":3},{"info":"⨝⨆⫖↰⪸830=⫖↰⪸697","layer":2},{"info":"NaN≳⇉⫖↰⪸697=NaN","layer":1},{"info":"⫖↰⪸845↸⫖↰⪸929=⫖↰⪸845","layer":3},{"info":"⫖↰⪸2205⫭=⫖↰⪸6794","layer":3},{"info":"⫖↰⪸845⪥⫖↰⪸6794=⫖↰⪸5594","layer":2},{"info":"⫖↰⪸5594⊅=⫖↰⪸-126","layer":1},{"info":"NaN⪘⫢⫖↰⪸-126=NaN","layer":0}]}
{"id":621,"expression_no_base_symbol":"(($1032$↢$5298$)⨽∌($1160$≴⪞⇿$2064$)%(⊀($3648$⇉⇱⇎)))⊝","expression":"((⫖↰⪸720↢⫖↰⪸3096)⨽∌(⫖↰⪸808≴⪞⇿⫖↰⪸1240)%(⊀(⫖↰⪸2140⇉⇱⇎)))⊝","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1049,"operation_count":7,"complexity_ratio":149.85714285714286,"tree":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1032,"base":12},"right_expr":{"type":"numeric_atoms","value":5298,"base":12}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1160,"base":12},"right_expr":{"type":"numeric_atoms","value":2064,"base":12}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":3648,"base":12}}}}},"used_operators":["O6EZ0fifGK","k8jYdgA6NY","9samAPKr6k","WR6HLWljOP","lvlrscuwVU","oPMjh9089D","MRPaB8lBjK"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=5298, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=548","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=2064, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1573772","layer":3},{"info":"compute binary expreesion, left_input=548, right_input=1573772, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=3648","layer":4},{"info":"compute unary expreesion, input=3648, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3430","layer":3},{"info":"compute unary expreesion, input=-3430, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=52233","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=52233, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸720↢⫖↰⪸3096)⨽∌(⫖↰⪸808≴⪞⇿⫖↰⪸1240)%(⊀(⫖↰⪸2140⇉⇱⇎)))⊝=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸720↢⫖↰⪸3096)⨽∌(⫖↰⪸808≴⪞⇿⫖↰⪸1240)%(⊀(⫖↰⪸2140⇉⇱⇎)))⊝","cot":[{"info":"⫖↰⪸720↢⫖↰⪸3096=⫖↰⪸398","layer":3},{"info":"⫖↰⪸808≴⪞⇿⫖↰⪸1240=⫖↰⪸63A8B8","layer":3},{"info":"⫖↰⪸398⨽∌⫖↰⪸63A8B8=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2140⇉⇱⇎=⫖↰⪸-1B9A","layer":3},{"info":"⊀⫖↰⪸-1B9A=⫖↰⪸26289","layer":2},{"info":"⫖↰⪸0%⫖↰⪸26289=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊝=⫖↰⪸0","layer":0}]}
{"id":622,"expression_no_base_symbol":"($7041$⫘$1655$∙⊟$2319$⩒⫫$8465$)∇⊂⋱(∡$4166$⨂≜$3422$)+⪬∐(($1322$≥⨤⩑$1537$)⊋≦⊧$1140$⪥$1356$≭($2067$⪛⫼$1088$)⫗⊷⫓(⩒∊$5102$))","expression":"(⫖↰⪸40A9⫘⫖↰⪸B5B∙⊟⫖↰⪸1413⩒⫫⫖↰⪸4A95)∇⊂⋱(∡⫖↰⪸24B2⨂≜⫖↰⪸1B92)+⪬∐((⫖↰⪸922≥⨤⩑⫖↰⪸A81)⊋≦⊧⫖↰⪸7B0⪥⫖↰⪸950≭(⫖↰⪸1243⪛⫼⫖↰⪸768)⫗⊷⫓(⩒∊⫖↰⪸2B52))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12408,"operation_count":14,"complexity_ratio":886.2857142857143,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":7041,"base":12},"right_expr":{"type":"numeric_atoms","value":1655,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2319,"base":12},"right_expr":{"type":"numeric_atoms","value":8465,"base":12}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4166,"base":12},"right_expr":{"type":"numeric_atoms","value":3422,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1322,"base":12},"right_expr":{"type":"numeric_atoms","value":1537,"base":12}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1140,"base":12},"right_expr":{"type":"numeric_atoms","value":1356,"base":12}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2067,"base":12},"right_expr":{"type":"numeric_atoms","value":1088,"base":12}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":5102,"base":12}}}}},"used_operators":["2GS7woTJqF","nhYeJWJD5X","SxTAKzQCrw","48vC8HMD2b","KFSx94NKJn","pRsWfj4Fpp","k1SHOSEABc","rxpJgHHUmx","oRDoc9rAEX","gJLn6v0xnP","QbnwKVWMIQ","zashukvMKz","hyuBjUqXlG","qazvmhNBbN"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⫖↰⪸-16051B9B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7041","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=7041, right_input=1655, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8284621","layer":3},{"info":"number node, value=2319","layer":4},{"info":"number node, value=8465","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=8465, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2017","layer":3},{"info":"compute binary expreesion, left_input=8284621, right_input=2017, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=107709919","layer":2},{"info":"number node, value=4166","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=4166, right_input=3422, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=107709919, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=215419292","layer":1},{"info":"number node, value=1322","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1537, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1356, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9212","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=9212, 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=-10206","layer":2},{"info":"number node, value=2067","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1088, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=5102","layer":4},{"info":"compute unary expreesion, input=5102, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=9447","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=9447, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-10206, right_input=-134, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=215419292, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-646257876","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸40A9⫘⫖↰⪸B5B∙⊟⫖↰⪸1413⩒⫫⫖↰⪸4A95)∇⊂⋱(∡⫖↰⪸24B2⨂≜⫖↰⪸1B92)+⪬∐((⫖↰⪸922≥⨤⩑⫖↰⪸A81)⊋≦⊧⫖↰⪸7B0⪥⫖↰⪸950≭(⫖↰⪸1243⪛⫼⫖↰⪸768)⫗⊷⫓(⩒∊⫖↰⪸2B52))=⫖↰⪸-16051B9B0","reverse_text":"⫖↰⪸-16051B9B0=(⫖↰⪸40A9⫘⫖↰⪸B5B∙⊟⫖↰⪸1413⩒⫫⫖↰⪸4A95)∇⊂⋱(∡⫖↰⪸24B2⨂≜⫖↰⪸1B92)+⪬∐((⫖↰⪸922≥⨤⩑⫖↰⪸A81)⊋≦⊧⫖↰⪸7B0⪥⫖↰⪸950≭(⫖↰⪸1243⪛⫼⫖↰⪸768)⫗⊷⫓(⩒∊⫖↰⪸2B52))","cot":[{"info":"⫖↰⪸40A9⫘⫖↰⪸B5B=⫖↰⪸2936411","layer":3},{"info":"⫖↰⪸1413⩒⫫⫖↰⪸4A95=⫖↰⪸1201","layer":3},{"info":"⫖↰⪸2936411∙⊟⫖↰⪸1201=⫖↰⪸300A4167","layer":2},{"info":"⫖↰⪸24B2⨂≜⫖↰⪸1B92=NaN","layer":3},{"info":"∡NaN=NaN","layer":2},{"info":"⫖↰⪸300A4167∇⊂⋱NaN=⫖↰⪸60187B38","layer":1},{"info":"⫖↰⪸922≥⨤⩑⫖↰⪸A81=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸7B0⪥⫖↰⪸950=⫖↰⪸53B8","layer":3},{"info":"⫖↰⪸86A⊋≦⊧⫖↰⪸53B8=⫖↰⪸-5AA6","layer":2},{"info":"⫖↰⪸1243⪛⫼⫖↰⪸768=⫖↰⪸688","layer":3},{"info":"⩒∊⫖↰⪸2B52=⫖↰⪸5573","layer":3},{"info":"⫖↰⪸688⫗⊷⫓⫖↰⪸5573=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸-5AA6≭⫖↰⪸-B2=NaN","layer":1},{"info":"⫖↰⪸60187B38+⪬∐NaN=⫖↰⪸-16051B9B0","layer":0}]}
{"id":623,"expression_no_base_symbol":"⊊≼∋(($8673$⊬⨰$1103$⇯⋐)⪨⊡((↯⪼$2206$)⩵∡(⩪∧⨌$2373$)))","expression":"⊊≼∋((⫖↰⪸5029⊬⨰⫖↰⪸77B⇯⋐)⪨⊡((↯⪼⫖↰⪸133A)⩵∡(⩪∧⨌⫖↰⪸1459)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":92,"operation_count":7,"complexity_ratio":13.142857142857142,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":8673,"base":12},"right_expr":{"type":"numeric_atoms","value":1103,"base":12}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2206,"base":12}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2373,"base":12}}}}},"used_operators":["FWz7pXsQhA","kuIXHzHcAH","LkLIoiE525","s3Fd5m9Dh2","Y7wcNGrDQJ","8jW3W4yZS5","6iOiAJX1F8"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8673","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=8673, right_input=1103, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12029","layer":3},{"info":"compute unary expreesion, input=12029, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=36965","layer":2},{"info":"number node, value=2206","layer":4},{"info":"compute unary expreesion, input=2206, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2373","layer":4},{"info":"compute unary expreesion, input=2373, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=23730","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=23730, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=23672","layer":2},{"info":"compute binary expreesion, left_input=36965, right_input=23672, 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 = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊊≼∋((⫖↰⪸5029⊬⨰⫖↰⪸77B⇯⋐)⪨⊡((↯⪼⫖↰⪸133A)⩵∡(⩪∧⨌⫖↰⪸1459)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊊≼∋((⫖↰⪸5029⊬⨰⫖↰⪸77B⇯⋐)⪨⊡((↯⪼⫖↰⪸133A)⩵∡(⩪∧⨌⫖↰⪸1459)))","cot":[{"info":"⫖↰⪸5029⊬⨰⫖↰⪸77B=⫖↰⪸6B65","layer":3},{"info":"⫖↰⪸6B65⇯⋐=⫖↰⪸19485","layer":2},{"info":"↯⪼⫖↰⪸133A=⫖↰⪸-19","layer":3},{"info":"⩪∧⨌⫖↰⪸1459=⫖↰⪸11896","layer":3},{"info":"⫖↰⪸-19⩵∡⫖↰⪸11896=⫖↰⪸11848","layer":2},{"info":"⫖↰⪸19485⪨⊡⫖↰⪸11848=⫖↰⪸0","layer":1},{"info":"⊊≼∋⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":624,"expression_no_base_symbol":"∂(($1969$∽$3253$)⊝⪿⪼$6652$⫒⫫$1530$)⪬((∂$3340$)⫃⨇$1161$⇴∐$5881$)","expression":"∂((⫖↰⪸1181∽⫖↰⪸1A71)⊝⪿⪼⫖↰⪸3A24⫒⫫⫖↰⪸A76)⪬((∂⫖↰⪸1B24)⫃⨇⫖↰⪸809⇴∐⫖↰⪸34A1)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":644,"operation_count":8,"complexity_ratio":80.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1969,"base":12},"right_expr":{"type":"numeric_atoms","value":3253,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6652,"base":12},"right_expr":{"type":"numeric_atoms","value":1530,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3340,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1161,"base":12},"right_expr":{"type":"numeric_atoms","value":5881,"base":12}}}}},"used_operators":["Uaa54Peajs","Ez1Nq5fNfI","3Oe9XWJUTD","y4ImoPnbV5","6Ko8hGgeMq","09Ly4LVMIf","HnzytWxmAO"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=3253, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-19426","layer":3},{"info":"number node, value=6652","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=6652, right_input=1530, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-19426, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-281458","layer":2},{"info":"number node, value=3340","layer":4},{"info":"compute unary expreesion, input=3340, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1161","layer":4},{"info":"number node, value=5881","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=5881, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-281458, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∂((⫖↰⪸1181∽⫖↰⪸1A71)⊝⪿⪼⫖↰⪸3A24⫒⫫⫖↰⪸A76)⪬((∂⫖↰⪸1B24)⫃⨇⫖↰⪸809⇴∐⫖↰⪸34A1)=NaN","reverse_text":"NaN=∂((⫖↰⪸1181∽⫖↰⪸1A71)⊝⪿⪼⫖↰⪸3A24⫒⫫⫖↰⪸A76)⪬((∂⫖↰⪸1B24)⫃⨇⫖↰⪸809⇴∐⫖↰⪸34A1)","cot":[{"info":"⫖↰⪸1181∽⫖↰⪸1A71=⫖↰⪸-B2AA","layer":3},{"info":"⫖↰⪸3A24⫒⫫⫖↰⪸A76=NaN","layer":3},{"info":"⫖↰⪸-B2AA⊝⪿⪼NaN=⫖↰⪸-116A6A","layer":2},{"info":"∂⫖↰⪸1B24=NaN","layer":3},{"info":"⫖↰⪸809⇴∐⫖↰⪸34A1=NaN","layer":3},{"info":"NaN⫃⨇NaN=NaN","layer":2},{"info":"⫖↰⪸-116A6A⪬NaN=⫖↰⪸86A","layer":1},{"info":"∂⫖↰⪸86A=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"(⇜⊴(⇾⩊⇾$4086$)⨭⪣$1345$⫲≸⪮$3085$)⨭⪣(⫯(⊀$6464$≌$3195$))","expression":"(⇜⊴(⇾⩊⇾⫖↰⪸2446)⨭⪣⫖↰⪸941⫲≸⪮⫖↰⪸1951)⨭⪣(⫯(⊀⫖↰⪸38A8≌⫖↰⪸1A23))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4905,"operation_count":8,"complexity_ratio":613.125,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4086,"base":12}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1345,"base":12},"right_expr":{"type":"numeric_atoms","value":3085,"base":12}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":6464,"base":12},"right_expr":{"type":"numeric_atoms","value":3195,"base":12}}}}},"used_operators":["kn8WO9XteQ","XwDhCwWbUn","bx9Z9DAK5y","P3lXMJvFrc","H6BK1Evt7c","oPMjh9089D","lyWz822IDG"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4086","layer":4},{"info":"compute unary expreesion, input=4086, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-43260","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=3085, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1345","layer":3},{"info":"compute binary expreesion, left_input=-43260, right_input=1345, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=42465","layer":2},{"info":"compute unary expreesion, input=42465, 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=-10008026","layer":1},{"info":"number node, value=6464","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=6464, right_input=3195, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10008026, 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":12,"result_base":12,"text":"(⇜⊴(⇾⩊⇾⫖↰⪸2446)⨭⪣⫖↰⪸941⫲≸⪮⫖↰⪸1951)⨭⪣(⫯(⊀⫖↰⪸38A8≌⫖↰⪸1A23))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=(⇜⊴(⇾⩊⇾⫖↰⪸2446)⨭⪣⫖↰⪸941⫲≸⪮⫖↰⪸1951)⨭⪣(⫯(⊀⫖↰⪸38A8≌⫖↰⪸1A23))","cot":[{"info":"⇾⩊⇾⫖↰⪸2446=⫖↰⪸-21050","layer":3},{"info":"⫖↰⪸941⫲≸⪮⫖↰⪸1951=⫖↰⪸941","layer":3},{"info":"⫖↰⪸-21050⨭⪣⫖↰⪸941=⫖↰⪸206A9","layer":2},{"info":"⇜⊴⫖↰⪸206A9=⫖↰⪸-3427822","layer":1},{"info":"⫖↰⪸38A8≌⫖↰⪸1A23=NaN","layer":3},{"info":"⊀NaN=NaN","layer":2},{"info":"⫯NaN=NaN","layer":1},{"info":"⫖↰⪸-3427822⨭⪣NaN=⫖↰⪸-19","layer":0}]}
{"id":626,"expression_no_base_symbol":"(⊿(⩩$3064$)⩇∃⫛(≯$5661$))⪎↠((($1585$∠↢$5771$)⫭)⪭($2611$⋕⪉⪜$2713$↱$2567$⨎$1663$))","expression":"(⊿(⩩⫖↰⪸1934)⩇∃⫛(≯⫖↰⪸3339))⪎↠(((⫖↰⪸B01∠↢⫖↰⪸340B)⫭)⪭(⫖↰⪸1617⋕⪉⪜⫖↰⪸16A1↱⫖↰⪸159B⨎⫖↰⪸B67))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4148,"operation_count":11,"complexity_ratio":377.09090909090907,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":3064,"base":12}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":5661,"base":12}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1585,"base":12},"right_expr":{"type":"numeric_atoms","value":5771,"base":12}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2611,"base":12},"right_expr":{"type":"numeric_atoms","value":2713,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2567,"base":12},"right_expr":{"type":"numeric_atoms","value":1663,"base":12}}}}},"used_operators":["3tVxb0NHM4","DO4fhlbJSI","1aApVXNlOP","kMhfGuqI2H","keWfFq85dY","j9kHMeSvPp","t4WUHVGj7f","KbjG8mgYpV","SR5kFfdi6N","z6LnFrNh4i","rJVOvQCfKK"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","g55IO6H4Gj","JLbD19bQDL","COABgblf1C","xUOZtlo3hN","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3064","layer":4},{"info":"compute unary expreesion, input=3064, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=5661","layer":4},{"info":"compute unary expreesion, input=5661, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"number node, value=1585","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=5771, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-86052","layer":3},{"info":"compute unary expreesion, input=-86052, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-257915","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=2713, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=2567","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=1663, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1663","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=1663, 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=-4467","layer":2},{"info":"compute binary expreesion, left_input=-257915, right_input=-4467, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=257741","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=257741, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊿(⩩⫖↰⪸1934)⩇∃⫛(≯⫖↰⪸3339))⪎↠(((⫖↰⪸B01∠↢⫖↰⪸340B)⫭)⪭(⫖↰⪸1617⋕⪉⪜⫖↰⪸16A1↱⫖↰⪸159B⨎⫖↰⪸B67))=NaN","reverse_text":"NaN=(⊿(⩩⫖↰⪸1934)⩇∃⫛(≯⫖↰⪸3339))⪎↠(((⫖↰⪸B01∠↢⫖↰⪸340B)⫭)⪭(⫖↰⪸1617⋕⪉⪜⫖↰⪸16A1↱⫖↰⪸159B⨎⫖↰⪸B67))","cot":[{"info":"⩩⫖↰⪸1934=NaN","layer":3},{"info":"≯⫖↰⪸3339=⫖↰⪸0","layer":3},{"info":"NaN⩇∃⫛⫖↰⪸0=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"⫖↰⪸B01∠↢⫖↰⪸340B=⫖↰⪸-41970","layer":3},{"info":"⫖↰⪸-41970⫭=⫖↰⪸-10530B","layer":2},{"info":"⫖↰⪸1617⋕⪉⪜⫖↰⪸16A1=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸159B⨎⫖↰⪸B67=⫖↰⪸B67","layer":3},{"info":"⫖↰⪸1756↱⫖↰⪸B67=⫖↰⪸-2703","layer":2},{"info":"⫖↰⪸-10530B⪭⫖↰⪸-2703=⫖↰⪸1051A5","layer":1},{"info":"NaN⪎↠⫖↰⪸1051A5=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"(-$1307$↺$3926$⊭↱$1015$↺$1591$)∈","expression":"(-⫖↰⪸90B↺⫖↰⪸2332⊭↱⫖↰⪸707↺⫖↰⪸B07)∈","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"tree":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1307,"base":12},"right_expr":{"type":"numeric_atoms","value":3926,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":1591,"base":12}}}}},"used_operators":["ztP7wcbY7m","t8gj7n24qd","COABgblf1C","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸7864","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1307","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=3926, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3926","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1591, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1591","layer":3},{"info":"compute binary expreesion, left_input=3926, right_input=1591, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4665","layer":2},{"info":"compute unary expreesion, input=-4665, op_id = t8gj7n24qd, unary_op_definition = 'None', output=4665","layer":1},{"info":"compute unary expreesion, input=4665, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=13324","layer":0}],"base":12,"result_base":12,"text":"(-⫖↰⪸90B↺⫖↰⪸2332⊭↱⫖↰⪸707↺⫖↰⪸B07)∈=⫖↰⪸7864","reverse_text":"⫖↰⪸7864=(-⫖↰⪸90B↺⫖↰⪸2332⊭↱⫖↰⪸707↺⫖↰⪸B07)∈","cot":[{"info":"⫖↰⪸90B↺⫖↰⪸2332=⫖↰⪸2332","layer":3},{"info":"⫖↰⪸707↺⫖↰⪸B07=⫖↰⪸B07","layer":3},{"info":"⫖↰⪸2332⊭↱⫖↰⪸B07=⫖↰⪸-2849","layer":2},{"info":"-⫖↰⪸-2849=⫖↰⪸2849","layer":1},{"info":"⫖↰⪸2849∈=⫖↰⪸7864","layer":0}]}
{"id":628,"expression_no_base_symbol":"≅≯⇸(≯($1504$⨑⩅≇$2850$⨐⩸⫘$4552$→⨶⪴$5174$))","expression":"≅≯⇸(≯(⫖↰⪸A54⨑⩅≇⫖↰⪸1796⨐⩸⫘⫖↰⪸2774→⨶⪴⫖↰⪸2BB2))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2929,"operation_count":5,"complexity_ratio":585.8,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1504,"base":12},"right_expr":{"type":"numeric_atoms","value":2850,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4552,"base":12},"right_expr":{"type":"numeric_atoms","value":5174,"base":12}}}}},"used_operators":["apS25hmuAe","keWfFq85dY","fu6greOZ01","h92wMvzauj","bF6eod5Gvf"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","3ViojmjbAp","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1504","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=2850, 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=-4512","layer":3},{"info":"number node, value=4552","layer":4},{"info":"number node, value=5174","layer":4},{"info":"compute binary expreesion, left_input=4552, right_input=5174, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-15522","layer":3},{"info":"compute binary expreesion, left_input=-4512, right_input=-15522, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≅≯⇸(≯(⫖↰⪸A54⨑⩅≇⫖↰⪸1796⨐⩸⫘⫖↰⪸2774→⨶⪴⫖↰⪸2BB2))=NaN","reverse_text":"NaN=≅≯⇸(≯(⫖↰⪸A54⨑⩅≇⫖↰⪸1796⨐⩸⫘⫖↰⪸2774→⨶⪴⫖↰⪸2BB2))","cot":[{"info":"⫖↰⪸A54⨑⩅≇⫖↰⪸1796=⫖↰⪸-2740","layer":3},{"info":"⫖↰⪸2774→⨶⪴⫖↰⪸2BB2=⫖↰⪸-8B96","layer":3},{"info":"⫖↰⪸-2740⨐⩸⫘⫖↰⪸-8B96=NaN","layer":2},{"info":"≯NaN=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"(⩦⊞(∷≠($2344$∌↝$1701$)))⋻⩜⩜(⇉-⫰($2889$⋻⩜⩜$4892$))≁($1880$⩼⇪↪$1013$)⪟⇏($3466$⪪$4137$)","expression":"(⩦⊞(∷≠(⫖↰⪸1434∌↝⫖↰⪸B99)))⋻⩜⩜(⇉-⫰(⫖↰⪸1809⋻⩜⩜⫖↰⪸29B8))≁(⫖↰⪸1108⩼⇪↪⫖↰⪸705)⪟⇏(⫖↰⪸200A⪪⫖↰⪸2489)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":204365,"operation_count":10,"complexity_ratio":20436.5,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2344,"base":12},"right_expr":{"type":"numeric_atoms","value":1701,"base":12}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2889,"base":12},"right_expr":{"type":"numeric_atoms","value":4892,"base":12}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1880,"base":12},"right_expr":{"type":"numeric_atoms","value":1013,"base":12}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3466,"base":12},"right_expr":{"type":"numeric_atoms","value":4137,"base":12}}}}},"used_operators":["oDCm7WA9JY","u7fv1HBiaC","QiR2Oyf5Xj","9Isq31Ruls","8N2wDY1A35","IGFM8TAlm9","GODebY97qR","ocnLzx9CaJ","xD69zh8xqp"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","7j4O788W3g","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eH2TOUuTDT","eewbuw0ToL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI"],"result":"⫖↰⪸-94","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2344","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=1701, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-56","layer":1},{"info":"number node, value=2889","layer":4},{"info":"number node, value=4892","layer":4},{"info":"compute binary expreesion, left_input=2889, right_input=4892, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5778","layer":3},{"info":"compute unary expreesion, input=5778, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=1880","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=1013, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4114","layer":3},{"info":"number node, value=3466","layer":4},{"info":"number node, value=4137","layer":4},{"info":"compute binary expreesion, left_input=3466, right_input=4137, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-519455","layer":3},{"info":"compute binary expreesion, left_input=-4114, right_input=-519455, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":1},{"info":"compute binary expreesion, left_input=-56, right_input=-8941, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=-112","layer":0}],"base":12,"result_base":12,"text":"(⩦⊞(∷≠(⫖↰⪸1434∌↝⫖↰⪸B99)))⋻⩜⩜(⇉-⫰(⫖↰⪸1809⋻⩜⩜⫖↰⪸29B8))≁(⫖↰⪸1108⩼⇪↪⫖↰⪸705)⪟⇏(⫖↰⪸200A⪪⫖↰⪸2489)=⫖↰⪸-94","reverse_text":"⫖↰⪸-94=(⩦⊞(∷≠(⫖↰⪸1434∌↝⫖↰⪸B99)))⋻⩜⩜(⇉-⫰(⫖↰⪸1809⋻⩜⩜⫖↰⪸29B8))≁(⫖↰⪸1108⩼⇪↪⫖↰⪸705)⪟⇏(⫖↰⪸200A⪪⫖↰⪸2489)","cot":[{"info":"⫖↰⪸1434∌↝⫖↰⪸B99=⫖↰⪸0","layer":3},{"info":"∷≠⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⩦⊞⫖↰⪸0=⫖↰⪸-48","layer":1},{"info":"⫖↰⪸1809⋻⩜⩜⫖↰⪸29B8=⫖↰⪸3416","layer":3},{"info":"⇉-⫰⫖↰⪸3416=⫖↰⪸18","layer":2},{"info":"⫖↰⪸1108⩼⇪↪⫖↰⪸705=⫖↰⪸-246A","layer":3},{"info":"⫖↰⪸200A⪪⫖↰⪸2489=⫖↰⪸-21073B","layer":3},{"info":"⫖↰⪸-246A⪟⇏⫖↰⪸-21073B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸18≁⫖↰⪸0=⫖↰⪸-5211","layer":1},{"info":"⫖↰⪸-48⋻⩜⩜⫖↰⪸-5211=⫖↰⪸-94","layer":0}]}
{"id":630,"expression_no_base_symbol":"($1276$⩦$3044$⪪($1213$⩇∃⫛$6241$))⪚(↔($8119$⪒$3682$))⨵⪆(↸⊣(($5892$/$3674$)∣($1420$⩇∃⫛$2561$)))","expression":"(⫖↰⪸8A4⩦⫖↰⪸1918⪪(⫖↰⪸851⩇∃⫛⫖↰⪸3741))⪚(↔(⫖↰⪸4847⪒⫖↰⪸216A))⨵⪆(↸⊣((⫖↰⪸34B0/⫖↰⪸2162)∣(⫖↰⪸9A4⩇∃⫛⫖↰⪸1595)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7887,"operation_count":11,"complexity_ratio":717.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1276,"base":12},"right_expr":{"type":"numeric_atoms","value":3044,"base":12}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1213,"base":12},"right_expr":{"type":"numeric_atoms","value":6241,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8119,"base":12},"right_expr":{"type":"numeric_atoms","value":3682,"base":12}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5892,"base":12},"right_expr":{"type":"numeric_atoms","value":3674,"base":12}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1420,"base":12},"right_expr":{"type":"numeric_atoms","value":2561,"base":12}}}}},"used_operators":["2DQ55sFlQl","HrjLwUk87U","xD69zh8xqp","0kmYd0q39Y","1aApVXNlOP","ruOEQAzv1W","f6k1SAg4EE","wztAlM01eG","PPChnnnBFF","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","FU0Cs4j7VP","JclMnS0uGI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1276","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=3044, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2552","layer":3},{"info":"number node, value=1213","layer":4},{"info":"number node, value=6241","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=6241, 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=5501","layer":3},{"info":"compute binary expreesion, left_input=2552, right_input=5501, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-381441","layer":2},{"info":"number node, value=8119","layer":4},{"info":"number node, value=3682","layer":4},{"info":"compute binary expreesion, left_input=8119, right_input=3682, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11801","layer":3},{"info":"compute unary expreesion, input=-11801, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-381441, right_input=-134, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=762006","layer":1},{"info":"number node, value=5892","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=5892, right_input=3674, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1420","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=2561, 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=1614","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=1614, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2","layer":1},{"info":"compute binary expreesion, left_input=762006, right_input=-2, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸8A4⩦⫖↰⪸1918⪪(⫖↰⪸851⩇∃⫛⫖↰⪸3741))⪚(↔(⫖↰⪸4847⪒⫖↰⪸216A))⨵⪆(↸⊣((⫖↰⪸34B0/⫖↰⪸2162)∣(⫖↰⪸9A4⩇∃⫛⫖↰⪸1595)))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⫖↰⪸8A4⩦⫖↰⪸1918⪪(⫖↰⪸851⩇∃⫛⫖↰⪸3741))⪚(↔(⫖↰⪸4847⪒⫖↰⪸216A))⨵⪆(↸⊣((⫖↰⪸34B0/⫖↰⪸2162)∣(⫖↰⪸9A4⩇∃⫛⫖↰⪸1595)))","cot":[{"info":"⫖↰⪸8A4⩦⫖↰⪸1918=⫖↰⪸1588","layer":3},{"info":"⫖↰⪸851⩇∃⫛⫖↰⪸3741=⫖↰⪸3225","layer":3},{"info":"⫖↰⪸1588⪪⫖↰⪸3225=⫖↰⪸-1648A9","layer":2},{"info":"⫖↰⪸4847⪒⫖↰⪸216A=⫖↰⪸-69B5","layer":3},{"info":"↔⫖↰⪸-69B5=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸-1648A9⪚⫖↰⪸-B2=⫖↰⪸308B86","layer":1},{"info":"⫖↰⪸34B0/⫖↰⪸2162=⫖↰⪸1","layer":3},{"info":"⫖↰⪸9A4⩇∃⫛⫖↰⪸1595=⫖↰⪸B26","layer":3},{"info":"⫖↰⪸1∣⫖↰⪸B26=⫖↰⪸1","layer":2},{"info":"↸⊣⫖↰⪸1=⫖↰⪸-2","layer":1},{"info":"⫖↰⪸308B86⨵⪆⫖↰⪸-2=⫖↰⪸114","layer":0}]}
{"id":631,"expression_no_base_symbol":"((⨰⫟⨤$2673$)⫚↹⊑($1261$⨵⪆$2908$)⫚↹⊑$1018$↤⩊$2974$⨚$1551$≎⪠$7297$)⇻⋧≁(($3300$⪒⊣⊆$3473$⊢)⨟⋌⩍($3790$⇷$5074$⫚↹⊑(≛$1293$)))","expression":"((⨰⫟⨤⫖↰⪸1669)⫚↹⊑(⫖↰⪸891⨵⪆⫖↰⪸1824)⫚↹⊑⫖↰⪸70A↤⩊⫖↰⪸187A⨚⫖↰⪸A93≎⪠⫖↰⪸4281)⇻⋧≁((⫖↰⪸1AB0⪒⊣⊆⫖↰⪸2015⊢)⨟⋌⩍(⫖↰⪸223A⇷⫖↰⪸2B2A⫚↹⊑(≛⫖↰⪸8B9)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":85064,"operation_count":14,"complexity_ratio":6076.0,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2673,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1261,"base":12},"right_expr":{"type":"numeric_atoms","value":2908,"base":12}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1018,"base":12},"right_expr":{"type":"numeric_atoms","value":2974,"base":12}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1551,"base":12},"right_expr":{"type":"numeric_atoms","value":7297,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3300,"base":12},"right_expr":{"type":"numeric_atoms","value":3473,"base":12}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3790,"base":12},"right_expr":{"type":"numeric_atoms","value":5074,"base":12}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1293,"base":12}}}}},"used_operators":["jCPkEVoL5K","dfKe02y8D2","Tw270M8GLb","2DQ55sFlQl","nREPSIbpBE","13rbtpv6ld","aNhz54LH3e","rGHVDoGpnC","40aOVDgCDB","eRqsBgTDFp","mp7IySMOzn","W7eaUhjymW"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Tcnh7f0tEr","NTOWxs364D","sdazOOVcIp","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2673","layer":4},{"info":"compute unary expreesion, input=2673, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2908, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=2974","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2974, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1551","layer":4},{"info":"number node, value=7297","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=7297, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=3300","layer":4},{"info":"number node, value=3473","layer":4},{"info":"compute binary expreesion, left_input=3300, right_input=3473, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6600","layer":3},{"info":"compute unary expreesion, input=6600, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-6847","layer":2},{"info":"number node, value=3790","layer":4},{"info":"number node, value=5074","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=5074, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10148","layer":3},{"info":"number node, value=1293","layer":4},{"info":"compute unary expreesion, input=1293, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=10148, right_input=-10, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-6847, right_input=-447, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":12,"result_base":12,"text":"((⨰⫟⨤⫖↰⪸1669)⫚↹⊑(⫖↰⪸891⨵⪆⫖↰⪸1824)⫚↹⊑⫖↰⪸70A↤⩊⫖↰⪸187A⨚⫖↰⪸A93≎⪠⫖↰⪸4281)⇻⋧≁((⫖↰⪸1AB0⪒⊣⊆⫖↰⪸2015⊢)⨟⋌⩍(⫖↰⪸223A⇷⫖↰⪸2B2A⫚↹⊑(≛⫖↰⪸8B9)))=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=((⨰⫟⨤⫖↰⪸1669)⫚↹⊑(⫖↰⪸891⨵⪆⫖↰⪸1824)⫚↹⊑⫖↰⪸70A↤⩊⫖↰⪸187A⨚⫖↰⪸A93≎⪠⫖↰⪸4281)⇻⋧≁((⫖↰⪸1AB0⪒⊣⊆⫖↰⪸2015⊢)⨟⋌⩍(⫖↰⪸223A⇷⫖↰⪸2B2A⫚↹⊑(≛⫖↰⪸8B9)))","cot":[{"info":"⨰⫟⨤⫖↰⪸1669=NaN","layer":3},{"info":"⫖↰⪸891⨵⪆⫖↰⪸1824=⫖↰⪸114","layer":3},{"info":"NaN⫚↹⊑⫖↰⪸114=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸70A↤⩊⫖↰⪸187A=NaN","layer":3},{"info":"⫖↰⪸A93≎⪠⫖↰⪸4281=⫖↰⪸B39A","layer":3},{"info":"NaN⨚⫖↰⪸B39A=NaN","layer":2},{"info":"⫖↰⪸-313⫚↹⊑NaN=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸1AB0⪒⊣⊆⫖↰⪸2015=⫖↰⪸39A0","layer":3},{"info":"⫖↰⪸39A0⊢=⫖↰⪸-3B67","layer":2},{"info":"⫖↰⪸223A⇷⫖↰⪸2B2A=⫖↰⪸5A58","layer":3},{"info":"≛⫖↰⪸8B9=⫖↰⪸-A","layer":3},{"info":"⫖↰⪸5A58⫚↹⊑⫖↰⪸-A=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸-3B67⨟⋌⩍⫖↰⪸-313=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-313⇻⋧≁⫖↰⪸0=⫖↰⪸-313","layer":0}]}
{"id":632,"expression_no_base_symbol":"(⨆≐≲(⇋⊎⋝($2247$⨒$1318$)))↪⪝","expression":"(⨆≐≲(⇋⊎⋝(⫖↰⪸1373⨒⫖↰⪸91A)))↪⪝","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":13873,"operation_count":4,"complexity_ratio":3468.25,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2247,"base":12},"right_expr":{"type":"numeric_atoms","value":1318,"base":12}}}}},"used_operators":["l07mrZUIn9","Bi9z9uYZqW","CzM2PEoXns","y75s1iXyHd"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","dWAJyo7jo9","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"-Inf","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2247","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=1318, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-13110","layer":3},{"info":"compute unary expreesion, input=-13110, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"compute unary expreesion, input=-168548, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":0}],"base":12,"result_base":12,"text":"(⨆≐≲(⇋⊎⋝(⫖↰⪸1373⨒⫖↰⪸91A)))↪⪝=-Inf","reverse_text":"-Inf=(⨆≐≲(⇋⊎⋝(⫖↰⪸1373⨒⫖↰⪸91A)))↪⪝","cot":[{"info":"⫖↰⪸1373⨒⫖↰⪸91A=⫖↰⪸-7706","layer":3},{"info":"⇋⊎⋝⫖↰⪸-7706=NaN","layer":2},{"info":"⨆≐≲NaN=⫖↰⪸-81658","layer":1},{"info":"⫖↰⪸-81658↪⪝=-Inf","layer":0}]}
{"id":633,"expression_no_base_symbol":"(($1220$∌$3496$≚⋢)⨉)≄⊠(($1323$⊕∕$3979$)⪬($1547$⩺⪪$3023$)⋓(($3134$⫒⫫$4769$)⊀⩕))","expression":"((⫖↰⪸858∌⫖↰⪸2034≚⋢)⨉)≄⊠((⫖↰⪸923⊕∕⫖↰⪸2377)⪬(⫖↰⪸A8B⩺⪪⫖↰⪸18BB)⋓((⫖↰⪸1992⫒⫫⫖↰⪸2915)⊀⩕))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1732,"operation_count":10,"complexity_ratio":173.2,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1220,"base":12},"right_expr":{"type":"numeric_atoms","value":3496,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1323,"base":12},"right_expr":{"type":"numeric_atoms","value":3979,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1547,"base":12},"right_expr":{"type":"numeric_atoms","value":3023,"base":12}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3134,"base":12},"right_expr":{"type":"numeric_atoms","value":4769,"base":12}}}}},"used_operators":["vXNesLlMH1","aMUSaJuDRU","MahUMFw56D","8cLx32lpNA","T2fj7uvVaJ","Ez1Nq5fNfI","9cloC0Ngie","uvdQJvN4PV","r0FS3hW4cC","6Ko8hGgeMq"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","3ViojmjbAp","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rGHVDoGpnC","nhYeJWJD5X","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⫖↰⪸A50","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1220","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=3496, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3496","layer":3},{"info":"compute unary expreesion, input=-3496, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute unary expreesion, input=-89, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2506","layer":1},{"info":"number node, value=1323","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=3979, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1323","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=3023","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=3023, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=1323, right_input=-1818, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=3134","layer":4},{"info":"number node, value=4769","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=4769, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2506, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸858∌⫖↰⪸2034≚⋢)⨉)≄⊠((⫖↰⪸923⊕∕⫖↰⪸2377)⪬(⫖↰⪸A8B⩺⪪⫖↰⪸18BB)⋓((⫖↰⪸1992⫒⫫⫖↰⪸2915)⊀⩕))=⫖↰⪸A50","reverse_text":"⫖↰⪸A50=((⫖↰⪸858∌⫖↰⪸2034≚⋢)⨉)≄⊠((⫖↰⪸923⊕∕⫖↰⪸2377)⪬(⫖↰⪸A8B⩺⪪⫖↰⪸18BB)⋓((⫖↰⪸1992⫒⫫⫖↰⪸2915)⊀⩕))","cot":[{"info":"⫖↰⪸858∌⫖↰⪸2034=⫖↰⪸-2034","layer":3},{"info":"⫖↰⪸-2034≚⋢=⫖↰⪸-75","layer":2},{"info":"⫖↰⪸-75⨉=⫖↰⪸154A","layer":1},{"info":"⫖↰⪸923⊕∕⫖↰⪸2377=⫖↰⪸923","layer":3},{"info":"⫖↰⪸A8B⩺⪪⫖↰⪸18BB=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸923⪬⫖↰⪸-1076=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸1992⫒⫫⫖↰⪸2915=NaN","layer":3},{"info":"NaN⊀⩕=NaN","layer":2},{"info":"⫖↰⪸86A⋓NaN=NaN","layer":1},{"info":"⫖↰⪸154A≄⊠NaN=⫖↰⪸A50","layer":0}]}
{"id":634,"expression_no_base_symbol":"(⇐(($2152$⩎⪣⊞)⫥∨⫟(≅≯⇸$2092$)))⋝⋈⪟((($3642$⋓$1403$)⫭)⊦⊿)","expression":"(⇐((⫖↰⪸12B4⩎⪣⊞)⫥∨⫟(≅≯⇸⫖↰⪸1264)))⋝⋈⪟(((⫖↰⪸2136⋓⫖↰⪸98B)⫭)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":30377,"operation_count":8,"complexity_ratio":3797.125,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":2152,"base":12}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2092,"base":12}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3642,"base":12},"right_expr":{"type":"numeric_atoms","value":1403,"base":12}}}}},"used_operators":["2DDjHMKMc0","nmZMaaE0Q9","KYD54nUTWz","waWucp1uQ4","apS25hmuAe","14qkJME0vr","t4WUHVGj7f","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","8HhzD0ZcuI","rGHVDoGpnC","mp7IySMOzn","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=4304","layer":3},{"info":"number node, value=2092","layer":4},{"info":"compute unary expreesion, input=2092, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=16045","layer":3},{"info":"compute binary expreesion, left_input=4304, right_input=16045, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":1},{"info":"number node, value=3642","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=1403, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=241","layer":2},{"info":"compute unary expreesion, input=241, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-802, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇐((⫖↰⪸12B4⩎⪣⊞)⫥∨⫟(≅≯⇸⫖↰⪸1264)))⋝⋈⪟(((⫖↰⪸2136⋓⫖↰⪸98B)⫭)⊦⊿)=NaN","reverse_text":"NaN=(⇐((⫖↰⪸12B4⩎⪣⊞)⫥∨⫟(≅≯⇸⫖↰⪸1264)))⋝⋈⪟(((⫖↰⪸2136⋓⫖↰⪸98B)⫭)⊦⊿)","cot":[{"info":"⫖↰⪸12B4⩎⪣⊞=⫖↰⪸25A8","layer":3},{"info":"≅≯⇸⫖↰⪸1264=⫖↰⪸9351","layer":3},{"info":"⫖↰⪸25A8⫥∨⫟⫖↰⪸9351=NaN","layer":2},{"info":"⇐NaN=NaN","layer":1},{"info":"⫖↰⪸2136⋓⫖↰⪸98B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⫭=⫖↰⪸181","layer":2},{"info":"⫖↰⪸181⊦⊿=⫖↰⪸-56A","layer":1},{"info":"NaN⋝⋈⪟⫖↰⪸-56A=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"⋂(($3850$⫉⨲⊜$6439$∷$3134$⪘⫢$9061$)≳⇉($5572$⫉⨲⊜$1006$∠⫱(∓$8126$)))","expression":"⋂((⫖↰⪸228A⫉⨲⊜⫖↰⪸3887∷⫖↰⪸1992⪘⫢⫖↰⪸52B1)≳⇉(⫖↰⪸3284⫉⨲⊜⫖↰⪸6BA∠⫱(∓⫖↰⪸4852)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":253707,"operation_count":8,"complexity_ratio":31713.375,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3850,"base":12},"right_expr":{"type":"numeric_atoms","value":6439,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3134,"base":12},"right_expr":{"type":"numeric_atoms","value":9061,"base":12}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5572,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":8126,"base":12}}}}},"used_operators":["BUOGQAYlQx","V0kx6qeWkN","D3AQDKkPcf","WhqkvtTD3t","oacrs7FA3X","QvoQhV0rrE","OwUj7dcsQK"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3850","layer":4},{"info":"number node, value=6439","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=6439, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3134","layer":4},{"info":"number node, value=9061","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=9061, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6144","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6144, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6144","layer":2},{"info":"number node, value=5572","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=5572, right_input=1006, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=8126","layer":4},{"info":"compute unary expreesion, input=8126, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-126762","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-126762, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=126762","layer":2},{"info":"compute binary expreesion, left_input=6144, right_input=126762, 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 = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⋂((⫖↰⪸228A⫉⨲⊜⫖↰⪸3887∷⫖↰⪸1992⪘⫢⫖↰⪸52B1)≳⇉(⫖↰⪸3284⫉⨲⊜⫖↰⪸6BA∠⫱(∓⫖↰⪸4852)))=NaN","reverse_text":"NaN=⋂((⫖↰⪸228A⫉⨲⊜⫖↰⪸3887∷⫖↰⪸1992⪘⫢⫖↰⪸52B1)≳⇉(⫖↰⪸3284⫉⨲⊜⫖↰⪸6BA∠⫱(∓⫖↰⪸4852)))","cot":[{"info":"⫖↰⪸228A⫉⨲⊜⫖↰⪸3887=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1992⪘⫢⫖↰⪸52B1=⫖↰⪸3680","layer":3},{"info":"⫖↰⪸0∷⫖↰⪸3680=⫖↰⪸3680","layer":2},{"info":"⫖↰⪸3284⫉⨲⊜⫖↰⪸6BA=⫖↰⪸0","layer":3},{"info":"∓⫖↰⪸4852=⫖↰⪸-61436","layer":3},{"info":"⫖↰⪸0∠⫱⫖↰⪸-61436=⫖↰⪸61436","layer":2},{"info":"⫖↰⪸3680≳⇉⫖↰⪸61436=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"↘((⫵↿$7525$)⪛⫼$1239$⇂≾⫗$1163$)≎⪠(⪹$1462$≄⊠$2722$)","expression":"↘((⫵↿⫖↰⪸4431)⪛⫼⫖↰⪸873⇂≾⫗⫖↰⪸80B)≎⪠(⪹⫖↰⪸A1A≄⊠⫖↰⪸16AA)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19394,"operation_count":7,"complexity_ratio":2770.5714285714284,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":7525,"base":12}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1239,"base":12},"right_expr":{"type":"numeric_atoms","value":1163,"base":12}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1462,"base":12},"right_expr":{"type":"numeric_atoms","value":2722,"base":12}}}}},"used_operators":["LdNpr8hQHL","aNhz54LH3e","hyuBjUqXlG","ivGwdmUAux","aBQ6xLxuTc","USyYr0JgAa","vXNesLlMH1"],"dependent_operators":["uFcxV4UQCh","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","tifHPKVTfV","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⫖↰⪸252","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7525","layer":4},{"info":"compute unary expreesion, input=7525, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1163, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-676, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1609","layer":2},{"info":"number node, value=1462","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=2722, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=48220","layer":3},{"info":"compute unary expreesion, input=48220, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-48040","layer":2},{"info":"compute binary expreesion, left_input=-1609, right_input=-48040, 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 unary expreesion, input=19558, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=350","layer":0}],"base":12,"result_base":12,"text":"↘((⫵↿⫖↰⪸4431)⪛⫼⫖↰⪸873⇂≾⫗⫖↰⪸80B)≎⪠(⪹⫖↰⪸A1A≄⊠⫖↰⪸16AA)=⫖↰⪸252","reverse_text":"⫖↰⪸252=↘((⫵↿⫖↰⪸4431)⪛⫼⫖↰⪸873⇂≾⫗⫖↰⪸80B)≎⪠(⪹⫖↰⪸A1A≄⊠⫖↰⪸16AA)","cot":[{"info":"⫵↿⫖↰⪸4431=⫖↰⪸B5","layer":3},{"info":"⫖↰⪸873⇂≾⫗⫖↰⪸80B=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸B5⪛⫼⫖↰⪸-484=⫖↰⪸-B21","layer":2},{"info":"⫖↰⪸A1A≄⊠⫖↰⪸16AA=⫖↰⪸23AA4","layer":3},{"info":"⪹⫖↰⪸23AA4=⫖↰⪸-23974","layer":2},{"info":"⫖↰⪸-B21≎⪠⫖↰⪸-23974=⫖↰⪸B39A","layer":1},{"info":"↘⫖↰⪸B39A=⫖↰⪸252","layer":0}]}
{"id":637,"expression_no_base_symbol":"($1973$∕⩚$3356$)⪭($2433$≥⨤⩑$3817$)⪡($5982$⨼⩣$1016$⇼⇔∾$7814$⨿$4527$)⊍⩺⋍(⊽$4992$)⊔($1463$⫡⨏$1931$)≀⩗∶(↩$3081$⋅⇍$2529$)","expression":"(⫖↰⪸1185∕⩚⫖↰⪸1B38)⪭(⫖↰⪸14A9≥⨤⩑⫖↰⪸2261)⪡(⫖↰⪸3566⨼⩣⫖↰⪸708⇼⇔∾⫖↰⪸4632⨿⫖↰⪸2753)⊍⩺⋍(⊽⫖↰⪸2A80)⊔(⫖↰⪸A1B⫡⨏⫖↰⪸114B)≀⩗∶(↩⫖↰⪸1949⋅⇍⫖↰⪸1569)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2902,"operation_count":14,"complexity_ratio":207.28571428571428,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1973,"base":12},"right_expr":{"type":"numeric_atoms","value":3356,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2433,"base":12},"right_expr":{"type":"numeric_atoms","value":3817,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5982,"base":12},"right_expr":{"type":"numeric_atoms","value":1016,"base":12}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":7814,"base":12},"right_expr":{"type":"numeric_atoms","value":4527,"base":12}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":4992,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1463,"base":12},"right_expr":{"type":"numeric_atoms","value":1931,"base":12}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3081,"base":12},"right_expr":{"type":"numeric_atoms","value":2529,"base":12}}}}},"used_operators":["OXDGMFPWZM","oraRL2iQuh","j9kHMeSvPp","z9ffQ9n5Zr","gJLn6v0xnP","tifHPKVTfV","JxwMv5le6e","abYXlopdE0","8INZBEW696","E4l6HwMY31","QxG7OkqoLX","QMFrweE19q","jLgFTUHLKL","AdZkA7nFnk"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","COABgblf1C","xUOZtlo3hN","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1973","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=3356, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1976","layer":3},{"info":"number node, value=2433","layer":4},{"info":"number node, value=3817","layer":4},{"info":"compute binary expreesion, left_input=2433, right_input=3817, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1976, right_input=1234, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1802","layer":2},{"info":"number node, value=5982","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=5982, right_input=1016, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=7814","layer":4},{"info":"number node, value=4527","layer":4},{"info":"compute binary expreesion, left_input=7814, right_input=4527, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1802, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=4992","layer":4},{"info":"compute unary expreesion, input=4992, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=11506","layer":3},{"info":"number node, value=1463","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=1931, 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=11960","layer":3},{"info":"compute binary expreesion, left_input=11506, right_input=11960, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=80412","layer":2},{"info":"number node, value=3081","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=2529, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5108","layer":2},{"info":"compute binary expreesion, left_input=80412, right_input=5108, 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=nan, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1185∕⩚⫖↰⪸1B38)⪭(⫖↰⪸14A9≥⨤⩑⫖↰⪸2261)⪡(⫖↰⪸3566⨼⩣⫖↰⪸708⇼⇔∾⫖↰⪸4632⨿⫖↰⪸2753)⊍⩺⋍(⊽⫖↰⪸2A80)⊔(⫖↰⪸A1B⫡⨏⫖↰⪸114B)≀⩗∶(↩⫖↰⪸1949⋅⇍⫖↰⪸1569)=NaN","reverse_text":"NaN=(⫖↰⪸1185∕⩚⫖↰⪸1B38)⪭(⫖↰⪸14A9≥⨤⩑⫖↰⪸2261)⪡(⫖↰⪸3566⨼⩣⫖↰⪸708⇼⇔∾⫖↰⪸4632⨿⫖↰⪸2753)⊍⩺⋍(⊽⫖↰⪸2A80)⊔(⫖↰⪸A1B⫡⨏⫖↰⪸114B)≀⩗∶(↩⫖↰⪸1949⋅⇍⫖↰⪸1569)","cot":[{"info":"⫖↰⪸1185∕⩚⫖↰⪸1B38=⫖↰⪸-1188","layer":3},{"info":"⫖↰⪸14A9≥⨤⩑⫖↰⪸2261=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-1188⪭⫖↰⪸86A=⫖↰⪸1062","layer":2},{"info":"⫖↰⪸3566⨼⩣⫖↰⪸708=NaN","layer":3},{"info":"⫖↰⪸4632⨿⫖↰⪸2753=⫖↰⪸-227","layer":3},{"info":"NaN⇼⇔∾⫖↰⪸-227=NaN","layer":2},{"info":"⫖↰⪸1062⪡NaN=NaN","layer":1},{"info":"⊽⫖↰⪸2A80=⫖↰⪸67AA","layer":3},{"info":"⫖↰⪸A1B⫡⨏⫖↰⪸114B=⫖↰⪸6B08","layer":3},{"info":"⫖↰⪸67AA⊔⫖↰⪸6B08=⫖↰⪸3A650","layer":2},{"info":"⫖↰⪸1949⋅⇍⫖↰⪸1569=⫖↰⪸-1A","layer":3},{"info":"↩⫖↰⪸-1A=⫖↰⪸2B58","layer":2},{"info":"⫖↰⪸3A650≀⩗∶⫖↰⪸2B58=⫖↰⪸0","layer":1},{"info":"NaN⊍⩺⋍⫖↰⪸0=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"(($1958$∙∹∝$5778$)⋹⋡⊁($2881$⩘)⨲)∋(($1377$⩦$7438$∝($9568$↠))∑⇟⊟(⊙↵-$5443$⪢$4071$))","expression":"((⫖↰⪸1172∙∹∝⫖↰⪸3416)⋹⋡⊁(⫖↰⪸1801⩘)⨲)∋((⫖↰⪸969⩦⫖↰⪸437A∝(⫖↰⪸5654↠))∑⇟⊟(⊙↵-⫖↰⪸3197⪢⫖↰⪸2433))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19784,"operation_count":11,"complexity_ratio":1798.5454545454545,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1958,"base":12},"right_expr":{"type":"numeric_atoms","value":5778,"base":12}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":2881,"base":12}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1377,"base":12},"right_expr":{"type":"numeric_atoms","value":7438,"base":12}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":9568,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5443,"base":12},"right_expr":{"type":"numeric_atoms","value":4071,"base":12}}}}},"used_operators":["ukq6epAj5P","nLYMGWM7L8","As8RqfVLgs","HmxsFra2vL","wvHyciQT5X","U7g4x0WXJJ","cTDWOvIxvz","0kmYd0q39Y","LBdsKIvxzf","oWn0xqSxBt","dWAJyo7jo9"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9ICcGScMcE","dfKe02y8D2","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY"],"result":"⫖↰⪸-6361644","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1958","layer":4},{"info":"number node, value=5778","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=5778, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2881","layer":4},{"info":"compute unary expreesion, input=2881, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-262","layer":2},{"info":"compute unary expreesion, input=-262, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":1},{"info":"number node, value=1377","layer":4},{"info":"number node, value=7438","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=7438, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2754","layer":3},{"info":"number node, value=9568","layer":4},{"info":"compute unary expreesion, input=9568, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=2754, right_input=-447, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2759","layer":2},{"info":"number node, value=5443","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=5443, right_input=4071, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2759, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4683709, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-18789460","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1172∙∹∝⫖↰⪸3416)⋹⋡⊁(⫖↰⪸1801⩘)⨲)∋((⫖↰⪸969⩦⫖↰⪸437A∝(⫖↰⪸5654↠))∑⇟⊟(⊙↵-⫖↰⪸3197⪢⫖↰⪸2433))=⫖↰⪸-6361644","reverse_text":"⫖↰⪸-6361644=((⫖↰⪸1172∙∹∝⫖↰⪸3416)⋹⋡⊁(⫖↰⪸1801⩘)⨲)∋((⫖↰⪸969⩦⫖↰⪸437A∝(⫖↰⪸5654↠))∑⇟⊟(⊙↵-⫖↰⪸3197⪢⫖↰⪸2433))","cot":[{"info":"⫖↰⪸1172∙∹∝⫖↰⪸3416=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1801⩘=⫖↰⪸57","layer":3},{"info":"⫖↰⪸0⋹⋡⊁⫖↰⪸57=⫖↰⪸-19A","layer":2},{"info":"⫖↰⪸-19A⨲=⫖↰⪸169A591","layer":1},{"info":"⫖↰⪸969⩦⫖↰⪸437A=⫖↰⪸1716","layer":3},{"info":"⫖↰⪸5654↠=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1716∝⫖↰⪸-313=⫖↰⪸171B","layer":2},{"info":"⫖↰⪸3197⪢⫖↰⪸2433=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫖↰⪸171B∑⇟⊟NaN=NaN","layer":1},{"info":"⫖↰⪸169A591∋NaN=⫖↰⪸-6361644","layer":0}]}
{"id":639,"expression_no_base_symbol":"(((⨦⪝$6104$)⊴(∷≠$6900$))⨀⨒)⇷(($3781$⩘⨬⇊)⩧⪆(⇙⪊$4053$)⊾⪯⋞(⊙↵-($1275$≠≀$4183$)))","expression":"(((⨦⪝⫖↰⪸3648)⊴(∷≠⫖↰⪸3BB0))⨀⨒)⇷((⫖↰⪸2231⩘⨬⇊)⩧⪆(⇙⪊⫖↰⪸2419)⊾⪯⋞(⊙↵-(⫖↰⪸8A3≠≀⫖↰⪸2507)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15442,"operation_count":11,"complexity_ratio":1403.8181818181818,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":6104,"base":12}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":6900,"base":12}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3781,"base":12}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4053,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1275,"base":12},"right_expr":{"type":"numeric_atoms","value":4183,"base":12}}}}},"used_operators":["mp7IySMOzn","j6NVkjMzuk","Nsiff2A1zJ","SUjycxNXIR","QiR2Oyf5Xj","HK0tfVPux8","Ikt5ks8PT7","XXmTpEpWTW","pB6Fcnrjim","oWn0xqSxBt","IwW236VD4Y"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","7j4O788W3g","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eewbuw0ToL","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6104","layer":4},{"info":"compute unary expreesion, input=6104, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=6900","layer":4},{"info":"compute unary expreesion, input=6900, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=6900","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=6900, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":1},{"info":"number node, value=3781","layer":4},{"info":"compute unary expreesion, input=3781, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=4053","layer":4},{"info":"compute unary expreesion, input=4053, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"number node, value=1275","layer":4},{"info":"number node, value=4183","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=4183, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2244","layer":3},{"info":"compute unary expreesion, input=-2244, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=196, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-818, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⨦⪝⫖↰⪸3648)⊴(∷≠⫖↰⪸3BB0))⨀⨒)⇷((⫖↰⪸2231⩘⨬⇊)⩧⪆(⇙⪊⫖↰⪸2419)⊾⪯⋞(⊙↵-(⫖↰⪸8A3≠≀⫖↰⪸2507)))=NaN","reverse_text":"NaN=(((⨦⪝⫖↰⪸3648)⊴(∷≠⫖↰⪸3BB0))⨀⨒)⇷((⫖↰⪸2231⩘⨬⇊)⩧⪆(⇙⪊⫖↰⪸2419)⊾⪯⋞(⊙↵-(⫖↰⪸8A3≠≀⫖↰⪸2507)))","cot":[{"info":"⨦⪝⫖↰⪸3648=⫖↰⪸-1110","layer":3},{"info":"∷≠⫖↰⪸3BB0=⫖↰⪸3BB0","layer":3},{"info":"⫖↰⪸-1110⊴⫖↰⪸3BB0=NaN","layer":2},{"info":"NaN⨀⨒=NaN","layer":1},{"info":"⫖↰⪸2231⩘⨬⇊=NaN","layer":3},{"info":"⇙⪊⫖↰⪸2419=⫖↰⪸0","layer":3},{"info":"NaN⩧⪆⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸8A3≠≀⫖↰⪸2507=⫖↰⪸-1370","layer":3},{"info":"⊙↵-⫖↰⪸-1370=⫖↰⪸144","layer":2},{"info":"⫖↰⪸0⊾⪯⋞⫖↰⪸144=⫖↰⪸-582","layer":1},{"info":"NaN⇷⫖↰⪸-582=NaN","layer":0}]}
{"id":640,"expression_no_base_symbol":"(∜⨇($2838$⫰⋱$7051$))⋾⨃∁($4743$⨪↰⇹$1065$-$4925$∙⊟$2545$)⫚↹⊑(⪹($4958$⫦⪉$2158$))↼⊘⨖(($4697$⩟)⨰($4752$⊠≄⫣))","expression":"(∜⨇(⫖↰⪸1786⫰⋱⫖↰⪸40B7))⋾⨃∁(⫖↰⪸28B3⨪↰⇹⫖↰⪸749-⫖↰⪸2A25∙⊟⫖↰⪸1581)⫚↹⊑(⪹(⫖↰⪸2A52⫦⪉⫖↰⪸12BA))↼⊘⨖((⫖↰⪸2875⩟)⨰(⫖↰⪸2900⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":79029,"operation_count":13,"complexity_ratio":6079.153846153846,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2838,"base":12},"right_expr":{"type":"numeric_atoms","value":7051,"base":12}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4743,"base":12},"right_expr":{"type":"numeric_atoms","value":1065,"base":12}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4925,"base":12},"right_expr":{"type":"numeric_atoms","value":2545,"base":12}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4958,"base":12},"right_expr":{"type":"numeric_atoms","value":2158,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":4697,"base":12}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4752,"base":12}}}}},"used_operators":["dfKe02y8D2","212REbPD9h","uFPyJr306J","6o9Blt3TJ6","rysDP5nf3Z","tmPS8pqC7x","SxTAKzQCrw","bPywburJMS","USyYr0JgAa","wscyQdcy20","eewbuw0ToL","fOIeswaMU4","DIvbN7qnHd"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rJVOvQCfKK","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","tifHPKVTfV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2838","layer":4},{"info":"number node, value=7051","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=7051, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2805","layer":3},{"info":"compute unary expreesion, input=-2805, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=4743","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=4743, right_input=1065, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4743","layer":3},{"info":"number node, value=4925","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=4925, right_input=2545, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=73871","layer":3},{"info":"compute binary expreesion, left_input=4743, right_input=73871, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-69128","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-69128, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"number node, value=4958","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=4958, right_input=2158, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5016","layer":3},{"info":"compute unary expreesion, input=-5016, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=5196","layer":2},{"info":"number node, value=4697","layer":4},{"info":"compute unary expreesion, input=4697, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-41046","layer":3},{"info":"number node, value=4752","layer":4},{"info":"compute unary expreesion, input=4752, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-41046, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-41036","layer":2},{"info":"compute binary expreesion, left_input=5196, right_input=-41036, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-82294","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-82294, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":12,"result_base":12,"text":"(∜⨇(⫖↰⪸1786⫰⋱⫖↰⪸40B7))⋾⨃∁(⫖↰⪸28B3⨪↰⇹⫖↰⪸749-⫖↰⪸2A25∙⊟⫖↰⪸1581)⫚↹⊑(⪹(⫖↰⪸2A52⫦⪉⫖↰⪸12BA))↼⊘⨖((⫖↰⪸2875⩟)⨰(⫖↰⪸2900⊠≄⫣))=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=(∜⨇(⫖↰⪸1786⫰⋱⫖↰⪸40B7))⋾⨃∁(⫖↰⪸28B3⨪↰⇹⫖↰⪸749-⫖↰⪸2A25∙⊟⫖↰⪸1581)⫚↹⊑(⪹(⫖↰⪸2A52⫦⪉⫖↰⪸12BA))↼⊘⨖((⫖↰⪸2875⩟)⨰(⫖↰⪸2900⊠≄⫣))","cot":[{"info":"⫖↰⪸1786⫰⋱⫖↰⪸40B7=⫖↰⪸-1759","layer":3},{"info":"∜⨇⫖↰⪸-1759=NaN","layer":2},{"info":"⫖↰⪸28B3⨪↰⇹⫖↰⪸749=⫖↰⪸28B3","layer":3},{"info":"⫖↰⪸2A25∙⊟⫖↰⪸1581=⫖↰⪸368BB","layer":3},{"info":"⫖↰⪸28B3-⫖↰⪸368BB=⫖↰⪸-34008","layer":2},{"info":"NaN⋾⨃∁⫖↰⪸-34008=NaN","layer":1},{"info":"⫖↰⪸2A52⫦⪉⫖↰⪸12BA=⫖↰⪸-2AA0","layer":3},{"info":"⪹⫖↰⪸-2AA0=⫖↰⪸3010","layer":2},{"info":"⫖↰⪸2875⩟=⫖↰⪸-1B906","layer":3},{"info":"⫖↰⪸2900⊠≄⫣=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1B906⨰⫖↰⪸0=⫖↰⪸-1B8B8","layer":2},{"info":"⫖↰⪸3010↼⊘⨖⫖↰⪸-1B8B8=⫖↰⪸-3B75A","layer":1},{"info":"NaN⫚↹⊑⫖↰⪸-3B75A=⫖↰⪸-313","layer":0}]}
{"id":641,"expression_no_base_symbol":"(($1374$⪛⫼$1531$)∛(⪨⨬$2878$)⫦⪉(($1713$⪁$5191$)⪓⨏))↳≱(($3818$⨲∙)⫥∨⫟($1481$⩺⋐⫨)∠↢(($5052$%$1348$)∷$5389$⋥≓≎$8096$))","expression":"((⫖↰⪸966⪛⫼⫖↰⪸A77)∛(⪨⨬⫖↰⪸17BA)⫦⪉((⫖↰⪸BA9⪁⫖↰⪸3007)⪓⨏))↳≱((⫖↰⪸2262⨲∙)⫥∨⫟(⫖↰⪸A35⩺⋐⫨)∠↢((⫖↰⪸2B10%⫖↰⪸944)∷⫖↰⪸3151⋥≓≎⫖↰⪸4828))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":341815548,"operation_count":14,"complexity_ratio":24415396.285714287,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1374,"base":12},"right_expr":{"type":"numeric_atoms","value":1531,"base":12}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2878,"base":12}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1713,"base":12},"right_expr":{"type":"numeric_atoms","value":5191,"base":12}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":3818,"base":12}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1481,"base":12}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5052,"base":12},"right_expr":{"type":"numeric_atoms","value":1348,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5389,"base":12},"right_expr":{"type":"numeric_atoms","value":8096,"base":12}}}}},"used_operators":["JwTKLfZU96","wscyQdcy20","w2537kitQq","hyuBjUqXlG","5obUd6DV38","4X9JU4Jbn6","I7sXao9hZE","KbjG8mgYpV","KYD54nUTWz","cRahaglYVE","yS9ePUuUdn","D3AQDKkPcf","k8jYdgA6NY","Qy55tPpLXF"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","T2fj7uvVaJ","nlCqmYiOvY","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1374","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1531, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=2878","layer":4},{"info":"compute unary expreesion, input=2878, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-526, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1713","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=5191, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4766","layer":1},{"info":"number node, value=3818","layer":4},{"info":"compute unary expreesion, input=3818, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=49675406","layer":3},{"info":"number node, value=1481","layer":4},{"info":"compute unary expreesion, input=1481, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=49675406, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5052","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=5052, right_input=1348, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1008","layer":3},{"info":"number node, value=5389","layer":4},{"info":"number node, value=8096","layer":4},{"info":"compute binary expreesion, left_input=5389, right_input=8096, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10836","layer":3},{"info":"compute binary expreesion, left_input=1008, right_input=10836, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=10836","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10836, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4766, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸966⪛⫼⫖↰⪸A77)∛(⪨⨬⫖↰⪸17BA)⫦⪉((⫖↰⪸BA9⪁⫖↰⪸3007)⪓⨏))↳≱((⫖↰⪸2262⨲∙)⫥∨⫟(⫖↰⪸A35⩺⋐⫨)∠↢((⫖↰⪸2B10%⫖↰⪸944)∷⫖↰⪸3151⋥≓≎⫖↰⪸4828))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸966⪛⫼⫖↰⪸A77)∛(⪨⨬⫖↰⪸17BA)⫦⪉((⫖↰⪸BA9⪁⫖↰⪸3007)⪓⨏))↳≱((⫖↰⪸2262⨲∙)⫥∨⫟(⫖↰⪸A35⩺⋐⫨)∠↢((⫖↰⪸2B10%⫖↰⪸944)∷⫖↰⪸3151⋥≓≎⫖↰⪸4828))","cot":[{"info":"⫖↰⪸966⪛⫼⫖↰⪸A77=⫖↰⪸688","layer":3},{"info":"⪨⨬⫖↰⪸17BA=⫖↰⪸-37A","layer":3},{"info":"⫖↰⪸688∛⫖↰⪸-37A=⫖↰⪸57","layer":2},{"info":"⫖↰⪸BA9⪁⫖↰⪸3007=NaN","layer":3},{"info":"NaN⪓⨏=NaN","layer":2},{"info":"⫖↰⪸57⫦⪉NaN=⫖↰⪸2912","layer":1},{"info":"⫖↰⪸2262⨲∙=⫖↰⪸14777412","layer":3},{"info":"⫖↰⪸A35⩺⋐⫨=⫖↰⪸0","layer":3},{"info":"⫖↰⪸14777412⫥∨⫟⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸2B10%⫖↰⪸944=⫖↰⪸700","layer":3},{"info":"⫖↰⪸3151⋥≓≎⫖↰⪸4828=⫖↰⪸6330","layer":3},{"info":"⫖↰⪸700∷⫖↰⪸6330=⫖↰⪸6330","layer":2},{"info":"NaN∠↢⫖↰⪸6330=NaN","layer":1},{"info":"⫖↰⪸2912↳≱NaN=⫖↰⪸0","layer":0}]}
{"id":642,"expression_no_base_symbol":"(($3205$⊦⊿)⪪$6350$∛$2178$)⫉⨲⊜(⩰(⨂⪏⇭$3282$))⨸⪁(≯($5159$⪭$4486$⫩⊇))","expression":"((⫖↰⪸1A31⊦⊿)⪪⫖↰⪸3812∛⫖↰⪸1316)⫉⨲⊜(⩰(⨂⪏⇭⫖↰⪸1A96))⨸⪁(≯(⫖↰⪸2B9B⪭⫖↰⪸271A⫩⊇))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":507,"operation_count":10,"complexity_ratio":50.7,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3205,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6350,"base":12},"right_expr":{"type":"numeric_atoms","value":2178,"base":12}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3282,"base":12}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5159,"base":12},"right_expr":{"type":"numeric_atoms","value":4486,"base":12}}}}},"used_operators":["g55IO6H4Gj","WhqkvtTD3t","xD69zh8xqp","14qkJME0vr","w2537kitQq","WkeUrDK8WX","AYdpE9sXAk","keWfFq85dY","BjRHVeLaeN","j9kHMeSvPp"],"dependent_operators":["W4YGzv6Whe","eewbuw0ToL","zVYPLywUTj","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","g55IO6H4Gj","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN"],"result":"⫖↰⪸-B66A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3205","layer":4},{"info":"compute unary expreesion, input=3205, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9694","layer":3},{"info":"number node, value=6350","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=6350, right_input=2178, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-9694, right_input=-670, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=8867","layer":3},{"info":"compute unary expreesion, input=8867, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-9867","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=-9867, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-9977","layer":1},{"info":"number node, value=5159","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=5159, right_input=4486, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=37","layer":2},{"info":"compute unary expreesion, input=37, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-9977, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-19954","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1A31⊦⊿)⪪⫖↰⪸3812∛⫖↰⪸1316)⫉⨲⊜(⩰(⨂⪏⇭⫖↰⪸1A96))⨸⪁(≯(⫖↰⪸2B9B⪭⫖↰⪸271A⫩⊇))=⫖↰⪸-B66A","reverse_text":"⫖↰⪸-B66A=((⫖↰⪸1A31⊦⊿)⪪⫖↰⪸3812∛⫖↰⪸1316)⫉⨲⊜(⩰(⨂⪏⇭⫖↰⪸1A96))⨸⪁(≯(⫖↰⪸2B9B⪭⫖↰⪸271A⫩⊇))","cot":[{"info":"⫖↰⪸1A31⊦⊿=⫖↰⪸-573A","layer":3},{"info":"⫖↰⪸3812∛⫖↰⪸1316=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸-573A⪪⫖↰⪸-47A=⫖↰⪸-3712","layer":2},{"info":"⨂⪏⇭⫖↰⪸1A96=⫖↰⪸516B","layer":3},{"info":"⩰⫖↰⪸516B=⫖↰⪸-5863","layer":2},{"info":"⫖↰⪸-3712⫉⨲⊜⫖↰⪸-5863=⫖↰⪸-5935","layer":1},{"info":"⫖↰⪸2B9B⪭⫖↰⪸271A=⫖↰⪸5","layer":3},{"info":"⫖↰⪸5⫩⊇=⫖↰⪸31","layer":2},{"info":"≯⫖↰⪸31=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-5935⨸⪁⫖↰⪸0=⫖↰⪸-B66A","layer":0}]}
{"id":643,"expression_no_base_symbol":"↪⫪⫘($8808$↤⩊$2160$⪭($1578$↺$8421$)↸($5149$⫏⊷)⇌⫙⪟($2409$⪕$1336$))","expression":"↪⫪⫘(⫖↰⪸5120↤⩊⫖↰⪸1300⪭(⫖↰⪸AB6↺⫖↰⪸4A59)↸(⫖↰⪸2B91⫏⊷)⇌⫙⪟(⫖↰⪸1489⪕⫖↰⪸934))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15893,"operation_count":8,"complexity_ratio":1986.625,"tree":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":8808,"base":12},"right_expr":{"type":"numeric_atoms","value":2160,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1578,"base":12},"right_expr":{"type":"numeric_atoms","value":8421,"base":12}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":5149,"base":12}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2409,"base":12},"right_expr":{"type":"numeric_atoms","value":1336,"base":12}}}}},"used_operators":["9dWsAM3GFt","1eCjFl0mb9","j9kHMeSvPp","13rbtpv6ld","7j4O788W3g","AFVx7xoS7T","dcShxvzhyw","umQnsF7QlU"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","COABgblf1C","xUOZtlo3hN","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⫖↰⪸18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8808","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=8808, right_input=2160, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=8421","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=8421, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8421","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8421, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=5149","layer":4},{"info":"compute unary expreesion, input=5149, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=2409","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=1336, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4383","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=4383, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=113, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":12,"result_base":12,"text":"↪⫪⫘(⫖↰⪸5120↤⩊⫖↰⪸1300⪭(⫖↰⪸AB6↺⫖↰⪸4A59)↸(⫖↰⪸2B91⫏⊷)⇌⫙⪟(⫖↰⪸1489⪕⫖↰⪸934))=⫖↰⪸18","reverse_text":"⫖↰⪸18=↪⫪⫘(⫖↰⪸5120↤⩊⫖↰⪸1300⪭(⫖↰⪸AB6↺⫖↰⪸4A59)↸(⫖↰⪸2B91⫏⊷)⇌⫙⪟(⫖↰⪸1489⪕⫖↰⪸934))","cot":[{"info":"⫖↰⪸5120↤⩊⫖↰⪸1300=NaN","layer":3},{"info":"⫖↰⪸AB6↺⫖↰⪸4A59=⫖↰⪸4A59","layer":3},{"info":"NaN⪭⫖↰⪸4A59=⫖↰⪸5","layer":2},{"info":"⫖↰⪸2B91⫏⊷=⫖↰⪸-584","layer":3},{"info":"⫖↰⪸1489⪕⫖↰⪸934=⫖↰⪸2653","layer":3},{"info":"⫖↰⪸-584⇌⫙⪟⫖↰⪸2653=⫖↰⪸95","layer":2},{"info":"⫖↰⪸5↸⫖↰⪸95=⫖↰⪸5","layer":1},{"info":"↪⫪⫘⫖↰⪸5=⫖↰⪸18","layer":0}]}
{"id":644,"expression_no_base_symbol":"((($4135$⪑⩈)∁)⨫⇇↔($1161$⩣⫁∢$8370$⊾⪯⋞$7291$↞⋁$1222$))↳≱($4600$⨔⇊$2006$⊴$3721$⩼⇪↪$4416$⊋≦⊧($5283$≁$2924$⨵⪆$3469$⨫⇇↔$1374$))","expression":"(((⫖↰⪸2487⪑⩈)∁)⨫⇇↔(⫖↰⪸809⩣⫁∢⫖↰⪸4A16⊾⪯⋞⫖↰⪸4277↞⋁⫖↰⪸85A))↳≱(⫖↰⪸27B4⨔⇊⫖↰⪸11B2⊴⫖↰⪸21A1⩼⇪↪⫖↰⪸2680⊋≦⊧(⫖↰⪸3083≁⫖↰⪸1838⨵⪆⫖↰⪸2011⨫⇇↔⫖↰⪸966))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24731,"operation_count":14,"complexity_ratio":1766.5,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":4135,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1161,"base":12},"right_expr":{"type":"numeric_atoms","value":8370,"base":12}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7291,"base":12},"right_expr":{"type":"numeric_atoms","value":1222,"base":12}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4600,"base":12},"right_expr":{"type":"numeric_atoms","value":2006,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3721,"base":12},"right_expr":{"type":"numeric_atoms","value":4416,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5283,"base":12},"right_expr":{"type":"numeric_atoms","value":2924,"base":12}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3469,"base":12},"right_expr":{"type":"numeric_atoms","value":1374,"base":12}}}}},"used_operators":["JwTKLfZU96","LXhwmt4mBO","jdwGQqwJi5","C6VvDP6HwP","HK0tfVPux8","JDUIKTTSIa","RqrPlJkxDo","oRDoc9rAEX","Nsiff2A1zJ","JclMnS0uGI","ocnLzx9CaJ","2DQ55sFlQl","8N2wDY1A35"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4135","layer":4},{"info":"compute unary expreesion, input=4135, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=30535","layer":3},{"info":"compute unary expreesion, input=30535, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=30535","layer":2},{"info":"number node, value=1161","layer":4},{"info":"number node, value=8370","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=8370, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2161","layer":3},{"info":"number node, value=7291","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=7291, right_input=1222, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2161, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=30535, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=4600","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=4600, right_input=2006, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2006","layer":3},{"info":"number node, value=3721","layer":4},{"info":"number node, value=4416","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=4416, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-24253","layer":3},{"info":"compute binary expreesion, left_input=2006, right_input=-24253, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5283","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=5283, right_input=2924, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=56975","layer":3},{"info":"number node, value=3469","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=3469, right_input=1374, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=56975, right_input=-527, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2487⪑⩈)∁)⨫⇇↔(⫖↰⪸809⩣⫁∢⫖↰⪸4A16⊾⪯⋞⫖↰⪸4277↞⋁⫖↰⪸85A))↳≱(⫖↰⪸27B4⨔⇊⫖↰⪸11B2⊴⫖↰⪸21A1⩼⇪↪⫖↰⪸2680⊋≦⊧(⫖↰⪸3083≁⫖↰⪸1838⨵⪆⫖↰⪸2011⨫⇇↔⫖↰⪸966))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(((⫖↰⪸2487⪑⩈)∁)⨫⇇↔(⫖↰⪸809⩣⫁∢⫖↰⪸4A16⊾⪯⋞⫖↰⪸4277↞⋁⫖↰⪸85A))↳≱(⫖↰⪸27B4⨔⇊⫖↰⪸11B2⊴⫖↰⪸21A1⩼⇪↪⫖↰⪸2680⊋≦⊧(⫖↰⪸3083≁⫖↰⪸1838⨵⪆⫖↰⪸2011⨫⇇↔⫖↰⪸966))","cot":[{"info":"⫖↰⪸2487⪑⩈=⫖↰⪸15807","layer":3},{"info":"⫖↰⪸15807∁=⫖↰⪸15807","layer":2},{"info":"⫖↰⪸809⩣⫁∢⫖↰⪸4A16=⫖↰⪸-1301","layer":3},{"info":"⫖↰⪸4277↞⋁⫖↰⪸85A=NaN","layer":3},{"info":"⫖↰⪸-1301⊾⪯⋞NaN=NaN","layer":2},{"info":"⫖↰⪸15807⨫⇇↔NaN=⫖↰⪸-37B","layer":1},{"info":"⫖↰⪸27B4⨔⇊⫖↰⪸11B2=⫖↰⪸11B2","layer":3},{"info":"⫖↰⪸21A1⩼⇪↪⫖↰⪸2680=⫖↰⪸-12051","layer":3},{"info":"⫖↰⪸11B2⊴⫖↰⪸-12051=NaN","layer":2},{"info":"⫖↰⪸3083≁⫖↰⪸1838=⫖↰⪸28B7B","layer":3},{"info":"⫖↰⪸2011⨫⇇↔⫖↰⪸966=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸28B7B⨵⪆⫖↰⪸-37B=⫖↰⪸114","layer":2},{"info":"NaN⊋≦⊧⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸-37B↳≱NaN=⫖↰⪸0","layer":0}]}
{"id":645,"expression_no_base_symbol":"((⨦⪝($1163$⇯⋐))⊴⇁⪶)∌((⨂⪏⇭$5006$)≓∲$1225$⨐$5700$∲⫓($1454$⇮⋭$1007$)⇄($2642$∠↢$2167$))","expression":"((⨦⪝(⫖↰⪸80B⇯⋐))⊴⇁⪶)∌((⨂⪏⇭⫖↰⪸2A92)≓∲⫖↰⪸861⨐⫖↰⪸3370∲⫓(⫖↰⪸A12⇮⋭⫖↰⪸6BB)⇄(⫖↰⪸1642∠↢⫖↰⪸1307))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7868,"operation_count":11,"complexity_ratio":715.2727272727273,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1163,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":5006,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1225,"base":12},"right_expr":{"type":"numeric_atoms","value":5700,"base":12}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1454,"base":12},"right_expr":{"type":"numeric_atoms","value":1007,"base":12}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2642,"base":12},"right_expr":{"type":"numeric_atoms","value":2167,"base":12}}}}},"used_operators":["8cLx32lpNA","oo9mF6JIpo","SUjycxNXIR","LkLIoiE525","i8ToyICDmI","s1XTVnmDOJ","AYdpE9sXAk","Noe24qw2ks","3EYGwJThht","vkpjKywKVM","KbjG8mgYpV"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⫖↰⪸-2451A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4367","layer":3},{"info":"compute unary expreesion, input=4367, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = 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=-49126","layer":1},{"info":"number node, value=5006","layer":4},{"info":"compute unary expreesion, input=5006, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=14039","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=5700","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=5700, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2450","layer":3},{"info":"compute binary expreesion, left_input=14039, right_input=-2450, 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=-643556","layer":2},{"info":"number node, value=1454","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=1007, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=2642","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=2167, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-39824","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-39824, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-643556, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-643556","layer":1},{"info":"compute binary expreesion, left_input=-49126, right_input=-643556, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-49126","layer":0}],"base":12,"result_base":12,"text":"((⨦⪝(⫖↰⪸80B⇯⋐))⊴⇁⪶)∌((⨂⪏⇭⫖↰⪸2A92)≓∲⫖↰⪸861⨐⫖↰⪸3370∲⫓(⫖↰⪸A12⇮⋭⫖↰⪸6BB)⇄(⫖↰⪸1642∠↢⫖↰⪸1307))=⫖↰⪸-2451A","reverse_text":"⫖↰⪸-2451A=((⨦⪝(⫖↰⪸80B⇯⋐))⊴⇁⪶)∌((⨂⪏⇭⫖↰⪸2A92)≓∲⫖↰⪸861⨐⫖↰⪸3370∲⫓(⫖↰⪸A12⇮⋭⫖↰⪸6BB)⇄(⫖↰⪸1642∠↢⫖↰⪸1307))","cot":[{"info":"⫖↰⪸80B⇯⋐=⫖↰⪸263B","layer":3},{"info":"⨦⪝⫖↰⪸263B=⫖↰⪸-1110","layer":2},{"info":"⫖↰⪸-1110⊴⇁⪶=⫖↰⪸-2451A","layer":1},{"info":"⨂⪏⇭⫖↰⪸2A92=⫖↰⪸815B","layer":3},{"info":"⫖↰⪸861⨐⫖↰⪸3370=⫖↰⪸-1502","layer":3},{"info":"⫖↰⪸815B≓∲⫖↰⪸-1502=⫖↰⪸-270518","layer":2},{"info":"⫖↰⪸A12⇮⋭⫖↰⪸6BB=⫖↰⪸-335","layer":3},{"info":"⫖↰⪸1642∠↢⫖↰⪸1307=⫖↰⪸-1B068","layer":3},{"info":"⫖↰⪸-335⇄⫖↰⪸-1B068=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-270518∲⫓⫖↰⪸0=⫖↰⪸-270518","layer":1},{"info":"⫖↰⪸-2451A∌⫖↰⪸-270518=⫖↰⪸-2451A","layer":0}]}
{"id":646,"expression_no_base_symbol":"((⊀($9482$↺$4087$))⪄($2077$⪮%⊝$4841$⋻⩜⩜(∂⩏⊆$4666$)))⨭⪣((∜⨇$2378$)∘($8068$⨽$2271$))⊉↱≁(($2056$⋆⋳)⊴($1079$⇷$2721$))","expression":"((⊀(⫖↰⪸55A2↺⫖↰⪸2447))⪄(⫖↰⪸1251⪮%⊝⫖↰⪸2975⋻⩜⩜(∂⩏⊆⫖↰⪸284A)))⨭⪣((∜⨇⫖↰⪸1462)∘(⫖↰⪸4804⨽⫖↰⪸1393))⊉↱≁((⫖↰⪸1234⋆⋳)⊴(⫖↰⪸75B⇷⫖↰⪸16A9))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":226457,"operation_count":14,"complexity_ratio":16175.5,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":9482,"base":12},"right_expr":{"type":"numeric_atoms","value":4087,"base":12}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2077,"base":12},"right_expr":{"type":"numeric_atoms","value":4841,"base":12}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4666,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2378,"base":12}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8068,"base":12},"right_expr":{"type":"numeric_atoms","value":2271,"base":12}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2056,"base":12}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1079,"base":12},"right_expr":{"type":"numeric_atoms","value":2721,"base":12}}}}},"used_operators":["kn8WO9XteQ","SUmda5xLS4","oPMjh9089D","7j4O788W3g","oDCm7WA9JY","IWmyXbctLI","8WDwsbhb0R","w2P8NbNXyL","Z5m6OM72h2","uFPyJr306J","8HhzD0ZcuI","Nsiff2A1zJ","6MpZysEj17","mp7IySMOzn"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","14qkJME0vr","eLAdDNolq6","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9482","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=9482, right_input=4087, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4087","layer":3},{"info":"compute unary expreesion, input=4087, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=16086","layer":2},{"info":"number node, value=2077","layer":4},{"info":"number node, value=4841","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=4841, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4470","layer":3},{"info":"number node, value=4666","layer":4},{"info":"compute unary expreesion, input=4666, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-14077","layer":3},{"info":"compute binary expreesion, left_input=4470, right_input=-14077, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8940","layer":2},{"info":"compute binary expreesion, left_input=16086, right_input=8940, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2412577","layer":1},{"info":"number node, value=2378","layer":4},{"info":"compute unary expreesion, input=2378, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=8068","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=8068, right_input=2271, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-195283371","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-195283371, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4144","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=2721","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=2721, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5442","layer":3},{"info":"compute binary expreesion, left_input=-4144, right_input=5442, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2412577, 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":12,"result_base":12,"text":"((⊀(⫖↰⪸55A2↺⫖↰⪸2447))⪄(⫖↰⪸1251⪮%⊝⫖↰⪸2975⋻⩜⩜(∂⩏⊆⫖↰⪸284A)))⨭⪣((∜⨇⫖↰⪸1462)∘(⫖↰⪸4804⨽⫖↰⪸1393))⊉↱≁((⫖↰⪸1234⋆⋳)⊴(⫖↰⪸75B⇷⫖↰⪸16A9))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=((⊀(⫖↰⪸55A2↺⫖↰⪸2447))⪄(⫖↰⪸1251⪮%⊝⫖↰⪸2975⋻⩜⩜(∂⩏⊆⫖↰⪸284A)))⨭⪣((∜⨇⫖↰⪸1462)∘(⫖↰⪸4804⨽⫖↰⪸1393))⊉↱≁((⫖↰⪸1234⋆⋳)⊴(⫖↰⪸75B⇷⫖↰⪸16A9))","cot":[{"info":"⫖↰⪸55A2↺⫖↰⪸2447=⫖↰⪸2447","layer":3},{"info":"⊀⫖↰⪸2447=⫖↰⪸9386","layer":2},{"info":"⫖↰⪸1251⪮%⊝⫖↰⪸2975=⫖↰⪸2706","layer":3},{"info":"∂⩏⊆⫖↰⪸284A=⫖↰⪸-8191","layer":3},{"info":"⫖↰⪸2706⋻⩜⩜⫖↰⪸-8191=⫖↰⪸5210","layer":2},{"info":"⫖↰⪸9386⪄⫖↰⪸5210=⫖↰⪸-984201","layer":1},{"info":"∜⨇⫖↰⪸1462=NaN","layer":3},{"info":"⫖↰⪸4804⨽⫖↰⪸1393=⫖↰⪸-55497263","layer":3},{"info":"NaN∘⫖↰⪸-55497263=NaN","layer":2},{"info":"⫖↰⪸1234⋆⋳=⫖↰⪸-2494","layer":3},{"info":"⫖↰⪸75B⇷⫖↰⪸16A9=⫖↰⪸3196","layer":3},{"info":"⫖↰⪸-2494⊴⫖↰⪸3196=NaN","layer":2},{"info":"NaN⊉↱≁NaN=NaN","layer":1},{"info":"⫖↰⪸-984201⨭⪣NaN=⫖↰⪸-19","layer":0}]}
{"id":647,"expression_no_base_symbol":"($4129$∺≝⩲$1756$≥⨤⩑($4267$∽$2165$))⫘((↔$1674$)⨔≚≋(⪹$1278$))⇣⩺⋵(⨣⨃⇪($5592$⫃⨇$1163$⊭↱(⪓⩚$2957$)))","expression":"(⫖↰⪸2481∺≝⩲⫖↰⪸1024≥⨤⩑(⫖↰⪸2577∽⫖↰⪸1305))⫘((↔⫖↰⪸B76)⨔≚≋(⪹⫖↰⪸8A6))⇣⩺⋵(⨣⨃⇪(⫖↰⪸32A0⫃⨇⫖↰⪸80B⊭↱(⪓⩚⫖↰⪸1865)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":391211,"operation_count":12,"complexity_ratio":32600.916666666668,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4129,"base":12},"right_expr":{"type":"numeric_atoms","value":1756,"base":12}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4267,"base":12},"right_expr":{"type":"numeric_atoms","value":2165,"base":12}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1674,"base":12}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1278,"base":12}}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5592,"base":12},"right_expr":{"type":"numeric_atoms","value":1163,"base":12}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2957,"base":12}}}}},"used_operators":["F4yD0voBRQ","48vC8HMD2b","gJLn6v0xnP","KPf6cnQVty","y4ImoPnbV5","Z57zeUYC9z","ruOEQAzv1W","USyYr0JgAa","AcOhelriW5","COABgblf1C","09Ly4LVMIf","u0R0Locfp2"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tifHPKVTfV","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⫖↰⪸-198","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4129","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=1756, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=4267","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=2165, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-27652","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-27652, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=320","layer":2},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1401","layer":3},{"info":"number node, value=1278","layer":4},{"info":"compute unary expreesion, input=1278, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1098","layer":3},{"info":"compute binary expreesion, left_input=-1401, right_input=-1098, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=28440","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=28440, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=380725","layer":1},{"info":"number node, value=5592","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=5592, right_input=1163, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4684","layer":3},{"info":"number node, value=2957","layer":4},{"info":"compute unary expreesion, input=2957, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=-4684, right_input=426, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10225","layer":2},{"info":"compute unary expreesion, input=10225, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=380725, right_input=1405, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2481∺≝⩲⫖↰⪸1024≥⨤⩑(⫖↰⪸2577∽⫖↰⪸1305))⫘((↔⫖↰⪸B76)⨔≚≋(⪹⫖↰⪸8A6))⇣⩺⋵(⨣⨃⇪(⫖↰⪸32A0⫃⨇⫖↰⪸80B⊭↱(⪓⩚⫖↰⪸1865)))=⫖↰⪸-198","reverse_text":"⫖↰⪸-198=(⫖↰⪸2481∺≝⩲⫖↰⪸1024≥⨤⩑(⫖↰⪸2577∽⫖↰⪸1305))⫘((↔⫖↰⪸B76)⨔≚≋(⪹⫖↰⪸8A6))⇣⩺⋵(⨣⨃⇪(⫖↰⪸32A0⫃⨇⫖↰⪸80B⊭↱(⪓⩚⫖↰⪸1865)))","cot":[{"info":"⫖↰⪸2481∺≝⩲⫖↰⪸1024=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2577∽⫖↰⪸1305=⫖↰⪸-14004","layer":3},{"info":"⫖↰⪸114≥⨤⩑⫖↰⪸-14004=⫖↰⪸228","layer":2},{"info":"↔⫖↰⪸B76=⫖↰⪸-989","layer":3},{"info":"⪹⫖↰⪸8A6=⫖↰⪸-776","layer":3},{"info":"⫖↰⪸-989⨔≚≋⫖↰⪸-776=⫖↰⪸14560","layer":2},{"info":"⫖↰⪸228⫘⫖↰⪸14560=⫖↰⪸1643B1","layer":1},{"info":"⫖↰⪸32A0⫃⨇⫖↰⪸80B=⫖↰⪸-2864","layer":3},{"info":"⪓⩚⫖↰⪸1865=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸-2864⊭↱⫖↰⪸2B6=⫖↰⪸5B01","layer":2},{"info":"⨣⨃⇪⫖↰⪸5B01=⫖↰⪸991","layer":1},{"info":"⫖↰⪸1643B1⇣⩺⋵⫖↰⪸991=⫖↰⪸-198","layer":0}]}
{"id":648,"expression_no_base_symbol":"(($1657$⨚⇆$1952$)≚⊃≕($7774$⇋≉))⋛(($1494$⨳⩥⨓$5358$)≎⊠⪸$1972$⨓$7174$)↡⊰⫅(≸≮($1187$⫁⪎$1984$))↞⋁(∑⇻≧(⇜⊴$3933$))","expression":"((⫖↰⪸B61⨚⇆⫖↰⪸1168)≚⊃≕(⫖↰⪸45BA⇋≉))⋛((⫖↰⪸A46⨳⩥⨓⫖↰⪸3126)≎⊠⪸⫖↰⪸1184⨓⫖↰⪸419A)↡⊰⫅(≸≮(⫖↰⪸82B⫁⪎⫖↰⪸1194))↞⋁(∑⇻≧(⇜⊴⫖↰⪸2339))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19421,"operation_count":13,"complexity_ratio":1493.923076923077,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1657,"base":12},"right_expr":{"type":"numeric_atoms","value":1952,"base":12}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":7774,"base":12}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1494,"base":12},"right_expr":{"type":"numeric_atoms","value":5358,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1972,"base":12},"right_expr":{"type":"numeric_atoms","value":7174,"base":12}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1187,"base":12},"right_expr":{"type":"numeric_atoms","value":1984,"base":12}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3933,"base":12}}}}},"used_operators":["VCtxkLNOzz","YbUVn0Rbpy","Bmrmz2XGnR","lwHaAYXP2r","XIabStNQrY","bJkvcejdHO","nCS4ZIUYfx","3ViojmjbAp","RqrPlJkxDo","AljMvE3RRm","xRrnTEsQ6j","l1M9WJ3V7u","XwDhCwWbUn"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1657","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=1952, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=7774","layer":4},{"info":"compute unary expreesion, input=7774, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=15450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15450, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"number node, value=1494","layer":4},{"info":"number node, value=5358","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=5358, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3864","layer":3},{"info":"number node, value=1972","layer":4},{"info":"number node, value=7174","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=7174, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7177","layer":3},{"info":"compute binary expreesion, left_input=3864, right_input=-7177, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=67, 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=-122781","layer":1},{"info":"number node, value=1187","layer":4},{"info":"number node, value=1984","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=1984, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-797","layer":3},{"info":"compute unary expreesion, input=-797, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=12738","layer":2},{"info":"number node, value=3933","layer":4},{"info":"compute unary expreesion, input=3933, 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=-914474","layer":3},{"info":"compute unary expreesion, input=-914474, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=914300","layer":2},{"info":"compute binary expreesion, left_input=12738, right_input=914300, 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=-122781, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B61⨚⇆⫖↰⪸1168)≚⊃≕(⫖↰⪸45BA⇋≉))⋛((⫖↰⪸A46⨳⩥⨓⫖↰⪸3126)≎⊠⪸⫖↰⪸1184⨓⫖↰⪸419A)↡⊰⫅(≸≮(⫖↰⪸82B⫁⪎⫖↰⪸1194))↞⋁(∑⇻≧(⇜⊴⫖↰⪸2339))=NaN","reverse_text":"NaN=((⫖↰⪸B61⨚⇆⫖↰⪸1168)≚⊃≕(⫖↰⪸45BA⇋≉))⋛((⫖↰⪸A46⨳⩥⨓⫖↰⪸3126)≎⊠⪸⫖↰⪸1184⨓⫖↰⪸419A)↡⊰⫅(≸≮(⫖↰⪸82B⫁⪎⫖↰⪸1194))↞⋁(∑⇻≧(⇜⊴⫖↰⪸2339))","cot":[{"info":"⫖↰⪸B61⨚⇆⫖↰⪸1168=NaN","layer":3},{"info":"⫖↰⪸45BA⇋≉=⫖↰⪸8B36","layer":3},{"info":"NaN≚⊃≕⫖↰⪸8B36=⫖↰⪸57","layer":2},{"info":"⫖↰⪸A46⨳⩥⨓⫖↰⪸3126=⫖↰⪸22A0","layer":3},{"info":"⫖↰⪸1184⨓⫖↰⪸419A=⫖↰⪸-41A1","layer":3},{"info":"⫖↰⪸22A0≎⊠⪸⫖↰⪸-41A1=⫖↰⪸57","layer":2},{"info":"⫖↰⪸57⋛⫖↰⪸57=⫖↰⪸-5B079","layer":1},{"info":"⫖↰⪸82B⫁⪎⫖↰⪸1194=⫖↰⪸-565","layer":3},{"info":"≸≮⫖↰⪸-565=⫖↰⪸7456","layer":2},{"info":"⇜⊴⫖↰⪸2339=⫖↰⪸-381262","layer":3},{"info":"∑⇻≧⫖↰⪸-381262=⫖↰⪸381138","layer":2},{"info":"⫖↰⪸7456↞⋁⫖↰⪸381138=NaN","layer":1},{"info":"⫖↰⪸-5B079↡⊰⫅NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"$1413$⪎↠$1288$≨(∥⊫$2237$)⊾⪯⋞((≻⋜$4330$)⊊)⨑≵⋬((⩒∊$2109$)*($1321$⨲))↡⊰⫅(⇠($3307$↬⩅∪))","expression":"⫖↰⪸999⪎↠⫖↰⪸8B4≨(∥⊫⫖↰⪸1365)⊾⪯⋞((≻⋜⫖↰⪸260A)⊊)⨑≵⋬((⩒∊⫖↰⪸1279)*(⫖↰⪸921⨲))↡⊰⫅(⇠(⫖↰⪸1AB7↬⩅∪))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":229548,"operation_count":13,"complexity_ratio":17657.53846153846,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1413,"base":12},"right_expr":{"type":"numeric_atoms","value":1288,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2237,"base":12}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4330,"base":12}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2109,"base":12}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":1321,"base":12}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":3307,"base":12}}}}},"used_operators":["XnXgA4xnOs","HK0tfVPux8","0KMCeP1Jsh","3tVxb0NHM4","P8v4zCKN1o","W9R8I5fN5A","3tj9sqzovi","VCtxkLNOzz","9HNa5Wba9A","qazvmhNBbN","nLYMGWM7L8","18saOjeKKm","VJ330n2nnx"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=1288, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=2237","layer":4},{"info":"compute unary expreesion, input=2237, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3105","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3105, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=876","layer":2},{"info":"number node, value=4330","layer":4},{"info":"compute unary expreesion, input=4330, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=876, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=3461","layer":3},{"info":"number node, value=1321","layer":4},{"info":"compute unary expreesion, input=1321, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=231536461","layer":3},{"info":"compute binary expreesion, left_input=3461, right_input=231536461, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":2},{"info":"number node, value=3307","layer":4},{"info":"compute unary expreesion, input=3307, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-9921","layer":3},{"info":"compute unary expreesion, input=-9921, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=inf, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸999⪎↠⫖↰⪸8B4≨(∥⊫⫖↰⪸1365)⊾⪯⋞((≻⋜⫖↰⪸260A)⊊)⨑≵⋬((⩒∊⫖↰⪸1279)*(⫖↰⪸921⨲))↡⊰⫅(⇠(⫖↰⪸1AB7↬⩅∪))=NaN","reverse_text":"NaN=⫖↰⪸999⪎↠⫖↰⪸8B4≨(∥⊫⫖↰⪸1365)⊾⪯⋞((≻⋜⫖↰⪸260A)⊊)⨑≵⋬((⩒∊⫖↰⪸1279)*(⫖↰⪸921⨲))↡⊰⫅(⇠(⫖↰⪸1AB7↬⩅∪))","cot":[{"info":"⫖↰⪸999⪎↠⫖↰⪸8B4=⫖↰⪸114","layer":3},{"info":"∥⊫⫖↰⪸1365=⫖↰⪸1969","layer":3},{"info":"⫖↰⪸114≨⫖↰⪸1969=⫖↰⪸610","layer":2},{"info":"≻⋜⫖↰⪸260A=NaN","layer":3},{"info":"NaN⊊=NaN","layer":2},{"info":"⫖↰⪸610⊾⪯⋞NaN=NaN","layer":1},{"info":"⩒∊⫖↰⪸1279=⫖↰⪸2005","layer":3},{"info":"⫖↰⪸921⨲=⫖↰⪸6565B011","layer":3},{"info":"⫖↰⪸2005*⫖↰⪸6565B011=Inf","layer":2},{"info":"⫖↰⪸1AB7↬⩅∪=⫖↰⪸-58A9","layer":3},{"info":"⇠⫖↰⪸-58A9=⫖↰⪸0","layer":2},{"info":"Inf↡⊰⫅⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN⨑≵⋬⫖↰⪸0=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"⩰(($1110$⫿)⨘)∋($4036$⪭$2674$≳⇉($1551$⨑≵⋬$2869$))","expression":"⩰((⫖↰⪸786⫿)⨘)∋(⫖↰⪸2404⪭⫖↰⪸166A≳⇉(⫖↰⪸A93⨑≵⋬⫖↰⪸17B1))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23155,"operation_count":7,"complexity_ratio":3307.8571428571427,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1110,"base":12}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4036,"base":12},"right_expr":{"type":"numeric_atoms","value":2674,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1551,"base":12},"right_expr":{"type":"numeric_atoms","value":2869,"base":12}}}}},"used_operators":["WkeUrDK8WX","ukq6epAj5P","ljcfZBUpm8","9tKT6PmtkH","V0kx6qeWkN","j9kHMeSvPp","XnXgA4xnOs"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","COABgblf1C","xUOZtlo3hN","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⫖↰⪸1B100","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1110","layer":3},{"info":"compute unary expreesion, input=1110, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-8545","layer":2},{"info":"number node, value=4036","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=4036, right_input=2674, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1551","layer":4},{"info":"number node, value=2869","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=2869, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-10949","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-10949, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8545, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-20444","layer":1},{"info":"compute unary expreesion, input=-20444, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=39888","layer":0}],"base":12,"result_base":12,"text":"⩰((⫖↰⪸786⫿)⨘)∋(⫖↰⪸2404⪭⫖↰⪸166A≳⇉(⫖↰⪸A93⨑≵⋬⫖↰⪸17B1))=⫖↰⪸1B100","reverse_text":"⫖↰⪸1B100=⩰((⫖↰⪸786⫿)⨘)∋(⫖↰⪸2404⪭⫖↰⪸166A≳⇉(⫖↰⪸A93⨑≵⋬⫖↰⪸17B1))","cot":[{"info":"⫖↰⪸786⫿=⫖↰⪸786","layer":3},{"info":"⫖↰⪸786⨘=⫖↰⪸-4B41","layer":2},{"info":"⫖↰⪸2404⪭⫖↰⪸166A=⫖↰⪸5","layer":3},{"info":"⫖↰⪸A93⨑≵⋬⫖↰⪸17B1=⫖↰⪸-6405","layer":3},{"info":"⫖↰⪸5≳⇉⫖↰⪸-6405=NaN","layer":2},{"info":"⫖↰⪸-4B41∋NaN=⫖↰⪸-B9B8","layer":1},{"info":"⩰⫖↰⪸-B9B8=⫖↰⪸1B100","layer":0}]}
{"id":651,"expression_no_base_symbol":"(($1227$⋣⋖$2117$∽$1014$↬$3788$)⫒⫫(↓⇌($7096$⊉↱≁$3681$)))↹⊜(⇋↷(⊆⋠$6873$))⪎↠(($4421$↓⨍⋜)⋥⋵⩄($5713$⩁⩘$4649$))","expression":"((⫖↰⪸863⋣⋖⫖↰⪸1285∽⫖↰⪸706↬⫖↰⪸2238)⫒⫫(↓⇌(⫖↰⪸4134⊉↱≁⫖↰⪸2169)))↹⊜(⇋↷(⊆⋠⫖↰⪸3B89))⪎↠((⫖↰⪸2685↓⨍⋜)⋥⋵⩄(⫖↰⪸3381⩁⩘⫖↰⪸2835))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":430,"operation_count":13,"complexity_ratio":33.07692307692308,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1227,"base":12},"right_expr":{"type":"numeric_atoms","value":2117,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":3788,"base":12}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7096,"base":12},"right_expr":{"type":"numeric_atoms","value":3681,"base":12}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":6873,"base":12}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":4421,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5713,"base":12},"right_expr":{"type":"numeric_atoms","value":4649,"base":12}}}}},"used_operators":["9bazX3JMtO","6Ko8hGgeMq","y4ImoPnbV5","J0M6qkBnIM","B5M0gjZbta","PxpmPgHHJV","w2P8NbNXyL","3tVxb0NHM4","SWo3A1KBJH","EBhcHTkKd8","7t3wd0Fuz7","3DVzLFNsE9","gub5Cegaqo"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rGHVDoGpnC","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1227","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=2117, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1227","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=3788, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1227, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=7096","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=7096, right_input=3681, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=48822","layer":3},{"info":"compute unary expreesion, input=48822, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=48822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=48822, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=6873","layer":4},{"info":"compute unary expreesion, input=6873, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=0","layer":2},{"info":"number node, value=4421","layer":4},{"info":"compute unary expreesion, input=4421, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=5713","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=5713, right_input=4649, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=19544","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=19544, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸863⋣⋖⫖↰⪸1285∽⫖↰⪸706↬⫖↰⪸2238)⫒⫫(↓⇌(⫖↰⪸4134⊉↱≁⫖↰⪸2169)))↹⊜(⇋↷(⊆⋠⫖↰⪸3B89))⪎↠((⫖↰⪸2685↓⨍⋜)⋥⋵⩄(⫖↰⪸3381⩁⩘⫖↰⪸2835))=NaN","reverse_text":"NaN=((⫖↰⪸863⋣⋖⫖↰⪸1285∽⫖↰⪸706↬⫖↰⪸2238)⫒⫫(↓⇌(⫖↰⪸4134⊉↱≁⫖↰⪸2169)))↹⊜(⇋↷(⊆⋠⫖↰⪸3B89))⪎↠((⫖↰⪸2685↓⨍⋜)⋥⋵⩄(⫖↰⪸3381⩁⩘⫖↰⪸2835))","cot":[{"info":"⫖↰⪸863⋣⋖⫖↰⪸1285=⫖↰⪸863","layer":3},{"info":"⫖↰⪸706↬⫖↰⪸2238=NaN","layer":3},{"info":"⫖↰⪸863∽NaN=NaN","layer":2},{"info":"⫖↰⪸4134⊉↱≁⫖↰⪸2169=⫖↰⪸24306","layer":3},{"info":"↓⇌⫖↰⪸24306=⫖↰⪸24306","layer":2},{"info":"NaN⫒⫫⫖↰⪸24306=NaN","layer":1},{"info":"⊆⋠⫖↰⪸3B89=⫖↰⪸0","layer":3},{"info":"⇋↷⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2685↓⨍⋜=⫖↰⪸3992","layer":3},{"info":"⫖↰⪸3381⩁⩘⫖↰⪸2835=⫖↰⪸B388","layer":3},{"info":"⫖↰⪸3992⋥⋵⩄⫖↰⪸B388=⫖↰⪸95","layer":2},{"info":"⫖↰⪸0⪎↠⫖↰⪸95=⫖↰⪸604","layer":1},{"info":"NaN↹⊜⫖↰⪸604=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"($1076$⩌⋺$7174$⫡⨏(∟⋨$1757$))∷($8317$⪉⨛$4664$)⊋$5896$∓⋝$5829$∖(⋗⩴⪓($2862$≌$2087$⫸⊐(↪⫪⫘$1466$)))","expression":"(⫖↰⪸758⩌⋺⫖↰⪸419A⫡⨏(∟⋨⫖↰⪸1025))∷(⫖↰⪸4991⪉⨛⫖↰⪸2848)⊋⫖↰⪸34B4∓⋝⫖↰⪸3459∖(⋗⩴⪓(⫖↰⪸17A6≌⫖↰⪸125B⫸⊐(↪⫪⫘⫖↰⪸A22)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4446,"operation_count":12,"complexity_ratio":370.5,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1076,"base":12},"right_expr":{"type":"numeric_atoms","value":7174,"base":12}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1757,"base":12}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8317,"base":12},"right_expr":{"type":"numeric_atoms","value":4664,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5896,"base":12},"right_expr":{"type":"numeric_atoms","value":5829,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2862,"base":12},"right_expr":{"type":"numeric_atoms","value":2087,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1466,"base":12}}}}},"used_operators":["tXD093vOjl","D3AQDKkPcf","QMFrweE19q","g7Hmc5v1ko","ctOc4cKSDt","W4tP9CfskL","EWw2JM7wp4","PoHhknlbAi","nOKPl9n5zu","mqXw5SEYmG","lyWz822IDG","9dWsAM3GFt"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","tmPS8pqC7x","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"number node, value=7174","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=7174, 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=-8371","layer":3},{"info":"number node, value=1757","layer":4},{"info":"compute unary expreesion, input=1757, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1273","layer":3},{"info":"compute binary expreesion, left_input=-8371, right_input=-1273, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-43618","layer":2},{"info":"number node, value=8317","layer":4},{"info":"number node, value=4664","layer":4},{"info":"compute binary expreesion, left_input=8317, right_input=4664, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=20502","layer":3},{"info":"number node, value=5896","layer":4},{"info":"number node, value=5829","layer":4},{"info":"compute binary expreesion, left_input=5896, right_input=5829, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=20502, right_input=67, 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=-4114","layer":2},{"info":"compute binary expreesion, left_input=-43618, right_input=-4114, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=42824","layer":1},{"info":"number node, value=2862","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=2087, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=42824, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸758⩌⋺⫖↰⪸419A⫡⨏(∟⋨⫖↰⪸1025))∷(⫖↰⪸4991⪉⨛⫖↰⪸2848)⊋⫖↰⪸34B4∓⋝⫖↰⪸3459∖(⋗⩴⪓(⫖↰⪸17A6≌⫖↰⪸125B⫸⊐(↪⫪⫘⫖↰⪸A22)))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸758⩌⋺⫖↰⪸419A⫡⨏(∟⋨⫖↰⪸1025))∷(⫖↰⪸4991⪉⨛⫖↰⪸2848)⊋⫖↰⪸34B4∓⋝⫖↰⪸3459∖(⋗⩴⪓(⫖↰⪸17A6≌⫖↰⪸125B⫸⊐(↪⫪⫘⫖↰⪸A22)))","cot":[{"info":"⫖↰⪸758⩌⋺⫖↰⪸419A=⫖↰⪸-4A17","layer":3},{"info":"∟⋨⫖↰⪸1025=⫖↰⪸-8A1","layer":3},{"info":"⫖↰⪸-4A17⫡⨏⫖↰⪸-8A1=⫖↰⪸-212AA","layer":2},{"info":"⫖↰⪸4991⪉⨛⫖↰⪸2848=⫖↰⪸BA46","layer":3},{"info":"⫖↰⪸34B4∓⋝⫖↰⪸3459=⫖↰⪸57","layer":3},{"info":"⫖↰⪸BA46⊋⫖↰⪸57=⫖↰⪸-246A","layer":2},{"info":"⫖↰⪸-212AA∷⫖↰⪸-246A=⫖↰⪸20948","layer":1},{"info":"⫖↰⪸17A6≌⫖↰⪸125B=NaN","layer":3},{"info":"↪⫪⫘⫖↰⪸A22=⫖↰⪸18","layer":3},{"info":"NaN⫸⊐⫖↰⪸18=NaN","layer":2},{"info":"⋗⩴⪓NaN=NaN","layer":1},{"info":"⫖↰⪸20948∖NaN=⫖↰⪸0","layer":0}]}
{"id":653,"expression_no_base_symbol":"($2905$≌$1162$∠↢$4232$⫰⋱$5933$∕⩚$1314$↢$2355$⊨($2621$↡⊰⫅$2482$))⪢(↥($3836$⫃⨇$5605$))⇡⇂($4994$≠≀$1279$↙$2580$⇍⊗$4743$)","expression":"(⫖↰⪸1821≌⫖↰⪸80A∠↢⫖↰⪸2548⫰⋱⫖↰⪸3525∕⩚⫖↰⪸916↢⫖↰⪸1443⊨(⫖↰⪸1625↡⊰⫅⫖↰⪸152A))⪢(↥(⫖↰⪸2278⫃⨇⫖↰⪸32B1))⇡⇂(⫖↰⪸2A82≠≀⫖↰⪸8A7↙⫖↰⪸15B0⇍⊗⫖↰⪸28B3)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":112304,"operation_count":14,"complexity_ratio":8021.714285714285,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2905,"base":12},"right_expr":{"type":"numeric_atoms","value":1162,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4232,"base":12},"right_expr":{"type":"numeric_atoms","value":5933,"base":12}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1314,"base":12},"right_expr":{"type":"numeric_atoms","value":2355,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2621,"base":12},"right_expr":{"type":"numeric_atoms","value":2482,"base":12}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3836,"base":12},"right_expr":{"type":"numeric_atoms","value":5605,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4994,"base":12},"right_expr":{"type":"numeric_atoms","value":1279,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2580,"base":12},"right_expr":{"type":"numeric_atoms","value":4743,"base":12}}}}},"used_operators":["dWAJyo7jo9","z9ffQ9n5Zr","KbjG8mgYpV","lyWz822IDG","6o9Blt3TJ6","vg4gO5BX6G","WR6HLWljOP","VCtxkLNOzz","UMwdvZNt44","A8NUZmVepG","09Ly4LVMIf","yyfyN0ffXY","IwW236VD4Y","5uvYHDjeKN"],"dependent_operators":["k8jYdgA6NY","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","k8jYdgA6NY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2905","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=1162, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=4232","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=5933, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4199","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4199, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=1314","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=2355, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=830","layer":3},{"info":"number node, value=2621","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=2482, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4964","layer":3},{"info":"compute binary expreesion, left_input=830, right_input=4964, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=4351","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4351, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":1},{"info":"number node, value=3836","layer":4},{"info":"number node, value=5605","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=5605, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-22452","layer":3},{"info":"compute unary expreesion, input=-22452, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":2},{"info":"number node, value=4994","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=4994, right_input=1279, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9682","layer":3},{"info":"number node, value=2580","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=4743, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-9682, right_input=-244, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9682","layer":2},{"info":"compute binary expreesion, left_input=39, right_input=-9682, 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=-42","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":12,"result_base":12,"text":"(⫖↰⪸1821≌⫖↰⪸80A∠↢⫖↰⪸2548⫰⋱⫖↰⪸3525∕⩚⫖↰⪸916↢⫖↰⪸1443⊨(⫖↰⪸1625↡⊰⫅⫖↰⪸152A))⪢(↥(⫖↰⪸2278⫃⨇⫖↰⪸32B1))⇡⇂(⫖↰⪸2A82≠≀⫖↰⪸8A7↙⫖↰⪸15B0⇍⊗⫖↰⪸28B3)=NaN","reverse_text":"NaN=(⫖↰⪸1821≌⫖↰⪸80A∠↢⫖↰⪸2548⫰⋱⫖↰⪸3525∕⩚⫖↰⪸916↢⫖↰⪸1443⊨(⫖↰⪸1625↡⊰⫅⫖↰⪸152A))⪢(↥(⫖↰⪸2278⫃⨇⫖↰⪸32B1))⇡⇂(⫖↰⪸2A82≠≀⫖↰⪸8A7↙⫖↰⪸15B0⇍⊗⫖↰⪸28B3)","cot":[{"info":"⫖↰⪸1821≌⫖↰⪸80A=NaN","layer":3},{"info":"⫖↰⪸2548⫰⋱⫖↰⪸3525=⫖↰⪸-251B","layer":3},{"info":"NaN∠↢⫖↰⪸-251B=NaN","layer":2},{"info":"⫖↰⪸916↢⫖↰⪸1443=⫖↰⪸592","layer":3},{"info":"⫖↰⪸1625↡⊰⫅⫖↰⪸152A=⫖↰⪸2A58","layer":3},{"info":"⫖↰⪸592⊨⫖↰⪸2A58=⫖↰⪸2627","layer":2},{"info":"NaN∕⩚⫖↰⪸2627=NaN","layer":1},{"info":"⫖↰⪸2278⫃⨇⫖↰⪸32B1=⫖↰⪸-10BB0","layer":3},{"info":"↥⫖↰⪸-10BB0=⫖↰⪸33","layer":2},{"info":"⫖↰⪸2A82≠≀⫖↰⪸8A7=⫖↰⪸-572A","layer":3},{"info":"⫖↰⪸15B0⇍⊗⫖↰⪸28B3=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸-572A↙⫖↰⪸-184=⫖↰⪸-572A","layer":2},{"info":"⫖↰⪸33⇡⇂⫖↰⪸-572A=⫖↰⪸-36","layer":1},{"info":"NaN⪢⫖↰⪸-36=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"(($1501$⩢≌)⩍⋽⫝̸$3816$⨐$6789$)⇻⋧≁((≇⪴$1106$)≀⫉$1030$⫁$1368$)⫁⪎(($1293$⩹$1488$)∘$1172$⪃⊛⇣$3605$⩎⪣⊞)","expression":"((⫖↰⪸A51⩢≌)⩍⋽⫝̸⫖↰⪸2260⨐⫖↰⪸3B19)⇻⋧≁((≇⪴⫖↰⪸782)≀⫉⫖↰⪸71A⫁⫖↰⪸960)⫁⪎((⫖↰⪸8B9⩹⫖↰⪸A40)∘⫖↰⪸818⪃⊛⇣⫖↰⪸2105⩎⪣⊞)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49986,"operation_count":12,"complexity_ratio":4165.5,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1501,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3816,"base":12},"right_expr":{"type":"numeric_atoms","value":6789,"base":12}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1106,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1030,"base":12},"right_expr":{"type":"numeric_atoms","value":1368,"base":12}}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1293,"base":12},"right_expr":{"type":"numeric_atoms","value":1488,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1172,"base":12},"right_expr":{"type":"numeric_atoms","value":3605,"base":12}}}}},"used_operators":["xRrnTEsQ6j","jCPkEVoL5K","BiWNJpBvwn","D617RFjZIq","Noe24qw2ks","oZj3VtZNQx","zoVPnxeHJ3","0ajvFaJAv0","waWucp1uQ4","Z5m6OM72h2","2Wsdkap16l","rrgAzCduG9"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Ph9nP6C5qx","xUOZtlo3hN","hTbEZDJLEm","o20kRiQErp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","mp7IySMOzn","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⫖↰⪸-3847","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1501","layer":4},{"info":"compute unary expreesion, input=1501, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=3816","layer":4},{"info":"number node, value=6789","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=6789, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7632","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-7632, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7272","layer":2},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1978","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1368, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1978, right_input=160, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=7272, right_input=2822, 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=1293","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=1488, 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=1486","layer":3},{"info":"number node, value=1172","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=3605, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1486, right_input=1234, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2972","layer":2},{"info":"compute unary expreesion, input=2972, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=5944","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=5944, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-6391","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A51⩢≌)⩍⋽⫝̸⫖↰⪸2260⨐⫖↰⪸3B19)⇻⋧≁((≇⪴⫖↰⪸782)≀⫉⫖↰⪸71A⫁⫖↰⪸960)⫁⪎((⫖↰⪸8B9⩹⫖↰⪸A40)∘⫖↰⪸818⪃⊛⇣⫖↰⪸2105⩎⪣⊞)=⫖↰⪸-3847","reverse_text":"⫖↰⪸-3847=((⫖↰⪸A51⩢≌)⩍⋽⫝̸⫖↰⪸2260⨐⫖↰⪸3B19)⇻⋧≁((≇⪴⫖↰⪸782)≀⫉⫖↰⪸71A⫁⫖↰⪸960)⫁⪎((⫖↰⪸8B9⩹⫖↰⪸A40)∘⫖↰⪸818⪃⊛⇣⫖↰⪸2105⩎⪣⊞)","cot":[{"info":"⫖↰⪸A51⩢≌=⫖↰⪸95","layer":3},{"info":"⫖↰⪸2260⨐⫖↰⪸3B19=⫖↰⪸-4500","layer":3},{"info":"⫖↰⪸95⩍⋽⫝̸⫖↰⪸-4500=⫖↰⪸4260","layer":2},{"info":"≇⪴⫖↰⪸782=⫖↰⪸-118A","layer":3},{"info":"⫖↰⪸71A⫁⫖↰⪸960=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-118A≀⫉⫖↰⪸114=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸4260⇻⋧≁⫖↰⪸1772=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸8B9⩹⫖↰⪸A40=⫖↰⪸A3A","layer":3},{"info":"⫖↰⪸818⪃⊛⇣⫖↰⪸2105=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸A3A∘⫖↰⪸86A=⫖↰⪸1878","layer":2},{"info":"⫖↰⪸1878⩎⪣⊞=⫖↰⪸3534","layer":1},{"info":"⫖↰⪸-313⫁⪎⫖↰⪸3534=⫖↰⪸-3847","layer":0}]}
{"id":655,"expression_no_base_symbol":"(⨵≀≌$5344$⫣⪄⊒$2855$)∋((∤↝$3156$)⪄(⪝⪂⫅$5838$))⩘","expression":"(⨵≀≌⫖↰⪸3114⫣⪄⊒⫖↰⪸179B)∋((∤↝⫖↰⪸19B0)⪄(⪝⪂⫅⫖↰⪸3466))⩘","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7384,"operation_count":7,"complexity_ratio":1054.857142857143,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5344,"base":12},"right_expr":{"type":"numeric_atoms","value":2855,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3156,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5838,"base":12}}}}},"used_operators":["wvHyciQT5X","ukq6epAj5P","srAu1WTS94","RabNbG55vr","SUmda5xLS4","3UMq87Qwqg","XTarYq4gQB"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5344","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=5344, right_input=2855, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6954","layer":3},{"info":"compute unary expreesion, input=-6954, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=48358116","layer":2},{"info":"number node, value=3156","layer":4},{"info":"compute unary expreesion, input=3156, 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=3156","layer":3},{"info":"number node, value=5838","layer":4},{"info":"compute unary expreesion, input=5838, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-858186","layer":3},{"info":"compute binary expreesion, left_input=3156, right_input=-858186, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=2969567","layer":2},{"info":"compute binary expreesion, left_input=48358116, right_input=2969567, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⨵≀≌⫖↰⪸3114⫣⪄⊒⫖↰⪸179B)∋((∤↝⫖↰⪸19B0)⪄(⪝⪂⫅⫖↰⪸3466))⩘=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⨵≀≌⫖↰⪸3114⫣⪄⊒⫖↰⪸179B)∋((∤↝⫖↰⪸19B0)⪄(⪝⪂⫅⫖↰⪸3466))⩘","cot":[{"info":"⫖↰⪸3114⫣⪄⊒⫖↰⪸179B=⫖↰⪸-4036","layer":3},{"info":"⨵≀≌⫖↰⪸-4036=⫖↰⪸14241030","layer":2},{"info":"∤↝⫖↰⪸19B0=⫖↰⪸19B0","layer":3},{"info":"⪝⪂⫅⫖↰⪸3466=⫖↰⪸-354776","layer":3},{"info":"⫖↰⪸19B0⪄⫖↰⪸-354776=⫖↰⪸BB25BB","layer":2},{"info":"⫖↰⪸14241030∋⫖↰⪸BB25BB=Inf","layer":1},{"info":"Inf⩘=⫖↰⪸57","layer":0}]}
{"id":656,"expression_no_base_symbol":"((↨⩢⫨$3312$)⊧↖)⊢(↴⪽⋼$1969$⫞⩸⩒$2328$)⨚⇆((⩪∧⨌$5569$)≁($1486$⪘⫢$1676$))⪃⊛⇣(≀↧⇸$1283$⪢$4039$)","expression":"((↨⩢⫨⫖↰⪸1B00)⊧↖)⊢(↴⪽⋼⫖↰⪸1181⫞⩸⩒⫖↰⪸1420)⨚⇆((⩪∧⨌⫖↰⪸3281)≁(⫖↰⪸A3A⪘⫢⫖↰⪸B78))⪃⊛⇣(≀↧⇸⫖↰⪸8AB⪢⫖↰⪸2407)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43395,"operation_count":12,"complexity_ratio":3616.25,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3312,"base":12}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1969,"base":12},"right_expr":{"type":"numeric_atoms","value":2328,"base":12}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":5569,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1486,"base":12},"right_expr":{"type":"numeric_atoms","value":1676,"base":12}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1283,"base":12},"right_expr":{"type":"numeric_atoms","value":4039,"base":12}}}}},"used_operators":["lwHaAYXP2r","5twsqlHp2o","EKiFHuOFxO","Z5CJsN7DuW","5TUYCnJO6w","XGcMNugi78","rrgAzCduG9","8N2wDY1A35","6iOiAJX1F8","oacrs7FA3X","ljTHtUsqzn","dWAJyo7jo9"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XPYlsWDdGa","23Mk6UjR3U","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3312","layer":4},{"info":"compute unary expreesion, input=3312, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=-2872","layer":2},{"info":"number node, value=1969","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=2328, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2328","layer":3},{"info":"compute unary expreesion, input=2328, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2328","layer":2},{"info":"compute binary expreesion, left_input=-2872, right_input=2328, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=5500","layer":1},{"info":"number node, value=5569","layer":4},{"info":"compute unary expreesion, input=5569, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=55690","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1676, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2848","layer":3},{"info":"compute binary expreesion, left_input=55690, right_input=2848, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=55151","layer":2},{"info":"number node, value=1283","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=4039, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=55151, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=5500, right_input=1234, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↨⩢⫨⫖↰⪸1B00)⊧↖)⊢(↴⪽⋼⫖↰⪸1181⫞⩸⩒⫖↰⪸1420)⨚⇆((⩪∧⨌⫖↰⪸3281)≁(⫖↰⪸A3A⪘⫢⫖↰⪸B78))⪃⊛⇣(≀↧⇸⫖↰⪸8AB⪢⫖↰⪸2407)=NaN","reverse_text":"NaN=((↨⩢⫨⫖↰⪸1B00)⊧↖)⊢(↴⪽⋼⫖↰⪸1181⫞⩸⩒⫖↰⪸1420)⨚⇆((⩪∧⨌⫖↰⪸3281)≁(⫖↰⪸A3A⪘⫢⫖↰⪸B78))⪃⊛⇣(≀↧⇸⫖↰⪸8AB⪢⫖↰⪸2407)","cot":[{"info":"↨⩢⫨⫖↰⪸1B00=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊧↖=⫖↰⪸-17B4","layer":2},{"info":"⫖↰⪸1181⫞⩸⩒⫖↰⪸1420=⫖↰⪸1420","layer":3},{"info":"↴⪽⋼⫖↰⪸1420=⫖↰⪸1420","layer":2},{"info":"⫖↰⪸-17B4⊢⫖↰⪸1420=⫖↰⪸3224","layer":1},{"info":"⩪∧⨌⫖↰⪸3281=⫖↰⪸2828A","layer":3},{"info":"⫖↰⪸A3A⪘⫢⫖↰⪸B78=⫖↰⪸1794","layer":3},{"info":"⫖↰⪸2828A≁⫖↰⪸1794=⫖↰⪸27ABB","layer":2},{"info":"⫖↰⪸8AB⪢⫖↰⪸2407=NaN","layer":3},{"info":"≀↧⇸NaN=NaN","layer":2},{"info":"⫖↰⪸27ABB⪃⊛⇣NaN=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸3224⨚⇆⫖↰⪸86A=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"⨣⨃⇪(↡(↸⊣(⋠∜$1283$)))","expression":"⨣⨃⇪(↡(↸⊣(⋠∜⫖↰⪸8AB)))","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":67,"operation_count":4,"complexity_ratio":16.75,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1283,"base":12}}}}},"used_operators":["AcOhelriW5","MXaNJeIAZ3","wztAlM01eG","ZJpFhNJr3x"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"⫖↰⪸991","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1283","layer":4},{"info":"compute unary expreesion, input=1283, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7416","layer":3},{"info":"compute unary expreesion, input=7416, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-7129","layer":2},{"info":"compute unary expreesion, input=-7129, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-64161","layer":1},{"info":"compute unary expreesion, input=-64161, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":12,"result_base":12,"text":"⨣⨃⇪(↡(↸⊣(⋠∜⫖↰⪸8AB)))=⫖↰⪸991","reverse_text":"⫖↰⪸991=⨣⨃⇪(↡(↸⊣(⋠∜⫖↰⪸8AB)))","cot":[{"info":"⋠∜⫖↰⪸8AB=⫖↰⪸4360","layer":3},{"info":"↸⊣⫖↰⪸4360=⫖↰⪸-4161","layer":2},{"info":"↡⫖↰⪸-4161=⫖↰⪸-31169","layer":1},{"info":"⨣⨃⇪⫖↰⪸-31169=⫖↰⪸991","layer":0}]}
{"id":658,"expression_no_base_symbol":"≇⪴((⩎⋉($4701$≧⫂∧$1006$))⩟)","expression":"≇⪴((⩎⋉(⫖↰⪸2879≧⫂∧⫖↰⪸6BA))⩟)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":87,"operation_count":4,"complexity_ratio":21.75,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4701,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}}}}},"used_operators":["zoVPnxeHJ3","fOIeswaMU4","FlXk3pOYe8","Ph9nP6C5qx"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-104950","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4701","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=1006, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=533","layer":3},{"info":"compute unary expreesion, input=533, 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=7278","layer":2},{"info":"compute unary expreesion, input=7278, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-64275","layer":1},{"info":"compute unary expreesion, input=-64275, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-257100","layer":0}],"base":12,"result_base":12,"text":"≇⪴((⩎⋉(⫖↰⪸2879≧⫂∧⫖↰⪸6BA))⩟)=⫖↰⪸-104950","reverse_text":"⫖↰⪸-104950=≇⪴((⩎⋉(⫖↰⪸2879≧⫂∧⫖↰⪸6BA))⩟)","cot":[{"info":"⫖↰⪸2879≧⫂∧⫖↰⪸6BA=⫖↰⪸385","layer":3},{"info":"⩎⋉⫖↰⪸385=⫖↰⪸4266","layer":2},{"info":"⫖↰⪸4266⩟=⫖↰⪸-31243","layer":1},{"info":"≇⪴⫖↰⪸-31243=⫖↰⪸-104950","layer":0}]}
{"id":659,"expression_no_base_symbol":"((⨵≀≌$2087$⇻⋧≁$4656$)⇮⋭(∜⨇($1878$≳⇉$3654$)))⨘⋶⪀","expression":"((⨵≀≌⫖↰⪸125B⇻⋧≁⫖↰⪸2840)⇮⋭(∜⨇(⫖↰⪸1106≳⇉⫖↰⪸2146)))⨘⋶⪀","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":237120203,"operation_count":6,"complexity_ratio":39520033.833333336,"tree":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2087,"base":12},"right_expr":{"type":"numeric_atoms","value":4656,"base":12}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1878,"base":12},"right_expr":{"type":"numeric_atoms","value":3654,"base":12}}}}},"used_operators":["XVKwrhznBb","vkpjKywKVM","srAu1WTS94","jCPkEVoL5K","uFPyJr306J","V0kx6qeWkN"],"dependent_operators":["TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2087","layer":4},{"info":"number node, value=4656","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=4656, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=199809","layer":2},{"info":"number node, value=1878","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=3654, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=199809, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨵≀≌⫖↰⪸125B⇻⋧≁⫖↰⪸2840)⇮⋭(∜⨇(⫖↰⪸1106≳⇉⫖↰⪸2146)))⨘⋶⪀=NaN","reverse_text":"NaN=((⨵≀≌⫖↰⪸125B⇻⋧≁⫖↰⪸2840)⇮⋭(∜⨇(⫖↰⪸1106≳⇉⫖↰⪸2146)))⨘⋶⪀","cot":[{"info":"⫖↰⪸125B⇻⋧≁⫖↰⪸2840=⫖↰⪸-313","layer":3},{"info":"⨵≀≌⫖↰⪸-313=⫖↰⪸97769","layer":2},{"info":"⫖↰⪸1106≳⇉⫖↰⪸2146=NaN","layer":3},{"info":"∜⨇NaN=NaN","layer":2},{"info":"⫖↰⪸97769⇮⋭NaN=NaN","layer":1},{"info":"NaN⨘⋶⪀=NaN","layer":0}]}
{"id":660,"expression_no_base_symbol":"⋣((($1795$⊔$1668$)≝⊰⇂)∛($1472$⊴$4830$)⨥⫆($2804$⊍⩺⋍$2643$))","expression":"⋣(((⫖↰⪸1057⊔⫖↰⪸B70)≝⊰⇂)∛(⫖↰⪸A28⊴⫖↰⪸2966)⨥⫆(⫖↰⪸1758⊍⩺⋍⫖↰⪸1643))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6631,"operation_count":7,"complexity_ratio":947.2857142857143,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1795,"base":12},"right_expr":{"type":"numeric_atoms","value":1668,"base":12}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1472,"base":12},"right_expr":{"type":"numeric_atoms","value":4830,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2804,"base":12},"right_expr":{"type":"numeric_atoms","value":2643,"base":12}}}}},"used_operators":["zQWRhDnn8F","w2537kitQq","htSmYCowi5","E4l6HwMY31","yXekIHxTD4","Nsiff2A1zJ","OXDGMFPWZM"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","DlLNRPXxWL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⫖↰⪸-B417","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=1668, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9530","layer":3},{"info":"compute unary expreesion, input=9530, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":2},{"info":"number node, value=1472","layer":4},{"info":"number node, value=4830","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=4830, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2804","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=2643, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-19603","layer":0}],"base":12,"result_base":12,"text":"⋣(((⫖↰⪸1057⊔⫖↰⪸B70)≝⊰⇂)∛(⫖↰⪸A28⊴⫖↰⪸2966)⨥⫆(⫖↰⪸1758⊍⩺⋍⫖↰⪸1643))=⫖↰⪸-B417","reverse_text":"⫖↰⪸-B417=⋣(((⫖↰⪸1057⊔⫖↰⪸B70)≝⊰⇂)∛(⫖↰⪸A28⊴⫖↰⪸2966)⨥⫆(⫖↰⪸1758⊍⩺⋍⫖↰⪸1643))","cot":[{"info":"⫖↰⪸1057⊔⫖↰⪸B70=⫖↰⪸5622","layer":3},{"info":"⫖↰⪸5622≝⊰⇂=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A28⊴⫖↰⪸2966=NaN","layer":3},{"info":"⫖↰⪸1758⊍⩺⋍⫖↰⪸1643=NaN","layer":3},{"info":"NaN⨥⫆NaN=NaN","layer":2},{"info":"⫖↰⪸0∛NaN=⫖↰⪸57","layer":1},{"info":"⋣⫖↰⪸57=⫖↰⪸-B417","layer":0}]}
{"id":661,"expression_no_base_symbol":"((⩷⨜⫀($4877$≎⊠⪸$6987$))⪒($4938$⫦⪉$2172$)∳⫺($4356$≃$4007$))⫉⨲⊜((($2246$⨻⩈⩔$1867$)⨻⩈⩔$7799$∘$1737$)⊍)","expression":"((⩷⨜⫀(⫖↰⪸29A5≎⊠⪸⫖↰⪸4063))⪒(⫖↰⪸2A36⫦⪉⫖↰⪸1310)∳⫺(⫖↰⪸2630≃⫖↰⪸239B))⫉⨲⊜(((⫖↰⪸1372⨻⩈⩔⫖↰⪸10B7)⨻⩈⩔⫖↰⪸461B∘⫖↰⪸1009)⊍)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":650,"operation_count":11,"complexity_ratio":59.09090909090909,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4877,"base":12},"right_expr":{"type":"numeric_atoms","value":6987,"base":12}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4938,"base":12},"right_expr":{"type":"numeric_atoms","value":2172,"base":12}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4356,"base":12},"right_expr":{"type":"numeric_atoms","value":4007,"base":12}}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2246,"base":12},"right_expr":{"type":"numeric_atoms","value":1867,"base":12}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":7799,"base":12},"right_expr":{"type":"numeric_atoms","value":1737,"base":12}}}}},"used_operators":["WhqkvtTD3t","f6k1SAg4EE","CDi0ktkjQ4","bJkvcejdHO","AzXXKTstlj","wscyQdcy20","YbVcJGFEVW","3nqY3DE9mg","nEsXyWgiOK","Z5m6OM72h2"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eH2TOUuTDT","rysDP5nf3Z"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4877","layer":4},{"info":"number node, value=6987","layer":4},{"info":"compute binary expreesion, left_input=4877, right_input=6987, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1262670","layer":3},{"info":"compute unary expreesion, input=1262670, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1262397","layer":2},{"info":"number node, value=4938","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=2172, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4976","layer":3},{"info":"number node, value=4356","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=4007, 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=-17464","layer":3},{"info":"compute binary expreesion, left_input=-4976, right_input=-17464, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-1262397, right_input=-260, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1262657","layer":1},{"info":"number node, value=2246","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=1867, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9567","layer":3},{"info":"number node, value=7799","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=7799, right_input=1737, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=15598","layer":3},{"info":"compute binary expreesion, left_input=9567, right_input=15598, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=68135","layer":2},{"info":"compute unary expreesion, input=68135, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=202725","layer":1},{"info":"compute binary expreesion, left_input=1262657, right_input=202725, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⩷⨜⫀(⫖↰⪸29A5≎⊠⪸⫖↰⪸4063))⪒(⫖↰⪸2A36⫦⪉⫖↰⪸1310)∳⫺(⫖↰⪸2630≃⫖↰⪸239B))⫉⨲⊜(((⫖↰⪸1372⨻⩈⩔⫖↰⪸10B7)⨻⩈⩔⫖↰⪸461B∘⫖↰⪸1009)⊍)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⩷⨜⫀(⫖↰⪸29A5≎⊠⪸⫖↰⪸4063))⪒(⫖↰⪸2A36⫦⪉⫖↰⪸1310)∳⫺(⫖↰⪸2630≃⫖↰⪸239B))⫉⨲⊜(((⫖↰⪸1372⨻⩈⩔⫖↰⪸10B7)⨻⩈⩔⫖↰⪸461B∘⫖↰⪸1009)⊍)","cot":[{"info":"⫖↰⪸29A5≎⊠⪸⫖↰⪸4063=⫖↰⪸50A866","layer":3},{"info":"⩷⨜⫀⫖↰⪸50A866=⫖↰⪸-50A679","layer":2},{"info":"⫖↰⪸2A36⫦⪉⫖↰⪸1310=⫖↰⪸-2A68","layer":3},{"info":"⫖↰⪸2630≃⫖↰⪸239B=⫖↰⪸-A134","layer":3},{"info":"⫖↰⪸-2A68∳⫺⫖↰⪸-A134=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸-50A679⪒⫖↰⪸-198=⫖↰⪸50A855","layer":1},{"info":"⫖↰⪸1372⨻⩈⩔⫖↰⪸10B7=⫖↰⪸5653","layer":3},{"info":"⫖↰⪸461B∘⫖↰⪸1009=⫖↰⪸903A","layer":3},{"info":"⫖↰⪸5653⨻⩈⩔⫖↰⪸903A=⫖↰⪸3351B","layer":2},{"info":"⫖↰⪸3351B⊍=⫖↰⪸99399","layer":1},{"info":"⫖↰⪸50A855⫉⨲⊜⫖↰⪸99399=⫖↰⪸0","layer":0}]}
{"id":662,"expression_no_base_symbol":"(-$4443$∥⊢⊲$1270$)⊝⪿⪼(⊲⪭(≅≯⇸$5004$))∪⫐($2990$⪒⊣⊆$5879$⫢⨠($2054$⊀⩕))⩷∴($4857$⇍⊗$4462$)⫁($5732$⩁⩘$4932$)","expression":"(-⫖↰⪸26A3∥⊢⊲⫖↰⪸89A)⊝⪿⪼(⊲⪭(≅≯⇸⫖↰⪸2A90))∪⫐(⫖↰⪸1892⪒⊣⊆⫖↰⪸349B⫢⨠(⫖↰⪸1232⊀⩕))⩷∴(⫖↰⪸2989⇍⊗⫖↰⪸26BA)⫁(⫖↰⪸3398⩁⩘⫖↰⪸2A30)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1533,"operation_count":13,"complexity_ratio":117.92307692307692,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":4443,"base":12},"right_expr":{"type":"numeric_atoms","value":1270,"base":12}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":5004,"base":12}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2990,"base":12},"right_expr":{"type":"numeric_atoms","value":5879,"base":12}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":2054,"base":12}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4857,"base":12},"right_expr":{"type":"numeric_atoms","value":4462,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5732,"base":12},"right_expr":{"type":"numeric_atoms","value":4932,"base":12}}}}},"used_operators":["7YooWSwCyH","3Oe9XWJUTD","t8gj7n24qd","v1UQAVDJRr","k7HXdKtiEU","apS25hmuAe","9FxExcQeMw","xlXykHWxX1","eRqsBgTDFp","r0FS3hW4cC","0ajvFaJAv0","5uvYHDjeKN","gub5Cegaqo"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","i8ToyICDmI","xUOZtlo3hN","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sdazOOVcIp","W4YGzv6Whe","rGHVDoGpnC","nhYeJWJD5X","cHh1gJQ2o6","AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4443","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=1270, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=5004","layer":4},{"info":"compute unary expreesion, input=5004, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=27693","layer":3},{"info":"compute unary expreesion, input=27693, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-27867","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-27867, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":1},{"info":"number node, value=2990","layer":4},{"info":"number node, value=5879","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=5879, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5980","layer":3},{"info":"number node, value=2054","layer":4},{"info":"compute unary expreesion, input=2054, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5980, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=4857","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=4857, right_input=4462, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=5732","layer":4},{"info":"number node, value=4932","layer":4},{"info":"compute binary expreesion, left_input=5732, right_input=4932, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20676","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=20676, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(-⫖↰⪸26A3∥⊢⊲⫖↰⪸89A)⊝⪿⪼(⊲⪭(≅≯⇸⫖↰⪸2A90))∪⫐(⫖↰⪸1892⪒⊣⊆⫖↰⪸349B⫢⨠(⫖↰⪸1232⊀⩕))⩷∴(⫖↰⪸2989⇍⊗⫖↰⪸26BA)⫁(⫖↰⪸3398⩁⩘⫖↰⪸2A30)=NaN","reverse_text":"NaN=(-⫖↰⪸26A3∥⊢⊲⫖↰⪸89A)⊝⪿⪼(⊲⪭(≅≯⇸⫖↰⪸2A90))∪⫐(⫖↰⪸1892⪒⊣⊆⫖↰⪸349B⫢⨠(⫖↰⪸1232⊀⩕))⩷∴(⫖↰⪸2989⇍⊗⫖↰⪸26BA)⫁(⫖↰⪸3398⩁⩘⫖↰⪸2A30)","cot":[{"info":"⫖↰⪸26A3∥⊢⊲⫖↰⪸89A=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"≅≯⇸⫖↰⪸2A90=⫖↰⪸14039","layer":3},{"info":"⊲⪭⫖↰⪸14039=⫖↰⪸-14163","layer":2},{"info":"NaN⊝⪿⪼⫖↰⪸-14163=NaN","layer":1},{"info":"⫖↰⪸1892⪒⊣⊆⫖↰⪸349B=⫖↰⪸3564","layer":3},{"info":"⫖↰⪸1232⊀⩕=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3564⫢⨠⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸2989⇍⊗⫖↰⪸26BA=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸3398⩁⩘⫖↰⪸2A30=⫖↰⪸BB70","layer":3},{"info":"⫖↰⪸-184⫁⫖↰⪸BB70=⫖↰⪸114","layer":2},{"info":"NaN⩷∴⫖↰⪸114=NaN","layer":1},{"info":"NaN∪⫐NaN=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"((↴⪽⋼$5116$)≀⩗∶$8900$≁$5708$)∇⊂⋱($3116$∼$3922$∝$1621$⩧⪆$3160$)⨔≚≋(($5976$≎⊠⪸$2364$⋭≵$2403$⫒⫫$1720$)⪉⨛(⩎⋉$6607$)≌($4511$⫳≱↱$1074$))","expression":"((↴⪽⋼⫖↰⪸2B64)≀⩗∶⫖↰⪸5198≁⫖↰⪸3378)∇⊂⋱(⫖↰⪸1978∼⫖↰⪸232A∝⫖↰⪸B31⩧⪆⫖↰⪸19B4)⨔≚≋((⫖↰⪸3560≎⊠⪸⫖↰⪸1450⋭≵⫖↰⪸1483⫒⫫⫖↰⪸BB4)⪉⨛(⩎⋉⫖↰⪸39A7)≌(⫖↰⪸273B⫳≱↱⫖↰⪸756))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44169,"operation_count":15,"complexity_ratio":2944.6,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":5116,"base":12}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":8900,"base":12},"right_expr":{"type":"numeric_atoms","value":5708,"base":12}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3116,"base":12},"right_expr":{"type":"numeric_atoms","value":3922,"base":12}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1621,"base":12},"right_expr":{"type":"numeric_atoms","value":3160,"base":12}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5976,"base":12},"right_expr":{"type":"numeric_atoms","value":2364,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2403,"base":12},"right_expr":{"type":"numeric_atoms","value":1720,"base":12}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6607,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4511,"base":12},"right_expr":{"type":"numeric_atoms","value":1074,"base":12}}}}},"used_operators":["Z57zeUYC9z","nhYeJWJD5X","8INZBEW696","5TUYCnJO6w","8N2wDY1A35","cTDWOvIxvz","DyGG3AbaNP","Ikt5ks8PT7","EWw2JM7wp4","jBncVCNhdl","bJkvcejdHO","6Ko8hGgeMq","lyWz822IDG","FlXk3pOYe8","ZvLB05nZmT"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5116","layer":4},{"info":"compute unary expreesion, input=5116, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=5116","layer":3},{"info":"number node, value=8900","layer":4},{"info":"number node, value=5708","layer":4},{"info":"compute binary expreesion, left_input=8900, right_input=5708, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=123791","layer":3},{"info":"compute binary expreesion, left_input=5116, right_input=123791, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-72","layer":2},{"info":"number node, value=3116","layer":4},{"info":"number node, value=3922","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=3922, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=3160, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3160, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-72, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=5976","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=5976, right_input=2364, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1547311","layer":3},{"info":"number node, value=2403","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=1720, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1547311, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=6607","layer":4},{"info":"compute unary expreesion, input=6607, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=4511","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=4511, right_input=1074, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-204, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9884","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=9884, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-29236","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-29236, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↴⪽⋼⫖↰⪸2B64)≀⩗∶⫖↰⪸5198≁⫖↰⪸3378)∇⊂⋱(⫖↰⪸1978∼⫖↰⪸232A∝⫖↰⪸B31⩧⪆⫖↰⪸19B4)⨔≚≋((⫖↰⪸3560≎⊠⪸⫖↰⪸1450⋭≵⫖↰⪸1483⫒⫫⫖↰⪸BB4)⪉⨛(⩎⋉⫖↰⪸39A7)≌(⫖↰⪸273B⫳≱↱⫖↰⪸756))=NaN","reverse_text":"NaN=((↴⪽⋼⫖↰⪸2B64)≀⩗∶⫖↰⪸5198≁⫖↰⪸3378)∇⊂⋱(⫖↰⪸1978∼⫖↰⪸232A∝⫖↰⪸B31⩧⪆⫖↰⪸19B4)⨔≚≋((⫖↰⪸3560≎⊠⪸⫖↰⪸1450⋭≵⫖↰⪸1483⫒⫫⫖↰⪸BB4)⪉⨛(⩎⋉⫖↰⪸39A7)≌(⫖↰⪸273B⫳≱↱⫖↰⪸756))","cot":[{"info":"↴⪽⋼⫖↰⪸2B64=⫖↰⪸2B64","layer":3},{"info":"⫖↰⪸5198≁⫖↰⪸3378=⫖↰⪸5B77B","layer":3},{"info":"⫖↰⪸2B64≀⩗∶⫖↰⪸5B77B=⫖↰⪸-60","layer":2},{"info":"⫖↰⪸1978∼⫖↰⪸232A=NaN","layer":3},{"info":"⫖↰⪸B31⩧⪆⫖↰⪸19B4=⫖↰⪸-19B4","layer":3},{"info":"NaN∝⫖↰⪸-19B4=NaN","layer":2},{"info":"⫖↰⪸-60∇⊂⋱NaN=NaN","layer":1},{"info":"⫖↰⪸3560≎⊠⪸⫖↰⪸1450=⫖↰⪸627527","layer":3},{"info":"⫖↰⪸1483⫒⫫⫖↰⪸BB4=NaN","layer":3},{"info":"⫖↰⪸627527⋭≵NaN=⫖↰⪸57","layer":2},{"info":"⩎⋉⫖↰⪸39A7=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸273B⫳≱↱⫖↰⪸756=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸B56≌⫖↰⪸-150=⫖↰⪸5878","layer":2},{"info":"⫖↰⪸57⪉⨛⫖↰⪸5878=⫖↰⪸-14B04","layer":1},{"info":"NaN⨔≚≋⫖↰⪸-14B04=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"((∮$2979$)⋕⪉⪜($1090$⫍⨯↯)⫲)⪛⫼(⊄⩳↩(-$1736$)↳≱($3378$⪨⊡$1942$))","expression":"((∮⫖↰⪸1883)⋕⪉⪜(⫖↰⪸76A⫍⨯↯)⫲)⪛⫼(⊄⩳↩(-⫖↰⪸1008)↳≱(⫖↰⪸1B56⪨⊡⫖↰⪸115A))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":513,"operation_count":9,"complexity_ratio":57.0,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2979,"base":12}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1090,"base":12}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1736,"base":12}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3378,"base":12},"right_expr":{"type":"numeric_atoms","value":1942,"base":12}}}}},"used_operators":["hyuBjUqXlG","9xnGDUPbC6","z6LnFrNh4i","CqXKPLVYql","ZcwmYACASQ","8w2t5hMYqp","JwTKLfZU96","t8gj7n24qd","kuIXHzHcAH"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⫖↰⪸688","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2979","layer":4},{"info":"compute unary expreesion, input=2979, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1057","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1057, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute unary expreesion, input=204, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-69","layer":1},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1736","layer":3},{"info":"number node, value=3378","layer":4},{"info":"number node, value=1942","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=1942, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1736, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-69, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":12,"result_base":12,"text":"((∮⫖↰⪸1883)⋕⪉⪜(⫖↰⪸76A⫍⨯↯)⫲)⪛⫼(⊄⩳↩(-⫖↰⪸1008)↳≱(⫖↰⪸1B56⪨⊡⫖↰⪸115A))=⫖↰⪸688","reverse_text":"⫖↰⪸688=((∮⫖↰⪸1883)⋕⪉⪜(⫖↰⪸76A⫍⨯↯)⫲)⪛⫼(⊄⩳↩(-⫖↰⪸1008)↳≱(⫖↰⪸1B56⪨⊡⫖↰⪸115A))","cot":[{"info":"∮⫖↰⪸1883=⫖↰⪸57","layer":3},{"info":"⫖↰⪸76A⫍⨯↯=⫖↰⪸741","layer":3},{"info":"⫖↰⪸57⋕⪉⪜⫖↰⪸741=⫖↰⪸150","layer":2},{"info":"⫖↰⪸150⫲=⫖↰⪸-59","layer":1},{"info":"-⫖↰⪸1008=⫖↰⪸-1008","layer":3},{"info":"⫖↰⪸1B56⪨⊡⫖↰⪸115A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1008↳≱⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⊄⩳↩⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-59⪛⫼⫖↰⪸0=⫖↰⪸688","layer":0}]}
{"id":665,"expression_no_base_symbol":"(($3863$%$1089$⋷($4409$⊪))∧)⪚(⩒∊(($1548$∖$3168$)⪍↜⋙(⪛⨧$5879$)))","expression":"((⫖↰⪸229B%⫖↰⪸769⋷(⫖↰⪸2675⊪))∧)⪚(⩒∊((⫖↰⪸A90∖⫖↰⪸1A00)⪍↜⋙(⪛⨧⫖↰⪸349B)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":540,"operation_count":9,"complexity_ratio":60.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3863,"base":12},"right_expr":{"type":"numeric_atoms","value":1089,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4409,"base":12}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1548,"base":12},"right_expr":{"type":"numeric_atoms","value":3168,"base":12}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":5879,"base":12}}}}},"used_operators":["HrjLwUk87U","z63VuFQld9","23Mk6UjR3U","k8jYdgA6NY","zVYPLywUTj","qazvmhNBbN","L05ObWFQCd","tXD093vOjl","6NJAcO2OWT"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"⫖↰⪸7B450","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3863","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=3863, right_input=1089, op_id = k8jYdgA6NY binary_op_definition= 'None', output=596","layer":3},{"info":"number node, value=4409","layer":4},{"info":"compute unary expreesion, input=4409, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=596, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-596","layer":2},{"info":"compute unary expreesion, input=-596, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=1548","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=3168, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=5879","layer":4},{"info":"compute unary expreesion, input=5879, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=13159","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13159, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-27101","layer":2},{"info":"compute unary expreesion, input=-27101, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-82576","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-82576, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=164796","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸229B%⫖↰⪸769⋷(⫖↰⪸2675⊪))∧)⪚(⩒∊((⫖↰⪸A90∖⫖↰⪸1A00)⪍↜⋙(⪛⨧⫖↰⪸349B)))=⫖↰⪸7B450","reverse_text":"⫖↰⪸7B450=((⫖↰⪸229B%⫖↰⪸769⋷(⫖↰⪸2675⊪))∧)⪚(⩒∊((⫖↰⪸A90∖⫖↰⪸1A00)⪍↜⋙(⪛⨧⫖↰⪸349B)))","cot":[{"info":"⫖↰⪸229B%⫖↰⪸769=⫖↰⪸418","layer":3},{"info":"⫖↰⪸2675⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸418⋷⫖↰⪸0=⫖↰⪸-418","layer":2},{"info":"⫖↰⪸-418∧=⫖↰⪸0","layer":1},{"info":"⫖↰⪸A90∖⫖↰⪸1A00=⫖↰⪸0","layer":3},{"info":"⪛⨧⫖↰⪸349B=⫖↰⪸7747","layer":3},{"info":"⫖↰⪸0⪍↜⋙⫖↰⪸7747=⫖↰⪸-13825","layer":2},{"info":"⩒∊⫖↰⪸-13825=⫖↰⪸-3B954","layer":1},{"info":"⫖↰⪸0⪚⫖↰⪸-3B954=⫖↰⪸7B450","layer":0}]}
{"id":666,"expression_no_base_symbol":"(($1210$≃$6603$)⨐($5960$⋝⋈⪟$1088$)⊲⩕⊾(∥⊫$1747$⪥$2798$))⋹⋡⊁(⊆⋠((⇾⩊⇾$3411$)⇯⋐))","expression":"((⫖↰⪸84A≃⫖↰⪸39A3)⨐(⫖↰⪸3548⋝⋈⪟⫖↰⪸768)⊲⩕⊾(∥⊫⫖↰⪸1017⪥⫖↰⪸1752))⋹⋡⊁(⊆⋠((⇾⩊⇾⫖↰⪸1B83)⇯⋐))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62753,"operation_count":10,"complexity_ratio":6275.3,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1210,"base":12},"right_expr":{"type":"numeric_atoms","value":6603,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5960,"base":12},"right_expr":{"type":"numeric_atoms","value":1088,"base":12}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1747,"base":12},"right_expr":{"type":"numeric_atoms","value":2798,"base":12}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3411,"base":12}}}}},"used_operators":["As8RqfVLgs","DmTXOeWf9t","Noe24qw2ks","YbVcJGFEVW","2DDjHMKMc0","P8v4zCKN1o","QbnwKVWMIQ","EBhcHTkKd8","LkLIoiE525","bx9Z9DAK5y"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"⫖↰⪸28A1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":4},{"info":"number node, value=6603","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=6603, 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=-4880","layer":3},{"info":"number node, value=5960","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=5960, right_input=1088, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5960","layer":3},{"info":"compute binary expreesion, left_input=-4880, right_input=5960, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=9760","layer":2},{"info":"number node, value=1747","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=2798, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11640","layer":3},{"info":"compute unary expreesion, input=11640, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=12508","layer":2},{"info":"compute binary expreesion, left_input=9760, right_input=12508, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-277870","layer":1},{"info":"number node, value=3411","layer":4},{"info":"compute unary expreesion, input=3411, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-37185","layer":3},{"info":"compute unary expreesion, input=-37185, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-36252","layer":2},{"info":"compute unary expreesion, input=-36252, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-277870, right_input=3979, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4729","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸84A≃⫖↰⪸39A3)⨐(⫖↰⪸3548⋝⋈⪟⫖↰⪸768)⊲⩕⊾(∥⊫⫖↰⪸1017⪥⫖↰⪸1752))⋹⋡⊁(⊆⋠((⇾⩊⇾⫖↰⪸1B83)⇯⋐))=⫖↰⪸28A1","reverse_text":"⫖↰⪸28A1=((⫖↰⪸84A≃⫖↰⪸39A3)⨐(⫖↰⪸3548⋝⋈⪟⫖↰⪸768)⊲⩕⊾(∥⊫⫖↰⪸1017⪥⫖↰⪸1752))⋹⋡⊁(⊆⋠((⇾⩊⇾⫖↰⪸1B83)⇯⋐))","cot":[{"info":"⫖↰⪸84A≃⫖↰⪸39A3=⫖↰⪸-29A8","layer":3},{"info":"⫖↰⪸3548⋝⋈⪟⫖↰⪸768=⫖↰⪸3548","layer":3},{"info":"⫖↰⪸-29A8⨐⫖↰⪸3548=⫖↰⪸5794","layer":2},{"info":"⫖↰⪸1017⪥⫖↰⪸1752=⫖↰⪸68A0","layer":3},{"info":"∥⊫⫖↰⪸68A0=⫖↰⪸72A4","layer":2},{"info":"⫖↰⪸5794⊲⩕⊾⫖↰⪸72A4=⫖↰⪸-11497A","layer":1},{"info":"⇾⩊⇾⫖↰⪸1B83=⫖↰⪸-19629","layer":3},{"info":"⫖↰⪸-19629⇯⋐=⫖↰⪸-18B90","layer":2},{"info":"⊆⋠⫖↰⪸-18B90=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸-11497A⋹⋡⊁⫖↰⪸2377=⫖↰⪸28A1","layer":0}]}
{"id":667,"expression_no_base_symbol":"($8189$⪮%⊝$4116$↬($1405$∑⇟⊟$2914$)≑≱⪘)⨫⇇↔(⨮↦↱($4094$∣$1839$))≁((⨛$6628$)⋝⋈⪟$1503$⨽∌$2505$)","expression":"(⫖↰⪸48A5⪮%⊝⫖↰⪸2470↬(⫖↰⪸991∑⇟⊟⫖↰⪸182A)≑≱⪘)⨫⇇↔(⨮↦↱(⫖↰⪸2452∣⫖↰⪸1093))≁((⨛⫖↰⪸3A04)⋝⋈⪟⫖↰⪸A53⨽∌⫖↰⪸1549)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3865,"operation_count":11,"complexity_ratio":351.3636363636364,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8189,"base":12},"right_expr":{"type":"numeric_atoms","value":4116,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1405,"base":12},"right_expr":{"type":"numeric_atoms","value":2914,"base":12}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4094,"base":12},"right_expr":{"type":"numeric_atoms","value":1839,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":6628,"base":12}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1503,"base":12},"right_expr":{"type":"numeric_atoms","value":2505,"base":12}}}}},"used_operators":["LXhwmt4mBO","tGSeddj7UK","B5M0gjZbta","IWmyXbctLI","U7g4x0WXJJ","8N2wDY1A35","sYcpBQ0cFf","PPChnnnBFF","2DDjHMKMc0","CoMdbyAt7R","9samAPKr6k"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⫖↰⪸-37B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8189","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=8189, right_input=4116, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16694","layer":3},{"info":"number node, value=1405","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=2914, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16694, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=nan","layer":1},{"info":"number node, value=4094","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=1839, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4094","layer":3},{"info":"compute unary expreesion, input=4094, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-38924826","layer":2},{"info":"number node, value=6628","layer":4},{"info":"compute unary expreesion, input=6628, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=1503","layer":4},{"info":"number node, value=2505","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=2505, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-38924826, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸48A5⪮%⊝⫖↰⪸2470↬(⫖↰⪸991∑⇟⊟⫖↰⪸182A)≑≱⪘)⨫⇇↔(⨮↦↱(⫖↰⪸2452∣⫖↰⪸1093))≁((⨛⫖↰⪸3A04)⋝⋈⪟⫖↰⪸A53⨽∌⫖↰⪸1549)=⫖↰⪸-37B","reverse_text":"⫖↰⪸-37B=(⫖↰⪸48A5⪮%⊝⫖↰⪸2470↬(⫖↰⪸991∑⇟⊟⫖↰⪸182A)≑≱⪘)⨫⇇↔(⨮↦↱(⫖↰⪸2452∣⫖↰⪸1093))≁((⨛⫖↰⪸3A04)⋝⋈⪟⫖↰⪸A53⨽∌⫖↰⪸1549)","cot":[{"info":"⫖↰⪸48A5⪮%⊝⫖↰⪸2470=⫖↰⪸97B2","layer":3},{"info":"⫖↰⪸991∑⇟⊟⫖↰⪸182A=NaN","layer":3},{"info":"⫖↰⪸97B2↬NaN=NaN","layer":2},{"info":"NaN≑≱⪘=NaN","layer":1},{"info":"⫖↰⪸2452∣⫖↰⪸1093=⫖↰⪸2452","layer":3},{"info":"⨮↦↱⫖↰⪸2452=⫖↰⪸-11051B36","layer":2},{"info":"⨛⫖↰⪸3A04=NaN","layer":3},{"info":"⫖↰⪸A53⨽∌⫖↰⪸1549=⫖↰⪸0","layer":3},{"info":"NaN⋝⋈⪟⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-11051B36≁NaN=NaN","layer":1},{"info":"NaN⨫⇇↔NaN=⫖↰⪸-37B","layer":0}]}
{"id":668,"expression_no_base_symbol":"(($4549$⪁$5014$)⨭⪣($6604$⊍⩺⋍$4892$))≌(($6059$⫌⩉⩟$1001$)⨔≚≋(⊵⊁$1004$))⫸⇳(⪲⇎(∥⊫$3697$)≃($1588$⫚↹⊑$2180$))","expression":"((⫖↰⪸2771⪁⫖↰⪸2A9A)⨭⪣(⫖↰⪸39A4⊍⩺⋍⫖↰⪸29B8))≌((⫖↰⪸360B⫌⩉⩟⫖↰⪸6B5)⨔≚≋(⊵⊁⫖↰⪸6B8))⫸⇳(⪲⇎(∥⊫⫖↰⪸2181)≃(⫖↰⪸B04⫚↹⊑⫖↰⪸1318))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":484076891,"operation_count":12,"complexity_ratio":40339740.916666664,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4549,"base":12},"right_expr":{"type":"numeric_atoms","value":5014,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":6604,"base":12},"right_expr":{"type":"numeric_atoms","value":4892,"base":12}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6059,"base":12},"right_expr":{"type":"numeric_atoms","value":1001,"base":12}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1004,"base":12}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3697,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1588,"base":12},"right_expr":{"type":"numeric_atoms","value":2180,"base":12}}}}},"used_operators":["gx7XJ7hdpj","lyWz822IDG","kn8WO9XteQ","I7sXao9hZE","OXDGMFPWZM","Z57zeUYC9z","XIIwhv8d0m","AvED76WdY7","XPYlsWDdGa","YbVcJGFEVW","P8v4zCKN1o","dfKe02y8D2"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4549","layer":4},{"info":"number node, value=5014","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=5014, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=6604","layer":4},{"info":"number node, value=4892","layer":4},{"info":"compute binary expreesion, left_input=6604, right_input=4892, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"number node, value=6059","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=6059, right_input=1001, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=4954","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=4954, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-41592","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-41592, 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=3697","layer":4},{"info":"compute unary expreesion, input=3697, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4565","layer":3},{"info":"number node, value=1588","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=2180, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=4565, right_input=-447, 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=1748","layer":2},{"info":"compute unary expreesion, input=1748, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3496","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3496, 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":12,"result_base":12,"text":"((⫖↰⪸2771⪁⫖↰⪸2A9A)⨭⪣(⫖↰⪸39A4⊍⩺⋍⫖↰⪸29B8))≌((⫖↰⪸360B⫌⩉⩟⫖↰⪸6B5)⨔≚≋(⊵⊁⫖↰⪸6B8))⫸⇳(⪲⇎(∥⊫⫖↰⪸2181)≃(⫖↰⪸B04⫚↹⊑⫖↰⪸1318))=NaN","reverse_text":"NaN=((⫖↰⪸2771⪁⫖↰⪸2A9A)⨭⪣(⫖↰⪸39A4⊍⩺⋍⫖↰⪸29B8))≌((⫖↰⪸360B⫌⩉⩟⫖↰⪸6B5)⨔≚≋(⊵⊁⫖↰⪸6B8))⫸⇳(⪲⇎(∥⊫⫖↰⪸2181)≃(⫖↰⪸B04⫚↹⊑⫖↰⪸1318))","cot":[{"info":"⫖↰⪸2771⪁⫖↰⪸2A9A=NaN","layer":3},{"info":"⫖↰⪸39A4⊍⩺⋍⫖↰⪸29B8=NaN","layer":3},{"info":"NaN⨭⪣NaN=⫖↰⪸-19","layer":2},{"info":"⫖↰⪸360B⫌⩉⩟⫖↰⪸6B5=⫖↰⪸-42","layer":3},{"info":"⊵⊁⫖↰⪸6B8=⫖↰⪸2A4A","layer":3},{"info":"⫖↰⪸-42⨔≚≋⫖↰⪸2A4A=⫖↰⪸-200A0","layer":2},{"info":"⫖↰⪸-19≌⫖↰⪸-200A0=NaN","layer":1},{"info":"∥⊫⫖↰⪸2181=⫖↰⪸2785","layer":3},{"info":"⫖↰⪸B04⫚↹⊑⫖↰⪸1318=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸2785≃⫖↰⪸-313=⫖↰⪸1018","layer":2},{"info":"⪲⇎⫖↰⪸1018=⫖↰⪸2034","layer":1},{"info":"NaN⫸⇳⫖↰⪸2034=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"((⊄⩳↩$2448$∌$6413$)⪛($1118$↳∿⪆$6626$⊹≧⊝))⪷","expression":"((⊄⩳↩⫖↰⪸1500∌⫖↰⪸3865)⪛(⫖↰⪸792↳∿⪆⫖↰⪸3A02⊹≧⊝))⪷","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2524,"operation_count":6,"complexity_ratio":420.6666666666667,"tree":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2448,"base":12},"right_expr":{"type":"numeric_atoms","value":6413,"base":12}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1118,"base":12},"right_expr":{"type":"numeric_atoms","value":6626,"base":12}}}}},"used_operators":["Qctrpi3WzA","uFcxV4UQCh","8w2t5hMYqp","8cLx32lpNA","LxFB4K6j0n","Cw4SuJJGHO"],"dependent_operators":["Nsiff2A1zJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2448","layer":4},{"info":"number node, value=6413","layer":4},{"info":"compute binary expreesion, left_input=2448, right_input=6413, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6413","layer":3},{"info":"compute unary expreesion, input=-6413, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=19239","layer":2},{"info":"number node, value=1118","layer":4},{"info":"number node, value=6626","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=6626, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19239, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊄⩳↩⫖↰⪸1500∌⫖↰⪸3865)⪛(⫖↰⪸792↳∿⪆⫖↰⪸3A02⊹≧⊝))⪷=NaN","reverse_text":"NaN=((⊄⩳↩⫖↰⪸1500∌⫖↰⪸3865)⪛(⫖↰⪸792↳∿⪆⫖↰⪸3A02⊹≧⊝))⪷","cot":[{"info":"⫖↰⪸1500∌⫖↰⪸3865=⫖↰⪸-3865","layer":3},{"info":"⊄⩳↩⫖↰⪸-3865=⫖↰⪸B173","layer":2},{"info":"⫖↰⪸792↳∿⪆⫖↰⪸3A02=NaN","layer":3},{"info":"NaN⊹≧⊝=NaN","layer":2},{"info":"⫖↰⪸B173⪛NaN=NaN","layer":1},{"info":"NaN⪷=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"((↩$1280$)≧⫂∧$3038$↓$2297$⨵⪆(↓⇌$3235$⩦$1002$))⪛⫼($1741$⩼⇪↪$1955$≬⇓$2640$⊱⇼⊻$3415$⋭≵((⩎⋉$1686$)⊓⋫))","expression":"((↩⫖↰⪸8A8)≧⫂∧⫖↰⪸1912↓⫖↰⪸13B5⨵⪆(↓⇌⫖↰⪸1A57⩦⫖↰⪸6B6))⪛⫼(⫖↰⪸1011⩼⇪↪⫖↰⪸116B≬⇓⫖↰⪸1640⊱⇼⊻⫖↰⪸1B87⋭≵((⩎⋉⫖↰⪸B86)⊓⋫))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":65874,"operation_count":13,"complexity_ratio":5067.2307692307695,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1280,"base":12}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3038,"base":12},"right_expr":{"type":"numeric_atoms","value":2297,"base":12}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3235,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1741,"base":12},"right_expr":{"type":"numeric_atoms","value":1955,"base":12}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2640,"base":12},"right_expr":{"type":"numeric_atoms","value":3415,"base":12}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1686,"base":12}}}}},"used_operators":["hyuBjUqXlG","2DQ55sFlQl","Ph9nP6C5qx","jLgFTUHLKL","Af076pWI7l","PxpmPgHHJV","0kmYd0q39Y","jBncVCNhdl","jWTQ2TZYIH","ocnLzx9CaJ","FyVja0WsTP","IqGBaFP0uj","FlXk3pOYe8"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⫖↰⪸257","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1280","layer":4},{"info":"compute unary expreesion, input=1280, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7460","layer":3},{"info":"number node, value=3038","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=2297, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-7460, right_input=-134, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-607","layer":2},{"info":"number node, value=3235","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=3235, right_input=1002, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6470","layer":3},{"info":"compute unary expreesion, input=6470, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=6470","layer":2},{"info":"compute binary expreesion, left_input=-607, right_input=6470, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1741","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1955, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-10986","layer":3},{"info":"number node, value=2640","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=2640, right_input=3415, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-10986, right_input=434, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=1208196758","layer":2},{"info":"number node, value=1686","layer":4},{"info":"compute unary expreesion, input=1686, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1778","layer":2},{"info":"compute binary expreesion, left_input=1208196758, right_input=-1778, 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=160, right_input=67, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=355","layer":0}],"base":12,"result_base":12,"text":"((↩⫖↰⪸8A8)≧⫂∧⫖↰⪸1912↓⫖↰⪸13B5⨵⪆(↓⇌⫖↰⪸1A57⩦⫖↰⪸6B6))⪛⫼(⫖↰⪸1011⩼⇪↪⫖↰⪸116B≬⇓⫖↰⪸1640⊱⇼⊻⫖↰⪸1B87⋭≵((⩎⋉⫖↰⪸B86)⊓⋫))=⫖↰⪸257","reverse_text":"⫖↰⪸257=((↩⫖↰⪸8A8)≧⫂∧⫖↰⪸1912↓⫖↰⪸13B5⨵⪆(↓⇌⫖↰⪸1A57⩦⫖↰⪸6B6))⪛⫼(⫖↰⪸1011⩼⇪↪⫖↰⪸116B≬⇓⫖↰⪸1640⊱⇼⊻⫖↰⪸1B87⋭≵((⩎⋉⫖↰⪸B86)⊓⋫))","cot":[{"info":"↩⫖↰⪸8A8=⫖↰⪸-4398","layer":3},{"info":"⫖↰⪸1912↓⫖↰⪸13B5=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸-4398≧⫂∧⫖↰⪸-B2=⫖↰⪸-427","layer":2},{"info":"⫖↰⪸1A57⩦⫖↰⪸6B6=⫖↰⪸38B2","layer":3},{"info":"↓⇌⫖↰⪸38B2=⫖↰⪸38B2","layer":2},{"info":"⫖↰⪸-427⨵⪆⫖↰⪸38B2=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1011⩼⇪↪⫖↰⪸116B=⫖↰⪸-6436","layer":3},{"info":"⫖↰⪸1640⊱⇼⊻⫖↰⪸1B87=⫖↰⪸302","layer":3},{"info":"⫖↰⪸-6436≬⇓⫖↰⪸302=⫖↰⪸298757B32","layer":2},{"info":"⩎⋉⫖↰⪸B86=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸B56⊓⋫=⫖↰⪸-1042","layer":2},{"info":"⫖↰⪸298757B32⋭≵⫖↰⪸-1042=⫖↰⪸57","layer":1},{"info":"⫖↰⪸114⪛⫼⫖↰⪸57=⫖↰⪸257","layer":0}]}
{"id":671,"expression_no_base_symbol":"(($2795$⪨⊡$3565$)⪥($2769$%$3215$)≫≃)≁($6563$↓$1584$↬$2006$⩁⩘$3718$)⋹⋡⊁(⩷$3361$⫁$7225$)","expression":"((⫖↰⪸174B⪨⊡⫖↰⪸2091)⪥(⫖↰⪸1729%⫖↰⪸1A3B)≫≃)≁(⫖↰⪸396B↓⫖↰⪸B00↬⫖↰⪸11B2⩁⩘⫖↰⪸219A)⋹⋡⊁(⩷⫖↰⪸1B41⫁⫖↰⪸4221)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22728,"operation_count":11,"complexity_ratio":2066.181818181818,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2795,"base":12},"right_expr":{"type":"numeric_atoms","value":3565,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2769,"base":12},"right_expr":{"type":"numeric_atoms","value":3215,"base":12}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6563,"base":12},"right_expr":{"type":"numeric_atoms","value":1584,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2006,"base":12},"right_expr":{"type":"numeric_atoms","value":3718,"base":12}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3361,"base":12},"right_expr":{"type":"numeric_atoms","value":7225,"base":12}}}}},"used_operators":["8N2wDY1A35","X99M06cbEe","QbnwKVWMIQ","kuIXHzHcAH","k8jYdgA6NY","As8RqfVLgs","B5M0gjZbta","Af076pWI7l","gub5Cegaqo","1h0rLqGiFr","0ajvFaJAv0"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rGHVDoGpnC","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","IWmyXbctLI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2795","layer":4},{"info":"number node, value=3565","layer":4},{"info":"compute binary expreesion, left_input=2795, right_input=3565, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2769","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=3215, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2769","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2769, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":2},{"info":"compute unary expreesion, input=4652, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10705","layer":1},{"info":"number node, value=6563","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=6563, right_input=1584, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2006","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=3718, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=15820","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=15820, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3361","layer":4},{"info":"number node, value=7225","layer":4},{"info":"compute binary expreesion, left_input=3361, right_input=7225, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-1999","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1999, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10705, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸174B⪨⊡⫖↰⪸2091)⪥(⫖↰⪸1729%⫖↰⪸1A3B)≫≃)≁(⫖↰⪸396B↓⫖↰⪸B00↬⫖↰⪸11B2⩁⩘⫖↰⪸219A)⋹⋡⊁(⩷⫖↰⪸1B41⫁⫖↰⪸4221)=NaN","reverse_text":"NaN=((⫖↰⪸174B⪨⊡⫖↰⪸2091)⪥(⫖↰⪸1729%⫖↰⪸1A3B)≫≃)≁(⫖↰⪸396B↓⫖↰⪸B00↬⫖↰⪸11B2⩁⩘⫖↰⪸219A)⋹⋡⊁(⩷⫖↰⪸1B41⫁⫖↰⪸4221)","cot":[{"info":"⫖↰⪸174B⪨⊡⫖↰⪸2091=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1729%⫖↰⪸1A3B=⫖↰⪸1729","layer":3},{"info":"⫖↰⪸0⪥⫖↰⪸1729=⫖↰⪸2838","layer":2},{"info":"⫖↰⪸2838≫≃=⫖↰⪸6241","layer":1},{"info":"⫖↰⪸396B↓⫖↰⪸B00=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸11B2⩁⩘⫖↰⪸219A=⫖↰⪸91A4","layer":3},{"info":"⫖↰⪸-B2↬⫖↰⪸91A4=NaN","layer":2},{"info":"⫖↰⪸1B41⫁⫖↰⪸4221=⫖↰⪸114","layer":3},{"info":"⩷⫖↰⪸114=⫖↰⪸-11A7","layer":2},{"info":"NaN⋹⋡⊁⫖↰⪸-11A7=NaN","layer":1},{"info":"⫖↰⪸6241≁NaN=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"(($1056$∙∹∝$1048$)⊴(≱⇩⩕$1160$))⫞⩸⩒(($1323$≭$2752$)∺≝⩲($7022$+⇶⊼$5416$))⋆⋳","expression":"((⫖↰⪸740∙∹∝⫖↰⪸734)⊴(≱⇩⩕⫖↰⪸808))⫞⩸⩒((⫖↰⪸923≭⫖↰⪸1714)∺≝⩲(⫖↰⪸4092+⇶⊼⫖↰⪸3174))⋆⋳","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":175,"operation_count":8,"complexity_ratio":21.875,"tree":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1056,"base":12},"right_expr":{"type":"numeric_atoms","value":1048,"base":12}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1160,"base":12}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1323,"base":12},"right_expr":{"type":"numeric_atoms","value":2752,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7022,"base":12},"right_expr":{"type":"numeric_atoms","value":5416,"base":12}}}}},"used_operators":["6MpZysEj17","XGcMNugi78","Nsiff2A1zJ","HmxsFra2vL","3DZMoQKiUl","KPf6cnQVty","rxpJgHHUmx","TpPTUOHfaN"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1056","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1048, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1323","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=2752, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=7022","layer":4},{"info":"number node, value=5416","layer":4},{"info":"compute binary expreesion, left_input=7022, right_input=5416, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸740∙∹∝⫖↰⪸734)⊴(≱⇩⩕⫖↰⪸808))⫞⩸⩒((⫖↰⪸923≭⫖↰⪸1714)∺≝⩲(⫖↰⪸4092+⇶⊼⫖↰⪸3174))⋆⋳=NaN","reverse_text":"NaN=((⫖↰⪸740∙∹∝⫖↰⪸734)⊴(≱⇩⩕⫖↰⪸808))⫞⩸⩒((⫖↰⪸923≭⫖↰⪸1714)∺≝⩲(⫖↰⪸4092+⇶⊼⫖↰⪸3174))⋆⋳","cot":[{"info":"⫖↰⪸740∙∹∝⫖↰⪸734=⫖↰⪸0","layer":3},{"info":"≱⇩⩕⫖↰⪸808=⫖↰⪸95","layer":3},{"info":"⫖↰⪸0⊴⫖↰⪸95=NaN","layer":2},{"info":"⫖↰⪸923≭⫖↰⪸1714=NaN","layer":3},{"info":"⫖↰⪸4092+⇶⊼⫖↰⪸3174=NaN","layer":3},{"info":"NaN∺≝⩲NaN=⫖↰⪸114","layer":2},{"info":"NaN⫞⩸⩒⫖↰⪸114=NaN","layer":1},{"info":"NaN⋆⋳=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"(↨($3997$⊋≦⊧$1655$)⪎↠($1236$⇄$3560$))⪡($5741$≠≀$4343$+(⇖⫷⫕$1510$)⋷(($1625$⫑)⪥⨬⪅))","expression":"(↨(⫖↰⪸2391⊋≦⊧⫖↰⪸B5B)⪎↠(⫖↰⪸870⇄⫖↰⪸2088))⪡(⫖↰⪸33A5≠≀⫖↰⪸261B+(⇖⫷⫕⫖↰⪸A5A)⋷((⫖↰⪸B35⫑)⪥⨬⪅))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1912,"operation_count":11,"complexity_ratio":173.8181818181818,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3997,"base":12},"right_expr":{"type":"numeric_atoms","value":1655,"base":12}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1236,"base":12},"right_expr":{"type":"numeric_atoms","value":3560,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5741,"base":12},"right_expr":{"type":"numeric_atoms","value":4343,"base":12}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1510,"base":12}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1625,"base":12}}}}},"used_operators":["oraRL2iQuh","jiX4gk2v2Q","3tVxb0NHM4","oRDoc9rAEX","3EYGwJThht","23Mk6UjR3U","W4YGzv6Whe","IwW236VD4Y","UHmRx3INFg","zNRQejTB5A","CgIo77xlM2"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rGHVDoGpnC","oZj3VtZNQx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"⫖↰⪸-1154","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3997","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=1655, 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=-3070","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=3560, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3070, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":1},{"info":"number node, value=5741","layer":4},{"info":"number node, value=4343","layer":4},{"info":"compute binary expreesion, left_input=5741, right_input=4343, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11176","layer":3},{"info":"number node, value=1510","layer":4},{"info":"compute unary expreesion, input=1510, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-11176, right_input=2822, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-8354","layer":2},{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute unary expreesion, input=3979, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-8354, right_input=-473, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=16708","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=16708, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":0}],"base":12,"result_base":12,"text":"(↨(⫖↰⪸2391⊋≦⊧⫖↰⪸B5B)⪎↠(⫖↰⪸870⇄⫖↰⪸2088))⪡(⫖↰⪸33A5≠≀⫖↰⪸261B+(⇖⫷⫕⫖↰⪸A5A)⋷((⫖↰⪸B35⫑)⪥⨬⪅))=⫖↰⪸-1154","reverse_text":"⫖↰⪸-1154=(↨(⫖↰⪸2391⊋≦⊧⫖↰⪸B5B)⪎↠(⫖↰⪸870⇄⫖↰⪸2088))⪡(⫖↰⪸33A5≠≀⫖↰⪸261B+(⇖⫷⫕⫖↰⪸A5A)⋷((⫖↰⪸B35⫑)⪥⨬⪅))","cot":[{"info":"⫖↰⪸2391⊋≦⊧⫖↰⪸B5B=⫖↰⪸-193A","layer":3},{"info":"⫖↰⪸870⇄⫖↰⪸2088=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-193A⪎↠⫖↰⪸0=⫖↰⪸-47","layer":2},{"info":"↨⫖↰⪸-47=⫖↰⪸0","layer":1},{"info":"⫖↰⪸33A5≠≀⫖↰⪸261B=⫖↰⪸-6574","layer":3},{"info":"⇖⫷⫕⫖↰⪸A5A=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸-6574+⫖↰⪸1772=⫖↰⪸-4A02","layer":2},{"info":"⫖↰⪸B35⫑=⫖↰⪸2377","layer":3},{"info":"⫖↰⪸2377⪥⨬⪅=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸-4A02⋷⫖↰⪸-335=⫖↰⪸9804","layer":1},{"info":"⫖↰⪸0⪡⫖↰⪸9804=⫖↰⪸-1154","layer":0}]}
{"id":674,"expression_no_base_symbol":"((∟⋨$1429$)+($2878$⨵⪆$4174$)⩢≌)↹⊜(($1426$⪒$1177$)⨂≜($3716$⊚⫡⫭)⇌⫙⪟((↩$4980$)⨔≚≋(⨂⪏⇭$1976$)))","expression":"((∟⋨⫖↰⪸9B1)+(⫖↰⪸17BA⨵⪆⫖↰⪸24BA)⩢≌)↹⊜((⫖↰⪸9AA⪒⫖↰⪸821)⨂≜(⫖↰⪸2198⊚⫡⫭)⇌⫙⪟((↩⫖↰⪸2A70)⨔≚≋(⨂⪏⇭⫖↰⪸1188)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4426,"operation_count":12,"complexity_ratio":368.8333333333333,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1429,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2878,"base":12},"right_expr":{"type":"numeric_atoms","value":4174,"base":12}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1426,"base":12},"right_expr":{"type":"numeric_atoms","value":1177,"base":12}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":3716,"base":12}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4980,"base":12}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1976,"base":12}}}}},"used_operators":["9bazX3JMtO","D617RFjZIq","W4YGzv6Whe","ctOc4cKSDt","2DQ55sFlQl","AFVx7xoS7T","k1SHOSEABc","f6k1SAg4EE","SpZWOsLKZJ","Z57zeUYC9z","jLgFTUHLKL","AYdpE9sXAk"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","hTbEZDJLEm","o20kRiQErp","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-945","layer":3},{"info":"number node, value=2878","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=4174, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-945, right_input=160, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-785","layer":2},{"info":"compute unary expreesion, input=-785, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"number node, value=1426","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=1177, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2603","layer":3},{"info":"number node, value=3716","layer":4},{"info":"compute unary expreesion, input=3716, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-6506","layer":3},{"info":"compute binary expreesion, left_input=-2603, right_input=-6506, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=4980","layer":4},{"info":"compute unary expreesion, input=4980, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-37060","layer":3},{"info":"number node, value=1976","layer":4},{"info":"compute unary expreesion, input=1976, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4949","layer":3},{"info":"compute binary expreesion, left_input=-37060, right_input=4949, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=550608","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=550608, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∟⋨⫖↰⪸9B1)+(⫖↰⪸17BA⨵⪆⫖↰⪸24BA)⩢≌)↹⊜((⫖↰⪸9AA⪒⫖↰⪸821)⨂≜(⫖↰⪸2198⊚⫡⫭)⇌⫙⪟((↩⫖↰⪸2A70)⨔≚≋(⨂⪏⇭⫖↰⪸1188)))=NaN","reverse_text":"NaN=((∟⋨⫖↰⪸9B1)+(⫖↰⪸17BA⨵⪆⫖↰⪸24BA)⩢≌)↹⊜((⫖↰⪸9AA⪒⫖↰⪸821)⨂≜(⫖↰⪸2198⊚⫡⫭)⇌⫙⪟((↩⫖↰⪸2A70)⨔≚≋(⨂⪏⇭⫖↰⪸1188)))","cot":[{"info":"∟⋨⫖↰⪸9B1=⫖↰⪸-669","layer":3},{"info":"⫖↰⪸17BA⨵⪆⫖↰⪸24BA=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-669+⫖↰⪸114=⫖↰⪸-555","layer":2},{"info":"⫖↰⪸-555⩢≌=⫖↰⪸95","layer":1},{"info":"⫖↰⪸9AA⪒⫖↰⪸821=⫖↰⪸-160B","layer":3},{"info":"⫖↰⪸2198⊚⫡⫭=⫖↰⪸-3922","layer":3},{"info":"⫖↰⪸-160B⨂≜⫖↰⪸-3922=NaN","layer":2},{"info":"↩⫖↰⪸2A70=⫖↰⪸-19544","layer":3},{"info":"⨂⪏⇭⫖↰⪸1188=⫖↰⪸2A45","layer":3},{"info":"⫖↰⪸-19544⨔≚≋⫖↰⪸2A45=⫖↰⪸226780","layer":2},{"info":"NaN⇌⫙⪟⫖↰⪸226780=NaN","layer":1},{"info":"⫖↰⪸95↹⊜NaN=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"((⪸$3296$)⪭≯(⇵⪽$1751$)⨵⪆($1719$⨥⫆$1315$)⨥⫆($1205$⨟⋌⩍$1621$))∴(∓($8569$↞⋁$1735$⫰⋱($4734$∕⩚$4580$)))","expression":"((⪸⫖↰⪸1AA8)⪭≯(⇵⪽⫖↰⪸101B)⨵⪆(⫖↰⪸BB3⨥⫆⫖↰⪸917)⨥⫆(⫖↰⪸845⨟⋌⩍⫖↰⪸B31))∴(∓(⫖↰⪸4B61↞⋁⫖↰⪸1007⫰⋱(⫖↰⪸28A6∕⩚⫖↰⪸2798)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11620,"operation_count":12,"complexity_ratio":968.3333333333334,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3296,"base":12}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1751,"base":12}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1719,"base":12},"right_expr":{"type":"numeric_atoms","value":1315,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1205,"base":12},"right_expr":{"type":"numeric_atoms","value":1621,"base":12}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":8569,"base":12},"right_expr":{"type":"numeric_atoms","value":1735,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4734,"base":12},"right_expr":{"type":"numeric_atoms","value":4580,"base":12}}}}},"used_operators":["hrf7POJlIJ","2DQ55sFlQl","XAx5wpdLa6","86A5ENbKR9","ZGCBLdVRRX","yXekIHxTD4","rGHVDoGpnC","OwUj7dcsQK","6o9Blt3TJ6","RqrPlJkxDo","z9ffQ9n5Zr"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","U7g4x0WXJJ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Tcnh7f0tEr","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⫖↰⪸1180","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3296","layer":4},{"info":"compute unary expreesion, input=3296, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-55823","layer":3},{"info":"number node, value=1751","layer":4},{"info":"compute unary expreesion, input=1751, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-55823, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=1719","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=1315, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2506","layer":3},{"info":"number node, value=1205","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1621, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2506, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=8569","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=8569, right_input=1735, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=4734","layer":4},{"info":"number node, value=4580","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=4580, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4737","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4737, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1968","layer":0}],"base":12,"result_base":12,"text":"((⪸⫖↰⪸1AA8)⪭≯(⇵⪽⫖↰⪸101B)⨵⪆(⫖↰⪸BB3⨥⫆⫖↰⪸917)⨥⫆(⫖↰⪸845⨟⋌⩍⫖↰⪸B31))∴(∓(⫖↰⪸4B61↞⋁⫖↰⪸1007⫰⋱(⫖↰⪸28A6∕⩚⫖↰⪸2798)))=⫖↰⪸1180","reverse_text":"⫖↰⪸1180=((⪸⫖↰⪸1AA8)⪭≯(⇵⪽⫖↰⪸101B)⨵⪆(⫖↰⪸BB3⨥⫆⫖↰⪸917)⨥⫆(⫖↰⪸845⨟⋌⩍⫖↰⪸B31))∴(∓(⫖↰⪸4B61↞⋁⫖↰⪸1007⫰⋱(⫖↰⪸28A6∕⩚⫖↰⪸2798)))","cot":[{"info":"⪸⫖↰⪸1AA8=⫖↰⪸-2837B","layer":3},{"info":"⇵⪽⫖↰⪸101B=NaN","layer":3},{"info":"⫖↰⪸-2837B⪭≯NaN=NaN","layer":2},{"info":"⫖↰⪸BB3⨥⫆⫖↰⪸917=⫖↰⪸154A","layer":3},{"info":"⫖↰⪸845⨟⋌⩍⫖↰⪸B31=NaN","layer":3},{"info":"⫖↰⪸154A⨥⫆NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸4B61↞⋁⫖↰⪸1007=NaN","layer":3},{"info":"⫖↰⪸28A6∕⩚⫖↰⪸2798=⫖↰⪸-28A9","layer":3},{"info":"NaN⫰⋱⫖↰⪸-28A9=NaN","layer":2},{"info":"∓NaN=NaN","layer":1},{"info":"⫖↰⪸114∴NaN=⫖↰⪸1180","layer":0}]}
{"id":676,"expression_no_base_symbol":"(($3488$⩺⪪$1910$)∺≝⩲($2713$⨪↰⇹$1944$))⫞⩸⩒($2174$↬$1165$⩵∡$8905$⊢$2206$)⫯⪬∳(($1061$⊾⪯⋞$2655$)⨟⋌⩍$2912$⊢$1051$⪑⩈)","expression":"((⫖↰⪸2028⩺⪪⫖↰⪸1132)∺≝⩲(⫖↰⪸16A1⨪↰⇹⫖↰⪸1160))⫞⩸⩒(⫖↰⪸1312↬⫖↰⪸811⩵∡⫖↰⪸51A1⊢⫖↰⪸133A)⫯⪬∳((⫖↰⪸745⊾⪯⋞⫖↰⪸1653)⨟⋌⩍⫖↰⪸1828⊢⫖↰⪸737⪑⩈)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2984,"operation_count":12,"complexity_ratio":248.66666666666666,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3488,"base":12},"right_expr":{"type":"numeric_atoms","value":1910,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2713,"base":12},"right_expr":{"type":"numeric_atoms","value":1944,"base":12}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2174,"base":12},"right_expr":{"type":"numeric_atoms","value":1165,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":8905,"base":12},"right_expr":{"type":"numeric_atoms","value":2206,"base":12}}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":2655,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2912,"base":12},"right_expr":{"type":"numeric_atoms","value":1051,"base":12}}}}},"used_operators":["d7ASUq0ydm","XGcMNugi78","KPf6cnQVty","uvdQJvN4PV","tmPS8pqC7x","Y7wcNGrDQJ","B5M0gjZbta","5twsqlHp2o","C6VvDP6HwP","rGHVDoGpnC","HK0tfVPux8"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rJVOvQCfKK","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rGHVDoGpnC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","Tcnh7f0tEr","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⫖↰⪸397","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3488","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=1910, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-26146","layer":3},{"info":"number node, value=2713","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=1944, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2713","layer":3},{"info":"compute binary expreesion, left_input=-26146, right_input=2713, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=2174","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=2174, right_input=1165, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=8905","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=8905, right_input=2206, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-18054","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18054, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, 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=160","layer":1},{"info":"number node, value=1061","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=2655, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4884","layer":3},{"info":"number node, value=2912","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=1051, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6068","layer":3},{"info":"compute binary expreesion, left_input=4884, right_input=-6068, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=547","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2028⩺⪪⫖↰⪸1132)∺≝⩲(⫖↰⪸16A1⨪↰⇹⫖↰⪸1160))⫞⩸⩒(⫖↰⪸1312↬⫖↰⪸811⩵∡⫖↰⪸51A1⊢⫖↰⪸133A)⫯⪬∳((⫖↰⪸745⊾⪯⋞⫖↰⪸1653)⨟⋌⩍⫖↰⪸1828⊢⫖↰⪸737⪑⩈)=⫖↰⪸397","reverse_text":"⫖↰⪸397=((⫖↰⪸2028⩺⪪⫖↰⪸1132)∺≝⩲(⫖↰⪸16A1⨪↰⇹⫖↰⪸1160))⫞⩸⩒(⫖↰⪸1312↬⫖↰⪸811⩵∡⫖↰⪸51A1⊢⫖↰⪸133A)⫯⪬∳((⫖↰⪸745⊾⪯⋞⫖↰⪸1653)⨟⋌⩍⫖↰⪸1828⊢⫖↰⪸737⪑⩈)","cot":[{"info":"⫖↰⪸2028⩺⪪⫖↰⪸1132=⫖↰⪸-1316A","layer":3},{"info":"⫖↰⪸16A1⨪↰⇹⫖↰⪸1160=⫖↰⪸16A1","layer":3},{"info":"⫖↰⪸-1316A∺≝⩲⫖↰⪸16A1=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1312↬⫖↰⪸811=NaN","layer":3},{"info":"⫖↰⪸51A1⊢⫖↰⪸133A=⫖↰⪸-A546","layer":3},{"info":"NaN⩵∡⫖↰⪸-A546=NaN","layer":2},{"info":"⫖↰⪸114⫞⩸⩒NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸745⊾⪯⋞⫖↰⪸1653=⫖↰⪸29B0","layer":3},{"info":"⫖↰⪸1828⊢⫖↰⪸737=⫖↰⪸-3618","layer":3},{"info":"⫖↰⪸29B0⨟⋌⩍⫖↰⪸-3618=NaN","layer":2},{"info":"NaN⪑⩈=NaN","layer":1},{"info":"⫖↰⪸114⫯⪬∳NaN=⫖↰⪸397","layer":0}]}
{"id":677,"expression_no_base_symbol":"⨮↦↱($1186$∘$1578$⩘$4847$⫁$4773$)⨥⫆($1936$∷$4857$)⨥⫆(⋣$1533$)","expression":"⨮↦↱(⫖↰⪸82A∘⫖↰⪸AB6⩘⫖↰⪸297B⫁⫖↰⪸2919)⨥⫆(⫖↰⪸1154∷⫖↰⪸2989)⨥⫆(⋣⫖↰⪸A79)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":904,"operation_count":8,"complexity_ratio":113.0,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1186,"base":12},"right_expr":{"type":"numeric_atoms","value":1578,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4847,"base":12},"right_expr":{"type":"numeric_atoms","value":4773,"base":12}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1936,"base":12},"right_expr":{"type":"numeric_atoms","value":4857,"base":12}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1533,"base":12}}}}},"used_operators":["sYcpBQ0cFf","yXekIHxTD4","cHh1gJQ2o6","Z5m6OM72h2","0ajvFaJAv0","D3AQDKkPcf","zQWRhDnn8F"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eH2TOUuTDT","rysDP5nf3Z","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"⫖↰⪸-29AB76","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1578, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2372","layer":3},{"info":"number node, value=4847","layer":4},{"info":"number node, value=4773","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=4773, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2372, right_input=160, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1936","layer":4},{"info":"number node, value=4857","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=4857, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4857","layer":3},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-450607","layer":3},{"info":"compute binary expreesion, left_input=4857, right_input=-450607, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (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":12,"result_base":12,"text":"⨮↦↱(⫖↰⪸82A∘⫖↰⪸AB6⩘⫖↰⪸297B⫁⫖↰⪸2919)⨥⫆(⫖↰⪸1154∷⫖↰⪸2989)⨥⫆(⋣⫖↰⪸A79)=⫖↰⪸-29AB76","reverse_text":"⫖↰⪸-29AB76=⨮↦↱(⫖↰⪸82A∘⫖↰⪸AB6⩘⫖↰⪸297B⫁⫖↰⪸2919)⨥⫆(⫖↰⪸1154∷⫖↰⪸2989)⨥⫆(⋣⫖↰⪸A79)","cot":[{"info":"⫖↰⪸82A∘⫖↰⪸AB6=⫖↰⪸1458","layer":3},{"info":"⫖↰⪸297B⫁⫖↰⪸2919=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1458⩘⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"⫖↰⪸1154∷⫖↰⪸2989=⫖↰⪸2989","layer":3},{"info":"⋣⫖↰⪸A79=⫖↰⪸-198927","layer":3},{"info":"⫖↰⪸2989⨥⫆⫖↰⪸-198927=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸114⨥⫆⫖↰⪸-1=⫖↰⪸0","layer":1},{"info":"⨮↦↱⫖↰⪸0=⫖↰⪸-29AB76","layer":0}]}
{"id":678,"expression_no_base_symbol":"((∮$7698$)≁↽≥($1158$↦)∲⫓(⨵$6210$)⪉⨛($6336$⊜))⇷(∡($5002$∕⩚$1344$))⊱⇼⊻(($5008$%$2076$)⇞)","expression":"((∮⫖↰⪸4556)≁↽≥(⫖↰⪸806↦)∲⫓(⨵⫖↰⪸3716)⪉⨛(⫖↰⪸3800⊜))⇷(∡(⫖↰⪸2A8A∕⩚⫖↰⪸940))⊱⇼⊻((⫖↰⪸2A94%⫖↰⪸1250)⇞)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":230098,"operation_count":13,"complexity_ratio":17699.846153846152,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":7698,"base":12}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1158,"base":12}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":6210,"base":12}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":6336,"base":12}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":5002,"base":12},"right_expr":{"type":"numeric_atoms","value":1344,"base":12}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5008,"base":12},"right_expr":{"type":"numeric_atoms","value":2076,"base":12}}}}},"used_operators":["mp7IySMOzn","i8ToyICDmI","ncHt1X6cMc","CqXKPLVYql","fFznvYxMfW","EWw2JM7wp4","Tl3Y52tvF8","Eev2Q7dYIw","FyVja0WsTP","pRsWfj4Fpp","z9ffQ9n5Zr","5JYyxRJd4f","k8jYdgA6NY"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z"],"result":"⫖↰⪸604","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7698","layer":4},{"info":"compute unary expreesion, input=7698, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"number node, value=6210","layer":4},{"info":"compute unary expreesion, input=6210, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-50889","layer":3},{"info":"number node, value=6336","layer":4},{"info":"compute unary expreesion, input=6336, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-23608","layer":3},{"info":"compute binary expreesion, left_input=-50889, right_input=-23608, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-81628","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-81628, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=5002","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=1344, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5005","layer":3},{"info":"compute unary expreesion, input=-5005, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=30030","layer":2},{"info":"number node, value=5008","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=5008, right_input=2076, op_id = k8jYdgA6NY binary_op_definition= 'None', output=856","layer":3},{"info":"compute unary expreesion, input=856, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=3337","layer":2},{"info":"compute binary expreesion, left_input=30030, right_input=3337, 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=nan, right_input=434, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=868","layer":0}],"base":12,"result_base":12,"text":"((∮⫖↰⪸4556)≁↽≥(⫖↰⪸806↦)∲⫓(⨵⫖↰⪸3716)⪉⨛(⫖↰⪸3800⊜))⇷(∡(⫖↰⪸2A8A∕⩚⫖↰⪸940))⊱⇼⊻((⫖↰⪸2A94%⫖↰⪸1250)⇞)=⫖↰⪸604","reverse_text":"⫖↰⪸604=((∮⫖↰⪸4556)≁↽≥(⫖↰⪸806↦)∲⫓(⨵⫖↰⪸3716)⪉⨛(⫖↰⪸3800⊜))⇷(∡(⫖↰⪸2A8A∕⩚⫖↰⪸940))⊱⇼⊻((⫖↰⪸2A94%⫖↰⪸1250)⇞)","cot":[{"info":"∮⫖↰⪸4556=⫖↰⪸57","layer":3},{"info":"⫖↰⪸806↦=NaN","layer":3},{"info":"⫖↰⪸57≁↽≥NaN=NaN","layer":2},{"info":"⨵⫖↰⪸3716=⫖↰⪸-25549","layer":3},{"info":"⫖↰⪸3800⊜=⫖↰⪸-117B4","layer":3},{"info":"⫖↰⪸-25549⪉⨛⫖↰⪸-117B4=⫖↰⪸-3B2A4","layer":2},{"info":"NaN∲⫓⫖↰⪸-3B2A4=NaN","layer":1},{"info":"⫖↰⪸2A8A∕⩚⫖↰⪸940=⫖↰⪸-2A91","layer":3},{"info":"∡⫖↰⪸-2A91=⫖↰⪸15466","layer":2},{"info":"⫖↰⪸2A94%⫖↰⪸1250=⫖↰⪸5B4","layer":3},{"info":"⫖↰⪸5B4⇞=⫖↰⪸1B21","layer":2},{"info":"⫖↰⪸15466⊱⇼⊻⫖↰⪸1B21=⫖↰⪸302","layer":1},{"info":"NaN⇷⫖↰⪸302=⫖↰⪸604","layer":0}]}
{"id":679,"expression_no_base_symbol":"(≀↧⇸((⩰$9309$)⩏))⊬⫿⊭","expression":"(≀↧⇸((⩰⫖↰⪸5479)⩏))⊬⫿⊭","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":263,"operation_count":4,"complexity_ratio":65.75,"tree":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":9309,"base":12}}}}},"used_operators":["v0DYgG9ikt","ljTHtUsqzn","iA2gmKZ3Wj","WkeUrDK8WX"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","XPYlsWDdGa","23Mk6UjR3U","z6LnFrNh4i","Tcnh7f0tEr","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"⫖↰⪸158","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9309","layer":4},{"info":"compute unary expreesion, input=9309, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-10309","layer":3},{"info":"compute unary expreesion, input=-10309, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=212","layer":0}],"base":12,"result_base":12,"text":"(≀↧⇸((⩰⫖↰⪸5479)⩏))⊬⫿⊭=⫖↰⪸158","reverse_text":"⫖↰⪸158=(≀↧⇸((⩰⫖↰⪸5479)⩏))⊬⫿⊭","cot":[{"info":"⩰⫖↰⪸5479=⫖↰⪸-5B71","layer":3},{"info":"⫖↰⪸-5B71⩏=⫖↰⪸0","layer":2},{"info":"≀↧⇸⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⊬⫿⊭=⫖↰⪸158","layer":0}]}
{"id":680,"expression_no_base_symbol":"((⋼∭⪍$5282$)⇄$3578$↼⊘⨖$4027$)⩼⇪↪(($3556$⫠)⨚($3778$⫥∨⫟$1004$))≓∲($2734$∷$4183$⊭↱($3471$↬⩅∪))≹⇙⪍($3311$⊨$4339$⨑≵⋬(⊵⊁$1113$))","expression":"((⋼∭⪍⫖↰⪸3082)⇄⫖↰⪸20A2↼⊘⨖⫖↰⪸23B7)⩼⇪↪((⫖↰⪸2084⫠)⨚(⫖↰⪸222A⫥∨⫟⫖↰⪸6B8))≓∲(⫖↰⪸16BA∷⫖↰⪸2507⊭↱(⫖↰⪸2013↬⩅∪))≹⇙⪍(⫖↰⪸1ABB⊨⫖↰⪸2617⨑≵⋬(⊵⊁⫖↰⪸789))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50124,"operation_count":15,"complexity_ratio":3341.6,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5282,"base":12}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3578,"base":12},"right_expr":{"type":"numeric_atoms","value":4027,"base":12}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":3556,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3778,"base":12},"right_expr":{"type":"numeric_atoms","value":1004,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2734,"base":12},"right_expr":{"type":"numeric_atoms","value":4183,"base":12}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":3471,"base":12}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3311,"base":12},"right_expr":{"type":"numeric_atoms","value":4339,"base":12}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1113,"base":12}}}}},"used_operators":["s1XTVnmDOJ","ocnLzx9CaJ","3EYGwJThht","DbCuESL50I","bPywburJMS","nREPSIbpBE","6SnOT2rOjz","KYD54nUTWz","AHs5Up7iyr","COABgblf1C","D3AQDKkPcf","VJ330n2nnx","XnXgA4xnOs","vg4gO5BX6G","AvED76WdY7"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","uBihLCJcMX","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5282","layer":4},{"info":"compute unary expreesion, input=5282, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-19388","layer":3},{"info":"number node, value=3578","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=4027, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7832","layer":3},{"info":"compute binary expreesion, left_input=-19388, right_input=7832, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-7348","layer":2},{"info":"number node, value=3556","layer":4},{"info":"compute unary expreesion, input=3556, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=3778","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=1004, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7348, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2734","layer":4},{"info":"number node, value=4183","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=4183, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4183","layer":3},{"info":"number node, value=3471","layer":4},{"info":"compute unary expreesion, input=3471, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-10413","layer":3},{"info":"compute binary expreesion, left_input=4183, right_input=-10413, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-29187","layer":2},{"info":"number node, value=3311","layer":4},{"info":"number node, value=4339","layer":4},{"info":"compute binary expreesion, left_input=3311, right_input=4339, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=14275","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=5608","layer":3},{"info":"compute binary expreesion, left_input=14275, right_input=5608, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=33498","layer":2},{"info":"compute binary expreesion, left_input=-29187, right_input=33498, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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":12,"result_base":12,"text":"((⋼∭⪍⫖↰⪸3082)⇄⫖↰⪸20A2↼⊘⨖⫖↰⪸23B7)⩼⇪↪((⫖↰⪸2084⫠)⨚(⫖↰⪸222A⫥∨⫟⫖↰⪸6B8))≓∲(⫖↰⪸16BA∷⫖↰⪸2507⊭↱(⫖↰⪸2013↬⩅∪))≹⇙⪍(⫖↰⪸1ABB⊨⫖↰⪸2617⨑≵⋬(⊵⊁⫖↰⪸789))=NaN","reverse_text":"NaN=((⋼∭⪍⫖↰⪸3082)⇄⫖↰⪸20A2↼⊘⨖⫖↰⪸23B7)⩼⇪↪((⫖↰⪸2084⫠)⨚(⫖↰⪸222A⫥∨⫟⫖↰⪸6B8))≓∲(⫖↰⪸16BA∷⫖↰⪸2507⊭↱(⫖↰⪸2013↬⩅∪))≹⇙⪍(⫖↰⪸1ABB⊨⫖↰⪸2617⨑≵⋬(⊵⊁⫖↰⪸789))","cot":[{"info":"⋼∭⪍⫖↰⪸3082=⫖↰⪸-B278","layer":3},{"info":"⫖↰⪸20A2↼⊘⨖⫖↰⪸23B7=⫖↰⪸4648","layer":3},{"info":"⫖↰⪸-B278⇄⫖↰⪸4648=⫖↰⪸-4304","layer":2},{"info":"⫖↰⪸2084⫠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸222A⫥∨⫟⫖↰⪸6B8=NaN","layer":3},{"info":"⫖↰⪸0⨚NaN=NaN","layer":2},{"info":"⫖↰⪸-4304⩼⇪↪NaN=NaN","layer":1},{"info":"⫖↰⪸16BA∷⫖↰⪸2507=⫖↰⪸2507","layer":3},{"info":"⫖↰⪸2013↬⩅∪=⫖↰⪸-6039","layer":3},{"info":"⫖↰⪸2507⊭↱⫖↰⪸-6039=⫖↰⪸-14A83","layer":2},{"info":"⫖↰⪸1ABB⊨⫖↰⪸2617=⫖↰⪸8317","layer":3},{"info":"⊵⊁⫖↰⪸789=⫖↰⪸32B4","layer":3},{"info":"⫖↰⪸8317⨑≵⋬⫖↰⪸32B4=⫖↰⪸17476","layer":2},{"info":"⫖↰⪸-14A83≹⇙⪍⫖↰⪸17476=NaN","layer":1},{"info":"NaN≓∲NaN=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"(($1469$↺$3689$)⋳⪒(≘$2895$))↳≱(⇖⫷⫕$5643$∓⋝$6142$)⫦⪉(∓$6113$∣$1118$)⋓$5658$⪘⫢$1345$⇌⫙⪟$4474$⩌⋺$2144$","expression":"((⫖↰⪸A25↺⫖↰⪸2175)⋳⪒(≘⫖↰⪸1813))↳≱(⇖⫷⫕⫖↰⪸3323∓⋝⫖↰⪸367A)⫦⪉(∓⫖↰⪸3655∣⫖↰⪸792)⋓⫖↰⪸3336⪘⫢⫖↰⪸941⇌⫙⪟⫖↰⪸270A⩌⋺⫖↰⪸12A8","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1140,"operation_count":13,"complexity_ratio":87.6923076923077,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1469,"base":12},"right_expr":{"type":"numeric_atoms","value":3689,"base":12}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2895,"base":12}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5643,"base":12},"right_expr":{"type":"numeric_atoms","value":6142,"base":12}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6113,"base":12},"right_expr":{"type":"numeric_atoms","value":1118,"base":12}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5658,"base":12},"right_expr":{"type":"numeric_atoms","value":1345,"base":12}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4474,"base":12},"right_expr":{"type":"numeric_atoms","value":2144,"base":12}}}}},"used_operators":["wscyQdcy20","JwTKLfZU96","12rbrZMWeM","7j4O788W3g","tcjXMdvYtA","UHmRx3INFg","PoHhknlbAi","T2fj7uvVaJ","OwUj7dcsQK","PPChnnnBFF","AFVx7xoS7T","oacrs7FA3X","g7Hmc5v1ko"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⫖↰⪸2A04","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1469","layer":4},{"info":"number node, value=3689","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=3689, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3689","layer":3},{"info":"number node, value=2895","layer":4},{"info":"compute unary expreesion, input=2895, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6384259","layer":3},{"info":"compute binary expreesion, left_input=3689, right_input=6384259, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6377168","layer":2},{"info":"number node, value=5643","layer":4},{"info":"number node, value=6142","layer":4},{"info":"compute binary expreesion, left_input=5643, right_input=6142, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-6377168, right_input=2822, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=6113","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=6113, right_input=1118, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6113","layer":3},{"info":"compute unary expreesion, input=6113, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-96567","layer":2},{"info":"number node, value=5658","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=5658, right_input=1345, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11192","layer":3},{"info":"number node, value=4474","layer":4},{"info":"number node, value=2144","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=2144, 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=-6739","layer":3},{"info":"compute binary expreesion, left_input=11192, right_input=-6739, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=11347","layer":2},{"info":"compute binary expreesion, left_input=-96567, right_input=11347, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A25↺⫖↰⪸2175)⋳⪒(≘⫖↰⪸1813))↳≱(⇖⫷⫕⫖↰⪸3323∓⋝⫖↰⪸367A)⫦⪉(∓⫖↰⪸3655∣⫖↰⪸792)⋓⫖↰⪸3336⪘⫢⫖↰⪸941⇌⫙⪟⫖↰⪸270A⩌⋺⫖↰⪸12A8=⫖↰⪸2A04","reverse_text":"⫖↰⪸2A04=((⫖↰⪸A25↺⫖↰⪸2175)⋳⪒(≘⫖↰⪸1813))↳≱(⇖⫷⫕⫖↰⪸3323∓⋝⫖↰⪸367A)⫦⪉(∓⫖↰⪸3655∣⫖↰⪸792)⋓⫖↰⪸3336⪘⫢⫖↰⪸941⇌⫙⪟⫖↰⪸270A⩌⋺⫖↰⪸12A8","cot":[{"info":"⫖↰⪸A25↺⫖↰⪸2175=⫖↰⪸2175","layer":3},{"info":"≘⫖↰⪸1813=⫖↰⪸217A717","layer":3},{"info":"⫖↰⪸2175⋳⪒⫖↰⪸217A717=⫖↰⪸-21765A8","layer":2},{"info":"⫖↰⪸3323∓⋝⫖↰⪸367A=⫖↰⪸57","layer":3},{"info":"⇖⫷⫕⫖↰⪸57=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸-21765A8↳≱⫖↰⪸1772=⫖↰⪸0","layer":1},{"info":"⫖↰⪸3655∣⫖↰⪸792=⫖↰⪸3655","layer":3},{"info":"∓⫖↰⪸3655=⫖↰⪸-47A73","layer":2},{"info":"⫖↰⪸3336⪘⫢⫖↰⪸941=⫖↰⪸6588","layer":3},{"info":"⫖↰⪸270A⩌⋺⫖↰⪸12A8=⫖↰⪸-3A97","layer":3},{"info":"⫖↰⪸6588⇌⫙⪟⫖↰⪸-3A97=⫖↰⪸6697","layer":2},{"info":"⫖↰⪸-47A73⋓⫖↰⪸6697=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⫦⪉⫖↰⪸0=⫖↰⪸2A04","layer":0}]}
{"id":682,"expression_no_base_symbol":"⇤←($8734$⊝⪿⪼$2958$)∋($4938$⊀⩕)↬$3830$⩌⋺$5254$⩇∃⫛$1051$∀⇚≩$5960$","expression":"⇤←(⫖↰⪸507A⊝⪿⪼⫖↰⪸1866)∋(⫖↰⪸2A36⊀⩕)↬⫖↰⪸2272⩌⋺⫖↰⪸305A⩇∃⫛⫖↰⪸737∀⇚≩⫖↰⪸3548","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8725,"operation_count":8,"complexity_ratio":1090.625,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":8734,"base":12},"right_expr":{"type":"numeric_atoms","value":2958,"base":12}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":4938,"base":12}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3830,"base":12},"right_expr":{"type":"numeric_atoms","value":5254,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":5960,"base":12}}}}},"used_operators":["jfAgQ2OQeM","B5M0gjZbta","ukq6epAj5P","3Oe9XWJUTD","r0FS3hW4cC","1aApVXNlOP","g7Hmc5v1ko","LRNGc0VcxI"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","rGHVDoGpnC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","nhYeJWJD5X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8734","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=8734, right_input=2958, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=117470","layer":3},{"info":"number node, value=4938","layer":4},{"info":"compute unary expreesion, input=4938, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=117470, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6054768","layer":2},{"info":"number node, value=3830","layer":4},{"info":"number node, value=5254","layer":4},{"info":"compute binary expreesion, left_input=3830, right_input=5254, 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=-9205","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=5960","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=5960, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9205, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6054768, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇤←(⫖↰⪸507A⊝⪿⪼⫖↰⪸1866)∋(⫖↰⪸2A36⊀⩕)↬⫖↰⪸2272⩌⋺⫖↰⪸305A⩇∃⫛⫖↰⪸737∀⇚≩⫖↰⪸3548=NaN","reverse_text":"NaN=⇤←(⫖↰⪸507A⊝⪿⪼⫖↰⪸1866)∋(⫖↰⪸2A36⊀⩕)↬⫖↰⪸2272⩌⋺⫖↰⪸305A⩇∃⫛⫖↰⪸737∀⇚≩⫖↰⪸3548","cot":[{"info":"⫖↰⪸507A⊝⪿⪼⫖↰⪸1866=⫖↰⪸57B92","layer":3},{"info":"⫖↰⪸2A36⊀⩕=⫖↰⪸0","layer":3},{"info":"⫖↰⪸57B92∋⫖↰⪸0=⫖↰⪸203BB00","layer":2},{"info":"⫖↰⪸2272⩌⋺⫖↰⪸305A=⫖↰⪸-53B1","layer":3},{"info":"⫖↰⪸737∀⇚≩⫖↰⪸3548=NaN","layer":3},{"info":"⫖↰⪸-53B1⩇∃⫛NaN=NaN","layer":2},{"info":"⫖↰⪸203BB00↬NaN=NaN","layer":1},{"info":"⇤←NaN=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"((⪫⨮⊛($2833$∌$7507$))⨶)⩷∴((($1533$⨁⊸⫻)⪄$4490$⪬$3921$)≭((→⩰$5392$)⫥∨⫟$3440$≎⪠$1326$))","expression":"((⪫⨮⊛(⫖↰⪸1781∌⫖↰⪸4417))⨶)⩷∴(((⫖↰⪸A79⨁⊸⫻)⪄⫖↰⪸2722⪬⫖↰⪸2329)≭((→⩰⫖↰⪸3154)⫥∨⫟⫖↰⪸1BA8≎⪠⫖↰⪸926))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":176085,"operation_count":11,"complexity_ratio":16007.727272727272,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2833,"base":12},"right_expr":{"type":"numeric_atoms","value":7507,"base":12}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1533,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4490,"base":12},"right_expr":{"type":"numeric_atoms","value":3921,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":5392,"base":12}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3440,"base":12},"right_expr":{"type":"numeric_atoms","value":1326,"base":12}}}}},"used_operators":["9FxExcQeMw","rFxw8gIMmB","w5FWba1tyO","8cLx32lpNA","rxpJgHHUmx","SUmda5xLS4","glklzrTFfD","Ez1Nq5fNfI","KYD54nUTWz","o8Pngz0Tml","aNhz54LH3e"],"dependent_operators":["rysDP5nf3Z","f6k1SAg4EE","Qy55tPpLXF","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2833","layer":4},{"info":"number node, value=7507","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=7507, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-7507","layer":3},{"info":"compute unary expreesion, input=-7507, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":1},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1533","layer":3},{"info":"number node, value=4490","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=4490, right_input=3921, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1533, right_input=1234, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-227909","layer":2},{"info":"number node, value=5392","layer":4},{"info":"compute unary expreesion, input=5392, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=3440","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=3440, right_input=1326, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-227909, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⪫⨮⊛(⫖↰⪸1781∌⫖↰⪸4417))⨶)⩷∴(((⫖↰⪸A79⨁⊸⫻)⪄⫖↰⪸2722⪬⫖↰⪸2329)≭((→⩰⫖↰⪸3154)⫥∨⫟⫖↰⪸1BA8≎⪠⫖↰⪸926))=NaN","reverse_text":"NaN=((⪫⨮⊛(⫖↰⪸1781∌⫖↰⪸4417))⨶)⩷∴(((⫖↰⪸A79⨁⊸⫻)⪄⫖↰⪸2722⪬⫖↰⪸2329)≭((→⩰⫖↰⪸3154)⫥∨⫟⫖↰⪸1BA8≎⪠⫖↰⪸926))","cot":[{"info":"⫖↰⪸1781∌⫖↰⪸4417=⫖↰⪸-4417","layer":3},{"info":"⪫⨮⊛⫖↰⪸-4417=NaN","layer":2},{"info":"NaN⨶=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸A79⨁⊸⫻=⫖↰⪸A79","layer":3},{"info":"⫖↰⪸2722⪬⫖↰⪸2329=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸A79⪄⫖↰⪸86A=⫖↰⪸-ABA85","layer":2},{"info":"→⩰⫖↰⪸3154=NaN","layer":3},{"info":"⫖↰⪸1BA8≎⪠⫖↰⪸926=⫖↰⪸B39A","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸B39A=NaN","layer":2},{"info":"⫖↰⪸-ABA85≭NaN=NaN","layer":1},{"info":"⫖↰⪸-B2⩷∴NaN=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"($1485$⨎$1681$⨵⪆$7355$∴$2077$∕⩚($2314$⪪$7119$)⋹⋡⊁$3644$⨂≜$3968$)≬⇓(⫛⫱⨽($6185$∀⇚≩$3623$))⨔⇊(($1555$⨀⨒)⋥≓≎(↽≂$7070$))","expression":"(⫖↰⪸A39⨎⫖↰⪸B81⨵⪆⫖↰⪸430B∴⫖↰⪸1251∕⩚(⫖↰⪸140A⪪⫖↰⪸4153)⋹⋡⊁⫖↰⪸2138⨂≜⫖↰⪸2368)≬⇓(⫛⫱⨽(⫖↰⪸36B5∀⇚≩⫖↰⪸211B))⨔⇊((⫖↰⪸A97⨀⨒)⋥≓≎(↽≂⫖↰⪸4112))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":55431,"operation_count":14,"complexity_ratio":3959.3571428571427,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1485,"base":12},"right_expr":{"type":"numeric_atoms","value":1681,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":7355,"base":12},"right_expr":{"type":"numeric_atoms","value":2077,"base":12}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2314,"base":12},"right_expr":{"type":"numeric_atoms","value":7119,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3644,"base":12},"right_expr":{"type":"numeric_atoms","value":3968,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6185,"base":12},"right_expr":{"type":"numeric_atoms","value":3623,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1555,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7070,"base":12}}}}},"used_operators":["jWTQ2TZYIH","z9ffQ9n5Zr","2DQ55sFlQl","rJVOvQCfKK","hrf7POJlIJ","As8RqfVLgs","xD69zh8xqp","k1SHOSEABc","JclMnS0uGI","DlLNRPXxWL","LRNGc0VcxI","Qy55tPpLXF","j6NVkjMzuk","u6S6b8DprG"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1485","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1681, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1681","layer":3},{"info":"number node, value=7355","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=7355, right_input=2077, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=16358","layer":3},{"info":"compute binary expreesion, left_input=1681, right_input=16358, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2314","layer":4},{"info":"number node, value=7119","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=7119, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-345503","layer":3},{"info":"number node, value=3644","layer":4},{"info":"number node, value=3968","layer":4},{"info":"compute binary expreesion, left_input=3644, right_input=3968, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-345503, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5527786","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=5527786, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-163","layer":1},{"info":"number node, value=6185","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=6185, right_input=3623, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=18502","layer":3},{"info":"number node, value=7070","layer":4},{"info":"compute unary expreesion, input=7070, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14140","layer":3},{"info":"compute binary expreesion, left_input=18502, right_input=-14140, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-46749","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-46749, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-163, right_input=67, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A39⨎⫖↰⪸B81⨵⪆⫖↰⪸430B∴⫖↰⪸1251∕⩚(⫖↰⪸140A⪪⫖↰⪸4153)⋹⋡⊁⫖↰⪸2138⨂≜⫖↰⪸2368)≬⇓(⫛⫱⨽(⫖↰⪸36B5∀⇚≩⫖↰⪸211B))⨔⇊((⫖↰⪸A97⨀⨒)⋥≓≎(↽≂⫖↰⪸4112))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸A39⨎⫖↰⪸B81⨵⪆⫖↰⪸430B∴⫖↰⪸1251∕⩚(⫖↰⪸140A⪪⫖↰⪸4153)⋹⋡⊁⫖↰⪸2138⨂≜⫖↰⪸2368)≬⇓(⫛⫱⨽(⫖↰⪸36B5∀⇚≩⫖↰⪸211B))⨔⇊((⫖↰⪸A97⨀⨒)⋥≓≎(↽≂⫖↰⪸4112))","cot":[{"info":"⫖↰⪸A39⨎⫖↰⪸B81=⫖↰⪸B81","layer":3},{"info":"⫖↰⪸430B∴⫖↰⪸1251=⫖↰⪸9572","layer":3},{"info":"⫖↰⪸B81⨵⪆⫖↰⪸9572=⫖↰⪸114","layer":2},{"info":"⫖↰⪸140A⪪⫖↰⪸4153=⫖↰⪸-147B3B","layer":3},{"info":"⫖↰⪸2138⨂≜⫖↰⪸2368=NaN","layer":3},{"info":"⫖↰⪸-147B3B⋹⋡⊁NaN=⫖↰⪸1A26B4A","layer":2},{"info":"⫖↰⪸114∕⩚⫖↰⪸1A26B4A=⫖↰⪸-117","layer":1},{"info":"⫖↰⪸36B5∀⇚≩⫖↰⪸211B=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⫖↰⪸A97⨀⨒=⫖↰⪸A85A","layer":3},{"info":"↽≂⫖↰⪸4112=⫖↰⪸-8224","layer":3},{"info":"⫖↰⪸A85A⋥≓≎⫖↰⪸-8224=⫖↰⪸-23079","layer":2},{"info":"NaN⨔⇊⫖↰⪸-23079=⫖↰⪸57","layer":1},{"info":"⫖↰⪸-117≬⇓⫖↰⪸57=⫖↰⪸0","layer":0}]}
{"id":685,"expression_no_base_symbol":"(⇐((⪓⩚$5307$)⊉↱≁($1204$⋥⋵⩄$5948$)))⨥⫆(($3231$⩘$7463$)↢($9840$⊢$1305$)⫚↹⊑$3628$≎⊠⪸$5555$⊹∫⫚$7711$⫞⩸⩒$2344$)","expression":"(⇐((⪓⩚⫖↰⪸30A3)⊉↱≁(⫖↰⪸844⋥⋵⩄⫖↰⪸3538)))⨥⫆((⫖↰⪸1A53⩘⫖↰⪸439B)↢(⫖↰⪸5840⊢⫖↰⪸909)⫚↹⊑⫖↰⪸2124≎⊠⪸⫖↰⪸326B⊹∫⫚⫖↰⪸4567⫞⩸⩒⫖↰⪸1434)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3935,"operation_count":12,"complexity_ratio":327.9166666666667,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":5307,"base":12}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1204,"base":12},"right_expr":{"type":"numeric_atoms","value":5948,"base":12}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3231,"base":12},"right_expr":{"type":"numeric_atoms","value":7463,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":9840,"base":12},"right_expr":{"type":"numeric_atoms","value":1305,"base":12}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3628,"base":12},"right_expr":{"type":"numeric_atoms","value":5555,"base":12}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":7711,"base":12},"right_expr":{"type":"numeric_atoms","value":2344,"base":12}}}}},"used_operators":["yXekIHxTD4","nmZMaaE0Q9","w2P8NbNXyL","u0R0Locfp2","7t3wd0Fuz7","dfKe02y8D2","WR6HLWljOP","cHh1gJQ2o6","5twsqlHp2o","uWAJUKEvyW","bJkvcejdHO","XGcMNugi78"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5307","layer":4},{"info":"compute unary expreesion, input=5307, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1204","layer":4},{"info":"number node, value=5948","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=5948, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=113, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=3530","layer":2},{"info":"compute unary expreesion, input=3530, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=8406","layer":1},{"info":"number node, value=3231","layer":4},{"info":"number node, value=7463","layer":4},{"info":"compute binary expreesion, left_input=3231, right_input=7463, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=9840","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=9840, right_input=1305, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-19924","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-19924, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"number node, value=3628","layer":4},{"info":"number node, value=5555","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=5555, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=939179","layer":3},{"info":"number node, value=7711","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=7711, right_input=2344, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2344","layer":3},{"info":"compute binary expreesion, left_input=939179, right_input=2344, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-128","layer":2},{"info":"compute binary expreesion, left_input=-484, right_input=-128, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=8406, right_input=-447, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⇐((⪓⩚⫖↰⪸30A3)⊉↱≁(⫖↰⪸844⋥⋵⩄⫖↰⪸3538)))⨥⫆((⫖↰⪸1A53⩘⫖↰⪸439B)↢(⫖↰⪸5840⊢⫖↰⪸909)⫚↹⊑⫖↰⪸2124≎⊠⪸⫖↰⪸326B⊹∫⫚⫖↰⪸4567⫞⩸⩒⫖↰⪸1434)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⇐((⪓⩚⫖↰⪸30A3)⊉↱≁(⫖↰⪸844⋥⋵⩄⫖↰⪸3538)))⨥⫆((⫖↰⪸1A53⩘⫖↰⪸439B)↢(⫖↰⪸5840⊢⫖↰⪸909)⫚↹⊑⫖↰⪸2124≎⊠⪸⫖↰⪸326B⊹∫⫚⫖↰⪸4567⫞⩸⩒⫖↰⪸1434)","cot":[{"info":"⪓⩚⫖↰⪸30A3=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸844⋥⋵⩄⫖↰⪸3538=⫖↰⪸95","layer":3},{"info":"⫖↰⪸2B6⊉↱≁⫖↰⪸95=⫖↰⪸2062","layer":2},{"info":"⇐⫖↰⪸2062=⫖↰⪸4A46","layer":1},{"info":"⫖↰⪸1A53⩘⫖↰⪸439B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸5840⊢⫖↰⪸909=⫖↰⪸-B644","layer":3},{"info":"⫖↰⪸114↢⫖↰⪸-B644=⫖↰⪸-344","layer":2},{"info":"⫖↰⪸2124≎⊠⪸⫖↰⪸326B=⫖↰⪸39360B","layer":3},{"info":"⫖↰⪸4567⫞⩸⩒⫖↰⪸1434=⫖↰⪸1434","layer":3},{"info":"⫖↰⪸39360B⊹∫⫚⫖↰⪸1434=⫖↰⪸-A8","layer":2},{"info":"⫖↰⪸-344⫚↹⊑⫖↰⪸-A8=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸4A46⨥⫆⫖↰⪸-313=⫖↰⪸0","layer":0}]}
{"id":686,"expression_no_base_symbol":"(≘(($1682$⋓$2822$)⋾⨃∁($2549$⪠⩆⊳)))⇴∐(($5887$⋥⋵⩄$2717$)↤⩊($8138$∥⊢⊲$3059$)⩨$1267$⨽∌$2363$⇴$1048$≁↽≥$7593$)","expression":"(≘((⫖↰⪸B82⋓⫖↰⪸1772)⋾⨃∁(⫖↰⪸1585⪠⩆⊳)))⇴∐((⫖↰⪸34A7⋥⋵⩄⫖↰⪸16A5)↤⩊(⫖↰⪸4862∥⊢⊲⫖↰⪸192B)⩨⫖↰⪸897⨽∌⫖↰⪸144B⇴⫖↰⪸734≁↽≥⫖↰⪸4489)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":534,"operation_count":12,"complexity_ratio":44.5,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1682,"base":12},"right_expr":{"type":"numeric_atoms","value":2822,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2549,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5887,"base":12},"right_expr":{"type":"numeric_atoms","value":2717,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":8138,"base":12},"right_expr":{"type":"numeric_atoms","value":3059,"base":12}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1267,"base":12},"right_expr":{"type":"numeric_atoms","value":2363,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":7593,"base":12}}}}},"used_operators":["HnzytWxmAO","tcjXMdvYtA","212REbPD9h","T2fj7uvVaJ","JLbD19bQDL","2DlMacCsIx","13rbtpv6ld","7t3wd0Fuz7","v1UQAVDJRr","4JB6nKBMSY","9samAPKr6k","ncHt1X6cMc"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","EBcxylXtPf","rGHVDoGpnC","sdazOOVcIp","NTOWxs364D","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1682","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=2822, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2549","layer":4},{"info":"compute unary expreesion, input=2549, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":2},{"info":"compute unary expreesion, input=-94, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=56542","layer":1},{"info":"number node, value=5887","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=5887, right_input=2717, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=8138","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=8138, right_input=3059, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1267","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=2363, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=7593","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=7593, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25652","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=25652, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=50918","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=50918, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=56542, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≘((⫖↰⪸B82⋓⫖↰⪸1772)⋾⨃∁(⫖↰⪸1585⪠⩆⊳)))⇴∐((⫖↰⪸34A7⋥⋵⩄⫖↰⪸16A5)↤⩊(⫖↰⪸4862∥⊢⊲⫖↰⪸192B)⩨⫖↰⪸897⨽∌⫖↰⪸144B⇴⫖↰⪸734≁↽≥⫖↰⪸4489)=NaN","reverse_text":"NaN=(≘((⫖↰⪸B82⋓⫖↰⪸1772)⋾⨃∁(⫖↰⪸1585⪠⩆⊳)))⇴∐((⫖↰⪸34A7⋥⋵⩄⫖↰⪸16A5)↤⩊(⫖↰⪸4862∥⊢⊲⫖↰⪸192B)⩨⫖↰⪸897⨽∌⫖↰⪸144B⇴⫖↰⪸734≁↽≥⫖↰⪸4489)","cot":[{"info":"⫖↰⪸B82⋓⫖↰⪸1772=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1585⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⋾⨃∁⫖↰⪸0=⫖↰⪸-7A","layer":2},{"info":"≘⫖↰⪸-7A=⫖↰⪸2887A","layer":1},{"info":"⫖↰⪸34A7⋥⋵⩄⫖↰⪸16A5=⫖↰⪸95","layer":3},{"info":"⫖↰⪸4862∥⊢⊲⫖↰⪸192B=NaN","layer":3},{"info":"⫖↰⪸95↤⩊NaN=NaN","layer":2},{"info":"⫖↰⪸897⨽∌⫖↰⪸144B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸734≁↽≥⫖↰⪸4489=⫖↰⪸12A18","layer":3},{"info":"⫖↰⪸0⇴⫖↰⪸12A18=⫖↰⪸25572","layer":2},{"info":"NaN⩨⫖↰⪸25572=NaN","layer":1},{"info":"⫖↰⪸2887A⇴∐NaN=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"(($7869$∝$2088$)⪎↠($2405$⪨≂$6190$)⪊≅)⫸⇳(≪$1615$)⪚$4235$⇤$1176$⨻⩈⩔($1117$⨂≜$2121$⇮⋭$1815$⋾⨃∁$4415$)","expression":"((⫖↰⪸4679∝⫖↰⪸1260)⪎↠(⫖↰⪸1485⪨≂⫖↰⪸36BA)⪊≅)⫸⇳(≪⫖↰⪸B27)⪚⫖↰⪸254B⇤⫖↰⪸820⨻⩈⩔(⫖↰⪸791⨂≜⫖↰⪸1289⇮⋭⫖↰⪸1073⋾⨃∁⫖↰⪸267B)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5853,"operation_count":12,"complexity_ratio":487.75,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":7869,"base":12},"right_expr":{"type":"numeric_atoms","value":2088,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2405,"base":12},"right_expr":{"type":"numeric_atoms","value":6190,"base":12}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1615,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4235,"base":12},"right_expr":{"type":"numeric_atoms","value":1176,"base":12}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1117,"base":12},"right_expr":{"type":"numeric_atoms","value":2121,"base":12}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1815,"base":12},"right_expr":{"type":"numeric_atoms","value":4415,"base":12}}}}},"used_operators":["gx7XJ7hdpj","bjFbhXSADs","3tVxb0NHM4","cTDWOvIxvz","sdazOOVcIp","nEsXyWgiOK","HrjLwUk87U","Qtd6bqUJcN","YSKBFp38Pu","vkpjKywKVM","k1SHOSEABc","212REbPD9h"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7869","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=7869, right_input=2088, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=7874","layer":3},{"info":"number node, value=2405","layer":4},{"info":"number node, value=6190","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=6190, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7468","layer":3},{"info":"compute binary expreesion, left_input=7874, right_input=-7468, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=4235","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=4235, right_input=1176, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-24207","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-24207, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=49884","layer":2},{"info":"number node, value=1117","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=2121, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=4415, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=194869176","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=194869176, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=49884, right_input=67, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=390671","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=390671, 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":12,"result_base":12,"text":"((⫖↰⪸4679∝⫖↰⪸1260)⪎↠(⫖↰⪸1485⪨≂⫖↰⪸36BA)⪊≅)⫸⇳(≪⫖↰⪸B27)⪚⫖↰⪸254B⇤⫖↰⪸820⨻⩈⩔(⫖↰⪸791⨂≜⫖↰⪸1289⇮⋭⫖↰⪸1073⋾⨃∁⫖↰⪸267B)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸4679∝⫖↰⪸1260)⪎↠(⫖↰⪸1485⪨≂⫖↰⪸36BA)⪊≅)⫸⇳(≪⫖↰⪸B27)⪚⫖↰⪸254B⇤⫖↰⪸820⨻⩈⩔(⫖↰⪸791⨂≜⫖↰⪸1289⇮⋭⫖↰⪸1073⋾⨃∁⫖↰⪸267B)","cot":[{"info":"⫖↰⪸4679∝⫖↰⪸1260=⫖↰⪸4682","layer":3},{"info":"⫖↰⪸1485⪨≂⫖↰⪸36BA=⫖↰⪸-43A4","layer":3},{"info":"⫖↰⪸4682⪎↠⫖↰⪸-43A4=⫖↰⪸114","layer":2},{"info":"⫖↰⪸114⪊≅=⫖↰⪸0","layer":1},{"info":"≪⫖↰⪸B27=⫖↰⪸641","layer":3},{"info":"⫖↰⪸254B⇤⫖↰⪸820=⫖↰⪸-12013","layer":3},{"info":"⫖↰⪸641⪚⫖↰⪸-12013=⫖↰⪸24A50","layer":2},{"info":"⫖↰⪸791⨂≜⫖↰⪸1289=NaN","layer":3},{"info":"⫖↰⪸1073⋾⨃∁⫖↰⪸267B=⫖↰⪸55317620","layer":3},{"info":"NaN⇮⋭⫖↰⪸55317620=⫖↰⪸57","layer":2},{"info":"⫖↰⪸24A50⨻⩈⩔⫖↰⪸57=⫖↰⪸16A0BB","layer":1},{"info":"⫖↰⪸0⫸⇳⫖↰⪸16A0BB=⫖↰⪸0","layer":0}]}
{"id":688,"expression_no_base_symbol":"⇋⊎⋝(∮($1896$⪥$3016$⊲⩕⊾($2681$⫰⋱$2748$)))","expression":"⇋⊎⋝(∮(⫖↰⪸1120⪥⫖↰⪸18B4⊲⩕⊾(⫖↰⪸1675⫰⋱⫖↰⪸1710)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":372990,"operation_count":5,"complexity_ratio":74598.0,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1896,"base":12},"right_expr":{"type":"numeric_atoms","value":3016,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2681,"base":12},"right_expr":{"type":"numeric_atoms","value":2748,"base":12}}}}},"used_operators":["CzM2PEoXns","CqXKPLVYql","DmTXOeWf9t","QbnwKVWMIQ","6o9Blt3TJ6"],"dependent_operators":["dWAJyo7jo9","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1896","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=3016, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12236","layer":3},{"info":"number node, value=2681","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=2748, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2648","layer":3},{"info":"compute binary expreesion, left_input=12236, right_input=-2648, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-134286","layer":2},{"info":"compute unary expreesion, input=-134286, 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=-372422","layer":1},{"info":"compute unary expreesion, input=-372422, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇋⊎⋝(∮(⫖↰⪸1120⪥⫖↰⪸18B4⊲⩕⊾(⫖↰⪸1675⫰⋱⫖↰⪸1710)))=NaN","reverse_text":"NaN=⇋⊎⋝(∮(⫖↰⪸1120⪥⫖↰⪸18B4⊲⩕⊾(⫖↰⪸1675⫰⋱⫖↰⪸1710)))","cot":[{"info":"⫖↰⪸1120⪥⫖↰⪸18B4=⫖↰⪸70B8","layer":3},{"info":"⫖↰⪸1675⫰⋱⫖↰⪸1710=⫖↰⪸-1648","layer":3},{"info":"⫖↰⪸70B8⊲⩕⊾⫖↰⪸-1648=⫖↰⪸-65866","layer":2},{"info":"∮⫖↰⪸-65866=⫖↰⪸-15B632","layer":1},{"info":"⇋⊎⋝⫖↰⪸-15B632=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"⇁⨣⪵($1881$⩁⩘$2671$)⫯⪬∳($2294$⫲≸⪮$1150$)≃$3313$⩦$9198$⪢($8699$⨭⪣$3624$)","expression":"⇁⨣⪵(⫖↰⪸1109⩁⩘⫖↰⪸1667)⫯⪬∳(⫖↰⪸13B2⫲≸⪮⫖↰⪸7BA)≃⫖↰⪸1B01⩦⫖↰⪸53A6⪢(⫖↰⪸504B⨭⪣⫖↰⪸2120)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10226,"operation_count":8,"complexity_ratio":1278.25,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1881,"base":12},"right_expr":{"type":"numeric_atoms","value":2671,"base":12}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2294,"base":12},"right_expr":{"type":"numeric_atoms","value":1150,"base":12}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3313,"base":12},"right_expr":{"type":"numeric_atoms","value":9198,"base":12}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":8699,"base":12},"right_expr":{"type":"numeric_atoms","value":3624,"base":12}}}}},"used_operators":["inkyxCbjAn","YbVcJGFEVW","d7ASUq0ydm","gub5Cegaqo","P3lXMJvFrc","dWAJyo7jo9","0kmYd0q39Y","kn8WO9XteQ"],"dependent_operators":["B5M0gjZbta","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DpFCA1CohY","IWmyXbctLI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","k8jYdgA6NY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1881","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=2671, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11632","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1150, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2294","layer":3},{"info":"compute binary expreesion, left_input=11632, right_input=2294, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=55899","layer":2},{"info":"number node, value=3313","layer":4},{"info":"number node, value=9198","layer":4},{"info":"compute binary expreesion, left_input=3313, right_input=9198, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6626","layer":3},{"info":"number node, value=8699","layer":4},{"info":"number node, value=3624","layer":4},{"info":"compute binary expreesion, left_input=8699, right_input=3624, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=7420","layer":3},{"info":"compute binary expreesion, left_input=6626, right_input=7420, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=55899, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":1},{"info":"compute unary expreesion, input=69, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⇁⨣⪵(⫖↰⪸1109⩁⩘⫖↰⪸1667)⫯⪬∳(⫖↰⪸13B2⫲≸⪮⫖↰⪸7BA)≃⫖↰⪸1B01⩦⫖↰⪸53A6⪢(⫖↰⪸504B⨭⪣⫖↰⪸2120)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⇁⨣⪵(⫖↰⪸1109⩁⩘⫖↰⪸1667)⫯⪬∳(⫖↰⪸13B2⫲≸⪮⫖↰⪸7BA)≃⫖↰⪸1B01⩦⫖↰⪸53A6⪢(⫖↰⪸504B⨭⪣⫖↰⪸2120)","cot":[{"info":"⫖↰⪸1109⩁⩘⫖↰⪸1667=⫖↰⪸6894","layer":3},{"info":"⫖↰⪸13B2⫲≸⪮⫖↰⪸7BA=⫖↰⪸13B2","layer":3},{"info":"⫖↰⪸6894⫯⪬∳⫖↰⪸13B2=⫖↰⪸28423","layer":2},{"info":"⫖↰⪸1B01⩦⫖↰⪸53A6=⫖↰⪸3A02","layer":3},{"info":"⫖↰⪸504B⨭⪣⫖↰⪸2120=⫖↰⪸4364","layer":3},{"info":"⫖↰⪸3A02⪢⫖↰⪸4364=NaN","layer":2},{"info":"⫖↰⪸28423≃NaN=⫖↰⪸59","layer":1},{"info":"⇁⨣⪵⫖↰⪸59=⫖↰⪸0","layer":0}]}
{"id":690,"expression_no_base_symbol":"⋂($1663$⇌⫙⪟$7483$≒∊($1881$⪛⫼$6335$))⨚($1429$⪭≯$8522$⋳⪒$1109$∊∟⩊$6531$)","expression":"⋂(⫖↰⪸B67⇌⫙⪟⫖↰⪸43B7≒∊(⫖↰⪸1109⪛⫼⫖↰⪸37BB))⨚(⫖↰⪸9B1⪭≯⫖↰⪸4B22⋳⪒⫖↰⪸785∊∟⩊⫖↰⪸3943)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":356,"operation_count":8,"complexity_ratio":44.5,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1663,"base":12},"right_expr":{"type":"numeric_atoms","value":7483,"base":12}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1881,"base":12},"right_expr":{"type":"numeric_atoms","value":6335,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1429,"base":12},"right_expr":{"type":"numeric_atoms","value":8522,"base":12}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1109,"base":12},"right_expr":{"type":"numeric_atoms","value":6531,"base":12}}}}},"used_operators":["BUOGQAYlQx","nREPSIbpBE","5KTvxBwnZo","AFVx7xoS7T","hyuBjUqXlG","12rbrZMWeM","XAx5wpdLa6","ddLRYrp01A"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1663","layer":4},{"info":"number node, value=7483","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=7483, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1881","layer":4},{"info":"number node, value=6335","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=6335, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=968, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=371","layer":2},{"info":"number node, value=1429","layer":4},{"info":"number node, value=8522","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=8522, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=6531","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=6531, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6531, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=371, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⋂(⫖↰⪸B67⇌⫙⪟⫖↰⪸43B7≒∊(⫖↰⪸1109⪛⫼⫖↰⪸37BB))⨚(⫖↰⪸9B1⪭≯⫖↰⪸4B22⋳⪒⫖↰⪸785∊∟⩊⫖↰⪸3943)=NaN","reverse_text":"NaN=⋂(⫖↰⪸B67⇌⫙⪟⫖↰⪸43B7≒∊(⫖↰⪸1109⪛⫼⫖↰⪸37BB))⨚(⫖↰⪸9B1⪭≯⫖↰⪸4B22⋳⪒⫖↰⪸785∊∟⩊⫖↰⪸3943)","cot":[{"info":"⫖↰⪸B67⇌⫙⪟⫖↰⪸43B7=⫖↰⪸95","layer":3},{"info":"⫖↰⪸1109⪛⫼⫖↰⪸37BB=⫖↰⪸688","layer":3},{"info":"⫖↰⪸95≒∊⫖↰⪸688=⫖↰⪸26B","layer":2},{"info":"⫖↰⪸9B1⪭≯⫖↰⪸4B22=NaN","layer":3},{"info":"⫖↰⪸785∊∟⩊⫖↰⪸3943=⫖↰⪸3943","layer":3},{"info":"NaN⋳⪒⫖↰⪸3943=NaN","layer":2},{"info":"⫖↰⪸26B⨚NaN=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"(⨵(↓⇌$1090$⨿$1030$))⊍⩺⋍((⨣⨃⇪(≅≯⇸$2194$))⋫)","expression":"(⨵(↓⇌⫖↰⪸76A⨿⫖↰⪸71A))⊍⩺⋍((⨣⨃⇪(≅≯⇸⫖↰⪸132A))⋫)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1923,"operation_count":7,"complexity_ratio":274.7142857142857,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1090,"base":12},"right_expr":{"type":"numeric_atoms","value":1030,"base":12}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2194,"base":12}}}}},"used_operators":["OXDGMFPWZM","Tl3Y52tvF8","PxpmPgHHJV","abYXlopdE0","JL8yIekQnl","AcOhelriW5","apS25hmuAe"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","tmPS8pqC7x","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1030, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-638","layer":2},{"info":"compute unary expreesion, input=-638, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=18167","layer":1},{"info":"number node, value=2194","layer":4},{"info":"compute unary expreesion, input=2194, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=16453","layer":3},{"info":"compute unary expreesion, input=16453, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute unary expreesion, input=1405, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=18167, right_input=1405, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨵(↓⇌⫖↰⪸76A⨿⫖↰⪸71A))⊍⩺⋍((⨣⨃⇪(≅≯⇸⫖↰⪸132A))⋫)=NaN","reverse_text":"NaN=(⨵(↓⇌⫖↰⪸76A⨿⫖↰⪸71A))⊍⩺⋍((⨣⨃⇪(≅≯⇸⫖↰⪸132A))⋫)","cot":[{"info":"⫖↰⪸76A⨿⫖↰⪸71A=⫖↰⪸-227","layer":3},{"info":"↓⇌⫖↰⪸-227=⫖↰⪸-452","layer":2},{"info":"⨵⫖↰⪸-452=⫖↰⪸A61B","layer":1},{"info":"≅≯⇸⫖↰⪸132A=⫖↰⪸9631","layer":3},{"info":"⨣⨃⇪⫖↰⪸9631=⫖↰⪸991","layer":2},{"info":"⫖↰⪸991⋫=⫖↰⪸991","layer":1},{"info":"⫖↰⪸A61B⊍⩺⋍⫖↰⪸991=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"⇉-⫰(↩(⇾⩊⇾($1674$↺$1060$)))","expression":"⇉-⫰(↩(⇾⩊⇾(⫖↰⪸B76↺⫖↰⪸744)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":43,"operation_count":4,"complexity_ratio":10.75,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1674,"base":12},"right_expr":{"type":"numeric_atoms","value":1060,"base":12}}}}},"used_operators":["IGFM8TAlm9","jLgFTUHLKL","bx9Z9DAK5y","7j4O788W3g"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1674","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=1060, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1060","layer":3},{"info":"compute unary expreesion, input=1060, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-16026","layer":2},{"info":"compute unary expreesion, input=-16026, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=66724","layer":1},{"info":"compute unary expreesion, input=66724, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":12,"result_base":12,"text":"⇉-⫰(↩(⇾⩊⇾(⫖↰⪸B76↺⫖↰⪸744)))=⫖↰⪸18","reverse_text":"⫖↰⪸18=⇉-⫰(↩(⇾⩊⇾(⫖↰⪸B76↺⫖↰⪸744)))","cot":[{"info":"⫖↰⪸B76↺⫖↰⪸744=⫖↰⪸744","layer":3},{"info":"⇾⩊⇾⫖↰⪸744=⫖↰⪸-9336","layer":2},{"info":"↩⫖↰⪸-9336=⫖↰⪸32744","layer":1},{"info":"⇉-⫰⫖↰⪸32744=⫖↰⪸18","layer":0}]}
{"id":693,"expression_no_base_symbol":"(($1359$⋻⩜⩜$9016$)⩤)⪝($2991$⋛$6651$⨎(⊀$4762$))⨔⇊((($2300$⇞)⊍⩺⋍$4841$≨$2193$)⪪($5987$⩖⊿$1346$/$1719$⨥⫆$2166$))","expression":"((⫖↰⪸953⋻⩜⩜⫖↰⪸5274)⩤)⪝(⫖↰⪸1893⋛⫖↰⪸3A23⨎(⊀⫖↰⪸290A))⨔⇊(((⫖↰⪸13B8⇞)⊍⩺⋍⫖↰⪸2975≨⫖↰⪸1329)⪪(⫖↰⪸356B⩖⊿⫖↰⪸942/⫖↰⪸BB3⨥⫆⫖↰⪸1306))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":127340,"operation_count":14,"complexity_ratio":9095.714285714286,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1359,"base":12},"right_expr":{"type":"numeric_atoms","value":9016,"base":12}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2991,"base":12},"right_expr":{"type":"numeric_atoms","value":6651,"base":12}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":4762,"base":12}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":2300,"base":12}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4841,"base":12},"right_expr":{"type":"numeric_atoms","value":2193,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5987,"base":12},"right_expr":{"type":"numeric_atoms","value":1346,"base":12}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1719,"base":12},"right_expr":{"type":"numeric_atoms","value":2166,"base":12}}}}},"used_operators":["JclMnS0uGI","wicAB68Tmb","Z2TMIBDE3Q","oDCm7WA9JY","rJVOvQCfKK","YbUVn0Rbpy","oPMjh9089D","xD69zh8xqp","OXDGMFPWZM","5JYyxRJd4f","0KMCeP1Jsh","XhwjNDsVaA","RZ5CV9rWsJ","yXekIHxTD4"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"number node, value=9016","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=9016, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2718","layer":3},{"info":"compute unary expreesion, input=2718, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2718","layer":2},{"info":"number node, value=2991","layer":4},{"info":"number node, value=6651","layer":4},{"info":"compute binary expreesion, left_input=2991, right_input=6651, 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=-105273","layer":3},{"info":"number node, value=4762","layer":4},{"info":"compute unary expreesion, input=4762, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=18786","layer":3},{"info":"compute binary expreesion, left_input=-105273, right_input=18786, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=18786","layer":2},{"info":"compute binary expreesion, left_input=-2718, right_input=18786, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=2300","layer":4},{"info":"compute unary expreesion, input=2300, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=9113","layer":3},{"info":"number node, value=4841","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=4841, right_input=2193, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-45934","layer":3},{"info":"compute binary expreesion, left_input=9113, right_input=-45934, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=5987","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=5987, right_input=1346, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-13262","layer":3},{"info":"number node, value=1719","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=2166, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4208","layer":3},{"info":"compute binary expreesion, left_input=-13262, right_input=4208, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-4","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=237, 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":12,"result_base":12,"text":"((⫖↰⪸953⋻⩜⩜⫖↰⪸5274)⩤)⪝(⫖↰⪸1893⋛⫖↰⪸3A23⨎(⊀⫖↰⪸290A))⨔⇊(((⫖↰⪸13B8⇞)⊍⩺⋍⫖↰⪸2975≨⫖↰⪸1329)⪪(⫖↰⪸356B⩖⊿⫖↰⪸942/⫖↰⪸BB3⨥⫆⫖↰⪸1306))=NaN","reverse_text":"NaN=((⫖↰⪸953⋻⩜⩜⫖↰⪸5274)⩤)⪝(⫖↰⪸1893⋛⫖↰⪸3A23⨎(⊀⫖↰⪸290A))⨔⇊(((⫖↰⪸13B8⇞)⊍⩺⋍⫖↰⪸2975≨⫖↰⪸1329)⪪(⫖↰⪸356B⩖⊿⫖↰⪸942/⫖↰⪸BB3⨥⫆⫖↰⪸1306))","cot":[{"info":"⫖↰⪸953⋻⩜⩜⫖↰⪸5274=⫖↰⪸16A6","layer":3},{"info":"⫖↰⪸16A6⩤=⫖↰⪸-16A6","layer":2},{"info":"⫖↰⪸1893⋛⫖↰⪸3A23=⫖↰⪸-50B09","layer":3},{"info":"⊀⫖↰⪸290A=⫖↰⪸AA56","layer":3},{"info":"⫖↰⪸-50B09⨎⫖↰⪸AA56=⫖↰⪸AA56","layer":2},{"info":"⫖↰⪸-16A6⪝⫖↰⪸AA56=⫖↰⪸179","layer":1},{"info":"⫖↰⪸13B8⇞=⫖↰⪸5335","layer":3},{"info":"⫖↰⪸2975≨⫖↰⪸1329=⫖↰⪸-226BA","layer":3},{"info":"⫖↰⪸5335⊍⩺⋍⫖↰⪸-226BA=NaN","layer":2},{"info":"⫖↰⪸356B⩖⊿⫖↰⪸942=⫖↰⪸-7812","layer":3},{"info":"⫖↰⪸BB3⨥⫆⫖↰⪸1306=⫖↰⪸2528","layer":3},{"info":"⫖↰⪸-7812/⫖↰⪸2528=⫖↰⪸-4","layer":2},{"info":"NaN⪪⫖↰⪸-4=NaN","layer":1},{"info":"⫖↰⪸179⨔⇊NaN=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"⨰⫟⨤((⫇$3637$⋹⋡⊁$6152$)⨒($1389$⩒⫫$2846$)≨(↩⪖$1575$))","expression":"⨰⫟⨤((⫇⫖↰⪸2131⋹⋡⊁⫖↰⪸3688)⨒(⫖↰⪸979⩒⫫⫖↰⪸1792)≨(↩⪖⫖↰⪸AB3))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":63586,"operation_count":7,"complexity_ratio":9083.714285714286,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3637,"base":12},"right_expr":{"type":"numeric_atoms","value":6152,"base":12}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1389,"base":12},"right_expr":{"type":"numeric_atoms","value":2846,"base":12}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1575,"base":12}}}}},"used_operators":["Tw270M8GLb","y75s1iXyHd","YjI8oCXuph","As8RqfVLgs","0KMCeP1Jsh","KFSx94NKJn","fG6uBQFnGz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⫖↰⪸15B7AA0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3637","layer":4},{"info":"number node, value=6152","layer":4},{"info":"compute binary expreesion, left_input=3637, right_input=6152, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6902","layer":3},{"info":"compute unary expreesion, input=6902, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-12590","layer":2},{"info":"number node, value=1389","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=2846, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1087","layer":3},{"info":"number node, value=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-12432","layer":3},{"info":"compute binary expreesion, left_input=1087, right_input=-12432, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8394","layer":2},{"info":"compute binary expreesion, left_input=-12590, right_input=-8394, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4471896","layer":0}],"base":12,"result_base":12,"text":"⨰⫟⨤((⫇⫖↰⪸2131⋹⋡⊁⫖↰⪸3688)⨒(⫖↰⪸979⩒⫫⫖↰⪸1792)≨(↩⪖⫖↰⪸AB3))=⫖↰⪸15B7AA0","reverse_text":"⫖↰⪸15B7AA0=⨰⫟⨤((⫇⫖↰⪸2131⋹⋡⊁⫖↰⪸3688)⨒(⫖↰⪸979⩒⫫⫖↰⪸1792)≨(↩⪖⫖↰⪸AB3))","cot":[{"info":"⫖↰⪸2131⋹⋡⊁⫖↰⪸3688=⫖↰⪸3BB2","layer":3},{"info":"⫇⫖↰⪸3BB2=⫖↰⪸-7352","layer":2},{"info":"⫖↰⪸979⩒⫫⫖↰⪸1792=⫖↰⪸767","layer":3},{"info":"↩⪖⫖↰⪸AB3=⫖↰⪸-7240","layer":3},{"info":"⫖↰⪸767≨⫖↰⪸-7240=⫖↰⪸-4A36","layer":2},{"info":"⫖↰⪸-7352⨒⫖↰⪸-4A36=⫖↰⪸1","layer":1},{"info":"⨰⫟⨤⫖↰⪸1=⫖↰⪸15B7AA0","layer":0}]}
{"id":695,"expression_no_base_symbol":"⨈⪑((⨑⩽⪐$1375$)⊮⊟↴(∷≠$1313$)⪇≇⋚(⊆⋠($7168$⇼⇔∾$1468$)))","expression":"⨈⪑((⨑⩽⪐⫖↰⪸967)⊮⊟↴(∷≠⫖↰⪸915)⪇≇⋚(⊆⋠(⫖↰⪸4194⇼⇔∾⫖↰⪸A24)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":236,"operation_count":7,"complexity_ratio":33.714285714285715,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1375,"base":12}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1313,"base":12}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7168,"base":12},"right_expr":{"type":"numeric_atoms","value":1468,"base":12}}}}},"used_operators":["mp94q5OcYM","3sJ7IOPOlU","QDVgd2eftb","AF7qkfDlqP","QiR2Oyf5Xj","EBhcHTkKd8","tifHPKVTfV"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","7j4O788W3g","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸604","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"compute unary expreesion, input=1375, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1102","layer":3},{"info":"number node, value=1313","layer":4},{"info":"compute unary expreesion, input=1313, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1313","layer":3},{"info":"compute binary expreesion, left_input=-1102, right_input=1313, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=7168","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=7168, right_input=1468, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5700","layer":3},{"info":"compute unary expreesion, input=-5700, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":12,"result_base":12,"text":"⨈⪑((⨑⩽⪐⫖↰⪸967)⊮⊟↴(∷≠⫖↰⪸915)⪇≇⋚(⊆⋠(⫖↰⪸4194⇼⇔∾⫖↰⪸A24)))=⫖↰⪸604","reverse_text":"⫖↰⪸604=⨈⪑((⨑⩽⪐⫖↰⪸967)⊮⊟↴(∷≠⫖↰⪸915)⪇≇⋚(⊆⋠(⫖↰⪸4194⇼⇔∾⫖↰⪸A24)))","cot":[{"info":"⨑⩽⪐⫖↰⪸967=⫖↰⪸-77A","layer":3},{"info":"∷≠⫖↰⪸915=⫖↰⪸915","layer":3},{"info":"⫖↰⪸-77A⊮⊟↴⫖↰⪸915=⫖↰⪸0","layer":2},{"info":"⫖↰⪸4194⇼⇔∾⫖↰⪸A24=⫖↰⪸-3370","layer":3},{"info":"⊆⋠⫖↰⪸-3370=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸0⪇≇⋚⫖↰⪸2377=⫖↰⪸0","layer":1},{"info":"⨈⪑⫖↰⪸0=⫖↰⪸604","layer":0}]}
{"id":696,"expression_no_base_symbol":"(⫖→($2909$⋥⋵⩄$2198$)⫞⩸⩒($3128$⪨≂$5704$))⨰(∥⊫($2912$⪗)⋥≓≎($3794$↱$1930$))","expression":"(⫖→(⫖↰⪸1825⋥⋵⩄⫖↰⪸1332)⫞⩸⩒(⫖↰⪸1988⪨≂⫖↰⪸3374))⨰(∥⊫(⫖↰⪸1828⪗)⋥≓≎(⫖↰⪸2242↱⫖↰⪸114A))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3305,"operation_count":9,"complexity_ratio":367.22222222222223,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2909,"base":12},"right_expr":{"type":"numeric_atoms","value":2198,"base":12}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3128,"base":12},"right_expr":{"type":"numeric_atoms","value":5704,"base":12}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2912,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3794,"base":12},"right_expr":{"type":"numeric_atoms","value":1930,"base":12}}}}},"used_operators":["eewbuw0ToL","U4ylXWHChL","XGcMNugi78","7t3wd0Fuz7","sdazOOVcIp","P8v4zCKN1o","Qy55tPpLXF","VEQNXA0ZBg","SR5kFfdi6N"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⫖↰⪸-524","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2909","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=2198, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3128","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=5704, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5050","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-5050, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=2912","layer":4},{"info":"compute unary expreesion, input=2912, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3794","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=1930, 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=-5268","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5268, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=935","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=935, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-748","layer":0}],"base":12,"result_base":12,"text":"(⫖→(⫖↰⪸1825⋥⋵⩄⫖↰⪸1332)⫞⩸⩒(⫖↰⪸1988⪨≂⫖↰⪸3374))⨰(∥⊫(⫖↰⪸1828⪗)⋥≓≎(⫖↰⪸2242↱⫖↰⪸114A))=⫖↰⪸-524","reverse_text":"⫖↰⪸-524=(⫖→(⫖↰⪸1825⋥⋵⩄⫖↰⪸1332)⫞⩸⩒(⫖↰⪸1988⪨≂⫖↰⪸3374))⨰(∥⊫(⫖↰⪸1828⪗)⋥≓≎(⫖↰⪸2242↱⫖↰⪸114A))","cot":[{"info":"⫖↰⪸1825⋥⋵⩄⫖↰⪸1332=⫖↰⪸95","layer":3},{"info":"⫖↰⪸1988⪨≂⫖↰⪸3374=⫖↰⪸-2B0A","layer":3},{"info":"⫖↰⪸95⫞⩸⩒⫖↰⪸-2B0A=⫖↰⪸95","layer":2},{"info":"⫖→⫖↰⪸95=⫖↰⪸129","layer":1},{"info":"⫖↰⪸1828⪗=NaN","layer":3},{"info":"⫖↰⪸2242↱⫖↰⪸114A=⫖↰⪸-3070","layer":3},{"info":"NaN⋥≓≎⫖↰⪸-3070=⫖↰⪸57","layer":2},{"info":"∥⊫⫖↰⪸57=⫖↰⪸65B","layer":1},{"info":"⫖↰⪸129⨰⫖↰⪸65B=⫖↰⪸-524","layer":0}]}
{"id":697,"expression_no_base_symbol":"($5263$⨵⪆$1108$)⫘($1245$⪥$2328$)∙∹∝$2891$∣$2666$⪮%⊝$7371$⨔⇊$2714$∽(⩒∊($4989$≬⋮$6766$))⫁⪎(($3298$*$5928$)⋳⪒$7620$⇌⫙⪟$2936$)","expression":"(⫖↰⪸3067⨵⪆⫖↰⪸784)⫘(⫖↰⪸879⪥⫖↰⪸1420)∙∹∝⫖↰⪸180B∣⫖↰⪸1662⪮%⊝⫖↰⪸4323⨔⇊⫖↰⪸16A2∽(⩒∊(⫖↰⪸2A79≬⋮⫖↰⪸3ABA))⫁⪎((⫖↰⪸1AAA*⫖↰⪸3520)⋳⪒⫖↰⪸44B0⇌⫙⪟⫖↰⪸1848)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3785,"operation_count":14,"complexity_ratio":270.35714285714283,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5263,"base":12},"right_expr":{"type":"numeric_atoms","value":1108,"base":12}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1245,"base":12},"right_expr":{"type":"numeric_atoms","value":2328,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2891,"base":12},"right_expr":{"type":"numeric_atoms","value":2666,"base":12}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":7371,"base":12},"right_expr":{"type":"numeric_atoms","value":2714,"base":12}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4989,"base":12},"right_expr":{"type":"numeric_atoms","value":6766,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3298,"base":12},"right_expr":{"type":"numeric_atoms","value":5928,"base":12}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":7620,"base":12},"right_expr":{"type":"numeric_atoms","value":2936,"base":12}}}}},"used_operators":["y4ImoPnbV5","HmxsFra2vL","48vC8HMD2b","2DQ55sFlQl","QbnwKVWMIQ","IWmyXbctLI","PPChnnnBFF","JclMnS0uGI","xRrnTEsQ6j","qazvmhNBbN","kbkesczE7y","12rbrZMWeM","9HNa5Wba9A","AFVx7xoS7T"],"dependent_operators":["NTOWxs364D","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⫖↰⪸33349661","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5263","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=1108, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=2328, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9632","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=9632, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=196181","layer":2},{"info":"number node, value=2891","layer":4},{"info":"number node, value=2666","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=2666, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2891","layer":3},{"info":"number node, value=7371","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=7371, right_input=2714, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2714","layer":3},{"info":"compute binary expreesion, left_input=2891, right_input=2714, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6098","layer":2},{"info":"compute binary expreesion, left_input=196181, right_input=6098, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=4989","layer":4},{"info":"number node, value=6766","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=6766, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=979","layer":2},{"info":"number node, value=3298","layer":4},{"info":"number node, value=5928","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=5928, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=19550544","layer":3},{"info":"number node, value=7620","layer":4},{"info":"number node, value=2936","layer":4},{"info":"compute binary expreesion, left_input=7620, right_input=2936, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=19550544, right_input=113, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=39100688","layer":2},{"info":"compute binary expreesion, left_input=979, right_input=39100688, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-39099709","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-39099709, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=117299305","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3067⨵⪆⫖↰⪸784)⫘(⫖↰⪸879⪥⫖↰⪸1420)∙∹∝⫖↰⪸180B∣⫖↰⪸1662⪮%⊝⫖↰⪸4323⨔⇊⫖↰⪸16A2∽(⩒∊(⫖↰⪸2A79≬⋮⫖↰⪸3ABA))⫁⪎((⫖↰⪸1AAA*⫖↰⪸3520)⋳⪒⫖↰⪸44B0⇌⫙⪟⫖↰⪸1848)=⫖↰⪸33349661","reverse_text":"⫖↰⪸33349661=(⫖↰⪸3067⨵⪆⫖↰⪸784)⫘(⫖↰⪸879⪥⫖↰⪸1420)∙∹∝⫖↰⪸180B∣⫖↰⪸1662⪮%⊝⫖↰⪸4323⨔⇊⫖↰⪸16A2∽(⩒∊(⫖↰⪸2A79≬⋮⫖↰⪸3ABA))⫁⪎((⫖↰⪸1AAA*⫖↰⪸3520)⋳⪒⫖↰⪸44B0⇌⫙⪟⫖↰⪸1848)","cot":[{"info":"⫖↰⪸3067⨵⪆⫖↰⪸784=⫖↰⪸114","layer":3},{"info":"⫖↰⪸879⪥⫖↰⪸1420=⫖↰⪸56A8","layer":3},{"info":"⫖↰⪸114⫘⫖↰⪸56A8=⫖↰⪸95645","layer":2},{"info":"⫖↰⪸180B∣⫖↰⪸1662=⫖↰⪸180B","layer":3},{"info":"⫖↰⪸4323⨔⇊⫖↰⪸16A2=⫖↰⪸16A2","layer":3},{"info":"⫖↰⪸180B⪮%⊝⫖↰⪸16A2=⫖↰⪸3642","layer":2},{"info":"⫖↰⪸95645∙∹∝⫖↰⪸3642=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2A79≬⋮⫖↰⪸3ABA=⫖↰⪸604","layer":3},{"info":"⩒∊⫖↰⪸604=⫖↰⪸697","layer":2},{"info":"⫖↰⪸1AAA*⫖↰⪸3520=⫖↰⪸6669B80","layer":3},{"info":"⫖↰⪸44B0⇌⫙⪟⫖↰⪸1848=⫖↰⪸95","layer":3},{"info":"⫖↰⪸6669B80⋳⪒⫖↰⪸95=⫖↰⪸11117868","layer":2},{"info":"⫖↰⪸697⫁⪎⫖↰⪸11117868=⫖↰⪸-11117191","layer":1},{"info":"⫖↰⪸0∽⫖↰⪸-11117191=⫖↰⪸33349661","layer":0}]}
{"id":698,"expression_no_base_symbol":"($3869$≹⇙⪍$4226$⨳⩥⨓$2449$⩦$5901$)+⪬∐(⇋↷$2585$⪪$4274$)⨽⪊≇","expression":"(⫖↰⪸22A5≹⇙⪍⫖↰⪸2542⨳⩥⨓⫖↰⪸1501⩦⫖↰⪸34B9)+⪬∐(⇋↷⫖↰⪸15B5⪪⫖↰⪸2582)⨽⪊≇","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7930,"operation_count":7,"complexity_ratio":1132.857142857143,"tree":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3869,"base":12},"right_expr":{"type":"numeric_atoms","value":4226,"base":12}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2449,"base":12},"right_expr":{"type":"numeric_atoms","value":5901,"base":12}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2585,"base":12},"right_expr":{"type":"numeric_atoms","value":4274,"base":12}}}}},"used_operators":["nlCqmYiOvY","2GS7woTJqF","nCS4ZIUYfx","AHs5Up7iyr","0kmYd0q39Y","SWo3A1KBJH","xD69zh8xqp"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3869","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=3869, right_input=4226, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2449","layer":4},{"info":"number node, value=5901","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=5901, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4898","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4898, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=2585","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=2585, right_input=4274, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-386424","layer":3},{"info":"compute unary expreesion, input=-386424, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-1545056","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1545056, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', 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":12,"result_base":12,"text":"(⫖↰⪸22A5≹⇙⪍⫖↰⪸2542⨳⩥⨓⫖↰⪸1501⩦⫖↰⪸34B9)+⪬∐(⇋↷⫖↰⪸15B5⪪⫖↰⪸2582)⨽⪊≇=NaN","reverse_text":"NaN=(⫖↰⪸22A5≹⇙⪍⫖↰⪸2542⨳⩥⨓⫖↰⪸1501⩦⫖↰⪸34B9)+⪬∐(⇋↷⫖↰⪸15B5⪪⫖↰⪸2582)⨽⪊≇","cot":[{"info":"⫖↰⪸22A5≹⇙⪍⫖↰⪸2542=NaN","layer":3},{"info":"⫖↰⪸1501⩦⫖↰⪸34B9=⫖↰⪸2A02","layer":3},{"info":"NaN⨳⩥⨓⫖↰⪸2A02=NaN","layer":2},{"info":"⫖↰⪸15B5⪪⫖↰⪸2582=⫖↰⪸-167760","layer":3},{"info":"⇋↷⫖↰⪸-167760=⫖↰⪸-626168","layer":2},{"info":"NaN+⪬∐⫖↰⪸-626168=NaN","layer":1},{"info":"NaN⨽⪊≇=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"↘(($5252$⋥⋵⩄$2073$)⨸($1874$⪠⩆⊳)∙⊟($3705$⫗⊷⫓$4007$%$1668$⫁$4583$))","expression":"↘((⫖↰⪸3058⋥⋵⩄⫖↰⪸1249)⨸(⫖↰⪸1102⪠⩆⊳)∙⊟(⫖↰⪸2189⫗⊷⫓⫖↰⪸239B%⫖↰⪸B70⫁⫖↰⪸279B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1330,"operation_count":8,"complexity_ratio":166.25,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5252,"base":12},"right_expr":{"type":"numeric_atoms","value":2073,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1874,"base":12}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3705,"base":12},"right_expr":{"type":"numeric_atoms","value":4007,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1668,"base":12},"right_expr":{"type":"numeric_atoms","value":4583,"base":12}}}}},"used_operators":["LdNpr8hQHL","SxTAKzQCrw","KmoU8R5UQR","7t3wd0Fuz7","JLbD19bQDL","k8jYdgA6NY","zashukvMKz","0ajvFaJAv0"],"dependent_operators":["uFcxV4UQCh","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⫖↰⪸B7","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5252","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=5252, right_input=2073, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1874","layer":4},{"info":"compute unary expreesion, input=1874, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=226","layer":2},{"info":"number node, value=3705","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=4007, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=4583","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=4583, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=26","layer":2},{"info":"compute binary expreesion, left_input=226, right_input=26, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=19347","layer":1},{"info":"compute unary expreesion, input=19347, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=139","layer":0}],"base":12,"result_base":12,"text":"↘((⫖↰⪸3058⋥⋵⩄⫖↰⪸1249)⨸(⫖↰⪸1102⪠⩆⊳)∙⊟(⫖↰⪸2189⫗⊷⫓⫖↰⪸239B%⫖↰⪸B70⫁⫖↰⪸279B))=⫖↰⪸B7","reverse_text":"⫖↰⪸B7=↘((⫖↰⪸3058⋥⋵⩄⫖↰⪸1249)⨸(⫖↰⪸1102⪠⩆⊳)∙⊟(⫖↰⪸2189⫗⊷⫓⫖↰⪸239B%⫖↰⪸B70⫁⫖↰⪸279B))","cot":[{"info":"⫖↰⪸3058⋥⋵⩄⫖↰⪸1249=⫖↰⪸95","layer":3},{"info":"⫖↰⪸1102⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸95⨸⫖↰⪸0=⫖↰⪸16A","layer":2},{"info":"⫖↰⪸2189⫗⊷⫓⫖↰⪸239B=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸B70⫁⫖↰⪸279B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-B2%⫖↰⪸114=⫖↰⪸22","layer":2},{"info":"⫖↰⪸16A∙⊟⫖↰⪸22=⫖↰⪸B243","layer":1},{"info":"↘⫖↰⪸B243=⫖↰⪸B7","layer":0}]}
{"id":700,"expression_no_base_symbol":"(($1512$⇍⊗$1519$)⨽∌(⇜$2629$)≎⊠⪸(⊙↵-($2762$⫢⨠$4725$)))⇻⋧≁((⨛$3108$⪇≇⋚$3405$)≠≀(⊽($3422$∺≝⩲$1093$)))","expression":"((⫖↰⪸A60⇍⊗⫖↰⪸A67)⨽∌(⇜⫖↰⪸1631)≎⊠⪸(⊙↵-(⫖↰⪸1722⫢⨠⫖↰⪸2899)))⇻⋧≁((⨛⫖↰⪸1970⪇≇⋚⫖↰⪸1B79)≠≀(⊽(⫖↰⪸1B92∺≝⩲⫖↰⪸771)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1418,"operation_count":12,"complexity_ratio":118.16666666666667,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1512,"base":12},"right_expr":{"type":"numeric_atoms","value":1519,"base":12}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2629,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2762,"base":12},"right_expr":{"type":"numeric_atoms","value":4725,"base":12}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3108,"base":12},"right_expr":{"type":"numeric_atoms","value":3405,"base":12}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3422,"base":12},"right_expr":{"type":"numeric_atoms","value":1093,"base":12}}}}},"used_operators":["jCPkEVoL5K","bJkvcejdHO","9samAPKr6k","5uvYHDjeKN","lFBm8KRb8F","oWn0xqSxBt","xlXykHWxX1","IwW236VD4Y","CoMdbyAt7R","3sJ7IOPOlU","QxG7OkqoLX","KPf6cnQVty"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1519, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2629","layer":4},{"info":"compute unary expreesion, input=2629, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-21440","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-21440, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=2762","layer":4},{"info":"number node, value=4725","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=4725, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":1},{"info":"number node, value=3108","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=3405, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=3422","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=1093, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1842","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1842, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A60⇍⊗⫖↰⪸A67)⨽∌(⇜⫖↰⪸1631)≎⊠⪸(⊙↵-(⫖↰⪸1722⫢⨠⫖↰⪸2899)))⇻⋧≁((⨛⫖↰⪸1970⪇≇⋚⫖↰⪸1B79)≠≀(⊽(⫖↰⪸1B92∺≝⩲⫖↰⪸771)))=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=((⫖↰⪸A60⇍⊗⫖↰⪸A67)⨽∌(⇜⫖↰⪸1631)≎⊠⪸(⊙↵-(⫖↰⪸1722⫢⨠⫖↰⪸2899)))⇻⋧≁((⨛⫖↰⪸1970⪇≇⋚⫖↰⪸1B79)≠≀(⊽(⫖↰⪸1B92∺≝⩲⫖↰⪸771)))","cot":[{"info":"⫖↰⪸A60⇍⊗⫖↰⪸A67=⫖↰⪸-184","layer":3},{"info":"⇜⫖↰⪸1631=⫖↰⪸-104A8","layer":3},{"info":"⫖↰⪸-184⨽∌⫖↰⪸-104A8=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1722⫢⨠⫖↰⪸2899=⫖↰⪸114","layer":3},{"info":"⊙↵-⫖↰⪸114=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0≎⊠⪸⫖↰⪸0=⫖↰⪸-335","layer":1},{"info":"⫖↰⪸1970⪇≇⋚⫖↰⪸1B79=⫖↰⪸0","layer":3},{"info":"⨛⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸1B92∺≝⩲⫖↰⪸771=⫖↰⪸114","layer":3},{"info":"⊽⫖↰⪸114=⫖↰⪸1096","layer":2},{"info":"NaN≠≀⫖↰⪸1096=NaN","layer":1},{"info":"⫖↰⪸-335⇻⋧≁NaN=⫖↰⪸-313","layer":0}]}
{"id":701,"expression_no_base_symbol":"(⫓⪴($1487$⨚⇆$1730$)∥⊢⊲($1067$↳∿⪆$4272$))∝((⨑⩽⪐$2481$)⊹∫⫚($2182$⨭⪣$5240$))⋕⪉⪜(($1301$⇣⩺⋵$4364$)⩁⩘($2127$∷$1109$))","expression":"(⫓⪴(⫖↰⪸A3B⨚⇆⫖↰⪸1002)∥⊢⊲(⫖↰⪸74B↳∿⪆⫖↰⪸2580))∝((⨑⩽⪐⫖↰⪸1529)⊹∫⫚(⫖↰⪸131A⨭⪣⫖↰⪸3048))⋕⪉⪜((⫖↰⪸905⇣⩺⋵⫖↰⪸2638)⩁⩘(⫖↰⪸1293∷⫖↰⪸785))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13038,"operation_count":12,"complexity_ratio":1086.5,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1487,"base":12},"right_expr":{"type":"numeric_atoms","value":1730,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1067,"base":12},"right_expr":{"type":"numeric_atoms","value":4272,"base":12}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2481,"base":12}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2182,"base":12},"right_expr":{"type":"numeric_atoms","value":5240,"base":12}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1301,"base":12},"right_expr":{"type":"numeric_atoms","value":4364,"base":12}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2127,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}}}}},"used_operators":["cTDWOvIxvz","eLxqMNBOBk","v1UQAVDJRr","lwHaAYXP2r","Cw4SuJJGHO","z6LnFrNh4i","uWAJUKEvyW","AF7qkfDlqP","kn8WO9XteQ","gub5Cegaqo","F4yD0voBRQ","D3AQDKkPcf"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9HNa5Wba9A","EBcxylXtPf","rGHVDoGpnC","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1487","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=1730, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=4272","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=4272, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=2481","layer":4},{"info":"compute unary expreesion, input=2481, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2208","layer":3},{"info":"number node, value=2182","layer":4},{"info":"number node, value=5240","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=5240, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=903","layer":3},{"info":"compute binary expreesion, left_input=-2208, right_input=903, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-348","layer":2},{"info":"number node, value=1301","layer":4},{"info":"number node, value=4364","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=4364, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-3462","layer":3},{"info":"number node, value=2127","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=1109, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1109","layer":3},{"info":"compute binary expreesion, left_input=-3462, right_input=1109, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5384","layer":2},{"info":"compute binary expreesion, left_input=-348, right_input=5384, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(⫖↰⪸A3B⨚⇆⫖↰⪸1002)∥⊢⊲(⫖↰⪸74B↳∿⪆⫖↰⪸2580))∝((⨑⩽⪐⫖↰⪸1529)⊹∫⫚(⫖↰⪸131A⨭⪣⫖↰⪸3048))⋕⪉⪜((⫖↰⪸905⇣⩺⋵⫖↰⪸2638)⩁⩘(⫖↰⪸1293∷⫖↰⪸785))=NaN","reverse_text":"NaN=(⫓⪴(⫖↰⪸A3B⨚⇆⫖↰⪸1002)∥⊢⊲(⫖↰⪸74B↳∿⪆⫖↰⪸2580))∝((⨑⩽⪐⫖↰⪸1529)⊹∫⫚(⫖↰⪸131A⨭⪣⫖↰⪸3048))⋕⪉⪜((⫖↰⪸905⇣⩺⋵⫖↰⪸2638)⩁⩘(⫖↰⪸1293∷⫖↰⪸785))","cot":[{"info":"⫖↰⪸A3B⨚⇆⫖↰⪸1002=NaN","layer":3},{"info":"⫖↰⪸74B↳∿⪆⫖↰⪸2580=NaN","layer":3},{"info":"NaN∥⊢⊲NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⨑⩽⪐⫖↰⪸1529=⫖↰⪸-1340","layer":3},{"info":"⫖↰⪸131A⨭⪣⫖↰⪸3048=⫖↰⪸633","layer":3},{"info":"⫖↰⪸-1340⊹∫⫚⫖↰⪸633=⫖↰⪸-250","layer":2},{"info":"⫖↰⪸905⇣⩺⋵⫖↰⪸2638=⫖↰⪸-2006","layer":3},{"info":"⫖↰⪸1293∷⫖↰⪸785=⫖↰⪸785","layer":3},{"info":"⫖↰⪸-2006⩁⩘⫖↰⪸785=⫖↰⪸3148","layer":2},{"info":"⫖↰⪸-250⋕⪉⪜⫖↰⪸3148=⫖↰⪸150","layer":1},{"info":"NaN∝⫖↰⪸150=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"($3095$∑⇟⊟$3859$⪡(↪⫪⫘$2061$)∙⊟($1007$⨐⩸⫘$7606$⫃⨇$1419$∣$6931$))⩷∴(↞≼($4357$⪶≀⋏$2301$⇼⇔∾$2512$⨭⪣$4386$))","expression":"(⫖↰⪸195B∑⇟⊟⫖↰⪸2297⪡(↪⫪⫘⫖↰⪸1239)∙⊟(⫖↰⪸6BB⨐⩸⫘⫖↰⪸449A⫃⨇⫖↰⪸9A3∣⫖↰⪸4017))⩷∴(↞≼(⫖↰⪸2631⪶≀⋏⫖↰⪸13B9⇼⇔∾⫖↰⪸1554⨭⪣⫖↰⪸2656))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":257,"operation_count":12,"complexity_ratio":21.416666666666668,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3095,"base":12},"right_expr":{"type":"numeric_atoms","value":3859,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2061,"base":12}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":7606,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1419,"base":12},"right_expr":{"type":"numeric_atoms","value":6931,"base":12}}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4357,"base":12},"right_expr":{"type":"numeric_atoms","value":2301,"base":12}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2512,"base":12},"right_expr":{"type":"numeric_atoms","value":4386,"base":12}}}}},"used_operators":["9FxExcQeMw","SxTAKzQCrw","oraRL2iQuh","U7g4x0WXJJ","9dWsAM3GFt","09Ly4LVMIf","fu6greOZ01","PPChnnnBFF","DE7zCoGJt9","tifHPKVTfV","zR4jO40bMj","kn8WO9XteQ"],"dependent_operators":["rysDP5nf3Z","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","3ViojmjbAp","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3095","layer":4},{"info":"number node, value=3859","layer":4},{"info":"compute binary expreesion, left_input=3095, right_input=3859, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2061","layer":4},{"info":"compute unary expreesion, input=2061, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=7606","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=7606, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1419","layer":4},{"info":"number node, value=6931","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=6931, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1419","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1419, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"number node, value=4357","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=4357, right_input=2301, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17905","layer":3},{"info":"number node, value=2512","layer":4},{"info":"number node, value=4386","layer":4},{"info":"compute binary expreesion, left_input=2512, right_input=4386, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1233","layer":3},{"info":"compute binary expreesion, left_input=-17905, right_input=1233, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=19138","layer":2},{"info":"compute unary expreesion, input=19138, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=152690","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=152690, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸195B∑⇟⊟⫖↰⪸2297⪡(↪⫪⫘⫖↰⪸1239)∙⊟(⫖↰⪸6BB⨐⩸⫘⫖↰⪸449A⫃⨇⫖↰⪸9A3∣⫖↰⪸4017))⩷∴(↞≼(⫖↰⪸2631⪶≀⋏⫖↰⪸13B9⇼⇔∾⫖↰⪸1554⨭⪣⫖↰⪸2656))=NaN","reverse_text":"NaN=(⫖↰⪸195B∑⇟⊟⫖↰⪸2297⪡(↪⫪⫘⫖↰⪸1239)∙⊟(⫖↰⪸6BB⨐⩸⫘⫖↰⪸449A⫃⨇⫖↰⪸9A3∣⫖↰⪸4017))⩷∴(↞≼(⫖↰⪸2631⪶≀⋏⫖↰⪸13B9⇼⇔∾⫖↰⪸1554⨭⪣⫖↰⪸2656))","cot":[{"info":"⫖↰⪸195B∑⇟⊟⫖↰⪸2297=NaN","layer":3},{"info":"↪⫪⫘⫖↰⪸1239=⫖↰⪸18","layer":3},{"info":"NaN⪡⫖↰⪸18=NaN","layer":2},{"info":"⫖↰⪸6BB⨐⩸⫘⫖↰⪸449A=NaN","layer":3},{"info":"⫖↰⪸9A3∣⫖↰⪸4017=⫖↰⪸9A3","layer":3},{"info":"NaN⫃⨇⫖↰⪸9A3=NaN","layer":2},{"info":"NaN∙⊟NaN=NaN","layer":1},{"info":"⫖↰⪸2631⪶≀⋏⫖↰⪸13B9=⫖↰⪸-A441","layer":3},{"info":"⫖↰⪸1554⨭⪣⫖↰⪸2656=⫖↰⪸869","layer":3},{"info":"⫖↰⪸-A441⇼⇔∾⫖↰⪸869=⫖↰⪸B0AA","layer":2},{"info":"↞≼⫖↰⪸B0AA=⫖↰⪸74442","layer":1},{"info":"NaN⩷∴⫖↰⪸74442=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"(⩦⩻⨪((⪲⇎$4592$)⪁(⨣⨃⇪$3864$)))≧⫂∧($6386$⪟⇏$6940$⋝⋈⪟$1486$⩇∃⫛$1692$)⋾⨃∁(≦∁$1651$⪭$1938$)","expression":"(⩦⩻⨪((⪲⇎⫖↰⪸27A8)⪁(⨣⨃⇪⫖↰⪸22A0)))≧⫂∧(⫖↰⪸3842⪟⇏⫖↰⪸4024⋝⋈⪟⫖↰⪸A3A⩇∃⫛⫖↰⪸B90)⋾⨃∁(≦∁⫖↰⪸B57⪭⫖↰⪸1156)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33491900,"operation_count":11,"complexity_ratio":3044718.1818181816,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4592,"base":12}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3864,"base":12}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6386,"base":12},"right_expr":{"type":"numeric_atoms","value":6940,"base":12}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1486,"base":12},"right_expr":{"type":"numeric_atoms","value":1692,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1651,"base":12},"right_expr":{"type":"numeric_atoms","value":1938,"base":12}}}}},"used_operators":["Ph9nP6C5qx","2td37pGCOC","I7sXao9hZE","XPYlsWDdGa","AcOhelriW5","212REbPD9h","2DDjHMKMc0","GODebY97qR","1aApVXNlOP","9ICcGScMcE","j9kHMeSvPp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","COABgblf1C","xUOZtlo3hN"],"result":"⫖↰⪸599B61","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4592","layer":4},{"info":"compute unary expreesion, input=4592, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9184","layer":3},{"info":"number node, value=3864","layer":4},{"info":"compute unary expreesion, input=3864, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=9184, right_input=1405, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=6386","layer":4},{"info":"number node, value=6940","layer":4},{"info":"compute binary expreesion, left_input=6386, right_input=6940, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1692, 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=679","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=679, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1","layer":2},{"info":"number node, value=1651","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=1938, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-380","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-380, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1448466","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1448466, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1447993","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪((⪲⇎⫖↰⪸27A8)⪁(⨣⨃⇪⫖↰⪸22A0)))≧⫂∧(⫖↰⪸3842⪟⇏⫖↰⪸4024⋝⋈⪟⫖↰⪸A3A⩇∃⫛⫖↰⪸B90)⋾⨃∁(≦∁⫖↰⪸B57⪭⫖↰⪸1156)=⫖↰⪸599B61","reverse_text":"⫖↰⪸599B61=(⩦⩻⨪((⪲⇎⫖↰⪸27A8)⪁(⨣⨃⇪⫖↰⪸22A0)))≧⫂∧(⫖↰⪸3842⪟⇏⫖↰⪸4024⋝⋈⪟⫖↰⪸A3A⩇∃⫛⫖↰⪸B90)⋾⨃∁(≦∁⫖↰⪸B57⪭⫖↰⪸1156)","cot":[{"info":"⪲⇎⫖↰⪸27A8=⫖↰⪸5394","layer":3},{"info":"⨣⨃⇪⫖↰⪸22A0=⫖↰⪸991","layer":3},{"info":"⫖↰⪸5394⪁⫖↰⪸991=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⫖↰⪸3842⪟⇏⫖↰⪸4024=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸A3A⩇∃⫛⫖↰⪸B90=⫖↰⪸487","layer":3},{"info":"⫖↰⪸-1⋝⋈⪟⫖↰⪸487=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸B57⪭⫖↰⪸1156=⫖↰⪸5","layer":3},{"info":"≦∁⫖↰⪸5=⫖↰⪸-278","layer":2},{"info":"⫖↰⪸-1⋾⨃∁⫖↰⪸-278=⫖↰⪸59A296","layer":1},{"info":"NaN≧⫂∧⫖↰⪸59A296=⫖↰⪸599B61","layer":0}]}
{"id":704,"expression_no_base_symbol":"((⨴⫝($4833$⊍⩺⋍$4193$))⪘⨀)⩵∡((⇙⪊$7342$)≄⊠($4641$⊋≦⊧$1596$))⊝⪿⪼(⩏⊷≩($6256$⫌⩉⩟$4417$))","expression":"((⨴⫝(⫖↰⪸2969⊍⩺⋍⫖↰⪸2515))⪘⨀)⩵∡((⇙⪊⫖↰⪸42BA)≄⊠(⫖↰⪸2829⊋≦⊧⫖↰⪸B10))⊝⪿⪼(⩏⊷≩(⫖↰⪸3754⫌⩉⩟⫖↰⪸2681))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25392,"operation_count":10,"complexity_ratio":2539.2,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4833,"base":12},"right_expr":{"type":"numeric_atoms","value":4193,"base":12}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":7342,"base":12}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4641,"base":12},"right_expr":{"type":"numeric_atoms","value":1596,"base":12}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6256,"base":12},"right_expr":{"type":"numeric_atoms","value":4417,"base":12}}}}},"used_operators":["Y7wcNGrDQJ","aA7tF3KVD3","SVb2v531z1","OXDGMFPWZM","3Oe9XWJUTD","vXNesLlMH1","pB6Fcnrjim","oRDoc9rAEX","uOZ1tnYMDE","XIIwhv8d0m"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","23Mk6UjR3U","12rbrZMWeM","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4833","layer":4},{"info":"number node, value=4193","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=4193, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":1},{"info":"number node, value=7342","layer":4},{"info":"compute unary expreesion, input=7342, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=4641","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=4641, right_input=1596, 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=-2952","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2952, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=6256","layer":4},{"info":"number node, value=4417","layer":4},{"info":"compute binary expreesion, left_input=6256, right_input=4417, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=814","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=814, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=27716","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27716, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⨴⫝(⫖↰⪸2969⊍⩺⋍⫖↰⪸2515))⪘⨀)⩵∡((⇙⪊⫖↰⪸42BA)≄⊠(⫖↰⪸2829⊋≦⊧⫖↰⪸B10))⊝⪿⪼(⩏⊷≩(⫖↰⪸3754⫌⩉⩟⫖↰⪸2681))=NaN","reverse_text":"NaN=((⨴⫝(⫖↰⪸2969⊍⩺⋍⫖↰⪸2515))⪘⨀)⩵∡((⇙⪊⫖↰⪸42BA)≄⊠(⫖↰⪸2829⊋≦⊧⫖↰⪸B10))⊝⪿⪼(⩏⊷≩(⫖↰⪸3754⫌⩉⩟⫖↰⪸2681))","cot":[{"info":"⫖↰⪸2969⊍⩺⋍⫖↰⪸2515=NaN","layer":3},{"info":"⨴⫝NaN=NaN","layer":2},{"info":"NaN⪘⨀=NaN","layer":1},{"info":"⇙⪊⫖↰⪸42BA=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2829⊋≦⊧⫖↰⪸B10=⫖↰⪸-1860","layer":3},{"info":"⫖↰⪸0≄⊠⫖↰⪸-1860=⫖↰⪸A50","layer":2},{"info":"⫖↰⪸3754⫌⩉⩟⫖↰⪸2681=⫖↰⪸-42","layer":3},{"info":"⩏⊷≩⫖↰⪸-42=⫖↰⪸57A","layer":2},{"info":"⫖↰⪸A50⊝⪿⪼⫖↰⪸57A=⫖↰⪸14058","layer":1},{"info":"NaN⩵∡⫖↰⪸14058=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"(($3240$⪬$5423$∀⋜↑)⪁(⇨($3902$⪛$2789$)))∼(⋗⩬⋾($1709$⪔$7331$)⋣⋖$1921$∘$3399$)","expression":"((⫖↰⪸1A60⪬⫖↰⪸317B∀⋜↑)⪁(⇨(⫖↰⪸2312⪛⫖↰⪸1745)))∼(⋗⩬⋾(⫖↰⪸BA5⪔⫖↰⪸42AB)⋣⋖⫖↰⪸1141∘⫖↰⪸1B73)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10774,"operation_count":10,"complexity_ratio":1077.4,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3240,"base":12},"right_expr":{"type":"numeric_atoms","value":5423,"base":12}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3902,"base":12},"right_expr":{"type":"numeric_atoms","value":2789,"base":12}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":7331,"base":12}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1921,"base":12},"right_expr":{"type":"numeric_atoms","value":3399,"base":12}}}}},"used_operators":["DyGG3AbaNP","I7sXao9hZE","KipPnG1M2J","Ez1Nq5fNfI","G9tJMlZ94a","uFcxV4UQCh","DpFCA1CohY","J0M6qkBnIM","GjBEYRfMaF","Z5m6OM72h2"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3240","layer":4},{"info":"number node, value=5423","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=5423, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"number node, value=3902","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=2789, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1113","layer":3},{"info":"compute unary expreesion, input=1113, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-484, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1709","layer":4},{"info":"number node, value=7331","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=7331, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1921","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=3399, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3842","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=3842, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-1350","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1350, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1A60⪬⫖↰⪸317B∀⋜↑)⪁(⇨(⫖↰⪸2312⪛⫖↰⪸1745)))∼(⋗⩬⋾(⫖↰⪸BA5⪔⫖↰⪸42AB)⋣⋖⫖↰⪸1141∘⫖↰⪸1B73)=NaN","reverse_text":"NaN=((⫖↰⪸1A60⪬⫖↰⪸317B∀⋜↑)⪁(⇨(⫖↰⪸2312⪛⫖↰⪸1745)))∼(⋗⩬⋾(⫖↰⪸BA5⪔⫖↰⪸42AB)⋣⋖⫖↰⪸1141∘⫖↰⪸1B73)","cot":[{"info":"⫖↰⪸1A60⪬⫖↰⪸317B=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸86A∀⋜↑=⫖↰⪸-344","layer":2},{"info":"⫖↰⪸2312⪛⫖↰⪸1745=⫖↰⪸789","layer":3},{"info":"⇨⫖↰⪸789=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-344⪁⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸BA5⪔⫖↰⪸42AB=⫖↰⪸316","layer":3},{"info":"⫖↰⪸1141∘⫖↰⪸1B73=⫖↰⪸2282","layer":3},{"info":"⫖↰⪸316⋣⋖⫖↰⪸2282=⫖↰⪸316","layer":2},{"info":"⋗⩬⋾⫖↰⪸316=⫖↰⪸-946","layer":1},{"info":"NaN∼⫖↰⪸-946=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"(($1554$∼$1702$)≚⊃≕$1003$⫯⪬∳$3794$)∇⊂⋱($3508$∽$9584$)⪝(≤/$2742$)∝(⇘(≅≯⇸(≻⋜$3490$)))","expression":"((⫖↰⪸A96∼⫖↰⪸B9A)≚⊃≕⫖↰⪸6B7⫯⪬∳⫖↰⪸2242)∇⊂⋱(⫖↰⪸2044∽⫖↰⪸5668)⪝(≤/⫖↰⪸1706)∝(⇘(≅≯⇸(≻⋜⫖↰⪸202A)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22136,"operation_count":11,"complexity_ratio":2012.3636363636363,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1554,"base":12},"right_expr":{"type":"numeric_atoms","value":1702,"base":12}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1003,"base":12},"right_expr":{"type":"numeric_atoms","value":3794,"base":12}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3508,"base":12},"right_expr":{"type":"numeric_atoms","value":9584,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2742,"base":12}}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3490,"base":12}}}}},"used_operators":["cTDWOvIxvz","nhYeJWJD5X","Bmrmz2XGnR","DyGG3AbaNP","d7ASUq0ydm","wicAB68Tmb","y4ImoPnbV5","eLAdDNolq6","MGuIdZPyUC","apS25hmuAe","3tj9sqzovi"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","EBcxylXtPf","QMFrweE19q","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1554","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=1702, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=3794","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=3794, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1254","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1254, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"number node, value=3508","layer":4},{"info":"number node, value=9584","layer":4},{"info":"compute binary expreesion, left_input=3508, right_input=9584, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-46114","layer":3},{"info":"number node, value=2742","layer":4},{"info":"compute unary expreesion, input=2742, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2258","layer":3},{"info":"compute binary expreesion, left_input=-46114, right_input=-2258, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-469005","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-469005, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=938010","layer":1},{"info":"number node, value=3490","layer":4},{"info":"compute unary expreesion, input=3490, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=938010, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A96∼⫖↰⪸B9A)≚⊃≕⫖↰⪸6B7⫯⪬∳⫖↰⪸2242)∇⊂⋱(⫖↰⪸2044∽⫖↰⪸5668)⪝(≤/⫖↰⪸1706)∝(⇘(≅≯⇸(≻⋜⫖↰⪸202A)))=NaN","reverse_text":"NaN=((⫖↰⪸A96∼⫖↰⪸B9A)≚⊃≕⫖↰⪸6B7⫯⪬∳⫖↰⪸2242)∇⊂⋱(⫖↰⪸2044∽⫖↰⪸5668)⪝(≤/⫖↰⪸1706)∝(⇘(≅≯⇸(≻⋜⫖↰⪸202A)))","cot":[{"info":"⫖↰⪸A96∼⫖↰⪸B9A=NaN","layer":3},{"info":"⫖↰⪸6B7⫯⪬∳⫖↰⪸2242=⫖↰⪸886","layer":3},{"info":"NaN≚⊃≕⫖↰⪸886=⫖↰⪸57","layer":2},{"info":"⫖↰⪸2044∽⫖↰⪸5668=⫖↰⪸-2282A","layer":3},{"info":"≤/⫖↰⪸1706=⫖↰⪸-1382","layer":3},{"info":"⫖↰⪸-2282A⪝⫖↰⪸-1382=⫖↰⪸-1A74B9","layer":2},{"info":"⫖↰⪸57∇⊂⋱⫖↰⪸-1A74B9=⫖↰⪸3929B6","layer":1},{"info":"≻⋜⫖↰⪸202A=NaN","layer":3},{"info":"≅≯⇸NaN=NaN","layer":2},{"info":"⇘NaN=NaN","layer":1},{"info":"⫖↰⪸3929B6∝NaN=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"($1114$⩁⩘$2605$+⇶⊼($1704$⋻⩜⩜$1426$)∙⊟(∂⩏⊆$4253$⊲⩕⊾$1363$))⊚⫡⫭","expression":"(⫖↰⪸78A⩁⩘⫖↰⪸1611+⇶⊼(⫖↰⪸BA0⋻⩜⩜⫖↰⪸9AA)∙⊟(∂⩏⊆⫖↰⪸2565⊲⩕⊾⫖↰⪸957))⊚⫡⫭","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20082,"operation_count":7,"complexity_ratio":2868.8571428571427,"tree":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1114,"base":12},"right_expr":{"type":"numeric_atoms","value":2605,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1704,"base":12},"right_expr":{"type":"numeric_atoms","value":1426,"base":12}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4253,"base":12},"right_expr":{"type":"numeric_atoms","value":1363,"base":12}}}}},"used_operators":["SpZWOsLKZJ","SxTAKzQCrw","TpPTUOHfaN","gub5Cegaqo","oDCm7WA9JY","8WDwsbhb0R","DmTXOeWf9t"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","14qkJME0vr","eLAdDNolq6","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1114","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2605, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11368","layer":3},{"info":"number node, value=1704","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=1426, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3408","layer":3},{"info":"compute binary expreesion, left_input=11368, right_input=3408, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4253","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=4253, right_input=1363, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-78308","layer":3},{"info":"compute unary expreesion, input=-78308, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=78792","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=78792, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸78A⩁⩘⫖↰⪸1611+⇶⊼(⫖↰⪸BA0⋻⩜⩜⫖↰⪸9AA)∙⊟(∂⩏⊆⫖↰⪸2565⊲⩕⊾⫖↰⪸957))⊚⫡⫭=NaN","reverse_text":"NaN=(⫖↰⪸78A⩁⩘⫖↰⪸1611+⇶⊼(⫖↰⪸BA0⋻⩜⩜⫖↰⪸9AA)∙⊟(∂⩏⊆⫖↰⪸2565⊲⩕⊾⫖↰⪸957))⊚⫡⫭","cot":[{"info":"⫖↰⪸78A⩁⩘⫖↰⪸1611=⫖↰⪸66B4","layer":3},{"info":"⫖↰⪸BA0⋻⩜⩜⫖↰⪸9AA=⫖↰⪸1B80","layer":3},{"info":"⫖↰⪸66B4+⇶⊼⫖↰⪸1B80=NaN","layer":2},{"info":"⫖↰⪸2565⊲⩕⊾⫖↰⪸957=⫖↰⪸-39398","layer":3},{"info":"∂⩏⊆⫖↰⪸-39398=⫖↰⪸39720","layer":2},{"info":"NaN∙⊟⫖↰⪸39720=NaN","layer":1},{"info":"NaN⊚⫡⫭=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"((⩦⊞($7601$⨓$4647$))⊲⩕⊾($3344$⩦$1669$⪘⫢$2134$⪔⊥$1712$))↓⨍⋜","expression":"((⩦⊞(⫖↰⪸4495⨓⫖↰⪸2833))⊲⩕⊾(⫖↰⪸1B28⩦⫖↰⪸B71⪘⫢⫖↰⪸129A⪔⊥⫖↰⪸BA8))↓⨍⋜","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5010,"operation_count":7,"complexity_ratio":715.7142857142857,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7601,"base":12},"right_expr":{"type":"numeric_atoms","value":4647,"base":12}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3344,"base":12},"right_expr":{"type":"numeric_atoms","value":1669,"base":12}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2134,"base":12},"right_expr":{"type":"numeric_atoms","value":1712,"base":12}}}}},"used_operators":["3DVzLFNsE9","DmTXOeWf9t","u7fv1HBiaC","3ViojmjbAp","oacrs7FA3X","0kmYd0q39Y","HJ9erzHUuu"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⫖↰⪸152B206","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7601","layer":4},{"info":"number node, value=4647","layer":4},{"info":"compute binary expreesion, left_input=7601, right_input=4647, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4650","layer":3},{"info":"compute unary expreesion, input=-4650, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-9356","layer":2},{"info":"number node, value=3344","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=3344, right_input=1669, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6688","layer":3},{"info":"number node, value=2134","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=1712, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=4913","layer":3},{"info":"compute binary expreesion, left_input=6688, right_input=4913, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13252","layer":2},{"info":"compute binary expreesion, left_input=-9356, right_input=13252, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-68266","layer":1},{"info":"compute unary expreesion, input=-68266, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=4290918","layer":0}],"base":12,"result_base":12,"text":"((⩦⊞(⫖↰⪸4495⨓⫖↰⪸2833))⊲⩕⊾(⫖↰⪸1B28⩦⫖↰⪸B71⪘⫢⫖↰⪸129A⪔⊥⫖↰⪸BA8))↓⨍⋜=⫖↰⪸152B206","reverse_text":"⫖↰⪸152B206=((⩦⊞(⫖↰⪸4495⨓⫖↰⪸2833))⊲⩕⊾(⫖↰⪸1B28⩦⫖↰⪸B71⪘⫢⫖↰⪸129A⪔⊥⫖↰⪸BA8))↓⨍⋜","cot":[{"info":"⫖↰⪸4495⨓⫖↰⪸2833=⫖↰⪸-2836","layer":3},{"info":"⩦⊞⫖↰⪸-2836=⫖↰⪸-54B8","layer":2},{"info":"⫖↰⪸1B28⩦⫖↰⪸B71=⫖↰⪸3A54","layer":3},{"info":"⫖↰⪸129A⪔⊥⫖↰⪸BA8=⫖↰⪸2A15","layer":3},{"info":"⫖↰⪸3A54⪘⫢⫖↰⪸2A15=⫖↰⪸7804","layer":2},{"info":"⫖↰⪸-54B8⊲⩕⊾⫖↰⪸7804=⫖↰⪸-3360A","layer":1},{"info":"⫖↰⪸-3360A↓⨍⋜=⫖↰⪸152B206","layer":0}]}
{"id":709,"expression_no_base_symbol":"(($3158$⋫)⪔⊥(⇺⋃$1843$))↤⩊(($2011$⊾⪯⋞$2787$)⨽$3640$⨑⩅≇$2483$)≠≀(⩷$4589$+⪬∐$2231$)⪒⊣⊆(↔$3352$≌$4753$)","expression":"((⫖↰⪸19B2⋫)⪔⊥(⇺⋃⫖↰⪸1097))↤⩊((⫖↰⪸11B7⊾⪯⋞⫖↰⪸1743)⨽⫖↰⪸2134⨑⩅≇⫖↰⪸152B)≠≀(⩷⫖↰⪸27A5+⪬∐⫖↰⪸135B)⪒⊣⊆(↔⫖↰⪸1B34≌⫖↰⪸2901)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":16094,"operation_count":13,"complexity_ratio":1238.0,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3158,"base":12}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1843,"base":12}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2011,"base":12},"right_expr":{"type":"numeric_atoms","value":2787,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3640,"base":12},"right_expr":{"type":"numeric_atoms","value":2483,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4589,"base":12},"right_expr":{"type":"numeric_atoms","value":2231,"base":12}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3352,"base":12},"right_expr":{"type":"numeric_atoms","value":4753,"base":12}}}}},"used_operators":["IwW236VD4Y","13rbtpv6ld","HJ9erzHUuu","JL8yIekQnl","E5v5B3UAjG","8HhzD0ZcuI","HK0tfVPux8","h92wMvzauj","eRqsBgTDFp","1h0rLqGiFr","2GS7woTJqF","ruOEQAzv1W","lyWz822IDG"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tmPS8pqC7x","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","W4YGzv6Whe","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","g55IO6H4Gj","D4vGDi5EA2","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3158","layer":4},{"info":"compute unary expreesion, input=3158, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3158","layer":3},{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3158, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":2},{"info":"number node, value=2011","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=2787, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5148","layer":3},{"info":"number node, value=3640","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=2483, 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=-10920","layer":3},{"info":"compute binary expreesion, left_input=5148, right_input=-10920, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-79471638","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79471638, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=4589","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=2231, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-13767","layer":3},{"info":"compute unary expreesion, input=-13767, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=165125","layer":2},{"info":"number node, value=3352","layer":4},{"info":"number node, value=4753","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=4753, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=165125, right_input=-134, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=330250","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=330250, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸19B2⋫)⪔⊥(⇺⋃⫖↰⪸1097))↤⩊((⫖↰⪸11B7⊾⪯⋞⫖↰⪸1743)⨽⫖↰⪸2134⨑⩅≇⫖↰⪸152B)≠≀(⩷⫖↰⪸27A5+⪬∐⫖↰⪸135B)⪒⊣⊆(↔⫖↰⪸1B34≌⫖↰⪸2901)=NaN","reverse_text":"NaN=((⫖↰⪸19B2⋫)⪔⊥(⇺⋃⫖↰⪸1097))↤⩊((⫖↰⪸11B7⊾⪯⋞⫖↰⪸1743)⨽⫖↰⪸2134⨑⩅≇⫖↰⪸152B)≠≀(⩷⫖↰⪸27A5+⪬∐⫖↰⪸135B)⪒⊣⊆(↔⫖↰⪸1B34≌⫖↰⪸2901)","cot":[{"info":"⫖↰⪸19B2⋫=⫖↰⪸19B2","layer":3},{"info":"⇺⋃⫖↰⪸1097=NaN","layer":3},{"info":"⫖↰⪸19B2⪔⊥NaN=NaN","layer":2},{"info":"⫖↰⪸11B7⊾⪯⋞⫖↰⪸1743=⫖↰⪸2B90","layer":3},{"info":"⫖↰⪸2134⨑⩅≇⫖↰⪸152B=⫖↰⪸-63A0","layer":3},{"info":"⫖↰⪸2B90⨽⫖↰⪸-63A0=⫖↰⪸-22746646","layer":2},{"info":"NaN↤⩊⫖↰⪸-22746646=NaN","layer":1},{"info":"⫖↰⪸27A5+⪬∐⫖↰⪸135B=⫖↰⪸-7B73","layer":3},{"info":"⩷⫖↰⪸-7B73=⫖↰⪸7B685","layer":2},{"info":"⫖↰⪸1B34≌⫖↰⪸2901=NaN","layer":3},{"info":"↔NaN=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸7B685⪒⊣⊆⫖↰⪸-B2=⫖↰⪸13B14A","layer":1},{"info":"NaN≠≀⫖↰⪸13B14A=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"(⋎⨆(($1961$⫸⊐$1145$)⩏))≚⊃≕((($1493$⪃↞⩐)⪬∳)-($2815$⫸⊐$8522$)⊋≦⊧$1375$↞⋁$3166$)","expression":"(⋎⨆((⫖↰⪸1175⫸⊐⫖↰⪸7B5)⩏))≚⊃≕(((⫖↰⪸A45⪃↞⩐)⪬∳)-(⫖↰⪸1767⫸⊐⫖↰⪸4B22)⊋≦⊧⫖↰⪸967↞⋁⫖↰⪸19BA)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29495,"operation_count":10,"complexity_ratio":2949.5,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1961,"base":12},"right_expr":{"type":"numeric_atoms","value":1145,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1493,"base":12}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2815,"base":12},"right_expr":{"type":"numeric_atoms","value":8522,"base":12}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1375,"base":12},"right_expr":{"type":"numeric_atoms","value":3166,"base":12}}}}},"used_operators":["Bmrmz2XGnR","E64sFOc4tB","iA2gmKZ3Wj","mqXw5SEYmG","rysDP5nf3Z","O9U3z1385E","grXIztHqDa","oRDoc9rAEX","RqrPlJkxDo"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","z6LnFrNh4i","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⫖↰⪸-1B6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1961","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=1145, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4455","layer":3},{"info":"compute unary expreesion, input=4455, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=9264","layer":3},{"info":"compute unary expreesion, input=9264, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"number node, value=2815","layer":4},{"info":"number node, value=8522","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=8522, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33963","layer":3},{"info":"number node, value=1375","layer":4},{"info":"number node, value=3166","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=3166, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=33963, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-3394","layer":0}],"base":12,"result_base":12,"text":"(⋎⨆((⫖↰⪸1175⫸⊐⫖↰⪸7B5)⩏))≚⊃≕(((⫖↰⪸A45⪃↞⩐)⪬∳)-(⫖↰⪸1767⫸⊐⫖↰⪸4B22)⊋≦⊧⫖↰⪸967↞⋁⫖↰⪸19BA)=⫖↰⪸-1B6A","reverse_text":"⫖↰⪸-1B6A=(⋎⨆((⫖↰⪸1175⫸⊐⫖↰⪸7B5)⩏))≚⊃≕(((⫖↰⪸A45⪃↞⩐)⪬∳)-(⫖↰⪸1767⫸⊐⫖↰⪸4B22)⊋≦⊧⫖↰⪸967↞⋁⫖↰⪸19BA)","cot":[{"info":"⫖↰⪸1175⫸⊐⫖↰⪸7B5=⫖↰⪸26B3","layer":3},{"info":"⫖↰⪸26B3⩏=⫖↰⪸0","layer":2},{"info":"⋎⨆⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸A45⪃↞⩐=⫖↰⪸5440","layer":3},{"info":"⫖↰⪸5440⪬∳=⫖↰⪸-4B1","layer":2},{"info":"⫖↰⪸1767⫸⊐⫖↰⪸4B22=⫖↰⪸177A3","layer":3},{"info":"⫖↰⪸967↞⋁⫖↰⪸19BA=NaN","layer":3},{"info":"⫖↰⪸177A3⊋≦⊧NaN=NaN","layer":2},{"info":"⫖↰⪸-4B1-NaN=NaN","layer":1},{"info":"⫖↰⪸0≚⊃≕NaN=⫖↰⪸-1B6A","layer":0}]}
{"id":711,"expression_no_base_symbol":"(($5407$⩨$1514$)⪢($3989$⋻⩜⩜$6535$)⋳⪒(($1057$⪒$9003$)⋘⨑⨽))⨪↰⇹(($1419$⊾⪯⋞$5586$)⨪↰⇹($7643$⨱∎))⋥⋵⩄($1064$≁↽≥$3303$⋥≓≎(↩⪖$2209$))","expression":"((⫖↰⪸3167⩨⫖↰⪸A62)⪢(⫖↰⪸2385⋻⩜⩜⫖↰⪸3947)⋳⪒((⫖↰⪸741⪒⫖↰⪸5263)⋘⨑⨽))⨪↰⇹((⫖↰⪸9A3⊾⪯⋞⫖↰⪸3296)⨪↰⇹(⫖↰⪸450B⨱∎))⋥⋵⩄(⫖↰⪸748≁↽≥⫖↰⪸1AB3⋥≓≎(↩⪖⫖↰⪸1341))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":110387,"operation_count":14,"complexity_ratio":7884.785714285715,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5407,"base":12},"right_expr":{"type":"numeric_atoms","value":1514,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3989,"base":12},"right_expr":{"type":"numeric_atoms","value":6535,"base":12}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1057,"base":12},"right_expr":{"type":"numeric_atoms","value":9003,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1419,"base":12},"right_expr":{"type":"numeric_atoms","value":5586,"base":12}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":7643,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1064,"base":12},"right_expr":{"type":"numeric_atoms","value":3303,"base":12}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2209,"base":12}}}}},"used_operators":["tmPS8pqC7x","12rbrZMWeM","dWAJyo7jo9","2DlMacCsIx","oDCm7WA9JY","WmT3o8z6ya","f6k1SAg4EE","7t3wd0Fuz7","HK0tfVPux8","MmTdOpaElr","Qy55tPpLXF","ncHt1X6cMc","fG6uBQFnGz"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5407","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=1514, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=3989","layer":4},{"info":"number node, value=6535","layer":4},{"info":"compute binary expreesion, left_input=3989, right_input=6535, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7978","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7978, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=9003","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=9003, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10060","layer":3},{"info":"compute unary expreesion, input=-10060, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-49517","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-49517, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1419","layer":4},{"info":"number node, value=5586","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=5586, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=10746","layer":3},{"info":"number node, value=7643","layer":4},{"info":"compute unary expreesion, input=7643, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10746, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=10746","layer":2},{"info":"number node, value=1064","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=3303, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25892","layer":3},{"info":"number node, value=2209","layer":4},{"info":"compute unary expreesion, input=2209, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-16236","layer":3},{"info":"compute binary expreesion, left_input=25892, right_input=-16236, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-58331","layer":2},{"info":"compute binary expreesion, left_input=10746, right_input=-58331, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=560274","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=560274, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":12,"result_base":12,"text":"((⫖↰⪸3167⩨⫖↰⪸A62)⪢(⫖↰⪸2385⋻⩜⩜⫖↰⪸3947)⋳⪒((⫖↰⪸741⪒⫖↰⪸5263)⋘⨑⨽))⨪↰⇹((⫖↰⪸9A3⊾⪯⋞⫖↰⪸3296)⨪↰⇹(⫖↰⪸450B⨱∎))⋥⋵⩄(⫖↰⪸748≁↽≥⫖↰⪸1AB3⋥≓≎(↩⪖⫖↰⪸1341))=NaN","reverse_text":"NaN=((⫖↰⪸3167⩨⫖↰⪸A62)⪢(⫖↰⪸2385⋻⩜⩜⫖↰⪸3947)⋳⪒((⫖↰⪸741⪒⫖↰⪸5263)⋘⨑⨽))⨪↰⇹((⫖↰⪸9A3⊾⪯⋞⫖↰⪸3296)⨪↰⇹(⫖↰⪸450B⨱∎))⋥⋵⩄(⫖↰⪸748≁↽≥⫖↰⪸1AB3⋥≓≎(↩⪖⫖↰⪸1341))","cot":[{"info":"⫖↰⪸3167⩨⫖↰⪸A62=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2385⋻⩜⩜⫖↰⪸3947=⫖↰⪸474A","layer":3},{"info":"⫖↰⪸0⪢⫖↰⪸474A=NaN","layer":2},{"info":"⫖↰⪸741⪒⫖↰⪸5263=⫖↰⪸-59A4","layer":3},{"info":"⫖↰⪸-59A4⋘⨑⨽=⫖↰⪸-247A5","layer":2},{"info":"NaN⋳⪒⫖↰⪸-247A5=NaN","layer":1},{"info":"⫖↰⪸9A3⊾⪯⋞⫖↰⪸3296=⫖↰⪸6276","layer":3},{"info":"⫖↰⪸450B⨱∎=⫖↰⪸0","layer":3},{"info":"⫖↰⪸6276⨪↰⇹⫖↰⪸0=⫖↰⪸6276","layer":2},{"info":"⫖↰⪸748≁↽≥⫖↰⪸1AB3=⫖↰⪸12B98","layer":3},{"info":"↩⪖⫖↰⪸1341=⫖↰⪸-9490","layer":3},{"info":"⫖↰⪸12B98⋥≓≎⫖↰⪸-9490=⫖↰⪸-2990B","layer":2},{"info":"⫖↰⪸6276⋥⋵⩄⫖↰⪸-2990B=⫖↰⪸230296","layer":1},{"info":"NaN⨪↰⇹⫖↰⪸230296=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"($6655$↳≱$1546$)⋕⪉⪜($1183$⇤$3541$)↢(($6142$∠⫱$4212$)⪶≀⋏$4034$⨚$1202$)∀⇚≩((($2464$⪉⨛$4504$)⋾⨃∁($1327$⫍⨯↯))↦)","expression":"(⫖↰⪸3A27↳≱⫖↰⪸A8A)⋕⪉⪜(⫖↰⪸827⇤⫖↰⪸2071)↢((⫖↰⪸367A∠⫱⫖↰⪸2530)⪶≀⋏⫖↰⪸2402⨚⫖↰⪸842)∀⇚≩(((⫖↰⪸1514⪉⨛⫖↰⪸2734)⋾⨃∁(⫖↰⪸927⫍⨯↯))↦)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5828879,"operation_count":12,"complexity_ratio":485739.9166666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6655,"base":12},"right_expr":{"type":"numeric_atoms","value":1546,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1183,"base":12},"right_expr":{"type":"numeric_atoms","value":3541,"base":12}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6142,"base":12},"right_expr":{"type":"numeric_atoms","value":4212,"base":12}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4034,"base":12},"right_expr":{"type":"numeric_atoms","value":1202,"base":12}}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2464,"base":12},"right_expr":{"type":"numeric_atoms","value":4504,"base":12}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1327,"base":12}}}}},"used_operators":["LRNGc0VcxI","WR6HLWljOP","z6LnFrNh4i","JwTKLfZU96","YSKBFp38Pu","zR4jO40bMj","QvoQhV0rrE","nREPSIbpBE","fFznvYxMfW","212REbPD9h","EWw2JM7wp4","ZcwmYACASQ"],"dependent_operators":["X99M06cbEe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","BjRHVeLaeN","12rbrZMWeM","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6655","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=6655, right_input=1546, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=3541","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=3541, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-20772","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-20772, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=6142","layer":4},{"info":"number node, value=4212","layer":4},{"info":"compute binary expreesion, left_input=6142, right_input=4212, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=4034","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=1202, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4194","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=4194, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12322","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=-12322, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2318","layer":1},{"info":"number node, value=2464","layer":4},{"info":"number node, value=4504","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=4504, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3103","layer":3},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1294","layer":3},{"info":"compute binary expreesion, left_input=3103, right_input=1294, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=16728738","layer":2},{"info":"compute unary expreesion, input=16728738, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2318, 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":12,"result_base":12,"text":"(⫖↰⪸3A27↳≱⫖↰⪸A8A)⋕⪉⪜(⫖↰⪸827⇤⫖↰⪸2071)↢((⫖↰⪸367A∠⫱⫖↰⪸2530)⪶≀⋏⫖↰⪸2402⨚⫖↰⪸842)∀⇚≩(((⫖↰⪸1514⪉⨛⫖↰⪸2734)⋾⨃∁(⫖↰⪸927⫍⨯↯))↦)=NaN","reverse_text":"NaN=(⫖↰⪸3A27↳≱⫖↰⪸A8A)⋕⪉⪜(⫖↰⪸827⇤⫖↰⪸2071)↢((⫖↰⪸367A∠⫱⫖↰⪸2530)⪶≀⋏⫖↰⪸2402⨚⫖↰⪸842)∀⇚≩(((⫖↰⪸1514⪉⨛⫖↰⪸2734)⋾⨃∁(⫖↰⪸927⫍⨯↯))↦)","cot":[{"info":"⫖↰⪸3A27↳≱⫖↰⪸A8A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸827⇤⫖↰⪸2071=⫖↰⪸-10030","layer":3},{"info":"⫖↰⪸0⋕⪉⪜⫖↰⪸-10030=⫖↰⪸1756","layer":2},{"info":"⫖↰⪸367A∠⫱⫖↰⪸2530=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸2402⨚⫖↰⪸842=⫖↰⪸2516","layer":3},{"info":"⫖↰⪸86A⪶≀⋏⫖↰⪸2516=⫖↰⪸-716A","layer":2},{"info":"⫖↰⪸1756↢⫖↰⪸-716A=⫖↰⪸1412","layer":1},{"info":"⫖↰⪸1514⪉⨛⫖↰⪸2734=⫖↰⪸1967","layer":3},{"info":"⫖↰⪸927⫍⨯↯=⫖↰⪸8BA","layer":3},{"info":"⫖↰⪸1967⋾⨃∁⫖↰⪸8BA=⫖↰⪸5728B96","layer":2},{"info":"⫖↰⪸5728B96↦=NaN","layer":1},{"info":"⫖↰⪸1412∀⇚≩NaN=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"((≉$2982$)∈)∓⋝(($1669$⊾⪯⋞$2612$)⩺⪪($2181$⊦⊿))∑⇟⊟((⩦⊞$1354$⨐$1976$)⪄($3782$∌↝$1095$*$1772$↳≱$7390$))","expression":"((≉⫖↰⪸1886)∈)∓⋝((⫖↰⪸B71⊾⪯⋞⫖↰⪸1618)⩺⪪(⫖↰⪸1319⊦⊿))∑⇟⊟((⩦⊞⫖↰⪸94A⨐⫖↰⪸1188)⪄(⫖↰⪸2232∌↝⫖↰⪸773*⫖↰⪸1038↳≱⫖↰⪸433A))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":452,"operation_count":13,"complexity_ratio":34.76923076923077,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2982,"base":12}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1669,"base":12},"right_expr":{"type":"numeric_atoms","value":2612,"base":12}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2181,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1354,"base":12},"right_expr":{"type":"numeric_atoms","value":1976,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3782,"base":12},"right_expr":{"type":"numeric_atoms","value":1095,"base":12}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1772,"base":12},"right_expr":{"type":"numeric_atoms","value":7390,"base":12}}}}},"used_operators":["U7g4x0WXJJ","PoHhknlbAi","ztP7wcbY7m","e1ybzncUwg","uvdQJvN4PV","HK0tfVPux8","14qkJME0vr","SUmda5xLS4","u7fv1HBiaC","Noe24qw2ks","9HNa5Wba9A","9Isq31Ruls","JwTKLfZU96"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2982","layer":4},{"info":"compute unary expreesion, input=2982, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3513","layer":3},{"info":"compute unary expreesion, input=3513, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=9868","layer":2},{"info":"number node, value=1669","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=2612, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4798","layer":3},{"info":"number node, value=2181","layer":4},{"info":"compute unary expreesion, input=2181, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6622","layer":3},{"info":"compute binary expreesion, left_input=4798, right_input=-6622, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-183618","layer":2},{"info":"compute binary expreesion, left_input=9868, right_input=-183618, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1354","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=1976, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2708","layer":3},{"info":"compute unary expreesion, input=-2708, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5472","layer":2},{"info":"number node, value=3782","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=3782, right_input=1095, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=7390","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=7390, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5472, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=3979, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≉⫖↰⪸1886)∈)∓⋝((⫖↰⪸B71⊾⪯⋞⫖↰⪸1618)⩺⪪(⫖↰⪸1319⊦⊿))∑⇟⊟((⩦⊞⫖↰⪸94A⨐⫖↰⪸1188)⪄(⫖↰⪸2232∌↝⫖↰⪸773*⫖↰⪸1038↳≱⫖↰⪸433A))=NaN","reverse_text":"NaN=((≉⫖↰⪸1886)∈)∓⋝((⫖↰⪸B71⊾⪯⋞⫖↰⪸1618)⩺⪪(⫖↰⪸1319⊦⊿))∑⇟⊟((⩦⊞⫖↰⪸94A⨐⫖↰⪸1188)⪄(⫖↰⪸2232∌↝⫖↰⪸773*⫖↰⪸1038↳≱⫖↰⪸433A))","cot":[{"info":"≉⫖↰⪸1886=⫖↰⪸2049","layer":3},{"info":"⫖↰⪸2049∈=⫖↰⪸5864","layer":2},{"info":"⫖↰⪸B71⊾⪯⋞⫖↰⪸1618=⫖↰⪸293A","layer":3},{"info":"⫖↰⪸1319⊦⊿=⫖↰⪸-39BA","layer":3},{"info":"⫖↰⪸293A⩺⪪⫖↰⪸-39BA=⫖↰⪸-8A316","layer":2},{"info":"⫖↰⪸5864∓⋝⫖↰⪸-8A316=⫖↰⪸57","layer":1},{"info":"⫖↰⪸94A⨐⫖↰⪸1188=⫖↰⪸-1698","layer":3},{"info":"⩦⊞⫖↰⪸-1698=⫖↰⪸-3200","layer":2},{"info":"⫖↰⪸2232∌↝⫖↰⪸773=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1038↳≱⫖↰⪸433A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0*⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-3200⪄⫖↰⪸0=⫖↰⪸2377","layer":1},{"info":"⫖↰⪸57∑⇟⊟⫖↰⪸2377=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"(($1067$≀⫉$3910$∸)⩹($4539$⇽⩪)↸$6345$∋$9798$)≀⫉((⇨(⊗$4741$))⋻⩜⩜($3495$∙⊟$1867$)⋥≓≎($1972$⨲))","expression":"((⫖↰⪸74B≀⫉⫖↰⪸231A∸)⩹(⫖↰⪸2763⇽⩪)↸⫖↰⪸3809∋⫖↰⪸5806)≀⫉((⇨(⊗⫖↰⪸28B1))⋻⩜⩜(⫖↰⪸2033∙⊟⫖↰⪸10B7)⋥≓≎(⫖↰⪸1184⨲))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":311519,"operation_count":13,"complexity_ratio":23963.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1067,"base":12},"right_expr":{"type":"numeric_atoms","value":3910,"base":12}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":4539,"base":12}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":6345,"base":12},"right_expr":{"type":"numeric_atoms","value":9798,"base":12}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4741,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3495,"base":12},"right_expr":{"type":"numeric_atoms","value":1867,"base":12}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":1972,"base":12}}}}},"used_operators":["oZj3VtZNQx","2Wsdkap16l","o20kRiQErp","1eCjFl0mb9","FonBHBYJbU","ukq6epAj5P","oDCm7WA9JY","G9tJMlZ94a","RhiyfpczSx","Qy55tPpLXF","SxTAKzQCrw","nLYMGWM7L8"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","k8jYdgA6NY","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ"],"result":"⫖↰⪸1772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"number node, value=3910","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=3910, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4539","layer":4},{"info":"compute unary expreesion, input=4539, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=9600","layer":3},{"info":"number node, value=6345","layer":4},{"info":"number node, value=9798","layer":4},{"info":"compute binary expreesion, left_input=6345, right_input=9798, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=20577724","layer":3},{"info":"compute binary expreesion, left_input=9600, right_input=20577724, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=9600","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=9600, 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=9598","layer":1},{"info":"number node, value=4741","layer":4},{"info":"compute unary expreesion, input=4741, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-9482","layer":3},{"info":"compute unary expreesion, input=-9482, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=3495","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=1867, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=55281","layer":3},{"info":"number node, value=1972","layer":4},{"info":"compute unary expreesion, input=1972, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=347904013","layer":3},{"info":"compute binary expreesion, left_input=55281, right_input=347904013, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=695752778","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=695752778, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1924","layer":1},{"info":"compute binary expreesion, left_input=9598, right_input=1924, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸74B≀⫉⫖↰⪸231A∸)⩹(⫖↰⪸2763⇽⩪)↸⫖↰⪸3809∋⫖↰⪸5806)≀⫉((⇨(⊗⫖↰⪸28B1))⋻⩜⩜(⫖↰⪸2033∙⊟⫖↰⪸10B7)⋥≓≎(⫖↰⪸1184⨲))=⫖↰⪸1772","reverse_text":"⫖↰⪸1772=((⫖↰⪸74B≀⫉⫖↰⪸231A∸)⩹(⫖↰⪸2763⇽⩪)↸⫖↰⪸3809∋⫖↰⪸5806)≀⫉((⇨(⊗⫖↰⪸28B1))⋻⩜⩜(⫖↰⪸2033∙⊟⫖↰⪸10B7)⋥≓≎(⫖↰⪸1184⨲))","cot":[{"info":"⫖↰⪸74B≀⫉⫖↰⪸231A=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸1772∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸2763⇽⩪=⫖↰⪸5680","layer":3},{"info":"⫖↰⪸3809∋⫖↰⪸5806=⫖↰⪸6A844A4","layer":3},{"info":"⫖↰⪸5680↸⫖↰⪸6A844A4=⫖↰⪸5680","layer":2},{"info":"⫖↰⪸129⩹⫖↰⪸5680=⫖↰⪸567A","layer":1},{"info":"⊗⫖↰⪸28B1=⫖↰⪸-55A2","layer":3},{"info":"⇨⫖↰⪸-55A2=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2033∙⊟⫖↰⪸10B7=⫖↰⪸27BA9","layer":3},{"info":"⫖↰⪸1184⨲=⫖↰⪸98619411","layer":3},{"info":"⫖↰⪸27BA9⋥≓≎⫖↰⪸98619411=⫖↰⪸17500A862","layer":2},{"info":"⫖↰⪸0⋻⩜⩜⫖↰⪸17500A862=⫖↰⪸1144","layer":1},{"info":"⫖↰⪸567A≀⫉⫖↰⪸1144=⫖↰⪸1772","layer":0}]}
{"id":715,"expression_no_base_symbol":"($1601$⪎↠$3258$)≎⪠($1343$⊋$2058$)⇍⊗($2499$≭$2508$⋥≓≎$2182$+⪬∐$3427$)⊾⪯⋞((⊑$2551$)∽$2629$∺≝⩲$5771$⨵⪆((↘$1336$)⩁))","expression":"(⫖↰⪸B15⪎↠⫖↰⪸1A76)≎⪠(⫖↰⪸93B⊋⫖↰⪸1236)⇍⊗(⫖↰⪸1543≭⫖↰⪸1550⋥≓≎⫖↰⪸131A+⪬∐⫖↰⪸1B97)⊾⪯⋞((⊑⫖↰⪸1587)∽⫖↰⪸1631∺≝⩲⫖↰⪸340B⨵⪆((↘⫖↰⪸934)⩁))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":21466,"operation_count":14,"complexity_ratio":1533.2857142857142,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1601,"base":12},"right_expr":{"type":"numeric_atoms","value":3258,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1343,"base":12},"right_expr":{"type":"numeric_atoms","value":2058,"base":12}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2499,"base":12},"right_expr":{"type":"numeric_atoms","value":2508,"base":12}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2182,"base":12},"right_expr":{"type":"numeric_atoms","value":3427,"base":12}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2551,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2629,"base":12},"right_expr":{"type":"numeric_atoms","value":5771,"base":12}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1336,"base":12}}}}},"used_operators":["HK0tfVPux8","5uvYHDjeKN","aNhz54LH3e","3tVxb0NHM4","W4tP9CfskL","Qy55tPpLXF","rxpJgHHUmx","2GS7woTJqF","2DQ55sFlQl","y4ImoPnbV5","IkUmn0D7oy","KPf6cnQVty","5GqDbVmqXU","LdNpr8hQHL"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","uFcxV4UQCh"],"result":"⫖↰⪸-582","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1601","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=3258, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1343","layer":4},{"info":"number node, value=2058","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=2058, 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=-10694320","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-10694320, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=2499","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=2508, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2182","layer":4},{"info":"number node, value=3427","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=3427, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6546","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6546, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=67, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=2551","layer":4},{"info":"compute unary expreesion, input=2551, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=2629","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=2629, right_input=5771, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-1262","layer":2},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-160","layer":2},{"info":"compute binary expreesion, left_input=-1262, right_input=-160, 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=-244, right_input=160, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸B15⪎↠⫖↰⪸1A76)≎⪠(⫖↰⪸93B⊋⫖↰⪸1236)⇍⊗(⫖↰⪸1543≭⫖↰⪸1550⋥≓≎⫖↰⪸131A+⪬∐⫖↰⪸1B97)⊾⪯⋞((⊑⫖↰⪸1587)∽⫖↰⪸1631∺≝⩲⫖↰⪸340B⨵⪆((↘⫖↰⪸934)⩁))=⫖↰⪸-582","reverse_text":"⫖↰⪸-582=(⫖↰⪸B15⪎↠⫖↰⪸1A76)≎⪠(⫖↰⪸93B⊋⫖↰⪸1236)⇍⊗(⫖↰⪸1543≭⫖↰⪸1550⋥≓≎⫖↰⪸131A+⪬∐⫖↰⪸1B97)⊾⪯⋞((⊑⫖↰⪸1587)∽⫖↰⪸1631∺≝⩲⫖↰⪸340B⨵⪆((↘⫖↰⪸934)⩁))","cot":[{"info":"⫖↰⪸B15⪎↠⫖↰⪸1A76=⫖↰⪸114","layer":3},{"info":"⫖↰⪸93B⊋⫖↰⪸1236=⫖↰⪸-36B8A14","layer":3},{"info":"⫖↰⪸114≎⪠⫖↰⪸-36B8A14=⫖↰⪸B39A","layer":2},{"info":"⫖↰⪸1543≭⫖↰⪸1550=NaN","layer":3},{"info":"⫖↰⪸131A+⪬∐⫖↰⪸1B97=⫖↰⪸-3956","layer":3},{"info":"NaN⋥≓≎⫖↰⪸-3956=⫖↰⪸57","layer":2},{"info":"⫖↰⪸B39A⇍⊗⫖↰⪸57=⫖↰⪸-184","layer":1},{"info":"⊑⫖↰⪸1587=⫖↰⪸140","layer":3},{"info":"⫖↰⪸1631∺≝⩲⫖↰⪸340B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸140∽⫖↰⪸114=⫖↰⪸-892","layer":2},{"info":"↘⫖↰⪸934=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⩁=⫖↰⪸-114","layer":2},{"info":"⫖↰⪸-892⨵⪆⫖↰⪸-114=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-184⊾⪯⋞⫖↰⪸114=⫖↰⪸-582","layer":0}]}
{"id":716,"expression_no_base_symbol":"⊗(≇⪴($2424$⨽$2224$))∺≝⩲((⇙⪊$2001$)⫉⨲⊜($1048$⨪↰⇹$1688$))","expression":"⊗(≇⪴(⫖↰⪸14A0⨽⫖↰⪸1354))∺≝⩲((⇙⪊⫖↰⪸11A9)⫉⨲⊜(⫖↰⪸734⨪↰⇹⫖↰⪸B88))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3541,"operation_count":7,"complexity_ratio":505.85714285714283,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2424,"base":12},"right_expr":{"type":"numeric_atoms","value":2224,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":2001,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":1688,"base":12}}}}},"used_operators":["RhiyfpczSx","KPf6cnQVty","zoVPnxeHJ3","8HhzD0ZcuI","WhqkvtTD3t","pB6Fcnrjim","tmPS8pqC7x"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eewbuw0ToL","zVYPLywUTj","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rJVOvQCfKK"],"result":"⫖↰⪸164","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2424","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=2224, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17632686","layer":3},{"info":"compute unary expreesion, input=-17632686, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-70530744","layer":2},{"info":"number node, value=2001","layer":4},{"info":"compute unary expreesion, input=2001, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1688, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1048","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1048, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-70530744, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(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":12,"result_base":12,"text":"⊗(≇⪴(⫖↰⪸14A0⨽⫖↰⪸1354))∺≝⩲((⇙⪊⫖↰⪸11A9)⫉⨲⊜(⫖↰⪸734⨪↰⇹⫖↰⪸B88))=⫖↰⪸164","reverse_text":"⫖↰⪸164=⊗(≇⪴(⫖↰⪸14A0⨽⫖↰⪸1354))∺≝⩲((⇙⪊⫖↰⪸11A9)⫉⨲⊜(⫖↰⪸734⨪↰⇹⫖↰⪸B88))","cot":[{"info":"⫖↰⪸14A0⨽⫖↰⪸1354=⫖↰⪸-5AA4126","layer":3},{"info":"≇⪴⫖↰⪸-5AA4126=⫖↰⪸-1B7544A0","layer":2},{"info":"⇙⪊⫖↰⪸11A9=⫖↰⪸0","layer":3},{"info":"⫖↰⪸734⨪↰⇹⫖↰⪸B88=⫖↰⪸734","layer":3},{"info":"⫖↰⪸0⫉⨲⊜⫖↰⪸734=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-1B7544A0∺≝⩲⫖↰⪸0=⫖↰⪸114","layer":1},{"info":"⊗⫖↰⪸114=⫖↰⪸164","layer":0}]}
{"id":717,"expression_no_base_symbol":"(($4376$⊊)⇣⩺⋵($4899$⊓⋫)⋥≓≎(⨵≀≌($7975$-$1171$)))≥⨤⩑(((⇙⪊$3884$)⫍⨯↯)⫡⨏(↴⪽⋼$3848$)⋭≵($5582$⫚↹⊑$1171$))","expression":"((⫖↰⪸2648⊊)⇣⩺⋵(⫖↰⪸2A03⊓⋫)⋥≓≎(⨵≀≌(⫖↰⪸4747-⫖↰⪸817)))≥⨤⩑(((⇙⪊⫖↰⪸22B8)⫍⨯↯)⫡⨏(↴⪽⋼⫖↰⪸2288)⋭≵(⫖↰⪸3292⫚↹⊑⫖↰⪸817))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":427,"operation_count":13,"complexity_ratio":32.84615384615385,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":4376,"base":12}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":4899,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7975,"base":12},"right_expr":{"type":"numeric_atoms","value":1171,"base":12}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":3884,"base":12}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3848,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5582,"base":12},"right_expr":{"type":"numeric_atoms","value":1171,"base":12}}}}},"used_operators":["gJLn6v0xnP","Qy55tPpLXF","F4yD0voBRQ","W9R8I5fN5A","IqGBaFP0uj","srAu1WTS94","rysDP5nf3Z","QMFrweE19q","ZcwmYACASQ","pB6Fcnrjim","jBncVCNhdl","5TUYCnJO6w","dfKe02y8D2"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4376","layer":4},{"info":"compute unary expreesion, input=4376, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"number node, value=4899","layer":4},{"info":"compute unary expreesion, input=4899, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-5027","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=-5027, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=7975","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=7975, right_input=1171, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6804","layer":3},{"info":"compute unary expreesion, input=6804, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20412","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-20412, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-40531","layer":1},{"info":"number node, value=3884","layer":4},{"info":"compute unary expreesion, input=3884, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-66","layer":2},{"info":"number node, value=3848","layer":4},{"info":"compute unary expreesion, input=3848, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3848","layer":3},{"info":"number node, value=5582","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=5582, right_input=1171, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=3848, right_input=-447, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-66, right_input=67, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=587","layer":1},{"info":"compute binary expreesion, left_input=-40531, right_input=587, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2648⊊)⇣⩺⋵(⫖↰⪸2A03⊓⋫)⋥≓≎(⨵≀≌(⫖↰⪸4747-⫖↰⪸817)))≥⨤⩑(((⇙⪊⫖↰⪸22B8)⫍⨯↯)⫡⨏(↴⪽⋼⫖↰⪸2288)⋭≵(⫖↰⪸3292⫚↹⊑⫖↰⪸817))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((⫖↰⪸2648⊊)⇣⩺⋵(⫖↰⪸2A03⊓⋫)⋥≓≎(⨵≀≌(⫖↰⪸4747-⫖↰⪸817)))≥⨤⩑(((⇙⪊⫖↰⪸22B8)⫍⨯↯)⫡⨏(↴⪽⋼⫖↰⪸2288)⋭≵(⫖↰⪸3292⫚↹⊑⫖↰⪸817))","cot":[{"info":"⫖↰⪸2648⊊=⫖↰⪸44753","layer":3},{"info":"⫖↰⪸2A03⊓⋫=⫖↰⪸-2AAB","layer":3},{"info":"⫖↰⪸44753⇣⩺⋵⫖↰⪸-2AAB=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸4747-⫖↰⪸817=⫖↰⪸3B30","layer":3},{"info":"⨵≀≌⫖↰⪸3B30=⫖↰⪸-B990","layer":2},{"info":"⫖↰⪸-198⋥≓≎⫖↰⪸-B990=⫖↰⪸-1B557","layer":1},{"info":"⇙⪊⫖↰⪸22B8=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⫍⨯↯=⫖↰⪸-56","layer":2},{"info":"↴⪽⋼⫖↰⪸2288=⫖↰⪸2288","layer":3},{"info":"⫖↰⪸3292⫚↹⊑⫖↰⪸817=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸2288⋭≵⫖↰⪸-313=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-56⫡⨏⫖↰⪸57=⫖↰⪸40B","layer":1},{"info":"⫖↰⪸-1B557≥⨤⩑⫖↰⪸40B=⫖↰⪸86A","layer":0}]}
{"id":718,"expression_no_base_symbol":"($2907$⫒⫫$3244$+⇶⊼($4451$∕⩚$3197$)⫳≱↱$2826$↢$9036$⇴(→⩰$1530$))⩌⋺($1528$↞⋁$1065$⫔⩽⩺$1043$⨜⨶$2268$)⊉↱≁($3203$⊲⩕⊾$1806$⋖∅⋲)","expression":"(⫖↰⪸1823⫒⫫⫖↰⪸1A64+⇶⊼(⫖↰⪸26AB∕⩚⫖↰⪸1A25)⫳≱↱⫖↰⪸1776↢⫖↰⪸5290⇴(→⩰⫖↰⪸A76))⩌⋺(⫖↰⪸A74↞⋁⫖↰⪸749⫔⩽⩺⫖↰⪸72B⨜⨶⫖↰⪸1390)⊉↱≁(⫖↰⪸1A2B⊲⩕⊾⫖↰⪸1066⋖∅⋲)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6768,"operation_count":14,"complexity_ratio":483.42857142857144,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2907,"base":12},"right_expr":{"type":"numeric_atoms","value":3244,"base":12}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4451,"base":12},"right_expr":{"type":"numeric_atoms","value":3197,"base":12}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2826,"base":12},"right_expr":{"type":"numeric_atoms","value":9036,"base":12}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1530,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1528,"base":12},"right_expr":{"type":"numeric_atoms","value":1065,"base":12}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1043,"base":12},"right_expr":{"type":"numeric_atoms","value":2268,"base":12}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3203,"base":12},"right_expr":{"type":"numeric_atoms","value":1806,"base":12}}}}},"used_operators":["g7Hmc5v1ko","ZvLB05nZmT","TpPTUOHfaN","6Ko8hGgeMq","z9ffQ9n5Zr","4JB6nKBMSY","WR6HLWljOP","o8Pngz0Tml","w2P8NbNXyL","i9eR4S00cU","RqrPlJkxDo","HiPekx5b7W","L95AwlJzhO","DmTXOeWf9t"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Tw270M8GLb","fu6greOZ01","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2907","layer":4},{"info":"number node, value=3244","layer":4},{"info":"compute binary expreesion, left_input=2907, right_input=3244, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=4451","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=4451, right_input=3197, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4454","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4454, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2826","layer":4},{"info":"number node, value=9036","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=9036, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2342","layer":3},{"info":"number node, value=1530","layer":4},{"info":"compute unary expreesion, input=1530, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2342, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"number node, value=1528","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=1065, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=2268, 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=-4280","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4280, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=3203","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=1806, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-65938","layer":3},{"info":"compute unary expreesion, input=-65938, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1823⫒⫫⫖↰⪸1A64+⇶⊼(⫖↰⪸26AB∕⩚⫖↰⪸1A25)⫳≱↱⫖↰⪸1776↢⫖↰⪸5290⇴(→⩰⫖↰⪸A76))⩌⋺(⫖↰⪸A74↞⋁⫖↰⪸749⫔⩽⩺⫖↰⪸72B⨜⨶⫖↰⪸1390)⊉↱≁(⫖↰⪸1A2B⊲⩕⊾⫖↰⪸1066⋖∅⋲)=NaN","reverse_text":"NaN=(⫖↰⪸1823⫒⫫⫖↰⪸1A64+⇶⊼(⫖↰⪸26AB∕⩚⫖↰⪸1A25)⫳≱↱⫖↰⪸1776↢⫖↰⪸5290⇴(→⩰⫖↰⪸A76))⩌⋺(⫖↰⪸A74↞⋁⫖↰⪸749⫔⩽⩺⫖↰⪸72B⨜⨶⫖↰⪸1390)⊉↱≁(⫖↰⪸1A2B⊲⩕⊾⫖↰⪸1066⋖∅⋲)","cot":[{"info":"⫖↰⪸1823⫒⫫⫖↰⪸1A64=NaN","layer":3},{"info":"⫖↰⪸26AB∕⩚⫖↰⪸1A25=⫖↰⪸-26B2","layer":3},{"info":"NaN+⇶⊼⫖↰⪸-26B2=NaN","layer":2},{"info":"⫖↰⪸1776↢⫖↰⪸5290=⫖↰⪸1432","layer":3},{"info":"→⩰⫖↰⪸A76=NaN","layer":3},{"info":"⫖↰⪸1432⇴NaN=NaN","layer":2},{"info":"NaN⫳≱↱NaN=NaN","layer":1},{"info":"⫖↰⪸A74↞⋁⫖↰⪸749=NaN","layer":3},{"info":"⫖↰⪸72B⨜⨶⫖↰⪸1390=⫖↰⪸-2588","layer":3},{"info":"NaN⫔⩽⩺⫖↰⪸-2588=NaN","layer":2},{"info":"⫖↰⪸1A2B⊲⩕⊾⫖↰⪸1066=⫖↰⪸-321AA","layer":3},{"info":"⫖↰⪸-321AA⋖∅⋲=⫖↰⪸0","layer":2},{"info":"NaN⊉↱≁⫖↰⪸0=NaN","layer":1},{"info":"NaN⩌⋺NaN=NaN","layer":0}]}
{"id":719,"expression_no_base_symbol":"(∑⇻≧($5486$⊧↖)≥⨤⩑$3517$∥⊢⊲$3042$)⊲⩕⊾((($1448$⫳≱↱$3132$)⋥≓≎$3708$↳∿⪆$2055$)⪘⫢($2021$⇴$4624$⨳⩥⨓$1761$≚⊃≕$7973$))","expression":"(∑⇻≧(⫖↰⪸3212⊧↖)≥⨤⩑⫖↰⪸2051∥⊢⊲⫖↰⪸1916)⊲⩕⊾(((⫖↰⪸A08⫳≱↱⫖↰⪸1990)⋥≓≎⫖↰⪸2190↳∿⪆⫖↰⪸1233)⪘⫢(⫖↰⪸1205⇴⫖↰⪸2814⨳⩥⨓⫖↰⪸1029≚⊃≕⫖↰⪸4745))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8351,"operation_count":12,"complexity_ratio":695.9166666666666,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":5486,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3517,"base":12},"right_expr":{"type":"numeric_atoms","value":3042,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1448,"base":12},"right_expr":{"type":"numeric_atoms","value":3132,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3708,"base":12},"right_expr":{"type":"numeric_atoms","value":2055,"base":12}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2021,"base":12},"right_expr":{"type":"numeric_atoms","value":4624,"base":12}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1761,"base":12},"right_expr":{"type":"numeric_atoms","value":7973,"base":12}}}}},"used_operators":["DmTXOeWf9t","l1M9WJ3V7u","gJLn6v0xnP","EKiFHuOFxO","v1UQAVDJRr","oacrs7FA3X","Qy55tPpLXF","ZvLB05nZmT","Cw4SuJJGHO","nCS4ZIUYfx","4JB6nKBMSY","Bmrmz2XGnR"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","EBcxylXtPf","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5486","layer":4},{"info":"compute unary expreesion, input=5486, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=180607220","layer":3},{"info":"number node, value=3517","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=3042, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=180607220, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=1448","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=3132, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3708","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=3708, right_input=2055, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=4624, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20988","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=7973","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=7973, 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=-23893","layer":3},{"info":"compute binary expreesion, left_input=20988, right_input=-23893, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-44881","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-44881, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∑⇻≧(⫖↰⪸3212⊧↖)≥⨤⩑⫖↰⪸2051∥⊢⊲⫖↰⪸1916)⊲⩕⊾(((⫖↰⪸A08⫳≱↱⫖↰⪸1990)⋥≓≎⫖↰⪸2190↳∿⪆⫖↰⪸1233)⪘⫢(⫖↰⪸1205⇴⫖↰⪸2814⨳⩥⨓⫖↰⪸1029≚⊃≕⫖↰⪸4745))=NaN","reverse_text":"NaN=(∑⇻≧(⫖↰⪸3212⊧↖)≥⨤⩑⫖↰⪸2051∥⊢⊲⫖↰⪸1916)⊲⩕⊾(((⫖↰⪸A08⫳≱↱⫖↰⪸1990)⋥≓≎⫖↰⪸2190↳∿⪆⫖↰⪸1233)⪘⫢(⫖↰⪸1205⇴⫖↰⪸2814⨳⩥⨓⫖↰⪸1029≚⊃≕⫖↰⪸4745))","cot":[{"info":"⫖↰⪸3212⊧↖=⫖↰⪸5059A098","layer":3},{"info":"⫖↰⪸2051∥⊢⊲⫖↰⪸1916=NaN","layer":3},{"info":"⫖↰⪸5059A098≥⨤⩑NaN=⫖↰⪸86A","layer":2},{"info":"∑⇻≧⫖↰⪸86A=⫖↰⪸-5B0","layer":1},{"info":"⫖↰⪸A08⫳≱↱⫖↰⪸1990=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸2190↳∿⪆⫖↰⪸1233=NaN","layer":3},{"info":"⫖↰⪸-150⋥≓≎NaN=NaN","layer":2},{"info":"⫖↰⪸1205⇴⫖↰⪸2814=⫖↰⪸10190","layer":3},{"info":"⫖↰⪸1029≚⊃≕⫖↰⪸4745=⫖↰⪸-119B1","layer":3},{"info":"⫖↰⪸10190⨳⩥⨓⫖↰⪸-119B1=⫖↰⪸-21B81","layer":2},{"info":"NaN⪘⫢⫖↰⪸-21B81=NaN","layer":1},{"info":"⫖↰⪸-5B0⊲⩕⊾NaN=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"(($1030$⪨≂$1562$)⋳⪒($4866$≬⋮$2513$))≠≀(⊖∈(⇋⊎⋝$5677$))⩵∡((↥$1774$)≎⊠⪸($1598$⫌⩹⨱))⪕(⋎⨆$2126$)⩼⇪↪($2298$⨻⩈⩔$2373$)","expression":"((⫖↰⪸71A⪨≂⫖↰⪸AA2)⋳⪒(⫖↰⪸2996≬⋮⫖↰⪸1555))≠≀(⊖∈(⇋⊎⋝⫖↰⪸3351))⩵∡((↥⫖↰⪸103A)≎⊠⪸(⫖↰⪸B12⫌⩹⨱))⪕(⋎⨆⫖↰⪸1292)⩼⇪↪(⫖↰⪸13B6⨻⩈⩔⫖↰⪸1459)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6008,"operation_count":14,"complexity_ratio":429.14285714285717,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1030,"base":12},"right_expr":{"type":"numeric_atoms","value":1562,"base":12}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4866,"base":12},"right_expr":{"type":"numeric_atoms","value":2513,"base":12}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":5677,"base":12}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1774,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1598,"base":12}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2126,"base":12}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2298,"base":12},"right_expr":{"type":"numeric_atoms","value":2373,"base":12}}}}},"used_operators":["Y7wcNGrDQJ","IwW236VD4Y","12rbrZMWeM","sdazOOVcIp","kbkesczE7y","YFxL8Sc2Zy","CzM2PEoXns","umQnsF7QlU","bJkvcejdHO","A8NUZmVepG","EBcxylXtPf","ocnLzx9CaJ","E64sFOc4tB","nEsXyWgiOK"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","dWAJyo7jo9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⫖↰⪸-7016","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1562, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-962","layer":3},{"info":"number node, value=4866","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=4866, right_input=2513, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-962, right_input=868, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3079","layer":2},{"info":"number node, value=5677","layer":4},{"info":"compute unary expreesion, input=5677, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3079, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=6464","layer":1},{"info":"number node, value=1774","layer":4},{"info":"compute unary expreesion, input=1774, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"number node, value=1598","layer":4},{"info":"compute unary expreesion, input=1598, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4597","layer":3},{"info":"compute binary expreesion, left_input=40, right_input=4597, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=9887","layer":2},{"info":"number node, value=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2298","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=2373, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9983","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9983, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-70664","layer":2},{"info":"compute binary expreesion, left_input=9887, right_input=-70664, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=6464, right_input=935, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-12114","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸71A⪨≂⫖↰⪸AA2)⋳⪒(⫖↰⪸2996≬⋮⫖↰⪸1555))≠≀(⊖∈(⇋⊎⋝⫖↰⪸3351))⩵∡((↥⫖↰⪸103A)≎⊠⪸(⫖↰⪸B12⫌⩹⨱))⪕(⋎⨆⫖↰⪸1292)⩼⇪↪(⫖↰⪸13B6⨻⩈⩔⫖↰⪸1459)=⫖↰⪸-7016","reverse_text":"⫖↰⪸-7016=((⫖↰⪸71A⪨≂⫖↰⪸AA2)⋳⪒(⫖↰⪸2996≬⋮⫖↰⪸1555))≠≀(⊖∈(⇋⊎⋝⫖↰⪸3351))⩵∡((↥⫖↰⪸103A)≎⊠⪸(⫖↰⪸B12⫌⩹⨱))⪕(⋎⨆⫖↰⪸1292)⩼⇪↪(⫖↰⪸13B6⨻⩈⩔⫖↰⪸1459)","cot":[{"info":"⫖↰⪸71A⪨≂⫖↰⪸AA2=⫖↰⪸-682","layer":3},{"info":"⫖↰⪸2996≬⋮⫖↰⪸1555=⫖↰⪸604","layer":3},{"info":"⫖↰⪸-682⋳⪒⫖↰⪸604=⫖↰⪸-1947","layer":2},{"info":"⇋⊎⋝⫖↰⪸3351=NaN","layer":3},{"info":"⊖∈NaN=NaN","layer":2},{"info":"⫖↰⪸-1947≠≀NaN=⫖↰⪸38A8","layer":1},{"info":"↥⫖↰⪸103A=⫖↰⪸34","layer":3},{"info":"⫖↰⪸B12⫌⩹⨱=⫖↰⪸27B1","layer":3},{"info":"⫖↰⪸34≎⊠⪸⫖↰⪸27B1=⫖↰⪸587B","layer":2},{"info":"⋎⨆⫖↰⪸1292=⫖↰⪸0","layer":3},{"info":"⫖↰⪸13B6⨻⩈⩔⫖↰⪸1459=⫖↰⪸593B","layer":3},{"info":"⫖↰⪸0⩼⇪↪⫖↰⪸593B=⫖↰⪸-34A88","layer":2},{"info":"⫖↰⪸587B⪕⫖↰⪸-34A88=⫖↰⪸65B","layer":1},{"info":"⫖↰⪸38A8⩵∡⫖↰⪸65B=⫖↰⪸-7016","layer":0}]}
{"id":721,"expression_no_base_symbol":"($1087$∌$1780$⋻⩜⩜(⋼∭⪍$1643$)⫦⪉(⊑$1984$)↳≱($3494$⫃⨇$3035$))⊮⊟↴(↓⇌($4982$⇂≾⫗$1064$⫠↝⫳))","expression":"(⫖↰⪸767∌⫖↰⪸1044⋻⩜⩜(⋼∭⪍⫖↰⪸B4B)⫦⪉(⊑⫖↰⪸1194)↳≱(⫖↰⪸2032⫃⨇⫖↰⪸190B))⊮⊟↴(↓⇌(⫖↰⪸2A72⇂≾⫗⫖↰⪸748⫠↝⫳))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":68303,"operation_count":11,"complexity_ratio":6209.363636363636,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1087,"base":12},"right_expr":{"type":"numeric_atoms","value":1780,"base":12}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1643,"base":12}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1984,"base":12}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3494,"base":12},"right_expr":{"type":"numeric_atoms","value":3035,"base":12}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4982,"base":12},"right_expr":{"type":"numeric_atoms","value":1064,"base":12}}}}},"used_operators":["QDVgd2eftb","wscyQdcy20","oDCm7WA9JY","8cLx32lpNA","DbCuESL50I","JwTKLfZU96","IkUmn0D7oy","09Ly4LVMIf","PxpmPgHHJV","8n5YIzOsVS","aBQ6xLxuTc"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⫖↰⪸9B8511","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=1780, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1780","layer":3},{"info":"number node, value=1643","layer":4},{"info":"compute unary expreesion, input=1643, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-4832","layer":3},{"info":"compute binary expreesion, left_input=-1780, right_input=-4832, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=1984","layer":4},{"info":"compute unary expreesion, input=1984, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=3494","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=3035, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-12172","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-12172, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"number node, value=4982","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=4982, right_input=1064, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-21009","layer":2},{"info":"compute unary expreesion, input=-21009, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-42018","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-42018, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=2482141","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸767∌⫖↰⪸1044⋻⩜⩜(⋼∭⪍⫖↰⪸B4B)⫦⪉(⊑⫖↰⪸1194)↳≱(⫖↰⪸2032⫃⨇⫖↰⪸190B))⊮⊟↴(↓⇌(⫖↰⪸2A72⇂≾⫗⫖↰⪸748⫠↝⫳))=⫖↰⪸9B8511","reverse_text":"⫖↰⪸9B8511=(⫖↰⪸767∌⫖↰⪸1044⋻⩜⩜(⋼∭⪍⫖↰⪸B4B)⫦⪉(⊑⫖↰⪸1194)↳≱(⫖↰⪸2032⫃⨇⫖↰⪸190B))⊮⊟↴(↓⇌(⫖↰⪸2A72⇂≾⫗⫖↰⪸748⫠↝⫳))","cot":[{"info":"⫖↰⪸767∌⫖↰⪸1044=⫖↰⪸-1044","layer":3},{"info":"⋼∭⪍⫖↰⪸B4B=⫖↰⪸-2968","layer":3},{"info":"⫖↰⪸-1044⋻⩜⩜⫖↰⪸-2968=NaN","layer":2},{"info":"⊑⫖↰⪸1194=⫖↰⪸140","layer":3},{"info":"⫖↰⪸2032⫃⨇⫖↰⪸190B=⫖↰⪸-7064","layer":3},{"info":"⫖↰⪸140↳≱⫖↰⪸-7064=⫖↰⪸0","layer":2},{"info":"NaN⫦⪉⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸2A72⇂≾⫗⫖↰⪸748=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸-484⫠↝⫳=⫖↰⪸-101A9","layer":2},{"info":"↓⇌⫖↰⪸-101A9=⫖↰⪸-20396","layer":1},{"info":"NaN⊮⊟↴⫖↰⪸-20396=⫖↰⪸9B8511","layer":0}]}
{"id":722,"expression_no_base_symbol":"(⊲⪭(($5296$↱$1291$)⨱∎))⪎↠($2358$⫉⨲⊜$1062$⪨⊡$4271$⊮⊟↴$6037$⪑⩈)","expression":"(⊲⪭((⫖↰⪸3094↱⫖↰⪸8B7)⨱∎))⪎↠(⫖↰⪸1446⫉⨲⊜⫖↰⪸746⪨⊡⫖↰⪸257B⊮⊟↴⫖↰⪸35B1⪑⩈)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":164,"operation_count":8,"complexity_ratio":20.5,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5296,"base":12},"right_expr":{"type":"numeric_atoms","value":1291,"base":12}}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2358,"base":12},"right_expr":{"type":"numeric_atoms","value":1062,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4271,"base":12},"right_expr":{"type":"numeric_atoms","value":6037,"base":12}}}}},"used_operators":["3tVxb0NHM4","k7HXdKtiEU","MmTdOpaElr","SR5kFfdi6N","C6VvDP6HwP","kuIXHzHcAH","WhqkvtTD3t","QDVgd2eftb"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","i8ToyICDmI","xUOZtlo3hN","tifHPKVTfV","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eewbuw0ToL","zVYPLywUTj","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⫖↰⪸49A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5296","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=5296, right_input=1291, 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=-3351","layer":3},{"info":"compute unary expreesion, input=-3351, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-174","layer":1},{"info":"number node, value=2358","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=1062, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=4271","layer":4},{"info":"number node, value=6037","layer":4},{"info":"compute binary expreesion, left_input=4271, right_input=6037, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"compute unary expreesion, input=789, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-747","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-747, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=694","layer":0}],"base":12,"result_base":12,"text":"(⊲⪭((⫖↰⪸3094↱⫖↰⪸8B7)⨱∎))⪎↠(⫖↰⪸1446⫉⨲⊜⫖↰⪸746⪨⊡⫖↰⪸257B⊮⊟↴⫖↰⪸35B1⪑⩈)=⫖↰⪸49A","reverse_text":"⫖↰⪸49A=(⊲⪭((⫖↰⪸3094↱⫖↰⪸8B7)⨱∎))⪎↠(⫖↰⪸1446⫉⨲⊜⫖↰⪸746⪨⊡⫖↰⪸257B⊮⊟↴⫖↰⪸35B1⪑⩈)","cot":[{"info":"⫖↰⪸3094↱⫖↰⪸8B7=⫖↰⪸-1B33","layer":3},{"info":"⫖↰⪸-1B33⨱∎=⫖↰⪸0","layer":2},{"info":"⊲⪭⫖↰⪸0=⫖↰⪸-126","layer":1},{"info":"⫖↰⪸1446⫉⨲⊜⫖↰⪸746=⫖↰⪸0","layer":3},{"info":"⫖↰⪸257B⊮⊟↴⫖↰⪸35B1=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⪨⊡⫖↰⪸0=⫖↰⪸559","layer":2},{"info":"⫖↰⪸559⪑⩈=⫖↰⪸-523","layer":1},{"info":"⫖↰⪸-126⪎↠⫖↰⪸-523=⫖↰⪸49A","layer":0}]}
{"id":723,"expression_no_base_symbol":"(⇘$3302$)⩖⊿($1679$⩌⋺$1275$)∘($3444$⪚$4293$⫳≱↱$7255$⨐⩸⫘$8918$)⨒(((≘$3387$)⋷$1287$⋣⋖$6786$)⫃⨇($2162$⩹$4559$)⪔$5893$↬$5599$)","expression":"(⇘⫖↰⪸1AB2)⩖⊿(⫖↰⪸B7B⩌⋺⫖↰⪸8A3)∘(⫖↰⪸1BB0⪚⫖↰⪸2599⫳≱↱⫖↰⪸4247⨐⩸⫘⫖↰⪸51B2)⨒(((≘⫖↰⪸1B63)⋷⫖↰⪸8B3⋣⋖⫖↰⪸3B16)⫃⨇(⫖↰⪸1302⩹⫖↰⪸277B)⪔⫖↰⪸34B1↬⫖↰⪸32A7)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":7103,"operation_count":15,"complexity_ratio":473.53333333333336,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3302,"base":12}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1679,"base":12},"right_expr":{"type":"numeric_atoms","value":1275,"base":12}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3444,"base":12},"right_expr":{"type":"numeric_atoms","value":4293,"base":12}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7255,"base":12},"right_expr":{"type":"numeric_atoms","value":8918,"base":12}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":3387,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1287,"base":12},"right_expr":{"type":"numeric_atoms","value":6786,"base":12}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2162,"base":12},"right_expr":{"type":"numeric_atoms","value":4559,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5893,"base":12},"right_expr":{"type":"numeric_atoms","value":5599,"base":12}}}}},"used_operators":["y75s1iXyHd","Z5m6OM72h2","RZ5CV9rWsJ","MGuIdZPyUC","g7Hmc5v1ko","ZvLB05nZmT","HrjLwUk87U","fu6greOZ01","09Ly4LVMIf","23Mk6UjR3U","tcjXMdvYtA","J0M6qkBnIM","GjBEYRfMaF","2Wsdkap16l","B5M0gjZbta"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eH2TOUuTDT","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","3ViojmjbAp","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3302","layer":4},{"info":"compute unary expreesion, input=3302, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=192502","layer":3},{"info":"number node, value=1679","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=1275, 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=-3075","layer":3},{"info":"compute binary expreesion, left_input=192502, right_input=-3075, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-794690","layer":2},{"info":"number node, value=3444","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=4293, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2054","layer":3},{"info":"number node, value=7255","layer":4},{"info":"number node, value=8918","layer":4},{"info":"compute binary expreesion, left_input=7255, right_input=8918, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2054, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute binary expreesion, left_input=-794690, right_input=-2802, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=795070","layer":1},{"info":"number node, value=3387","layer":4},{"info":"compute unary expreesion, input=3387, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=7469119","layer":3},{"info":"number node, value=1287","layer":4},{"info":"number node, value=6786","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=6786, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1287","layer":3},{"info":"compute binary expreesion, left_input=7469119, right_input=1287, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-7466545","layer":2},{"info":"number node, value=2162","layer":4},{"info":"number node, value=4559","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=4559, 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=4557","layer":3},{"info":"number node, value=5893","layer":4},{"info":"number node, value=5599","layer":4},{"info":"compute binary expreesion, left_input=5893, right_input=5599, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4557, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7466545, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=795070, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇘⫖↰⪸1AB2)⩖⊿(⫖↰⪸B7B⩌⋺⫖↰⪸8A3)∘(⫖↰⪸1BB0⪚⫖↰⪸2599⫳≱↱⫖↰⪸4247⨐⩸⫘⫖↰⪸51B2)⨒(((≘⫖↰⪸1B63)⋷⫖↰⪸8B3⋣⋖⫖↰⪸3B16)⫃⨇(⫖↰⪸1302⩹⫖↰⪸277B)⪔⫖↰⪸34B1↬⫖↰⪸32A7)=NaN","reverse_text":"NaN=(⇘⫖↰⪸1AB2)⩖⊿(⫖↰⪸B7B⩌⋺⫖↰⪸8A3)∘(⫖↰⪸1BB0⪚⫖↰⪸2599⫳≱↱⫖↰⪸4247⨐⩸⫘⫖↰⪸51B2)⨒(((≘⫖↰⪸1B63)⋷⫖↰⪸8B3⋣⋖⫖↰⪸3B16)⫃⨇(⫖↰⪸1302⩹⫖↰⪸277B)⪔⫖↰⪸34B1↬⫖↰⪸32A7)","cot":[{"info":"⇘⫖↰⪸1AB2=⫖↰⪸9349A","layer":3},{"info":"⫖↰⪸B7B⩌⋺⫖↰⪸8A3=⫖↰⪸-1943","layer":3},{"info":"⫖↰⪸9349A⩖⊿⫖↰⪸-1943=⫖↰⪸-323A82","layer":2},{"info":"⫖↰⪸1BB0⪚⫖↰⪸2599=⫖↰⪸-1232","layer":3},{"info":"⫖↰⪸4247⨐⩸⫘⫖↰⪸51B2=NaN","layer":3},{"info":"⫖↰⪸-1232⫳≱↱NaN=⫖↰⪸-1756","layer":2},{"info":"⫖↰⪸-323A82∘⫖↰⪸-1756=⫖↰⪸32413A","layer":1},{"info":"≘⫖↰⪸1B63=⫖↰⪸26024A7","layer":3},{"info":"⫖↰⪸8B3⋣⋖⫖↰⪸3B16=⫖↰⪸8B3","layer":3},{"info":"⫖↰⪸26024A7⋷⫖↰⪸8B3=⫖↰⪸-2600B01","layer":2},{"info":"⫖↰⪸1302⩹⫖↰⪸277B=⫖↰⪸2779","layer":3},{"info":"⫖↰⪸34B1↬⫖↰⪸32A7=NaN","layer":3},{"info":"⫖↰⪸2779⪔NaN=NaN","layer":2},{"info":"⫖↰⪸-2600B01⫃⨇NaN=NaN","layer":1},{"info":"⫖↰⪸32413A⨒NaN=NaN","layer":0}]}
{"id":724,"expression_no_base_symbol":"((⫎≠⋺$4390$)⋫)⪥(($1218$⋾⨃∁$5902$)⩍⋽⫝̸($6318$⋛$1269$))⪭≯(∤↝((⨰⫟⨤$2196$)⊬⫿⊭))","expression":"((⫎≠⋺⫖↰⪸265A)⋫)⪥((⫖↰⪸856⋾⨃∁⫖↰⪸34BA)⩍⋽⫝̸(⫖↰⪸37A6⋛⫖↰⪸899))⪭≯(∤↝((⨰⫟⨤⫖↰⪸1330)⊬⫿⊭))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14447,"operation_count":10,"complexity_ratio":1444.7,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4390,"base":12}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1218,"base":12},"right_expr":{"type":"numeric_atoms","value":5902,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":6318,"base":12},"right_expr":{"type":"numeric_atoms","value":1269,"base":12}}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2196,"base":12}}}}},"used_operators":["XAx5wpdLa6","QbnwKVWMIQ","JL8yIekQnl","LYeZOJ0nQG","BiWNJpBvwn","212REbPD9h","YbUVn0Rbpy","3UMq87Qwqg","v0DYgG9ikt","Tw270M8GLb"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","tmPS8pqC7x","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4390","layer":4},{"info":"compute unary expreesion, input=4390, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"number node, value=1218","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=5902, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=348265122","layer":3},{"info":"number node, value=6318","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=6318, right_input=1269, 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=-75330","layer":3},{"info":"compute binary expreesion, left_input=348265122, right_input=-75330, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=348339979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=348339979, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":1},{"info":"number node, value=2196","layer":4},{"info":"compute unary expreesion, input=2196, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4652, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫎≠⋺⫖↰⪸265A)⋫)⪥((⫖↰⪸856⋾⨃∁⫖↰⪸34BA)⩍⋽⫝̸(⫖↰⪸37A6⋛⫖↰⪸899))⪭≯(∤↝((⨰⫟⨤⫖↰⪸1330)⊬⫿⊭))=NaN","reverse_text":"NaN=((⫎≠⋺⫖↰⪸265A)⋫)⪥((⫖↰⪸856⋾⨃∁⫖↰⪸34BA)⩍⋽⫝̸(⫖↰⪸37A6⋛⫖↰⪸899))⪭≯(∤↝((⨰⫟⨤⫖↰⪸1330)⊬⫿⊭))","cot":[{"info":"⫎≠⋺⫖↰⪸265A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⋫=⫖↰⪸0","layer":2},{"info":"⫖↰⪸856⋾⨃∁⫖↰⪸34BA=⫖↰⪸98772396","layer":3},{"info":"⫖↰⪸37A6⋛⫖↰⪸899=⫖↰⪸-37716","layer":3},{"info":"⫖↰⪸98772396⩍⋽⫝̸⫖↰⪸-37716=⫖↰⪸987A9777","layer":2},{"info":"⫖↰⪸0⪥⫖↰⪸987A9777=⫖↰⪸2838","layer":1},{"info":"⨰⫟⨤⫖↰⪸1330=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"∤↝NaN=NaN","layer":1},{"info":"⫖↰⪸2838⪭≯NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"(⋠∜(⨆≐≲(⋗⩬⋾$2222$)))⊋≦⊧(($1081$⩒⫫$3695$)⫘($1045$↬$1334$)⩨(≱⇩⩕$4959$⋛$5956$))","expression":"(⋠∜(⨆≐≲(⋗⩬⋾⫖↰⪸1352)))⊋≦⊧((⫖↰⪸761⩒⫫⫖↰⪸217B)⫘(⫖↰⪸731↬⫖↰⪸932)⩨(≱⇩⩕⫖↰⪸2A53⋛⫖↰⪸3544))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1475,"operation_count":10,"complexity_ratio":147.5,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2222,"base":12}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1081,"base":12},"right_expr":{"type":"numeric_atoms","value":3695,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1045,"base":12},"right_expr":{"type":"numeric_atoms","value":1334,"base":12}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4959,"base":12},"right_expr":{"type":"numeric_atoms","value":5956,"base":12}}}}},"used_operators":["oRDoc9rAEX","ZJpFhNJr3x","Bi9z9uYZqW","DpFCA1CohY","2DlMacCsIx","48vC8HMD2b","KFSx94NKJn","B5M0gjZbta","3DZMoQKiUl","YbUVn0Rbpy"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rGHVDoGpnC","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⫖↰⪸140","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2222","layer":4},{"info":"compute unary expreesion, input=2222, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6666","layer":3},{"info":"compute unary expreesion, input=-6666, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"compute unary expreesion, input=-168548, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-671908","layer":1},{"info":"number node, value=1081","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=3695, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=779","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1334, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=779, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=920509","layer":2},{"info":"number node, value=4959","layer":4},{"info":"number node, value=5956","layer":4},{"info":"compute binary expreesion, left_input=4959, right_input=5956, 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=-87561","layer":3},{"info":"compute unary expreesion, input=-87561, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=613537","layer":2},{"info":"compute binary expreesion, left_input=920509, right_input=613537, 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=-671908, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":0}],"base":12,"result_base":12,"text":"(⋠∜(⨆≐≲(⋗⩬⋾⫖↰⪸1352)))⊋≦⊧((⫖↰⪸761⩒⫫⫖↰⪸217B)⫘(⫖↰⪸731↬⫖↰⪸932)⩨(≱⇩⩕⫖↰⪸2A53⋛⫖↰⪸3544))=⫖↰⪸140","reverse_text":"⫖↰⪸140=(⋠∜(⨆≐≲(⋗⩬⋾⫖↰⪸1352)))⊋≦⊧((⫖↰⪸761⩒⫫⫖↰⪸217B)⫘(⫖↰⪸731↬⫖↰⪸932)⩨(≱⇩⩕⫖↰⪸2A53⋛⫖↰⪸3544))","cot":[{"info":"⋗⩬⋾⫖↰⪸1352=⫖↰⪸-3A36","layer":3},{"info":"⨆≐≲⫖↰⪸-3A36=⫖↰⪸-81658","layer":2},{"info":"⋠∜⫖↰⪸-81658=⫖↰⪸-284A04","layer":1},{"info":"⫖↰⪸761⩒⫫⫖↰⪸217B=⫖↰⪸54B","layer":3},{"info":"⫖↰⪸731↬⫖↰⪸932=NaN","layer":3},{"info":"⫖↰⪸54B⫘NaN=⫖↰⪸384851","layer":2},{"info":"⫖↰⪸2A53⋛⫖↰⪸3544=⫖↰⪸-42809","layer":3},{"info":"≱⇩⩕⫖↰⪸-42809=⫖↰⪸257081","layer":2},{"info":"⫖↰⪸384851⩨⫖↰⪸257081=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-284A04⊋≦⊧⫖↰⪸0=⫖↰⪸140","layer":0}]}
{"id":726,"expression_no_base_symbol":"$1456$⇴∐$1104$⋥≓≎$2536$≀⫉$1549$∷(≤/($1056$⨵⪆$1340$))⪁(($1107$≬⇓$4580$)⩒⫫($1899$⊿∆))≨(∐⩳⋚($6719$⩧⪆$1523$))","expression":"⫖↰⪸A14⇴∐⫖↰⪸780⋥≓≎⫖↰⪸1574≀⫉⫖↰⪸A91∷(≤/(⫖↰⪸740⨵⪆⫖↰⪸938))⪁((⫖↰⪸783≬⇓⫖↰⪸2798)⩒⫫(⫖↰⪸1123⊿∆))≨(∐⩳⋚(⫖↰⪸3A7B⩧⪆⫖↰⪸A6B))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":59810839,"operation_count":13,"complexity_ratio":4600833.769230769,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1456,"base":12},"right_expr":{"type":"numeric_atoms","value":1104,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2536,"base":12},"right_expr":{"type":"numeric_atoms","value":1549,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1056,"base":12},"right_expr":{"type":"numeric_atoms","value":1340,"base":12}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1107,"base":12},"right_expr":{"type":"numeric_atoms","value":4580,"base":12}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1899,"base":12}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6719,"base":12},"right_expr":{"type":"numeric_atoms","value":1523,"base":12}}}}},"used_operators":["I7sXao9hZE","D3AQDKkPcf","Qy55tPpLXF","HnzytWxmAO","oZj3VtZNQx","eLAdDNolq6","2DQ55sFlQl","0KMCeP1Jsh","KFSx94NKJn","jWTQ2TZYIH","fv3ZujxkQL","SL6IHkK8vl","Ikt5ks8PT7"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1456","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=1104, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=2536","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=1549, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1340, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=324","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=324, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=324","layer":1},{"info":"number node, value=1107","layer":4},{"info":"number node, value=4580","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=4580, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3919","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-3919, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-862","layer":2},{"info":"number node, value=6719","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=6719, right_input=1523, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1523","layer":3},{"info":"compute unary expreesion, input=-1523, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-477608","layer":2},{"info":"compute binary expreesion, left_input=-862, right_input=-477608, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2380","layer":1},{"info":"compute binary expreesion, left_input=324, right_input=2380, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A14⇴∐⫖↰⪸780⋥≓≎⫖↰⪸1574≀⫉⫖↰⪸A91∷(≤/(⫖↰⪸740⨵⪆⫖↰⪸938))⪁((⫖↰⪸783≬⇓⫖↰⪸2798)⩒⫫(⫖↰⪸1123⊿∆))≨(∐⩳⋚(⫖↰⪸3A7B⩧⪆⫖↰⪸A6B))=NaN","reverse_text":"NaN=⫖↰⪸A14⇴∐⫖↰⪸780⋥≓≎⫖↰⪸1574≀⫉⫖↰⪸A91∷(≤/(⫖↰⪸740⨵⪆⫖↰⪸938))⪁((⫖↰⪸783≬⇓⫖↰⪸2798)⩒⫫(⫖↰⪸1123⊿∆))≨(∐⩳⋚(⫖↰⪸3A7B⩧⪆⫖↰⪸A6B))","cot":[{"info":"⫖↰⪸A14⇴∐⫖↰⪸780=NaN","layer":3},{"info":"⫖↰⪸1574≀⫉⫖↰⪸A91=⫖↰⪸1772","layer":3},{"info":"NaN⋥≓≎⫖↰⪸1772=⫖↰⪸57","layer":2},{"info":"⫖↰⪸740⨵⪆⫖↰⪸938=⫖↰⪸114","layer":3},{"info":"≤/⫖↰⪸114=⫖↰⪸230","layer":2},{"info":"⫖↰⪸57∷⫖↰⪸230=⫖↰⪸230","layer":1},{"info":"⫖↰⪸783≬⇓⫖↰⪸2798=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸1123⊿∆=⫖↰⪸-2327","layer":3},{"info":"⫖↰⪸-1A⩒⫫⫖↰⪸-2327=⫖↰⪸-5BA","layer":2},{"info":"⫖↰⪸3A7B⩧⪆⫖↰⪸A6B=⫖↰⪸-A6B","layer":3},{"info":"∐⩳⋚⫖↰⪸-A6B=⫖↰⪸-1B0488","layer":2},{"info":"⫖↰⪸-5BA≨⫖↰⪸-1B0488=⫖↰⪸1464","layer":1},{"info":"⫖↰⪸230⪁⫖↰⪸1464=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"(($1577$⊓⋫)≁↽≥($2120$∙∹∝$3937$)⊢)≄⊠(⨡↴($1169$∑⇟⊟$3978$)⊮⊟↴($2250$⇻⋧≁$8954$))","expression":"((⫖↰⪸AB5⊓⋫)≁↽≥(⫖↰⪸1288∙∹∝⫖↰⪸2341)⊢)≄⊠(⨡↴(⫖↰⪸815∑⇟⊟⫖↰⪸2376)⊮⊟↴(⫖↰⪸1376⇻⋧≁⫖↰⪸5222))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2442,"operation_count":9,"complexity_ratio":271.3333333333333,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1577,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2120,"base":12},"right_expr":{"type":"numeric_atoms","value":3937,"base":12}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1169,"base":12},"right_expr":{"type":"numeric_atoms","value":3978,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2250,"base":12},"right_expr":{"type":"numeric_atoms","value":8954,"base":12}}}}},"used_operators":["vXNesLlMH1","40aOVDgCDB","ncHt1X6cMc","IqGBaFP0uj","HmxsFra2vL","liw5iZPkLH","QDVgd2eftb","U7g4x0WXJJ","jCPkEVoL5K"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","oWn0xqSxBt","3Oe9XWJUTD","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","P8v4zCKN1o","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⫖↰⪸104B8","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1705","layer":3},{"info":"number node, value=2120","layer":4},{"info":"number node, value=3937","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=3937, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1705, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=0","layer":1},{"info":"number node, value=1169","layer":4},{"info":"number node, value=3978","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=3978, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2250","layer":4},{"info":"number node, value=8954","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=8954, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1049","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1049, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=21452","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸AB5⊓⋫)≁↽≥(⫖↰⪸1288∙∹∝⫖↰⪸2341)⊢)≄⊠(⨡↴(⫖↰⪸815∑⇟⊟⫖↰⪸2376)⊮⊟↴(⫖↰⪸1376⇻⋧≁⫖↰⪸5222))=⫖↰⪸104B8","reverse_text":"⫖↰⪸104B8=((⫖↰⪸AB5⊓⋫)≁↽≥(⫖↰⪸1288∙∹∝⫖↰⪸2341)⊢)≄⊠(⨡↴(⫖↰⪸815∑⇟⊟⫖↰⪸2376)⊮⊟↴(⫖↰⪸1376⇻⋧≁⫖↰⪸5222))","cot":[{"info":"⫖↰⪸AB5⊓⋫=⫖↰⪸-BA1","layer":3},{"info":"⫖↰⪸1288∙∹∝⫖↰⪸2341=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-BA1≁↽≥⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⊢=⫖↰⪸0","layer":1},{"info":"⫖↰⪸815∑⇟⊟⫖↰⪸2376=NaN","layer":3},{"info":"⫖↰⪸1376⇻⋧≁⫖↰⪸5222=⫖↰⪸-313","layer":3},{"info":"NaN⊮⊟↴⫖↰⪸-313=⫖↰⪸0","layer":2},{"info":"⨡↴⫖↰⪸0=⫖↰⪸735","layer":1},{"info":"⫖↰⪸0≄⊠⫖↰⪸735=⫖↰⪸104B8","layer":0}]}
{"id":728,"expression_no_base_symbol":"(⩷(⩦⊞$1343$)∺≝⩲($1797$⊉↱≁$1692$))↳≱(($3898$↞⋁$1546$⫚⫇)⨚⇆(≤/$5464$≦↸$1939$))","expression":"(⩷(⩦⊞⫖↰⪸93B)∺≝⩲(⫖↰⪸1059⊉↱≁⫖↰⪸B90))↳≱((⫖↰⪸230A↞⋁⫖↰⪸A8A⫚⫇)⨚⇆(≤/⫖↰⪸31B4≦↸⫖↰⪸1157))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":360,"operation_count":10,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1343,"base":12}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1797,"base":12},"right_expr":{"type":"numeric_atoms","value":1692,"base":12}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3898,"base":12},"right_expr":{"type":"numeric_atoms","value":1546,"base":12}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5464,"base":12},"right_expr":{"type":"numeric_atoms","value":1939,"base":12}}}}},"used_operators":["JwTKLfZU96","1h0rLqGiFr","KPf6cnQVty","u7fv1HBiaC","w2P8NbNXyL","lwHaAYXP2r","SdCjLnB6rR","RqrPlJkxDo","eLAdDNolq6","RygbFNSyEJ"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1070","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1692, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=7766","layer":3},{"info":"compute binary expreesion, left_input=-1070, right_input=7766, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-1999","layer":1},{"info":"number node, value=3898","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=3898, right_input=1546, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=nan","layer":2},{"info":"number node, value=5464","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=5464, right_input=1939, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14125","layer":3},{"info":"compute unary expreesion, input=-14125, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=14609","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14609, 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=-1999, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⩷(⩦⊞⫖↰⪸93B)∺≝⩲(⫖↰⪸1059⊉↱≁⫖↰⪸B90))↳≱((⫖↰⪸230A↞⋁⫖↰⪸A8A⫚⫇)⨚⇆(≤/⫖↰⪸31B4≦↸⫖↰⪸1157))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⩷(⩦⊞⫖↰⪸93B)∺≝⩲(⫖↰⪸1059⊉↱≁⫖↰⪸B90))↳≱((⫖↰⪸230A↞⋁⫖↰⪸A8A⫚⫇)⨚⇆(≤/⫖↰⪸31B4≦↸⫖↰⪸1157))","cot":[{"info":"⩦⊞⫖↰⪸93B=⫖↰⪸-752","layer":3},{"info":"⫖↰⪸1059⊉↱≁⫖↰⪸B90=⫖↰⪸45B2","layer":3},{"info":"⫖↰⪸-752∺≝⩲⫖↰⪸45B2=⫖↰⪸114","layer":2},{"info":"⩷⫖↰⪸114=⫖↰⪸-11A7","layer":1},{"info":"⫖↰⪸230A↞⋁⫖↰⪸A8A=NaN","layer":3},{"info":"NaN⫚⫇=NaN","layer":2},{"info":"⫖↰⪸31B4≦↸⫖↰⪸1157=⫖↰⪸-8211","layer":3},{"info":"≤/⫖↰⪸-8211=⫖↰⪸8555","layer":2},{"info":"NaN⨚⇆⫖↰⪸8555=NaN","layer":1},{"info":"⫖↰⪸-11A7↳≱NaN=⫖↰⪸0","layer":0}]}
{"id":729,"expression_no_base_symbol":"((($1440$⨕⋳)⫳≱↱(⩷⨜⫀$2950$))⋅⇍(⊢≑≆$1270$)∴$2330$≴⪞⇿$2639$)↓(($1335$↡⊰⫅$6703$)∁)⨐((≦∁$1226$)⩹$3019$↳∿⪆$3108$)","expression":"(((⫖↰⪸A00⨕⋳)⫳≱↱(⩷⨜⫀⫖↰⪸185A))⋅⇍(⊢≑≆⫖↰⪸89A)∴⫖↰⪸1422≴⪞⇿⫖↰⪸163B)↓((⫖↰⪸933↡⊰⫅⫖↰⪸3A67)∁)⨐((≦∁⫖↰⪸862)⩹⫖↰⪸18B7↳∿⪆⫖↰⪸1970)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":474477,"operation_count":14,"complexity_ratio":33891.21428571428,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1440,"base":12}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2950,"base":12}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1270,"base":12}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2330,"base":12},"right_expr":{"type":"numeric_atoms","value":2639,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1335,"base":12},"right_expr":{"type":"numeric_atoms","value":6703,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1226,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3019,"base":12},"right_expr":{"type":"numeric_atoms","value":3108,"base":12}}}}},"used_operators":["Af076pWI7l","AdZkA7nFnk","ZvLB05nZmT","4X4GscPmMf","CDi0ktkjQ4","hrf7POJlIJ","27wFxooxGf","lvlrscuwVU","Noe24qw2ks","jdwGQqwJi5","VCtxkLNOzz","2Wsdkap16l","9ICcGScMcE","Cw4SuJJGHO"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","ruOEQAzv1W","nhYeJWJD5X","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","2DDjHMKMc0","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=46348","layer":3},{"info":"number node, value=2950","layer":4},{"info":"compute unary expreesion, input=2950, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2677","layer":3},{"info":"compute binary expreesion, left_input=46348, right_input=-2677, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=5532","layer":3},{"info":"number node, value=2330","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=2639, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=8462732","layer":3},{"info":"compute binary expreesion, left_input=5532, right_input=8462732, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=12712","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=12712, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=1335","layer":4},{"info":"number node, value=6703","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=6703, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=13406","layer":3},{"info":"compute unary expreesion, input=13406, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=13406","layer":2},{"info":"number node, value=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1226","layer":3},{"info":"number node, value=3019","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=3108, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1226, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13406, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-26812","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-26812, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸A00⨕⋳)⫳≱↱(⩷⨜⫀⫖↰⪸185A))⋅⇍(⊢≑≆⫖↰⪸89A)∴⫖↰⪸1422≴⪞⇿⫖↰⪸163B)↓((⫖↰⪸933↡⊰⫅⫖↰⪸3A67)∁)⨐((≦∁⫖↰⪸862)⩹⫖↰⪸18B7↳∿⪆⫖↰⪸1970)=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=(((⫖↰⪸A00⨕⋳)⫳≱↱(⩷⨜⫀⫖↰⪸185A))⋅⇍(⊢≑≆⫖↰⪸89A)∴⫖↰⪸1422≴⪞⇿⫖↰⪸163B)↓((⫖↰⪸933↡⊰⫅⫖↰⪸3A67)∁)⨐((≦∁⫖↰⪸862)⩹⫖↰⪸18B7↳∿⪆⫖↰⪸1970)","cot":[{"info":"⫖↰⪸A00⨕⋳=⫖↰⪸229A4","layer":3},{"info":"⩷⨜⫀⫖↰⪸185A=⫖↰⪸-1671","layer":3},{"info":"⫖↰⪸229A4⫳≱↱⫖↰⪸-1671=⫖↰⪸-150","layer":2},{"info":"⊢≑≆⫖↰⪸89A=⫖↰⪸3250","layer":3},{"info":"⫖↰⪸1422≴⪞⇿⫖↰⪸163B=⫖↰⪸2A014B8","layer":3},{"info":"⫖↰⪸3250∴⫖↰⪸2A014B8=⫖↰⪸7434","layer":2},{"info":"⫖↰⪸-150⋅⇍⫖↰⪸7434=⫖↰⪸-1A","layer":1},{"info":"⫖↰⪸933↡⊰⫅⫖↰⪸3A67=⫖↰⪸7912","layer":3},{"info":"⫖↰⪸7912∁=⫖↰⪸7912","layer":2},{"info":"≦∁⫖↰⪸862=⫖↰⪸862","layer":3},{"info":"⫖↰⪸18B7↳∿⪆⫖↰⪸1970=NaN","layer":3},{"info":"⫖↰⪸862⩹NaN=NaN","layer":2},{"info":"⫖↰⪸7912⨐NaN=⫖↰⪸-13624","layer":1},{"info":"⫖↰⪸-1A↓⫖↰⪸-13624=⫖↰⪸-B2","layer":0}]}
{"id":730,"expression_no_base_symbol":"((($6788$↫)⇋≉)⪄(($4086$⊲⩕⊾$2073$)⇉⇱⇎))⋝⋈⪟($3193$⇂≾⫗$1099$⊫∞)∌(($1985$→⨶⪴$6759$)⩌⋺$1150$⫘$8074$)","expression":"(((⫖↰⪸3B18↫)⇋≉)⪄((⫖↰⪸2446⊲⩕⊾⫖↰⪸1249)⇉⇱⇎))⋝⋈⪟(⫖↰⪸1A21⇂≾⫗⫖↰⪸777⊫∞)∌((⫖↰⪸1195→⨶⪴⫖↰⪸3AB3)⩌⋺⫖↰⪸7BA⫘⫖↰⪸480A)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24738,"operation_count":12,"complexity_ratio":2061.5,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":6788,"base":12}}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4086,"base":12},"right_expr":{"type":"numeric_atoms","value":2073,"base":12}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3193,"base":12},"right_expr":{"type":"numeric_atoms","value":1099,"base":12}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1985,"base":12},"right_expr":{"type":"numeric_atoms","value":6759,"base":12}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1150,"base":12},"right_expr":{"type":"numeric_atoms","value":8074,"base":12}}}}},"used_operators":["2DDjHMKMc0","SUmda5xLS4","XIabStNQrY","uPb5QRN0te","MRPaB8lBjK","DmTXOeWf9t","8cLx32lpNA","pABnYW3G3E","aBQ6xLxuTc","g7Hmc5v1ko","bF6eod5Gvf","48vC8HMD2b"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⫖↰⪸-15309","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6788","layer":4},{"info":"compute unary expreesion, input=6788, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=222","layer":2},{"info":"number node, value=4086","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=4086, right_input=2073, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-82736","layer":3},{"info":"compute unary expreesion, input=-82736, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=218, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-29817","layer":1},{"info":"number node, value=3193","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1099, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=6759","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=6759, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-20277","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=8074","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=8074, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1356805","layer":3},{"info":"compute binary expreesion, left_input=-20277, right_input=1356805, 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=-1336649","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1336649, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=1336649","layer":1},{"info":"compute binary expreesion, left_input=-29817, right_input=1336649, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-29817","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸3B18↫)⇋≉)⪄((⫖↰⪸2446⊲⩕⊾⫖↰⪸1249)⇉⇱⇎))⋝⋈⪟(⫖↰⪸1A21⇂≾⫗⫖↰⪸777⊫∞)∌((⫖↰⪸1195→⨶⪴⫖↰⪸3AB3)⩌⋺⫖↰⪸7BA⫘⫖↰⪸480A)=⫖↰⪸-15309","reverse_text":"⫖↰⪸-15309=(((⫖↰⪸3B18↫)⇋≉)⪄((⫖↰⪸2446⊲⩕⊾⫖↰⪸1249)⇉⇱⇎))⋝⋈⪟(⫖↰⪸1A21⇂≾⫗⫖↰⪸777⊫∞)∌((⫖↰⪸1195→⨶⪴⫖↰⪸3AB3)⩌⋺⫖↰⪸7BA⫘⫖↰⪸480A)","cot":[{"info":"⫖↰⪸3B18↫=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⇋≉=⫖↰⪸166","layer":2},{"info":"⫖↰⪸2446⊲⩕⊾⫖↰⪸1249=⫖↰⪸-3BA68","layer":3},{"info":"⫖↰⪸-3BA68⇉⇱⇎=⫖↰⪸162","layer":2},{"info":"⫖↰⪸166⪄⫖↰⪸162=⫖↰⪸-15309","layer":1},{"info":"⫖↰⪸1A21⇂≾⫗⫖↰⪸777=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸-484⊫∞=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1195→⨶⪴⫖↰⪸3AB3=⫖↰⪸-B899","layer":3},{"info":"⫖↰⪸7BA⫘⫖↰⪸480A=⫖↰⪸555231","layer":3},{"info":"⫖↰⪸-B899⩌⋺⫖↰⪸555231=⫖↰⪸-545635","layer":2},{"info":"⫖↰⪸0∌⫖↰⪸-545635=⫖↰⪸545635","layer":1},{"info":"⫖↰⪸-15309⋝⋈⪟⫖↰⪸545635=⫖↰⪸-15309","layer":0}]}
{"id":731,"expression_no_base_symbol":"⪛⨧($4660$⫰⋱$7044$*(⊁⨺$6826$))⪝($2450$⪹)⨂≜($2062$⨑≵⋬$4044$)","expression":"⪛⨧(⫖↰⪸2844⫰⋱⫖↰⪸40B0*(⊁⨺⫖↰⪸3B4A))⪝(⫖↰⪸1502⪹)⨂≜(⫖↰⪸123A⨑≵⋬⫖↰⪸2410)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10058,"operation_count":8,"complexity_ratio":1257.25,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4660,"base":12},"right_expr":{"type":"numeric_atoms","value":7044,"base":12}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":6826,"base":12}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2450,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2062,"base":12},"right_expr":{"type":"numeric_atoms","value":4044,"base":12}}}}},"used_operators":["6NJAcO2OWT","wicAB68Tmb","9HNa5Wba9A","6o9Blt3TJ6","PxiHyQbrIp","k1SHOSEABc","B3sABdIn96","XnXgA4xnOs"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4660","layer":4},{"info":"number node, value=7044","layer":4},{"info":"compute binary expreesion, left_input=4660, right_input=7044, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4627","layer":3},{"info":"number node, value=6826","layer":4},{"info":"compute unary expreesion, input=6826, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-4627, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-740320","layer":2},{"info":"number node, value=2450","layer":4},{"info":"compute unary expreesion, input=2450, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=9392","layer":3},{"info":"number node, value=2062","layer":4},{"info":"number node, value=4044","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=4044, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-16619","layer":3},{"info":"compute binary expreesion, left_input=9392, right_input=-16619, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-740320, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪛⨧(⫖↰⪸2844⫰⋱⫖↰⪸40B0*(⊁⨺⫖↰⪸3B4A))⪝(⫖↰⪸1502⪹)⨂≜(⫖↰⪸123A⨑≵⋬⫖↰⪸2410)=NaN","reverse_text":"NaN=⪛⨧(⫖↰⪸2844⫰⋱⫖↰⪸40B0*(⊁⨺⫖↰⪸3B4A))⪝(⫖↰⪸1502⪹)⨂≜(⫖↰⪸123A⨑≵⋬⫖↰⪸2410)","cot":[{"info":"⫖↰⪸2844⫰⋱⫖↰⪸40B0=⫖↰⪸-2817","layer":3},{"info":"⊁⨺⫖↰⪸3B4A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-2817*⫖↰⪸114=⫖↰⪸-2B8514","layer":2},{"info":"⫖↰⪸1502⪹=⫖↰⪸5528","layer":3},{"info":"⫖↰⪸123A⨑≵⋬⫖↰⪸2410=⫖↰⪸-974B","layer":3},{"info":"⫖↰⪸5528⨂≜⫖↰⪸-974B=NaN","layer":2},{"info":"⫖↰⪸-2B8514⪝NaN=NaN","layer":1},{"info":"⪛⨧NaN=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"($8647$⩖⊿$1348$⨚⇆($2999$⩎⪣⊞)∑⇟⊟((⨈⫕$3912$)⪍↜⋙(⨴⫝$1194$)))⪣⫩","expression":"(⫖↰⪸5007⩖⊿⫖↰⪸944⨚⇆(⫖↰⪸189B⩎⪣⊞)∑⇟⊟((⨈⫕⫖↰⪸2320)⪍↜⋙(⨴⫝⫖↰⪸836)))⪣⫩","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":211487,"operation_count":8,"complexity_ratio":26435.875,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":8647,"base":12},"right_expr":{"type":"numeric_atoms","value":1348,"base":12}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":2999,"base":12}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3912,"base":12}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1194,"base":12}}}}},"used_operators":["iuk5sVOGFA","U7g4x0WXJJ","lwHaAYXP2r","RZ5CV9rWsJ","waWucp1uQ4","L05ObWFQCd","megm06wKyl","SVb2v531z1"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","mp7IySMOzn","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"⫖↰⪸641","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8647","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=8647, right_input=1348, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-23886","layer":3},{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=5998","layer":3},{"info":"compute binary expreesion, left_input=-23886, right_input=5998, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=3912","layer":4},{"info":"compute unary expreesion, input=3912, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=2828198, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-5657074","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5657074, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸5007⩖⊿⫖↰⪸944⨚⇆(⫖↰⪸189B⩎⪣⊞)∑⇟⊟((⨈⫕⫖↰⪸2320)⪍↜⋙(⨴⫝⫖↰⪸836)))⪣⫩=⫖↰⪸641","reverse_text":"⫖↰⪸641=(⫖↰⪸5007⩖⊿⫖↰⪸944⨚⇆(⫖↰⪸189B⩎⪣⊞)∑⇟⊟((⨈⫕⫖↰⪸2320)⪍↜⋙(⨴⫝⫖↰⪸836)))⪣⫩","cot":[{"info":"⫖↰⪸5007⩖⊿⫖↰⪸944=⫖↰⪸-119A6","layer":3},{"info":"⫖↰⪸189B⩎⪣⊞=⫖↰⪸357A","layer":3},{"info":"⫖↰⪸-119A6⨚⇆⫖↰⪸357A=NaN","layer":2},{"info":"⨈⫕⫖↰⪸2320=⫖↰⪸-19","layer":3},{"info":"⨴⫝⫖↰⪸836=⫖↰⪸B44832","layer":3},{"info":"⫖↰⪸-19⪍↜⋙⫖↰⪸B44832=⫖↰⪸-1A8992A","layer":2},{"info":"NaN∑⇟⊟⫖↰⪸-1A8992A=NaN","layer":1},{"info":"NaN⪣⫩=⫖↰⪸641","layer":0}]}
{"id":733,"expression_no_base_symbol":"(⊥(⇖$1938$))⨫⇇↔($5823$∌↝$1622$≥⨤⩑$1187$⪝$1482$)⫲","expression":"(⊥(⇖⫖↰⪸1156))⨫⇇↔(⫖↰⪸3453∌↝⫖↰⪸B32≥⨤⩑⫖↰⪸82B⪝⫖↰⪸A36)⫲","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27027,"operation_count":7,"complexity_ratio":3861.0,"tree":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1938,"base":12}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5823,"base":12},"right_expr":{"type":"numeric_atoms","value":1622,"base":12}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1187,"base":12},"right_expr":{"type":"numeric_atoms","value":1482,"base":12}}}}},"used_operators":["9xnGDUPbC6","LXhwmt4mBO","Q3PJZHRvZv","tfWHHpNKUN","gJLn6v0xnP","9Isq31Ruls","wicAB68Tmb"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","fu6greOZ01","2DQ55sFlQl","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⫖↰⪸659","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"compute unary expreesion, input=1938, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-163","layer":2},{"info":"number node, value=5823","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=5823, right_input=1622, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=1482, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=237, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-163, right_input=1234, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=933","layer":0}],"base":12,"result_base":12,"text":"(⊥(⇖⫖↰⪸1156))⨫⇇↔(⫖↰⪸3453∌↝⫖↰⪸B32≥⨤⩑⫖↰⪸82B⪝⫖↰⪸A36)⫲=⫖↰⪸659","reverse_text":"⫖↰⪸659=(⊥(⇖⫖↰⪸1156))⨫⇇↔(⫖↰⪸3453∌↝⫖↰⪸B32≥⨤⩑⫖↰⪸82B⪝⫖↰⪸A36)⫲","cot":[{"info":"⇖⫖↰⪸1156=⫖↰⪸114","layer":3},{"info":"⊥⫖↰⪸114=⫖↰⪸-117","layer":2},{"info":"⫖↰⪸3453∌↝⫖↰⪸B32=⫖↰⪸0","layer":3},{"info":"⫖↰⪸82B⪝⫖↰⪸A36=⫖↰⪸179","layer":3},{"info":"⫖↰⪸0≥⨤⩑⫖↰⪸179=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸-117⨫⇇↔⫖↰⪸86A=⫖↰⪸-37B","layer":1},{"info":"⫖↰⪸-37B⫲=⫖↰⪸659","layer":0}]}
{"id":734,"expression_no_base_symbol":"(((⪲⇎$6052$)∠⫱$1254$⩍⋽⫝̸$1290$)⩧⪆(($1438$+⇶⊼$3070$)≳⇉($1286$∽$1936$)))⫗⊷⫓((($2223$∖$1641$)⪕(≀↧⇸$6251$))⪪(∑⇻≧$1534$⇂≾⫗$3155$))","expression":"(((⪲⇎⫖↰⪸3604)∠⫱⫖↰⪸886⩍⋽⫝̸⫖↰⪸8B6)⩧⪆((⫖↰⪸9BA+⇶⊼⫖↰⪸193A)≳⇉(⫖↰⪸8B2∽⫖↰⪸1154)))⫗⊷⫓(((⫖↰⪸1353∖⫖↰⪸B49)⪕(≀↧⇸⫖↰⪸374B))⪪(∑⇻≧⫖↰⪸A7A⇂≾⫗⫖↰⪸19AB))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":100605,"operation_count":14,"complexity_ratio":7186.071428571428,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6052,"base":12}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1254,"base":12},"right_expr":{"type":"numeric_atoms","value":1290,"base":12}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1438,"base":12},"right_expr":{"type":"numeric_atoms","value":3070,"base":12}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1286,"base":12},"right_expr":{"type":"numeric_atoms","value":1936,"base":12}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2223,"base":12},"right_expr":{"type":"numeric_atoms","value":1641,"base":12}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":6251,"base":12}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1534,"base":12},"right_expr":{"type":"numeric_atoms","value":3155,"base":12}}}}},"used_operators":["zashukvMKz","Ikt5ks8PT7","QvoQhV0rrE","XPYlsWDdGa","BiWNJpBvwn","V0kx6qeWkN","TpPTUOHfaN","y4ImoPnbV5","xD69zh8xqp","umQnsF7QlU","tXD093vOjl","ljTHtUsqzn","l1M9WJ3V7u","aBQ6xLxuTc"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","XPYlsWDdGa","23Mk6UjR3U","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6052","layer":4},{"info":"compute unary expreesion, input=6052, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12104","layer":3},{"info":"number node, value=1254","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=1290, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=344","layer":3},{"info":"compute binary expreesion, left_input=12104, right_input=344, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=11760","layer":2},{"info":"number node, value=1438","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=3070, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1286","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=1936, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-12060","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12060, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11760, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=2223","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=1641, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=6251","layer":4},{"info":"compute unary expreesion, input=6251, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=12502","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12502, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=1534","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=3155, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=502","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=502, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6206, 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":12,"result_base":12,"text":"(((⪲⇎⫖↰⪸3604)∠⫱⫖↰⪸886⩍⋽⫝̸⫖↰⪸8B6)⩧⪆((⫖↰⪸9BA+⇶⊼⫖↰⪸193A)≳⇉(⫖↰⪸8B2∽⫖↰⪸1154)))⫗⊷⫓(((⫖↰⪸1353∖⫖↰⪸B49)⪕(≀↧⇸⫖↰⪸374B))⪪(∑⇻≧⫖↰⪸A7A⇂≾⫗⫖↰⪸19AB))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=(((⪲⇎⫖↰⪸3604)∠⫱⫖↰⪸886⩍⋽⫝̸⫖↰⪸8B6)⩧⪆((⫖↰⪸9BA+⇶⊼⫖↰⪸193A)≳⇉(⫖↰⪸8B2∽⫖↰⪸1154)))⫗⊷⫓(((⫖↰⪸1353∖⫖↰⪸B49)⪕(≀↧⇸⫖↰⪸374B))⪪(∑⇻≧⫖↰⪸A7A⇂≾⫗⫖↰⪸19AB))","cot":[{"info":"⪲⇎⫖↰⪸3604=⫖↰⪸7008","layer":3},{"info":"⫖↰⪸886⩍⋽⫝̸⫖↰⪸8B6=⫖↰⪸248","layer":3},{"info":"⫖↰⪸7008∠⫱⫖↰⪸248=⫖↰⪸6980","layer":2},{"info":"⫖↰⪸9BA+⇶⊼⫖↰⪸193A=NaN","layer":3},{"info":"⫖↰⪸8B2∽⫖↰⪸1154=⫖↰⪸-6B90","layer":3},{"info":"NaN≳⇉⫖↰⪸-6B90=NaN","layer":2},{"info":"⫖↰⪸6980⩧⪆NaN=NaN","layer":1},{"info":"⫖↰⪸1353∖⫖↰⪸B49=⫖↰⪸0","layer":3},{"info":"≀↧⇸⫖↰⪸374B=⫖↰⪸729A","layer":3},{"info":"⫖↰⪸0⪕⫖↰⪸729A=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸A7A⇂≾⫗⫖↰⪸19AB=⫖↰⪸-484","layer":3},{"info":"∑⇻≧⫖↰⪸-484=⫖↰⪸35A","layer":2},{"info":"⫖↰⪸-47⪪⫖↰⪸35A=⫖↰⪸-3712","layer":1},{"info":"NaN⫗⊷⫓⫖↰⪸-3712=⫖↰⪸-B2","layer":0}]}
{"id":735,"expression_no_base_symbol":"⊙↵-(($3407$⫰⋱$1489$↪⪝)⫲≸⪮(⊀$1476$∣$2939$))","expression":"⊙↵-((⫖↰⪸1B7B⫰⋱⫖↰⪸A41↪⪝)⫲≸⪮(⊀⫖↰⪸A30∣⫖↰⪸184B))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":754,"operation_count":6,"complexity_ratio":125.66666666666667,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3407,"base":12},"right_expr":{"type":"numeric_atoms","value":1489,"base":12}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1476,"base":12},"right_expr":{"type":"numeric_atoms","value":2939,"base":12}}}}},"used_operators":["oWn0xqSxBt","P3lXMJvFrc","l07mrZUIn9","6o9Blt3TJ6","oPMjh9089D","PPChnnnBFF"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3407","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=1489, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3374","layer":3},{"info":"compute unary expreesion, input=-3374, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-206428068","layer":2},{"info":"number node, value=1476","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=2939, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1476","layer":3},{"info":"compute unary expreesion, input=1476, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5642","layer":2},{"info":"compute binary expreesion, left_input=-206428068, right_input=5642, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊙↵-((⫖↰⪸1B7B⫰⋱⫖↰⪸A41↪⪝)⫲≸⪮(⊀⫖↰⪸A30∣⫖↰⪸184B))=NaN","reverse_text":"NaN=⊙↵-((⫖↰⪸1B7B⫰⋱⫖↰⪸A41↪⪝)⫲≸⪮(⊀⫖↰⪸A30∣⫖↰⪸184B))","cot":[{"info":"⫖↰⪸1B7B⫰⋱⫖↰⪸A41=⫖↰⪸-1B52","layer":3},{"info":"⫖↰⪸-1B52↪⪝=⫖↰⪸-59170830","layer":2},{"info":"⫖↰⪸A30∣⫖↰⪸184B=⫖↰⪸A30","layer":3},{"info":"⊀⫖↰⪸A30=⫖↰⪸3322","layer":2},{"info":"⫖↰⪸-59170830⫲≸⪮⫖↰⪸3322=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"(⊲⪭($6231$⪥$1903$⊔$2295$∺≝⩲$1703$))⪘⨀","expression":"(⊲⪭(⫖↰⪸3733⪥⫖↰⪸1127⊔⫖↰⪸13B3∺≝⩲⫖↰⪸B9B))⪘⨀","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":74,"operation_count":5,"complexity_ratio":14.8,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6231,"base":12},"right_expr":{"type":"numeric_atoms","value":1903,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2295,"base":12},"right_expr":{"type":"numeric_atoms","value":1703,"base":12}}}}},"used_operators":["aA7tF3KVD3","k7HXdKtiEU","E4l6HwMY31","QbnwKVWMIQ","KPf6cnQVty"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫖↰⪸56B18","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6231","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=6231, right_input=1903, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29576","layer":3},{"info":"number node, value=2295","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=1703, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=29576, right_input=160, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=57552","layer":2},{"info":"compute unary expreesion, input=57552, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-57726","layer":1},{"info":"compute unary expreesion, input=-57726, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=115652","layer":0}],"base":12,"result_base":12,"text":"(⊲⪭(⫖↰⪸3733⪥⫖↰⪸1127⊔⫖↰⪸13B3∺≝⩲⫖↰⪸B9B))⪘⨀=⫖↰⪸56B18","reverse_text":"⫖↰⪸56B18=(⊲⪭(⫖↰⪸3733⪥⫖↰⪸1127⊔⫖↰⪸13B3∺≝⩲⫖↰⪸B9B))⪘⨀","cot":[{"info":"⫖↰⪸3733⪥⫖↰⪸1127=⫖↰⪸15148","layer":3},{"info":"⫖↰⪸13B3∺≝⩲⫖↰⪸B9B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸15148⊔⫖↰⪸114=⫖↰⪸29380","layer":2},{"info":"⊲⪭⫖↰⪸29380=⫖↰⪸-294A6","layer":1},{"info":"⫖↰⪸-294A6⪘⨀=⫖↰⪸56B18","layer":0}]}
{"id":737,"expression_no_base_symbol":"(($2350$⊴$2913$⫚↹⊑$3235$⋭≵$2406$)⩺⪪($6187$⋅⇍$2991$)⇴$5363$∓⋝$4585$)⩷∴(↸⊣($2855$≳⇉$2539$≳⇉($1266$⫸⊐$3420$)))","expression":"((⫖↰⪸143A⊴⫖↰⪸1829⫚↹⊑⫖↰⪸1A57⋭≵⫖↰⪸1486)⩺⪪(⫖↰⪸36B7⋅⇍⫖↰⪸1893)⇴⫖↰⪸312B∓⋝⫖↰⪸27A1)⩷∴(↸⊣(⫖↰⪸179B≳⇉⫖↰⪸1577≳⇉(⫖↰⪸896⫸⊐⫖↰⪸1B90)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":98184808,"operation_count":12,"complexity_ratio":8182067.333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2350,"base":12},"right_expr":{"type":"numeric_atoms","value":2913,"base":12}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3235,"base":12},"right_expr":{"type":"numeric_atoms","value":2406,"base":12}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6187,"base":12},"right_expr":{"type":"numeric_atoms","value":2991,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5363,"base":12},"right_expr":{"type":"numeric_atoms","value":4585,"base":12}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2855,"base":12},"right_expr":{"type":"numeric_atoms","value":2539,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1266,"base":12},"right_expr":{"type":"numeric_atoms","value":3420,"base":12}}}}},"used_operators":["9FxExcQeMw","uvdQJvN4PV","dfKe02y8D2","Nsiff2A1zJ","jBncVCNhdl","4JB6nKBMSY","AdZkA7nFnk","PoHhknlbAi","wztAlM01eG","V0kx6qeWkN","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","dWAJyo7jo9","14qkJME0vr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2350","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=2913, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3235","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=3235, right_input=2406, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=6187","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=6187, right_input=2991, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=5363","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=5363, right_input=4585, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=67, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-384","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-384, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-12298","layer":1},{"info":"number node, value=2855","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=2539, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=3420","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=3420, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13555","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13555, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12298, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸143A⊴⫖↰⪸1829⫚↹⊑⫖↰⪸1A57⋭≵⫖↰⪸1486)⩺⪪(⫖↰⪸36B7⋅⇍⫖↰⪸1893)⇴⫖↰⪸312B∓⋝⫖↰⪸27A1)⩷∴(↸⊣(⫖↰⪸179B≳⇉⫖↰⪸1577≳⇉(⫖↰⪸896⫸⊐⫖↰⪸1B90)))=NaN","reverse_text":"NaN=((⫖↰⪸143A⊴⫖↰⪸1829⫚↹⊑⫖↰⪸1A57⋭≵⫖↰⪸1486)⩺⪪(⫖↰⪸36B7⋅⇍⫖↰⪸1893)⇴⫖↰⪸312B∓⋝⫖↰⪸27A1)⩷∴(↸⊣(⫖↰⪸179B≳⇉⫖↰⪸1577≳⇉(⫖↰⪸896⫸⊐⫖↰⪸1B90)))","cot":[{"info":"⫖↰⪸143A⊴⫖↰⪸1829=NaN","layer":3},{"info":"⫖↰⪸1A57⋭≵⫖↰⪸1486=⫖↰⪸57","layer":3},{"info":"NaN⫚↹⊑⫖↰⪸57=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸36B7⋅⇍⫖↰⪸1893=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸312B∓⋝⫖↰⪸27A1=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-1A⇴⫖↰⪸57=⫖↰⪸-280","layer":2},{"info":"⫖↰⪸-313⩺⪪⫖↰⪸-280=⫖↰⪸-714A","layer":1},{"info":"⫖↰⪸179B≳⇉⫖↰⪸1577=NaN","layer":3},{"info":"⫖↰⪸896⫸⊐⫖↰⪸1B90=⫖↰⪸7A17","layer":3},{"info":"NaN≳⇉⫖↰⪸7A17=NaN","layer":2},{"info":"↸⊣NaN=NaN","layer":1},{"info":"⫖↰⪸-714A⩷∴NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"(($2413$⫃⨇$2269$)⪥($8942$⋾⨃∁$4597$)∑⇟⊟(⇠($1334$⋓$6244$)))⩣⫁∢((⪁⇼($1080$⇀∌))⊵↤)","expression":"((⫖↰⪸1491⫃⨇⫖↰⪸1391)⪥(⫖↰⪸5212⋾⨃∁⫖↰⪸27B1)∑⇟⊟(⇠(⫖↰⪸932⋓⫖↰⪸3744)))⩣⫁∢((⪁⇼(⫖↰⪸760⇀∌))⊵↤)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":83413,"operation_count":10,"complexity_ratio":8341.3,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2413,"base":12},"right_expr":{"type":"numeric_atoms","value":2269,"base":12}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":8942,"base":12},"right_expr":{"type":"numeric_atoms","value":4597,"base":12}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1334,"base":12},"right_expr":{"type":"numeric_atoms","value":6244,"base":12}}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":1080,"base":12}}}}},"used_operators":["JDUIKTTSIa","U7g4x0WXJJ","QbnwKVWMIQ","09Ly4LVMIf","212REbPD9h","18saOjeKKm","T2fj7uvVaJ","7IPrd9c3lf","ZNVVrZ94lY","2k53nXOpI5"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=2269, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9108","layer":3},{"info":"number node, value=8942","layer":4},{"info":"number node, value=4597","layer":4},{"info":"compute binary expreesion, left_input=8942, right_input=4597, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=211268832","layer":3},{"info":"compute binary expreesion, left_input=-9108, right_input=211268832, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-66020","layer":2},{"info":"number node, value=1334","layer":4},{"info":"number node, value=6244","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=6244, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=242","layer":2},{"info":"compute binary expreesion, left_input=-66020, right_input=242, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute unary expreesion, input=422, 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":"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":12,"result_base":12,"text":"((⫖↰⪸1491⫃⨇⫖↰⪸1391)⪥(⫖↰⪸5212⋾⨃∁⫖↰⪸27B1)∑⇟⊟(⇠(⫖↰⪸932⋓⫖↰⪸3744)))⩣⫁∢((⪁⇼(⫖↰⪸760⇀∌))⊵↤)=NaN","reverse_text":"NaN=((⫖↰⪸1491⫃⨇⫖↰⪸1391)⪥(⫖↰⪸5212⋾⨃∁⫖↰⪸27B1)∑⇟⊟(⇠(⫖↰⪸932⋓⫖↰⪸3744)))⩣⫁∢((⪁⇼(⫖↰⪸760⇀∌))⊵↤)","cot":[{"info":"⫖↰⪸1491⫃⨇⫖↰⪸1391=⫖↰⪸-5330","layer":3},{"info":"⫖↰⪸5212⋾⨃∁⫖↰⪸27B1=⫖↰⪸5A906080","layer":3},{"info":"⫖↰⪸-5330⪥⫖↰⪸5A906080=⫖↰⪸-32258","layer":2},{"info":"⫖↰⪸932⋓⫖↰⪸3744=⫖↰⪸0","layer":3},{"info":"⇠⫖↰⪸0=⫖↰⪸182","layer":2},{"info":"⫖↰⪸-32258∑⇟⊟⫖↰⪸182=NaN","layer":1},{"info":"⫖↰⪸760⇀∌=⫖↰⪸95","layer":3},{"info":"⪁⇼⫖↰⪸95=⫖↰⪸2B2","layer":2},{"info":"⫖↰⪸2B2⊵↤=⫖↰⪸57","layer":1},{"info":"NaN⩣⫁∢⫖↰⪸57=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"((⫓⪴$4011$≨$2007$)⨔≚≋($3256$⊬⫿⊭)∇⊂⋱($2340$⪛$5927$))⪒⊣⊆((($1099$⇼⇔∾$2874$)⇴∐(⨞⊢$4914$))⊱⇼⊻($1276$≀⩗∶$1185$)⋕⪉⪜($1170$⩵∡$3629$))","expression":"((⫓⪴⫖↰⪸23A3≨⫖↰⪸11B3)⨔≚≋(⫖↰⪸1A74⊬⫿⊭)∇⊂⋱(⫖↰⪸1430⪛⫖↰⪸351B))⪒⊣⊆(((⫖↰⪸777⇼⇔∾⫖↰⪸17B6)⇴∐(⨞⊢⫖↰⪸2A16))⊱⇼⊻(⫖↰⪸8A4≀⩗∶⫖↰⪸829)⋕⪉⪜(⫖↰⪸816⩵∡⫖↰⪸2125))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":37854,"operation_count":14,"complexity_ratio":2703.8571428571427,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4011,"base":12},"right_expr":{"type":"numeric_atoms","value":2007,"base":12}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":3256,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2340,"base":12},"right_expr":{"type":"numeric_atoms","value":5927,"base":12}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1099,"base":12},"right_expr":{"type":"numeric_atoms","value":2874,"base":12}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4914,"base":12}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1276,"base":12},"right_expr":{"type":"numeric_atoms","value":1185,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1170,"base":12},"right_expr":{"type":"numeric_atoms","value":3629,"base":12}}}}},"used_operators":["eRqsBgTDFp","Z57zeUYC9z","eLxqMNBOBk","0KMCeP1Jsh","nhYeJWJD5X","v0DYgG9ikt","uFcxV4UQCh","FyVja0WsTP","HnzytWxmAO","tifHPKVTfV","xUOZtlo3hN","z6LnFrNh4i","8INZBEW696","Y7wcNGrDQJ"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⫖↰⪸B514","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4011","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=2007, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-37634","layer":3},{"info":"compute unary expreesion, input=-37634, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1416317956","layer":2},{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-9768","layer":3},{"info":"number node, value=2340","layer":4},{"info":"number node, value=5927","layer":4},{"info":"compute binary expreesion, left_input=2340, right_input=5927, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2340","layer":3},{"info":"compute binary expreesion, left_input=-9768, right_input=2340, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-4680","layer":2},{"info":"compute binary expreesion, left_input=1416317956, right_input=-4680, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=1099","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=2874, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1775","layer":3},{"info":"number node, value=4914","layer":4},{"info":"compute unary expreesion, input=4914, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5088","layer":3},{"info":"compute binary expreesion, left_input=1775, right_input=-5088, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=1276","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=1185, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1170","layer":4},{"info":"number node, value=3629","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=3629, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1168","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1168, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=19744","layer":0}],"base":12,"result_base":12,"text":"((⫓⪴⫖↰⪸23A3≨⫖↰⪸11B3)⨔≚≋(⫖↰⪸1A74⊬⫿⊭)∇⊂⋱(⫖↰⪸1430⪛⫖↰⪸351B))⪒⊣⊆(((⫖↰⪸777⇼⇔∾⫖↰⪸17B6)⇴∐(⨞⊢⫖↰⪸2A16))⊱⇼⊻(⫖↰⪸8A4≀⩗∶⫖↰⪸829)⋕⪉⪜(⫖↰⪸816⩵∡⫖↰⪸2125))=⫖↰⪸B514","reverse_text":"⫖↰⪸B514=((⫓⪴⫖↰⪸23A3≨⫖↰⪸11B3)⨔≚≋(⫖↰⪸1A74⊬⫿⊭)∇⊂⋱(⫖↰⪸1430⪛⫖↰⪸351B))⪒⊣⊆(((⫖↰⪸777⇼⇔∾⫖↰⪸17B6)⇴∐(⨞⊢⫖↰⪸2A16))⊱⇼⊻(⫖↰⪸8A4≀⩗∶⫖↰⪸829)⋕⪉⪜(⫖↰⪸816⩵∡⫖↰⪸2125))","cot":[{"info":"⫖↰⪸23A3≨⫖↰⪸11B3=⫖↰⪸-19942","layer":3},{"info":"⫓⪴⫖↰⪸-19942=⫖↰⪸3363A4544","layer":2},{"info":"⫖↰⪸1A74⊬⫿⊭=⫖↰⪸-57A0","layer":3},{"info":"⫖↰⪸1430⪛⫖↰⪸351B=⫖↰⪸1430","layer":3},{"info":"⫖↰⪸-57A0∇⊂⋱⫖↰⪸1430=⫖↰⪸-2860","layer":2},{"info":"⫖↰⪸3363A4544⨔≚≋⫖↰⪸-2860=⫖↰⪸5868","layer":1},{"info":"⫖↰⪸777⇼⇔∾⫖↰⪸17B6=⫖↰⪸103B","layer":3},{"info":"⨞⊢⫖↰⪸2A16=⫖↰⪸-2B40","layer":3},{"info":"⫖↰⪸103B⇴∐⫖↰⪸-2B40=NaN","layer":2},{"info":"⫖↰⪸8A4≀⩗∶⫖↰⪸829=⫖↰⪸0","layer":3},{"info":"⫖↰⪸816⩵∡⫖↰⪸2125=⫖↰⪸814","layer":3},{"info":"⫖↰⪸0⋕⪉⪜⫖↰⪸814=⫖↰⪸150","layer":2},{"info":"NaN⊱⇼⊻⫖↰⪸150=NaN","layer":1},{"info":"⫖↰⪸5868⪒⊣⊆NaN=⫖↰⪸B514","layer":0}]}
{"id":740,"expression_no_base_symbol":"(⇠(⇉-⫰($1031$∀⇚≩$5739$)))+⪬∐(($5204$≠≀$5207$)⋕⪉⪜($2863$⨚$6267$)⫢⨠($8692$*$1828$)↳∿⪆(⪓⩚$2993$))","expression":"(⇠(⇉-⫰(⫖↰⪸71B∀⇚≩⫖↰⪸33A3)))+⪬∐((⫖↰⪸3018≠≀⫖↰⪸301B)⋕⪉⪜(⫖↰⪸17A7⨚⫖↰⪸3763)⫢⨠(⫖↰⪸5044*⫖↰⪸1084)↳∿⪆(⪓⩚⫖↰⪸1895))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14920,"operation_count":11,"complexity_ratio":1356.3636363636363,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1031,"base":12},"right_expr":{"type":"numeric_atoms","value":5739,"base":12}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5204,"base":12},"right_expr":{"type":"numeric_atoms","value":5207,"base":12}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2863,"base":12},"right_expr":{"type":"numeric_atoms","value":6267,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8692,"base":12},"right_expr":{"type":"numeric_atoms","value":1828,"base":12}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2993,"base":12}}}}},"used_operators":["2GS7woTJqF","18saOjeKKm","IGFM8TAlm9","LRNGc0VcxI","xlXykHWxX1","z6LnFrNh4i","IwW236VD4Y","nREPSIbpBE","Cw4SuJJGHO","9HNa5Wba9A","u0R0Locfp2"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eH2TOUuTDT","eewbuw0ToL","X99M06cbEe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","BjRHVeLaeN","12rbrZMWeM","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=5739","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=5739, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"number node, value=5204","layer":4},{"info":"number node, value=5207","layer":4},{"info":"compute binary expreesion, left_input=5204, right_input=5207, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-10102","layer":3},{"info":"number node, value=2863","layer":4},{"info":"number node, value=6267","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=6267, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18408","layer":3},{"info":"compute binary expreesion, left_input=-10102, right_input=-18408, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=8692","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=8692, right_input=1828, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15888976","layer":3},{"info":"number node, value=2993","layer":4},{"info":"compute unary expreesion, input=2993, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=15888976, right_input=426, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇠(⇉-⫰(⫖↰⪸71B∀⇚≩⫖↰⪸33A3)))+⪬∐((⫖↰⪸3018≠≀⫖↰⪸301B)⋕⪉⪜(⫖↰⪸17A7⨚⫖↰⪸3763)⫢⨠(⫖↰⪸5044*⫖↰⪸1084)↳∿⪆(⪓⩚⫖↰⪸1895))=NaN","reverse_text":"NaN=(⇠(⇉-⫰(⫖↰⪸71B∀⇚≩⫖↰⪸33A3)))+⪬∐((⫖↰⪸3018≠≀⫖↰⪸301B)⋕⪉⪜(⫖↰⪸17A7⨚⫖↰⪸3763)⫢⨠(⫖↰⪸5044*⫖↰⪸1084)↳∿⪆(⪓⩚⫖↰⪸1895))","cot":[{"info":"⫖↰⪸71B∀⇚≩⫖↰⪸33A3=NaN","layer":3},{"info":"⇉-⫰NaN=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⫖↰⪸3018≠≀⫖↰⪸301B=⫖↰⪸-5A1A","layer":3},{"info":"⫖↰⪸17A7⨚⫖↰⪸3763=⫖↰⪸-A7A0","layer":3},{"info":"⫖↰⪸-5A1A⋕⪉⪜⫖↰⪸-A7A0=⫖↰⪸1756","layer":2},{"info":"⫖↰⪸5044*⫖↰⪸1084=⫖↰⪸53A3014","layer":3},{"info":"⪓⩚⫖↰⪸1895=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸53A3014↳∿⪆⫖↰⪸2B6=NaN","layer":2},{"info":"⫖↰⪸1756⫢⨠NaN=NaN","layer":1},{"info":"NaN+⪬∐NaN=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"($1860$⪝$1839$↸$1703$⇌⫙⪟$4928$⪒$1341$∝$3287$≬⋮($2476$⩟))∁","expression":"(⫖↰⪸10B0⪝⫖↰⪸1093↸⫖↰⪸B9B⇌⫙⪟⫖↰⪸2A28⪒⫖↰⪸939∝⫖↰⪸1A9B≬⋮(⫖↰⪸1524⩟))∁","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":591,"operation_count":8,"complexity_ratio":73.875,"tree":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1860,"base":12},"right_expr":{"type":"numeric_atoms","value":1839,"base":12}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1703,"base":12},"right_expr":{"type":"numeric_atoms","value":4928,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1341,"base":12},"right_expr":{"type":"numeric_atoms","value":3287,"base":12}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":2476,"base":12}}}}},"used_operators":["jdwGQqwJi5","f6k1SAg4EE","1eCjFl0mb9","wicAB68Tmb","AFVx7xoS7T","kbkesczE7y","cTDWOvIxvz","fOIeswaMU4"],"dependent_operators":["2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM"],"result":"⫖↰⪸-749","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1860","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=1839, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=197","layer":3},{"info":"number node, value=1703","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=4928, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=197, right_input=113, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=197","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=3287, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1346","layer":3},{"info":"number node, value=2476","layer":4},{"info":"compute unary expreesion, input=2476, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-21057","layer":3},{"info":"compute binary expreesion, left_input=1346, right_input=-21057, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=197, right_input=868, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1065","layer":1},{"info":"compute unary expreesion, input=-1065, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-1065","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸10B0⪝⫖↰⪸1093↸⫖↰⪸B9B⇌⫙⪟⫖↰⪸2A28⪒⫖↰⪸939∝⫖↰⪸1A9B≬⋮(⫖↰⪸1524⩟))∁=⫖↰⪸-749","reverse_text":"⫖↰⪸-749=(⫖↰⪸10B0⪝⫖↰⪸1093↸⫖↰⪸B9B⇌⫙⪟⫖↰⪸2A28⪒⫖↰⪸939∝⫖↰⪸1A9B≬⋮(⫖↰⪸1524⩟))∁","cot":[{"info":"⫖↰⪸10B0⪝⫖↰⪸1093=⫖↰⪸145","layer":3},{"info":"⫖↰⪸B9B⇌⫙⪟⫖↰⪸2A28=⫖↰⪸95","layer":3},{"info":"⫖↰⪸145↸⫖↰⪸95=⫖↰⪸145","layer":2},{"info":"⫖↰⪸939∝⫖↰⪸1A9B=⫖↰⪸942","layer":3},{"info":"⫖↰⪸1524⩟=⫖↰⪸-10229","layer":3},{"info":"⫖↰⪸942≬⋮⫖↰⪸-10229=⫖↰⪸604","layer":2},{"info":"⫖↰⪸145⪒⫖↰⪸604=⫖↰⪸-749","layer":1},{"info":"⫖↰⪸-749∁=⫖↰⪸-749","layer":0}]}
{"id":742,"expression_no_base_symbol":"⨞⊢($4558$⨽∌$5488$⨓$5538$⇡⇂$8019$)⫣⪄⊒((⨡↴$1921$)⪎↠$1275$⩦$1087$)","expression":"⨞⊢(⫖↰⪸277A⨽∌⫖↰⪸3214⨓⫖↰⪸3256⇡⇂⫖↰⪸4783)⫣⪄⊒((⨡↴⫖↰⪸1141)⪎↠⫖↰⪸8A3⩦⫖↰⪸767)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":40077,"operation_count":8,"complexity_ratio":5009.625,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4558,"base":12},"right_expr":{"type":"numeric_atoms","value":5488,"base":12}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5538,"base":12},"right_expr":{"type":"numeric_atoms","value":8019,"base":12}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1921,"base":12}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1275,"base":12},"right_expr":{"type":"numeric_atoms","value":1087,"base":12}}}}},"used_operators":["xUOZtlo3hN","RabNbG55vr","3ViojmjbAp","9samAPKr6k","UMwdvZNt44","3tVxb0NHM4","liw5iZPkLH","0kmYd0q39Y"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","P8v4zCKN1o","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⫖↰⪸-23A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4558","layer":4},{"info":"number node, value=5488","layer":4},{"info":"compute binary expreesion, left_input=4558, right_input=5488, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=5538","layer":4},{"info":"number node, value=8019","layer":4},{"info":"compute binary expreesion, left_input=5538, right_input=8019, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1921","layer":4},{"info":"compute unary expreesion, input=1921, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2970","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1087, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2550","layer":3},{"info":"compute binary expreesion, left_input=2970, right_input=2550, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-334","layer":0}],"base":12,"result_base":12,"text":"⨞⊢(⫖↰⪸277A⨽∌⫖↰⪸3214⨓⫖↰⪸3256⇡⇂⫖↰⪸4783)⫣⪄⊒((⨡↴⫖↰⪸1141)⪎↠⫖↰⪸8A3⩦⫖↰⪸767)=⫖↰⪸-23A","reverse_text":"⫖↰⪸-23A=⨞⊢(⫖↰⪸277A⨽∌⫖↰⪸3214⨓⫖↰⪸3256⇡⇂⫖↰⪸4783)⫣⪄⊒((⨡↴⫖↰⪸1141)⪎↠⫖↰⪸8A3⩦⫖↰⪸767)","cot":[{"info":"⫖↰⪸277A⨽∌⫖↰⪸3214=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3256⇡⇂⫖↰⪸4783=NaN","layer":3},{"info":"⫖↰⪸0⨓NaN=NaN","layer":2},{"info":"⨡↴⫖↰⪸1141=⫖↰⪸1876","layer":3},{"info":"⫖↰⪸8A3⩦⫖↰⪸767=⫖↰⪸1586","layer":3},{"info":"⫖↰⪸1876⪎↠⫖↰⪸1586=⫖↰⪸114","layer":2},{"info":"NaN⫣⪄⊒⫖↰⪸114=⫖↰⪸114","layer":1},{"info":"⨞⊢⫖↰⪸114=⫖↰⪸-23A","layer":0}]}
{"id":743,"expression_no_base_symbol":"(↑($6118$⫦⪉$1109$))⫒⫫($7015$⊅)↳∿⪆$1311$⫁⪎$2012$*(($3690$⨴∎)⇪⋭)⫰⋱(($1138$∕⩚$1094$)⊭↱($5325$⨑≵⋬$1403$))","expression":"(↑(⫖↰⪸365A⫦⪉⫖↰⪸785))⫒⫫(⫖↰⪸4087⊅)↳∿⪆⫖↰⪸913⫁⪎⫖↰⪸11B8*((⫖↰⪸2176⨴∎)⇪⋭)⫰⋱((⫖↰⪸7AA∕⩚⫖↰⪸772)⊭↱(⫖↰⪸30B9⨑≵⋬⫖↰⪸98B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":44406,"operation_count":13,"complexity_ratio":3415.846153846154,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6118,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":7015,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1311,"base":12},"right_expr":{"type":"numeric_atoms","value":2012,"base":12}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":3690,"base":12}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1138,"base":12},"right_expr":{"type":"numeric_atoms","value":1094,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5325,"base":12},"right_expr":{"type":"numeric_atoms","value":1403,"base":12}}}}},"used_operators":["9HNa5Wba9A","6Ko8hGgeMq","tR7O2zTn5j","wscyQdcy20","Cw4SuJJGHO","7p6YLioM7f","xRrnTEsQ6j","6o9Blt3TJ6","Z8Yg6dlDSp","CpSg5vQTgA","COABgblf1C","z9ffQ9n5Zr","XnXgA4xnOs"],"dependent_operators":["W4YGzv6Whe","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6118","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=6118, right_input=1109, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-7336","layer":3},{"info":"compute unary expreesion, input=-7336, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=7015","layer":4},{"info":"compute unary expreesion, input=7015, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=1311","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=2012, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-701","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-701, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=3690","layer":4},{"info":"compute unary expreesion, input=3690, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1094, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1141","layer":3},{"info":"number node, value=5325","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=5325, right_input=1403, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=18183","layer":3},{"info":"compute binary expreesion, left_input=-1141, right_input=18183, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=38653","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=38653, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↑(⫖↰⪸365A⫦⪉⫖↰⪸785))⫒⫫(⫖↰⪸4087⊅)↳∿⪆⫖↰⪸913⫁⪎⫖↰⪸11B8*((⫖↰⪸2176⨴∎)⇪⋭)⫰⋱((⫖↰⪸7AA∕⩚⫖↰⪸772)⊭↱(⫖↰⪸30B9⨑≵⋬⫖↰⪸98B))=NaN","reverse_text":"NaN=(↑(⫖↰⪸365A⫦⪉⫖↰⪸785))⫒⫫(⫖↰⪸4087⊅)↳∿⪆⫖↰⪸913⫁⪎⫖↰⪸11B8*((⫖↰⪸2176⨴∎)⇪⋭)⫰⋱((⫖↰⪸7AA∕⩚⫖↰⪸772)⊭↱(⫖↰⪸30B9⨑≵⋬⫖↰⪸98B))","cot":[{"info":"⫖↰⪸365A⫦⪉⫖↰⪸785=⫖↰⪸-42B4","layer":3},{"info":"↑⫖↰⪸-42B4=⫖↰⪸140","layer":2},{"info":"⫖↰⪸4087⊅=⫖↰⪸-126","layer":3},{"info":"⫖↰⪸913⫁⪎⫖↰⪸11B8=⫖↰⪸-4A5","layer":3},{"info":"⫖↰⪸-126↳∿⪆⫖↰⪸-4A5=NaN","layer":2},{"info":"⫖↰⪸140⫒⫫NaN=NaN","layer":1},{"info":"⫖↰⪸2176⨴∎=NaN","layer":3},{"info":"NaN⇪⋭=NaN","layer":2},{"info":"⫖↰⪸7AA∕⩚⫖↰⪸772=⫖↰⪸-7B1","layer":3},{"info":"⫖↰⪸30B9⨑≵⋬⫖↰⪸98B=⫖↰⪸A633","layer":3},{"info":"⫖↰⪸-7B1⊭↱⫖↰⪸A633=⫖↰⪸1A451","layer":2},{"info":"NaN⫰⋱⫖↰⪸1A451=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"((↨⩢⫨$2603$)≥⨤⩑($1716$⊿∆))⨸((⫎≠⋺$2810$)⋛(↨$5630$))⋥⋵⩄(($1913$∌↝$1231$⋳⪒(≔$3653$))∌↝(⩒∊($4005$↬$3389$)))","expression":"((↨⩢⫨⫖↰⪸160B)≥⨤⩑(⫖↰⪸BB0⊿∆))⨸((⫎≠⋺⫖↰⪸1762)⋛(↨⫖↰⪸3312))⋥⋵⩄((⫖↰⪸1135∌↝⫖↰⪸867⋳⪒(≔⫖↰⪸2145))∌↝(⩒∊(⫖↰⪸2399↬⫖↰⪸1B65)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":50300,"operation_count":14,"complexity_ratio":3592.8571428571427,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2603,"base":12}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1716,"base":12}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2810,"base":12}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5630,"base":12}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1913,"base":12},"right_expr":{"type":"numeric_atoms","value":1231,"base":12}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":3653,"base":12}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4005,"base":12},"right_expr":{"type":"numeric_atoms","value":3389,"base":12}}}}},"used_operators":["7t3wd0Fuz7","KmoU8R5UQR","gJLn6v0xnP","Z5CJsN7DuW","fv3ZujxkQL","YbUVn0Rbpy","LYeZOJ0nQG","jiX4gk2v2Q","9Isq31Ruls","12rbrZMWeM","8FLs4eVsLt","qazvmhNBbN","B5M0gjZbta"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","NTOWxs364D","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","oZj3VtZNQx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2603","layer":4},{"info":"compute unary expreesion, input=2603, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=1716","layer":4},{"info":"compute unary expreesion, input=1716, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3553","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3553, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=0","layer":2},{"info":"number node, value=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=5630","layer":4},{"info":"compute unary expreesion, input=5630, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1231, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=3653","layer":4},{"info":"compute unary expreesion, input=3653, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-100990","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-100990, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=100703","layer":2},{"info":"number node, value=4005","layer":4},{"info":"number node, value=3389","layer":4},{"info":"compute binary expreesion, left_input=4005, right_input=3389, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=100703, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=201406","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=201406, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((↨⩢⫨⫖↰⪸160B)≥⨤⩑(⫖↰⪸BB0⊿∆))⨸((⫎≠⋺⫖↰⪸1762)⋛(↨⫖↰⪸3312))⋥⋵⩄((⫖↰⪸1135∌↝⫖↰⪸867⋳⪒(≔⫖↰⪸2145))∌↝(⩒∊(⫖↰⪸2399↬⫖↰⪸1B65)))=NaN","reverse_text":"NaN=((↨⩢⫨⫖↰⪸160B)≥⨤⩑(⫖↰⪸BB0⊿∆))⨸((⫎≠⋺⫖↰⪸1762)⋛(↨⫖↰⪸3312))⋥⋵⩄((⫖↰⪸1135∌↝⫖↰⪸867⋳⪒(≔⫖↰⪸2145))∌↝(⩒∊(⫖↰⪸2399↬⫖↰⪸1B65)))","cot":[{"info":"↨⩢⫨⫖↰⪸160B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸BB0⊿∆=⫖↰⪸-2081","layer":3},{"info":"⫖↰⪸0≥⨤⩑⫖↰⪸-2081=⫖↰⪸0","layer":2},{"info":"⫎≠⋺⫖↰⪸1762=⫖↰⪸0","layer":3},{"info":"↨⫖↰⪸3312=NaN","layer":3},{"info":"⫖↰⪸0⋛NaN=NaN","layer":2},{"info":"⫖↰⪸0⨸NaN=NaN","layer":1},{"info":"⫖↰⪸1135∌↝⫖↰⪸867=⫖↰⪸0","layer":3},{"info":"≔⫖↰⪸2145=⫖↰⪸-4A53A","layer":3},{"info":"⫖↰⪸0⋳⪒⫖↰⪸-4A53A=⫖↰⪸4A33B","layer":2},{"info":"⫖↰⪸2399↬⫖↰⪸1B65=NaN","layer":3},{"info":"⩒∊NaN=NaN","layer":2},{"info":"⫖↰⪸4A33B∌↝NaN=⫖↰⪸9867A","layer":1},{"info":"NaN⋥⋵⩄⫖↰⪸9867A=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"($1477$⪔$1439$∠⫱(≤/$1339$)-$2908$⨽∌$2730$⫦⪉($3478$⊭↱$1169$))↹⊜((⊵⊁$7247$)⩁⩘($6732$∵≐)∕⩚($1018$⨝⩣∺)⪇≇⋚$4891$⫣⪄⊒$1551$)","expression":"(⫖↰⪸A31⪔⫖↰⪸9BB∠⫱(≤/⫖↰⪸937)-⫖↰⪸1824⨽∌⫖↰⪸16B6⫦⪉(⫖↰⪸201A⊭↱⫖↰⪸815))↹⊜((⊵⊁⫖↰⪸423B)⩁⩘(⫖↰⪸3A90∵≐)∕⩚(⫖↰⪸70A⨝⩣∺)⪇≇⋚⫖↰⪸29B7⫣⪄⊒⫖↰⪸A93)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1760,"operation_count":15,"complexity_ratio":117.33333333333333,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1477,"base":12},"right_expr":{"type":"numeric_atoms","value":1439,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1339,"base":12}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2908,"base":12},"right_expr":{"type":"numeric_atoms","value":2730,"base":12}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3478,"base":12},"right_expr":{"type":"numeric_atoms","value":1169,"base":12}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":7247,"base":12}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":6732,"base":12}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1018,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4891,"base":12},"right_expr":{"type":"numeric_atoms","value":1551,"base":12}}}}},"used_operators":["9bazX3JMtO","rysDP5nf3Z","QvoQhV0rrE","GjBEYRfMaF","eLAdDNolq6","wscyQdcy20","9samAPKr6k","COABgblf1C","z9ffQ9n5Zr","gub5Cegaqo","AvED76WdY7","59igzFyhWz","3sJ7IOPOlU","ancx8kZcWl","RabNbG55vr"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DpFCA1CohY","IWmyXbctLI","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DZ8iAZOCBD","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⫖↰⪸2248","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1439, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-855","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-855, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1305","layer":2},{"info":"number node, value=2908","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=2730, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3478","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=3478, right_input=1169, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4613","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4613, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":2},{"info":"compute binary expreesion, left_input=1305, right_input=4900, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3595","layer":1},{"info":"number node, value=7247","layer":4},{"info":"compute unary expreesion, input=7247, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=42412","layer":3},{"info":"number node, value=6732","layer":4},{"info":"compute unary expreesion, input=6732, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=5786","layer":3},{"info":"compute binary expreesion, left_input=42412, right_input=5786, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=24092","layer":2},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2036","layer":3},{"info":"number node, value=4891","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=4891, right_input=1551, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-36","layer":3},{"info":"compute binary expreesion, left_input=-2036, right_input=-36, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=24092, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=-3595, right_input=-487, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3800","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸A31⪔⫖↰⪸9BB∠⫱(≤/⫖↰⪸937)-⫖↰⪸1824⨽∌⫖↰⪸16B6⫦⪉(⫖↰⪸201A⊭↱⫖↰⪸815))↹⊜((⊵⊁⫖↰⪸423B)⩁⩘(⫖↰⪸3A90∵≐)∕⩚(⫖↰⪸70A⨝⩣∺)⪇≇⋚⫖↰⪸29B7⫣⪄⊒⫖↰⪸A93)=⫖↰⪸2248","reverse_text":"⫖↰⪸2248=(⫖↰⪸A31⪔⫖↰⪸9BB∠⫱(≤/⫖↰⪸937)-⫖↰⪸1824⨽∌⫖↰⪸16B6⫦⪉(⫖↰⪸201A⊭↱⫖↰⪸815))↹⊜((⊵⊁⫖↰⪸423B)⩁⩘(⫖↰⪸3A90∵≐)∕⩚(⫖↰⪸70A⨝⩣∺)⪇≇⋚⫖↰⪸29B7⫣⪄⊒⫖↰⪸A93)","cot":[{"info":"⫖↰⪸A31⪔⫖↰⪸9BB=⫖↰⪸316","layer":3},{"info":"≤/⫖↰⪸937=⫖↰⪸-5B3","layer":3},{"info":"⫖↰⪸316∠⫱⫖↰⪸-5B3=⫖↰⪸909","layer":2},{"info":"⫖↰⪸1824⨽∌⫖↰⪸16B6=⫖↰⪸0","layer":3},{"info":"⫖↰⪸201A⊭↱⫖↰⪸815=⫖↰⪸-2805","layer":3},{"info":"⫖↰⪸0⫦⪉⫖↰⪸-2805=⫖↰⪸2A04","layer":2},{"info":"⫖↰⪸909-⫖↰⪸2A04=⫖↰⪸-20B7","layer":1},{"info":"⊵⊁⫖↰⪸423B=⫖↰⪸20664","layer":3},{"info":"⫖↰⪸3A90∵≐=⫖↰⪸3422","layer":3},{"info":"⫖↰⪸20664⩁⩘⫖↰⪸3422=⫖↰⪸11B38","layer":2},{"info":"⫖↰⪸70A⨝⩣∺=⫖↰⪸-1218","layer":3},{"info":"⫖↰⪸29B7⫣⪄⊒⫖↰⪸A93=⫖↰⪸-30","layer":3},{"info":"⫖↰⪸-1218⪇≇⋚⫖↰⪸-30=⫖↰⪸0","layer":2},{"info":"⫖↰⪸11B38∕⩚⫖↰⪸0=⫖↰⪸-347","layer":1},{"info":"⫖↰⪸-20B7↹⊜⫖↰⪸-347=⫖↰⪸2248","layer":0}]}
{"id":746,"expression_no_base_symbol":"($1432$≁$1817$⫡⨏$6137$⨑≵⋬$1759$)⩵∡($2463$∠⫱$2337$)⊹∫⫚($3429$+⇶⊼$1645$)↡⊰⫅($3609$⫉⨲⊜$3834$⩨($7299$∽$1247$))⨓(≦∁$3436$⨒$5995$)","expression":"(⫖↰⪸9B4≁⫖↰⪸1075⫡⨏⫖↰⪸3675⨑≵⋬⫖↰⪸1027)⩵∡(⫖↰⪸1513∠⫱⫖↰⪸1429)⊹∫⫚(⫖↰⪸1B99+⇶⊼⫖↰⪸B51)↡⊰⫅(⫖↰⪸2109⫉⨲⊜⫖↰⪸2276⩨(⫖↰⪸4283∽⫖↰⪸87B))⨓(≦∁⫖↰⪸1BA4⨒⫖↰⪸3577)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1348,"operation_count":14,"complexity_ratio":96.28571428571429,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1432,"base":12},"right_expr":{"type":"numeric_atoms","value":1817,"base":12}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6137,"base":12},"right_expr":{"type":"numeric_atoms","value":1759,"base":12}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2463,"base":12},"right_expr":{"type":"numeric_atoms","value":2337,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3429,"base":12},"right_expr":{"type":"numeric_atoms","value":1645,"base":12}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3609,"base":12},"right_expr":{"type":"numeric_atoms","value":3834,"base":12}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":7299,"base":12},"right_expr":{"type":"numeric_atoms","value":1247,"base":12}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3436,"base":12},"right_expr":{"type":"numeric_atoms","value":5995,"base":12}}}}},"used_operators":["VCtxkLNOzz","Y7wcNGrDQJ","QMFrweE19q","8N2wDY1A35","XnXgA4xnOs","uWAJUKEvyW","QvoQhV0rrE","TpPTUOHfaN","3ViojmjbAp","2DlMacCsIx","WhqkvtTD3t","y4ImoPnbV5","9ICcGScMcE","y75s1iXyHd"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1432","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1817, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=30407","layer":3},{"info":"number node, value=6137","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=1759, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=19751","layer":3},{"info":"compute binary expreesion, left_input=30407, right_input=19751, 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=192320","layer":2},{"info":"number node, value=2463","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=2337, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3429","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=1645, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192320, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=3609","layer":4},{"info":"number node, value=3834","layer":4},{"info":"compute binary expreesion, left_input=3609, right_input=3834, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=7299","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=7299, right_input=1247, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-40058","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-40058, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3436","layer":4},{"info":"number node, value=5995","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=5995, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-20244","layer":3},{"info":"compute unary expreesion, input=-20244, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-70, 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":12,"result_base":12,"text":"(⫖↰⪸9B4≁⫖↰⪸1075⫡⨏⫖↰⪸3675⨑≵⋬⫖↰⪸1027)⩵∡(⫖↰⪸1513∠⫱⫖↰⪸1429)⊹∫⫚(⫖↰⪸1B99+⇶⊼⫖↰⪸B51)↡⊰⫅(⫖↰⪸2109⫉⨲⊜⫖↰⪸2276⩨(⫖↰⪸4283∽⫖↰⪸87B))⨓(≦∁⫖↰⪸1BA4⨒⫖↰⪸3577)=NaN","reverse_text":"NaN=(⫖↰⪸9B4≁⫖↰⪸1075⫡⨏⫖↰⪸3675⨑≵⋬⫖↰⪸1027)⩵∡(⫖↰⪸1513∠⫱⫖↰⪸1429)⊹∫⫚(⫖↰⪸1B99+⇶⊼⫖↰⪸B51)↡⊰⫅(⫖↰⪸2109⫉⨲⊜⫖↰⪸2276⩨(⫖↰⪸4283∽⫖↰⪸87B))⨓(≦∁⫖↰⪸1BA4⨒⫖↰⪸3577)","cot":[{"info":"⫖↰⪸9B4≁⫖↰⪸1075=⫖↰⪸1571B","layer":3},{"info":"⫖↰⪸3675⨑≵⋬⫖↰⪸1027=⫖↰⪸B51B","layer":3},{"info":"⫖↰⪸1571B⫡⨏⫖↰⪸B51B=⫖↰⪸93368","layer":2},{"info":"⫖↰⪸1513∠⫱⫖↰⪸1429=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1B99+⇶⊼⫖↰⪸B51=NaN","layer":3},{"info":"⫖↰⪸86A⊹∫⫚NaN=NaN","layer":2},{"info":"⫖↰⪸93368⩵∡NaN=NaN","layer":1},{"info":"⫖↰⪸2109⫉⨲⊜⫖↰⪸2276=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4283∽⫖↰⪸87B=⫖↰⪸-1B222","layer":3},{"info":"⫖↰⪸0⩨⫖↰⪸-1B222=NaN","layer":2},{"info":"⫖↰⪸1BA4⨒⫖↰⪸3577=⫖↰⪸-B870","layer":3},{"info":"≦∁⫖↰⪸-B870=⫖↰⪸57","layer":2},{"info":"NaN⨓⫖↰⪸57=⫖↰⪸-5A","layer":1},{"info":"NaN↡⊰⫅⫖↰⪸-5A=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"⨡↴(($1611$≚⋢)↸$4277$⪨⊡$1372$⫔⩽⩺($1225$⪠⩆⊳)⊬⨰($2895$⨘⋶⪀))","expression":"⨡↴((⫖↰⪸B23≚⋢)↸⫖↰⪸2585⪨⊡⫖↰⪸964⫔⩽⩺(⫖↰⪸861⪠⩆⊳)⊬⨰(⫖↰⪸1813⨘⋶⪀))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":238,"operation_count":8,"complexity_ratio":29.75,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1611,"base":12}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4277,"base":12},"right_expr":{"type":"numeric_atoms","value":1372,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1225,"base":12}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2895,"base":12}}}}},"used_operators":["liw5iZPkLH","i9eR4S00cU","1eCjFl0mb9","MahUMFw56D","kuIXHzHcAH","s3Fd5m9Dh2","JLbD19bQDL","XVKwrhznBb"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","Tw270M8GLb","fu6greOZ01","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","3ViojmjbAp","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=4277","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=4277, right_input=1372, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-89","layer":2},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=2895","layer":4},{"info":"compute unary expreesion, input=2895, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-89, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⨡↴((⫖↰⪸B23≚⋢)↸⫖↰⪸2585⪨⊡⫖↰⪸964⫔⩽⩺(⫖↰⪸861⪠⩆⊳)⊬⨰(⫖↰⪸1813⨘⋶⪀))=NaN","reverse_text":"NaN=⨡↴((⫖↰⪸B23≚⋢)↸⫖↰⪸2585⪨⊡⫖↰⪸964⫔⩽⩺(⫖↰⪸861⪠⩆⊳)⊬⨰(⫖↰⪸1813⨘⋶⪀))","cot":[{"info":"⫖↰⪸B23≚⋢=⫖↰⪸-75","layer":3},{"info":"⫖↰⪸2585⪨⊡⫖↰⪸964=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-75↸⫖↰⪸0=⫖↰⪸-75","layer":2},{"info":"⫖↰⪸861⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1813⨘⋶⪀=NaN","layer":3},{"info":"⫖↰⪸0⊬⨰NaN=NaN","layer":2},{"info":"⫖↰⪸-75⫔⩽⩺NaN=NaN","layer":1},{"info":"⨡↴NaN=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"($4154$∣$1155$⪢($1802$⫲≸⪮$2819$)⪓⨏)∑⇟⊟(⇘($1095$→⨶⪴$7393$⊍⩺⋍(⨮↦↱$4161$)))","expression":"(⫖↰⪸24A2∣⫖↰⪸803⪢(⫖↰⪸1062⫲≸⪮⫖↰⪸176B)⪓⨏)∑⇟⊟(⇘(⫖↰⪸773→⨶⪴⫖↰⪸4341⊍⩺⋍(⨮↦↱⫖↰⪸24A9)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11043,"operation_count":9,"complexity_ratio":1227.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4154,"base":12},"right_expr":{"type":"numeric_atoms","value":1155,"base":12}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1802,"base":12},"right_expr":{"type":"numeric_atoms","value":2819,"base":12}}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1095,"base":12},"right_expr":{"type":"numeric_atoms","value":7393,"base":12}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4161,"base":12}}}}},"used_operators":["U7g4x0WXJJ","4X9JU4Jbn6","dWAJyo7jo9","PPChnnnBFF","P3lXMJvFrc","MGuIdZPyUC","OXDGMFPWZM","bF6eod5Gvf","sYcpBQ0cFf"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","k8jYdgA6NY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","8w2t5hMYqp","9FxExcQeMw","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4154","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=1155, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4154","layer":3},{"info":"number node, value=1802","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=2819, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1802","layer":3},{"info":"compute binary expreesion, left_input=4154, right_input=1802, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=1095","layer":4},{"info":"number node, value=7393","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=7393, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-22179","layer":3},{"info":"number node, value=4161","layer":4},{"info":"compute unary expreesion, input=4161, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-40386699","layer":3},{"info":"compute binary expreesion, left_input=-22179, right_input=-40386699, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸24A2∣⫖↰⪸803⪢(⫖↰⪸1062⫲≸⪮⫖↰⪸176B)⪓⨏)∑⇟⊟(⇘(⫖↰⪸773→⨶⪴⫖↰⪸4341⊍⩺⋍(⨮↦↱⫖↰⪸24A9)))=NaN","reverse_text":"NaN=(⫖↰⪸24A2∣⫖↰⪸803⪢(⫖↰⪸1062⫲≸⪮⫖↰⪸176B)⪓⨏)∑⇟⊟(⇘(⫖↰⪸773→⨶⪴⫖↰⪸4341⊍⩺⋍(⨮↦↱⫖↰⪸24A9)))","cot":[{"info":"⫖↰⪸24A2∣⫖↰⪸803=⫖↰⪸24A2","layer":3},{"info":"⫖↰⪸1062⫲≸⪮⫖↰⪸176B=⫖↰⪸1062","layer":3},{"info":"⫖↰⪸24A2⪢⫖↰⪸1062=NaN","layer":2},{"info":"NaN⪓⨏=NaN","layer":1},{"info":"⫖↰⪸773→⨶⪴⫖↰⪸4341=⫖↰⪸-10A03","layer":3},{"info":"⨮↦↱⫖↰⪸24A9=⫖↰⪸-11637B23","layer":3},{"info":"⫖↰⪸-10A03⊍⩺⋍⫖↰⪸-11637B23=NaN","layer":2},{"info":"⇘NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"↩((($1303$/$5142$)⊦⊿)⩘⨬⇊)","expression":"↩(((⫖↰⪸907/⫖↰⪸2B86)⊦⊿)⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6938,"operation_count":4,"complexity_ratio":1734.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1303,"base":12},"right_expr":{"type":"numeric_atoms","value":5142,"base":12}}}}},"used_operators":["jLgFTUHLKL","XXmTpEpWTW","14qkJME0vr","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫖↰⪸3738","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":4},{"info":"number node, value=5142","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=5142, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":1},{"info":"compute unary expreesion, input=-116, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=6236","layer":0}],"base":12,"result_base":12,"text":"↩(((⫖↰⪸907/⫖↰⪸2B86)⊦⊿)⩘⨬⇊)=⫖↰⪸3738","reverse_text":"⫖↰⪸3738=↩(((⫖↰⪸907/⫖↰⪸2B86)⊦⊿)⩘⨬⇊)","cot":[{"info":"⫖↰⪸907/⫖↰⪸2B86=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊦⊿=⫖↰⪸-67","layer":2},{"info":"⫖↰⪸-67⩘⨬⇊=⫖↰⪸-98","layer":1},{"info":"↩⫖↰⪸-98=⫖↰⪸3738","layer":0}]}
{"id":750,"expression_no_base_symbol":"(($2248$⪨⊡$2050$/$1573$%$2247$)≳⇉(($2771$⫿)⫳≱↱$1439$⩵∡$2404$))↹⊜(∷≠(⩷⨜⫀($3627$⊔$1586$)))","expression":"((⫖↰⪸1374⪨⊡⫖↰⪸122A/⫖↰⪸AB1%⫖↰⪸1373)≳⇉((⫖↰⪸172B⫿)⫳≱↱⫖↰⪸9BB⩵∡⫖↰⪸1484))↹⊜(∷≠(⩷⨜⫀(⫖↰⪸2123⊔⫖↰⪸B02)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":564500,"operation_count":11,"complexity_ratio":51318.181818181816,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2248,"base":12},"right_expr":{"type":"numeric_atoms","value":2050,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1573,"base":12},"right_expr":{"type":"numeric_atoms","value":2247,"base":12}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2771,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1439,"base":12},"right_expr":{"type":"numeric_atoms","value":2404,"base":12}}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3627,"base":12},"right_expr":{"type":"numeric_atoms","value":1586,"base":12}}}}},"used_operators":["9bazX3JMtO","V0kx6qeWkN","XhwjNDsVaA","kuIXHzHcAH","k8jYdgA6NY","ZvLB05nZmT","9tKT6PmtkH","Y7wcNGrDQJ","QiR2Oyf5Xj","CDi0ktkjQ4","E4l6HwMY31"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","7j4O788W3g","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2248","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=2050, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1573","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=2247, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1573","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1573, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2771","layer":4},{"info":"compute unary expreesion, input=2771, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2771","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=2404, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-595","layer":3},{"info":"compute binary expreesion, left_input=2771, right_input=-595, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-204, 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=3627","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=1586, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=12784","layer":3},{"info":"compute unary expreesion, input=12784, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-12511","layer":2},{"info":"compute unary expreesion, input=-12511, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-12511","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12511, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1374⪨⊡⫖↰⪸122A/⫖↰⪸AB1%⫖↰⪸1373)≳⇉((⫖↰⪸172B⫿)⫳≱↱⫖↰⪸9BB⩵∡⫖↰⪸1484))↹⊜(∷≠(⩷⨜⫀(⫖↰⪸2123⊔⫖↰⪸B02)))=NaN","reverse_text":"NaN=((⫖↰⪸1374⪨⊡⫖↰⪸122A/⫖↰⪸AB1%⫖↰⪸1373)≳⇉((⫖↰⪸172B⫿)⫳≱↱⫖↰⪸9BB⩵∡⫖↰⪸1484))↹⊜(∷≠(⩷⨜⫀(⫖↰⪸2123⊔⫖↰⪸B02)))","cot":[{"info":"⫖↰⪸1374⪨⊡⫖↰⪸122A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸AB1%⫖↰⪸1373=⫖↰⪸AB1","layer":3},{"info":"⫖↰⪸0/⫖↰⪸AB1=⫖↰⪸0","layer":2},{"info":"⫖↰⪸172B⫿=⫖↰⪸172B","layer":3},{"info":"⫖↰⪸9BB⩵∡⫖↰⪸1484=⫖↰⪸-417","layer":3},{"info":"⫖↰⪸172B⫳≱↱⫖↰⪸-417=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸0≳⇉⫖↰⪸-150=NaN","layer":1},{"info":"⫖↰⪸2123⊔⫖↰⪸B02=⫖↰⪸7494","layer":3},{"info":"⩷⨜⫀⫖↰⪸7494=⫖↰⪸-72A7","layer":2},{"info":"∷≠⫖↰⪸-72A7=⫖↰⪸-72A7","layer":1},{"info":"NaN↹⊜⫖↰⪸-72A7=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"(($9230$⨲∙)⫞⩸⩒($4394$∓⋝$1722$))⪃⊛⇣(($1263$⨑≵⋬$2884$)⩼⇪↪(⇺⋃$1194$))↠","expression":"((⫖↰⪸5412⨲∙)⫞⩸⩒(⫖↰⪸2662∓⋝⫖↰⪸BB6))⪃⊛⇣((⫖↰⪸893⨑≵⋬⫖↰⪸1804)⩼⇪↪(⇺⋃⫖↰⪸836))↠","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5665,"operation_count":8,"complexity_ratio":708.125,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":9230,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4394,"base":12},"right_expr":{"type":"numeric_atoms","value":1722,"base":12}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1263,"base":12},"right_expr":{"type":"numeric_atoms","value":2884,"base":12}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1194,"base":12}}}}},"used_operators":["LBdsKIvxzf","rrgAzCduG9","XGcMNugi78","cRahaglYVE","PoHhknlbAi","ocnLzx9CaJ","XnXgA4xnOs","E5v5B3UAjG"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=9230","layer":4},{"info":"compute unary expreesion, input=9230, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=122564222","layer":3},{"info":"number node, value=4394","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=1722, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=122564222, right_input=67, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=67","layer":2},{"info":"number node, value=1263","layer":4},{"info":"number node, value=2884","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=2884, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12494","layer":3},{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12494, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸5412⨲∙)⫞⩸⩒(⫖↰⪸2662∓⋝⫖↰⪸BB6))⪃⊛⇣((⫖↰⪸893⨑≵⋬⫖↰⪸1804)⩼⇪↪(⇺⋃⫖↰⪸836))↠=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=((⫖↰⪸5412⨲∙)⫞⩸⩒(⫖↰⪸2662∓⋝⫖↰⪸BB6))⪃⊛⇣((⫖↰⪸893⨑≵⋬⫖↰⪸1804)⩼⇪↪(⇺⋃⫖↰⪸836))↠","cot":[{"info":"⫖↰⪸5412⨲∙=⫖↰⪸35068452","layer":3},{"info":"⫖↰⪸2662∓⋝⫖↰⪸BB6=⫖↰⪸57","layer":3},{"info":"⫖↰⪸35068452⫞⩸⩒⫖↰⪸57=⫖↰⪸57","layer":2},{"info":"⫖↰⪸893⨑≵⋬⫖↰⪸1804=⫖↰⪸-7292","layer":3},{"info":"⇺⋃⫖↰⪸836=NaN","layer":3},{"info":"⫖↰⪸-7292⩼⇪↪NaN=NaN","layer":2},{"info":"⫖↰⪸57⪃⊛⇣NaN=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸86A↠=⫖↰⪸-313","layer":0}]}
{"id":752,"expression_no_base_symbol":"(($1977$⪛$1864$)∇⊂⋱($3075$∪⫐$3736$)⩹(≸≮($1062$↸$2794$)))≃(($1005$⨔⇊$5459$⋭≵$2328$⫯⪬∳$2368$)⫥∨⫟($2236$∙⊟$6803$)⪝($3271$∴$9597$))","expression":"((⫖↰⪸1189⪛⫖↰⪸10B4)∇⊂⋱(⫖↰⪸1943∪⫐⫖↰⪸21B4)⩹(≸≮(⫖↰⪸746↸⫖↰⪸174A)))≃((⫖↰⪸6B9⨔⇊⫖↰⪸31AB⋭≵⫖↰⪸1420⫯⪬∳⫖↰⪸1454)⫥∨⫟(⫖↰⪸1364∙⊟⫖↰⪸3B2B)⪝(⫖↰⪸1A87∴⫖↰⪸5679))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13986,"operation_count":14,"complexity_ratio":999.0,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1977,"base":12},"right_expr":{"type":"numeric_atoms","value":1864,"base":12}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3075,"base":12},"right_expr":{"type":"numeric_atoms","value":3736,"base":12}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1062,"base":12},"right_expr":{"type":"numeric_atoms","value":2794,"base":12}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1005,"base":12},"right_expr":{"type":"numeric_atoms","value":5459,"base":12}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2328,"base":12},"right_expr":{"type":"numeric_atoms","value":2368,"base":12}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2236,"base":12},"right_expr":{"type":"numeric_atoms","value":6803,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3271,"base":12},"right_expr":{"type":"numeric_atoms","value":9597,"base":12}}}}},"used_operators":["YbVcJGFEVW","2Wsdkap16l","nhYeJWJD5X","uFcxV4UQCh","7YooWSwCyH","AljMvE3RRm","1eCjFl0mb9","KYD54nUTWz","jBncVCNhdl","JclMnS0uGI","d7ASUq0ydm","wicAB68Tmb","SxTAKzQCrw","hrf7POJlIJ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1977","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=1864, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=113","layer":3},{"info":"number node, value=3075","layer":4},{"info":"number node, value=3736","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=3736, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3075","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=3075, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-6150","layer":2},{"info":"number node, value=1062","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2794, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1062","layer":3},{"info":"compute unary expreesion, input=1062, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6150, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5459, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5459","layer":3},{"info":"number node, value=2328","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=2328, right_input=2368, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9305","layer":3},{"info":"compute binary expreesion, left_input=5459, right_input=9305, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2236","layer":4},{"info":"number node, value=6803","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=6803, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=38914","layer":3},{"info":"number node, value=3271","layer":4},{"info":"number node, value=9597","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=9597, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8190","layer":3},{"info":"compute binary expreesion, left_input=38914, right_input=8190, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-123295","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-123295, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1189⪛⫖↰⪸10B4)∇⊂⋱(⫖↰⪸1943∪⫐⫖↰⪸21B4)⩹(≸≮(⫖↰⪸746↸⫖↰⪸174A)))≃((⫖↰⪸6B9⨔⇊⫖↰⪸31AB⋭≵⫖↰⪸1420⫯⪬∳⫖↰⪸1454)⫥∨⫟(⫖↰⪸1364∙⊟⫖↰⪸3B2B)⪝(⫖↰⪸1A87∴⫖↰⪸5679))=NaN","reverse_text":"NaN=((⫖↰⪸1189⪛⫖↰⪸10B4)∇⊂⋱(⫖↰⪸1943∪⫐⫖↰⪸21B4)⩹(≸≮(⫖↰⪸746↸⫖↰⪸174A)))≃((⫖↰⪸6B9⨔⇊⫖↰⪸31AB⋭≵⫖↰⪸1420⫯⪬∳⫖↰⪸1454)⫥∨⫟(⫖↰⪸1364∙⊟⫖↰⪸3B2B)⪝(⫖↰⪸1A87∴⫖↰⪸5679))","cot":[{"info":"⫖↰⪸1189⪛⫖↰⪸10B4=⫖↰⪸95","layer":3},{"info":"⫖↰⪸1943∪⫐⫖↰⪸21B4=⫖↰⪸1943","layer":3},{"info":"⫖↰⪸95∇⊂⋱⫖↰⪸1943=⫖↰⪸-3686","layer":2},{"info":"⫖↰⪸746↸⫖↰⪸174A=⫖↰⪸746","layer":3},{"info":"≸≮⫖↰⪸746=NaN","layer":2},{"info":"⫖↰⪸-3686⩹NaN=NaN","layer":1},{"info":"⫖↰⪸6B9⨔⇊⫖↰⪸31AB=⫖↰⪸31AB","layer":3},{"info":"⫖↰⪸1420⫯⪬∳⫖↰⪸1454=⫖↰⪸5475","layer":3},{"info":"⫖↰⪸31AB⋭≵⫖↰⪸5475=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1364∙⊟⫖↰⪸3B2B=⫖↰⪸1A62A","layer":3},{"info":"⫖↰⪸1A87∴⫖↰⪸5679=⫖↰⪸48A6","layer":3},{"info":"⫖↰⪸1A62A⪝⫖↰⪸48A6=⫖↰⪸-5B427","layer":2},{"info":"⫖↰⪸57⫥∨⫟⫖↰⪸-5B427=NaN","layer":1},{"info":"NaN≃NaN=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"($3905$⨚$4860$)⇤(↞≼$9191$)⊋((⨩∲⋌$3897$)⩺⪪$1988$⪎↠$5839$)∵≐","expression":"(⫖↰⪸2315⨚⫖↰⪸2990)⇤(↞≼⫖↰⪸539B)⊋((⨩∲⋌⫖↰⪸2309)⩺⪪⫖↰⪸1198⪎↠⫖↰⪸3467)∵≐","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":261,"operation_count":8,"complexity_ratio":32.625,"tree":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3905,"base":12},"right_expr":{"type":"numeric_atoms","value":4860,"base":12}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":9191,"base":12}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3897,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1988,"base":12},"right_expr":{"type":"numeric_atoms","value":5839,"base":12}}}}},"used_operators":["59igzFyhWz","W4tP9CfskL","YSKBFp38Pu","nREPSIbpBE","DE7zCoGJt9","uvdQJvN4PV","aSik1wnThz","3tVxb0NHM4"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⫖↰⪸1BB30","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3905","layer":4},{"info":"number node, value=4860","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=4860, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10696","layer":3},{"info":"number node, value=9191","layer":4},{"info":"compute unary expreesion, input=9191, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=73114","layer":3},{"info":"compute binary expreesion, left_input=-10696, right_input=73114, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-309242","layer":2},{"info":"number node, value=3897","layer":4},{"info":"compute unary expreesion, input=3897, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4420","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=5839","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=5839, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-4420, right_input=160, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=-309242, right_input=-1818, 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=-41814","layer":1},{"info":"compute unary expreesion, input=-41814, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=41364","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2315⨚⫖↰⪸2990)⇤(↞≼⫖↰⪸539B)⊋((⨩∲⋌⫖↰⪸2309)⩺⪪⫖↰⪸1198⪎↠⫖↰⪸3467)∵≐=⫖↰⪸1BB30","reverse_text":"⫖↰⪸1BB30=(⫖↰⪸2315⨚⫖↰⪸2990)⇤(↞≼⫖↰⪸539B)⊋((⨩∲⋌⫖↰⪸2309)⩺⪪⫖↰⪸1198⪎↠⫖↰⪸3467)∵≐","cot":[{"info":"⫖↰⪸2315⨚⫖↰⪸2990=⫖↰⪸-6234","layer":3},{"info":"↞≼⫖↰⪸539B=⫖↰⪸3638A","layer":3},{"info":"⫖↰⪸-6234⇤⫖↰⪸3638A=⫖↰⪸-12AB62","layer":2},{"info":"⨩∲⋌⫖↰⪸2309=⫖↰⪸-2684","layer":3},{"info":"⫖↰⪸1198⪎↠⫖↰⪸3467=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-2684⩺⪪⫖↰⪸114=⫖↰⪸-1076","layer":2},{"info":"⫖↰⪸-12AB62⊋⫖↰⪸-1076=⫖↰⪸-20246","layer":1},{"info":"⫖↰⪸-20246∵≐=⫖↰⪸1BB30","layer":0}]}
{"id":754,"expression_no_base_symbol":"((↞≼($4380$*$1005$))⫚↹⊑(⨵≀≌$2219$≭$4014$))⨻⩈⩔(($3267$⫩)↳≱$5920$≌$2970$⫦⪉(⪨⨬($1799$⫌⩹⨱)))","expression":"((↞≼(⫖↰⪸2650*⫖↰⪸6B9))⫚↹⊑(⨵≀≌⫖↰⪸134B≭⫖↰⪸23A6))⨻⩈⩔((⫖↰⪸1A83⫩)↳≱⫖↰⪸3514≌⫖↰⪸1876⫦⪉(⪨⨬(⫖↰⪸105B⫌⩹⨱)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7615,"operation_count":12,"complexity_ratio":634.5833333333334,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4380,"base":12},"right_expr":{"type":"numeric_atoms","value":1005,"base":12}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2219,"base":12},"right_expr":{"type":"numeric_atoms","value":4014,"base":12}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":3267,"base":12}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5920,"base":12},"right_expr":{"type":"numeric_atoms","value":2970,"base":12}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1799,"base":12}}}}},"used_operators":["nEsXyWgiOK","dfKe02y8D2","DE7zCoGJt9","9HNa5Wba9A","srAu1WTS94","rxpJgHHUmx","wscyQdcy20","JwTKLfZU96","6aG7x05OhS","lyWz822IDG","5obUd6DV38","EBcxylXtPf"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","dWAJyo7jo9","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-126","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4380","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=4380, right_input=1005, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4401900","layer":3},{"info":"compute unary expreesion, input=4401900, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=35214786","layer":2},{"info":"number node, value=2219","layer":4},{"info":"number node, value=4014","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=4014, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=35214786, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=3267","layer":4},{"info":"compute unary expreesion, input=3267, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=5920","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=5920, right_input=2970, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1799","layer":4},{"info":"compute unary expreesion, input=1799, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4999","layer":3},{"info":"compute unary expreesion, input=4999, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-526, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=4900, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":12,"result_base":12,"text":"((↞≼(⫖↰⪸2650*⫖↰⪸6B9))⫚↹⊑(⨵≀≌⫖↰⪸134B≭⫖↰⪸23A6))⨻⩈⩔((⫖↰⪸1A83⫩)↳≱⫖↰⪸3514≌⫖↰⪸1876⫦⪉(⪨⨬(⫖↰⪸105B⫌⩹⨱)))=⫖↰⪸-126","reverse_text":"⫖↰⪸-126=((↞≼(⫖↰⪸2650*⫖↰⪸6B9))⫚↹⊑(⨵≀≌⫖↰⪸134B≭⫖↰⪸23A6))⨻⩈⩔((⫖↰⪸1A83⫩)↳≱⫖↰⪸3514≌⫖↰⪸1876⫦⪉(⪨⨬(⫖↰⪸105B⫌⩹⨱)))","cot":[{"info":"⫖↰⪸2650*⫖↰⪸6B9=⫖↰⪸1583490","layer":3},{"info":"↞≼⫖↰⪸1583490=⫖↰⪸B962B16","layer":2},{"info":"⫖↰⪸134B≭⫖↰⪸23A6=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⫖↰⪸B962B16⫚↹⊑NaN=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸1A83⫩=NaN","layer":3},{"info":"⫖↰⪸3514≌⫖↰⪸1876=NaN","layer":3},{"info":"NaN↳≱NaN=⫖↰⪸0","layer":2},{"info":"⫖↰⪸105B⫌⩹⨱=⫖↰⪸2A87","layer":3},{"info":"⪨⨬⫖↰⪸2A87=⫖↰⪸-37A","layer":2},{"info":"⫖↰⪸0⫦⪉⫖↰⪸-37A=⫖↰⪸2A04","layer":1},{"info":"⫖↰⪸-313⨻⩈⩔⫖↰⪸2A04=⫖↰⪸-126","layer":0}]}
{"id":755,"expression_no_base_symbol":"⊲⪭(⇤←(⨵$3206$)⫔⩽⩺$1335$∠↢$4190$)","expression":"⊲⪭(⇤←(⨵⫖↰⪸1A32)⫔⩽⩺⫖↰⪸933∠↢⫖↰⪸2512)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":126,"operation_count":5,"complexity_ratio":25.2,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3206,"base":12}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1335,"base":12},"right_expr":{"type":"numeric_atoms","value":4190,"base":12}}}}},"used_operators":["k7HXdKtiEU","jfAgQ2OQeM","i9eR4S00cU","Tl3Y52tvF8","KbjG8mgYpV"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","Tw270M8GLb","fu6greOZ01","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3206","layer":4},{"info":"compute unary expreesion, input=3206, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-26857","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=4190, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-62918","layer":3},{"info":"compute binary expreesion, left_input=-26857, right_input=-62918, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊲⪭(⇤←(⨵⫖↰⪸1A32)⫔⩽⩺⫖↰⪸933∠↢⫖↰⪸2512)=NaN","reverse_text":"NaN=⊲⪭(⇤←(⨵⫖↰⪸1A32)⫔⩽⩺⫖↰⪸933∠↢⫖↰⪸2512)","cot":[{"info":"⨵⫖↰⪸1A32=⫖↰⪸-13661","layer":3},{"info":"⫖↰⪸933∠↢⫖↰⪸2512=⫖↰⪸-304B2","layer":3},{"info":"⫖↰⪸-13661⫔⩽⩺⫖↰⪸-304B2=NaN","layer":2},{"info":"⇤←NaN=NaN","layer":1},{"info":"⊲⪭NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"(⨙⪌($5461$⪉⨛$6120$))⨽∌((⨡↴$5498$)≬⇓$3633$≎⊠⪸$6174$)↼⊘⨖(⇉-⫰($1145$↙$7479$))⪝((↩$2060$)⫣⪄⊒$3845$⇡⇂$1702$)","expression":"(⨙⪌(⫖↰⪸31B1⪉⨛⫖↰⪸3660))⨽∌((⨡↴⫖↰⪸3222)≬⇓⫖↰⪸2129≎⊠⪸⫖↰⪸36A6)↼⊘⨖(⇉-⫰(⫖↰⪸7B5↙⫖↰⪸43B3))⪝((↩⫖↰⪸1238)⫣⪄⊒⫖↰⪸2285⇡⇂⫖↰⪸B9A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20397,"operation_count":13,"complexity_ratio":1569.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5461,"base":12},"right_expr":{"type":"numeric_atoms","value":6120,"base":12}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":5498,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3633,"base":12},"right_expr":{"type":"numeric_atoms","value":6174,"base":12}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1145,"base":12},"right_expr":{"type":"numeric_atoms","value":7479,"base":12}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2060,"base":12}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3845,"base":12},"right_expr":{"type":"numeric_atoms","value":1702,"base":12}}}}},"used_operators":["bPywburJMS","9samAPKr6k","vEGLkm4Z2k","EWw2JM7wp4","jWTQ2TZYIH","liw5iZPkLH","bJkvcejdHO","wicAB68Tmb","IGFM8TAlm9","yyfyN0ffXY","RabNbG55vr","jLgFTUHLKL","UMwdvZNt44"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","P8v4zCKN1o","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eH2TOUuTDT","eewbuw0ToL","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⫖↰⪸190","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5461","layer":4},{"info":"number node, value=6120","layer":4},{"info":"compute binary expreesion, left_input=5461, right_input=6120, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=10478","layer":3},{"info":"compute unary expreesion, input=10478, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=5498","layer":4},{"info":"compute unary expreesion, input=5498, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=6547","layer":3},{"info":"number node, value=3633","layer":4},{"info":"number node, value=6174","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=6174, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=940474","layer":3},{"info":"compute binary expreesion, left_input=6547, right_input=940474, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-22, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1145","layer":4},{"info":"number node, value=7479","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=7479, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22437","layer":3},{"info":"compute unary expreesion, input=-22437, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13700","layer":3},{"info":"number node, value=3845","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=3845, right_input=1702, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13700, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=160, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=237, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=252","layer":0}],"base":12,"result_base":12,"text":"(⨙⪌(⫖↰⪸31B1⪉⨛⫖↰⪸3660))⨽∌((⨡↴⫖↰⪸3222)≬⇓⫖↰⪸2129≎⊠⪸⫖↰⪸36A6)↼⊘⨖(⇉-⫰(⫖↰⪸7B5↙⫖↰⪸43B3))⪝((↩⫖↰⪸1238)⫣⪄⊒⫖↰⪸2285⇡⇂⫖↰⪸B9A)=⫖↰⪸190","reverse_text":"⫖↰⪸190=(⨙⪌(⫖↰⪸31B1⪉⨛⫖↰⪸3660))⨽∌((⨡↴⫖↰⪸3222)≬⇓⫖↰⪸2129≎⊠⪸⫖↰⪸36A6)↼⊘⨖(⇉-⫰(⫖↰⪸7B5↙⫖↰⪸43B3))⪝((↩⫖↰⪸1238)⫣⪄⊒⫖↰⪸2285⇡⇂⫖↰⪸B9A)","cot":[{"info":"⫖↰⪸31B1⪉⨛⫖↰⪸3660=⫖↰⪸6092","layer":3},{"info":"⨙⪌⫖↰⪸6092=⫖↰⪸604","layer":2},{"info":"⨡↴⫖↰⪸3222=⫖↰⪸3957","layer":3},{"info":"⫖↰⪸2129≎⊠⪸⫖↰⪸36A6=⫖↰⪸39430A","layer":3},{"info":"⫖↰⪸3957≬⇓⫖↰⪸39430A=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸604⨽∌⫖↰⪸-1A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸7B5↙⫖↰⪸43B3=⫖↰⪸-10B99","layer":3},{"info":"⇉-⫰⫖↰⪸-10B99=⫖↰⪸18","layer":2},{"info":"↩⫖↰⪸1238=⫖↰⪸-7B18","layer":3},{"info":"⫖↰⪸2285⇡⇂⫖↰⪸B9A=NaN","layer":3},{"info":"⫖↰⪸-7B18⫣⪄⊒NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸18⪝⫖↰⪸114=⫖↰⪸179","layer":1},{"info":"⫖↰⪸0↼⊘⨖⫖↰⪸179=⫖↰⪸190","layer":0}]}
{"id":757,"expression_no_base_symbol":"((+⊝⨔$1512$⪝$2638$)↑)≥⨤⩑($2410$⨳⩥⨓$1229$)⫞⩸⩒($1280$⪘⫢$8529$)↼⊘⨖($1807$⊋$1003$≧⫂∧(⩎⋉$5604$))","expression":"((+⊝⨔⫖↰⪸A60⪝⫖↰⪸163A)↑)≥⨤⩑(⫖↰⪸148A⨳⩥⨓⫖↰⪸865)⫞⩸⩒(⫖↰⪸8A8⪘⫢⫖↰⪸4B29)↼⊘⨖(⫖↰⪸1067⊋⫖↰⪸6B7≧⫂∧(⩎⋉⫖↰⪸32B0))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2289,"operation_count":11,"complexity_ratio":208.0909090909091,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1512,"base":12},"right_expr":{"type":"numeric_atoms","value":2638,"base":12}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2410,"base":12},"right_expr":{"type":"numeric_atoms","value":1229,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1280,"base":12},"right_expr":{"type":"numeric_atoms","value":8529,"base":12}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1807,"base":12},"right_expr":{"type":"numeric_atoms","value":1003,"base":12}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":5604,"base":12}}}}},"used_operators":["gJLn6v0xnP","BThhyOhh10","DhbWaqg5eL","wicAB68Tmb","bPywburJMS","XGcMNugi78","nCS4ZIUYfx","oacrs7FA3X","Ph9nP6C5qx","W4tP9CfskL","FlXk3pOYe8"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=2638, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"number node, value=2410","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=1229, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1181","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=8529","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=8529, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2436","layer":3},{"info":"compute binary expreesion, left_input=-1181, right_input=2436, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-1181","layer":2},{"info":"number node, value=1807","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1003, 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=6221340","layer":3},{"info":"number node, value=5604","layer":4},{"info":"compute unary expreesion, input=5604, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=6221340, right_input=1650, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1177","layer":2},{"info":"compute binary expreesion, left_input=-1181, right_input=1177, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2132","layer":1},{"info":"compute binary expreesion, left_input=222, right_input=2132, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((+⊝⨔⫖↰⪸A60⪝⫖↰⪸163A)↑)≥⨤⩑(⫖↰⪸148A⨳⩥⨓⫖↰⪸865)⫞⩸⩒(⫖↰⪸8A8⪘⫢⫖↰⪸4B29)↼⊘⨖(⫖↰⪸1067⊋⫖↰⪸6B7≧⫂∧(⩎⋉⫖↰⪸32B0))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((+⊝⨔⫖↰⪸A60⪝⫖↰⪸163A)↑)≥⨤⩑(⫖↰⪸148A⨳⩥⨓⫖↰⪸865)⫞⩸⩒(⫖↰⪸8A8⪘⫢⫖↰⪸4B29)↼⊘⨖(⫖↰⪸1067⊋⫖↰⪸6B7≧⫂∧(⩎⋉⫖↰⪸32B0))","cot":[{"info":"⫖↰⪸A60⪝⫖↰⪸163A=⫖↰⪸179","layer":3},{"info":"+⊝⨔⫖↰⪸179=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸A6A↑=⫖↰⪸166","layer":1},{"info":"⫖↰⪸148A⨳⩥⨓⫖↰⪸865=⫖↰⪸-825","layer":3},{"info":"⫖↰⪸8A8⪘⫢⫖↰⪸4B29=⫖↰⪸14B0","layer":3},{"info":"⫖↰⪸-825⫞⩸⩒⫖↰⪸14B0=⫖↰⪸-825","layer":2},{"info":"⫖↰⪸1067⊋⫖↰⪸6B7=⫖↰⪸2100390","layer":3},{"info":"⩎⋉⫖↰⪸32B0=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸2100390≧⫂∧⫖↰⪸B56=⫖↰⪸821","layer":2},{"info":"⫖↰⪸-825↼⊘⨖⫖↰⪸821=⫖↰⪸1298","layer":1},{"info":"⫖↰⪸166≥⨤⩑⫖↰⪸1298=⫖↰⪸86A","layer":0}]}
{"id":758,"expression_no_base_symbol":"(($1033$≬⇓$4194$)⪡(↽≂$1188$)⨸⪁($2900$⫸⇳$3607$)⪍↜⋙($2313$⋘⨑⨽))⪉⨛(∑⇻≧($2224$∳⫺$2323$)⫣⪄⊒($3067$≠≀$1060$))","expression":"((⫖↰⪸721≬⇓⫖↰⪸2516)⪡(↽≂⫖↰⪸830)⨸⪁(⫖↰⪸1818⫸⇳⫖↰⪸2107)⪍↜⋙(⫖↰⪸1409⋘⨑⨽))⪉⨛(∑⇻≧(⫖↰⪸1354∳⫺⫖↰⪸1417)⫣⪄⊒(⫖↰⪸1937≠≀⫖↰⪸744))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":201,"operation_count":12,"complexity_ratio":16.75,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1033,"base":12},"right_expr":{"type":"numeric_atoms","value":4194,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1188,"base":12}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2900,"base":12},"right_expr":{"type":"numeric_atoms","value":3607,"base":12}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2313,"base":12}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2224,"base":12},"right_expr":{"type":"numeric_atoms","value":2323,"base":12}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3067,"base":12},"right_expr":{"type":"numeric_atoms","value":1060,"base":12}}}}},"used_operators":["EWw2JM7wp4","g55IO6H4Gj","oraRL2iQuh","jWTQ2TZYIH","u6S6b8DprG","L05ObWFQCd","gx7XJ7hdpj","WmT3o8z6ya","l1M9WJ3V7u","RabNbG55vr","AzXXKTstlj","IwW236VD4Y"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⫖↰⪸-79A87","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=4194, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2376","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-2376, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-2024","layer":2},{"info":"number node, value=2900","layer":4},{"info":"number node, value=3607","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=3607, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2313","layer":4},{"info":"compute unary expreesion, input=2313, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=12348","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12348, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-25479","layer":2},{"info":"compute binary expreesion, left_input=-2024, right_input=-25479, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-55006","layer":1},{"info":"number node, value=2224","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=2323, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3067","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=1060, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5828","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-5828, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=-55006, right_input=-852, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-162247","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸721≬⇓⫖↰⪸2516)⪡(↽≂⫖↰⪸830)⨸⪁(⫖↰⪸1818⫸⇳⫖↰⪸2107)⪍↜⋙(⫖↰⪸1409⋘⨑⨽))⪉⨛(∑⇻≧(⫖↰⪸1354∳⫺⫖↰⪸1417)⫣⪄⊒(⫖↰⪸1937≠≀⫖↰⪸744))=⫖↰⪸-79A87","reverse_text":"⫖↰⪸-79A87=((⫖↰⪸721≬⇓⫖↰⪸2516)⪡(↽≂⫖↰⪸830)⨸⪁(⫖↰⪸1818⫸⇳⫖↰⪸2107)⪍↜⋙(⫖↰⪸1409⋘⨑⨽))⪉⨛(∑⇻≧(⫖↰⪸1354∳⫺⫖↰⪸1417)⫣⪄⊒(⫖↰⪸1937≠≀⫖↰⪸744))","cot":[{"info":"⫖↰⪸721≬⇓⫖↰⪸2516=⫖↰⪸-1A","layer":3},{"info":"↽≂⫖↰⪸830=⫖↰⪸-1460","layer":3},{"info":"⫖↰⪸-1A⪡⫖↰⪸-1460=⫖↰⪸-1208","layer":2},{"info":"⫖↰⪸1818⫸⇳⫖↰⪸2107=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1409⋘⨑⨽=⫖↰⪸7190","layer":3},{"info":"⫖↰⪸0⪍↜⋙⫖↰⪸7190=⫖↰⪸-128B3","layer":2},{"info":"⫖↰⪸-1208⨸⪁⫖↰⪸-128B3=⫖↰⪸-279BA","layer":1},{"info":"⫖↰⪸1354∳⫺⫖↰⪸1417=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸1937≠≀⫖↰⪸744=⫖↰⪸-3458","layer":3},{"info":"⫖↰⪸-198⫣⪄⊒⫖↰⪸-3458=⫖↰⪸114","layer":2},{"info":"∑⇻≧⫖↰⪸114=⫖↰⪸-5B0","layer":1},{"info":"⫖↰⪸-279BA⪉⨛⫖↰⪸-5B0=⫖↰⪸-79A87","layer":0}]}
{"id":759,"expression_no_base_symbol":"(((⩷$1618$)∙∹∝($1494$⇟⨁⪰))⪕(⫟$2174$)⪮%⊝(⨣⨃⇪$6160$))⨪↰⇹(⨈⫕$1036$)≎⪠($4288$∊∟⩊$1441$)∼(($1339$⊘)⨌↪)","expression":"(((⩷⫖↰⪸B2A)∙∹∝(⫖↰⪸A46⇟⨁⪰))⪕(⫟⫖↰⪸1312)⪮%⊝(⨣⨃⇪⫖↰⪸3694))⨪↰⇹(⨈⫕⫖↰⪸724)≎⪠(⫖↰⪸2594∊∟⩊⫖↰⪸A01)∼((⫖↰⪸937⊘)⨌↪)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":22879,"operation_count":14,"complexity_ratio":1634.2142857142858,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1618,"base":12}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1494,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2174,"base":12}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":6160,"base":12}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1036,"base":12}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4288,"base":12},"right_expr":{"type":"numeric_atoms","value":1441,"base":12}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1339,"base":12}}}}},"used_operators":["tmPS8pqC7x","umQnsF7QlU","HmxsFra2vL","1h0rLqGiFr","BX1lVwlMe0","IWmyXbctLI","z4E1FaHLuy","AcOhelriW5","DyGG3AbaNP","aNhz54LH3e","megm06wKyl","ddLRYrp01A","cWQsF5MvuD","gu96TGCTMs"],"dependent_operators":["rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫖↰⪸65B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":4},{"info":"compute unary expreesion, input=1618, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-19495","layer":3},{"info":"number node, value=1494","layer":4},{"info":"compute unary expreesion, input=1494, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1668","layer":3},{"info":"compute binary expreesion, left_input=-19495, right_input=-1668, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, 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=-5615","layer":3},{"info":"number node, value=6160","layer":4},{"info":"compute unary expreesion, input=6160, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-5615, right_input=1405, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-10914","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-10914, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=4288","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=4288, right_input=1441, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1441","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1441, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-480, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=935","layer":0}],"base":12,"result_base":12,"text":"(((⩷⫖↰⪸B2A)∙∹∝(⫖↰⪸A46⇟⨁⪰))⪕(⫟⫖↰⪸1312)⪮%⊝(⨣⨃⇪⫖↰⪸3694))⨪↰⇹(⨈⫕⫖↰⪸724)≎⪠(⫖↰⪸2594∊∟⩊⫖↰⪸A01)∼((⫖↰⪸937⊘)⨌↪)=⫖↰⪸65B","reverse_text":"⫖↰⪸65B=(((⩷⫖↰⪸B2A)∙∹∝(⫖↰⪸A46⇟⨁⪰))⪕(⫟⫖↰⪸1312)⪮%⊝(⨣⨃⇪⫖↰⪸3694))⨪↰⇹(⨈⫕⫖↰⪸724)≎⪠(⫖↰⪸2594∊∟⩊⫖↰⪸A01)∼((⫖↰⪸937⊘)⨌↪)","cot":[{"info":"⩷⫖↰⪸B2A=⫖↰⪸-B347","layer":3},{"info":"⫖↰⪸A46⇟⨁⪰=⫖↰⪸-B70","layer":3},{"info":"⫖↰⪸-B347∙∹∝⫖↰⪸-B70=⫖↰⪸0","layer":2},{"info":"⫟⫖↰⪸1312=⫖↰⪸-32BB","layer":3},{"info":"⨣⨃⇪⫖↰⪸3694=⫖↰⪸991","layer":3},{"info":"⫖↰⪸-32BB⪮%⊝⫖↰⪸991=⫖↰⪸-6396","layer":2},{"info":"⫖↰⪸0⪕⫖↰⪸-6396=⫖↰⪸65B","layer":1},{"info":"⨈⫕⫖↰⪸724=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸2594∊∟⩊⫖↰⪸A01=⫖↰⪸A01","layer":3},{"info":"⫖↰⪸-19≎⪠⫖↰⪸A01=⫖↰⪸B39A","layer":2},{"info":"⫖↰⪸937⊘=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⨌↪=⫖↰⪸-340","layer":2},{"info":"⫖↰⪸B39A∼⫖↰⪸-340=⫖↰⪸0","layer":1},{"info":"⫖↰⪸65B⨪↰⇹⫖↰⪸0=⫖↰⪸65B","layer":0}]}
{"id":760,"expression_no_base_symbol":"((∑⇻≧$1677$⫢⨠$1460$)⪘⫢($1860$≄⊠$1479$⫲))≝⊰⇂","expression":"((∑⇻≧⫖↰⪸B79⫢⨠⫖↰⪸A18)⪘⫢(⫖↰⪸10B0≄⊠⫖↰⪸A33⫲))≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":150,"operation_count":6,"complexity_ratio":25.0,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1677,"base":12},"right_expr":{"type":"numeric_atoms","value":1460,"base":12}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1860,"base":12},"right_expr":{"type":"numeric_atoms","value":1479,"base":12}}}}},"used_operators":["htSmYCowi5","oacrs7FA3X","l1M9WJ3V7u","xlXykHWxX1","9xnGDUPbC6","vXNesLlMH1"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1677","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=1460, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1860","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=1479, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=28332","layer":3},{"info":"compute unary expreesion, input=28332, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=28059","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=28059, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-134","layer":0}],"base":12,"result_base":12,"text":"((∑⇻≧⫖↰⪸B79⫢⨠⫖↰⪸A18)⪘⫢(⫖↰⪸10B0≄⊠⫖↰⪸A33⫲))≝⊰⇂=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=((∑⇻≧⫖↰⪸B79⫢⨠⫖↰⪸A18)⪘⫢(⫖↰⪸10B0≄⊠⫖↰⪸A33⫲))≝⊰⇂","cot":[{"info":"⫖↰⪸B79⫢⨠⫖↰⪸A18=⫖↰⪸114","layer":3},{"info":"∑⇻≧⫖↰⪸114=⫖↰⪸-5B0","layer":2},{"info":"⫖↰⪸10B0≄⊠⫖↰⪸A33=⫖↰⪸14490","layer":3},{"info":"⫖↰⪸14490⫲=⫖↰⪸142A3","layer":2},{"info":"⫖↰⪸-5B0⪘⫢⫖↰⪸142A3=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0≝⊰⇂=⫖↰⪸-B2","layer":0}]}
{"id":761,"expression_no_base_symbol":"(($3825$⨼⩣$1562$⊍⩺⋍$2522$⊨$2383$)∠⫱($1183$≳⇉$5683$)∴$5003$⇻⋧≁$3626$)⩣⫁∢((⇋⊎⋝($5185$⋣⋖$1005$))⩹($1658$⋝⋈⪟$2371$∪⫐$4227$⩖⊿$1403$))","expression":"((⫖↰⪸2269⨼⩣⫖↰⪸AA2⊍⩺⋍⫖↰⪸1562⊨⫖↰⪸1467)∠⫱(⫖↰⪸827≳⇉⫖↰⪸3357)∴⫖↰⪸2A8B⇻⋧≁⫖↰⪸2122)⩣⫁∢((⇋⊎⋝(⫖↰⪸3001⋣⋖⫖↰⪸6B9))⩹(⫖↰⪸B62⋝⋈⪟⫖↰⪸1457∪⫐⫖↰⪸2543⩖⊿⫖↰⪸98B))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":423484468,"operation_count":14,"complexity_ratio":30248890.57142857,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3825,"base":12},"right_expr":{"type":"numeric_atoms","value":1562,"base":12}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2522,"base":12},"right_expr":{"type":"numeric_atoms","value":2383,"base":12}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1183,"base":12},"right_expr":{"type":"numeric_atoms","value":5683,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5003,"base":12},"right_expr":{"type":"numeric_atoms","value":3626,"base":12}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5185,"base":12},"right_expr":{"type":"numeric_atoms","value":1005,"base":12}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1658,"base":12},"right_expr":{"type":"numeric_atoms","value":2371,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4227,"base":12},"right_expr":{"type":"numeric_atoms","value":1403,"base":12}}}}},"used_operators":["JDUIKTTSIa","QvoQhV0rrE","OXDGMFPWZM","JxwMv5le6e","vg4gO5BX6G","hrf7POJlIJ","V0kx6qeWkN","jCPkEVoL5K","2Wsdkap16l","CzM2PEoXns","J0M6qkBnIM","7YooWSwCyH","2DDjHMKMc0","RZ5CV9rWsJ"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","dWAJyo7jo9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3825","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=3825, right_input=1562, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2522","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=2383, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=11119","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11119, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=5683","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=5683, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=5003","layer":4},{"info":"number node, value=3626","layer":4},{"info":"compute binary expreesion, left_input=5003, right_input=3626, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=5185","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=5185, right_input=1005, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5185","layer":3},{"info":"compute unary expreesion, input=5185, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1658","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=2371, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1658","layer":3},{"info":"number node, value=4227","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=4227, right_input=1403, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-5766","layer":3},{"info":"compute binary expreesion, left_input=1658, right_input=-5766, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1658","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1658, 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=1656","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1656, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2269⨼⩣⫖↰⪸AA2⊍⩺⋍⫖↰⪸1562⊨⫖↰⪸1467)∠⫱(⫖↰⪸827≳⇉⫖↰⪸3357)∴⫖↰⪸2A8B⇻⋧≁⫖↰⪸2122)⩣⫁∢((⇋⊎⋝(⫖↰⪸3001⋣⋖⫖↰⪸6B9))⩹(⫖↰⪸B62⋝⋈⪟⫖↰⪸1457∪⫐⫖↰⪸2543⩖⊿⫖↰⪸98B))=NaN","reverse_text":"NaN=((⫖↰⪸2269⨼⩣⫖↰⪸AA2⊍⩺⋍⫖↰⪸1562⊨⫖↰⪸1467)∠⫱(⫖↰⪸827≳⇉⫖↰⪸3357)∴⫖↰⪸2A8B⇻⋧≁⫖↰⪸2122)⩣⫁∢((⇋⊎⋝(⫖↰⪸3001⋣⋖⫖↰⪸6B9))⩹(⫖↰⪸B62⋝⋈⪟⫖↰⪸1457∪⫐⫖↰⪸2543⩖⊿⫖↰⪸98B))","cot":[{"info":"⫖↰⪸2269⨼⩣⫖↰⪸AA2=NaN","layer":3},{"info":"⫖↰⪸1562⊨⫖↰⪸1467=⫖↰⪸6527","layer":3},{"info":"NaN⊍⩺⋍⫖↰⪸6527=NaN","layer":2},{"info":"⫖↰⪸827≳⇉⫖↰⪸3357=NaN","layer":3},{"info":"⫖↰⪸2A8B⇻⋧≁⫖↰⪸2122=⫖↰⪸-313","layer":3},{"info":"NaN∴⫖↰⪸-313=NaN","layer":2},{"info":"NaN∠⫱NaN=NaN","layer":1},{"info":"⫖↰⪸3001⋣⋖⫖↰⪸6B9=⫖↰⪸3001","layer":3},{"info":"⇋⊎⋝⫖↰⪸3001=NaN","layer":2},{"info":"⫖↰⪸B62⋝⋈⪟⫖↰⪸1457=⫖↰⪸B62","layer":3},{"info":"⫖↰⪸2543⩖⊿⫖↰⪸98B=⫖↰⪸-3406","layer":3},{"info":"⫖↰⪸B62∪⫐⫖↰⪸-3406=⫖↰⪸B62","layer":2},{"info":"NaN⩹⫖↰⪸B62=⫖↰⪸B60","layer":1},{"info":"NaN⩣⫁∢⫖↰⪸B60=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"(⩦⩻⨪(⇋⊎⋝$1008$))+⪬∐(($2853$⩇∃⫛$3965$)⪥($1062$⇯⋐))⊎←↗","expression":"(⩦⩻⨪(⇋⊎⋝⫖↰⪸700))+⪬∐((⫖↰⪸1799⩇∃⫛⫖↰⪸2365)⪥(⫖↰⪸746⇯⋐))⊎←↗","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1083,"operation_count":7,"complexity_ratio":154.71428571428572,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1008,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2853,"base":12},"right_expr":{"type":"numeric_atoms","value":3965,"base":12}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1062,"base":12}}}}},"used_operators":["dwb5p0fa6d","2GS7woTJqF","2td37pGCOC","CzM2PEoXns","QbnwKVWMIQ","1aApVXNlOP","LkLIoiE525"],"dependent_operators":["sdazOOVcIp","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=2853","layer":4},{"info":"number node, value=3965","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=3965, 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=1585","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4064","layer":3},{"info":"compute binary expreesion, left_input=1585, right_input=4064, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10992","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10992, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪(⇋⊎⋝⫖↰⪸700))+⪬∐((⫖↰⪸1799⩇∃⫛⫖↰⪸2365)⪥(⫖↰⪸746⇯⋐))⊎←↗=NaN","reverse_text":"NaN=(⩦⩻⨪(⇋⊎⋝⫖↰⪸700))+⪬∐((⫖↰⪸1799⩇∃⫛⫖↰⪸2365)⪥(⫖↰⪸746⇯⋐))⊎←↗","cot":[{"info":"⇋⊎⋝⫖↰⪸700=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⫖↰⪸1799⩇∃⫛⫖↰⪸2365=⫖↰⪸B01","layer":3},{"info":"⫖↰⪸746⇯⋐=⫖↰⪸2428","layer":3},{"info":"⫖↰⪸B01⪥⫖↰⪸2428=⫖↰⪸6440","layer":2},{"info":"NaN+⪬∐⫖↰⪸6440=NaN","layer":1},{"info":"NaN⊎←↗=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"((($1668$∀⋜↑)-($2462$⨝⩣∺))⩺⪪(⩒∊$3619$)∓⋝(⊑$1839$))⨐((↨⩢⫨($4818$∑⇟⊟$5677$))⩧⪆($3326$⫌⩉⩟$6822$)⨚⇆$1914$⫁$3433$)","expression":"(((⫖↰⪸B70∀⋜↑)-(⫖↰⪸1512⨝⩣∺))⩺⪪(⩒∊⫖↰⪸2117)∓⋝(⊑⫖↰⪸1093))⨐((↨⩢⫨(⫖↰⪸2956∑⇟⊟⫖↰⪸3351))⩧⪆(⫖↰⪸1B12⫌⩉⩟⫖↰⪸3B46)⨚⇆⫖↰⪸1136⫁⫖↰⪸1BA1)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":42103,"operation_count":14,"complexity_ratio":3007.3571428571427,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1668,"base":12}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2462,"base":12}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3619,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1839,"base":12}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4818,"base":12},"right_expr":{"type":"numeric_atoms","value":5677,"base":12}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3326,"base":12},"right_expr":{"type":"numeric_atoms","value":6822,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1914,"base":12},"right_expr":{"type":"numeric_atoms","value":3433,"base":12}}}}},"used_operators":["Noe24qw2ks","uvdQJvN4PV","rysDP5nf3Z","KipPnG1M2J","ancx8kZcWl","PoHhknlbAi","qazvmhNBbN","IkUmn0D7oy","Ikt5ks8PT7","Z5CJsN7DuW","U7g4x0WXJJ","lwHaAYXP2r","XIIwhv8d0m","0ajvFaJAv0"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","DZ8iAZOCBD","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eewbuw0ToL","t8gj7n24qd","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⫖↰⪸106858","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-4924","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=-4924, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4440","layer":2},{"info":"number node, value=3619","layer":4},{"info":"compute unary expreesion, input=3619, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=6481","layer":3},{"info":"number node, value=1839","layer":4},{"info":"compute unary expreesion, input=1839, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=6481, right_input=192, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3642","layer":2},{"info":"compute binary expreesion, left_input=4440, right_input=-3642, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-130210","layer":1},{"info":"number node, value=4818","layer":4},{"info":"number node, value=5677","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=5677, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=3326","layer":4},{"info":"number node, value=6822","layer":4},{"info":"compute binary expreesion, left_input=3326, right_input=6822, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=3433","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=3433, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=160, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-130210, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=260420","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸B70∀⋜↑)-(⫖↰⪸1512⨝⩣∺))⩺⪪(⩒∊⫖↰⪸2117)∓⋝(⊑⫖↰⪸1093))⨐((↨⩢⫨(⫖↰⪸2956∑⇟⊟⫖↰⪸3351))⩧⪆(⫖↰⪸1B12⫌⩉⩟⫖↰⪸3B46)⨚⇆⫖↰⪸1136⫁⫖↰⪸1BA1)=⫖↰⪸106858","reverse_text":"⫖↰⪸106858=(((⫖↰⪸B70∀⋜↑)-(⫖↰⪸1512⨝⩣∺))⩺⪪(⩒∊⫖↰⪸2117)∓⋝(⊑⫖↰⪸1093))⨐((↨⩢⫨(⫖↰⪸2956∑⇟⊟⫖↰⪸3351))⩧⪆(⫖↰⪸1B12⫌⩉⩟⫖↰⪸3B46)⨚⇆⫖↰⪸1136⫁⫖↰⪸1BA1)","cot":[{"info":"⫖↰⪸B70∀⋜↑=⫖↰⪸-344","layer":3},{"info":"⫖↰⪸1512⨝⩣∺=⫖↰⪸-2A24","layer":3},{"info":"⫖↰⪸-344-⫖↰⪸-2A24=⫖↰⪸26A0","layer":2},{"info":"⩒∊⫖↰⪸2117=⫖↰⪸3901","layer":3},{"info":"⊑⫖↰⪸1093=⫖↰⪸140","layer":3},{"info":"⫖↰⪸3901∓⋝⫖↰⪸140=⫖↰⪸-2136","layer":2},{"info":"⫖↰⪸26A0⩺⪪⫖↰⪸-2136=⫖↰⪸-6342A","layer":1},{"info":"⫖↰⪸2956∑⇟⊟⫖↰⪸3351=NaN","layer":3},{"info":"↨⩢⫨NaN=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1B12⫌⩉⩟⫖↰⪸3B46=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸1136⫁⫖↰⪸1BA1=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-42⨚⇆⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸0⩧⪆NaN=NaN","layer":1},{"info":"⫖↰⪸-6342A⨐NaN=⫖↰⪸106858","layer":0}]}
{"id":764,"expression_no_base_symbol":"((⪛⨧$8773$)⊉↱≁($4973$≒∊$5454$)⋭≵($1949$⋝⋈⪟$1458$)⇍⊗($4593$∝$1608$))∛(($1018$⋝⋈⪟$3929$)⨜⨶$2540$≌$6962$⫢⨠($2100$⇄$1679$)∼($1559$⋻⩜⩜$5047$))","expression":"((⪛⨧⫖↰⪸50B1)⊉↱≁(⫖↰⪸2A65≒∊⫖↰⪸31A6)⋭≵(⫖↰⪸1165⋝⋈⪟⫖↰⪸A16)⇍⊗(⫖↰⪸27A9∝⫖↰⪸B20))∛((⫖↰⪸70A⋝⋈⪟⫖↰⪸2335)⨜⨶⫖↰⪸1578≌⫖↰⪸4042⫢⨠(⫖↰⪸1270⇄⫖↰⪸B7B)∼(⫖↰⪸A9B⋻⩜⩜⫖↰⪸2B07))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":78042,"operation_count":15,"complexity_ratio":5202.8,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":8773,"base":12}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4973,"base":12},"right_expr":{"type":"numeric_atoms","value":5454,"base":12}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1949,"base":12},"right_expr":{"type":"numeric_atoms","value":1458,"base":12}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4593,"base":12},"right_expr":{"type":"numeric_atoms","value":1608,"base":12}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1018,"base":12},"right_expr":{"type":"numeric_atoms","value":3929,"base":12}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2540,"base":12},"right_expr":{"type":"numeric_atoms","value":6962,"base":12}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2100,"base":12},"right_expr":{"type":"numeric_atoms","value":1679,"base":12}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1559,"base":12},"right_expr":{"type":"numeric_atoms","value":5047,"base":12}}}}},"used_operators":["w2537kitQq","jBncVCNhdl","w2P8NbNXyL","6NJAcO2OWT","5KTvxBwnZo","5uvYHDjeKN","2DDjHMKMc0","cTDWOvIxvz","xlXykHWxX1","HiPekx5b7W","lyWz822IDG","DyGG3AbaNP","3EYGwJThht","oDCm7WA9JY"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8773","layer":4},{"info":"compute unary expreesion, input=8773, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=18947","layer":3},{"info":"number node, value=4973","layer":4},{"info":"number node, value=5454","layer":4},{"info":"compute binary expreesion, left_input=4973, right_input=5454, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4489","layer":3},{"info":"compute binary expreesion, left_input=18947, right_input=-4489, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=216352","layer":2},{"info":"number node, value=1949","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=1458, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1949","layer":3},{"info":"number node, value=4593","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=4593, right_input=1608, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4598","layer":3},{"info":"compute binary expreesion, left_input=1949, right_input=4598, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=216352, right_input=-244, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=1018","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=3929, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1018","layer":3},{"info":"number node, value=2540","layer":4},{"info":"number node, value=6962","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=6962, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1018, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"number node, value=2100","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=2100, right_input=1679, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=5047, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3118","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3118, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⪛⨧⫖↰⪸50B1)⊉↱≁(⫖↰⪸2A65≒∊⫖↰⪸31A6)⋭≵(⫖↰⪸1165⋝⋈⪟⫖↰⪸A16)⇍⊗(⫖↰⪸27A9∝⫖↰⪸B20))∛((⫖↰⪸70A⋝⋈⪟⫖↰⪸2335)⨜⨶⫖↰⪸1578≌⫖↰⪸4042⫢⨠(⫖↰⪸1270⇄⫖↰⪸B7B)∼(⫖↰⪸A9B⋻⩜⩜⫖↰⪸2B07))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⪛⨧⫖↰⪸50B1)⊉↱≁(⫖↰⪸2A65≒∊⫖↰⪸31A6)⋭≵(⫖↰⪸1165⋝⋈⪟⫖↰⪸A16)⇍⊗(⫖↰⪸27A9∝⫖↰⪸B20))∛((⫖↰⪸70A⋝⋈⪟⫖↰⪸2335)⨜⨶⫖↰⪸1578≌⫖↰⪸4042⫢⨠(⫖↰⪸1270⇄⫖↰⪸B7B)∼(⫖↰⪸A9B⋻⩜⩜⫖↰⪸2B07))","cot":[{"info":"⪛⨧⫖↰⪸50B1=⫖↰⪸AB6B","layer":3},{"info":"⫖↰⪸2A65≒∊⫖↰⪸31A6=⫖↰⪸-2721","layer":3},{"info":"⫖↰⪸AB6B⊉↱≁⫖↰⪸-2721=⫖↰⪸A5254","layer":2},{"info":"⫖↰⪸1165⋝⋈⪟⫖↰⪸A16=⫖↰⪸1165","layer":3},{"info":"⫖↰⪸27A9∝⫖↰⪸B20=⫖↰⪸27B2","layer":3},{"info":"⫖↰⪸1165⇍⊗⫖↰⪸27B2=⫖↰⪸-184","layer":2},{"info":"⫖↰⪸A5254⋭≵⫖↰⪸-184=⫖↰⪸57","layer":1},{"info":"⫖↰⪸70A⋝⋈⪟⫖↰⪸2335=⫖↰⪸70A","layer":3},{"info":"⫖↰⪸1578≌⫖↰⪸4042=NaN","layer":3},{"info":"⫖↰⪸70A⨜⨶NaN=NaN","layer":2},{"info":"⫖↰⪸1270⇄⫖↰⪸B7B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A9B⋻⩜⩜⫖↰⪸2B07=⫖↰⪸197A","layer":3},{"info":"⫖↰⪸0∼⫖↰⪸197A=NaN","layer":2},{"info":"NaN⫢⨠NaN=NaN","layer":1},{"info":"⫖↰⪸57∛NaN=⫖↰⪸57","layer":0}]}
{"id":765,"expression_no_base_symbol":"⪲⇎(⪫⨮⊛(⨆≐≲($2200$/$2741$)))","expression":"⪲⇎(⪫⨮⊛(⨆≐≲(⫖↰⪸1334/⫖↰⪸1705)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3005093,"operation_count":4,"complexity_ratio":751273.25,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2200,"base":12},"right_expr":{"type":"numeric_atoms","value":2741,"base":12}}}}},"used_operators":["XPYlsWDdGa","w5FWba1tyO","Bi9z9uYZqW","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2200","layer":4},{"info":"number node, value=2741","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=2741, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":2},{"info":"compute unary expreesion, input=-166100, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⪲⇎(⪫⨮⊛(⨆≐≲(⫖↰⪸1334/⫖↰⪸1705)))=NaN","reverse_text":"NaN=⪲⇎(⪫⨮⊛(⨆≐≲(⫖↰⪸1334/⫖↰⪸1705)))","cot":[{"info":"⫖↰⪸1334/⫖↰⪸1705=⫖↰⪸0","layer":3},{"info":"⨆≐≲⫖↰⪸0=⫖↰⪸-80158","layer":2},{"info":"⪫⨮⊛⫖↰⪸-80158=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"(∓⪦(⇋↷($3132$≠≀$7542$)))⨸⪁(($4258$↳∿⪆$2107$)∋($3734$⩁⩘$7949$))⨸(⩩($1991$∇⊂⋱$1756$))","expression":"(∓⪦(⇋↷(⫖↰⪸1990≠≀⫖↰⪸4446)))⨸⪁((⫖↰⪸256A↳∿⪆⫖↰⪸1277)∋(⫖↰⪸21B2⩁⩘⫖↰⪸4725))⨸(⩩(⫖↰⪸119B∇⊂⋱⫖↰⪸1024))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7086,"operation_count":10,"complexity_ratio":708.6,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3132,"base":12},"right_expr":{"type":"numeric_atoms","value":7542,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4258,"base":12},"right_expr":{"type":"numeric_atoms","value":2107,"base":12}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3734,"base":12},"right_expr":{"type":"numeric_atoms","value":7949,"base":12}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1991,"base":12},"right_expr":{"type":"numeric_atoms","value":1756,"base":12}}}}},"used_operators":["g55IO6H4Gj","D309nIvmXG","SWo3A1KBJH","IwW236VD4Y","KmoU8R5UQR","ukq6epAj5P","Cw4SuJJGHO","gub5Cegaqo","kMhfGuqI2H","nhYeJWJD5X"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3132","layer":4},{"info":"number node, value=7542","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=7542, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5958","layer":3},{"info":"compute unary expreesion, input=-5958, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-23192","layer":2},{"info":"compute unary expreesion, input=-23192, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-48030","layer":1},{"info":"number node, value=4258","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=2107, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=3734","layer":4},{"info":"number node, value=7949","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=7949, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=32744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=32744, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"number node, value=1991","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=1756, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3436","layer":3},{"info":"compute unary expreesion, input=3436, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-48030, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∓⪦(⇋↷(⫖↰⪸1990≠≀⫖↰⪸4446)))⨸⪁((⫖↰⪸256A↳∿⪆⫖↰⪸1277)∋(⫖↰⪸21B2⩁⩘⫖↰⪸4725))⨸(⩩(⫖↰⪸119B∇⊂⋱⫖↰⪸1024))=NaN","reverse_text":"NaN=(∓⪦(⇋↷(⫖↰⪸1990≠≀⫖↰⪸4446)))⨸⪁((⫖↰⪸256A↳∿⪆⫖↰⪸1277)∋(⫖↰⪸21B2⩁⩘⫖↰⪸4725))⨸(⩩(⫖↰⪸119B∇⊂⋱⫖↰⪸1024))","cot":[{"info":"⫖↰⪸1990≠≀⫖↰⪸4446=⫖↰⪸-3546","layer":3},{"info":"⇋↷⫖↰⪸-3546=⫖↰⪸-11508","layer":2},{"info":"∓⪦⫖↰⪸-11508=⫖↰⪸-23966","layer":1},{"info":"⫖↰⪸256A↳∿⪆⫖↰⪸1277=NaN","layer":3},{"info":"⫖↰⪸21B2⩁⩘⫖↰⪸4725=⫖↰⪸16B48","layer":3},{"info":"NaN∋⫖↰⪸16B48=NaN","layer":2},{"info":"⫖↰⪸119B∇⊂⋱⫖↰⪸1024=⫖↰⪸1BA4","layer":3},{"info":"⩩⫖↰⪸1BA4=NaN","layer":2},{"info":"NaN⨸NaN=NaN","layer":1},{"info":"⫖↰⪸-23966⨸⪁NaN=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"($2806$⪮%⊝$3644$⊾⪯⋞($1104$⪚⩙≫)*(($6800$⪎↠$6270$)⨕⋳))↓($2975$⩧⪆$3062$≧⫂∧$3831$∛$3872$∲⫓($2205$⪨≂$1519$)∖$1426$+⪬∐$1292$)","expression":"(⫖↰⪸175A⪮%⊝⫖↰⪸2138⊾⪯⋞(⫖↰⪸780⪚⩙≫)*((⫖↰⪸3B28⪎↠⫖↰⪸3766)⨕⋳))↓(⫖↰⪸187B⩧⪆⫖↰⪸1932≧⫂∧⫖↰⪸2273∛⫖↰⪸22A8∲⫓(⫖↰⪸1339⪨≂⫖↰⪸A67)∖⫖↰⪸9AA+⪬∐⫖↰⪸8B8)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34246,"operation_count":14,"complexity_ratio":2446.1428571428573,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2806,"base":12},"right_expr":{"type":"numeric_atoms","value":3644,"base":12}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":1104,"base":12}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6800,"base":12},"right_expr":{"type":"numeric_atoms","value":6270,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2975,"base":12},"right_expr":{"type":"numeric_atoms","value":3062,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3831,"base":12},"right_expr":{"type":"numeric_atoms","value":3872,"base":12}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2205,"base":12},"right_expr":{"type":"numeric_atoms","value":1519,"base":12}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1426,"base":12},"right_expr":{"type":"numeric_atoms","value":1292,"base":12}}}}},"used_operators":["Af076pWI7l","9HNa5Wba9A","HK0tfVPux8","IWmyXbctLI","4n53wtyJvv","4X4GscPmMf","3tVxb0NHM4","i8ToyICDmI","Ph9nP6C5qx","Ikt5ks8PT7","w2537kitQq","tXD093vOjl","sdazOOVcIp","2GS7woTJqF"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2806","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=2806, right_input=3644, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5928","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5928, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=6800","layer":4},{"info":"number node, value=6270","layer":4},{"info":"compute binary expreesion, left_input=6800, right_input=6270, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-114394","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-114394, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2975","layer":4},{"info":"number node, value=3062","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=3062, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3062","layer":3},{"info":"number node, value=3831","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=3872, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-3062, right_input=-670, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-2392","layer":2},{"info":"number node, value=2205","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=1519, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1474","layer":3},{"info":"number node, value=1426","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=1292, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4278","layer":3},{"info":"compute binary expreesion, left_input=1474, right_input=-4278, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2392, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-2392","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2392, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸175A⪮%⊝⫖↰⪸2138⊾⪯⋞(⫖↰⪸780⪚⩙≫)*((⫖↰⪸3B28⪎↠⫖↰⪸3766)⨕⋳))↓(⫖↰⪸187B⩧⪆⫖↰⪸1932≧⫂∧⫖↰⪸2273∛⫖↰⪸22A8∲⫓(⫖↰⪸1339⪨≂⫖↰⪸A67)∖⫖↰⪸9AA+⪬∐⫖↰⪸8B8)=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=(⫖↰⪸175A⪮%⊝⫖↰⪸2138⊾⪯⋞(⫖↰⪸780⪚⩙≫)*((⫖↰⪸3B28⪎↠⫖↰⪸3766)⨕⋳))↓(⫖↰⪸187B⩧⪆⫖↰⪸1932≧⫂∧⫖↰⪸2273∛⫖↰⪸22A8∲⫓(⫖↰⪸1339⪨≂⫖↰⪸A67)∖⫖↰⪸9AA+⪬∐⫖↰⪸8B8)","cot":[{"info":"⫖↰⪸175A⪮%⊝⫖↰⪸2138=⫖↰⪸3520","layer":3},{"info":"⫖↰⪸780⪚⩙≫=NaN","layer":3},{"info":"⫖↰⪸3520⊾⪯⋞NaN=NaN","layer":2},{"info":"⫖↰⪸3B28⪎↠⫖↰⪸3766=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⨕⋳=⫖↰⪸-5624A","layer":2},{"info":"NaN*⫖↰⪸-5624A=NaN","layer":1},{"info":"⫖↰⪸187B⩧⪆⫖↰⪸1932=⫖↰⪸-1932","layer":3},{"info":"⫖↰⪸2273∛⫖↰⪸22A8=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸-1932≧⫂∧⫖↰⪸-47A=⫖↰⪸-1474","layer":2},{"info":"⫖↰⪸1339⪨≂⫖↰⪸A67=⫖↰⪸A2A","layer":3},{"info":"⫖↰⪸9AA+⪬∐⫖↰⪸8B8=⫖↰⪸-2586","layer":3},{"info":"⫖↰⪸A2A∖⫖↰⪸-2586=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-1474∲⫓⫖↰⪸0=⫖↰⪸-1474","layer":1},{"info":"NaN↓⫖↰⪸-1474=⫖↰⪸-B2","layer":0}]}
{"id":768,"expression_no_base_symbol":"($4478$⊲⩕⊾$2339$⋥≓≎$5506$≥⨤⩑$2918$)⩖⊿((∥⊫$3481$)⫢⨠(↽≂$4287$))∌↝((($3151$⩒⫫$3654$)⊋(⪝⪂⫅$5246$))⩉⊫⨁)","expression":"(⫖↰⪸2712⊲⩕⊾⫖↰⪸142B⋥≓≎⫖↰⪸322A≥⨤⩑⫖↰⪸1832)⩖⊿((∥⊫⫖↰⪸2021)⫢⨠(↽≂⫖↰⪸2593))∌↝(((⫖↰⪸19A7⩒⫫⫖↰⪸2146)⊋(⪝⪂⫅⫖↰⪸3052))⩉⊫⨁)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":382,"operation_count":12,"complexity_ratio":31.833333333333332,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4478,"base":12},"right_expr":{"type":"numeric_atoms","value":2339,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5506,"base":12},"right_expr":{"type":"numeric_atoms","value":2918,"base":12}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3481,"base":12}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4287,"base":12}}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3151,"base":12},"right_expr":{"type":"numeric_atoms","value":3654,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5246,"base":12}}}}},"used_operators":["9Isq31Ruls","RZ5CV9rWsJ","Qy55tPpLXF","DmTXOeWf9t","gJLn6v0xnP","xlXykHWxX1","P8v4zCKN1o","u6S6b8DprG","7qqUquhhSb","W4tP9CfskL","KFSx94NKJn","XTarYq4gQB"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸-30662","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4478","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=4478, right_input=2339, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-91668","layer":3},{"info":"number node, value=5506","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=5506, right_input=2918, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-91668, right_input=1234, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=3481","layer":4},{"info":"compute unary expreesion, input=3481, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4349","layer":3},{"info":"number node, value=4287","layer":4},{"info":"compute unary expreesion, input=4287, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8574","layer":3},{"info":"compute binary expreesion, left_input=4349, right_input=-8574, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=32530","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=32530, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-63146","layer":1},{"info":"number node, value=3151","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=3151, right_input=3654, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2849","layer":3},{"info":"number node, value=5246","layer":4},{"info":"compute unary expreesion, input=5246, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-771162","layer":3},{"info":"compute binary expreesion, left_input=2849, right_input=-771162, 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=-15428694","layer":2},{"info":"compute unary expreesion, input=-15428694, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-15428694","layer":1},{"info":"compute binary expreesion, left_input=-63146, right_input=-15428694, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-63146","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2712⊲⩕⊾⫖↰⪸142B⋥≓≎⫖↰⪸322A≥⨤⩑⫖↰⪸1832)⩖⊿((∥⊫⫖↰⪸2021)⫢⨠(↽≂⫖↰⪸2593))∌↝(((⫖↰⪸19A7⩒⫫⫖↰⪸2146)⊋(⪝⪂⫅⫖↰⪸3052))⩉⊫⨁)=⫖↰⪸-30662","reverse_text":"⫖↰⪸-30662=(⫖↰⪸2712⊲⩕⊾⫖↰⪸142B⋥≓≎⫖↰⪸322A≥⨤⩑⫖↰⪸1832)⩖⊿((∥⊫⫖↰⪸2021)⫢⨠(↽≂⫖↰⪸2593))∌↝(((⫖↰⪸19A7⩒⫫⫖↰⪸2146)⊋(⪝⪂⫅⫖↰⪸3052))⩉⊫⨁)","cot":[{"info":"⫖↰⪸2712⊲⩕⊾⫖↰⪸142B=⫖↰⪸-45070","layer":3},{"info":"⫖↰⪸322A≥⨤⩑⫖↰⪸1832=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-45070⋥≓≎⫖↰⪸86A=⫖↰⪸57","layer":2},{"info":"∥⊫⫖↰⪸2021=⫖↰⪸2625","layer":3},{"info":"↽≂⫖↰⪸2593=⫖↰⪸-4B66","layer":3},{"info":"⫖↰⪸2625⫢⨠⫖↰⪸-4B66=⫖↰⪸169AA","layer":2},{"info":"⫖↰⪸57⩖⊿⫖↰⪸169AA=⫖↰⪸-30662","layer":1},{"info":"⫖↰⪸19A7⩒⫫⫖↰⪸2146=⫖↰⪸1795","layer":3},{"info":"⪝⪂⫅⫖↰⪸3052=⫖↰⪸-312336","layer":3},{"info":"⫖↰⪸1795⊋⫖↰⪸-312336=⫖↰⪸-5200786","layer":2},{"info":"⫖↰⪸-5200786⩉⊫⨁=⫖↰⪸-5200786","layer":1},{"info":"⫖↰⪸-30662∌↝⫖↰⪸-5200786=⫖↰⪸-30662","layer":0}]}
{"id":769,"expression_no_base_symbol":"(∨∊⋏(($1640$∙⊟$1487$)⪄($1931$⪠⩆⊳)))⊭↱($4540$*$1819$)∘($2376$⇽⩪)∝($4721$⨭⪣$3085$)⇌⫙⪟($4596$∠↢$2471$)","expression":"(∨∊⋏((⫖↰⪸B48∙⊟⫖↰⪸A3B)⪄(⫖↰⪸114B⪠⩆⊳)))⊭↱(⫖↰⪸2764*⫖↰⪸1077)∘(⫖↰⪸1460⇽⩪)∝(⫖↰⪸2895⨭⪣⫖↰⪸1951)⇌⫙⪟(⫖↰⪸27B0∠↢⫖↰⪸151B)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19127,"operation_count":12,"complexity_ratio":1593.9166666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1640,"base":12},"right_expr":{"type":"numeric_atoms","value":1487,"base":12}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1931,"base":12}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4540,"base":12},"right_expr":{"type":"numeric_atoms","value":1819,"base":12}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":2376,"base":12}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4721,"base":12},"right_expr":{"type":"numeric_atoms","value":3085,"base":12}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4596,"base":12},"right_expr":{"type":"numeric_atoms","value":2471,"base":12}}}}},"used_operators":["COABgblf1C","R5aXW34M0v","SUmda5xLS4","SxTAKzQCrw","JLbD19bQDL","cTDWOvIxvz","Z5m6OM72h2","9HNa5Wba9A","FonBHBYJbU","AFVx7xoS7T","kn8WO9XteQ","KbjG8mgYpV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⫖↰⪸81603149","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1640","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=1487, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=31166","layer":3},{"info":"number node, value=1931","layer":4},{"info":"compute unary expreesion, input=1931, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=31166, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4608657","layer":2},{"info":"compute unary expreesion, input=-4608657, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-129052885","layer":1},{"info":"number node, value=4540","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=4540, right_input=1819, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8258260","layer":3},{"info":"number node, value=2376","layer":4},{"info":"compute unary expreesion, input=2376, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=5274","layer":3},{"info":"compute binary expreesion, left_input=8258260, right_input=5274, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=16516520","layer":2},{"info":"number node, value=4721","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=3085, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3442","layer":3},{"info":"number node, value=4596","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=4596, right_input=2471, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-51896","layer":3},{"info":"compute binary expreesion, left_input=3442, right_input=-51896, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=252632","layer":2},{"info":"compute binary expreesion, left_input=16516520, right_input=252632, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=16516525","layer":1},{"info":"compute binary expreesion, left_input=-129052885, right_input=16516525, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=291138825","layer":0}],"base":12,"result_base":12,"text":"(∨∊⋏((⫖↰⪸B48∙⊟⫖↰⪸A3B)⪄(⫖↰⪸114B⪠⩆⊳)))⊭↱(⫖↰⪸2764*⫖↰⪸1077)∘(⫖↰⪸1460⇽⩪)∝(⫖↰⪸2895⨭⪣⫖↰⪸1951)⇌⫙⪟(⫖↰⪸27B0∠↢⫖↰⪸151B)=⫖↰⪸81603149","reverse_text":"⫖↰⪸81603149=(∨∊⋏((⫖↰⪸B48∙⊟⫖↰⪸A3B)⪄(⫖↰⪸114B⪠⩆⊳)))⊭↱(⫖↰⪸2764*⫖↰⪸1077)∘(⫖↰⪸1460⇽⩪)∝(⫖↰⪸2895⨭⪣⫖↰⪸1951)⇌⫙⪟(⫖↰⪸27B0∠↢⫖↰⪸151B)","cot":[{"info":"⫖↰⪸B48∙⊟⫖↰⪸A3B=⫖↰⪸16052","layer":3},{"info":"⫖↰⪸114B⪠⩆⊳=⫖↰⪸0","layer":3},{"info":"⫖↰⪸16052⪄⫖↰⪸0=⫖↰⪸-1663069","layer":2},{"info":"∨∊⋏⫖↰⪸-1663069=⫖↰⪸-37277471","layer":1},{"info":"⫖↰⪸2764*⫖↰⪸1077=⫖↰⪸2923104","layer":3},{"info":"⫖↰⪸1460⇽⩪=⫖↰⪸3076","layer":3},{"info":"⫖↰⪸2923104∘⫖↰⪸3076=⫖↰⪸5646208","layer":2},{"info":"⫖↰⪸2895⨭⪣⫖↰⪸1951=⫖↰⪸1BAA","layer":3},{"info":"⫖↰⪸27B0∠↢⫖↰⪸151B=⫖↰⪸-26048","layer":3},{"info":"⫖↰⪸1BAA⇌⫙⪟⫖↰⪸-26048=⫖↰⪸102248","layer":2},{"info":"⫖↰⪸5646208∝⫖↰⪸102248=⫖↰⪸5646211","layer":1},{"info":"⫖↰⪸-37277471⊭↱⫖↰⪸5646211=⫖↰⪸81603149","layer":0}]}
{"id":770,"expression_no_base_symbol":"∂(($1827$⨵⪆$1195$)⊉↱≁(⫇$2368$))⇤((↥$8514$)⊬⨰($1486$⪭$3150$))","expression":"∂((⫖↰⪸1083⨵⪆⫖↰⪸837)⊉↱≁(⫇⫖↰⪸1454))⇤((↥⫖↰⪸4B16)⊬⨰(⫖↰⪸A3A⪭⫖↰⪸19A6))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":658,"operation_count":8,"complexity_ratio":82.25,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1827,"base":12},"right_expr":{"type":"numeric_atoms","value":1195,"base":12}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2368,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":8514,"base":12}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1486,"base":12},"right_expr":{"type":"numeric_atoms","value":3150,"base":12}}}}},"used_operators":["Uaa54Peajs","YSKBFp38Pu","w2P8NbNXyL","2DQ55sFlQl","YjI8oCXuph","s3Fd5m9Dh2","A8NUZmVepG","j9kHMeSvPp"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN"],"result":"⫖↰⪸541B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1827","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=1195, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2368","layer":4},{"info":"compute unary expreesion, input=2368, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3522","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3522, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=22680","layer":2},{"info":"number node, value=8514","layer":4},{"info":"compute unary expreesion, input=8514, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=3150, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=48, right_input=5, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=116","layer":2},{"info":"compute binary expreesion, left_input=22680, right_input=116, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-111132","layer":1},{"info":"compute unary expreesion, input=-111132, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=110868","layer":0}],"base":12,"result_base":12,"text":"∂((⫖↰⪸1083⨵⪆⫖↰⪸837)⊉↱≁(⫇⫖↰⪸1454))⇤((↥⫖↰⪸4B16)⊬⨰(⫖↰⪸A3A⪭⫖↰⪸19A6))=⫖↰⪸541B0","reverse_text":"⫖↰⪸541B0=∂((⫖↰⪸1083⨵⪆⫖↰⪸837)⊉↱≁(⫇⫖↰⪸1454))⇤((↥⫖↰⪸4B16)⊬⨰(⫖↰⪸A3A⪭⫖↰⪸19A6))","cot":[{"info":"⫖↰⪸1083⨵⪆⫖↰⪸837=⫖↰⪸114","layer":3},{"info":"⫇⫖↰⪸1454=⫖↰⪸-2056","layer":3},{"info":"⫖↰⪸114⊉↱≁⫖↰⪸-2056=⫖↰⪸11160","layer":2},{"info":"↥⫖↰⪸4B16=⫖↰⪸40","layer":3},{"info":"⫖↰⪸A3A⪭⫖↰⪸19A6=⫖↰⪸5","layer":3},{"info":"⫖↰⪸40⊬⨰⫖↰⪸5=⫖↰⪸98","layer":2},{"info":"⫖↰⪸11160⇤⫖↰⪸98=⫖↰⪸-54390","layer":1},{"info":"∂⫖↰⪸-54390=⫖↰⪸541B0","layer":0}]}
{"id":771,"expression_no_base_symbol":"⩪∧⨌(+⊝⨔($3659$⊿∆)↢(⨩∲⋌$3045$))","expression":"⩪∧⨌(+⊝⨔(⫖↰⪸214B⊿∆)↢(⨩∲⋌⫖↰⪸1919))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":47,"operation_count":5,"complexity_ratio":9.4,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":3659,"base":12}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3045,"base":12}}}}},"used_operators":["6iOiAJX1F8","DhbWaqg5eL","WR6HLWljOP","fv3ZujxkQL","aSik1wnThz"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"⫖↰⪸8984","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3659","layer":4},{"info":"compute unary expreesion, input=3659, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-7439","layer":3},{"info":"number node, value=3045","layer":4},{"info":"compute unary expreesion, input=3045, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3568","layer":3},{"info":"compute binary expreesion, left_input=-7439, right_input=-3568, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-22014","layer":2},{"info":"compute unary expreesion, input=-22014, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=15220","layer":0}],"base":12,"result_base":12,"text":"⩪∧⨌(+⊝⨔(⫖↰⪸214B⊿∆)↢(⨩∲⋌⫖↰⪸1919))=⫖↰⪸8984","reverse_text":"⫖↰⪸8984=⩪∧⨌(+⊝⨔(⫖↰⪸214B⊿∆)↢(⨩∲⋌⫖↰⪸1919))","cot":[{"info":"⫖↰⪸214B⊿∆=⫖↰⪸-437B","layer":3},{"info":"⨩∲⋌⫖↰⪸1919=⫖↰⪸-2094","layer":3},{"info":"⫖↰⪸-437B↢⫖↰⪸-2094=⫖↰⪸-108A6","layer":2},{"info":"+⊝⨔⫖↰⪸-108A6=⫖↰⪸A6A","layer":1},{"info":"⩪∧⨌⫖↰⪸A6A=⫖↰⪸8984","layer":0}]}
{"id":772,"expression_no_base_symbol":"(≻⋜(($3282$⪒$3646$)⩺⪪$1839$⪍↜⋙$2766$))≁↽≥((($4315$⫌⩉⩟$6913$)⊉≛↸(⩎⋉$1015$))⪚($1112$⫁$2306$⊉≛↸$2208$⇣⩺⋵$1308$))","expression":"(≻⋜((⫖↰⪸1A96⪒⫖↰⪸213A)⩺⪪⫖↰⪸1093⪍↜⋙⫖↰⪸1726))≁↽≥(((⫖↰⪸25B7⫌⩉⩟⫖↰⪸4001)⊉≛↸(⩎⋉⫖↰⪸707))⪚(⫖↰⪸788⫁⫖↰⪸1402⊉≛↸⫖↰⪸1340⇣⩺⋵⫖↰⪸910))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1142653,"operation_count":12,"complexity_ratio":95221.08333333333,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3282,"base":12},"right_expr":{"type":"numeric_atoms","value":3646,"base":12}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1839,"base":12},"right_expr":{"type":"numeric_atoms","value":2766,"base":12}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4315,"base":12},"right_expr":{"type":"numeric_atoms","value":6913,"base":12}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1015,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1112,"base":12},"right_expr":{"type":"numeric_atoms","value":2306,"base":12}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2208,"base":12},"right_expr":{"type":"numeric_atoms","value":1308,"base":12}}}}},"used_operators":["ncHt1X6cMc","3tj9sqzovi","uvdQJvN4PV","f6k1SAg4EE","L05ObWFQCd","HrjLwUk87U","DZ8iAZOCBD","XIIwhv8d0m","FlXk3pOYe8","0ajvFaJAv0","F4yD0voBRQ"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⫖↰⪸144","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3282","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=3282, right_input=3646, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6928","layer":3},{"info":"number node, value=1839","layer":4},{"info":"number node, value=2766","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=2766, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-15510","layer":3},{"info":"compute binary expreesion, left_input=-6928, right_input=-15510, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-138210","layer":2},{"info":"compute unary expreesion, input=-138210, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=4315","layer":4},{"info":"number node, value=6913","layer":4},{"info":"compute binary expreesion, left_input=4315, right_input=6913, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=1650, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-100","layer":2},{"info":"number node, value=1112","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=2306, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=1308, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-260, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":2},{"info":"compute binary expreesion, left_input=-100, right_input=320, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1196, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":12,"result_base":12,"text":"(≻⋜((⫖↰⪸1A96⪒⫖↰⪸213A)⩺⪪⫖↰⪸1093⪍↜⋙⫖↰⪸1726))≁↽≥(((⫖↰⪸25B7⫌⩉⩟⫖↰⪸4001)⊉≛↸(⩎⋉⫖↰⪸707))⪚(⫖↰⪸788⫁⫖↰⪸1402⊉≛↸⫖↰⪸1340⇣⩺⋵⫖↰⪸910))=⫖↰⪸144","reverse_text":"⫖↰⪸144=(≻⋜((⫖↰⪸1A96⪒⫖↰⪸213A)⩺⪪⫖↰⪸1093⪍↜⋙⫖↰⪸1726))≁↽≥(((⫖↰⪸25B7⫌⩉⩟⫖↰⪸4001)⊉≛↸(⩎⋉⫖↰⪸707))⪚(⫖↰⪸788⫁⫖↰⪸1402⊉≛↸⫖↰⪸1340⇣⩺⋵⫖↰⪸910))","cot":[{"info":"⫖↰⪸1A96⪒⫖↰⪸213A=⫖↰⪸-4014","layer":3},{"info":"⫖↰⪸1093⪍↜⋙⫖↰⪸1726=⫖↰⪸-8B86","layer":3},{"info":"⫖↰⪸-4014⩺⪪⫖↰⪸-8B86=⫖↰⪸-67B96","layer":2},{"info":"≻⋜⫖↰⪸-67B96=NaN","layer":1},{"info":"⫖↰⪸25B7⫌⩉⩟⫖↰⪸4001=⫖↰⪸-42","layer":3},{"info":"⩎⋉⫖↰⪸707=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸-42⊉≛↸⫖↰⪸B56=⫖↰⪸-84","layer":2},{"info":"⫖↰⪸788⫁⫖↰⪸1402=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1340⇣⩺⋵⫖↰⪸910=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸114⊉≛↸⫖↰⪸-198=⫖↰⪸228","layer":2},{"info":"⫖↰⪸-84⪚⫖↰⪸228=⫖↰⪸-838","layer":1},{"info":"NaN≁↽≥⫖↰⪸-838=⫖↰⪸144","layer":0}]}
{"id":773,"expression_no_base_symbol":"(($1799$≧⫂∧$3521$)⨔⇊($1117$∑⇟⊟$4322$)⫳≱↱($4083$⩏)∛$1581$⪥$1486$)⨽($1807$⊴⇁⪶)⨔⇊($5614$↛⩡⫤)⫯⪬∳($5298$⊹∫⫚$4549$∠↢$1143$≎⊠⪸$1347$)","expression":"((⫖↰⪸105B≧⫂∧⫖↰⪸2055)⨔⇊(⫖↰⪸791∑⇟⊟⫖↰⪸2602)⫳≱↱(⫖↰⪸2443⩏)∛⫖↰⪸AB9⪥⫖↰⪸A3A)⨽(⫖↰⪸1067⊴⇁⪶)⨔⇊(⫖↰⪸32BA↛⩡⫤)⫯⪬∳(⫖↰⪸3096⊹∫⫚⫖↰⪸2771∠↢⫖↰⪸7B3≎⊠⪸⫖↰⪸943)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20029,"operation_count":15,"complexity_ratio":1335.2666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1799,"base":12},"right_expr":{"type":"numeric_atoms","value":3521,"base":12}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1117,"base":12},"right_expr":{"type":"numeric_atoms","value":4322,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":4083,"base":12}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1581,"base":12},"right_expr":{"type":"numeric_atoms","value":1486,"base":12}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1807,"base":12}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5614,"base":12}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5298,"base":12},"right_expr":{"type":"numeric_atoms","value":4549,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1143,"base":12},"right_expr":{"type":"numeric_atoms","value":1347,"base":12}}}}},"used_operators":["8HhzD0ZcuI","ZvLB05nZmT","JclMnS0uGI","Ph9nP6C5qx","U7g4x0WXJJ","w2537kitQq","iA2gmKZ3Wj","QbnwKVWMIQ","d7ASUq0ydm","oo9mF6JIpo","FU0Cs4j7VP","KbjG8mgYpV","uWAJUKEvyW","bJkvcejdHO"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","z6LnFrNh4i","Tcnh7f0tEr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1799","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=3521, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3048","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=4322","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=4322, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3048, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"number node, value=4083","layer":4},{"info":"compute unary expreesion, input=4083, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=1486, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10976","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10976, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"number node, value=1807","layer":4},{"info":"compute unary expreesion, input=1807, 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=32076","layer":3},{"info":"number node, value=5614","layer":4},{"info":"compute unary expreesion, input=5614, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-843803","layer":3},{"info":"compute binary expreesion, left_input=32076, right_input=-843803, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=5298","layer":4},{"info":"number node, value=4549","layer":4},{"info":"compute binary expreesion, left_input=5298, right_input=4549, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-20","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1347, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=295564","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=295564, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-4136734","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-4136734, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=268","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=268, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸105B≧⫂∧⫖↰⪸2055)⨔⇊(⫖↰⪸791∑⇟⊟⫖↰⪸2602)⫳≱↱(⫖↰⪸2443⩏)∛⫖↰⪸AB9⪥⫖↰⪸A3A)⨽(⫖↰⪸1067⊴⇁⪶)⨔⇊(⫖↰⪸32BA↛⩡⫤)⫯⪬∳(⫖↰⪸3096⊹∫⫚⫖↰⪸2771∠↢⫖↰⪸7B3≎⊠⪸⫖↰⪸943)=NaN","reverse_text":"NaN=((⫖↰⪸105B≧⫂∧⫖↰⪸2055)⨔⇊(⫖↰⪸791∑⇟⊟⫖↰⪸2602)⫳≱↱(⫖↰⪸2443⩏)∛⫖↰⪸AB9⪥⫖↰⪸A3A)⨽(⫖↰⪸1067⊴⇁⪶)⨔⇊(⫖↰⪸32BA↛⩡⫤)⫯⪬∳(⫖↰⪸3096⊹∫⫚⫖↰⪸2771∠↢⫖↰⪸7B3≎⊠⪸⫖↰⪸943)","cot":[{"info":"⫖↰⪸105B≧⫂∧⫖↰⪸2055=⫖↰⪸1920","layer":3},{"info":"⫖↰⪸791∑⇟⊟⫖↰⪸2602=NaN","layer":3},{"info":"⫖↰⪸1920⨔⇊NaN=NaN","layer":2},{"info":"⫖↰⪸2443⩏=⫖↰⪸0","layer":3},{"info":"⫖↰⪸AB9⪥⫖↰⪸A3A=⫖↰⪸6428","layer":3},{"info":"⫖↰⪸0∛⫖↰⪸6428=⫖↰⪸-484","layer":2},{"info":"NaN⫳≱↱⫖↰⪸-484=NaN","layer":1},{"info":"⫖↰⪸1067⊴⇁⪶=⫖↰⪸16690","layer":3},{"info":"⫖↰⪸32BA↛⩡⫤=⫖↰⪸-34838B","layer":3},{"info":"⫖↰⪸16690⨔⇊⫖↰⪸-34838B=⫖↰⪸57","layer":2},{"info":"⫖↰⪸3096⊹∫⫚⫖↰⪸2771=⫖↰⪸-18","layer":3},{"info":"⫖↰⪸7B3≎⊠⪸⫖↰⪸943=⫖↰⪸123064","layer":3},{"info":"⫖↰⪸-18∠↢⫖↰⪸123064=⫖↰⪸-1475B3A","layer":2},{"info":"⫖↰⪸57⫯⪬∳⫖↰⪸-1475B3A=⫖↰⪸1A4","layer":1},{"info":"NaN⨽⫖↰⪸1A4=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"(∥⊫$5874$⋣⋖$1271$⩧⪆$4385$⨐$2229$)↤⩊((⇙⪊(↨$4855$))⋷($8141$⨪↰⇹$2184$)⨚(⨵≀≌$4369$))","expression":"(∥⊫⫖↰⪸3496⋣⋖⫖↰⪸89B⩧⪆⫖↰⪸2655⨐⫖↰⪸1359)↤⩊((⇙⪊(↨⫖↰⪸2987))⋷(⫖↰⪸4865⨪↰⇹⫖↰⪸1320)⨚(⨵≀≌⫖↰⪸2641))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8509,"operation_count":11,"complexity_ratio":773.5454545454545,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5874,"base":12},"right_expr":{"type":"numeric_atoms","value":1271,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4385,"base":12},"right_expr":{"type":"numeric_atoms","value":2229,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":4855,"base":12}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8141,"base":12},"right_expr":{"type":"numeric_atoms","value":2184,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4369,"base":12}}}}},"used_operators":["13rbtpv6ld","P8v4zCKN1o","Ikt5ks8PT7","J0M6qkBnIM","Noe24qw2ks","23Mk6UjR3U","pB6Fcnrjim","jiX4gk2v2Q","nREPSIbpBE","tmPS8pqC7x","srAu1WTS94"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rGHVDoGpnC","oZj3VtZNQx","BjRHVeLaeN","12rbrZMWeM","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5874","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=5874, right_input=1271, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5874","layer":3},{"info":"number node, value=4385","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=4385, right_input=2229, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8770","layer":3},{"info":"compute binary expreesion, left_input=5874, right_input=-8770, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=8770","layer":2},{"info":"compute unary expreesion, input=8770, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9638","layer":1},{"info":"number node, value=4855","layer":4},{"info":"compute unary expreesion, input=4855, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=8141","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=8141, right_input=2184, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8141","layer":3},{"info":"number node, value=4369","layer":4},{"info":"compute unary expreesion, input=4369, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13107","layer":3},{"info":"compute binary expreesion, left_input=8141, right_input=-13107, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=69644","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=69644, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9638, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∥⊫⫖↰⪸3496⋣⋖⫖↰⪸89B⩧⪆⫖↰⪸2655⨐⫖↰⪸1359)↤⩊((⇙⪊(↨⫖↰⪸2987))⋷(⫖↰⪸4865⨪↰⇹⫖↰⪸1320)⨚(⨵≀≌⫖↰⪸2641))=NaN","reverse_text":"NaN=(∥⊫⫖↰⪸3496⋣⋖⫖↰⪸89B⩧⪆⫖↰⪸2655⨐⫖↰⪸1359)↤⩊((⇙⪊(↨⫖↰⪸2987))⋷(⫖↰⪸4865⨪↰⇹⫖↰⪸1320)⨚(⨵≀≌⫖↰⪸2641))","cot":[{"info":"⫖↰⪸3496⋣⋖⫖↰⪸89B=⫖↰⪸3496","layer":3},{"info":"⫖↰⪸2655⨐⫖↰⪸1359=⫖↰⪸-50AA","layer":3},{"info":"⫖↰⪸3496⩧⪆⫖↰⪸-50AA=⫖↰⪸50AA","layer":2},{"info":"∥⊫⫖↰⪸50AA=⫖↰⪸56B2","layer":1},{"info":"↨⫖↰⪸2987=NaN","layer":3},{"info":"⇙⪊NaN=NaN","layer":2},{"info":"⫖↰⪸4865⨪↰⇹⫖↰⪸1320=⫖↰⪸4865","layer":3},{"info":"⨵≀≌⫖↰⪸2641=⫖↰⪸-7703","layer":3},{"info":"⫖↰⪸4865⨚⫖↰⪸-7703=⫖↰⪸34378","layer":2},{"info":"NaN⋷⫖↰⪸34378=NaN","layer":1},{"info":"⫖↰⪸56B2↤⩊NaN=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"≅≯⇸(≉(∂⩏⊆$4309$))⇂≾⫗($4455$⊹∫⫚$7302$⩹$4218$≃$2341$)","expression":"≅≯⇸(≉(∂⩏⊆⫖↰⪸25B1))⇂≾⫗(⫖↰⪸26B3⊹∫⫚⫖↰⪸4286⩹⫖↰⪸2536≃⫖↰⪸1431)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":205,"operation_count":7,"complexity_ratio":29.285714285714285,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4309,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4455,"base":12},"right_expr":{"type":"numeric_atoms","value":7302,"base":12}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4218,"base":12},"right_expr":{"type":"numeric_atoms","value":2341,"base":12}}}}},"used_operators":["apS25hmuAe","aBQ6xLxuTc","e1ybzncUwg","8WDwsbhb0R","2Wsdkap16l","uWAJUKEvyW","YbVcJGFEVW"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸2A85","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4309","layer":4},{"info":"compute unary expreesion, input=4309, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-13006","layer":3},{"info":"compute unary expreesion, input=-13006, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-13006","layer":2},{"info":"number node, value=4455","layer":4},{"info":"number node, value=7302","layer":4},{"info":"compute binary expreesion, left_input=4455, right_input=7302, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-96","layer":3},{"info":"number node, value=4218","layer":4},{"info":"number node, value=2341","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=2341, 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=-16912","layer":3},{"info":"compute binary expreesion, left_input=-96, right_input=-16912, 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=-16914","layer":2},{"info":"compute binary expreesion, left_input=-13006, right_input=-16914, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=4997","layer":0}],"base":12,"result_base":12,"text":"≅≯⇸(≉(∂⩏⊆⫖↰⪸25B1))⇂≾⫗(⫖↰⪸26B3⊹∫⫚⫖↰⪸4286⩹⫖↰⪸2536≃⫖↰⪸1431)=⫖↰⪸2A85","reverse_text":"⫖↰⪸2A85=≅≯⇸(≉(∂⩏⊆⫖↰⪸25B1))⇂≾⫗(⫖↰⪸26B3⊹∫⫚⫖↰⪸4286⩹⫖↰⪸2536≃⫖↰⪸1431)","cot":[{"info":"∂⩏⊆⫖↰⪸25B1=⫖↰⪸-763A","layer":3},{"info":"≉⫖↰⪸-763A=⫖↰⪸-763A","layer":2},{"info":"⫖↰⪸26B3⊹∫⫚⫖↰⪸4286=⫖↰⪸-80","layer":3},{"info":"⫖↰⪸2536≃⫖↰⪸1431=⫖↰⪸-9954","layer":3},{"info":"⫖↰⪸-80⩹⫖↰⪸-9954=⫖↰⪸-9956","layer":2},{"info":"⫖↰⪸-763A⇂≾⫗⫖↰⪸-9956=⫖↰⪸-47A","layer":1},{"info":"≅≯⇸⫖↰⪸-47A=⫖↰⪸2A85","layer":0}]}
{"id":776,"expression_no_base_symbol":"⇤←(≇⪴($6044$↬$3779$))⨼⩣($4552$⪶≀⋏$2174$)⇤($2784$⫚⫇)","expression":"⇤←(≇⪴(⫖↰⪸35B8↬⫖↰⪸222B))⨼⩣(⫖↰⪸2774⪶≀⋏⫖↰⪸1312)⇤(⫖↰⪸1740⫚⫇)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":436,"operation_count":7,"complexity_ratio":62.285714285714285,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6044,"base":12},"right_expr":{"type":"numeric_atoms","value":3779,"base":12}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4552,"base":12},"right_expr":{"type":"numeric_atoms","value":2174,"base":12}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":2784,"base":12}}}}},"used_operators":["jfAgQ2OQeM","JxwMv5le6e","zoVPnxeHJ3","B5M0gjZbta","YSKBFp38Pu","zR4jO40bMj","SdCjLnB6rR"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6044","layer":4},{"info":"number node, value=3779","layer":4},{"info":"compute binary expreesion, left_input=6044, right_input=3779, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":2},{"info":"number node, value=4552","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=4552, right_input=2174, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18236","layer":3},{"info":"number node, value=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=4100","layer":3},{"info":"compute binary expreesion, left_input=-18236, right_input=4100, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=73528","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=73528, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇤←(≇⪴(⫖↰⪸35B8↬⫖↰⪸222B))⨼⩣(⫖↰⪸2774⪶≀⋏⫖↰⪸1312)⇤(⫖↰⪸1740⫚⫇)=NaN","reverse_text":"NaN=⇤←(≇⪴(⫖↰⪸35B8↬⫖↰⪸222B))⨼⩣(⫖↰⪸2774⪶≀⋏⫖↰⪸1312)⇤(⫖↰⪸1740⫚⫇)","cot":[{"info":"⫖↰⪸35B8↬⫖↰⪸222B=NaN","layer":3},{"info":"≇⪴NaN=NaN","layer":2},{"info":"⫖↰⪸2774⪶≀⋏⫖↰⪸1312=⫖↰⪸-A678","layer":3},{"info":"⫖↰⪸1740⫚⫇=⫖↰⪸2458","layer":3},{"info":"⫖↰⪸-A678⇤⫖↰⪸2458=⫖↰⪸36674","layer":2},{"info":"NaN⨼⩣⫖↰⪸36674=NaN","layer":1},{"info":"⇤←NaN=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"((($3078$→⨶⪴$2529$)⊚⫡⫭)≭((⊵⊁$4195$)∠⫱$3025$⋹⋡⊁$1607$))∘(($1836$⋝⋈⪟$6781$)∥⊢⊲($2083$⫌⩹⨱))⨽∌($2001$⊨$1245$⊍⩺⋍$4594$⨂≜$3396$)","expression":"(((⫖↰⪸1946→⨶⪴⫖↰⪸1569)⊚⫡⫭)≭((⊵⊁⫖↰⪸2517)∠⫱⫖↰⪸1901⋹⋡⊁⫖↰⪸B1B))∘((⫖↰⪸1090⋝⋈⪟⫖↰⪸3B11)∥⊢⊲(⫖↰⪸1257⫌⩹⨱))⨽∌(⫖↰⪸11A9⊨⫖↰⪸879⊍⩺⋍⫖↰⪸27AA⨂≜⫖↰⪸1B70)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":67499,"operation_count":14,"complexity_ratio":4821.357142857143,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3078,"base":12},"right_expr":{"type":"numeric_atoms","value":2529,"base":12}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":4195,"base":12}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3025,"base":12},"right_expr":{"type":"numeric_atoms","value":1607,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1836,"base":12},"right_expr":{"type":"numeric_atoms","value":6781,"base":12}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2083,"base":12}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2001,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4594,"base":12},"right_expr":{"type":"numeric_atoms","value":3396,"base":12}}}}},"used_operators":["Z5m6OM72h2","rxpJgHHUmx","SpZWOsLKZJ","bF6eod5Gvf","QvoQhV0rrE","AvED76WdY7","As8RqfVLgs","9samAPKr6k","v1UQAVDJRr","2DDjHMKMc0","EBcxylXtPf","OXDGMFPWZM","vg4gO5BX6G","k1SHOSEABc"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","AHs5Up7iyr","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","uBihLCJcMX","k8jYdgA6NY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3078","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=2529, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7587","layer":3},{"info":"compute unary expreesion, input=-7587, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=46222","layer":2},{"info":"number node, value=4195","layer":4},{"info":"compute unary expreesion, input=4195, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=24100","layer":3},{"info":"number node, value=3025","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=1607, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2357","layer":3},{"info":"compute binary expreesion, left_input=24100, right_input=2357, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=46222, right_input=1234, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1836","layer":4},{"info":"number node, value=6781","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=6781, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1836","layer":3},{"info":"number node, value=2083","layer":4},{"info":"compute unary expreesion, input=2083, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5567","layer":3},{"info":"compute binary expreesion, left_input=1836, right_input=5567, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=2001","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=1245, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9035","layer":3},{"info":"number node, value=4594","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=4594, right_input=3396, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9035, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1946→⨶⪴⫖↰⪸1569)⊚⫡⫭)≭((⊵⊁⫖↰⪸2517)∠⫱⫖↰⪸1901⋹⋡⊁⫖↰⪸B1B))∘((⫖↰⪸1090⋝⋈⪟⫖↰⪸3B11)∥⊢⊲(⫖↰⪸1257⫌⩹⨱))⨽∌(⫖↰⪸11A9⊨⫖↰⪸879⊍⩺⋍⫖↰⪸27AA⨂≜⫖↰⪸1B70)=NaN","reverse_text":"NaN=(((⫖↰⪸1946→⨶⪴⫖↰⪸1569)⊚⫡⫭)≭((⊵⊁⫖↰⪸2517)∠⫱⫖↰⪸1901⋹⋡⊁⫖↰⪸B1B))∘((⫖↰⪸1090⋝⋈⪟⫖↰⪸3B11)∥⊢⊲(⫖↰⪸1257⫌⩹⨱))⨽∌(⫖↰⪸11A9⊨⫖↰⪸879⊍⩺⋍⫖↰⪸27AA⨂≜⫖↰⪸1B70)","cot":[{"info":"⫖↰⪸1946→⨶⪴⫖↰⪸1569=⫖↰⪸-4483","layer":3},{"info":"⫖↰⪸-4483⊚⫡⫭=⫖↰⪸228BA","layer":2},{"info":"⊵⊁⫖↰⪸2517=⫖↰⪸11B44","layer":3},{"info":"⫖↰⪸1901⋹⋡⊁⫖↰⪸B1B=⫖↰⪸1445","layer":3},{"info":"⫖↰⪸11B44∠⫱⫖↰⪸1445=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸228BA≭⫖↰⪸86A=NaN","layer":1},{"info":"⫖↰⪸1090⋝⋈⪟⫖↰⪸3B11=⫖↰⪸1090","layer":3},{"info":"⫖↰⪸1257⫌⩹⨱=⫖↰⪸327B","layer":3},{"info":"⫖↰⪸1090∥⊢⊲⫖↰⪸327B=NaN","layer":2},{"info":"⫖↰⪸11A9⊨⫖↰⪸879=⫖↰⪸528B","layer":3},{"info":"⫖↰⪸27AA⨂≜⫖↰⪸1B70=NaN","layer":3},{"info":"⫖↰⪸528B⊍⩺⋍NaN=NaN","layer":2},{"info":"NaN⨽∌NaN=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"(⫯($8043$∘$2334$)⊮⊟↴(⇖⫷⫕$1567$))∛($2500$⇤$1820$↼⊘⨖$5698$∓⋝$2185$⪄(+⊝⨔$3245$)⨒$3693$∌↝$2891$)","expression":"(⫯(⫖↰⪸47A3∘⫖↰⪸1426)⊮⊟↴(⇖⫷⫕⫖↰⪸AA7))∛(⫖↰⪸1544⇤⫖↰⪸1078↼⊘⨖⫖↰⪸336A∓⋝⫖↰⪸1321⪄(+⊝⨔⫖↰⪸1A65)⨒⫖↰⪸2179∌↝⫖↰⪸180B)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1162,"operation_count":12,"complexity_ratio":96.83333333333333,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":8043,"base":12},"right_expr":{"type":"numeric_atoms","value":2334,"base":12}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1567,"base":12}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2500,"base":12},"right_expr":{"type":"numeric_atoms","value":1820,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5698,"base":12},"right_expr":{"type":"numeric_atoms","value":2185,"base":12}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3245,"base":12}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3693,"base":12},"right_expr":{"type":"numeric_atoms","value":2891,"base":12}}}}},"used_operators":["w2537kitQq","H6BK1Evt7c","QDVgd2eftb","Z5m6OM72h2","UHmRx3INFg","SUmda5xLS4","bPywburJMS","YSKBFp38Pu","PoHhknlbAi","y75s1iXyHd","DhbWaqg5eL","9Isq31Ruls"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8043","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=8043, right_input=2334, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=16086","layer":3},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=16086, right_input=2822, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":1},{"info":"number node, value=2500","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=1820, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18752","layer":3},{"info":"number node, value=5698","layer":4},{"info":"number node, value=2185","layer":4},{"info":"compute binary expreesion, left_input=5698, right_input=2185, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-18752, right_input=67, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-88","layer":2},{"info":"number node, value=3245","layer":4},{"info":"compute unary expreesion, input=3245, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=2891, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-88, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫯(⫖↰⪸47A3∘⫖↰⪸1426)⊮⊟↴(⇖⫷⫕⫖↰⪸AA7))∛(⫖↰⪸1544⇤⫖↰⪸1078↼⊘⨖⫖↰⪸336A∓⋝⫖↰⪸1321⪄(+⊝⨔⫖↰⪸1A65)⨒⫖↰⪸2179∌↝⫖↰⪸180B)=NaN","reverse_text":"NaN=(⫯(⫖↰⪸47A3∘⫖↰⪸1426)⊮⊟↴(⇖⫷⫕⫖↰⪸AA7))∛(⫖↰⪸1544⇤⫖↰⪸1078↼⊘⨖⫖↰⪸336A∓⋝⫖↰⪸1321⪄(+⊝⨔⫖↰⪸1A65)⨒⫖↰⪸2179∌↝⫖↰⪸180B)","cot":[{"info":"⫖↰⪸47A3∘⫖↰⪸1426=⫖↰⪸9386","layer":3},{"info":"⇖⫷⫕⫖↰⪸AA7=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸9386⊮⊟↴⫖↰⪸1772=⫖↰⪸0","layer":2},{"info":"⫯⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸1544⇤⫖↰⪸1078=⫖↰⪸-AA28","layer":3},{"info":"⫖↰⪸336A∓⋝⫖↰⪸1321=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-AA28↼⊘⨖⫖↰⪸57=⫖↰⪸-74","layer":2},{"info":"+⊝⨔⫖↰⪸1A65=⫖↰⪸A6A","layer":3},{"info":"⫖↰⪸2179∌↝⫖↰⪸180B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A6A⨒⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-74⪄⫖↰⪸0=⫖↰⪸2377","layer":1},{"info":"NaN∛⫖↰⪸2377=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"((≸≮$7242$⪎↠$2334$)⊍⩺⋍(⊬↢$5030$⇂≾⫗$1117$))∴((↔$1531$)⫔⩽⩺$1305$⊬⨰$3157$)⩦($3335$⩼⇪↪$1811$↳∿⪆($1334$⨻⩈⩔$9015$))","expression":"((≸≮⫖↰⪸4236⪎↠⫖↰⪸1426)⊍⩺⋍(⊬↢⫖↰⪸2AB2⇂≾⫗⫖↰⪸791))∴((↔⫖↰⪸A77)⫔⩽⩺⫖↰⪸909⊬⨰⫖↰⪸19B1)⩦(⫖↰⪸1B1B⩼⇪↪⫖↰⪸106B↳∿⪆(⫖↰⪸932⨻⩈⩔⫖↰⪸5273))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5557,"operation_count":13,"complexity_ratio":427.46153846153845,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":7242,"base":12},"right_expr":{"type":"numeric_atoms","value":2334,"base":12}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5030,"base":12},"right_expr":{"type":"numeric_atoms","value":1117,"base":12}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1531,"base":12}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1305,"base":12},"right_expr":{"type":"numeric_atoms","value":3157,"base":12}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3335,"base":12},"right_expr":{"type":"numeric_atoms","value":1811,"base":12}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1334,"base":12},"right_expr":{"type":"numeric_atoms","value":9015,"base":12}}}}},"used_operators":["hrf7POJlIJ","OXDGMFPWZM","AljMvE3RRm","3tVxb0NHM4","WPoGxAaPR1","aBQ6xLxuTc","0kmYd0q39Y","i9eR4S00cU","ruOEQAzv1W","s3Fd5m9Dh2","Cw4SuJJGHO","ocnLzx9CaJ","nEsXyWgiOK"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Tw270M8GLb","fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7242","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=7242, right_input=2334, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=378","layer":2},{"info":"number node, value=5030","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=5030, right_input=1117, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=660","layer":2},{"info":"compute binary expreesion, left_input=378, right_input=660, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1531","layer":4},{"info":"compute unary expreesion, input=1531, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1258","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=3157, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12877","layer":3},{"info":"compute binary expreesion, left_input=-1258, right_input=12877, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=3335","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=3335, right_input=1811, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6790","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=9015","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=9015, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=-6790, right_input=-174, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((≸≮⫖↰⪸4236⪎↠⫖↰⪸1426)⊍⩺⋍(⊬↢⫖↰⪸2AB2⇂≾⫗⫖↰⪸791))∴((↔⫖↰⪸A77)⫔⩽⩺⫖↰⪸909⊬⨰⫖↰⪸19B1)⩦(⫖↰⪸1B1B⩼⇪↪⫖↰⪸106B↳∿⪆(⫖↰⪸932⨻⩈⩔⫖↰⪸5273))=NaN","reverse_text":"NaN=((≸≮⫖↰⪸4236⪎↠⫖↰⪸1426)⊍⩺⋍(⊬↢⫖↰⪸2AB2⇂≾⫗⫖↰⪸791))∴((↔⫖↰⪸A77)⫔⩽⩺⫖↰⪸909⊬⨰⫖↰⪸19B1)⩦(⫖↰⪸1B1B⩼⇪↪⫖↰⪸106B↳∿⪆(⫖↰⪸932⨻⩈⩔⫖↰⪸5273))","cot":[{"info":"⫖↰⪸4236⪎↠⫖↰⪸1426=⫖↰⪸114","layer":3},{"info":"≸≮⫖↰⪸114=⫖↰⪸276","layer":2},{"info":"⫖↰⪸2AB2⇂≾⫗⫖↰⪸791=⫖↰⪸-484","layer":3},{"info":"⊬↢⫖↰⪸-484=⫖↰⪸470","layer":2},{"info":"⫖↰⪸276⊍⩺⋍⫖↰⪸470=NaN","layer":1},{"info":"↔⫖↰⪸A77=⫖↰⪸-88A","layer":3},{"info":"⫖↰⪸909⊬⨰⫖↰⪸19B1=⫖↰⪸7551","layer":3},{"info":"⫖↰⪸-88A⫔⩽⩺⫖↰⪸7551=NaN","layer":2},{"info":"⫖↰⪸1B1B⩼⇪↪⫖↰⪸106B=⫖↰⪸-3B1A","layer":3},{"info":"⫖↰⪸932⨻⩈⩔⫖↰⪸5273=⫖↰⪸-126","layer":3},{"info":"⫖↰⪸-3B1A↳∿⪆⫖↰⪸-126=NaN","layer":2},{"info":"NaN⩦NaN=NaN","layer":1},{"info":"NaN∴NaN=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"((≦∁$4498$⨿$2949$)⋳⪒($3422$≫≃)⇤($5925$⪘⫢$6539$))⩌⋺((⇖⫷⫕($1093$⨭⪣$1316$))⪑⩈)","expression":"((≦∁⫖↰⪸272A⨿⫖↰⪸1859)⋳⪒(⫖↰⪸1B92≫≃)⇤(⫖↰⪸3519⪘⫢⫖↰⪸394B))⩌⋺((⇖⫷⫕(⫖↰⪸771⨭⪣⫖↰⪸918))⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1073,"operation_count":10,"complexity_ratio":107.3,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4498,"base":12},"right_expr":{"type":"numeric_atoms","value":2949,"base":12}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3422,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5925,"base":12},"right_expr":{"type":"numeric_atoms","value":6539,"base":12}}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1093,"base":12},"right_expr":{"type":"numeric_atoms","value":1316,"base":12}}}}},"used_operators":["g7Hmc5v1ko","12rbrZMWeM","9ICcGScMcE","abYXlopdE0","YSKBFp38Pu","X99M06cbEe","oacrs7FA3X","C6VvDP6HwP","UHmRx3INFg","kn8WO9XteQ"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⫖↰⪸-5857B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4498","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=4498, right_input=2949, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=3422","layer":4},{"info":"compute unary expreesion, input=3422, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8245","layer":3},{"info":"number node, value=5925","layer":4},{"info":"number node, value=6539","layer":4},{"info":"compute binary expreesion, left_input=5925, right_input=6539, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11726","layer":3},{"info":"compute binary expreesion, left_input=8245, right_input=11726, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-97007","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-97007, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=96854","layer":1},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1316, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-186","layer":3},{"info":"compute unary expreesion, input=-186, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=21344","layer":1},{"info":"compute binary expreesion, left_input=96854, right_input=21344, 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=-118319","layer":0}],"base":12,"result_base":12,"text":"((≦∁⫖↰⪸272A⨿⫖↰⪸1859)⋳⪒(⫖↰⪸1B92≫≃)⇤(⫖↰⪸3519⪘⫢⫖↰⪸394B))⩌⋺((⇖⫷⫕(⫖↰⪸771⨭⪣⫖↰⪸918))⪑⩈)=⫖↰⪸-5857B","reverse_text":"⫖↰⪸-5857B=((≦∁⫖↰⪸272A⨿⫖↰⪸1859)⋳⪒(⫖↰⪸1B92≫≃)⇤(⫖↰⪸3519⪘⫢⫖↰⪸394B))⩌⋺((⇖⫷⫕(⫖↰⪸771⨭⪣⫖↰⪸918))⪑⩈)","cot":[{"info":"⫖↰⪸272A⨿⫖↰⪸1859=⫖↰⪸-227","layer":3},{"info":"≦∁⫖↰⪸-227=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1B92≫≃=⫖↰⪸4931","layer":3},{"info":"⫖↰⪸3519⪘⫢⫖↰⪸394B=⫖↰⪸6952","layer":3},{"info":"⫖↰⪸4931⇤⫖↰⪸6952=⫖↰⪸-4817B","layer":2},{"info":"⫖↰⪸57⋳⪒⫖↰⪸-4817B=⫖↰⪸48072","layer":1},{"info":"⫖↰⪸771⨭⪣⫖↰⪸918=⫖↰⪸-136","layer":3},{"info":"⇖⫷⫕⫖↰⪸-136=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸1772⪑⩈=⫖↰⪸10428","layer":1},{"info":"⫖↰⪸48072⩌⋺⫖↰⪸10428=⫖↰⪸-5857B","layer":0}]}
{"id":781,"expression_no_base_symbol":"(($7894$⪉⨛$3978$)⪘⫢$7272$⪭$3765$∽$5577$⪟⇏$1095$∣($1526$⊔$3896$))∓⋝(↨($3396$⋘⨑⨽)⇍⊗$5969$∥⊢⊲$1214$)","expression":"((⫖↰⪸469A⪉⨛⫖↰⪸2376)⪘⫢⫖↰⪸4260⪭⫖↰⪸2219∽⫖↰⪸3289⪟⇏⫖↰⪸773∣(⫖↰⪸A72⊔⫖↰⪸2308))∓⋝(↨(⫖↰⪸1B70⋘⨑⨽)⇍⊗⫖↰⪸3555∥⊢⊲⫖↰⪸852)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":337,"operation_count":12,"complexity_ratio":28.083333333333332,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":7894,"base":12},"right_expr":{"type":"numeric_atoms","value":3978,"base":12}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":7272,"base":12},"right_expr":{"type":"numeric_atoms","value":3765,"base":12}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5577,"base":12},"right_expr":{"type":"numeric_atoms","value":1095,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1526,"base":12},"right_expr":{"type":"numeric_atoms","value":3896,"base":12}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":3396,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5969,"base":12},"right_expr":{"type":"numeric_atoms","value":1214,"base":12}}}}},"used_operators":["PoHhknlbAi","y4ImoPnbV5","oacrs7FA3X","EWw2JM7wp4","j9kHMeSvPp","PPChnnnBFF","GODebY97qR","E4l6HwMY31","jiX4gk2v2Q","5uvYHDjeKN","WmT3o8z6ya","v1UQAVDJRr"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7894","layer":4},{"info":"number node, value=3978","layer":4},{"info":"compute binary expreesion, left_input=7894, right_input=3978, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=19919","layer":3},{"info":"number node, value=7272","layer":4},{"info":"number node, value=3765","layer":4},{"info":"compute binary expreesion, left_input=7272, right_input=3765, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=19919, right_input=5, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=5577","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=5577, right_input=1095, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1526","layer":4},{"info":"number node, value=3896","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=3896, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=20132","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=20132, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=181","layer":1},{"info":"number node, value=3396","layer":4},{"info":"compute unary expreesion, input=3396, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=17763","layer":3},{"info":"number node, value=5969","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=5969, right_input=1214, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17763, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=181, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸469A⪉⨛⫖↰⪸2376)⪘⫢⫖↰⪸4260⪭⫖↰⪸2219∽⫖↰⪸3289⪟⇏⫖↰⪸773∣(⫖↰⪸A72⊔⫖↰⪸2308))∓⋝(↨(⫖↰⪸1B70⋘⨑⨽)⇍⊗⫖↰⪸3555∥⊢⊲⫖↰⪸852)=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸469A⪉⨛⫖↰⪸2376)⪘⫢⫖↰⪸4260⪭⫖↰⪸2219∽⫖↰⪸3289⪟⇏⫖↰⪸773∣(⫖↰⪸A72⊔⫖↰⪸2308))∓⋝(↨(⫖↰⪸1B70⋘⨑⨽)⇍⊗⫖↰⪸3555∥⊢⊲⫖↰⪸852)","cot":[{"info":"⫖↰⪸469A⪉⨛⫖↰⪸2376=⫖↰⪸B63B","layer":3},{"info":"⫖↰⪸4260⪭⫖↰⪸2219=⫖↰⪸5","layer":3},{"info":"⫖↰⪸B63B⪘⫢⫖↰⪸5=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3289⪟⇏⫖↰⪸773=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸A72⊔⫖↰⪸2308=⫖↰⪸B798","layer":3},{"info":"⫖↰⪸-1∣⫖↰⪸B798=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸0∽⫖↰⪸-1=⫖↰⪸131","layer":1},{"info":"⫖↰⪸1B70⋘⨑⨽=⫖↰⪸A343","layer":3},{"info":"⫖↰⪸3555∥⊢⊲⫖↰⪸852=NaN","layer":3},{"info":"⫖↰⪸A343⇍⊗NaN=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"⫖↰⪸131∓⋝NaN=⫖↰⪸57","layer":0}]}
{"id":782,"expression_no_base_symbol":"(((↨⩢⫨$5355$)↪⪝)⇩)⨐⩸⫘(⩷(($7955$⊜)⋝⋈⪟$3516$⨼⩣$1790$))","expression":"(((↨⩢⫨⫖↰⪸3123)↪⪝)⇩)⨐⩸⫘(⩷((⫖↰⪸472B⊜)⋝⋈⪟⫖↰⪸2050⨼⩣⫖↰⪸1052))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":479,"operation_count":8,"complexity_ratio":59.875,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":5355,"base":12}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":7955,"base":12}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3516,"base":12},"right_expr":{"type":"numeric_atoms","value":1790,"base":12}}}}},"used_operators":["fu6greOZ01","vRio1gEz1j","l07mrZUIn9","Z5CJsN7DuW","1h0rLqGiFr","2DDjHMKMc0","Eev2Q7dYIw","JxwMv5le6e"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5355","layer":4},{"info":"compute unary expreesion, input=5355, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=93","layer":1},{"info":"number node, value=7955","layer":4},{"info":"compute unary expreesion, input=7955, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-30084","layer":3},{"info":"number node, value=3516","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=1790, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-30084, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=93, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((↨⩢⫨⫖↰⪸3123)↪⪝)⇩)⨐⩸⫘(⩷((⫖↰⪸472B⊜)⋝⋈⪟⫖↰⪸2050⨼⩣⫖↰⪸1052))=NaN","reverse_text":"NaN=(((↨⩢⫨⫖↰⪸3123)↪⪝)⇩)⨐⩸⫘(⩷((⫖↰⪸472B⊜)⋝⋈⪟⫖↰⪸2050⨼⩣⫖↰⪸1052))","cot":[{"info":"↨⩢⫨⫖↰⪸3123=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0↪⪝=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⇩=⫖↰⪸79","layer":1},{"info":"⫖↰⪸472B⊜=⫖↰⪸-154B0","layer":3},{"info":"⫖↰⪸2050⨼⩣⫖↰⪸1052=NaN","layer":3},{"info":"⫖↰⪸-154B0⋝⋈⪟NaN=NaN","layer":2},{"info":"⩷NaN=NaN","layer":1},{"info":"⫖↰⪸79⨐⩸⫘NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"((⇖$1524$)+⪬∐($1525$⊴$1711$)⇣⩺⋵(($5962$∝$3114$)⪡(⨡↴$1288$)))↳∿⪆((⫵↿($5794$⪁$1820$))⊾⪯⋞($1194$∘$5985$)⋥⋵⩄$1833$↓$2008$)","expression":"((⇖⫖↰⪸A70)+⪬∐(⫖↰⪸A71⊴⫖↰⪸BA7)⇣⩺⋵((⫖↰⪸354A∝⫖↰⪸1976)⪡(⨡↴⫖↰⪸8B4)))↳∿⪆((⫵↿(⫖↰⪸342A⪁⫖↰⪸1078))⊾⪯⋞(⫖↰⪸836∘⫖↰⪸3569)⋥⋵⩄⫖↰⪸1089↓⫖↰⪸11B4)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":32602968,"operation_count":14,"complexity_ratio":2328783.4285714286,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1524,"base":12}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1525,"base":12},"right_expr":{"type":"numeric_atoms","value":1711,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5962,"base":12},"right_expr":{"type":"numeric_atoms","value":3114,"base":12}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1288,"base":12}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5794,"base":12},"right_expr":{"type":"numeric_atoms","value":1820,"base":12}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1194,"base":12},"right_expr":{"type":"numeric_atoms","value":5985,"base":12}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1833,"base":12},"right_expr":{"type":"numeric_atoms","value":2008,"base":12}}}}},"used_operators":["Cw4SuJJGHO","F4yD0voBRQ","2GS7woTJqF","tfWHHpNKUN","Nsiff2A1zJ","oraRL2iQuh","cTDWOvIxvz","liw5iZPkLH","HK0tfVPux8","ivGwdmUAux","I7sXao9hZE","7t3wd0Fuz7","Z5m6OM72h2","Af076pWI7l"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","g55IO6H4Gj","D4vGDi5EA2","2DQ55sFlQl","dWAJyo7jo9","14qkJME0vr","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","P8v4zCKN1o","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eH2TOUuTDT","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"compute unary expreesion, input=1524, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=1711, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-480","layer":2},{"info":"number node, value=5962","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=5962, right_input=3114, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5967","layer":3},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2337","layer":3},{"info":"compute binary expreesion, left_input=5967, right_input=2337, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=107, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-2072","layer":1},{"info":"number node, value=5794","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=5794, right_input=1820, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=5985","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=5985, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2388","layer":3},{"info":"number node, value=1833","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=2008, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=2388, right_input=-134, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=113, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":1},{"info":"compute binary expreesion, left_input=-2072, right_input=-818, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⇖⫖↰⪸A70)+⪬∐(⫖↰⪸A71⊴⫖↰⪸BA7)⇣⩺⋵((⫖↰⪸354A∝⫖↰⪸1976)⪡(⨡↴⫖↰⪸8B4)))↳∿⪆((⫵↿(⫖↰⪸342A⪁⫖↰⪸1078))⊾⪯⋞(⫖↰⪸836∘⫖↰⪸3569)⋥⋵⩄⫖↰⪸1089↓⫖↰⪸11B4)=NaN","reverse_text":"NaN=((⇖⫖↰⪸A70)+⪬∐(⫖↰⪸A71⊴⫖↰⪸BA7)⇣⩺⋵((⫖↰⪸354A∝⫖↰⪸1976)⪡(⨡↴⫖↰⪸8B4)))↳∿⪆((⫵↿(⫖↰⪸342A⪁⫖↰⪸1078))⊾⪯⋞(⫖↰⪸836∘⫖↰⪸3569)⋥⋵⩄⫖↰⪸1089↓⫖↰⪸11B4)","cot":[{"info":"⇖⫖↰⪸A70=⫖↰⪸114","layer":3},{"info":"⫖↰⪸A71⊴⫖↰⪸BA7=NaN","layer":3},{"info":"⫖↰⪸114+⪬∐NaN=⫖↰⪸-340","layer":2},{"info":"⫖↰⪸354A∝⫖↰⪸1976=⫖↰⪸3553","layer":3},{"info":"⨡↴⫖↰⪸8B4=⫖↰⪸1429","layer":3},{"info":"⫖↰⪸3553⪡⫖↰⪸1429=⫖↰⪸8B","layer":2},{"info":"⫖↰⪸-340⇣⩺⋵⫖↰⪸8B=⫖↰⪸-1248","layer":1},{"info":"⫖↰⪸342A⪁⫖↰⪸1078=NaN","layer":3},{"info":"⫵↿NaN=⫖↰⪸B5","layer":2},{"info":"⫖↰⪸836∘⫖↰⪸3569=⫖↰⪸1470","layer":3},{"info":"⫖↰⪸1089↓⫖↰⪸11B4=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸1470⋥⋵⩄⫖↰⪸-B2=⫖↰⪸95","layer":2},{"info":"⫖↰⪸B5⊾⪯⋞⫖↰⪸95=⫖↰⪸-582","layer":1},{"info":"⫖↰⪸-1248↳∿⪆⫖↰⪸-582=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"((≸≮(⋗⩴⪓$2102$))∌↝(($4214$⊴⇁⪶)∵≐))⫑","expression":"((≸≮(⋗⩴⪓⫖↰⪸1272))∌↝((⫖↰⪸2532⊴⇁⪶)∵≐))⫑","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6681,"operation_count":6,"complexity_ratio":1113.5,"tree":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2102,"base":12}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":4214,"base":12}}}}},"used_operators":["CgIo77xlM2","9Isq31Ruls","AljMvE3RRm","nOKPl9n5zu","59igzFyhWz","oo9mF6JIpo"],"dependent_operators":["cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2102","layer":4},{"info":"compute unary expreesion, input=2102, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1189","layer":3},{"info":"compute unary expreesion, input=-1189, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=18618","layer":2},{"info":"number node, value=4214","layer":4},{"info":"compute unary expreesion, input=4214, 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=85030","layer":3},{"info":"compute unary expreesion, input=85030, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=84084","layer":2},{"info":"compute binary expreesion, left_input=18618, right_input=84084, 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 = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":0}],"base":12,"result_base":12,"text":"((≸≮(⋗⩴⪓⫖↰⪸1272))∌↝((⫖↰⪸2532⊴⇁⪶)∵≐))⫑=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=((≸≮(⋗⩴⪓⫖↰⪸1272))∌↝((⫖↰⪸2532⊴⇁⪶)∵≐))⫑","cot":[{"info":"⋗⩴⪓⫖↰⪸1272=⫖↰⪸-831","layer":3},{"info":"≸≮⫖↰⪸-831=⫖↰⪸A936","layer":2},{"info":"⫖↰⪸2532⊴⇁⪶=⫖↰⪸4125A","layer":3},{"info":"⫖↰⪸4125A∵≐=⫖↰⪸407B0","layer":2},{"info":"⫖↰⪸A936∌↝⫖↰⪸407B0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⫑=⫖↰⪸2377","layer":0}]}
{"id":785,"expression_no_base_symbol":"((⋠∜(≸≮$1206$))⋷(∓⪦$4766$)↹⊜$1983$↓$6943$)∼((⊽$3663$)⊢($4442$≀⫉$3025$))↞⋁(($6657$≚⊃≕$1236$)⪥($1395$⇣⩺⋵$3743$))","expression":"((⋠∜(≸≮⫖↰⪸846))⋷(∓⪦⫖↰⪸2912)↹⊜⫖↰⪸1193↓⫖↰⪸4027)∼((⊽⫖↰⪸2153)⊢(⫖↰⪸26A2≀⫉⫖↰⪸1901))↞⋁((⫖↰⪸3A29≚⊃≕⫖↰⪸870)⪥(⫖↰⪸983⇣⩺⋵⫖↰⪸21BB))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":107767,"operation_count":14,"complexity_ratio":7697.642857142857,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1206,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":4766,"base":12}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1983,"base":12},"right_expr":{"type":"numeric_atoms","value":6943,"base":12}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3663,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4442,"base":12},"right_expr":{"type":"numeric_atoms","value":3025,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":6657,"base":12},"right_expr":{"type":"numeric_atoms","value":1236,"base":12}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1395,"base":12},"right_expr":{"type":"numeric_atoms","value":3743,"base":12}}}}},"used_operators":["DyGG3AbaNP","23Mk6UjR3U","ZJpFhNJr3x","AljMvE3RRm","9bazX3JMtO","D309nIvmXG","Af076pWI7l","RqrPlJkxDo","5twsqlHp2o","QxG7OkqoLX","oZj3VtZNQx","QbnwKVWMIQ","Bmrmz2XGnR","F4yD0voBRQ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":4},{"info":"compute unary expreesion, input=1206, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":2},{"info":"number node, value=4766","layer":4},{"info":"compute unary expreesion, input=4766, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4358","layer":3},{"info":"number node, value=1983","layer":4},{"info":"number node, value=6943","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=6943, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=4358, right_input=-134, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=9156","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=9156, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-134","layer":1},{"info":"number node, value=3663","layer":4},{"info":"compute unary expreesion, input=3663, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=8848","layer":3},{"info":"number node, value=4442","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=3025, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=8848, right_input=2822, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-17940","layer":2},{"info":"number node, value=6657","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=6657, right_input=1236, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1395","layer":4},{"info":"number node, value=3743","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=3743, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1844","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-1844, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=-17940, right_input=-1798, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-17940","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-17940, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⋠∜(≸≮⫖↰⪸846))⋷(∓⪦⫖↰⪸2912)↹⊜⫖↰⪸1193↓⫖↰⪸4027)∼((⊽⫖↰⪸2153)⊢(⫖↰⪸26A2≀⫉⫖↰⪸1901))↞⋁((⫖↰⪸3A29≚⊃≕⫖↰⪸870)⪥(⫖↰⪸983⇣⩺⋵⫖↰⪸21BB))=NaN","reverse_text":"NaN=((⋠∜(≸≮⫖↰⪸846))⋷(∓⪦⫖↰⪸2912)↹⊜⫖↰⪸1193↓⫖↰⪸4027)∼((⊽⫖↰⪸2153)⊢(⫖↰⪸26A2≀⫉⫖↰⪸1901))↞⋁((⫖↰⪸3A29≚⊃≕⫖↰⪸870)⪥(⫖↰⪸983⇣⩺⋵⫖↰⪸21BB))","cot":[{"info":"≸≮⫖↰⪸846=NaN","layer":3},{"info":"⋠∜NaN=⫖↰⪸57","layer":2},{"info":"∓⪦⫖↰⪸2912=⫖↰⪸2632","layer":3},{"info":"⫖↰⪸1193↓⫖↰⪸4027=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸2632↹⊜⫖↰⪸-B2=⫖↰⪸5370","layer":2},{"info":"⫖↰⪸57⋷⫖↰⪸5370=⫖↰⪸-B2","layer":1},{"info":"⊽⫖↰⪸2153=⫖↰⪸5154","layer":3},{"info":"⫖↰⪸26A2≀⫉⫖↰⪸1901=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸5154⊢⫖↰⪸1772=⫖↰⪸-A470","layer":2},{"info":"⫖↰⪸3A29≚⊃≕⫖↰⪸870=⫖↰⪸57","layer":3},{"info":"⫖↰⪸983⇣⩺⋵⫖↰⪸21BB=⫖↰⪸-1098","layer":3},{"info":"⫖↰⪸57⪥⫖↰⪸-1098=⫖↰⪸-105A","layer":2},{"info":"⫖↰⪸-A470↞⋁⫖↰⪸-105A=⫖↰⪸-A470","layer":1},{"info":"⫖↰⪸-B2∼⫖↰⪸-A470=NaN","layer":0}]}
{"id":786,"expression_no_base_symbol":"($7626$⋹⋡⊁$2262$≒∊(⩎⋉$6475$))⨸($5488$-$5267$)≁↽≥($1311$*$2068$)⨼⩣(($4434$⨹)⨸($2352$⪛$2782$)⪚(($1083$≑≱⪘)⨵⪆$4921$→⨶⪴$1352$))","expression":"(⫖↰⪸44B6⋹⋡⊁⫖↰⪸1386≒∊(⩎⋉⫖↰⪸38B7))⨸(⫖↰⪸3214-⫖↰⪸306B)≁↽≥(⫖↰⪸913*⫖↰⪸1244)⨼⩣((⫖↰⪸2696⨹)⨸(⫖↰⪸1440⪛⫖↰⪸173A)⪚((⫖↰⪸763≑≱⪘)⨵⪆⫖↰⪸2A21→⨶⪴⫖↰⪸948))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":85939,"operation_count":15,"complexity_ratio":5729.266666666666,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7626,"base":12},"right_expr":{"type":"numeric_atoms","value":2262,"base":12}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6475,"base":12}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5488,"base":12},"right_expr":{"type":"numeric_atoms","value":5267,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1311,"base":12},"right_expr":{"type":"numeric_atoms","value":2068,"base":12}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":4434,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2352,"base":12},"right_expr":{"type":"numeric_atoms","value":2782,"base":12}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1083,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4921,"base":12},"right_expr":{"type":"numeric_atoms","value":1352,"base":12}}}}},"used_operators":["JxwMv5le6e","KmoU8R5UQR","5KTvxBwnZo","As8RqfVLgs","FlXk3pOYe8","ncHt1X6cMc","rysDP5nf3Z","9HNa5Wba9A","HrjLwUk87U","UnCoSGIALn","uFcxV4UQCh","2DQ55sFlQl","tGSeddj7UK","bF6eod5Gvf"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","mp7IySMOzn","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7626","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=7626, right_input=2262, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3012","layer":3},{"info":"number node, value=6475","layer":4},{"info":"compute unary expreesion, input=6475, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=3012, right_input=1650, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2528","layer":2},{"info":"number node, value=5488","layer":4},{"info":"number node, value=5267","layer":4},{"info":"compute binary expreesion, left_input=5488, right_input=5267, op_id = rysDP5nf3Z binary_op_definition= 'None', output=221","layer":3},{"info":"number node, value=1311","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=2068, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2711148","layer":3},{"info":"compute binary expreesion, left_input=221, right_input=2711148, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=13247","layer":2},{"info":"compute binary expreesion, left_input=-2528, right_input=13247, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1930254","layer":1},{"info":"number node, value=4434","layer":4},{"info":"compute unary expreesion, input=4434, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=8868","layer":3},{"info":"number node, value=2352","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=2782, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2352","layer":3},{"info":"compute binary expreesion, left_input=8868, right_input=2352, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=17736","layer":2},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, 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=24523","layer":3},{"info":"number node, value=4921","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=4921, right_input=1352, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4056","layer":3},{"info":"compute binary expreesion, left_input=24523, right_input=-4056, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=17736, right_input=160, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=34796","layer":1},{"info":"compute binary expreesion, left_input=1930254, right_input=34796, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸44B6⋹⋡⊁⫖↰⪸1386≒∊(⩎⋉⫖↰⪸38B7))⨸(⫖↰⪸3214-⫖↰⪸306B)≁↽≥(⫖↰⪸913*⫖↰⪸1244)⨼⩣((⫖↰⪸2696⨹)⨸(⫖↰⪸1440⪛⫖↰⪸173A)⪚((⫖↰⪸763≑≱⪘)⨵⪆⫖↰⪸2A21→⨶⪴⫖↰⪸948))=NaN","reverse_text":"NaN=(⫖↰⪸44B6⋹⋡⊁⫖↰⪸1386≒∊(⩎⋉⫖↰⪸38B7))⨸(⫖↰⪸3214-⫖↰⪸306B)≁↽≥(⫖↰⪸913*⫖↰⪸1244)⨼⩣((⫖↰⪸2696⨹)⨸(⫖↰⪸1440⪛⫖↰⪸173A)⪚((⫖↰⪸763≑≱⪘)⨵⪆⫖↰⪸2A21→⨶⪴⫖↰⪸948))","cot":[{"info":"⫖↰⪸44B6⋹⋡⊁⫖↰⪸1386=⫖↰⪸18B0","layer":3},{"info":"⩎⋉⫖↰⪸38B7=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸18B0≒∊⫖↰⪸B56=⫖↰⪸-1568","layer":2},{"info":"⫖↰⪸3214-⫖↰⪸306B=⫖↰⪸165","layer":3},{"info":"⫖↰⪸913*⫖↰⪸1244=⫖↰⪸AA8B50","layer":3},{"info":"⫖↰⪸165≁↽≥⫖↰⪸AA8B50=⫖↰⪸77BB","layer":2},{"info":"⫖↰⪸-1568⨸⫖↰⪸77BB=⫖↰⪸791066","layer":1},{"info":"⫖↰⪸2696⨹=⫖↰⪸5170","layer":3},{"info":"⫖↰⪸1440⪛⫖↰⪸173A=⫖↰⪸1440","layer":3},{"info":"⫖↰⪸5170⨸⫖↰⪸1440=⫖↰⪸A320","layer":2},{"info":"⫖↰⪸763≑≱⪘=⫖↰⪸12237","layer":3},{"info":"⫖↰⪸2A21→⨶⪴⫖↰⪸948=⫖↰⪸-2420","layer":3},{"info":"⫖↰⪸12237⨵⪆⫖↰⪸-2420=⫖↰⪸114","layer":2},{"info":"⫖↰⪸A320⪚⫖↰⪸114=⫖↰⪸18178","layer":1},{"info":"⫖↰⪸791066⨼⩣⫖↰⪸18178=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"($4174$≥⨤⩑$2303$∲⫓$1123$⪭$1002$)⊉↱≁(($2160$⊋$1411$)⪥(⨰⫟⨤$1161$))⩺⪪(⪡⇡≛((⩦⊞$1017$)⫸⊐(⨈⫕$3518$)))","expression":"(⫖↰⪸24BA≥⨤⩑⫖↰⪸13BB∲⫓⫖↰⪸797⪭⫖↰⪸6B6)⊉↱≁((⫖↰⪸1300⊋⫖↰⪸997)⪥(⨰⫟⨤⫖↰⪸809))⩺⪪(⪡⇡≛((⩦⊞⫖↰⪸709)⫸⊐(⨈⫕⫖↰⪸2052)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6022,"operation_count":12,"complexity_ratio":501.8333333333333,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4174,"base":12},"right_expr":{"type":"numeric_atoms","value":2303,"base":12}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1123,"base":12},"right_expr":{"type":"numeric_atoms","value":1002,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2160,"base":12},"right_expr":{"type":"numeric_atoms","value":1411,"base":12}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1161,"base":12}}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1017,"base":12}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3518,"base":12}}}}},"used_operators":["uvdQJvN4PV","w2P8NbNXyL","i8ToyICDmI","gJLn6v0xnP","j9kHMeSvPp","QbnwKVWMIQ","W4tP9CfskL","Tw270M8GLb","qL4PrbW1Dq","mqXw5SEYmG","u7fv1HBiaC","megm06wKyl"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","COABgblf1C","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫖↰⪸-1076","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4174","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=4174, right_input=2303, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1002, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=5, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1234","layer":2},{"info":"number node, value=2160","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=1411, 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=8387472","layer":3},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8387472, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=33554540","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=33554540, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-201316014","layer":1},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-744","layer":3},{"info":"number node, value=3518","layer":4},{"info":"compute unary expreesion, input=3518, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-744, right_input=-21, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-968","layer":1},{"info":"compute binary expreesion, left_input=-201316014, right_input=-968, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸24BA≥⨤⩑⫖↰⪸13BB∲⫓⫖↰⪸797⪭⫖↰⪸6B6)⊉↱≁((⫖↰⪸1300⊋⫖↰⪸997)⪥(⨰⫟⨤⫖↰⪸809))⩺⪪(⪡⇡≛((⩦⊞⫖↰⪸709)⫸⊐(⨈⫕⫖↰⪸2052)))=⫖↰⪸-1076","reverse_text":"⫖↰⪸-1076=(⫖↰⪸24BA≥⨤⩑⫖↰⪸13BB∲⫓⫖↰⪸797⪭⫖↰⪸6B6)⊉↱≁((⫖↰⪸1300⊋⫖↰⪸997)⪥(⨰⫟⨤⫖↰⪸809))⩺⪪(⪡⇡≛((⩦⊞⫖↰⪸709)⫸⊐(⨈⫕⫖↰⪸2052)))","cot":[{"info":"⫖↰⪸24BA≥⨤⩑⫖↰⪸13BB=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸797⪭⫖↰⪸6B6=⫖↰⪸5","layer":3},{"info":"⫖↰⪸86A∲⫓⫖↰⪸5=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸1300⊋⫖↰⪸997=⫖↰⪸2985A40","layer":3},{"info":"⨰⫟⨤⫖↰⪸809=NaN","layer":3},{"info":"⫖↰⪸2985A40⪥NaN=⫖↰⪸B2A2178","layer":2},{"info":"⫖↰⪸86A⊉↱≁⫖↰⪸B2A2178=⫖↰⪸-575063A6","layer":1},{"info":"⩦⊞⫖↰⪸709=⫖↰⪸-520","layer":3},{"info":"⨈⫕⫖↰⪸2052=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸-520⫸⊐⫖↰⪸-19=⫖↰⪸688","layer":2},{"info":"⪡⇡≛⫖↰⪸688=⫖↰⪸-688","layer":1},{"info":"⫖↰⪸-575063A6⩺⪪⫖↰⪸-688=⫖↰⪸-1076","layer":0}]}
{"id":788,"expression_no_base_symbol":"(($1791$∖$4790$)⪊≅)⩦($2207$⪔⊥$1769$⨭⪣($4723$∙∹∝$4375$))⋥≓≎(($1125$⫃⨇$2547$)≌($2338$⊪)↸($1038$≃$1439$)⪪($6305$⩁))","expression":"((⫖↰⪸1053∖⫖↰⪸2932)⪊≅)⩦(⫖↰⪸133B⪔⊥⫖↰⪸1035⨭⪣(⫖↰⪸2897∙∹∝⫖↰⪸2647))⋥≓≎((⫖↰⪸799⫃⨇⫖↰⪸1583)≌(⫖↰⪸142A⊪)↸(⫖↰⪸726≃⫖↰⪸9BB)⪪(⫖↰⪸3795⩁))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":817309,"operation_count":14,"complexity_ratio":58379.21428571428,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1791,"base":12},"right_expr":{"type":"numeric_atoms","value":4790,"base":12}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2207,"base":12},"right_expr":{"type":"numeric_atoms","value":1769,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4723,"base":12},"right_expr":{"type":"numeric_atoms","value":4375,"base":12}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1125,"base":12},"right_expr":{"type":"numeric_atoms","value":2547,"base":12}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2338,"base":12}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1038,"base":12},"right_expr":{"type":"numeric_atoms","value":1439,"base":12}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":6305,"base":12}}}}},"used_operators":["Qy55tPpLXF","0kmYd0q39Y","bjFbhXSADs","tXD093vOjl","kn8WO9XteQ","HJ9erzHUuu","HmxsFra2vL","1eCjFl0mb9","lyWz822IDG","09Ly4LVMIf","zVYPLywUTj","xD69zh8xqp","YbVcJGFEVW","5GqDbVmqXU"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"⫖↰⪸A641","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"number node, value=4790","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=4790, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"number node, value=2207","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=1769, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=5091","layer":3},{"info":"number node, value=4723","layer":4},{"info":"number node, value=4375","layer":4},{"info":"compute binary expreesion, left_input=4723, right_input=4375, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5091, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3812","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3812, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":1},{"info":"number node, value=1125","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=2547, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-10220","layer":3},{"info":"number node, value=2338","layer":4},{"info":"compute unary expreesion, input=2338, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10220, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":2},{"info":"number node, value=1038","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=1439, 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=-4192","layer":3},{"info":"number node, value=6305","layer":4},{"info":"compute unary expreesion, input=6305, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-47660","layer":3},{"info":"compute binary expreesion, left_input=-4192, right_input=-47660, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-38473242","layer":2},{"info":"compute binary expreesion, left_input=9080, right_input=-38473242, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=9080","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9080, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=18193","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1053∖⫖↰⪸2932)⪊≅)⩦(⫖↰⪸133B⪔⊥⫖↰⪸1035⨭⪣(⫖↰⪸2897∙∹∝⫖↰⪸2647))⋥≓≎((⫖↰⪸799⫃⨇⫖↰⪸1583)≌(⫖↰⪸142A⊪)↸(⫖↰⪸726≃⫖↰⪸9BB)⪪(⫖↰⪸3795⩁))=⫖↰⪸A641","reverse_text":"⫖↰⪸A641=((⫖↰⪸1053∖⫖↰⪸2932)⪊≅)⩦(⫖↰⪸133B⪔⊥⫖↰⪸1035⨭⪣(⫖↰⪸2897∙∹∝⫖↰⪸2647))⋥≓≎((⫖↰⪸799⫃⨇⫖↰⪸1583)≌(⫖↰⪸142A⊪)↸(⫖↰⪸726≃⫖↰⪸9BB)⪪(⫖↰⪸3795⩁))","cot":[{"info":"⫖↰⪸1053∖⫖↰⪸2932=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⪊≅=⫖↰⪸0","layer":2},{"info":"⫖↰⪸133B⪔⊥⫖↰⪸1035=⫖↰⪸2B43","layer":3},{"info":"⫖↰⪸2897∙∹∝⫖↰⪸2647=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2B43⨭⪣⫖↰⪸0=⫖↰⪸2258","layer":2},{"info":"⫖↰⪸0⩦⫖↰⪸2258=⫖↰⪸0","layer":1},{"info":"⫖↰⪸799⫃⨇⫖↰⪸1583=⫖↰⪸-5AB8","layer":3},{"info":"⫖↰⪸142A⊪=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-5AB8≌⫖↰⪸0=⫖↰⪸5308","layer":2},{"info":"⫖↰⪸726≃⫖↰⪸9BB=⫖↰⪸-2514","layer":3},{"info":"⫖↰⪸3795⩁=⫖↰⪸-236B8","layer":3},{"info":"⫖↰⪸-2514⪪⫖↰⪸-236B8=⫖↰⪸-10A74736","layer":2},{"info":"⫖↰⪸5308↸⫖↰⪸-10A74736=⫖↰⪸5308","layer":1},{"info":"⫖↰⪸0⋥≓≎⫖↰⪸5308=⫖↰⪸A641","layer":0}]}
{"id":789,"expression_no_base_symbol":"⊙↵-((⨦⪝(⪨⨬$6018$))↓⨍⋜)","expression":"⊙↵-((⨦⪝(⪨⨬⫖↰⪸3596))↓⨍⋜)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":109222,"operation_count":4,"complexity_ratio":27305.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":6018,"base":12}}}}},"used_operators":["oWn0xqSxBt","3DVzLFNsE9","SUjycxNXIR","5obUd6DV38"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","T2fj7uvVaJ","nlCqmYiOvY"],"result":"⫖↰⪸-1","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6018","layer":4},{"info":"compute unary expreesion, input=6018, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=108852","layer":1},{"info":"compute unary expreesion, input=108852, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":12,"result_base":12,"text":"⊙↵-((⨦⪝(⪨⨬⫖↰⪸3596))↓⨍⋜)=⫖↰⪸-1","reverse_text":"⫖↰⪸-1=⊙↵-((⨦⪝(⪨⨬⫖↰⪸3596))↓⨍⋜)","cot":[{"info":"⪨⨬⫖↰⪸3596=⫖↰⪸-37A","layer":3},{"info":"⨦⪝⫖↰⪸-37A=⫖↰⪸-1110","layer":2},{"info":"⫖↰⪸-1110↓⨍⋜=⫖↰⪸52BB0","layer":1},{"info":"⊙↵-⫖↰⪸52BB0=⫖↰⪸-1","layer":0}]}
{"id":790,"expression_no_base_symbol":"($4536$⩷∴$1408$∛≔)⪔⊥($2317$∊∟⩊$5854$⊍)⨒((⇾⩊⇾$3013$)∪⫐$1029$⨔⇊$4329$)≨($3219$⪒⊣⊆$1622$)≁($2656$⋥≓≎$3180$)","expression":"(⫖↰⪸2760⩷∴⫖↰⪸994∛≔)⪔⊥(⫖↰⪸1411∊∟⩊⫖↰⪸347A⊍)⨒((⇾⩊⇾⫖↰⪸18B1)∪⫐⫖↰⪸719⨔⇊⫖↰⪸2609)≨(⫖↰⪸1A43⪒⊣⊆⫖↰⪸B32)≁(⫖↰⪸1654⋥≓≎⫖↰⪸1A10)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":250323,"operation_count":13,"complexity_ratio":19255.615384615383,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4536,"base":12},"right_expr":{"type":"numeric_atoms","value":1408,"base":12}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2317,"base":12},"right_expr":{"type":"numeric_atoms","value":5854,"base":12}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3013,"base":12}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1029,"base":12},"right_expr":{"type":"numeric_atoms","value":4329,"base":12}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3219,"base":12},"right_expr":{"type":"numeric_atoms","value":1622,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2656,"base":12},"right_expr":{"type":"numeric_atoms","value":3180,"base":12}}}}},"used_operators":["y75s1iXyHd","HJ9erzHUuu","mGnSCrte3L","9FxExcQeMw","3nqY3DE9mg","ddLRYrp01A","0KMCeP1Jsh","7YooWSwCyH","bx9Z9DAK5y","JclMnS0uGI","8N2wDY1A35","eRqsBgTDFp","Qy55tPpLXF"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rysDP5nf3Z","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4536","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=1408, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6224","layer":3},{"info":"compute unary expreesion, input=6224, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":2},{"info":"number node, value=2317","layer":4},{"info":"number node, value=5854","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=5854, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5854","layer":3},{"info":"compute unary expreesion, input=5854, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=15882","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=15882, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-inf","layer":1},{"info":"number node, value=3013","layer":4},{"info":"compute unary expreesion, input=3013, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-33603","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=4329, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4329","layer":3},{"info":"compute binary expreesion, left_input=-33603, right_input=4329, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-33603","layer":2},{"info":"number node, value=3219","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=1622, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6438","layer":3},{"info":"number node, value=2656","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=3180, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3737","layer":3},{"info":"compute binary expreesion, left_input=6438, right_input=3737, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=76487","layer":2},{"info":"compute binary expreesion, left_input=-33603, right_input=76487, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=67862","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=67862, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2760⩷∴⫖↰⪸994∛≔)⪔⊥(⫖↰⪸1411∊∟⩊⫖↰⪸347A⊍)⨒((⇾⩊⇾⫖↰⪸18B1)∪⫐⫖↰⪸719⨔⇊⫖↰⪸2609)≨(⫖↰⪸1A43⪒⊣⊆⫖↰⪸B32)≁(⫖↰⪸1654⋥≓≎⫖↰⪸1A10)=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸2760⩷∴⫖↰⪸994∛≔)⪔⊥(⫖↰⪸1411∊∟⩊⫖↰⪸347A⊍)⨒((⇾⩊⇾⫖↰⪸18B1)∪⫐⫖↰⪸719⨔⇊⫖↰⪸2609)≨(⫖↰⪸1A43⪒⊣⊆⫖↰⪸B32)≁(⫖↰⪸1654⋥≓≎⫖↰⪸1A10)","cot":[{"info":"⫖↰⪸2760⩷∴⫖↰⪸994=⫖↰⪸3728","layer":3},{"info":"⫖↰⪸3728∛≔=-Inf","layer":2},{"info":"⫖↰⪸1411∊∟⩊⫖↰⪸347A=⫖↰⪸347A","layer":3},{"info":"⫖↰⪸347A⊍=⫖↰⪸9236","layer":2},{"info":"-Inf⪔⊥⫖↰⪸9236=-Inf","layer":1},{"info":"⇾⩊⇾⫖↰⪸18B1=⫖↰⪸-17543","layer":3},{"info":"⫖↰⪸719⨔⇊⫖↰⪸2609=⫖↰⪸2609","layer":3},{"info":"⫖↰⪸-17543∪⫐⫖↰⪸2609=⫖↰⪸-17543","layer":2},{"info":"⫖↰⪸1A43⪒⊣⊆⫖↰⪸B32=⫖↰⪸3886","layer":3},{"info":"⫖↰⪸1654⋥≓≎⫖↰⪸1A10=⫖↰⪸21B5","layer":3},{"info":"⫖↰⪸3886≁⫖↰⪸21B5=⫖↰⪸3831B","layer":2},{"info":"⫖↰⪸-17543≨⫖↰⪸3831B=⫖↰⪸33332","layer":1},{"info":"-Inf⨒⫖↰⪸33332=⫖↰⪸0","layer":0}]}
{"id":791,"expression_no_base_symbol":"⫛⫱⨽(($5301$⩘$3353$+($1169$⨕⋳))⪡($8141$⫚↹⊑$1063$)⪪$1641$⇻⋧≁$1552$)","expression":"⫛⫱⨽((⫖↰⪸3099⩘⫖↰⪸1B35+(⫖↰⪸815⨕⋳))⪡(⫖↰⪸4865⫚↹⊑⫖↰⪸747)⪪⫖↰⪸B49⇻⋧≁⫖↰⪸A94)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5770,"operation_count":8,"complexity_ratio":721.25,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5301,"base":12},"right_expr":{"type":"numeric_atoms","value":3353,"base":12}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1169,"base":12}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":8141,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1641,"base":12},"right_expr":{"type":"numeric_atoms","value":1552,"base":12}}}}},"used_operators":["DlLNRPXxWL","oraRL2iQuh","W4YGzv6Whe","cHh1gJQ2o6","4X4GscPmMf","xD69zh8xqp","dfKe02y8D2","jCPkEVoL5K"],"dependent_operators":["rGHVDoGpnC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","FU0Cs4j7VP","JclMnS0uGI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5301","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=5301, right_input=3353, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=22500","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=22500, op_id = W4YGzv6Whe binary_op_definition= 'None', output=22660","layer":2},{"info":"number node, value=8141","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=8141, right_input=1063, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1641","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=1552, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-447, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-106628","layer":2},{"info":"compute binary expreesion, left_input=22660, right_input=-106628, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-106523","layer":1},{"info":"compute unary expreesion, input=-106523, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽((⫖↰⪸3099⩘⫖↰⪸1B35+(⫖↰⪸815⨕⋳))⪡(⫖↰⪸4865⫚↹⊑⫖↰⪸747)⪪⫖↰⪸B49⇻⋧≁⫖↰⪸A94)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⫛⫱⨽((⫖↰⪸3099⩘⫖↰⪸1B35+(⫖↰⪸815⨕⋳))⪡(⫖↰⪸4865⫚↹⊑⫖↰⪸747)⪪⫖↰⪸B49⇻⋧≁⫖↰⪸A94)","cot":[{"info":"⫖↰⪸3099⩘⫖↰⪸1B35=⫖↰⪸114","layer":3},{"info":"⫖↰⪸815⨕⋳=⫖↰⪸11030","layer":3},{"info":"⫖↰⪸114+⫖↰⪸11030=⫖↰⪸11144","layer":2},{"info":"⫖↰⪸4865⫚↹⊑⫖↰⪸747=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸B49⇻⋧≁⫖↰⪸A94=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-313⪪⫖↰⪸-313=⫖↰⪸-51858","layer":2},{"info":"⫖↰⪸11144⪡⫖↰⪸-51858=⫖↰⪸-5178B","layer":1},{"info":"⫛⫱⨽⫖↰⪸-5178B=⫖↰⪸0","layer":0}]}
{"id":792,"expression_no_base_symbol":"(($2309$⪨≂$2499$)⪇≇⋚$2737$⊝⪿⪼$3267$⋻⩜⩜$3187$⪍↜⋙$3973$⪄$1851$≃$2737$)≳⇉($4788$⨭⪣$5027$)≌(⋣$1196$)⨸(($1125$∠⫱$1673$)∋($1832$↼⊘⨖$1269$))","expression":"((⫖↰⪸1405⪨≂⫖↰⪸1543)⪇≇⋚⫖↰⪸1701⊝⪿⪼⫖↰⪸1A83⋻⩜⩜⫖↰⪸1A17⪍↜⋙⫖↰⪸2371⪄⫖↰⪸10A3≃⫖↰⪸1701)≳⇉(⫖↰⪸2930⨭⪣⫖↰⪸2AAB)≌(⋣⫖↰⪸838)⨸((⫖↰⪸799∠⫱⫖↰⪸B75)∋(⫖↰⪸1088↼⊘⨖⫖↰⪸899))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":364147,"operation_count":15,"complexity_ratio":24276.466666666667,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2309,"base":12},"right_expr":{"type":"numeric_atoms","value":2499,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2737,"base":12},"right_expr":{"type":"numeric_atoms","value":3267,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3187,"base":12},"right_expr":{"type":"numeric_atoms","value":3973,"base":12}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1851,"base":12},"right_expr":{"type":"numeric_atoms","value":2737,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4788,"base":12},"right_expr":{"type":"numeric_atoms","value":5027,"base":12}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1196,"base":12}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1125,"base":12},"right_expr":{"type":"numeric_atoms","value":1673,"base":12}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1832,"base":12},"right_expr":{"type":"numeric_atoms","value":1269,"base":12}}}}},"used_operators":["V0kx6qeWkN","oDCm7WA9JY","3sJ7IOPOlU","sdazOOVcIp","3Oe9XWJUTD","SUmda5xLS4","L05ObWFQCd","YbVcJGFEVW","KmoU8R5UQR","lyWz822IDG","kn8WO9XteQ","zQWRhDnn8F","ukq6epAj5P","QvoQhV0rrE","bPywburJMS"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2309","layer":4},{"info":"number node, value=2499","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=2499, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-278","layer":3},{"info":"number node, value=2737","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=3267, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=50987","layer":3},{"info":"compute binary expreesion, left_input=-278, right_input=50987, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=3187","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=3973, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-24664","layer":3},{"info":"number node, value=1851","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=2737, 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=-7444","layer":3},{"info":"compute binary expreesion, left_input=-24664, right_input=-7444, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1924","layer":1},{"info":"number node, value=4788","layer":4},{"info":"number node, value=5027","layer":4},{"info":"compute binary expreesion, left_input=4788, right_input=5027, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3509","layer":3},{"info":"number node, value=1196","layer":4},{"info":"compute unary expreesion, input=1196, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-351529","layer":3},{"info":"compute binary expreesion, left_input=3509, right_input=-351529, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=1125","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1673, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1832","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=1269, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2316","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2316, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4809248","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4809248, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1924, 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":12,"result_base":12,"text":"((⫖↰⪸1405⪨≂⫖↰⪸1543)⪇≇⋚⫖↰⪸1701⊝⪿⪼⫖↰⪸1A83⋻⩜⩜⫖↰⪸1A17⪍↜⋙⫖↰⪸2371⪄⫖↰⪸10A3≃⫖↰⪸1701)≳⇉(⫖↰⪸2930⨭⪣⫖↰⪸2AAB)≌(⋣⫖↰⪸838)⨸((⫖↰⪸799∠⫱⫖↰⪸B75)∋(⫖↰⪸1088↼⊘⨖⫖↰⪸899))=NaN","reverse_text":"NaN=((⫖↰⪸1405⪨≂⫖↰⪸1543)⪇≇⋚⫖↰⪸1701⊝⪿⪼⫖↰⪸1A83⋻⩜⩜⫖↰⪸1A17⪍↜⋙⫖↰⪸2371⪄⫖↰⪸10A3≃⫖↰⪸1701)≳⇉(⫖↰⪸2930⨭⪣⫖↰⪸2AAB)≌(⋣⫖↰⪸838)⨸((⫖↰⪸799∠⫱⫖↰⪸B75)∋(⫖↰⪸1088↼⊘⨖⫖↰⪸899))","cot":[{"info":"⫖↰⪸1405⪨≂⫖↰⪸1543=⫖↰⪸-1B2","layer":3},{"info":"⫖↰⪸1701⊝⪿⪼⫖↰⪸1A83=⫖↰⪸2560B","layer":3},{"info":"⫖↰⪸-1B2⪇≇⋚⫖↰⪸2560B=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1A17⪍↜⋙⫖↰⪸2371=⫖↰⪸-12334","layer":3},{"info":"⫖↰⪸10A3≃⫖↰⪸1701=⫖↰⪸-4384","layer":3},{"info":"⫖↰⪸-12334⪄⫖↰⪸-4384=⫖↰⪸2377","layer":2},{"info":"⫖↰⪸0⋻⩜⩜⫖↰⪸2377=⫖↰⪸1144","layer":1},{"info":"⫖↰⪸2930⨭⪣⫖↰⪸2AAB=⫖↰⪸2045","layer":3},{"info":"⋣⫖↰⪸838=⫖↰⪸-14B521","layer":3},{"info":"⫖↰⪸2045≌⫖↰⪸-14B521=NaN","layer":2},{"info":"⫖↰⪸799∠⫱⫖↰⪸B75=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1088↼⊘⨖⫖↰⪸899=⫖↰⪸1410","layer":3},{"info":"⫖↰⪸86A∋⫖↰⪸1410=⫖↰⪸173B168","layer":2},{"info":"NaN⨸⫖↰⪸173B168=NaN","layer":1},{"info":"⫖↰⪸1144≳⇉NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"((⪹$2775$⨥⫆$2064$)⋐⇩⊬)⋘⨑⨽","expression":"((⪹⫖↰⪸1733⨥⫆⫖↰⪸1240)⋐⇩⊬)⋘⨑⨽","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":59,"operation_count":4,"complexity_ratio":14.75,"tree":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2775,"base":12},"right_expr":{"type":"numeric_atoms","value":2064,"base":12}}}}},"used_operators":["WmT3o8z6ya","JuuLT1NoCs","USyYr0JgAa","yXekIHxTD4"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","tifHPKVTfV","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⫖↰⪸-193B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2775","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=2064, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4004","layer":3},{"info":"compute unary expreesion, input=4004, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3824","layer":2},{"info":"compute unary expreesion, input=-3824, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=-7527","layer":1},{"info":"compute unary expreesion, input=-7527, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-36852","layer":0}],"base":12,"result_base":12,"text":"((⪹⫖↰⪸1733⨥⫆⫖↰⪸1240)⋐⇩⊬)⋘⨑⨽=⫖↰⪸-193B0","reverse_text":"⫖↰⪸-193B0=((⪹⫖↰⪸1733⨥⫆⫖↰⪸1240)⋐⇩⊬)⋘⨑⨽","cot":[{"info":"⫖↰⪸1733⨥⫆⫖↰⪸1240=⫖↰⪸2398","layer":3},{"info":"⪹⫖↰⪸2398=⫖↰⪸-2268","layer":2},{"info":"⫖↰⪸-2268⋐⇩⊬=⫖↰⪸-4433","layer":1},{"info":"⫖↰⪸-4433⋘⨑⨽=⫖↰⪸-193B0","layer":0}]}
{"id":794,"expression_no_base_symbol":"((≪$3918$)⫢⨠($2261$≦≮≮))⪎↠((⪛⨧$4886$)⫰⋱($8055$⇼⇔∾$1586$))∠↢(⇜($2860$⇞)⪃⊛⇣($2532$∼$3946$))","expression":"((≪⫖↰⪸2326)⫢⨠(⫖↰⪸1385≦≮≮))⪎↠((⪛⨧⫖↰⪸29B2)⫰⋱(⫖↰⪸47B3⇼⇔∾⫖↰⪸B02))∠↢(⇜(⫖↰⪸17A4⇞)⪃⊛⇣(⫖↰⪸1570∼⫖↰⪸234A))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1099,"operation_count":12,"complexity_ratio":91.58333333333333,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3918,"base":12}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2261,"base":12}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":4886,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8055,"base":12},"right_expr":{"type":"numeric_atoms","value":1586,"base":12}}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":2860,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2532,"base":12},"right_expr":{"type":"numeric_atoms","value":3946,"base":12}}}}},"used_operators":["KbjG8mgYpV","3tVxb0NHM4","xlXykHWxX1","Qtd6bqUJcN","D4vGDi5EA2","6o9Blt3TJ6","6NJAcO2OWT","tifHPKVTfV","lFBm8KRb8F","rrgAzCduG9","5JYyxRJd4f","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫖↰⪸6B662","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3918","layer":4},{"info":"compute unary expreesion, input=3918, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=2261","layer":4},{"info":"compute unary expreesion, input=2261, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6783","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-6783, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=45690","layer":2},{"info":"number node, value=4886","layer":4},{"info":"compute unary expreesion, input=4886, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=11173","layer":3},{"info":"number node, value=8055","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=8055, right_input=1586, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6469","layer":3},{"info":"compute binary expreesion, left_input=11173, right_input=-6469, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4637","layer":2},{"info":"compute binary expreesion, left_input=45690, right_input=-4637, 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=2860","layer":4},{"info":"compute unary expreesion, input=2860, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=11353","layer":3},{"info":"number node, value=2532","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=3946, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11353, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-10280","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-10280, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=144362","layer":0}],"base":12,"result_base":12,"text":"((≪⫖↰⪸2326)⫢⨠(⫖↰⪸1385≦≮≮))⪎↠((⪛⨧⫖↰⪸29B2)⫰⋱(⫖↰⪸47B3⇼⇔∾⫖↰⪸B02))∠↢(⇜(⫖↰⪸17A4⇞)⪃⊛⇣(⫖↰⪸1570∼⫖↰⪸234A))=⫖↰⪸6B662","reverse_text":"⫖↰⪸6B662=((≪⫖↰⪸2326)⫢⨠(⫖↰⪸1385≦≮≮))⪎↠((⪛⨧⫖↰⪸29B2)⫰⋱(⫖↰⪸47B3⇼⇔∾⫖↰⪸B02))∠↢(⇜(⫖↰⪸17A4⇞)⪃⊛⇣(⫖↰⪸1570∼⫖↰⪸234A))","cot":[{"info":"≪⫖↰⪸2326=⫖↰⪸641","layer":3},{"info":"⫖↰⪸1385≦≮≮=⫖↰⪸-3B13","layer":3},{"info":"⫖↰⪸641⫢⨠⫖↰⪸-3B13=⫖↰⪸22536","layer":2},{"info":"⪛⨧⫖↰⪸29B2=⫖↰⪸6571","layer":3},{"info":"⫖↰⪸47B3⇼⇔∾⫖↰⪸B02=⫖↰⪸-38B1","layer":3},{"info":"⫖↰⪸6571⫰⋱⫖↰⪸-38B1=⫖↰⪸-2825","layer":2},{"info":"⫖↰⪸22536⪎↠⫖↰⪸-2825=⫖↰⪸114","layer":1},{"info":"⫖↰⪸17A4⇞=⫖↰⪸66A1","layer":3},{"info":"⫖↰⪸1570∼⫖↰⪸234A=NaN","layer":3},{"info":"⫖↰⪸66A1⪃⊛⇣NaN=⫖↰⪸86A","layer":2},{"info":"⇜⫖↰⪸86A=⫖↰⪸-5B48","layer":1},{"info":"⫖↰⪸114∠↢⫖↰⪸-5B48=⫖↰⪸6B662","layer":0}]}
{"id":795,"expression_no_base_symbol":"(⨩∲⋌$2311$⪃⊛⇣$7908$)⊕∕(⫓⪴$2046$⨸$3163$)⨳⩥⨓(($5287$⩦$1084$⪚(-$2252$))↠)","expression":"(⨩∲⋌⫖↰⪸1407⪃⊛⇣⫖↰⪸46B0)⊕∕(⫓⪴⫖↰⪸1226⨸⫖↰⪸19B7)⨳⩥⨓((⫖↰⪸3087⩦⫖↰⪸764⪚(-⫖↰⪸1378))↠)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6882,"operation_count":10,"complexity_ratio":688.2,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2311,"base":12},"right_expr":{"type":"numeric_atoms","value":7908,"base":12}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2046,"base":12},"right_expr":{"type":"numeric_atoms","value":3163,"base":12}}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":5287,"base":12},"right_expr":{"type":"numeric_atoms","value":1084,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2252,"base":12}}}}},"used_operators":["nCS4ZIUYfx","9cloC0Ngie","aSik1wnThz","rrgAzCduG9","eLxqMNBOBk","KmoU8R5UQR","LBdsKIvxzf","HrjLwUk87U","0kmYd0q39Y","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9HNa5Wba9A","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⫖↰⪸912","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2311","layer":4},{"info":"number node, value=7908","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=7908, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1757","layer":2},{"info":"number node, value=2046","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=3163, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4092","layer":3},{"info":"compute unary expreesion, input=4092, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16744464","layer":2},{"info":"compute binary expreesion, left_input=-1757, right_input=16744464, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-1757","layer":1},{"info":"number node, value=5287","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=5287, right_input=1084, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=10574","layer":3},{"info":"number node, value=2252","layer":4},{"info":"compute unary expreesion, input=2252, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2252","layer":3},{"info":"compute binary expreesion, left_input=10574, right_input=-2252, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=25296","layer":2},{"info":"compute unary expreesion, input=25296, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-1757, right_input=-447, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1310","layer":0}],"base":12,"result_base":12,"text":"(⨩∲⋌⫖↰⪸1407⪃⊛⇣⫖↰⪸46B0)⊕∕(⫓⪴⫖↰⪸1226⨸⫖↰⪸19B7)⨳⩥⨓((⫖↰⪸3087⩦⫖↰⪸764⪚(-⫖↰⪸1378))↠)=⫖↰⪸912","reverse_text":"⫖↰⪸912=(⨩∲⋌⫖↰⪸1407⪃⊛⇣⫖↰⪸46B0)⊕∕(⫓⪴⫖↰⪸1226⨸⫖↰⪸19B7)⨳⩥⨓((⫖↰⪸3087⩦⫖↰⪸764⪚(-⫖↰⪸1378))↠)","cot":[{"info":"⫖↰⪸1407⪃⊛⇣⫖↰⪸46B0=⫖↰⪸86A","layer":3},{"info":"⨩∲⋌⫖↰⪸86A=⫖↰⪸-1025","layer":2},{"info":"⫖↰⪸1226⨸⫖↰⪸19B7=⫖↰⪸2450","layer":3},{"info":"⫓⪴⫖↰⪸2450=⫖↰⪸5736100","layer":2},{"info":"⫖↰⪸-1025⊕∕⫖↰⪸5736100=⫖↰⪸-1025","layer":1},{"info":"⫖↰⪸3087⩦⫖↰⪸764=⫖↰⪸6152","layer":3},{"info":"-⫖↰⪸1378=⫖↰⪸-1378","layer":3},{"info":"⫖↰⪸6152⪚⫖↰⪸-1378=⫖↰⪸12780","layer":2},{"info":"⫖↰⪸12780↠=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸-1025⨳⩥⨓⫖↰⪸-313=⫖↰⪸912","layer":0}]}
{"id":796,"expression_no_base_symbol":"((($1351$⋷$2202$)⨎$1298$⩼⇪↪$1172$)∘($7264$→⨶⪴$3951$∽($2926$⫚↹⊑$2205$)))∊∟⩊(($2795$⨎$3138$)⫞⩸⩒($1249$⪄$2120$)⫒⫫$3337$⫣⪄⊒$3492$≠≀$1870$⪮%⊝$1304$)","expression":"(((⫖↰⪸947⋷⫖↰⪸1336)⨎⫖↰⪸902⩼⇪↪⫖↰⪸818)∘(⫖↰⪸4254→⨶⪴⫖↰⪸2353∽(⫖↰⪸183A⫚↹⊑⫖↰⪸1339)))∊∟⩊((⫖↰⪸174B⨎⫖↰⪸1996)⫞⩸⩒(⫖↰⪸881⪄⫖↰⪸1288)⫒⫫⫖↰⪸1B21⫣⪄⊒⫖↰⪸2030≠≀⫖↰⪸10BA⪮%⊝⫖↰⪸908)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":447,"operation_count":15,"complexity_ratio":29.8,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1351,"base":12},"right_expr":{"type":"numeric_atoms","value":2202,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1298,"base":12},"right_expr":{"type":"numeric_atoms","value":1172,"base":12}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":7264,"base":12},"right_expr":{"type":"numeric_atoms","value":3951,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2926,"base":12},"right_expr":{"type":"numeric_atoms","value":2205,"base":12}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2795,"base":12},"right_expr":{"type":"numeric_atoms","value":3138,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1249,"base":12},"right_expr":{"type":"numeric_atoms","value":2120,"base":12}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3337,"base":12},"right_expr":{"type":"numeric_atoms","value":3492,"base":12}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1870,"base":12},"right_expr":{"type":"numeric_atoms","value":1304,"base":12}}}}},"used_operators":["ddLRYrp01A","Z5m6OM72h2","rJVOvQCfKK","23Mk6UjR3U","ocnLzx9CaJ","y4ImoPnbV5","bF6eod5Gvf","dfKe02y8D2","6Ko8hGgeMq","XGcMNugi78","SUmda5xLS4","IwW236VD4Y","RabNbG55vr","IWmyXbctLI"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eH2TOUuTDT","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫖↰⪸17","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=2202, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3053","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1172, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6391","layer":3},{"info":"compute binary expreesion, left_input=3053, right_input=-6391, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-6391","layer":2},{"info":"number node, value=7264","layer":4},{"info":"number node, value=3951","layer":4},{"info":"compute binary expreesion, left_input=7264, right_input=3951, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11853","layer":3},{"info":"number node, value=2926","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=2926, right_input=2205, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-11853, right_input=-447, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=60784","layer":2},{"info":"compute binary expreesion, left_input=-6391, right_input=60784, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-12782","layer":1},{"info":"number node, value=2795","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=2795, right_input=3138, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3138","layer":3},{"info":"number node, value=1249","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=2120, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-189421","layer":3},{"info":"compute binary expreesion, left_input=3138, right_input=-189421, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3138","layer":2},{"info":"number node, value=3337","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=3492, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14790","layer":3},{"info":"number node, value=1870","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=1304, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4056","layer":3},{"info":"compute binary expreesion, left_input=-14790, right_input=4056, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=29886","layer":2},{"info":"compute binary expreesion, left_input=3138, right_input=29886, 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=-12782, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=19","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸947⋷⫖↰⪸1336)⨎⫖↰⪸902⩼⇪↪⫖↰⪸818)∘(⫖↰⪸4254→⨶⪴⫖↰⪸2353∽(⫖↰⪸183A⫚↹⊑⫖↰⪸1339)))∊∟⩊((⫖↰⪸174B⨎⫖↰⪸1996)⫞⩸⩒(⫖↰⪸881⪄⫖↰⪸1288)⫒⫫⫖↰⪸1B21⫣⪄⊒⫖↰⪸2030≠≀⫖↰⪸10BA⪮%⊝⫖↰⪸908)=⫖↰⪸17","reverse_text":"⫖↰⪸17=(((⫖↰⪸947⋷⫖↰⪸1336)⨎⫖↰⪸902⩼⇪↪⫖↰⪸818)∘(⫖↰⪸4254→⨶⪴⫖↰⪸2353∽(⫖↰⪸183A⫚↹⊑⫖↰⪸1339)))∊∟⩊((⫖↰⪸174B⨎⫖↰⪸1996)⫞⩸⩒(⫖↰⪸881⪄⫖↰⪸1288)⫒⫫⫖↰⪸1B21⫣⪄⊒⫖↰⪸2030≠≀⫖↰⪸10BA⪮%⊝⫖↰⪸908)","cot":[{"info":"⫖↰⪸947⋷⫖↰⪸1336=⫖↰⪸1925","layer":3},{"info":"⫖↰⪸902⩼⇪↪⫖↰⪸818=⫖↰⪸-3847","layer":3},{"info":"⫖↰⪸1925⨎⫖↰⪸-3847=⫖↰⪸-3847","layer":2},{"info":"⫖↰⪸4254→⨶⪴⫖↰⪸2353=⫖↰⪸-6A39","layer":3},{"info":"⫖↰⪸183A⫚↹⊑⫖↰⪸1339=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸-6A39∽⫖↰⪸-313=⫖↰⪸2B214","layer":2},{"info":"⫖↰⪸-3847∘⫖↰⪸2B214=⫖↰⪸-7492","layer":1},{"info":"⫖↰⪸174B⨎⫖↰⪸1996=⫖↰⪸1996","layer":3},{"info":"⫖↰⪸881⪄⫖↰⪸1288=⫖↰⪸-91751","layer":3},{"info":"⫖↰⪸1996⫞⩸⩒⫖↰⪸-91751=⫖↰⪸1996","layer":2},{"info":"⫖↰⪸1B21⫣⪄⊒⫖↰⪸2030=⫖↰⪸-8686","layer":3},{"info":"⫖↰⪸10BA⪮%⊝⫖↰⪸908=⫖↰⪸2420","layer":3},{"info":"⫖↰⪸-8686≠≀⫖↰⪸2420=⫖↰⪸15366","layer":2},{"info":"⫖↰⪸1996⫒⫫⫖↰⪸15366=NaN","layer":1},{"info":"⫖↰⪸-7492∊∟⩊NaN=⫖↰⪸17","layer":0}]}
{"id":797,"expression_no_base_symbol":"((⩷($5806$∷$5757$))⫘(⊀$1356$⋕⪉⪜$1245$))∺≝⩲(($2284$⫳≱↱$1337$)⪮%⊝($3928$⪶≀⋏$2637$)∷)","expression":"((⩷(⫖↰⪸343A∷⫖↰⪸33B9))⫘(⊀⫖↰⪸950⋕⪉⪜⫖↰⪸879))∺≝⩲((⫖↰⪸13A4⫳≱↱⫖↰⪸935)⪮%⊝(⫖↰⪸2334⪶≀⋏⫖↰⪸1639)∷)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69790,"operation_count":10,"complexity_ratio":6979.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":5806,"base":12},"right_expr":{"type":"numeric_atoms","value":5757,"base":12}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1356,"base":12},"right_expr":{"type":"numeric_atoms","value":1245,"base":12}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2284,"base":12},"right_expr":{"type":"numeric_atoms","value":1337,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3928,"base":12},"right_expr":{"type":"numeric_atoms","value":2637,"base":12}}}}},"used_operators":["KPf6cnQVty","48vC8HMD2b","1h0rLqGiFr","D3AQDKkPcf","oPMjh9089D","z6LnFrNh4i","nFAOW8KTqp","IWmyXbctLI","ZvLB05nZmT","zR4jO40bMj"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5806","layer":4},{"info":"number node, value=5757","layer":4},{"info":"compute binary expreesion, left_input=5806, right_input=5757, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5757","layer":3},{"info":"compute unary expreesion, input=5757, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-69163","layer":2},{"info":"number node, value=1356","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=1245, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10946","layer":2},{"info":"compute binary expreesion, left_input=-69163, right_input=10946, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=81340093","layer":1},{"info":"number node, value=2284","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=1337, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3928","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=2637, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17290","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-17290, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-92","layer":2},{"info":"compute unary expreesion, input=-92, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-276","layer":1},{"info":"compute binary expreesion, left_input=81340093, right_input=-276, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⩷(⫖↰⪸343A∷⫖↰⪸33B9))⫘(⊀⫖↰⪸950⋕⪉⪜⫖↰⪸879))∺≝⩲((⫖↰⪸13A4⫳≱↱⫖↰⪸935)⪮%⊝(⫖↰⪸2334⪶≀⋏⫖↰⪸1639)∷)=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⩷(⫖↰⪸343A∷⫖↰⪸33B9))⫘(⊀⫖↰⪸950⋕⪉⪜⫖↰⪸879))∺≝⩲((⫖↰⪸13A4⫳≱↱⫖↰⪸935)⪮%⊝(⫖↰⪸2334⪶≀⋏⫖↰⪸1639)∷)","cot":[{"info":"⫖↰⪸343A∷⫖↰⪸33B9=⫖↰⪸33B9","layer":3},{"info":"⩷⫖↰⪸33B9=⫖↰⪸-34037","layer":2},{"info":"⫖↰⪸950⋕⪉⪜⫖↰⪸879=⫖↰⪸1756","layer":3},{"info":"⊀⫖↰⪸1756=⫖↰⪸6402","layer":2},{"info":"⫖↰⪸-34037⫘⫖↰⪸6402=⫖↰⪸232A7991","layer":1},{"info":"⫖↰⪸13A4⫳≱↱⫖↰⪸935=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸2334⪶≀⋏⫖↰⪸1639=⫖↰⪸-A00A","layer":3},{"info":"⫖↰⪸-150⪮%⊝⫖↰⪸-A00A=⫖↰⪸-78","layer":2},{"info":"⫖↰⪸-78∷=⫖↰⪸-1B0","layer":1},{"info":"⫖↰⪸232A7991∺≝⩲⫖↰⪸-1B0=⫖↰⪸114","layer":0}]}
{"id":798,"expression_no_base_symbol":"((($1521$⊧↖)⨑≵⋬$3181$⫸⊐$1355$)⩵∡(⨈⪑(⩷$2787$)))⇂≾⫗((⪁⇼($2439$∳⫺$1679$))⋷($2229$⫥∨⫟$4368$)⪥$1742$⫯⪬∳$1105$)","expression":"(((⫖↰⪸A69⊧↖)⨑≵⋬⫖↰⪸1A11⫸⊐⫖↰⪸94B)⩵∡(⨈⪑(⩷⫖↰⪸1743)))⇂≾⫗((⪁⇼(⫖↰⪸14B3∳⫺⫖↰⪸B7B))⋷(⫖↰⪸1359⫥∨⫟⫖↰⪸2640)⪥⫖↰⪸1012⫯⪬∳⫖↰⪸781)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2032,"operation_count":13,"complexity_ratio":156.30769230769232,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1521,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3181,"base":12},"right_expr":{"type":"numeric_atoms","value":1355,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2787,"base":12}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2439,"base":12},"right_expr":{"type":"numeric_atoms","value":1679,"base":12}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2229,"base":12},"right_expr":{"type":"numeric_atoms","value":4368,"base":12}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1742,"base":12},"right_expr":{"type":"numeric_atoms","value":1105,"base":12}}}}},"used_operators":["aBQ6xLxuTc","Y7wcNGrDQJ","XnXgA4xnOs","EKiFHuOFxO","mqXw5SEYmG","mp94q5OcYM","1h0rLqGiFr","23Mk6UjR3U","ZNVVrZ94lY","AzXXKTstlj","QbnwKVWMIQ","KYD54nUTWz","d7ASUq0ydm"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⫖↰⪸-47A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1521","layer":4},{"info":"compute unary expreesion, input=1521, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=13886900","layer":3},{"info":"number node, value=3181","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=1355, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5295","layer":3},{"info":"compute binary expreesion, left_input=13886900, right_input=5295, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=69398814","layer":2},{"info":"number node, value=2787","layer":4},{"info":"compute unary expreesion, input=2787, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-33523","layer":3},{"info":"compute unary expreesion, input=-33523, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=69398814, right_input=868, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-138796881","layer":1},{"info":"number node, value=2439","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1679, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=2229","layer":4},{"info":"number node, value=4368","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=4368, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1105, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7638","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7638, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-844","layer":1},{"info":"compute binary expreesion, left_input=-138796881, right_input=-844, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸A69⊧↖)⨑≵⋬⫖↰⪸1A11⫸⊐⫖↰⪸94B)⩵∡(⨈⪑(⩷⫖↰⪸1743)))⇂≾⫗((⪁⇼(⫖↰⪸14B3∳⫺⫖↰⪸B7B))⋷(⫖↰⪸1359⫥∨⫟⫖↰⪸2640)⪥⫖↰⪸1012⫯⪬∳⫖↰⪸781)=⫖↰⪸-47A","reverse_text":"⫖↰⪸-47A=(((⫖↰⪸A69⊧↖)⨑≵⋬⫖↰⪸1A11⫸⊐⫖↰⪸94B)⩵∡(⨈⪑(⩷⫖↰⪸1743)))⇂≾⫗((⪁⇼(⫖↰⪸14B3∳⫺⫖↰⪸B7B))⋷(⫖↰⪸1359⫥∨⫟⫖↰⪸2640)⪥⫖↰⪸1012⫯⪬∳⫖↰⪸781)","cot":[{"info":"⫖↰⪸A69⊧↖=⫖↰⪸4798498","layer":3},{"info":"⫖↰⪸1A11⫸⊐⫖↰⪸94B=⫖↰⪸3093","layer":3},{"info":"⫖↰⪸4798498⨑≵⋬⫖↰⪸3093=⫖↰⪸1B2A9426","layer":2},{"info":"⩷⫖↰⪸1743=⫖↰⪸-17497","layer":3},{"info":"⨈⪑⫖↰⪸-17497=⫖↰⪸604","layer":2},{"info":"⫖↰⪸1B2A9426⩵∡⫖↰⪸604=⫖↰⪸-3A596329","layer":1},{"info":"⫖↰⪸14B3∳⫺⫖↰⪸B7B=⫖↰⪸-198","layer":3},{"info":"⪁⇼⫖↰⪸-198=⫖↰⪸2B2","layer":2},{"info":"⫖↰⪸1359⫥∨⫟⫖↰⪸2640=NaN","layer":3},{"info":"⫖↰⪸1012⫯⪬∳⫖↰⪸781=⫖↰⪸4506","layer":3},{"info":"NaN⪥⫖↰⪸4506=NaN","layer":2},{"info":"⫖↰⪸2B2⋷NaN=⫖↰⪸-5A4","layer":1},{"info":"⫖↰⪸-3A596329⇂≾⫗⫖↰⪸-5A4=⫖↰⪸-47A","layer":0}]}
{"id":799,"expression_no_base_symbol":"(($9010$⫌⩉⩟$1741$)⫢⨠($1831$⪑⩈)≬⇓(∮($1217$⋭≵$5007$)))⪊≅","expression":"((⫖↰⪸526A⫌⩉⩟⫖↰⪸1011)⫢⨠(⫖↰⪸1087⪑⩈)≬⇓(∮(⫖↰⪸855⋭≵⫖↰⪸2A93)))⪊≅","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10014,"operation_count":7,"complexity_ratio":1430.5714285714287,"tree":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":9010,"base":12},"right_expr":{"type":"numeric_atoms","value":1741,"base":12}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1831,"base":12}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1217,"base":12},"right_expr":{"type":"numeric_atoms","value":5007,"base":12}}}}},"used_operators":["bjFbhXSADs","jWTQ2TZYIH","xlXykHWxX1","XIIwhv8d0m","C6VvDP6HwP","CqXKPLVYql","jBncVCNhdl"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=9010","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=9010, right_input=1741, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=14407","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=14407, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=1217","layer":4},{"info":"number node, value=5007","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=5007, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=6267","layer":3},{"info":"compute unary expreesion, input=6267, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸526A⫌⩉⩟⫖↰⪸1011)⫢⨠(⫖↰⪸1087⪑⩈)≬⇓(∮(⫖↰⪸855⋭≵⫖↰⪸2A93)))⪊≅=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸526A⫌⩉⩟⫖↰⪸1011)⫢⨠(⫖↰⪸1087⪑⩈)≬⇓(∮(⫖↰⪸855⋭≵⫖↰⪸2A93)))⪊≅","cot":[{"info":"⫖↰⪸526A⫌⩉⩟⫖↰⪸1011=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸1087⪑⩈=⫖↰⪸8407","layer":3},{"info":"⫖↰⪸-42⫢⨠⫖↰⪸8407=⫖↰⪸114","layer":2},{"info":"⫖↰⪸855⋭≵⫖↰⪸2A93=⫖↰⪸3763","layer":3},{"info":"∮⫖↰⪸3763=⫖↰⪸57","layer":2},{"info":"⫖↰⪸114≬⇓⫖↰⪸57=⫖↰⪸-1A","layer":1},{"info":"⫖↰⪸-1A⪊≅=⫖↰⪸0","layer":0}]}
{"id":800,"expression_no_base_symbol":"($2812$⇡⇂$4707$⩭)⨔⇊(($5819$⪃↞⩐)⊱⇼⊻(≉$3329$))⨻⩈⩔(↣≠⋷($2413$%$3366$)↹⊜(⫖→$3834$))","expression":"(⫖↰⪸1764⇡⇂⫖↰⪸2883⩭)⨔⇊((⫖↰⪸344B⪃↞⩐)⊱⇼⊻(≉⫖↰⪸1B15))⨻⩈⩔(↣≠⋷(⫖↰⪸1491%⫖↰⪸1B46)↹⊜(⫖→⫖↰⪸2276))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30613,"operation_count":11,"complexity_ratio":2783.0,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2812,"base":12},"right_expr":{"type":"numeric_atoms","value":4707,"base":12}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":5819,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3329,"base":12}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2413,"base":12},"right_expr":{"type":"numeric_atoms","value":3366,"base":12}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":3834,"base":12}}}}},"used_operators":["nEsXyWgiOK","JclMnS0uGI","yIPP7u6H5x","UMwdvZNt44","FyVja0WsTP","grXIztHqDa","e1ybzncUwg","Asc51vEJeQ","9bazX3JMtO","k8jYdgA6NY","U4ylXWHChL"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2812","layer":4},{"info":"number node, value=4707","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=4707, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"number node, value=5819","layer":4},{"info":"compute unary expreesion, input=5819, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=35220","layer":3},{"info":"number node, value=3329","layer":4},{"info":"compute unary expreesion, input=3329, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3860","layer":3},{"info":"compute binary expreesion, left_input=35220, right_input=3860, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=434, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=434","layer":1},{"info":"number node, value=2413","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=3366, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2413","layer":3},{"info":"number node, value=3834","layer":4},{"info":"compute unary expreesion, input=3834, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=2413, right_input=177, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=4022","layer":2},{"info":"compute unary expreesion, input=4022, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1764⇡⇂⫖↰⪸2883⩭)⨔⇊((⫖↰⪸344B⪃↞⩐)⊱⇼⊻(≉⫖↰⪸1B15))⨻⩈⩔(↣≠⋷(⫖↰⪸1491%⫖↰⪸1B46)↹⊜(⫖→⫖↰⪸2276))=NaN","reverse_text":"NaN=(⫖↰⪸1764⇡⇂⫖↰⪸2883⩭)⨔⇊((⫖↰⪸344B⪃↞⩐)⊱⇼⊻(≉⫖↰⪸1B15))⨻⩈⩔(↣≠⋷(⫖↰⪸1491%⫖↰⪸1B46)↹⊜(⫖→⫖↰⪸2276))","cot":[{"info":"⫖↰⪸1764⇡⇂⫖↰⪸2883=NaN","layer":3},{"info":"NaN⩭=NaN","layer":2},{"info":"⫖↰⪸344B⪃↞⩐=⫖↰⪸18470","layer":3},{"info":"≉⫖↰⪸1B15=⫖↰⪸2298","layer":3},{"info":"⫖↰⪸18470⊱⇼⊻⫖↰⪸2298=⫖↰⪸302","layer":2},{"info":"NaN⨔⇊⫖↰⪸302=⫖↰⪸302","layer":1},{"info":"⫖↰⪸1491%⫖↰⪸1B46=⫖↰⪸1491","layer":3},{"info":"⫖→⫖↰⪸2276=⫖↰⪸129","layer":3},{"info":"⫖↰⪸1491↹⊜⫖↰⪸129=⫖↰⪸23B2","layer":2},{"info":"↣≠⋷⫖↰⪸23B2=NaN","layer":1},{"info":"⫖↰⪸302⨻⩈⩔NaN=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"($1386$⋷$1588$)↬$1898$⨫⇇↔$1018$⊨(⇘$1396$)→⨶⪴($1873$⊾⪯⋞$3904$)⫌⩉⩟((⇁⨣⪵$1165$)⨎($2276$⊉≛↸$1654$))∘($1428$⩒⫫$5280$)⨂≜(⊑$4772$)","expression":"(⫖↰⪸976⋷⫖↰⪸B04)↬⫖↰⪸1122⨫⇇↔⫖↰⪸70A⊨(⇘⫖↰⪸984)→⨶⪴(⫖↰⪸1101⊾⪯⋞⫖↰⪸2314)⫌⩉⩟((⇁⨣⪵⫖↰⪸811)⨎(⫖↰⪸1398⊉≛↸⫖↰⪸B5A))∘(⫖↰⪸9B0⩒⫫⫖↰⪸3080)⨂≜(⊑⫖↰⪸2918)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":89008,"operation_count":15,"complexity_ratio":5933.866666666667,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1386,"base":12},"right_expr":{"type":"numeric_atoms","value":1588,"base":12}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1898,"base":12},"right_expr":{"type":"numeric_atoms","value":1018,"base":12}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1396,"base":12}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1873,"base":12},"right_expr":{"type":"numeric_atoms","value":3904,"base":12}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1165,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2276,"base":12},"right_expr":{"type":"numeric_atoms","value":1654,"base":12}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1428,"base":12},"right_expr":{"type":"numeric_atoms","value":5280,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":4772,"base":12}}}}},"used_operators":["XIIwhv8d0m","vg4gO5BX6G","B5M0gjZbta","23Mk6UjR3U","LXhwmt4mBO","bF6eod5Gvf","MGuIdZPyUC","HK0tfVPux8","Z5m6OM72h2","rJVOvQCfKK","inkyxCbjAn","DZ8iAZOCBD","k1SHOSEABc","KFSx94NKJn","IkUmn0D7oy"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","8w2t5hMYqp","9FxExcQeMw","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eH2TOUuTDT","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⫖↰⪸-42","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1588, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1790","layer":3},{"info":"number node, value=1898","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1018, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=1790, right_input=-527, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1396","layer":4},{"info":"compute unary expreesion, input=1396, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=78142","layer":3},{"info":"number node, value=1873","layer":4},{"info":"number node, value=3904","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=3904, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=7382","layer":3},{"info":"compute binary expreesion, left_input=78142, right_input=7382, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-22146","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22146, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2276","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=1654, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4552","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4552, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4552","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=5280","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=5280, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1126","layer":3},{"info":"number node, value=4772","layer":4},{"info":"compute unary expreesion, input=4772, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=1126, right_input=192, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4552, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9104","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9104, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸976⋷⫖↰⪸B04)↬⫖↰⪸1122⨫⇇↔⫖↰⪸70A⊨(⇘⫖↰⪸984)→⨶⪴(⫖↰⪸1101⊾⪯⋞⫖↰⪸2314)⫌⩉⩟((⇁⨣⪵⫖↰⪸811)⨎(⫖↰⪸1398⊉≛↸⫖↰⪸B5A))∘(⫖↰⪸9B0⩒⫫⫖↰⪸3080)⨂≜(⊑⫖↰⪸2918)=⫖↰⪸-42","reverse_text":"⫖↰⪸-42=(⫖↰⪸976⋷⫖↰⪸B04)↬⫖↰⪸1122⨫⇇↔⫖↰⪸70A⊨(⇘⫖↰⪸984)→⨶⪴(⫖↰⪸1101⊾⪯⋞⫖↰⪸2314)⫌⩉⩟((⇁⨣⪵⫖↰⪸811)⨎(⫖↰⪸1398⊉≛↸⫖↰⪸B5A))∘(⫖↰⪸9B0⩒⫫⫖↰⪸3080)⨂≜(⊑⫖↰⪸2918)","cot":[{"info":"⫖↰⪸976⋷⫖↰⪸B04=⫖↰⪸1052","layer":3},{"info":"⫖↰⪸1122⨫⇇↔⫖↰⪸70A=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸1052↬⫖↰⪸-37B=NaN","layer":2},{"info":"⇘⫖↰⪸984=⫖↰⪸3927A","layer":3},{"info":"⫖↰⪸1101⊾⪯⋞⫖↰⪸2314=⫖↰⪸4332","layer":3},{"info":"⫖↰⪸3927A→⨶⪴⫖↰⪸4332=⫖↰⪸-10996","layer":2},{"info":"NaN⊨⫖↰⪸-10996=NaN","layer":1},{"info":"⇁⨣⪵⫖↰⪸811=NaN","layer":3},{"info":"⫖↰⪸1398⊉≛↸⫖↰⪸B5A=⫖↰⪸2774","layer":3},{"info":"NaN⨎⫖↰⪸2774=⫖↰⪸2774","layer":2},{"info":"⫖↰⪸9B0⩒⫫⫖↰⪸3080=⫖↰⪸79A","layer":3},{"info":"⊑⫖↰⪸2918=⫖↰⪸140","layer":3},{"info":"⫖↰⪸79A⨂≜⫖↰⪸140=NaN","layer":2},{"info":"⫖↰⪸2774∘NaN=⫖↰⪸5328","layer":1},{"info":"NaN⫌⩉⩟⫖↰⪸5328=⫖↰⪸-42","layer":0}]}
{"id":802,"expression_no_base_symbol":"(($2415$⪨≂$3453$)⨘⋶⪀)⫞⩸⩒(($4607$⇪⋭)⊬⨰($5394$⫠↝⫳))≧⫂∧(⇤←$4738$⫣⪄⊒$4699$)⋾⨃∁((⊙↵-$3372$)⊋≦⊧$3264$≧⫂∧$1990$)","expression":"((⫖↰⪸1493⪨≂⫖↰⪸1BB9)⨘⋶⪀)⫞⩸⩒((⫖↰⪸27BB⇪⋭)⊬⨰(⫖↰⪸3156⫠↝⫳))≧⫂∧(⇤←⫖↰⪸28AA⫣⪄⊒⫖↰⪸2877)⋾⨃∁((⊙↵-⫖↰⪸1B50)⊋≦⊧⫖↰⪸1A80≧⫂∧⫖↰⪸119A)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":61547,"operation_count":13,"complexity_ratio":4734.384615384615,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2415,"base":12},"right_expr":{"type":"numeric_atoms","value":3453,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":4607,"base":12}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":5394,"base":12}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4738,"base":12},"right_expr":{"type":"numeric_atoms","value":4699,"base":12}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3372,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3264,"base":12},"right_expr":{"type":"numeric_atoms","value":1990,"base":12}}}}},"used_operators":["Ph9nP6C5qx","XGcMNugi78","XVKwrhznBb","sdazOOVcIp","s3Fd5m9Dh2","Z8Yg6dlDSp","8n5YIzOsVS","212REbPD9h","jfAgQ2OQeM","RabNbG55vr","oRDoc9rAEX","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫖↰⪸157809","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2415","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=3453, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1974","layer":3},{"info":"compute unary expreesion, input=-1974, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"number node, value=4607","layer":4},{"info":"compute unary expreesion, input=4607, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=5394","layer":4},{"info":"compute unary expreesion, input=5394, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=173231","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=173231, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"number node, value=4738","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=4738, right_input=4699, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-19230","layer":3},{"info":"compute unary expreesion, input=-19230, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=19664","layer":2},{"info":"number node, value=3372","layer":4},{"info":"compute unary expreesion, input=3372, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3264","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=3264, right_input=1990, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1517","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1517, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=19664, right_input=192, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=366242","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=366242, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=365769","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1493⪨≂⫖↰⪸1BB9)⨘⋶⪀)⫞⩸⩒((⫖↰⪸27BB⇪⋭)⊬⨰(⫖↰⪸3156⫠↝⫳))≧⫂∧(⇤←⫖↰⪸28AA⫣⪄⊒⫖↰⪸2877)⋾⨃∁((⊙↵-⫖↰⪸1B50)⊋≦⊧⫖↰⪸1A80≧⫂∧⫖↰⪸119A)=⫖↰⪸157809","reverse_text":"⫖↰⪸157809=((⫖↰⪸1493⪨≂⫖↰⪸1BB9)⨘⋶⪀)⫞⩸⩒((⫖↰⪸27BB⇪⋭)⊬⨰(⫖↰⪸3156⫠↝⫳))≧⫂∧(⇤←⫖↰⪸28AA⫣⪄⊒⫖↰⪸2877)⋾⨃∁((⊙↵-⫖↰⪸1B50)⊋≦⊧⫖↰⪸1A80≧⫂∧⫖↰⪸119A)","cot":[{"info":"⫖↰⪸1493⪨≂⫖↰⪸1BB9=⫖↰⪸-1186","layer":3},{"info":"⫖↰⪸-1186⨘⋶⪀=NaN","layer":2},{"info":"⫖↰⪸27BB⇪⋭=NaN","layer":3},{"info":"⫖↰⪸3156⫠↝⫳=⫖↰⪸842BB","layer":3},{"info":"NaN⊬⨰⫖↰⪸842BB=NaN","layer":2},{"info":"NaN⫞⩸⩒NaN=NaN","layer":1},{"info":"⫖↰⪸28AA⫣⪄⊒⫖↰⪸2877=⫖↰⪸-B166","layer":3},{"info":"⇤←⫖↰⪸-B166=⫖↰⪸B468","layer":2},{"info":"⊙↵-⫖↰⪸1B50=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1A80≧⫂∧⫖↰⪸119A=⫖↰⪸A65","layer":3},{"info":"⫖↰⪸-1⊋≦⊧⫖↰⪸A65=⫖↰⪸140","layer":2},{"info":"⫖↰⪸B468⋾⨃∁⫖↰⪸140=⫖↰⪸157B42","layer":1},{"info":"NaN≧⫂∧⫖↰⪸157B42=⫖↰⪸157809","layer":0}]}
{"id":803,"expression_no_base_symbol":"$1022$⇻⋧≁$4813$⪟⇏($3471$⋕⪉⪜$1288$)⨥⫆(($1480$⩹$6405$)⪔⊥(⩦⊞$3107$))⊲⩕⊾((≤/$3395$⩣⫁∢$1012$)⩚⊴⇥$5957$∴$2066$⨚⇆$2377$∛$5744$)","expression":"⫖↰⪸712⇻⋧≁⫖↰⪸2951⪟⇏(⫖↰⪸2013⋕⪉⪜⫖↰⪸8B4)⨥⫆((⫖↰⪸A34⩹⫖↰⪸3859)⪔⊥(⩦⊞⫖↰⪸196B))⊲⩕⊾((≤/⫖↰⪸1B6B⩣⫁∢⫖↰⪸704)⩚⊴⇥⫖↰⪸3545∴⫖↰⪸1242⨚⇆⫖↰⪸1461∛⫖↰⪸33A8)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":96259,"operation_count":14,"complexity_ratio":6875.642857142857,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1022,"base":12},"right_expr":{"type":"numeric_atoms","value":4813,"base":12}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3471,"base":12},"right_expr":{"type":"numeric_atoms","value":1288,"base":12}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1480,"base":12},"right_expr":{"type":"numeric_atoms","value":6405,"base":12}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3107,"base":12}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3395,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5957,"base":12},"right_expr":{"type":"numeric_atoms","value":2066,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2377,"base":12},"right_expr":{"type":"numeric_atoms","value":5744,"base":12}}}}},"used_operators":["DmTXOeWf9t","yXekIHxTD4","GODebY97qR","jCPkEVoL5K","z6LnFrNh4i","HJ9erzHUuu","2Wsdkap16l","u7fv1HBiaC","NTOWxs364D","eLAdDNolq6","JDUIKTTSIa","lwHaAYXP2r","hrf7POJlIJ","w2537kitQq"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=4813, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=3471","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=1288, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2802, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1480","layer":4},{"info":"number node, value=6405","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=6405, 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=6403","layer":3},{"info":"number node, value=3107","layer":4},{"info":"compute unary expreesion, input=3107, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2834","layer":3},{"info":"compute binary expreesion, left_input=6403, right_input=-2834, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-5604","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5604, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"number node, value=3395","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=1012, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6629","layer":3},{"info":"compute unary expreesion, input=-6629, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=7113","layer":2},{"info":"number node, value=5957","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=5957, right_input=2066, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=13562","layer":3},{"info":"number node, value=2377","layer":4},{"info":"number node, value=5744","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=5744, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=13562, right_input=-670, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7113, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸712⇻⋧≁⫖↰⪸2951⪟⇏(⫖↰⪸2013⋕⪉⪜⫖↰⪸8B4)⨥⫆((⫖↰⪸A34⩹⫖↰⪸3859)⪔⊥(⩦⊞⫖↰⪸196B))⊲⩕⊾((≤/⫖↰⪸1B6B⩣⫁∢⫖↰⪸704)⩚⊴⇥⫖↰⪸3545∴⫖↰⪸1242⨚⇆⫖↰⪸1461∛⫖↰⪸33A8)=NaN","reverse_text":"NaN=⫖↰⪸712⇻⋧≁⫖↰⪸2951⪟⇏(⫖↰⪸2013⋕⪉⪜⫖↰⪸8B4)⨥⫆((⫖↰⪸A34⩹⫖↰⪸3859)⪔⊥(⩦⊞⫖↰⪸196B))⊲⩕⊾((≤/⫖↰⪸1B6B⩣⫁∢⫖↰⪸704)⩚⊴⇥⫖↰⪸3545∴⫖↰⪸1242⨚⇆⫖↰⪸1461∛⫖↰⪸33A8)","cot":[{"info":"⫖↰⪸712⇻⋧≁⫖↰⪸2951=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸2013⋕⪉⪜⫖↰⪸8B4=⫖↰⪸1756","layer":3},{"info":"⫖↰⪸-313⪟⇏⫖↰⪸1756=⫖↰⪸0","layer":2},{"info":"⫖↰⪸A34⩹⫖↰⪸3859=⫖↰⪸3857","layer":3},{"info":"⩦⊞⫖↰⪸196B=⫖↰⪸-1782","layer":3},{"info":"⫖↰⪸3857⪔⊥⫖↰⪸-1782=⫖↰⪸-32B0","layer":2},{"info":"⫖↰⪸0⨥⫆⫖↰⪸-32B0=⫖↰⪸-1","layer":1},{"info":"⫖↰⪸1B6B⩣⫁∢⫖↰⪸704=⫖↰⪸-3A05","layer":3},{"info":"≤/⫖↰⪸-3A05=⫖↰⪸4149","layer":2},{"info":"⫖↰⪸3545∴⫖↰⪸1242=⫖↰⪸7A22","layer":3},{"info":"⫖↰⪸1461∛⫖↰⪸33A8=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸7A22⨚⇆⫖↰⪸-47A=NaN","layer":2},{"info":"⫖↰⪸4149⩚⊴⇥NaN=NaN","layer":1},{"info":"⫖↰⪸-1⊲⩕⊾NaN=NaN","layer":0}]}
{"id":804,"expression_no_base_symbol":"(⇖((⨞⊢$1229$)≬⇓$1650$⪪$1872$))≦≮≮","expression":"(⇖((⨞⊢⫖↰⪸865)≬⇓⫖↰⪸B56⪪⫖↰⪸1100))≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":9467,"operation_count":5,"complexity_ratio":1893.4,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1229,"base":12}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1650,"base":12},"right_expr":{"type":"numeric_atoms","value":1872,"base":12}}}}},"used_operators":["D4vGDi5EA2","tfWHHpNKUN","jWTQ2TZYIH","xUOZtlo3hN","xD69zh8xqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI"],"result":"⫖↰⪸-340","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1229","layer":4},{"info":"compute unary expreesion, input=1229, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1403","layer":3},{"info":"number node, value=1650","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1872, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-245239","layer":3},{"info":"compute binary expreesion, left_input=-1403, right_input=-245239, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=19847260","layer":2},{"info":"compute unary expreesion, input=19847260, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-480","layer":0}],"base":12,"result_base":12,"text":"(⇖((⨞⊢⫖↰⪸865)≬⇓⫖↰⪸B56⪪⫖↰⪸1100))≦≮≮=⫖↰⪸-340","reverse_text":"⫖↰⪸-340=(⇖((⨞⊢⫖↰⪸865)≬⇓⫖↰⪸B56⪪⫖↰⪸1100))≦≮≮","cot":[{"info":"⨞⊢⫖↰⪸865=⫖↰⪸-98B","layer":3},{"info":"⫖↰⪸B56⪪⫖↰⪸1100=⫖↰⪸-B9B07","layer":3},{"info":"⫖↰⪸-98B≬⇓⫖↰⪸-B9B07=⫖↰⪸6791824","layer":2},{"info":"⇖⫖↰⪸6791824=⫖↰⪸114","layer":1},{"info":"⫖↰⪸114≦≮≮=⫖↰⪸-340","layer":0}]}
{"id":805,"expression_no_base_symbol":"↥≼⋛(($1903$⩨$1026$)≒∊(⊢≑≆$2021$))∴(($1975$↓⨍⋜)⩍⋽⫝̸($1206$≬⋮$3038$))","expression":"↥≼⋛((⫖↰⪸1127⩨⫖↰⪸716)≒∊(⊢≑≆⫖↰⪸1205))∴((⫖↰⪸1187↓⨍⋜)⩍⋽⫝̸(⫖↰⪸846≬⋮⫖↰⪸1912))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":317,"operation_count":8,"complexity_ratio":39.625,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1903,"base":12},"right_expr":{"type":"numeric_atoms","value":1026,"base":12}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2021,"base":12}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1975,"base":12}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1206,"base":12},"right_expr":{"type":"numeric_atoms","value":3038,"base":12}}}}},"used_operators":["x5lMkHmzsq","hrf7POJlIJ","5KTvxBwnZo","2DlMacCsIx","27wFxooxGf","BiWNJpBvwn","3DVzLFNsE9","kbkesczE7y"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","Ph9nP6C5qx","xUOZtlo3hN","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⫖↰⪸-95","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1903","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=1026, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2021","layer":4},{"info":"compute unary expreesion, input=2021, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=8536","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8536, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"number node, value=1975","layer":4},{"info":"compute unary expreesion, input=1975, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=3038, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=868, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-78","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=-78, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=2616","layer":1},{"info":"compute unary expreesion, input=2616, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":12,"result_base":12,"text":"↥≼⋛((⫖↰⪸1127⩨⫖↰⪸716)≒∊(⊢≑≆⫖↰⪸1205))∴((⫖↰⪸1187↓⨍⋜)⩍⋽⫝̸(⫖↰⪸846≬⋮⫖↰⪸1912))=⫖↰⪸-95","reverse_text":"⫖↰⪸-95=↥≼⋛((⫖↰⪸1127⩨⫖↰⪸716)≒∊(⊢≑≆⫖↰⪸1205))∴((⫖↰⪸1187↓⨍⋜)⩍⋽⫝̸(⫖↰⪸846≬⋮⫖↰⪸1912))","cot":[{"info":"⫖↰⪸1127⩨⫖↰⪸716=⫖↰⪸0","layer":3},{"info":"⊢≑≆⫖↰⪸1205=⫖↰⪸4B34","layer":3},{"info":"⫖↰⪸0≒∊⫖↰⪸4B34=⫖↰⪸344","layer":2},{"info":"⫖↰⪸1187↓⨍⋜=⫖↰⪸3992","layer":3},{"info":"⫖↰⪸846≬⋮⫖↰⪸1912=⫖↰⪸604","layer":3},{"info":"⫖↰⪸3992⩍⋽⫝̸⫖↰⪸604=⫖↰⪸-66","layer":2},{"info":"⫖↰⪸344∴⫖↰⪸-66=⫖↰⪸1620","layer":1},{"info":"↥≼⋛⫖↰⪸1620=⫖↰⪸-95","layer":0}]}
{"id":806,"expression_no_base_symbol":"((($5097$⋫)∷$2152$≀⫉$5686$)⪘⫢($2126$↺$1506$)⨥⫆($2913$⇤$2083$))∥⊢⊲(($1964$⨟⋌⩍$5639$⪭≯($1041$⋭≵$2293$))∋(⪹$2462$)⋹⋡⊁($1708$∇⊂⋱$3161$))","expression":"(((⫖↰⪸2B49⋫)∷⫖↰⪸12B4≀⫉⫖↰⪸335A)⪘⫢(⫖↰⪸1292↺⫖↰⪸A56)⨥⫆(⫖↰⪸1829⇤⫖↰⪸1257))∥⊢⊲((⫖↰⪸1178⨟⋌⩍⫖↰⪸331B⪭≯(⫖↰⪸729⋭≵⫖↰⪸13B1))∋(⪹⫖↰⪸1512)⋹⋡⊁(⫖↰⪸BA4∇⊂⋱⫖↰⪸19B5))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":68178,"operation_count":15,"complexity_ratio":4545.2,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5097,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2152,"base":12},"right_expr":{"type":"numeric_atoms","value":5686,"base":12}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2126,"base":12},"right_expr":{"type":"numeric_atoms","value":1506,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2913,"base":12},"right_expr":{"type":"numeric_atoms","value":2083,"base":12}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1964,"base":12},"right_expr":{"type":"numeric_atoms","value":5639,"base":12}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1041,"base":12},"right_expr":{"type":"numeric_atoms","value":2293,"base":12}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2462,"base":12}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1708,"base":12},"right_expr":{"type":"numeric_atoms","value":3161,"base":12}}}}},"used_operators":["v1UQAVDJRr","oacrs7FA3X","D3AQDKkPcf","JL8yIekQnl","oZj3VtZNQx","yXekIHxTD4","7j4O788W3g","YSKBFp38Pu","ukq6epAj5P","XAx5wpdLa6","rGHVDoGpnC","jBncVCNhdl","As8RqfVLgs","USyYr0JgAa","nhYeJWJD5X"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","7j4O788W3g","tmPS8pqC7x","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Tcnh7f0tEr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tifHPKVTfV","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5097","layer":4},{"info":"compute unary expreesion, input=5097, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5097","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=5686","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=5686, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=5097, right_input=2822, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2822","layer":2},{"info":"number node, value=2126","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=1506, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1506","layer":3},{"info":"number node, value=2913","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=2913, right_input=2083, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22132","layer":3},{"info":"compute binary expreesion, left_input=1506, right_input=-22132, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-1, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1964","layer":4},{"info":"number node, value=5639","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=5639, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2293, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5211","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5211, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2462","layer":4},{"info":"compute unary expreesion, input=2462, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2282","layer":3},{"info":"number node, value=1708","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=3161, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2870","layer":3},{"info":"compute binary expreesion, left_input=-2282, right_input=2870, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3620","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3620, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸2B49⋫)∷⫖↰⪸12B4≀⫉⫖↰⪸335A)⪘⫢(⫖↰⪸1292↺⫖↰⪸A56)⨥⫆(⫖↰⪸1829⇤⫖↰⪸1257))∥⊢⊲((⫖↰⪸1178⨟⋌⩍⫖↰⪸331B⪭≯(⫖↰⪸729⋭≵⫖↰⪸13B1))∋(⪹⫖↰⪸1512)⋹⋡⊁(⫖↰⪸BA4∇⊂⋱⫖↰⪸19B5))=NaN","reverse_text":"NaN=(((⫖↰⪸2B49⋫)∷⫖↰⪸12B4≀⫉⫖↰⪸335A)⪘⫢(⫖↰⪸1292↺⫖↰⪸A56)⨥⫆(⫖↰⪸1829⇤⫖↰⪸1257))∥⊢⊲((⫖↰⪸1178⨟⋌⩍⫖↰⪸331B⪭≯(⫖↰⪸729⋭≵⫖↰⪸13B1))∋(⪹⫖↰⪸1512)⋹⋡⊁(⫖↰⪸BA4∇⊂⋱⫖↰⪸19B5))","cot":[{"info":"⫖↰⪸2B49⋫=⫖↰⪸2B49","layer":3},{"info":"⫖↰⪸12B4≀⫉⫖↰⪸335A=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸2B49∷⫖↰⪸1772=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸1292↺⫖↰⪸A56=⫖↰⪸A56","layer":3},{"info":"⫖↰⪸1829⇤⫖↰⪸1257=⫖↰⪸-10984","layer":3},{"info":"⫖↰⪸A56⨥⫆⫖↰⪸-10984=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸1772⪘⫢⫖↰⪸-1=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1178⨟⋌⩍⫖↰⪸331B=NaN","layer":3},{"info":"⫖↰⪸729⋭≵⫖↰⪸13B1=⫖↰⪸3023","layer":3},{"info":"NaN⪭≯⫖↰⪸3023=NaN","layer":2},{"info":"⪹⫖↰⪸1512=⫖↰⪸-13A2","layer":3},{"info":"⫖↰⪸BA4∇⊂⋱⫖↰⪸19B5=⫖↰⪸17B2","layer":3},{"info":"⫖↰⪸-13A2⋹⋡⊁⫖↰⪸17B2=⫖↰⪸2118","layer":2},{"info":"NaN∋⫖↰⪸2118=NaN","layer":1},{"info":"⫖↰⪸0∥⊢⊲NaN=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"(≔(⫓⪴$2107$))⩨(⩰$4245$)∺≝⩲($1082$⫯⪬∳$7934$)-($6806$⩨$3393$⪨≂$5568$≭$3085$)∥⊢⊲(⪭⩑⪱($4245$⋣⋖$3621$))","expression":"(≔(⫓⪴⫖↰⪸1277))⩨(⩰⫖↰⪸2559)∺≝⩲(⫖↰⪸762⫯⪬∳⫖↰⪸4712)-(⫖↰⪸3B32⩨⫖↰⪸1B69⪨≂⫖↰⪸3280≭⫖↰⪸1951)∥⊢⊲(⪭⩑⪱(⫖↰⪸2559⋣⋖⫖↰⪸2119))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":50622,"operation_count":13,"complexity_ratio":3894.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2107,"base":12}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":4245,"base":12}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1082,"base":12},"right_expr":{"type":"numeric_atoms","value":7934,"base":12}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6806,"base":12},"right_expr":{"type":"numeric_atoms","value":3393,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5568,"base":12},"right_expr":{"type":"numeric_atoms","value":3085,"base":12}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4245,"base":12},"right_expr":{"type":"numeric_atoms","value":3621,"base":12}}}}},"used_operators":["rysDP5nf3Z","2DlMacCsIx","8FLs4eVsLt","eLxqMNBOBk","KPf6cnQVty","WkeUrDK8WX","d7ASUq0ydm","v1UQAVDJRr","sdazOOVcIp","rxpJgHHUmx","SIgE0bArFf","J0M6qkBnIM"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9HNa5Wba9A","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⫖↰⪸-29532B9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2107","layer":4},{"info":"compute unary expreesion, input=2107, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4439449","layer":3},{"info":"compute unary expreesion, input=4439449, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-124303278","layer":2},{"info":"number node, value=4245","layer":4},{"info":"compute unary expreesion, input=4245, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5245","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=7934","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=7934, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-2491","layer":3},{"info":"compute binary expreesion, left_input=-5245, right_input=-2491, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-124303278, right_input=160, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"number node, value=6806","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=3393, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5568","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=5568, right_input=3085, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=4245","layer":4},{"info":"number node, value=3621","layer":4},{"info":"compute binary expreesion, left_input=4245, right_input=3621, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4245","layer":3},{"info":"compute unary expreesion, input=4245, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=8320752, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8320749","layer":0}],"base":12,"result_base":12,"text":"(≔(⫓⪴⫖↰⪸1277))⩨(⩰⫖↰⪸2559)∺≝⩲(⫖↰⪸762⫯⪬∳⫖↰⪸4712)-(⫖↰⪸3B32⩨⫖↰⪸1B69⪨≂⫖↰⪸3280≭⫖↰⪸1951)∥⊢⊲(⪭⩑⪱(⫖↰⪸2559⋣⋖⫖↰⪸2119))=⫖↰⪸-29532B9","reverse_text":"⫖↰⪸-29532B9=(≔(⫓⪴⫖↰⪸1277))⩨(⩰⫖↰⪸2559)∺≝⩲(⫖↰⪸762⫯⪬∳⫖↰⪸4712)-(⫖↰⪸3B32⩨⫖↰⪸1B69⪨≂⫖↰⪸3280≭⫖↰⪸1951)∥⊢⊲(⪭⩑⪱(⫖↰⪸2559⋣⋖⫖↰⪸2119))","cot":[{"info":"⫓⪴⫖↰⪸1277=⫖↰⪸15A1161","layer":3},{"info":"≔⫖↰⪸15A1161=⫖↰⪸-35766926","layer":2},{"info":"⩰⫖↰⪸2559=⫖↰⪸-3051","layer":3},{"info":"⫖↰⪸762⫯⪬∳⫖↰⪸4712=⫖↰⪸-1537","layer":3},{"info":"⫖↰⪸-3051∺≝⩲⫖↰⪸-1537=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-35766926⩨⫖↰⪸114=⫖↰⪸3","layer":1},{"info":"⫖↰⪸3B32⩨⫖↰⪸1B69=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3280≭⫖↰⪸1951=NaN","layer":3},{"info":"⫖↰⪸0⪨≂NaN=NaN","layer":2},{"info":"⫖↰⪸2559⋣⋖⫖↰⪸2119=⫖↰⪸2559","layer":3},{"info":"⪭⩑⪱⫖↰⪸2559=⫖↰⪸2953300","layer":2},{"info":"NaN∥⊢⊲⫖↰⪸2953300=⫖↰⪸2953300","layer":1},{"info":"⫖↰⪸3-⫖↰⪸2953300=⫖↰⪸-29532B9","layer":0}]}
{"id":808,"expression_no_base_symbol":"(($7060$∇⊂⋱$8003$)↯⫤)∓⋝(⪹($1403$⫚↹⊑$7982$))⫉⨲⊜(($1276$⩤)⪨⊡($1993$⪒$1070$)∕⩚($9324$∓⋝$1782$)⪎↠($2481$⋳⪒$2453$))","expression":"((⫖↰⪸4104∇⊂⋱⫖↰⪸476B)↯⫤)∓⋝(⪹(⫖↰⪸98B⫚↹⊑⫖↰⪸4752))⫉⨲⊜((⫖↰⪸8A4⩤)⪨⊡(⫖↰⪸11A1⪒⫖↰⪸752)∕⩚(⫖↰⪸5490∓⋝⫖↰⪸1046)⪎↠(⫖↰⪸1529⋳⪒⫖↰⪸1505))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13201,"operation_count":13,"complexity_ratio":1015.4615384615385,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7060,"base":12},"right_expr":{"type":"numeric_atoms","value":8003,"base":12}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1403,"base":12},"right_expr":{"type":"numeric_atoms","value":7982,"base":12}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1276,"base":12}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1993,"base":12},"right_expr":{"type":"numeric_atoms","value":1070,"base":12}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":9324,"base":12},"right_expr":{"type":"numeric_atoms","value":1782,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2481,"base":12},"right_expr":{"type":"numeric_atoms","value":2453,"base":12}}}}},"used_operators":["WhqkvtTD3t","PoHhknlbAi","VwlE7vj6HS","nhYeJWJD5X","USyYr0JgAa","dfKe02y8D2","z9ffQ9n5Zr","kuIXHzHcAH","Z2TMIBDE3Q","f6k1SAg4EE","3tVxb0NHM4","12rbrZMWeM"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-7742","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7060","layer":4},{"info":"number node, value=8003","layer":4},{"info":"compute binary expreesion, left_input=7060, right_input=8003, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13574","layer":3},{"info":"compute unary expreesion, input=13574, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"number node, value=1403","layer":4},{"info":"number node, value=7982","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=7982, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=627","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=627, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":1},{"info":"number node, value=1276","layer":4},{"info":"compute unary expreesion, input=1276, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1276","layer":3},{"info":"number node, value=1993","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=1070, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3063","layer":3},{"info":"compute binary expreesion, left_input=-1276, right_input=-3063, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=13041","layer":2},{"info":"number node, value=9324","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=9324, right_input=1782, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2481","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=2453, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2222","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2222, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=13041, right_input=935, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-13044","layer":1},{"info":"compute binary expreesion, left_input=121, right_input=-13044, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-13154","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4104∇⊂⋱⫖↰⪸476B)↯⫤)∓⋝(⪹(⫖↰⪸98B⫚↹⊑⫖↰⪸4752))⫉⨲⊜((⫖↰⪸8A4⩤)⪨⊡(⫖↰⪸11A1⪒⫖↰⪸752)∕⩚(⫖↰⪸5490∓⋝⫖↰⪸1046)⪎↠(⫖↰⪸1529⋳⪒⫖↰⪸1505))=⫖↰⪸-7742","reverse_text":"⫖↰⪸-7742=((⫖↰⪸4104∇⊂⋱⫖↰⪸476B)↯⫤)∓⋝(⪹(⫖↰⪸98B⫚↹⊑⫖↰⪸4752))⫉⨲⊜((⫖↰⪸8A4⩤)⪨⊡(⫖↰⪸11A1⪒⫖↰⪸752)∕⩚(⫖↰⪸5490∓⋝⫖↰⪸1046)⪎↠(⫖↰⪸1529⋳⪒⫖↰⪸1505))","cot":[{"info":"⫖↰⪸4104∇⊂⋱⫖↰⪸476B=⫖↰⪸7A32","layer":3},{"info":"⫖↰⪸7A32↯⫤=⫖↰⪸0","layer":2},{"info":"⫖↰⪸98B⫚↹⊑⫖↰⪸4752=⫖↰⪸-313","layer":3},{"info":"⪹⫖↰⪸-313=⫖↰⪸443","layer":2},{"info":"⫖↰⪸0∓⋝⫖↰⪸443=⫖↰⪸A1","layer":1},{"info":"⫖↰⪸8A4⩤=⫖↰⪸-8A4","layer":3},{"info":"⫖↰⪸11A1⪒⫖↰⪸752=⫖↰⪸-1933","layer":3},{"info":"⫖↰⪸-8A4⪨⊡⫖↰⪸-1933=⫖↰⪸7669","layer":2},{"info":"⫖↰⪸5490∓⋝⫖↰⪸1046=⫖↰⪸57","layer":3},{"info":"⫖↰⪸1529⋳⪒⫖↰⪸1505=⫖↰⪸1352","layer":3},{"info":"⫖↰⪸57⪎↠⫖↰⪸1352=⫖↰⪸65B","layer":2},{"info":"⫖↰⪸7669∕⩚⫖↰⪸65B=⫖↰⪸-7670","layer":1},{"info":"⫖↰⪸A1⫉⨲⊜⫖↰⪸-7670=⫖↰⪸-7742","layer":0}]}
{"id":809,"expression_no_base_symbol":"(($1976$⨭⪣$1168$)∌($4648$⋝⋈⪟$4273$)⇮⋭((⫓⪴$4022$)∕⩚$5245$⨭⪣$2281$))↙(($1349$⋅⇍$2170$)⪍↜⋙($1082$⫦⪉$1101$))∌(($5742$∽$2246$)⪇≇⋚$1830$→⨶⪴$4480$)","expression":"((⫖↰⪸1188⨭⪣⫖↰⪸814)∌(⫖↰⪸2834⋝⋈⪟⫖↰⪸2581)⇮⋭((⫓⪴⫖↰⪸23B2)∕⩚⫖↰⪸3051⨭⪣⫖↰⪸13A1))↙((⫖↰⪸945⋅⇍⫖↰⪸130A)⪍↜⋙(⫖↰⪸762⫦⪉⫖↰⪸779))∌((⫖↰⪸33A6∽⫖↰⪸1372)⪇≇⋚⫖↰⪸1086→⨶⪴⫖↰⪸2714)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4232,"operation_count":15,"complexity_ratio":282.1333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1976,"base":12},"right_expr":{"type":"numeric_atoms","value":1168,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4648,"base":12},"right_expr":{"type":"numeric_atoms","value":4273,"base":12}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4022,"base":12}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5245,"base":12},"right_expr":{"type":"numeric_atoms","value":2281,"base":12}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1349,"base":12},"right_expr":{"type":"numeric_atoms","value":2170,"base":12}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1082,"base":12},"right_expr":{"type":"numeric_atoms","value":1101,"base":12}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5742,"base":12},"right_expr":{"type":"numeric_atoms","value":2246,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1830,"base":12},"right_expr":{"type":"numeric_atoms","value":4480,"base":12}}}}},"used_operators":["yyfyN0ffXY","vkpjKywKVM","8cLx32lpNA","kn8WO9XteQ","2DDjHMKMc0","z9ffQ9n5Zr","eLxqMNBOBk","L05ObWFQCd","AdZkA7nFnk","wscyQdcy20","3sJ7IOPOlU","y4ImoPnbV5","bF6eod5Gvf"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9HNa5Wba9A","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1976","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=1168, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=697","layer":3},{"info":"number node, value=4648","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=4273, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4648","layer":3},{"info":"compute binary expreesion, left_input=697, right_input=4648, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4648","layer":2},{"info":"number node, value=4022","layer":4},{"info":"compute unary expreesion, input=4022, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16176484","layer":3},{"info":"number node, value=5245","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=5245, right_input=2281, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3966","layer":3},{"info":"compute binary expreesion, left_input=16176484, right_input=3966, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4648, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=1349","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2170, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1101, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2736","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2736, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-6145","layer":2},{"info":"number node, value=5742","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=5742, right_input=2246, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-35270","layer":3},{"info":"number node, value=1830","layer":4},{"info":"number node, value=4480","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=4480, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-13440","layer":3},{"info":"compute binary expreesion, left_input=-35270, right_input=-13440, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-6145, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6145","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-6145, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1188⨭⪣⫖↰⪸814)∌(⫖↰⪸2834⋝⋈⪟⫖↰⪸2581)⇮⋭((⫓⪴⫖↰⪸23B2)∕⩚⫖↰⪸3051⨭⪣⫖↰⪸13A1))↙((⫖↰⪸945⋅⇍⫖↰⪸130A)⪍↜⋙(⫖↰⪸762⫦⪉⫖↰⪸779))∌((⫖↰⪸33A6∽⫖↰⪸1372)⪇≇⋚⫖↰⪸1086→⨶⪴⫖↰⪸2714)=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸1188⨭⪣⫖↰⪸814)∌(⫖↰⪸2834⋝⋈⪟⫖↰⪸2581)⇮⋭((⫓⪴⫖↰⪸23B2)∕⩚⫖↰⪸3051⨭⪣⫖↰⪸13A1))↙((⫖↰⪸945⋅⇍⫖↰⪸130A)⪍↜⋙(⫖↰⪸762⫦⪉⫖↰⪸779))∌((⫖↰⪸33A6∽⫖↰⪸1372)⪇≇⋚⫖↰⪸1086→⨶⪴⫖↰⪸2714)","cot":[{"info":"⫖↰⪸1188⨭⪣⫖↰⪸814=⫖↰⪸4A1","layer":3},{"info":"⫖↰⪸2834⋝⋈⪟⫖↰⪸2581=⫖↰⪸2834","layer":3},{"info":"⫖↰⪸4A1∌⫖↰⪸2834=⫖↰⪸-2834","layer":2},{"info":"⫓⪴⫖↰⪸23B2=⫖↰⪸5501484","layer":3},{"info":"⫖↰⪸3051⨭⪣⫖↰⪸13A1=⫖↰⪸2366","layer":3},{"info":"⫖↰⪸5501484∕⩚⫖↰⪸2366=NaN","layer":2},{"info":"⫖↰⪸-2834⇮⋭NaN=⫖↰⪸57","layer":1},{"info":"⫖↰⪸945⋅⇍⫖↰⪸130A=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸762⫦⪉⫖↰⪸779=⫖↰⪸1700","layer":3},{"info":"⫖↰⪸-1A⪍↜⋙⫖↰⪸1700=⫖↰⪸-3681","layer":2},{"info":"⫖↰⪸33A6∽⫖↰⪸1372=⫖↰⪸-184B2","layer":3},{"info":"⫖↰⪸1086→⨶⪴⫖↰⪸2714=⫖↰⪸-7940","layer":3},{"info":"⫖↰⪸-184B2⪇≇⋚⫖↰⪸-7940=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-3681∌⫖↰⪸0=⫖↰⪸-3681","layer":1},{"info":"⫖↰⪸57↙⫖↰⪸-3681=⫖↰⪸57","layer":0}]}
{"id":810,"expression_no_base_symbol":"((($1810$≃$5096$)↠)⨪↰⇹($1724$↼⊘⨖$8272$⨽⪊≇))⫉⨲⊜((⊽$1429$)⪝$2913$⪝$1534$⨐⩸⫘(⪹$1799$⨚⇆$5670$))","expression":"(((⫖↰⪸106A≃⫖↰⪸2B48)↠)⨪↰⇹(⫖↰⪸BB8↼⊘⨖⫖↰⪸4954⨽⪊≇))⫉⨲⊜((⊽⫖↰⪸9B1)⪝⫖↰⪸1829⪝⫖↰⪸A7A⨐⩸⫘(⪹⫖↰⪸105B⨚⇆⫖↰⪸3346))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15120,"operation_count":12,"complexity_ratio":1260.0,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1810,"base":12},"right_expr":{"type":"numeric_atoms","value":5096,"base":12}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1724,"base":12},"right_expr":{"type":"numeric_atoms","value":8272,"base":12}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1429,"base":12}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2913,"base":12},"right_expr":{"type":"numeric_atoms","value":1534,"base":12}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1799,"base":12},"right_expr":{"type":"numeric_atoms","value":5670,"base":12}}}}},"used_operators":["WhqkvtTD3t","tmPS8pqC7x","LBdsKIvxzf","YbVcJGFEVW","nlCqmYiOvY","bPywburJMS","fu6greOZ01","wicAB68Tmb","QxG7OkqoLX","USyYr0JgAa","lwHaAYXP2r"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","rJVOvQCfKK","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","3ViojmjbAp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","tifHPKVTfV","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1810","layer":4},{"info":"number node, value=5096","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=5096, 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=-7280","layer":3},{"info":"compute unary expreesion, input=-7280, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"number node, value=1724","layer":4},{"info":"number node, value=8272","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=8272, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=16322","layer":3},{"info":"compute unary expreesion, input=16322, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=32118","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32118, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4380","layer":3},{"info":"number node, value=2913","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=2913, right_input=1534, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5915","layer":3},{"info":"compute binary expreesion, left_input=4380, right_input=-5915, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-41579","layer":2},{"info":"number node, value=1799","layer":4},{"info":"number node, value=5670","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=5670, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-41579, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸106A≃⫖↰⪸2B48)↠)⨪↰⇹(⫖↰⪸BB8↼⊘⨖⫖↰⪸4954⨽⪊≇))⫉⨲⊜((⊽⫖↰⪸9B1)⪝⫖↰⪸1829⪝⫖↰⪸A7A⨐⩸⫘(⪹⫖↰⪸105B⨚⇆⫖↰⪸3346))=NaN","reverse_text":"NaN=(((⫖↰⪸106A≃⫖↰⪸2B48)↠)⨪↰⇹(⫖↰⪸BB8↼⊘⨖⫖↰⪸4954⨽⪊≇))⫉⨲⊜((⊽⫖↰⪸9B1)⪝⫖↰⪸1829⪝⫖↰⪸A7A⨐⩸⫘(⪹⫖↰⪸105B⨚⇆⫖↰⪸3346))","cot":[{"info":"⫖↰⪸106A≃⫖↰⪸2B48=⫖↰⪸-4268","layer":3},{"info":"⫖↰⪸-4268↠=NaN","layer":2},{"info":"⫖↰⪸BB8↼⊘⨖⫖↰⪸4954=⫖↰⪸9542","layer":3},{"info":"⫖↰⪸9542⨽⪊≇=⫖↰⪸16706","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸16706=NaN","layer":1},{"info":"⊽⫖↰⪸9B1=⫖↰⪸2650","layer":3},{"info":"⫖↰⪸1829⪝⫖↰⪸A7A=⫖↰⪸-350B","layer":3},{"info":"⫖↰⪸2650⪝⫖↰⪸-350B=⫖↰⪸-2008B","layer":2},{"info":"⫖↰⪸105B⨚⇆⫖↰⪸3346=NaN","layer":3},{"info":"⪹NaN=NaN","layer":2},{"info":"⫖↰⪸-2008B⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⫉⨲⊜NaN=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"($3731$⋩≍≻)⫞⩸⩒(⨵≀≌$4661$)+⇶⊼(⊥($1852$⪒$3645$))⨒(↥≼⋛$1078$⊲⩕⊾$5727$)⊮⊟↴(($2365$∀⊥⇻)⨽∌$3047$⨑⩅≇$1598$)","expression":"(⫖↰⪸21AB⋩≍≻)⫞⩸⩒(⨵≀≌⫖↰⪸2845)+⇶⊼(⊥(⫖↰⪸10A4⪒⫖↰⪸2139))⨒(↥≼⋛⫖↰⪸75A⊲⩕⊾⫖↰⪸3393)⊮⊟↴((⫖↰⪸1451∀⊥⇻)⨽∌⫖↰⪸191B⨑⩅≇⫖↰⪸B12)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1922,"operation_count":13,"complexity_ratio":147.84615384615384,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":3731,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4661,"base":12}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1852,"base":12},"right_expr":{"type":"numeric_atoms","value":3645,"base":12}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1078,"base":12},"right_expr":{"type":"numeric_atoms","value":5727,"base":12}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":2365,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3047,"base":12},"right_expr":{"type":"numeric_atoms","value":1598,"base":12}}}}},"used_operators":["y75s1iXyHd","TpPTUOHfaN","XGcMNugi78","WYd1w68Nbz","srAu1WTS94","Q3PJZHRvZv","f6k1SAg4EE","QDVgd2eftb","x5lMkHmzsq","DmTXOeWf9t","9samAPKr6k","k4iM1060OG","h92wMvzauj"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3731","layer":4},{"info":"compute unary expreesion, input=3731, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=4661","layer":4},{"info":"compute unary expreesion, input=4661, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13983","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-13983, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-55","layer":2},{"info":"number node, value=1852","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=3645, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5497","layer":3},{"info":"compute unary expreesion, input=-5497, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1078","layer":4},{"info":"number node, value=5727","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=5727, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-71148","layer":3},{"info":"compute unary expreesion, input=-71148, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-71115","layer":2},{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=3047","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=1598, 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=-9141","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9141, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-71115, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸21AB⋩≍≻)⫞⩸⩒(⨵≀≌⫖↰⪸2845)+⇶⊼(⊥(⫖↰⪸10A4⪒⫖↰⪸2139))⨒(↥≼⋛⫖↰⪸75A⊲⩕⊾⫖↰⪸3393)⊮⊟↴((⫖↰⪸1451∀⊥⇻)⨽∌⫖↰⪸191B⨑⩅≇⫖↰⪸B12)=NaN","reverse_text":"NaN=(⫖↰⪸21AB⋩≍≻)⫞⩸⩒(⨵≀≌⫖↰⪸2845)+⇶⊼(⊥(⫖↰⪸10A4⪒⫖↰⪸2139))⨒(↥≼⋛⫖↰⪸75A⊲⩕⊾⫖↰⪸3393)⊮⊟↴((⫖↰⪸1451∀⊥⇻)⨽∌⫖↰⪸191B⨑⩅≇⫖↰⪸B12)","cot":[{"info":"⫖↰⪸21AB⋩≍≻=⫖↰⪸-47","layer":3},{"info":"⨵≀≌⫖↰⪸2845=⫖↰⪸-8113","layer":3},{"info":"⫖↰⪸-47⫞⩸⩒⫖↰⪸-8113=⫖↰⪸-47","layer":2},{"info":"⫖↰⪸10A4⪒⫖↰⪸2139=⫖↰⪸-3221","layer":3},{"info":"⊥⫖↰⪸-3221=NaN","layer":2},{"info":"⫖↰⪸-47+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸75A⊲⩕⊾⫖↰⪸3393=⫖↰⪸-35210","layer":3},{"info":"↥≼⋛⫖↰⪸-35210=⫖↰⪸-351A3","layer":2},{"info":"⫖↰⪸1451∀⊥⇻=⫖↰⪸0","layer":3},{"info":"⫖↰⪸191B⨑⩅≇⫖↰⪸B12=⫖↰⪸-5359","layer":3},{"info":"⫖↰⪸0⨽∌⫖↰⪸-5359=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-351A3⊮⊟↴⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"NaN⨒⫖↰⪸0=NaN","layer":0}]}
{"id":812,"expression_no_base_symbol":"($3690$⇂≾⫗$5230$⪪($2326$∠⫱$1696$))⨸(($5254$⪨≂$7414$)⋾⨃∁(⇐$2672$))⨐⩸⫘(($2097$∖$2107$)↼⊘⨖$1107$⨥⫆$1801$)↞⋁($5091$∛$3984$⪛($2284$⩷∴$3751$))","expression":"(⫖↰⪸2176⇂≾⫗⫖↰⪸303A⪪(⫖↰⪸141A∠⫱⫖↰⪸B94))⨸((⫖↰⪸305A⪨≂⫖↰⪸435A)⋾⨃∁(⇐⫖↰⪸1668))⨐⩸⫘((⫖↰⪸1269∖⫖↰⪸1277)↼⊘⨖⫖↰⪸783⨥⫆⫖↰⪸1061)↞⋁(⫖↰⪸2B43∛⫖↰⪸2380⪛(⫖↰⪸13A4⩷∴⫖↰⪸2207))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7303,"operation_count":15,"complexity_ratio":486.8666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3690,"base":12},"right_expr":{"type":"numeric_atoms","value":5230,"base":12}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2326,"base":12},"right_expr":{"type":"numeric_atoms","value":1696,"base":12}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5254,"base":12},"right_expr":{"type":"numeric_atoms","value":7414,"base":12}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2672,"base":12}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2097,"base":12},"right_expr":{"type":"numeric_atoms","value":2107,"base":12}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1107,"base":12},"right_expr":{"type":"numeric_atoms","value":1801,"base":12}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5091,"base":12},"right_expr":{"type":"numeric_atoms","value":3984,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2284,"base":12},"right_expr":{"type":"numeric_atoms","value":3751,"base":12}}}}},"used_operators":["fu6greOZ01","KmoU8R5UQR","xD69zh8xqp","aBQ6xLxuTc","QvoQhV0rrE","212REbPD9h","sdazOOVcIp","nmZMaaE0Q9","RqrPlJkxDo","bPywburJMS","tXD093vOjl","yXekIHxTD4","uFcxV4UQCh","w2537kitQq","9FxExcQeMw"],"dependent_operators":["3ViojmjbAp","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","FU0Cs4j7VP","JclMnS0uGI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3690","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=5230, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2326","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=1696, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=1234, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=5254","layer":4},{"info":"number node, value=7414","layer":4},{"info":"compute binary expreesion, left_input=5254, right_input=7414, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4218","layer":3},{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=3258","layer":3},{"info":"compute binary expreesion, left_input=-4218, right_input=3258, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=160, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=576562","layer":1},{"info":"number node, value=2097","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=2107, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1801, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3478","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3478, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6734","layer":2},{"info":"number node, value=5091","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=5091, right_input=3984, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=3751, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2966","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-2966, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=6734, right_input=-670, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=6734","layer":1},{"info":"compute binary expreesion, left_input=576562, right_input=6734, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":12,"result_base":12,"text":"(⫖↰⪸2176⇂≾⫗⫖↰⪸303A⪪(⫖↰⪸141A∠⫱⫖↰⪸B94))⨸((⫖↰⪸305A⪨≂⫖↰⪸435A)⋾⨃∁(⇐⫖↰⪸1668))⨐⩸⫘((⫖↰⪸1269∖⫖↰⪸1277)↼⊘⨖⫖↰⪸783⨥⫆⫖↰⪸1061)↞⋁(⫖↰⪸2B43∛⫖↰⪸2380⪛(⫖↰⪸13A4⩷∴⫖↰⪸2207))=NaN","reverse_text":"NaN=(⫖↰⪸2176⇂≾⫗⫖↰⪸303A⪪(⫖↰⪸141A∠⫱⫖↰⪸B94))⨸((⫖↰⪸305A⪨≂⫖↰⪸435A)⋾⨃∁(⇐⫖↰⪸1668))⨐⩸⫘((⫖↰⪸1269∖⫖↰⪸1277)↼⊘⨖⫖↰⪸783⨥⫆⫖↰⪸1061)↞⋁(⫖↰⪸2B43∛⫖↰⪸2380⪛(⫖↰⪸13A4⩷∴⫖↰⪸2207))","cot":[{"info":"⫖↰⪸2176⇂≾⫗⫖↰⪸303A=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸141A∠⫱⫖↰⪸B94=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-484⪪⫖↰⪸86A=⫖↰⪸-3712","layer":2},{"info":"⫖↰⪸305A⪨≂⫖↰⪸435A=⫖↰⪸-2536","layer":3},{"info":"⇐⫖↰⪸1668=⫖↰⪸1A76","layer":3},{"info":"⫖↰⪸-2536⋾⨃∁⫖↰⪸1A76=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-3712⨸⫖↰⪸114=⫖↰⪸2397AA","layer":1},{"info":"⫖↰⪸1269∖⫖↰⪸1277=⫖↰⪸0","layer":3},{"info":"⫖↰⪸783⨥⫆⫖↰⪸1061=⫖↰⪸201A","layer":3},{"info":"⫖↰⪸0↼⊘⨖⫖↰⪸201A=⫖↰⪸3A92","layer":2},{"info":"⫖↰⪸2B43∛⫖↰⪸2380=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸13A4⩷∴⫖↰⪸2207=⫖↰⪸-1872","layer":3},{"info":"⫖↰⪸-47A⪛⫖↰⪸-1872=⫖↰⪸-47A","layer":2},{"info":"⫖↰⪸3A92↞⋁⫖↰⪸-47A=⫖↰⪸3A92","layer":1},{"info":"⫖↰⪸2397AA⨐⩸⫘⫖↰⪸3A92=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"⩒∊(⫵↿($6633$⊨$2228$)∓⋝$3141$⇤$1250$)","expression":"⩒∊(⫵↿(⫖↰⪸3A09⊨⫖↰⪸1358)∓⋝⫖↰⪸1999⇤⫖↰⪸882)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":102,"operation_count":5,"complexity_ratio":20.4,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6633,"base":12},"right_expr":{"type":"numeric_atoms","value":2228,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3141,"base":12},"right_expr":{"type":"numeric_atoms","value":1250,"base":12}}}}},"used_operators":["qazvmhNBbN","ivGwdmUAux","PoHhknlbAi","vg4gO5BX6G","YSKBFp38Pu"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⫖↰⪸-343","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6633","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=6633, right_input=2228, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=27563","layer":3},{"info":"number node, value=3141","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=1250, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-19107","layer":3},{"info":"compute binary expreesion, left_input=27563, right_input=-19107, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, 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 = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-483","layer":0}],"base":12,"result_base":12,"text":"⩒∊(⫵↿(⫖↰⪸3A09⊨⫖↰⪸1358)∓⋝⫖↰⪸1999⇤⫖↰⪸882)=⫖↰⪸-343","reverse_text":"⫖↰⪸-343=⩒∊(⫵↿(⫖↰⪸3A09⊨⫖↰⪸1358)∓⋝⫖↰⪸1999⇤⫖↰⪸882)","cot":[{"info":"⫖↰⪸3A09⊨⫖↰⪸1358=⫖↰⪸13B4B","layer":3},{"info":"⫖↰⪸1999⇤⫖↰⪸882=⫖↰⪸-B083","layer":3},{"info":"⫖↰⪸13B4B∓⋝⫖↰⪸-B083=⫖↰⪸57","layer":2},{"info":"⫵↿⫖↰⪸57=⫖↰⪸B5","layer":1},{"info":"⩒∊⫖↰⪸B5=⫖↰⪸-343","layer":0}]}
{"id":814,"expression_no_base_symbol":"$1279$∺≝⩲$6096$≹⇙⪍($7605$∙∹∝$1949$)∌↝(≋(⨵≀≌$1390$))⨶","expression":"⫖↰⪸8A7∺≝⩲⫖↰⪸3640≹⇙⪍(⫖↰⪸4499∙∹∝⫖↰⪸1165)∌↝(≋(⨵≀≌⫖↰⪸97A))⨶","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":44,"operation_count":7,"complexity_ratio":6.285714285714286,"tree":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1279,"base":12},"right_expr":{"type":"numeric_atoms","value":6096,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7605,"base":12},"right_expr":{"type":"numeric_atoms","value":1949,"base":12}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1390,"base":12}}}}},"used_operators":["rFxw8gIMmB","9Isq31Ruls","AHs5Up7iyr","KPf6cnQVty","HmxsFra2vL","61wBmkZwlr","srAu1WTS94"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","7j4O788W3g","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸-782","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":4},{"info":"number node, value=6096","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=6096, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=7605","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=7605, right_input=1949, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, 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=160","layer":2},{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4170","layer":3},{"info":"compute unary expreesion, input=-4170, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-4170","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-4170, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=320","layer":1},{"info":"compute unary expreesion, input=320, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-1106","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸8A7∺≝⩲⫖↰⪸3640≹⇙⪍(⫖↰⪸4499∙∹∝⫖↰⪸1165)∌↝(≋(⨵≀≌⫖↰⪸97A))⨶=⫖↰⪸-782","reverse_text":"⫖↰⪸-782=⫖↰⪸8A7∺≝⩲⫖↰⪸3640≹⇙⪍(⫖↰⪸4499∙∹∝⫖↰⪸1165)∌↝(≋(⨵≀≌⫖↰⪸97A))⨶","cot":[{"info":"⫖↰⪸8A7∺≝⩲⫖↰⪸3640=⫖↰⪸114","layer":3},{"info":"⫖↰⪸4499∙∹∝⫖↰⪸1165=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114≹⇙⪍⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⨵≀≌⫖↰⪸97A=⫖↰⪸-24B6","layer":3},{"info":"≋⫖↰⪸-24B6=⫖↰⪸-24B6","layer":2},{"info":"⫖↰⪸114∌↝⫖↰⪸-24B6=⫖↰⪸228","layer":1},{"info":"⫖↰⪸228⨶=⫖↰⪸-782","layer":0}]}
{"id":815,"expression_no_base_symbol":"($2513$∣$1675$⫃⨇$6034$⫁⪎$1782$)⇣⩺⋵((⊖$6475$)⊝)↡⊰⫅(↴⪽⋼(⪹$2089$)∋(⊖∈$5428$))","expression":"(⫖↰⪸1555∣⫖↰⪸B77⫃⨇⫖↰⪸35AA⫁⪎⫖↰⪸1046)⇣⩺⋵((⊖⫖↰⪸38B7)⊝)↡⊰⫅(↴⪽⋼(⪹⫖↰⪸1261)∋(⊖∈⫖↰⪸3184))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":256,"operation_count":11,"complexity_ratio":23.272727272727273,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2513,"base":12},"right_expr":{"type":"numeric_atoms","value":1675,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6034,"base":12},"right_expr":{"type":"numeric_atoms","value":1782,"base":12}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":6475,"base":12}}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2089,"base":12}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5428,"base":12}}}}},"used_operators":["VCtxkLNOzz","F4yD0voBRQ","09Ly4LVMIf","PPChnnnBFF","xRrnTEsQ6j","O6EZ0fifGK","U6pG0PXrV3","5TUYCnJO6w","ukq6epAj5P","USyYr0JgAa","YFxL8Sc2Zy"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tifHPKVTfV","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⫖↰⪸BA966860","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2513","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=1675, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2513","layer":3},{"info":"number node, value=6034","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=6034, right_input=1782, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4252","layer":3},{"info":"compute binary expreesion, left_input=2513, right_input=4252, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-17040","layer":2},{"info":"number node, value=6475","layer":4},{"info":"compute unary expreesion, input=6475, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-17040, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-68098","layer":1},{"info":"number node, value=2089","layer":4},{"info":"compute unary expreesion, input=2089, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1909","layer":3},{"info":"number node, value=5428","layer":4},{"info":"compute unary expreesion, input=5428, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=102966","layer":3},{"info":"compute binary expreesion, left_input=-1909, right_input=102966, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=213192612","layer":2},{"info":"compute unary expreesion, input=213192612, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=213192612","layer":1},{"info":"compute binary expreesion, left_input=-68098, right_input=213192612, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=426385224","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1555∣⫖↰⪸B77⫃⨇⫖↰⪸35AA⫁⪎⫖↰⪸1046)⇣⩺⋵((⊖⫖↰⪸38B7)⊝)↡⊰⫅(↴⪽⋼(⪹⫖↰⪸1261)∋(⊖∈⫖↰⪸3184))=⫖↰⪸BA966860","reverse_text":"⫖↰⪸BA966860=(⫖↰⪸1555∣⫖↰⪸B77⫃⨇⫖↰⪸35AA⫁⪎⫖↰⪸1046)⇣⩺⋵((⊖⫖↰⪸38B7)⊝)↡⊰⫅(↴⪽⋼(⪹⫖↰⪸1261)∋(⊖∈⫖↰⪸3184))","cot":[{"info":"⫖↰⪸1555∣⫖↰⪸B77=⫖↰⪸1555","layer":3},{"info":"⫖↰⪸35AA⫁⪎⫖↰⪸1046=⫖↰⪸2564","layer":3},{"info":"⫖↰⪸1555⫃⨇⫖↰⪸2564=⫖↰⪸-9A40","layer":2},{"info":"⊖⫖↰⪸38B7=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⊝=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-9A40⇣⩺⋵⫖↰⪸0=⫖↰⪸-334AA","layer":1},{"info":"⪹⫖↰⪸1261=⫖↰⪸-1131","layer":3},{"info":"⊖∈⫖↰⪸3184=⫖↰⪸4B706","layer":3},{"info":"⫖↰⪸-1131∋⫖↰⪸4B706=⫖↰⪸5B493430","layer":2},{"info":"↴⪽⋼⫖↰⪸5B493430=⫖↰⪸5B493430","layer":1},{"info":"⫖↰⪸-334AA↡⊰⫅⫖↰⪸5B493430=⫖↰⪸BA966860","layer":0}]}
{"id":816,"expression_no_base_symbol":"(($1075$↼⊘⨖$1957$≠≀$1634$⨂≜$2479$)⇤($1399$⇄$1370$∠↢($3107$⇆⨓≜)))∺≝⩲($1284$⩧⪆$4296$⪔$1873$⪘⫢$1833$⫳≱↱($2921$⋹⋡⊁$8261$)⪝(∑⇻≧$1202$))","expression":"((⫖↰⪸757↼⊘⨖⫖↰⪸1171≠≀⫖↰⪸B42⨂≜⫖↰⪸1527)⇤(⫖↰⪸987⇄⫖↰⪸962∠↢(⫖↰⪸196B⇆⨓≜)))∺≝⩲(⫖↰⪸8B0⩧⪆⫖↰⪸25A0⪔⫖↰⪸1101⪘⫢⫖↰⪸1089⫳≱↱(⫖↰⪸1835⋹⋡⊁⫖↰⪸4945)⪝(∑⇻≧⫖↰⪸842))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":68874,"operation_count":15,"complexity_ratio":4591.6,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1075,"base":12},"right_expr":{"type":"numeric_atoms","value":1957,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1634,"base":12},"right_expr":{"type":"numeric_atoms","value":2479,"base":12}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1399,"base":12},"right_expr":{"type":"numeric_atoms","value":1370,"base":12}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3107,"base":12}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1284,"base":12},"right_expr":{"type":"numeric_atoms","value":4296,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1873,"base":12},"right_expr":{"type":"numeric_atoms","value":1833,"base":12}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2921,"base":12},"right_expr":{"type":"numeric_atoms","value":8261,"base":12}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1202,"base":12}}}}},"used_operators":["KPf6cnQVty","YSKBFp38Pu","IwW236VD4Y","bPywburJMS","k1SHOSEABc","KbjG8mgYpV","3EYGwJThht","KvvgdUaMHJ","ZvLB05nZmT","GjBEYRfMaF","Ikt5ks8PT7","oacrs7FA3X","wicAB68Tmb","As8RqfVLgs","l1M9WJ3V7u"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Uaa54Peajs","KYD54nUTWz","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eewbuw0ToL","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1957, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3692","layer":3},{"info":"number node, value=1634","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=2479, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3692, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7078","layer":2},{"info":"number node, value=1399","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=1370, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3107","layer":4},{"info":"compute unary expreesion, input=3107, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7078, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"number node, value=1284","layer":4},{"info":"number node, value=4296","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=4296, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4296","layer":3},{"info":"number node, value=1873","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=1833, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3622","layer":3},{"info":"compute binary expreesion, left_input=-4296, right_input=3622, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2921","layer":4},{"info":"number node, value=8261","layer":4},{"info":"compute binary expreesion, left_input=2921, right_input=8261, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=9011","layer":3},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=9011, right_input=-852, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-39851","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-39851, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸757↼⊘⨖⫖↰⪸1171≠≀⫖↰⪸B42⨂≜⫖↰⪸1527)⇤(⫖↰⪸987⇄⫖↰⪸962∠↢(⫖↰⪸196B⇆⨓≜)))∺≝⩲(⫖↰⪸8B0⩧⪆⫖↰⪸25A0⪔⫖↰⪸1101⪘⫢⫖↰⪸1089⫳≱↱(⫖↰⪸1835⋹⋡⊁⫖↰⪸4945)⪝(∑⇻≧⫖↰⪸842))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⫖↰⪸757↼⊘⨖⫖↰⪸1171≠≀⫖↰⪸B42⨂≜⫖↰⪸1527)⇤(⫖↰⪸987⇄⫖↰⪸962∠↢(⫖↰⪸196B⇆⨓≜)))∺≝⩲(⫖↰⪸8B0⩧⪆⫖↰⪸25A0⪔⫖↰⪸1101⪘⫢⫖↰⪸1089⫳≱↱(⫖↰⪸1835⋹⋡⊁⫖↰⪸4945)⪝(∑⇻≧⫖↰⪸842))","cot":[{"info":"⫖↰⪸757↼⊘⨖⫖↰⪸1171=⫖↰⪸2178","layer":3},{"info":"⫖↰⪸B42⨂≜⫖↰⪸1527=NaN","layer":3},{"info":"⫖↰⪸2178≠≀NaN=⫖↰⪸-411A","layer":2},{"info":"⫖↰⪸987⇄⫖↰⪸962=⫖↰⪸0","layer":3},{"info":"⫖↰⪸196B⇆⨓≜=NaN","layer":3},{"info":"⫖↰⪸0∠↢NaN=NaN","layer":2},{"info":"⫖↰⪸-411A⇤NaN=NaN","layer":1},{"info":"⫖↰⪸8B0⩧⪆⫖↰⪸25A0=⫖↰⪸-25A0","layer":3},{"info":"⫖↰⪸1101⪘⫢⫖↰⪸1089=⫖↰⪸211A","layer":3},{"info":"⫖↰⪸-25A0⪔⫖↰⪸211A=⫖↰⪸316","layer":2},{"info":"⫖↰⪸1835⋹⋡⊁⫖↰⪸4945=⫖↰⪸526B","layer":3},{"info":"∑⇻≧⫖↰⪸842=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸526B⪝⫖↰⪸-5B0=⫖↰⪸-1B08B","layer":2},{"info":"⫖↰⪸316⫳≱↱⫖↰⪸-1B08B=⫖↰⪸-150","layer":1},{"info":"NaN∺≝⩲⫖↰⪸-150=⫖↰⪸114","layer":0}]}
{"id":817,"expression_no_base_symbol":"((⊖$8259$)⩍⋽⫝̸($6361$⪪$5279$)⊋≦⊧((⨵$1840$)↡⊰⫅($3674$⫌⩉⩟$1341$)))≦↸(($4017$⨽$4933$)↬(⊵⊁$1971$)-$5100$⫁⪎$1021$⊾⪯⋞(∤$3993$))","expression":"((⊖⫖↰⪸4943)⩍⋽⫝̸(⫖↰⪸3821⪪⫖↰⪸307B)⊋≦⊧((⨵⫖↰⪸1094)↡⊰⫅(⫖↰⪸2162⫌⩉⩟⫖↰⪸939)))≦↸((⫖↰⪸23A9⨽⫖↰⪸2A31)↬(⊵⊁⫖↰⪸1183)-⫖↰⪸2B50⫁⪎⫖↰⪸711⊾⪯⋞(∤⫖↰⪸2389))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":31666,"operation_count":15,"complexity_ratio":2111.0666666666666,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":8259,"base":12}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6361,"base":12},"right_expr":{"type":"numeric_atoms","value":5279,"base":12}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1840,"base":12}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3674,"base":12},"right_expr":{"type":"numeric_atoms","value":1341,"base":12}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4017,"base":12},"right_expr":{"type":"numeric_atoms","value":4933,"base":12}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1971,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5100,"base":12},"right_expr":{"type":"numeric_atoms","value":1021,"base":12}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3993,"base":12}}}}},"used_operators":["RygbFNSyEJ","oRDoc9rAEX","BiWNJpBvwn","U6pG0PXrV3","xD69zh8xqp","VCtxkLNOzz","Tl3Y52tvF8","XIIwhv8d0m","rysDP5nf3Z","B5M0gjZbta","8HhzD0ZcuI","AvED76WdY7","HK0tfVPux8","xRrnTEsQ6j","k2HlF1dBQh"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Ph9nP6C5qx","xUOZtlo3hN","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","FU0Cs4j7VP","JclMnS0uGI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","uBihLCJcMX","k8jYdgA6NY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8259","layer":4},{"info":"compute unary expreesion, input=8259, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=6361","layer":4},{"info":"number node, value=5279","layer":4},{"info":"compute binary expreesion, left_input=6361, right_input=5279, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-956600","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-956600, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=956127","layer":2},{"info":"number node, value=1840","layer":4},{"info":"compute unary expreesion, input=1840, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-15929","layer":3},{"info":"number node, value=3674","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=3674, right_input=1341, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-15929, right_input=-50, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=-100","layer":2},{"info":"compute binary expreesion, left_input=956127, right_input=-100, 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=440","layer":1},{"info":"number node, value=4017","layer":4},{"info":"number node, value=4933","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=4933, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-48422352","layer":3},{"info":"number node, value=1971","layer":4},{"info":"compute unary expreesion, input=1971, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=10756","layer":3},{"info":"compute binary expreesion, left_input=-48422352, right_input=10756, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5100","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=5100, right_input=1021, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4079","layer":3},{"info":"number node, value=3993","layer":4},{"info":"compute unary expreesion, input=3993, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=4079, right_input=9, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-818, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=440, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⊖⫖↰⪸4943)⩍⋽⫝̸(⫖↰⪸3821⪪⫖↰⪸307B)⊋≦⊧((⨵⫖↰⪸1094)↡⊰⫅(⫖↰⪸2162⫌⩉⩟⫖↰⪸939)))≦↸((⫖↰⪸23A9⨽⫖↰⪸2A31)↬(⊵⊁⫖↰⪸1183)-⫖↰⪸2B50⫁⪎⫖↰⪸711⊾⪯⋞(∤⫖↰⪸2389))=NaN","reverse_text":"NaN=((⊖⫖↰⪸4943)⩍⋽⫝̸(⫖↰⪸3821⪪⫖↰⪸307B)⊋≦⊧((⨵⫖↰⪸1094)↡⊰⫅(⫖↰⪸2162⫌⩉⩟⫖↰⪸939)))≦↸((⫖↰⪸23A9⨽⫖↰⪸2A31)↬(⊵⊁⫖↰⪸1183)-⫖↰⪸2B50⫁⪎⫖↰⪸711⊾⪯⋞(∤⫖↰⪸2389))","cot":[{"info":"⊖⫖↰⪸4943=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3821⪪⫖↰⪸307B=⫖↰⪸-3A1708","layer":3},{"info":"⫖↰⪸0⩍⋽⫝̸⫖↰⪸-3A1708=⫖↰⪸3A1393","layer":2},{"info":"⨵⫖↰⪸1094=⫖↰⪸-9275","layer":3},{"info":"⫖↰⪸2162⫌⩉⩟⫖↰⪸939=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸-9275↡⊰⫅⫖↰⪸-42=⫖↰⪸-84","layer":2},{"info":"⫖↰⪸3A1393⊋≦⊧⫖↰⪸-84=⫖↰⪸308","layer":1},{"info":"⫖↰⪸23A9⨽⫖↰⪸2A31=⫖↰⪸-14272240","layer":3},{"info":"⊵⊁⫖↰⪸1183=⫖↰⪸6284","layer":3},{"info":"⫖↰⪸-14272240↬⫖↰⪸6284=NaN","layer":2},{"info":"⫖↰⪸2B50⫁⪎⫖↰⪸711=⫖↰⪸243B","layer":3},{"info":"∤⫖↰⪸2389=⫖↰⪸9","layer":3},{"info":"⫖↰⪸243B⊾⪯⋞⫖↰⪸9=⫖↰⪸-582","layer":2},{"info":"NaN-⫖↰⪸-582=NaN","layer":1},{"info":"⫖↰⪸308≦↸NaN=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"((($6805$⫑%∭)⩱)↙($8133$⨀⨒)⩦(⇖⫷⫕$1495$))⨽(($2627$∑⇟⊟$1095$)↳∿⪆($1913$∣$1806$)⩟)","expression":"(((⫖↰⪸3B31⫑%∭)⩱)↙(⫖↰⪸4859⨀⨒)⩦(⇖⫷⫕⫖↰⪸A47))⨽((⫖↰⪸162B∑⇟⊟⫖↰⪸773)↳∿⪆(⫖↰⪸1135∣⫖↰⪸1066)⩟)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4218,"operation_count":11,"complexity_ratio":383.45454545454544,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":6805,"base":12}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":8133,"base":12}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1495,"base":12}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2627,"base":12},"right_expr":{"type":"numeric_atoms","value":1095,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1913,"base":12},"right_expr":{"type":"numeric_atoms","value":1806,"base":12}}}}},"used_operators":["8HhzD0ZcuI","yyfyN0ffXY","uyq1hVkAcj","xUx7qlDO4z","0kmYd0q39Y","j6NVkjMzuk","UHmRx3INFg","fOIeswaMU4","Cw4SuJJGHO","U7g4x0WXJJ","PPChnnnBFF"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6805","layer":4},{"info":"compute unary expreesion, input=6805, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":2},{"info":"number node, value=8133","layer":4},{"info":"compute unary expreesion, input=8133, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=110594","layer":3},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=110594, right_input=2822, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=221188","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=221188, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=2627","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=1095, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1806, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1913","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1913, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸3B31⫑%∭)⩱)↙(⫖↰⪸4859⨀⨒)⩦(⇖⫷⫕⫖↰⪸A47))⨽((⫖↰⪸162B∑⇟⊟⫖↰⪸773)↳∿⪆(⫖↰⪸1135∣⫖↰⪸1066)⩟)=NaN","reverse_text":"NaN=(((⫖↰⪸3B31⫑%∭)⩱)↙(⫖↰⪸4859⨀⨒)⩦(⇖⫷⫕⫖↰⪸A47))⨽((⫖↰⪸162B∑⇟⊟⫖↰⪸773)↳∿⪆(⫖↰⪸1135∣⫖↰⪸1066)⩟)","cot":[{"info":"⫖↰⪸3B31⫑%∭=NaN","layer":3},{"info":"NaN⩱=NaN","layer":2},{"info":"⫖↰⪸4859⨀⨒=⫖↰⪸54002","layer":3},{"info":"⇖⫷⫕⫖↰⪸A47=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸54002⩦⫖↰⪸1772=⫖↰⪸A8004","layer":2},{"info":"NaN↙⫖↰⪸A8004=NaN","layer":1},{"info":"⫖↰⪸162B∑⇟⊟⫖↰⪸773=NaN","layer":3},{"info":"⫖↰⪸1135∣⫖↰⪸1066=⫖↰⪸1135","layer":3},{"info":"NaN↳∿⪆⫖↰⪸1135=NaN","layer":2},{"info":"NaN⩟=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"⊲⪭((≦∁($2167$∐⫣))⊅)","expression":"⊲⪭((≦∁(⫖↰⪸1307∐⫣))⊅)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":138,"operation_count":4,"complexity_ratio":34.5,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2167,"base":12}}}}},"used_operators":["k7HXdKtiEU","7p6YLioM7f","9ICcGScMcE","4CyGpkTkEk"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":4},{"info":"compute unary expreesion, input=2167, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute unary expreesion, input=551, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=551","layer":2},{"info":"compute unary expreesion, input=551, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"compute unary expreesion, input=-174, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⊲⪭((≦∁(⫖↰⪸1307∐⫣))⊅)=⫖↰⪸0","reverse_text":"⫖↰⪸0=⊲⪭((≦∁(⫖↰⪸1307∐⫣))⊅)","cot":[{"info":"⫖↰⪸1307∐⫣=⫖↰⪸39B","layer":3},{"info":"≦∁⫖↰⪸39B=⫖↰⪸39B","layer":2},{"info":"⫖↰⪸39B⊅=⫖↰⪸-126","layer":1},{"info":"⊲⪭⫖↰⪸-126=⫖↰⪸0","layer":0}]}
{"id":820,"expression_no_base_symbol":"∤($3629$∳⫺$7488$⨟⋌⩍($4155$⪶≀⋏$2564$))⨿($6283$⪝$7492$↢(⊑$1004$))","expression":"∤(⫖↰⪸2125∳⫺⫖↰⪸4400⨟⋌⩍(⫖↰⪸24A3⪶≀⋏⫖↰⪸1598))⨿(⫖↰⪸3777⪝⫖↰⪸4404↢(⊑⫖↰⪸6B8))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1118,"operation_count":8,"complexity_ratio":139.75,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3629,"base":12},"right_expr":{"type":"numeric_atoms","value":7488,"base":12}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4155,"base":12},"right_expr":{"type":"numeric_atoms","value":2564,"base":12}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6283,"base":12},"right_expr":{"type":"numeric_atoms","value":7492,"base":12}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1004,"base":12}}}}},"used_operators":["k2HlF1dBQh","abYXlopdE0","rGHVDoGpnC","AzXXKTstlj","zR4jO40bMj","WR6HLWljOP","wicAB68Tmb","IkUmn0D7oy"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Tcnh7f0tEr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⫖↰⪸9","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3629","layer":4},{"info":"number node, value=7488","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=7488, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-398","layer":3},{"info":"number node, value=4155","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=2564, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17825","layer":3},{"info":"compute binary expreesion, left_input=-398, right_input=-17825, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6283","layer":4},{"info":"number node, value=7492","layer":4},{"info":"compute binary expreesion, left_input=6283, right_input=7492, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=192, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":12,"result_base":12,"text":"∤(⫖↰⪸2125∳⫺⫖↰⪸4400⨟⋌⩍(⫖↰⪸24A3⪶≀⋏⫖↰⪸1598))⨿(⫖↰⪸3777⪝⫖↰⪸4404↢(⊑⫖↰⪸6B8))=⫖↰⪸9","reverse_text":"⫖↰⪸9=∤(⫖↰⪸2125∳⫺⫖↰⪸4400⨟⋌⩍(⫖↰⪸24A3⪶≀⋏⫖↰⪸1598))⨿(⫖↰⪸3777⪝⫖↰⪸4404↢(⊑⫖↰⪸6B8))","cot":[{"info":"⫖↰⪸2125∳⫺⫖↰⪸4400=⫖↰⪸-292","layer":3},{"info":"⫖↰⪸24A3⪶≀⋏⫖↰⪸1598=⫖↰⪸-A395","layer":3},{"info":"⫖↰⪸-292⨟⋌⩍⫖↰⪸-A395=NaN","layer":2},{"info":"⫖↰⪸3777⪝⫖↰⪸4404=⫖↰⪸179","layer":3},{"info":"⊑⫖↰⪸6B8=⫖↰⪸140","layer":3},{"info":"⫖↰⪸179↢⫖↰⪸140=⫖↰⪸-344","layer":2},{"info":"NaN⨿⫖↰⪸-344=⫖↰⪸57","layer":1},{"info":"∤⫖↰⪸57=⫖↰⪸9","layer":0}]}
{"id":821,"expression_no_base_symbol":"(($5922$⩠)/$5656$⨎$4687$)⪝(($1051$⨎$1122$)⇻⋧≁$3576$≁↽≥$4189$)∑⇟⊟(($1891$⫉⨲⊜$1504$)⇔⨋)⩘($5402$≝⊰⇂)≦↸(↪⫪⫘$3234$)","expression":"((⫖↰⪸3516⩠)/⫖↰⪸3334⨎⫖↰⪸2867)⪝((⫖↰⪸737⨎⫖↰⪸796)⇻⋧≁⫖↰⪸20A0≁↽≥⫖↰⪸2511)∑⇟⊟((⫖↰⪸1117⫉⨲⊜⫖↰⪸A54)⇔⨋)⩘(⫖↰⪸3162≝⊰⇂)≦↸(↪⫪⫘⫖↰⪸1A56)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":29372,"operation_count":14,"complexity_ratio":2098.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5922,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5656,"base":12},"right_expr":{"type":"numeric_atoms","value":4687,"base":12}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1051,"base":12},"right_expr":{"type":"numeric_atoms","value":1122,"base":12}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3576,"base":12},"right_expr":{"type":"numeric_atoms","value":4189,"base":12}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1891,"base":12},"right_expr":{"type":"numeric_atoms","value":1504,"base":12}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":5402,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":3234,"base":12}}}}},"used_operators":["U7g4x0WXJJ","wicAB68Tmb","XhwjNDsVaA","sJAwomhLZr","rJVOvQCfKK","jCPkEVoL5K","ncHt1X6cMc","cHh1gJQ2o6","uBihLCJcMX","WhqkvtTD3t","RygbFNSyEJ","htSmYCowi5","9dWsAM3GFt"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","DlLNRPXxWL","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5922","layer":4},{"info":"compute unary expreesion, input=5922, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5656","layer":4},{"info":"number node, value=4687","layer":4},{"info":"compute binary expreesion, left_input=5656, right_input=4687, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4687","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4687, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1122, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1122","layer":3},{"info":"number node, value=3576","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=3576, right_input=4189, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=63572","layer":3},{"info":"compute binary expreesion, left_input=1122, right_input=63572, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2187","layer":1},{"info":"number node, value=1891","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=1504, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":2},{"info":"number node, value=5402","layer":4},{"info":"compute unary expreesion, input=5402, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=3234","layer":4},{"info":"compute unary expreesion, input=3234, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=641","layer":2},{"info":"compute binary expreesion, left_input=287, right_input=641, 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=-2187, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3516⩠)/⫖↰⪸3334⨎⫖↰⪸2867)⪝((⫖↰⪸737⨎⫖↰⪸796)⇻⋧≁⫖↰⪸20A0≁↽≥⫖↰⪸2511)∑⇟⊟((⫖↰⪸1117⫉⨲⊜⫖↰⪸A54)⇔⨋)⩘(⫖↰⪸3162≝⊰⇂)≦↸(↪⫪⫘⫖↰⪸1A56)=NaN","reverse_text":"NaN=((⫖↰⪸3516⩠)/⫖↰⪸3334⨎⫖↰⪸2867)⪝((⫖↰⪸737⨎⫖↰⪸796)⇻⋧≁⫖↰⪸20A0≁↽≥⫖↰⪸2511)∑⇟⊟((⫖↰⪸1117⫉⨲⊜⫖↰⪸A54)⇔⨋)⩘(⫖↰⪸3162≝⊰⇂)≦↸(↪⫪⫘⫖↰⪸1A56)","cot":[{"info":"⫖↰⪸3516⩠=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3334⨎⫖↰⪸2867=⫖↰⪸2867","layer":3},{"info":"⫖↰⪸0/⫖↰⪸2867=⫖↰⪸0","layer":2},{"info":"⫖↰⪸737⨎⫖↰⪸796=⫖↰⪸796","layer":3},{"info":"⫖↰⪸20A0≁↽≥⫖↰⪸2511=⫖↰⪸30958","layer":3},{"info":"⫖↰⪸796⇻⋧≁⫖↰⪸30958=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸0⪝⫖↰⪸-313=⫖↰⪸-1323","layer":1},{"info":"⫖↰⪸1117⫉⨲⊜⫖↰⪸A54=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⇔⨋=⫖↰⪸1BB","layer":2},{"info":"⫖↰⪸3162≝⊰⇂=⫖↰⪸0","layer":3},{"info":"↪⫪⫘⫖↰⪸1A56=⫖↰⪸18","layer":3},{"info":"⫖↰⪸0≦↸⫖↰⪸18=⫖↰⪸455","layer":2},{"info":"⫖↰⪸1BB⩘⫖↰⪸455=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-1323∑⇟⊟⫖↰⪸114=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"(⨈⫕($1154$⨪↰⇹$2010$)∇⊂⋱(⫖→$2966$))≳⇉(↥≼⋛(↡$2199$)⊝⪿⪼($5412$⩒⫫$5664$))","expression":"(⨈⫕(⫖↰⪸802⨪↰⇹⫖↰⪸11B6)∇⊂⋱(⫖→⫖↰⪸1872))≳⇉(↥≼⋛(↡⫖↰⪸1333)⊝⪿⪼(⫖↰⪸3170⩒⫫⫖↰⪸3340))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":230056,"operation_count":9,"complexity_ratio":25561.777777777777,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1154,"base":12},"right_expr":{"type":"numeric_atoms","value":2010,"base":12}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2966,"base":12}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2199,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5412,"base":12},"right_expr":{"type":"numeric_atoms","value":5664,"base":12}}}}},"used_operators":["V0kx6qeWkN","megm06wKyl","nhYeJWJD5X","tmPS8pqC7x","U4ylXWHChL","x5lMkHmzsq","3Oe9XWJUTD","MXaNJeIAZ3","KFSx94NKJn"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rJVOvQCfKK","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2010, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1154","layer":3},{"info":"number node, value=2966","layer":4},{"info":"compute unary expreesion, input=2966, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1154, right_input=177, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1762","layer":2},{"info":"compute unary expreesion, input=1762, 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=2199","layer":4},{"info":"compute unary expreesion, input=2199, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=19791","layer":3},{"info":"number node, value=5412","layer":4},{"info":"number node, value=5664","layer":4},{"info":"compute binary expreesion, left_input=5412, right_input=5664, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5110","layer":3},{"info":"compute binary expreesion, left_input=19791, right_input=5110, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=256907","layer":2},{"info":"compute unary expreesion, input=256907, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-113, 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":12,"result_base":12,"text":"(⨈⫕(⫖↰⪸802⨪↰⇹⫖↰⪸11B6)∇⊂⋱(⫖→⫖↰⪸1872))≳⇉(↥≼⋛(↡⫖↰⪸1333)⊝⪿⪼(⫖↰⪸3170⩒⫫⫖↰⪸3340))=NaN","reverse_text":"NaN=(⨈⫕(⫖↰⪸802⨪↰⇹⫖↰⪸11B6)∇⊂⋱(⫖→⫖↰⪸1872))≳⇉(↥≼⋛(↡⫖↰⪸1333)⊝⪿⪼(⫖↰⪸3170⩒⫫⫖↰⪸3340))","cot":[{"info":"⫖↰⪸802⨪↰⇹⫖↰⪸11B6=⫖↰⪸802","layer":3},{"info":"⫖→⫖↰⪸1872=⫖↰⪸129","layer":3},{"info":"⫖↰⪸802∇⊂⋱⫖↰⪸129=⫖↰⪸102A","layer":2},{"info":"⨈⫕⫖↰⪸102A=⫖↰⪸-19","layer":1},{"info":"↡⫖↰⪸1333=⫖↰⪸B553","layer":3},{"info":"⫖↰⪸3170⩒⫫⫖↰⪸3340=⫖↰⪸2B5A","layer":3},{"info":"⫖↰⪸B553⊝⪿⪼⫖↰⪸2B5A=⫖↰⪸10480B","layer":2},{"info":"↥≼⋛⫖↰⪸10480B=⫖↰⪸-95","layer":1},{"info":"⫖↰⪸-19≳⇉⫖↰⪸-95=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"⇤←($4637$⪮%⊝$2135$)∊∟⩊($2688$∝$2491$)⨓($5727$⋘⨑⨽)∘($8010$∼$1858$)","expression":"⇤←(⫖↰⪸2825⪮%⊝⫖↰⪸129B)∊∟⩊(⫖↰⪸1680∝⫖↰⪸1537)⨓(⫖↰⪸3393⋘⨑⨽)∘(⫖↰⪸4776∼⫖↰⪸10AA)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":235584,"operation_count":8,"complexity_ratio":29448.0,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4637,"base":12},"right_expr":{"type":"numeric_atoms","value":2135,"base":12}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2688,"base":12},"right_expr":{"type":"numeric_atoms","value":2491,"base":12}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":5727,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8010,"base":12},"right_expr":{"type":"numeric_atoms","value":1858,"base":12}}}}},"used_operators":["jfAgQ2OQeM","3ViojmjbAp","ddLRYrp01A","IWmyXbctLI","cTDWOvIxvz","Z5m6OM72h2","WmT3o8z6ya","DyGG3AbaNP"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫖↰⪸2A375","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4637","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=2135, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9590","layer":3},{"info":"number node, value=2688","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=2491, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2693","layer":3},{"info":"compute binary expreesion, left_input=9590, right_input=2693, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2693","layer":2},{"info":"number node, value=5727","layer":4},{"info":"compute unary expreesion, input=5727, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=29418","layer":3},{"info":"number node, value=8010","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=8010, right_input=1858, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29418, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=58836","layer":2},{"info":"compute binary expreesion, left_input=2693, right_input=58836, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-58839","layer":1},{"info":"compute unary expreesion, input=-58839, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=59273","layer":0}],"base":12,"result_base":12,"text":"⇤←(⫖↰⪸2825⪮%⊝⫖↰⪸129B)∊∟⩊(⫖↰⪸1680∝⫖↰⪸1537)⨓(⫖↰⪸3393⋘⨑⨽)∘(⫖↰⪸4776∼⫖↰⪸10AA)=⫖↰⪸2A375","reverse_text":"⫖↰⪸2A375=⇤←(⫖↰⪸2825⪮%⊝⫖↰⪸129B)∊∟⩊(⫖↰⪸1680∝⫖↰⪸1537)⨓(⫖↰⪸3393⋘⨑⨽)∘(⫖↰⪸4776∼⫖↰⪸10AA)","cot":[{"info":"⫖↰⪸2825⪮%⊝⫖↰⪸129B=⫖↰⪸5672","layer":3},{"info":"⫖↰⪸1680∝⫖↰⪸1537=⫖↰⪸1685","layer":3},{"info":"⫖↰⪸5672∊∟⩊⫖↰⪸1685=⫖↰⪸1685","layer":2},{"info":"⫖↰⪸3393⋘⨑⨽=⫖↰⪸15036","layer":3},{"info":"⫖↰⪸4776∼⫖↰⪸10AA=NaN","layer":3},{"info":"⫖↰⪸15036∘NaN=⫖↰⪸2A070","layer":2},{"info":"⫖↰⪸1685⨓⫖↰⪸2A070=⫖↰⪸-2A073","layer":1},{"info":"⇤←⫖↰⪸-2A073=⫖↰⪸2A375","layer":0}]}
{"id":824,"expression_no_base_symbol":"≯(⇖(⇨$8748$))⇤(($1419$≃⋄)⊿∆)","expression":"≯(⇖(⇨⫖↰⪸5090))⇤((⫖↰⪸9A3≃⋄)⊿∆)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":52,"operation_count":6,"complexity_ratio":8.666666666666666,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":8748,"base":12}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1419,"base":12}}}}},"used_operators":["keWfFq85dY","YSKBFp38Pu","tfWHHpNKUN","G9tJMlZ94a","fv3ZujxkQL","aN9a90urxU"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2DQ55sFlQl","k8jYdgA6NY","NTOWxs364D","uFcxV4UQCh","jLgFTUHLKL"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8748","layer":4},{"info":"compute unary expreesion, input=8748, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-1649","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1649, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=10293","layer":1},{"info":"compute unary expreesion, input=10293, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":12,"result_base":12,"text":"≯(⇖(⇨⫖↰⪸5090))⇤((⫖↰⪸9A3≃⋄)⊿∆)=⫖↰⪸0","reverse_text":"⫖↰⪸0=≯(⇖(⇨⫖↰⪸5090))⇤((⫖↰⪸9A3≃⋄)⊿∆)","cot":[{"info":"⇨⫖↰⪸5090=⫖↰⪸0","layer":3},{"info":"⇖⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"⫖↰⪸9A3≃⋄=⫖↰⪸538","layer":3},{"info":"⫖↰⪸538⊿∆=⫖↰⪸-B55","layer":2},{"info":"⫖↰⪸114⇤⫖↰⪸-B55=⫖↰⪸5B59","layer":1},{"info":"≯⫖↰⪸5B59=⫖↰⪸0","layer":0}]}
{"id":825,"expression_no_base_symbol":"(((↔$5688$)⫑%∭)⫚↹⊑($1762$∑⇟⊟$1472$⫡⨏$2199$→⨶⪴$1746$))⇣⩺⋵(⊥(⨣⨃⇪$1036$≝⊿$2892$))","expression":"(((↔⫖↰⪸3360)⫑%∭)⫚↹⊑(⫖↰⪸102A∑⇟⊟⫖↰⪸A28⫡⨏⫖↰⪸1333→⨶⪴⫖↰⪸1016))⇣⩺⋵(⊥(⨣⨃⇪⫖↰⪸724≝⊿⫖↰⪸1810))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1077,"operation_count":10,"complexity_ratio":107.7,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5688,"base":12}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1762,"base":12},"right_expr":{"type":"numeric_atoms","value":1472,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2199,"base":12},"right_expr":{"type":"numeric_atoms","value":1746,"base":12}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1036,"base":12},"right_expr":{"type":"numeric_atoms","value":2892,"base":12}}}}},"used_operators":["F4yD0voBRQ","dfKe02y8D2","xUx7qlDO4z","ruOEQAzv1W","QMFrweE19q","U7g4x0WXJJ","bF6eod5Gvf","Q3PJZHRvZv","AcOhelriW5","OKKcZfAt5B"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","9FxExcQeMw","fu6greOZ01","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","12rbrZMWeM"],"result":"⫖↰⪸-198","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5688","layer":4},{"info":"compute unary expreesion, input=5688, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5415","layer":3},{"info":"compute unary expreesion, input=-5415, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"number node, value=1762","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1472, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2199","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1746, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5238, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1036","layer":4},{"info":"number node, value=2892","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2892, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7353","layer":3},{"info":"compute unary expreesion, input=-7353, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute unary expreesion, input=1405, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":12,"result_base":12,"text":"(((↔⫖↰⪸3360)⫑%∭)⫚↹⊑(⫖↰⪸102A∑⇟⊟⫖↰⪸A28⫡⨏⫖↰⪸1333→⨶⪴⫖↰⪸1016))⇣⩺⋵(⊥(⨣⨃⇪⫖↰⪸724≝⊿⫖↰⪸1810))=⫖↰⪸-198","reverse_text":"⫖↰⪸-198=(((↔⫖↰⪸3360)⫑%∭)⫚↹⊑(⫖↰⪸102A∑⇟⊟⫖↰⪸A28⫡⨏⫖↰⪸1333→⨶⪴⫖↰⪸1016))⇣⩺⋵(⊥(⨣⨃⇪⫖↰⪸724≝⊿⫖↰⪸1810))","cot":[{"info":"↔⫖↰⪸3360=⫖↰⪸-3173","layer":3},{"info":"⫖↰⪸-3173⫑%∭=NaN","layer":2},{"info":"⫖↰⪸102A∑⇟⊟⫖↰⪸A28=NaN","layer":3},{"info":"⫖↰⪸1333→⨶⪴⫖↰⪸1016=⫖↰⪸-3046","layer":3},{"info":"NaN⫡⨏⫖↰⪸-3046=NaN","layer":2},{"info":"NaN⫚↹⊑NaN=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸724≝⊿⫖↰⪸1810=⫖↰⪸-4309","layer":3},{"info":"⨣⨃⇪⫖↰⪸-4309=⫖↰⪸991","layer":2},{"info":"⊥⫖↰⪸991=NaN","layer":1},{"info":"⫖↰⪸-313⇣⩺⋵NaN=⫖↰⪸-198","layer":0}]}
{"id":826,"expression_no_base_symbol":"((⨴⫝(≅≯⇸$1473$))∙∹∝(⨭⩧⫛($2650$⪢$1282$)))⩟","expression":"((⨴⫝(≅≯⇸⫖↰⪸A29))∙∹∝(⨭⩧⫛(⫖↰⪸164A⪢⫖↰⪸8AA)))⩟","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3515,"operation_count":6,"complexity_ratio":585.8333333333334,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1473,"base":12}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2650,"base":12},"right_expr":{"type":"numeric_atoms","value":1282,"base":12}}}}},"used_operators":["fOIeswaMU4","HmxsFra2vL","SVb2v531z1","apS25hmuAe","g21JL6JxX7","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","EBcxylXtPf","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","k8jYdgA6NY"],"result":"⫖↰⪸863","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=13569","layer":3},{"info":"compute unary expreesion, input=13569, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"number node, value=2650","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=1282, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2828198, right_input=nan, 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 = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=1227","layer":0}],"base":12,"result_base":12,"text":"((⨴⫝(≅≯⇸⫖↰⪸A29))∙∹∝(⨭⩧⫛(⫖↰⪸164A⪢⫖↰⪸8AA)))⩟=⫖↰⪸863","reverse_text":"⫖↰⪸863=((⨴⫝(≅≯⇸⫖↰⪸A29))∙∹∝(⨭⩧⫛(⫖↰⪸164A⪢⫖↰⪸8AA)))⩟","cot":[{"info":"≅≯⇸⫖↰⪸A29=⫖↰⪸7A29","layer":3},{"info":"⨴⫝⫖↰⪸7A29=⫖↰⪸B44832","layer":2},{"info":"⫖↰⪸164A⪢⫖↰⪸8AA=NaN","layer":3},{"info":"⨭⩧⫛NaN=NaN","layer":2},{"info":"⫖↰⪸B44832∙∹∝NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⩟=⫖↰⪸863","layer":0}]}
{"id":827,"expression_no_base_symbol":"($1886$⪒⊣⊆$8123$∌($1973$⫚↹⊑$5516$)→⨶⪴($4434$⨚$5150$⪡$3750$≒∊$2929$))⪃⊛⇣($2068$⩧⪆$1623$↡⊰⫅(⋂$1949$)⊭↱(∂⩏⊆$1003$)↡⊰⫅$2202$⩵∡$2114$)","expression":"(⫖↰⪸1112⪒⊣⊆⫖↰⪸484B∌(⫖↰⪸1185⫚↹⊑⫖↰⪸3238)→⨶⪴(⫖↰⪸2696⨚⫖↰⪸2B92⪡⫖↰⪸2206≒∊⫖↰⪸1841))⪃⊛⇣(⫖↰⪸1244⩧⪆⫖↰⪸B33↡⊰⫅(⋂⫖↰⪸1165)⊭↱(∂⩏⊆⫖↰⪸6B7)↡⊰⫅⫖↰⪸1336⩵∡⫖↰⪸1282)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":408104,"operation_count":15,"complexity_ratio":27206.933333333334,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1886,"base":12},"right_expr":{"type":"numeric_atoms","value":8123,"base":12}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1973,"base":12},"right_expr":{"type":"numeric_atoms","value":5516,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4434,"base":12},"right_expr":{"type":"numeric_atoms","value":5150,"base":12}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3750,"base":12},"right_expr":{"type":"numeric_atoms","value":2929,"base":12}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2068,"base":12},"right_expr":{"type":"numeric_atoms","value":1623,"base":12}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1949,"base":12}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1003,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2202,"base":12},"right_expr":{"type":"numeric_atoms","value":2114,"base":12}}}}},"used_operators":["rrgAzCduG9","bF6eod5Gvf","8cLx32lpNA","eRqsBgTDFp","dfKe02y8D2","oraRL2iQuh","nREPSIbpBE","5KTvxBwnZo","COABgblf1C","VCtxkLNOzz","Ikt5ks8PT7","BUOGQAYlQx","8WDwsbhb0R","Y7wcNGrDQJ"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8w2t5hMYqp","9FxExcQeMw","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","BjRHVeLaeN","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","14qkJME0vr","eLAdDNolq6","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"number node, value=8123","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=8123, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3772","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=5516, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=3772, right_input=-447, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=447","layer":2},{"info":"number node, value=4434","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=5150, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10798","layer":3},{"info":"number node, value=3750","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=2929, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3266","layer":3},{"info":"compute binary expreesion, left_input=-10798, right_input=-3266, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=22564","layer":2},{"info":"compute binary expreesion, left_input=447, right_input=22564, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-67692","layer":1},{"info":"number node, value=2068","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=1623, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1623","layer":3},{"info":"number node, value=1949","layer":4},{"info":"compute unary expreesion, input=1949, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-26690","layer":3},{"info":"compute binary expreesion, left_input=-1623, right_input=-26690, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3088","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=2114, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2411","layer":3},{"info":"compute binary expreesion, left_input=-3088, right_input=-2411, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-67692, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1112⪒⊣⊆⫖↰⪸484B∌(⫖↰⪸1185⫚↹⊑⫖↰⪸3238)→⨶⪴(⫖↰⪸2696⨚⫖↰⪸2B92⪡⫖↰⪸2206≒∊⫖↰⪸1841))⪃⊛⇣(⫖↰⪸1244⩧⪆⫖↰⪸B33↡⊰⫅(⋂⫖↰⪸1165)⊭↱(∂⩏⊆⫖↰⪸6B7)↡⊰⫅⫖↰⪸1336⩵∡⫖↰⪸1282)=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(⫖↰⪸1112⪒⊣⊆⫖↰⪸484B∌(⫖↰⪸1185⫚↹⊑⫖↰⪸3238)→⨶⪴(⫖↰⪸2696⨚⫖↰⪸2B92⪡⫖↰⪸2206≒∊⫖↰⪸1841))⪃⊛⇣(⫖↰⪸1244⩧⪆⫖↰⪸B33↡⊰⫅(⋂⫖↰⪸1165)⊭↱(∂⩏⊆⫖↰⪸6B7)↡⊰⫅⫖↰⪸1336⩵∡⫖↰⪸1282)","cot":[{"info":"⫖↰⪸1112⪒⊣⊆⫖↰⪸484B=⫖↰⪸2224","layer":3},{"info":"⫖↰⪸1185⫚↹⊑⫖↰⪸3238=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸2224∌⫖↰⪸-313=⫖↰⪸313","layer":2},{"info":"⫖↰⪸2696⨚⫖↰⪸2B92=⫖↰⪸-62BA","layer":3},{"info":"⫖↰⪸2206≒∊⫖↰⪸1841=⫖↰⪸-1A82","layer":3},{"info":"⫖↰⪸-62BA⪡⫖↰⪸-1A82=⫖↰⪸11084","layer":2},{"info":"⫖↰⪸313→⨶⪴⫖↰⪸11084=⫖↰⪸-33210","layer":1},{"info":"⫖↰⪸1244⩧⪆⫖↰⪸B33=⫖↰⪸-B33","layer":3},{"info":"⋂⫖↰⪸1165=⫖↰⪸-13542","layer":3},{"info":"⫖↰⪸-B33↡⊰⫅⫖↰⪸-13542=NaN","layer":2},{"info":"∂⩏⊆⫖↰⪸6B7=⫖↰⪸-1954","layer":3},{"info":"⫖↰⪸1336⩵∡⫖↰⪸1282=⫖↰⪸-148B","layer":3},{"info":"⫖↰⪸-1954↡⊰⫅⫖↰⪸-148B=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⫖↰⪸-33210⪃⊛⇣NaN=⫖↰⪸86A","layer":0}]}
{"id":828,"expression_no_base_symbol":"(∐⩳⋚($4424$⪛$1674$)≎⪠(⨡↴$4032$))⩼⇪↪((⫛⫱⨽$1414$)∀⋜↑)⫞⩸⩒((≅≯⇸$1006$)*$6456$⩵∡$4028$)","expression":"(∐⩳⋚(⫖↰⪸2688⪛⫖↰⪸B76)≎⪠(⨡↴⫖↰⪸2400))⩼⇪↪((⫛⫱⨽⫖↰⪸99A)∀⋜↑)⫞⩸⩒((≅≯⇸⫖↰⪸6BA)*⫖↰⪸38A0⩵∡⫖↰⪸23B8)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29752,"operation_count":11,"complexity_ratio":2704.7272727272725,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4424,"base":12},"right_expr":{"type":"numeric_atoms","value":1674,"base":12}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":4032,"base":12}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1414,"base":12}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1006,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6456,"base":12},"right_expr":{"type":"numeric_atoms","value":4028,"base":12}}}}},"used_operators":["ocnLzx9CaJ","SL6IHkK8vl","aNhz54LH3e","uFcxV4UQCh","liw5iZPkLH","XGcMNugi78","KipPnG1M2J","DlLNRPXxWL","9HNa5Wba9A","apS25hmuAe","Y7wcNGrDQJ"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","P8v4zCKN1o","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","rGHVDoGpnC","W4YGzv6Whe","EBcxylXtPf","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⫖↰⪸1B7242B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4424","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=4424, right_input=1674, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1076","layer":3},{"info":"number node, value=4032","layer":4},{"info":"compute unary expreesion, input=4032, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5081","layer":3},{"info":"compute binary expreesion, left_input=1076, right_input=5081, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=2934875","layer":1},{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=11701","layer":3},{"info":"number node, value=6456","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=6456, right_input=4028, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-9005","layer":3},{"info":"compute binary expreesion, left_input=11701, right_input=-9005, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-105367505","layer":2},{"info":"compute binary expreesion, left_input=-484, right_input=-105367505, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=2934875, right_input=-484, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=5872355","layer":0}],"base":12,"result_base":12,"text":"(∐⩳⋚(⫖↰⪸2688⪛⫖↰⪸B76)≎⪠(⨡↴⫖↰⪸2400))⩼⇪↪((⫛⫱⨽⫖↰⪸99A)∀⋜↑)⫞⩸⩒((≅≯⇸⫖↰⪸6BA)*⫖↰⪸38A0⩵∡⫖↰⪸23B8)=⫖↰⪸1B7242B","reverse_text":"⫖↰⪸1B7242B=(∐⩳⋚(⫖↰⪸2688⪛⫖↰⪸B76)≎⪠(⨡↴⫖↰⪸2400))⩼⇪↪((⫛⫱⨽⫖↰⪸99A)∀⋜↑)⫞⩸⩒((≅≯⇸⫖↰⪸6BA)*⫖↰⪸38A0⩵∡⫖↰⪸23B8)","cot":[{"info":"⫖↰⪸2688⪛⫖↰⪸B76=⫖↰⪸758","layer":3},{"info":"⨡↴⫖↰⪸2400=⫖↰⪸2B35","layer":3},{"info":"⫖↰⪸758≎⪠⫖↰⪸2B35=⫖↰⪸B39A","layer":2},{"info":"∐⩳⋚⫖↰⪸B39A=⫖↰⪸B9650B","layer":1},{"info":"⫛⫱⨽⫖↰⪸99A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0∀⋜↑=⫖↰⪸-344","layer":2},{"info":"≅≯⇸⫖↰⪸6BA=⫖↰⪸6931","layer":3},{"info":"⫖↰⪸38A0⩵∡⫖↰⪸23B8=⫖↰⪸-5265","layer":3},{"info":"⫖↰⪸6931*⫖↰⪸-5265=⫖↰⪸-2B354695","layer":2},{"info":"⫖↰⪸-344⫞⩸⩒⫖↰⪸-2B354695=⫖↰⪸-344","layer":1},{"info":"⫖↰⪸B9650B⩼⇪↪⫖↰⪸-344=⫖↰⪸1B7242B","layer":0}]}
{"id":829,"expression_no_base_symbol":"(↨⩢⫨(⊄⩳↩$4140$)↤⩊($5812$⊬⫿⊭))⨸((($4133$∠⫱$2132$)≃$5330$⊋$5316$)↢($6175$∺≝⩲$2813$≭$1327$⊔$1326$))","expression":"(↨⩢⫨(⊄⩳↩⫖↰⪸2490)↤⩊(⫖↰⪸3444⊬⫿⊭))⨸(((⫖↰⪸2485∠⫱⫖↰⪸1298)≃⫖↰⪸3102⊋⫖↰⪸30B0)↢(⫖↰⪸36A7∺≝⩲⫖↰⪸1765≭⫖↰⪸927⊔⫖↰⪸926))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":576,"operation_count":12,"complexity_ratio":48.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4140,"base":12}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":5812,"base":12}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4133,"base":12},"right_expr":{"type":"numeric_atoms","value":2132,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5330,"base":12},"right_expr":{"type":"numeric_atoms","value":5316,"base":12}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6175,"base":12},"right_expr":{"type":"numeric_atoms","value":2813,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1327,"base":12},"right_expr":{"type":"numeric_atoms","value":1326,"base":12}}}}},"used_operators":["KmoU8R5UQR","Z5CJsN7DuW","13rbtpv6ld","8w2t5hMYqp","v0DYgG9ikt","WR6HLWljOP","YbVcJGFEVW","QvoQhV0rrE","W4tP9CfskL","rxpJgHHUmx","KPf6cnQVty","E4l6HwMY31"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","AHs5Up7iyr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4140","layer":4},{"info":"compute unary expreesion, input=4140, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12420","layer":3},{"info":"number node, value=5812","layer":4},{"info":"compute unary expreesion, input=5812, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-17436","layer":3},{"info":"compute binary expreesion, left_input=-12420, right_input=-17436, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=4133","layer":4},{"info":"number node, value=2132","layer":4},{"info":"compute binary expreesion, left_input=4133, right_input=2132, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=5330","layer":4},{"info":"number node, value=5316","layer":4},{"info":"compute binary expreesion, left_input=5330, right_input=5316, 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=2219852","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2219852, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4976","layer":2},{"info":"number node, value=6175","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=6175, right_input=2813, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1327","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=1326, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6884","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6884, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4976, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↨⩢⫨(⊄⩳↩⫖↰⪸2490)↤⩊(⫖↰⪸3444⊬⫿⊭))⨸(((⫖↰⪸2485∠⫱⫖↰⪸1298)≃⫖↰⪸3102⊋⫖↰⪸30B0)↢(⫖↰⪸36A7∺≝⩲⫖↰⪸1765≭⫖↰⪸927⊔⫖↰⪸926))=NaN","reverse_text":"NaN=(↨⩢⫨(⊄⩳↩⫖↰⪸2490)↤⩊(⫖↰⪸3444⊬⫿⊭))⨸(((⫖↰⪸2485∠⫱⫖↰⪸1298)≃⫖↰⪸3102⊋⫖↰⪸30B0)↢(⫖↰⪸36A7∺≝⩲⫖↰⪸1765≭⫖↰⪸927⊔⫖↰⪸926))","cot":[{"info":"⊄⩳↩⫖↰⪸2490=⫖↰⪸-7230","layer":3},{"info":"⫖↰⪸3444⊬⫿⊭=⫖↰⪸-A110","layer":3},{"info":"⫖↰⪸-7230↤⩊⫖↰⪸-A110=NaN","layer":2},{"info":"↨⩢⫨NaN=⫖↰⪸0","layer":1},{"info":"⫖↰⪸2485∠⫱⫖↰⪸1298=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸3102⊋⫖↰⪸30B0=⫖↰⪸8B0778","layer":3},{"info":"⫖↰⪸86A≃⫖↰⪸8B0778=⫖↰⪸-2A68","layer":2},{"info":"⫖↰⪸36A7∺≝⩲⫖↰⪸1765=⫖↰⪸114","layer":3},{"info":"⫖↰⪸927⊔⫖↰⪸926=⫖↰⪸3B98","layer":3},{"info":"⫖↰⪸114≭⫖↰⪸3B98=NaN","layer":2},{"info":"⫖↰⪸-2A68↢NaN=NaN","layer":1},{"info":"⫖↰⪸0⨸NaN=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"($1035$≎⊠⪸$4798$∖(⇉-⫰$6453$))⨔⇊(($2416$≒∊$1023$)⇞)⇡","expression":"(⫖↰⪸723≎⊠⪸⫖↰⪸293A∖(⇉-⫰⫖↰⪸3899))⨔⇊((⫖↰⪸1494≒∊⫖↰⪸713)⇞)⇡","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":563,"operation_count":7,"complexity_ratio":80.42857142857143,"tree":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1035,"base":12},"right_expr":{"type":"numeric_atoms","value":4798,"base":12}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":6453,"base":12}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2416,"base":12},"right_expr":{"type":"numeric_atoms","value":1023,"base":12}}}}},"used_operators":["UqFzSgLMvQ","JclMnS0uGI","tXD093vOjl","bJkvcejdHO","IGFM8TAlm9","5JYyxRJd4f","5KTvxBwnZo"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⫖↰⪸-1831","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=4798","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=4798, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=267592","layer":3},{"info":"number node, value=6453","layer":4},{"info":"compute unary expreesion, input=6453, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=267592, right_input=20, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=2416","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=1023, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1932","layer":3},{"info":"compute unary expreesion, input=-1932, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-537, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸723≎⊠⪸⫖↰⪸293A∖(⇉-⫰⫖↰⪸3899))⨔⇊((⫖↰⪸1494≒∊⫖↰⪸713)⇞)⇡=⫖↰⪸-1831","reverse_text":"⫖↰⪸-1831=(⫖↰⪸723≎⊠⪸⫖↰⪸293A∖(⇉-⫰⫖↰⪸3899))⨔⇊((⫖↰⪸1494≒∊⫖↰⪸713)⇞)⇡","cot":[{"info":"⫖↰⪸723≎⊠⪸⫖↰⪸293A=⫖↰⪸10AA34","layer":3},{"info":"⇉-⫰⫖↰⪸3899=⫖↰⪸18","layer":3},{"info":"⫖↰⪸10AA34∖⫖↰⪸18=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1494≒∊⫖↰⪸713=⫖↰⪸-1150","layer":3},{"info":"⫖↰⪸-1150⇞=⫖↰⪸-389","layer":2},{"info":"⫖↰⪸0⨔⇊⫖↰⪸-389=⫖↰⪸57","layer":1},{"info":"⫖↰⪸57⇡=⫖↰⪸-1831","layer":0}]}
{"id":831,"expression_no_base_symbol":"(((≇⪴$2172$)⫠↝⫳)⋆⋳)⨪↰⇹($1853$⇉⇉)⊮⊟↴($6406$→⨶⪴$4690$)⨔⇊((⪁⇼$1862$)≨$2216$⪃⊛⇣$3077$)","expression":"(((≇⪴⫖↰⪸1310)⫠↝⫳)⋆⋳)⨪↰⇹(⫖↰⪸10A5⇉⇉)⊮⊟↴(⫖↰⪸385A→⨶⪴⫖↰⪸286A)⨔⇊((⪁⇼⫖↰⪸10B2)≨⫖↰⪸1348⪃⊛⇣⫖↰⪸1945)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":330804,"operation_count":11,"complexity_ratio":30073.090909090908,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2172,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1853,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6406,"base":12},"right_expr":{"type":"numeric_atoms","value":4690,"base":12}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1862,"base":12}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2216,"base":12},"right_expr":{"type":"numeric_atoms","value":3077,"base":12}}}}},"used_operators":["tmPS8pqC7x","6MpZysEj17","8n5YIzOsVS","zoVPnxeHJ3","JclMnS0uGI","QDVgd2eftb","diKm42VcIt","bF6eod5Gvf","0KMCeP1Jsh","ZNVVrZ94lY","rrgAzCduG9"],"dependent_operators":["rJVOvQCfKK","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","8w2t5hMYqp","9FxExcQeMw","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⫖↰⪸13AB6A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5176","layer":3},{"info":"compute unary expreesion, input=-5176, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-165009","layer":2},{"info":"compute unary expreesion, input=-165009, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=329986","layer":1},{"info":"number node, value=1853","layer":4},{"info":"compute unary expreesion, input=1853, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-111260","layer":3},{"info":"number node, value=6406","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=6406, right_input=4690, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-14070","layer":3},{"info":"compute binary expreesion, left_input=-111260, right_input=-14070, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=2216","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=3077, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=1234, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-1744","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1744, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=329986, right_input=67, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=329986","layer":0}],"base":12,"result_base":12,"text":"(((≇⪴⫖↰⪸1310)⫠↝⫳)⋆⋳)⨪↰⇹(⫖↰⪸10A5⇉⇉)⊮⊟↴(⫖↰⪸385A→⨶⪴⫖↰⪸286A)⨔⇊((⪁⇼⫖↰⪸10B2)≨⫖↰⪸1348⪃⊛⇣⫖↰⪸1945)=⫖↰⪸13AB6A","reverse_text":"⫖↰⪸13AB6A=(((≇⪴⫖↰⪸1310)⫠↝⫳)⋆⋳)⨪↰⇹(⫖↰⪸10A5⇉⇉)⊮⊟↴(⫖↰⪸385A→⨶⪴⫖↰⪸286A)⨔⇊((⪁⇼⫖↰⪸10B2)≨⫖↰⪸1348⪃⊛⇣⫖↰⪸1945)","cot":[{"info":"≇⪴⫖↰⪸1310=⫖↰⪸-2BB4","layer":3},{"info":"⫖↰⪸-2BB4⫠↝⫳=⫖↰⪸-7B5A9","layer":2},{"info":"⫖↰⪸-7B5A9⋆⋳=⫖↰⪸13AB6A","layer":1},{"info":"⫖↰⪸10A5⇉⇉=⫖↰⪸-54478","layer":3},{"info":"⫖↰⪸385A→⨶⪴⫖↰⪸286A=⫖↰⪸-8186","layer":3},{"info":"⫖↰⪸-54478⊮⊟↴⫖↰⪸-8186=⫖↰⪸0","layer":2},{"info":"⪁⇼⫖↰⪸10B2=⫖↰⪸2B2","layer":3},{"info":"⫖↰⪸1348⪃⊛⇣⫖↰⪸1945=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸2B2≨⫖↰⪸86A=⫖↰⪸-1014","layer":2},{"info":"⫖↰⪸0⨔⇊⫖↰⪸-1014=⫖↰⪸57","layer":1},{"info":"⫖↰⪸13AB6A⨪↰⇹⫖↰⪸57=⫖↰⪸13AB6A","layer":0}]}
{"id":832,"expression_no_base_symbol":"((⇠($2105$⊾⪯⋞$7603$))⪒(∓(≛$5249$)))⨻⩈⩔($9286$⪭$1101$∝($1841$⫻⋑⊟))⇡⇂($2841$≎⊠⪸$8664$⪄$5007$⫒⫫$5603$)","expression":"((⇠(⫖↰⪸1275⊾⪯⋞⫖↰⪸4497))⪒(∓(≛⫖↰⪸3055)))⨻⩈⩔(⫖↰⪸545A⪭⫖↰⪸779∝(⫖↰⪸1095⫻⋑⊟))⇡⇂(⫖↰⪸1789≎⊠⪸⫖↰⪸5020⪄⫖↰⪸2A93⫒⫫⫖↰⪸32AB)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1167,"operation_count":13,"complexity_ratio":89.76923076923077,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2105,"base":12},"right_expr":{"type":"numeric_atoms","value":7603,"base":12}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5249,"base":12}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":9286,"base":12},"right_expr":{"type":"numeric_atoms","value":1101,"base":12}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1841,"base":12}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2841,"base":12},"right_expr":{"type":"numeric_atoms","value":8664,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5007,"base":12},"right_expr":{"type":"numeric_atoms","value":5603,"base":12}}}}},"used_operators":["nEsXyWgiOK","f6k1SAg4EE","18saOjeKKm","HK0tfVPux8","OwUj7dcsQK","W7eaUhjymW","UMwdvZNt44","cTDWOvIxvz","j9kHMeSvPp","o575Zjdmzy","SUmda5xLS4","bJkvcejdHO","6Ko8hGgeMq"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","7j4O788W3g","W4YGzv6Whe","COABgblf1C","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⫖↰⪸7037B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2105","layer":4},{"info":"number node, value=7603","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=7603, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=14780","layer":3},{"info":"compute unary expreesion, input=14780, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-14538","layer":2},{"info":"number node, value=5249","layer":4},{"info":"compute unary expreesion, input=5249, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute unary expreesion, input=-10, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-4722","layer":2},{"info":"compute binary expreesion, left_input=-14538, right_input=-4722, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=19260","layer":1},{"info":"number node, value=9286","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=9286, right_input=1101, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1841","layer":4},{"info":"compute unary expreesion, input=1841, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3172","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-3172, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=10","layer":2},{"info":"number node, value=2841","layer":4},{"info":"number node, value=8664","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=8664, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=735346","layer":3},{"info":"number node, value=5007","layer":4},{"info":"number node, value=5603","layer":4},{"info":"compute binary expreesion, left_input=5007, right_input=5603, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=735346, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-13","layer":1},{"info":"compute binary expreesion, left_input=19260, right_input=-13, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=145679","layer":0}],"base":12,"result_base":12,"text":"((⇠(⫖↰⪸1275⊾⪯⋞⫖↰⪸4497))⪒(∓(≛⫖↰⪸3055)))⨻⩈⩔(⫖↰⪸545A⪭⫖↰⪸779∝(⫖↰⪸1095⫻⋑⊟))⇡⇂(⫖↰⪸1789≎⊠⪸⫖↰⪸5020⪄⫖↰⪸2A93⫒⫫⫖↰⪸32AB)=⫖↰⪸7037B","reverse_text":"⫖↰⪸7037B=((⇠(⫖↰⪸1275⊾⪯⋞⫖↰⪸4497))⪒(∓(≛⫖↰⪸3055)))⨻⩈⩔(⫖↰⪸545A⪭⫖↰⪸779∝(⫖↰⪸1095⫻⋑⊟))⇡⇂(⫖↰⪸1789≎⊠⪸⫖↰⪸5020⪄⫖↰⪸2A93⫒⫫⫖↰⪸32AB)","cot":[{"info":"⫖↰⪸1275⊾⪯⋞⫖↰⪸4497=⫖↰⪸8678","layer":3},{"info":"⇠⫖↰⪸8678=⫖↰⪸-84B6","layer":2},{"info":"≛⫖↰⪸3055=⫖↰⪸-A","layer":3},{"info":"∓⫖↰⪸-A=⫖↰⪸-2896","layer":2},{"info":"⫖↰⪸-84B6⪒⫖↰⪸-2896=⫖↰⪸B190","layer":1},{"info":"⫖↰⪸545A⪭⫖↰⪸779=⫖↰⪸5","layer":3},{"info":"⫖↰⪸1095⫻⋑⊟=⫖↰⪸-1A04","layer":3},{"info":"⫖↰⪸5∝⫖↰⪸-1A04=⫖↰⪸A","layer":2},{"info":"⫖↰⪸1789≎⊠⪸⫖↰⪸5020=⫖↰⪸2B566A","layer":3},{"info":"⫖↰⪸2A93⫒⫫⫖↰⪸32AB=NaN","layer":3},{"info":"⫖↰⪸2B566A⪄NaN=NaN","layer":2},{"info":"⫖↰⪸A⇡⇂NaN=⫖↰⪸-11","layer":1},{"info":"⫖↰⪸B190⨻⩈⩔⫖↰⪸-11=⫖↰⪸7037B","layer":0}]}
{"id":833,"expression_no_base_symbol":"((⊆⋠(⨙⪌$1166$))⫌⩉⩟($4800$≹⇙⪍$3093$)↳≱($5814$⨜⨶$3045$))↸(($3384$∖$3167$)⪣⫩)⇻⋧≁((⋠∜$2504$)⫲)","expression":"((⊆⋠(⨙⪌⫖↰⪸812))⫌⩉⩟(⫖↰⪸2940≹⇙⪍⫖↰⪸1959)↳≱(⫖↰⪸3446⨜⨶⫖↰⪸1919))↸((⫖↰⪸1B60∖⫖↰⪸19BB)⪣⫩)⇻⋧≁((⋠∜⫖↰⪸1548)⫲)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4025,"operation_count":12,"complexity_ratio":335.4166666666667,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1166,"base":12}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4800,"base":12},"right_expr":{"type":"numeric_atoms","value":3093,"base":12}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5814,"base":12},"right_expr":{"type":"numeric_atoms","value":3045,"base":12}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3384,"base":12},"right_expr":{"type":"numeric_atoms","value":3167,"base":12}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2504,"base":12}}}}},"used_operators":["1eCjFl0mb9","XIIwhv8d0m","EBhcHTkKd8","vEGLkm4Z2k","JwTKLfZU96","AHs5Up7iyr","HiPekx5b7W","jCPkEVoL5K","iuk5sVOGFA","tXD093vOjl","9xnGDUPbC6","ZJpFhNJr3x"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","dWAJyo7jo9","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"⫖↰⪸162","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"number node, value=4800","layer":4},{"info":"number node, value=3093","layer":4},{"info":"compute binary expreesion, left_input=4800, right_input=3093, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5814","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=5814, right_input=3045, 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=-5834","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5834, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=218","layer":1},{"info":"number node, value=3384","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=3167, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"number node, value=2504","layer":4},{"info":"compute unary expreesion, input=2504, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=12300","layer":3},{"info":"compute unary expreesion, input=12300, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=12027","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=12027, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=-447, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=218","layer":0}],"base":12,"result_base":12,"text":"((⊆⋠(⨙⪌⫖↰⪸812))⫌⩉⩟(⫖↰⪸2940≹⇙⪍⫖↰⪸1959)↳≱(⫖↰⪸3446⨜⨶⫖↰⪸1919))↸((⫖↰⪸1B60∖⫖↰⪸19BB)⪣⫩)⇻⋧≁((⋠∜⫖↰⪸1548)⫲)=⫖↰⪸162","reverse_text":"⫖↰⪸162=((⊆⋠(⨙⪌⫖↰⪸812))⫌⩉⩟(⫖↰⪸2940≹⇙⪍⫖↰⪸1959)↳≱(⫖↰⪸3446⨜⨶⫖↰⪸1919))↸((⫖↰⪸1B60∖⫖↰⪸19BB)⪣⫩)⇻⋧≁((⋠∜⫖↰⪸1548)⫲)","cot":[{"info":"⨙⪌⫖↰⪸812=⫖↰⪸604","layer":3},{"info":"⊆⋠⫖↰⪸604=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2940≹⇙⪍⫖↰⪸1959=NaN","layer":3},{"info":"⫖↰⪸3446⨜⨶⫖↰⪸1919=⫖↰⪸-3462","layer":3},{"info":"NaN↳≱⫖↰⪸-3462=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⫌⩉⩟⫖↰⪸0=⫖↰⪸162","layer":1},{"info":"⫖↰⪸1B60∖⫖↰⪸19BB=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⪣⫩=⫖↰⪸641","layer":2},{"info":"⋠∜⫖↰⪸1548=⫖↰⪸7150","layer":3},{"info":"⫖↰⪸7150⫲=⫖↰⪸6B63","layer":2},{"info":"⫖↰⪸641⇻⋧≁⫖↰⪸6B63=⫖↰⪸-313","layer":1},{"info":"⫖↰⪸162↸⫖↰⪸-313=⫖↰⪸162","layer":0}]}
{"id":834,"expression_no_base_symbol":"((⇠($1232$∷$1124$))∠⫱($5930$≌$3752$⊬⫿⊭))↬($2147$⨼⩣$8684$⪢$2647$⫁⪎$2443$⊨((⇖$6802$)≃(⇜⊴$2365$)))","expression":"((⇠(⫖↰⪸868∷⫖↰⪸798))∠⫱(⫖↰⪸3522≌⫖↰⪸2208⊬⫿⊭))↬(⫖↰⪸12AB⨼⩣⫖↰⪸5038⪢⫖↰⪸1647⫁⪎⫖↰⪸14B7⊨((⇖⫖↰⪸3B2A)≃(⇜⊴⫖↰⪸1451)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4602,"operation_count":13,"complexity_ratio":354.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1232,"base":12},"right_expr":{"type":"numeric_atoms","value":1124,"base":12}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5930,"base":12},"right_expr":{"type":"numeric_atoms","value":3752,"base":12}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2147,"base":12},"right_expr":{"type":"numeric_atoms","value":8684,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2647,"base":12},"right_expr":{"type":"numeric_atoms","value":2443,"base":12}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":6802,"base":12}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2365,"base":12}}}}},"used_operators":["B5M0gjZbta","QvoQhV0rrE","18saOjeKKm","D3AQDKkPcf","v0DYgG9ikt","lyWz822IDG","vg4gO5BX6G","dWAJyo7jo9","JxwMv5le6e","xRrnTEsQ6j","YbVcJGFEVW","tfWHHpNKUN","XwDhCwWbUn"],"dependent_operators":["rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","k8jYdgA6NY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","2DQ55sFlQl","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=1124, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1124","layer":3},{"info":"compute unary expreesion, input=1124, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-882","layer":2},{"info":"number node, value=5930","layer":4},{"info":"number node, value=3752","layer":4},{"info":"compute binary expreesion, left_input=5930, right_input=3752, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-882, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=2147","layer":4},{"info":"number node, value=8684","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=8684, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2647","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=2443, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6802","layer":4},{"info":"compute unary expreesion, input=6802, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, 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=-544426","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-544426, 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=2177664","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2177664, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":12,"result_base":12,"text":"((⇠(⫖↰⪸868∷⫖↰⪸798))∠⫱(⫖↰⪸3522≌⫖↰⪸2208⊬⫿⊭))↬(⫖↰⪸12AB⨼⩣⫖↰⪸5038⪢⫖↰⪸1647⫁⪎⫖↰⪸14B7⊨((⇖⫖↰⪸3B2A)≃(⇜⊴⫖↰⪸1451)))=NaN","reverse_text":"NaN=((⇠(⫖↰⪸868∷⫖↰⪸798))∠⫱(⫖↰⪸3522≌⫖↰⪸2208⊬⫿⊭))↬(⫖↰⪸12AB⨼⩣⫖↰⪸5038⪢⫖↰⪸1647⫁⪎⫖↰⪸14B7⊨((⇖⫖↰⪸3B2A)≃(⇜⊴⫖↰⪸1451)))","cot":[{"info":"⫖↰⪸868∷⫖↰⪸798=⫖↰⪸798","layer":3},{"info":"⇠⫖↰⪸798=⫖↰⪸-616","layer":2},{"info":"⫖↰⪸3522≌⫖↰⪸2208=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"⫖↰⪸-616∠⫱NaN=NaN","layer":1},{"info":"⫖↰⪸12AB⨼⩣⫖↰⪸5038=NaN","layer":3},{"info":"⫖↰⪸1647⫁⪎⫖↰⪸14B7=⫖↰⪸150","layer":3},{"info":"NaN⪢⫖↰⪸150=NaN","layer":2},{"info":"⇖⫖↰⪸3B2A=⫖↰⪸114","layer":3},{"info":"⇜⊴⫖↰⪸1451=⫖↰⪸-22308A","layer":3},{"info":"⫖↰⪸114≃⫖↰⪸-22308A=⫖↰⪸890280","layer":2},{"info":"NaN⊨⫖↰⪸890280=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"($2954$≥⨤⩑$7516$⨐⩸⫘$2396$⋓$3591$↙((↥$3059$)↛⩡⫤))⇴(($4187$⪇≇⋚$1549$)⫁($1748$↬$5141$))⊕∕(($1029$≓∲$2312$)↦)","expression":"(⫖↰⪸1862≥⨤⩑⫖↰⪸4424⨐⩸⫘⫖↰⪸1478⋓⫖↰⪸20B3↙((↥⫖↰⪸192B)↛⩡⫤))⇴((⫖↰⪸250B⪇≇⋚⫖↰⪸A91)⫁(⫖↰⪸1018↬⫖↰⪸2B85))⊕∕((⫖↰⪸719≓∲⫖↰⪸1408)↦)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":237789,"operation_count":13,"complexity_ratio":18291.46153846154,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2954,"base":12},"right_expr":{"type":"numeric_atoms","value":7516,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2396,"base":12},"right_expr":{"type":"numeric_atoms","value":3591,"base":12}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3059,"base":12}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4187,"base":12},"right_expr":{"type":"numeric_atoms","value":1549,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1748,"base":12},"right_expr":{"type":"numeric_atoms","value":5141,"base":12}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1029,"base":12},"right_expr":{"type":"numeric_atoms","value":2312,"base":12}}}}},"used_operators":["4JB6nKBMSY","yyfyN0ffXY","fu6greOZ01","gJLn6v0xnP","T2fj7uvVaJ","FU0Cs4j7VP","A8NUZmVepG","9cloC0Ngie","0ajvFaJAv0","3sJ7IOPOlU","B5M0gjZbta","fFznvYxMfW","s1XTVnmDOJ"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","k8jYdgA6NY","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","cHh1gJQ2o6","AHs5Up7iyr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rGHVDoGpnC","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⫖↰⪸-31B40","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2954","layer":4},{"info":"number node, value=7516","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=7516, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=3591, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, 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=1234","layer":2},{"info":"number node, value=3059","layer":4},{"info":"compute unary expreesion, input=3059, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":3},{"info":"compute unary expreesion, input=50, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-3639","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-3639, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10917","layer":1},{"info":"number node, value=4187","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=4187, right_input=1549, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=5141, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=2312, 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=11073","layer":3},{"info":"compute unary expreesion, input=11073, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-10917, right_input=160, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-65568","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1862≥⨤⩑⫖↰⪸4424⨐⩸⫘⫖↰⪸1478⋓⫖↰⪸20B3↙((↥⫖↰⪸192B)↛⩡⫤))⇴((⫖↰⪸250B⪇≇⋚⫖↰⪸A91)⫁(⫖↰⪸1018↬⫖↰⪸2B85))⊕∕((⫖↰⪸719≓∲⫖↰⪸1408)↦)=⫖↰⪸-31B40","reverse_text":"⫖↰⪸-31B40=(⫖↰⪸1862≥⨤⩑⫖↰⪸4424⨐⩸⫘⫖↰⪸1478⋓⫖↰⪸20B3↙((↥⫖↰⪸192B)↛⩡⫤))⇴((⫖↰⪸250B⪇≇⋚⫖↰⪸A91)⫁(⫖↰⪸1018↬⫖↰⪸2B85))⊕∕((⫖↰⪸719≓∲⫖↰⪸1408)↦)","cot":[{"info":"⫖↰⪸1862≥⨤⩑⫖↰⪸4424=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1478⋓⫖↰⪸20B3=⫖↰⪸0","layer":3},{"info":"⫖↰⪸86A⨐⩸⫘⫖↰⪸0=⫖↰⪸86A","layer":2},{"info":"↥⫖↰⪸192B=⫖↰⪸42","layer":3},{"info":"⫖↰⪸42↛⩡⫤=⫖↰⪸-2133","layer":2},{"info":"⫖↰⪸86A↙⫖↰⪸-2133=⫖↰⪸-6399","layer":1},{"info":"⫖↰⪸250B⪇≇⋚⫖↰⪸A91=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1018↬⫖↰⪸2B85=NaN","layer":3},{"info":"⫖↰⪸0⫁NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸719≓∲⫖↰⪸1408=⫖↰⪸64A9","layer":3},{"info":"⫖↰⪸64A9↦=NaN","layer":2},{"info":"⫖↰⪸114⊕∕NaN=⫖↰⪸114","layer":1},{"info":"⫖↰⪸-6399⇴⫖↰⪸114=⫖↰⪸-31B40","layer":0}]}
{"id":836,"expression_no_base_symbol":"(($1044$∘$1008$⨭⪣$1630$⪡$3094$)→⨶⪴($1453$⫚↹⊑$4224$)∛$4582$⋥⋵⩄$3276$)⪃⊛⇣((($5643$⨵⪆$4317$)⫳≱↱(⪨⨬$1786$))≹⇙⪍(($9011$⩟)⊓⋫))","expression":"((⫖↰⪸730∘⫖↰⪸700⨭⪣⫖↰⪸B3A⪡⫖↰⪸195A)→⨶⪴(⫖↰⪸A11⫚↹⊑⫖↰⪸2540)∛⫖↰⪸279A⋥⋵⩄⫖↰⪸1A90)⪃⊛⇣(((⫖↰⪸3323⨵⪆⫖↰⪸25B9)⫳≱↱(⪨⨬⫖↰⪸104A))≹⇙⪍((⫖↰⪸526B⩟)⊓⋫))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1087,"operation_count":14,"complexity_ratio":77.64285714285714,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1044,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1630,"base":12},"right_expr":{"type":"numeric_atoms","value":3094,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1453,"base":12},"right_expr":{"type":"numeric_atoms","value":4224,"base":12}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4582,"base":12},"right_expr":{"type":"numeric_atoms","value":3276,"base":12}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5643,"base":12},"right_expr":{"type":"numeric_atoms","value":4317,"base":12}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1786,"base":12}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":9011,"base":12}}}}},"used_operators":["rrgAzCduG9","bF6eod5Gvf","kn8WO9XteQ","Z5m6OM72h2","oraRL2iQuh","w2537kitQq","dfKe02y8D2","7t3wd0Fuz7","AHs5Up7iyr","ZvLB05nZmT","2DQ55sFlQl","5obUd6DV38","IqGBaFP0uj","fOIeswaMU4"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8w2t5hMYqp","9FxExcQeMw","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eH2TOUuTDT","rysDP5nf3Z","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","dWAJyo7jo9","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1008, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2088","layer":3},{"info":"number node, value=1630","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=3094, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=2088, right_input=107, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=809","layer":2},{"info":"number node, value=1453","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=4224, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=4582","layer":4},{"info":"number node, value=3276","layer":4},{"info":"compute binary expreesion, left_input=4582, right_input=3276, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=113, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=809, right_input=67, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=1452","layer":1},{"info":"number node, value=5643","layer":4},{"info":"number node, value=4317","layer":4},{"info":"compute binary expreesion, left_input=5643, right_input=4317, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1786","layer":4},{"info":"compute unary expreesion, input=1786, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-526, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=9011","layer":4},{"info":"compute unary expreesion, input=9011, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-79872","layer":3},{"info":"compute unary expreesion, input=-79872, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=79744","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=79744, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1452, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸730∘⫖↰⪸700⨭⪣⫖↰⪸B3A⪡⫖↰⪸195A)→⨶⪴(⫖↰⪸A11⫚↹⊑⫖↰⪸2540)∛⫖↰⪸279A⋥⋵⩄⫖↰⪸1A90)⪃⊛⇣(((⫖↰⪸3323⨵⪆⫖↰⪸25B9)⫳≱↱(⪨⨬⫖↰⪸104A))≹⇙⪍((⫖↰⪸526B⩟)⊓⋫))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((⫖↰⪸730∘⫖↰⪸700⨭⪣⫖↰⪸B3A⪡⫖↰⪸195A)→⨶⪴(⫖↰⪸A11⫚↹⊑⫖↰⪸2540)∛⫖↰⪸279A⋥⋵⩄⫖↰⪸1A90)⪃⊛⇣(((⫖↰⪸3323⨵⪆⫖↰⪸25B9)⫳≱↱(⪨⨬⫖↰⪸104A))≹⇙⪍((⫖↰⪸526B⩟)⊓⋫))","cot":[{"info":"⫖↰⪸730∘⫖↰⪸700=⫖↰⪸1260","layer":3},{"info":"⫖↰⪸B3A⪡⫖↰⪸195A=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸1260⨭⪣⫖↰⪸8B=⫖↰⪸575","layer":2},{"info":"⫖↰⪸A11⫚↹⊑⫖↰⪸2540=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸279A⋥⋵⩄⫖↰⪸1A90=⫖↰⪸95","layer":3},{"info":"⫖↰⪸-313∛⫖↰⪸95=⫖↰⪸57","layer":2},{"info":"⫖↰⪸575→⨶⪴⫖↰⪸57=⫖↰⪸A10","layer":1},{"info":"⫖↰⪸3323⨵⪆⫖↰⪸25B9=⫖↰⪸114","layer":3},{"info":"⪨⨬⫖↰⪸104A=⫖↰⪸-37A","layer":3},{"info":"⫖↰⪸114⫳≱↱⫖↰⪸-37A=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸526B⩟=⫖↰⪸-3A280","layer":3},{"info":"⫖↰⪸-3A280⊓⋫=⫖↰⪸3A194","layer":2},{"info":"⫖↰⪸-150≹⇙⪍⫖↰⪸3A194=NaN","layer":1},{"info":"⫖↰⪸A10⪃⊛⇣NaN=⫖↰⪸86A","layer":0}]}
{"id":837,"expression_no_base_symbol":"(⇖⫷⫕($2144$↱$3685$))≎⪠(($1992$⋓$1772$)≨($6677$⫦⪉$7163$))⨔≚≋(⨩∲⋌(⊊≼∋($1859$⨼⩣$3032$)))","expression":"(⇖⫷⫕(⫖↰⪸12A8↱⫖↰⪸2171))≎⪠((⫖↰⪸11A0⋓⫖↰⪸1038)≨(⫖↰⪸3A45⫦⪉⫖↰⪸418B))⨔≚≋(⨩∲⋌(⊊≼∋(⫖↰⪸10AB⨼⩣⫖↰⪸1908)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20597,"operation_count":10,"complexity_ratio":2059.7,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2144,"base":12},"right_expr":{"type":"numeric_atoms","value":3685,"base":12}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1992,"base":12},"right_expr":{"type":"numeric_atoms","value":1772,"base":12}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6677,"base":12},"right_expr":{"type":"numeric_atoms","value":7163,"base":12}}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1859,"base":12},"right_expr":{"type":"numeric_atoms","value":3032,"base":12}}}}},"used_operators":["Z57zeUYC9z","aNhz54LH3e","UHmRx3INFg","SR5kFfdi6N","0KMCeP1Jsh","T2fj7uvVaJ","wscyQdcy20","aSik1wnThz","FWz7pXsQhA","JxwMv5le6e"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","B5M0gjZbta","jCPkEVoL5K","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2144","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=3685, 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=-10533","layer":3},{"info":"compute unary expreesion, input=-10533, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=1992","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=1772, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=6677","layer":4},{"info":"number node, value=7163","layer":4},{"info":"compute binary expreesion, left_input=6677, right_input=7163, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8454","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8454, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=2476, 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=1859","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=3032, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇖⫷⫕(⫖↰⪸12A8↱⫖↰⪸2171))≎⪠((⫖↰⪸11A0⋓⫖↰⪸1038)≨(⫖↰⪸3A45⫦⪉⫖↰⪸418B))⨔≚≋(⨩∲⋌(⊊≼∋(⫖↰⪸10AB⨼⩣⫖↰⪸1908)))=NaN","reverse_text":"NaN=(⇖⫷⫕(⫖↰⪸12A8↱⫖↰⪸2171))≎⪠((⫖↰⪸11A0⋓⫖↰⪸1038)≨(⫖↰⪸3A45⫦⪉⫖↰⪸418B))⨔≚≋(⨩∲⋌(⊊≼∋(⫖↰⪸10AB⨼⩣⫖↰⪸1908)))","cot":[{"info":"⫖↰⪸12A8↱⫖↰⪸2171=⫖↰⪸-6119","layer":3},{"info":"⇖⫷⫕⫖↰⪸-6119=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸11A0⋓⫖↰⪸1038=⫖↰⪸0","layer":3},{"info":"⫖↰⪸3A45⫦⪉⫖↰⪸418B=⫖↰⪸-4A86","layer":3},{"info":"⫖↰⪸0≨⫖↰⪸-4A86=⫖↰⪸1524","layer":2},{"info":"⫖↰⪸1772≎⪠⫖↰⪸1524=⫖↰⪸B39A","layer":1},{"info":"⫖↰⪸10AB⨼⩣⫖↰⪸1908=NaN","layer":3},{"info":"⊊≼∋NaN=NaN","layer":2},{"info":"⨩∲⋌NaN=NaN","layer":1},{"info":"⫖↰⪸B39A⨔≚≋NaN=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"((⪫⨮⊛$3064$)∠⫱(⫟$4689$))↳≱(≘(⨦⪝$1165$))⪎↠(⨛($7390$⫸⊐$1284$)⪶≀⋏($5247$∖$2615$))","expression":"((⪫⨮⊛⫖↰⪸1934)∠⫱(⫟⫖↰⪸2869))↳≱(≘(⨦⪝⫖↰⪸811))⪎↠(⨛(⫖↰⪸433A⫸⊐⫖↰⪸8B0)⪶≀⋏(⫖↰⪸3053∖⫖↰⪸161B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1851526,"operation_count":11,"complexity_ratio":168320.54545454544,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":3064,"base":12}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4689,"base":12}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1165,"base":12}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7390,"base":12},"right_expr":{"type":"numeric_atoms","value":1284,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5247,"base":12},"right_expr":{"type":"numeric_atoms","value":2615,"base":12}}}}},"used_operators":["3tVxb0NHM4","JwTKLfZU96","QvoQhV0rrE","w5FWba1tyO","z4E1FaHLuy","tcjXMdvYtA","SUjycxNXIR","CoMdbyAt7R","zR4jO40bMj","mqXw5SEYmG","tXD093vOjl"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⫖↰⪸604","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3064","layer":4},{"info":"compute unary expreesion, input=3064, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=4689","layer":4},{"info":"compute unary expreesion, input=4689, 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=-13160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13160, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=1107530","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1107530, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=7390","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=7390, right_input=1284, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5011","layer":3},{"info":"number node, value=5247","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=5247, right_input=2615, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5011, 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=-15265","layer":2},{"info":"compute unary expreesion, input=-15265, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":0}],"base":12,"result_base":12,"text":"((⪫⨮⊛⫖↰⪸1934)∠⫱(⫟⫖↰⪸2869))↳≱(≘(⨦⪝⫖↰⪸811))⪎↠(⨛(⫖↰⪸433A⫸⊐⫖↰⪸8B0)⪶≀⋏(⫖↰⪸3053∖⫖↰⪸161B))=⫖↰⪸604","reverse_text":"⫖↰⪸604=((⪫⨮⊛⫖↰⪸1934)∠⫱(⫟⫖↰⪸2869))↳≱(≘(⨦⪝⫖↰⪸811))⪎↠(⨛(⫖↰⪸433A⫸⊐⫖↰⪸8B0)⪶≀⋏(⫖↰⪸3053∖⫖↰⪸161B))","cot":[{"info":"⪫⨮⊛⫖↰⪸1934=NaN","layer":3},{"info":"⫟⫖↰⪸2869=⫖↰⪸-7748","layer":3},{"info":"NaN∠⫱⫖↰⪸-7748=NaN","layer":2},{"info":"⨦⪝⫖↰⪸811=⫖↰⪸-1110","layer":3},{"info":"≘⫖↰⪸-1110=⫖↰⪸454B22","layer":2},{"info":"NaN↳≱⫖↰⪸454B22=⫖↰⪸0","layer":1},{"info":"⫖↰⪸433A⫸⊐⫖↰⪸8B0=⫖↰⪸2A97","layer":3},{"info":"⫖↰⪸3053∖⫖↰⪸161B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2A97⪶≀⋏⫖↰⪸0=⫖↰⪸-8A01","layer":2},{"info":"⨛⫖↰⪸-8A01=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⪎↠⫖↰⪸0=⫖↰⪸604","layer":0}]}
{"id":839,"expression_no_base_symbol":"(($1026$⨔⇊$1364$⨳⩥⨓$2557$⨑⩅≇$2100$)∠↢(⫶⊄≣($2392$⩹$4968$)))≳⇉((⨑⩽⪐(⇜⊴$4726$))↫)","expression":"((⫖↰⪸716⨔⇊⫖↰⪸958⨳⩥⨓⫖↰⪸1591⨑⩅≇⫖↰⪸1270)∠↢(⫶⊄≣(⫖↰⪸1474⩹⫖↰⪸2A60)))≳⇉((⨑⩽⪐(⇜⊴⫖↰⪸289A))↫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":383831,"operation_count":10,"complexity_ratio":38383.1,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1026,"base":12},"right_expr":{"type":"numeric_atoms","value":1364,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2557,"base":12},"right_expr":{"type":"numeric_atoms","value":2100,"base":12}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2392,"base":12},"right_expr":{"type":"numeric_atoms","value":4968,"base":12}}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4726,"base":12}}}}},"used_operators":["V0kx6qeWkN","KbjG8mgYpV","nCS4ZIUYfx","JclMnS0uGI","h92wMvzauj","wxb3vTeyAj","2Wsdkap16l","uPb5QRN0te","AF7qkfDlqP","XwDhCwWbUn"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1364, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1364","layer":3},{"info":"number node, value=2557","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=2100, 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=-7671","layer":3},{"info":"compute binary expreesion, left_input=1364, right_input=-7671, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9035","layer":2},{"info":"number node, value=2392","layer":4},{"info":"number node, value=4968","layer":4},{"info":"compute binary expreesion, left_input=2392, right_input=4968, 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=4966","layer":3},{"info":"compute unary expreesion, input=4966, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=443986885","layer":2},{"info":"compute binary expreesion, left_input=-9035, right_input=443986885, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-inf","layer":1},{"info":"number node, value=4726","layer":4},{"info":"compute unary expreesion, input=4726, 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=-1101622","layer":3},{"info":"compute unary expreesion, input=-1101622, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=2204033","layer":2},{"info":"compute unary expreesion, input=2204033, 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=-inf, right_input=160, 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":12,"result_base":12,"text":"((⫖↰⪸716⨔⇊⫖↰⪸958⨳⩥⨓⫖↰⪸1591⨑⩅≇⫖↰⪸1270)∠↢(⫶⊄≣(⫖↰⪸1474⩹⫖↰⪸2A60)))≳⇉((⨑⩽⪐(⇜⊴⫖↰⪸289A))↫)=NaN","reverse_text":"NaN=((⫖↰⪸716⨔⇊⫖↰⪸958⨳⩥⨓⫖↰⪸1591⨑⩅≇⫖↰⪸1270)∠↢(⫶⊄≣(⫖↰⪸1474⩹⫖↰⪸2A60)))≳⇉((⨑⩽⪐(⇜⊴⫖↰⪸289A))↫)","cot":[{"info":"⫖↰⪸716⨔⇊⫖↰⪸958=⫖↰⪸958","layer":3},{"info":"⫖↰⪸1591⨑⩅≇⫖↰⪸1270=⫖↰⪸-4533","layer":3},{"info":"⫖↰⪸958⨳⩥⨓⫖↰⪸-4533=⫖↰⪸-528B","layer":2},{"info":"⫖↰⪸1474⩹⫖↰⪸2A60=⫖↰⪸2A5A","layer":3},{"info":"⫶⊄≣⫖↰⪸2A5A=⫖↰⪸104834A31","layer":2},{"info":"⫖↰⪸-528B∠↢⫖↰⪸104834A31=-Inf","layer":1},{"info":"⇜⊴⫖↰⪸289A=⫖↰⪸-45161A","layer":3},{"info":"⨑⩽⪐⫖↰⪸-45161A=⫖↰⪸8A3595","layer":2},{"info":"⫖↰⪸8A3595↫=⫖↰⪸114","layer":1},{"info":"-Inf≳⇉⫖↰⪸114=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"⇜⊴(⊀(↸⊣$2953$)∌($2916$⋭≵$2237$))","expression":"⇜⊴(⊀(↸⊣⫖↰⪸1861)∌(⫖↰⪸1830⋭≵⫖↰⪸1365))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":172,"operation_count":5,"complexity_ratio":34.4,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2953,"base":12}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2916,"base":12},"right_expr":{"type":"numeric_atoms","value":2237,"base":12}}}}},"used_operators":["XwDhCwWbUn","oPMjh9089D","8cLx32lpNA","wztAlM01eG","jBncVCNhdl"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⫖↰⪸-3274722","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2953","layer":4},{"info":"compute unary expreesion, input=2953, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2666","layer":3},{"info":"number node, value=2916","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=2237, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-2666, right_input=67, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2666","layer":2},{"info":"compute unary expreesion, input=-2666, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=40773","layer":1},{"info":"compute unary expreesion, input=40773, 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=-9608714","layer":0}],"base":12,"result_base":12,"text":"⇜⊴(⊀(↸⊣⫖↰⪸1861)∌(⫖↰⪸1830⋭≵⫖↰⪸1365))=⫖↰⪸-3274722","reverse_text":"⫖↰⪸-3274722=⇜⊴(⊀(↸⊣⫖↰⪸1861)∌(⫖↰⪸1830⋭≵⫖↰⪸1365))","cot":[{"info":"↸⊣⫖↰⪸1861=⫖↰⪸-1662","layer":3},{"info":"⫖↰⪸1830⋭≵⫖↰⪸1365=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-1662∌⫖↰⪸57=⫖↰⪸-1662","layer":2},{"info":"⊀⫖↰⪸-1662=⫖↰⪸1B719","layer":1},{"info":"⇜⊴⫖↰⪸1B719=⫖↰⪸-3274722","layer":0}]}
{"id":841,"expression_no_base_symbol":"($3188$⪨≂$6247$⫚↹⊑(⪝⪂⫅$1225$))≥⨤⩑$2211$↞⋁$8846$⨚⇆$1331$⨂≜$3987$⨐⩸⫘$5013$⇣⩺⋵$2571$≧⫂∧($2975$≬⇓$5393$)⋝⋈⪟(↩⪖($8959$⫔⩽⩺$1943$))","expression":"(⫖↰⪸1A18⪨≂⫖↰⪸3747⫚↹⊑(⪝⪂⫅⫖↰⪸861))≥⨤⩑⫖↰⪸1343↞⋁⫖↰⪸5152⨚⇆⫖↰⪸92B⨂≜⫖↰⪸2383⨐⩸⫘⫖↰⪸2A99⇣⩺⋵⫖↰⪸15A3≧⫂∧(⫖↰⪸187B≬⇓⫖↰⪸3155)⋝⋈⪟(↩⪖(⫖↰⪸5227⫔⩽⩺⫖↰⪸115B))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2024,"operation_count":14,"complexity_ratio":144.57142857142858,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3188,"base":12},"right_expr":{"type":"numeric_atoms","value":6247,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1225,"base":12}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2211,"base":12},"right_expr":{"type":"numeric_atoms","value":8846,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1331,"base":12},"right_expr":{"type":"numeric_atoms","value":3987,"base":12}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5013,"base":12},"right_expr":{"type":"numeric_atoms","value":2571,"base":12}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2975,"base":12},"right_expr":{"type":"numeric_atoms","value":5393,"base":12}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8959,"base":12},"right_expr":{"type":"numeric_atoms","value":1943,"base":12}}}}},"used_operators":["fu6greOZ01","gJLn6v0xnP","dfKe02y8D2","sdazOOVcIp","XTarYq4gQB","lwHaAYXP2r","RqrPlJkxDo","k1SHOSEABc","2DDjHMKMc0","Ph9nP6C5qx","F4yD0voBRQ","jWTQ2TZYIH","fG6uBQFnGz","i9eR4S00cU"],"dependent_operators":["3ViojmjbAp","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3188","layer":4},{"info":"number node, value=6247","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=6247, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6016","layer":3},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-180075","layer":3},{"info":"compute binary expreesion, left_input=-6016, right_input=-180075, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2211","layer":4},{"info":"number node, value=8846","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=8846, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=3987, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=5013","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=5013, right_input=2571, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2975","layer":4},{"info":"number node, value=5393","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=5393, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-22, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-495","layer":2},{"info":"number node, value=8959","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=8959, right_input=1943, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-495, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A18⪨≂⫖↰⪸3747⫚↹⊑(⪝⪂⫅⫖↰⪸861))≥⨤⩑⫖↰⪸1343↞⋁⫖↰⪸5152⨚⇆⫖↰⪸92B⨂≜⫖↰⪸2383⨐⩸⫘⫖↰⪸2A99⇣⩺⋵⫖↰⪸15A3≧⫂∧(⫖↰⪸187B≬⇓⫖↰⪸3155)⋝⋈⪟(↩⪖(⫖↰⪸5227⫔⩽⩺⫖↰⪸115B))=NaN","reverse_text":"NaN=(⫖↰⪸1A18⪨≂⫖↰⪸3747⫚↹⊑(⪝⪂⫅⫖↰⪸861))≥⨤⩑⫖↰⪸1343↞⋁⫖↰⪸5152⨚⇆⫖↰⪸92B⨂≜⫖↰⪸2383⨐⩸⫘⫖↰⪸2A99⇣⩺⋵⫖↰⪸15A3≧⫂∧(⫖↰⪸187B≬⇓⫖↰⪸3155)⋝⋈⪟(↩⪖(⫖↰⪸5227⫔⩽⩺⫖↰⪸115B))","cot":[{"info":"⫖↰⪸1A18⪨≂⫖↰⪸3747=⫖↰⪸-3594","layer":3},{"info":"⪝⪂⫅⫖↰⪸861=⫖↰⪸-88263","layer":3},{"info":"⫖↰⪸-3594⫚↹⊑⫖↰⪸-88263=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸1343↞⋁⫖↰⪸5152=NaN","layer":3},{"info":"⫖↰⪸92B⨂≜⫖↰⪸2383=NaN","layer":3},{"info":"NaN⨚⇆NaN=NaN","layer":2},{"info":"⫖↰⪸-313≥⨤⩑NaN=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸2A99⇣⩺⋵⫖↰⪸15A3=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸187B≬⇓⫖↰⪸3155=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸-198≧⫂∧⫖↰⪸-1A=⫖↰⪸-353","layer":2},{"info":"⫖↰⪸5227⫔⩽⩺⫖↰⪸115B=NaN","layer":3},{"info":"↩⪖NaN=NaN","layer":2},{"info":"⫖↰⪸-353⋝⋈⪟NaN=NaN","layer":1},{"info":"⫖↰⪸86A⨐⩸⫘NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"⨝⨆((⩒∊$2710$)⊢($3409$∙∹∝$4146$))⪟⇏($3073$⋹⋡⊁$2971$⪪($3210$⋥≓≎$2337$))","expression":"⨝⨆((⩒∊⫖↰⪸169A)⊢(⫖↰⪸1B81∙∹∝⫖↰⪸2496))⪟⇏(⫖↰⪸1941⋹⋡⊁⫖↰⪸1877⪪(⫖↰⪸1A36⋥≓≎⫖↰⪸1429))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":73907,"operation_count":8,"complexity_ratio":9238.375,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2710,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3409,"base":12},"right_expr":{"type":"numeric_atoms","value":4146,"base":12}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3073,"base":12},"right_expr":{"type":"numeric_atoms","value":2971,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3210,"base":12},"right_expr":{"type":"numeric_atoms","value":2337,"base":12}}}}},"used_operators":["bQ67fsrMVf","GODebY97qR","5twsqlHp2o","qazvmhNBbN","HmxsFra2vL","xD69zh8xqp","As8RqfVLgs","Qy55tPpLXF"],"dependent_operators":["tifHPKVTfV","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-155","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4663","layer":3},{"info":"number node, value=3409","layer":4},{"info":"number node, value=4146","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=4146, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4663, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9570","layer":2},{"info":"number node, value=3073","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=3073, right_input=2971, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3721","layer":3},{"info":"number node, value=3210","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=2337, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1497","layer":3},{"info":"compute binary expreesion, left_input=3721, right_input=1497, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-557960","layer":2},{"info":"compute binary expreesion, left_input=-9570, right_input=-557960, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-209","layer":0}],"base":12,"result_base":12,"text":"⨝⨆((⩒∊⫖↰⪸169A)⊢(⫖↰⪸1B81∙∹∝⫖↰⪸2496))⪟⇏(⫖↰⪸1941⋹⋡⊁⫖↰⪸1877⪪(⫖↰⪸1A36⋥≓≎⫖↰⪸1429))=⫖↰⪸-155","reverse_text":"⫖↰⪸-155=⨝⨆((⩒∊⫖↰⪸169A)⊢(⫖↰⪸1B81∙∹∝⫖↰⪸2496))⪟⇏(⫖↰⪸1941⋹⋡⊁⫖↰⪸1877⪪(⫖↰⪸1A36⋥≓≎⫖↰⪸1429))","cot":[{"info":"⩒∊⫖↰⪸169A=⫖↰⪸2847","layer":3},{"info":"⫖↰⪸1B81∙∹∝⫖↰⪸2496=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2847⊢⫖↰⪸0=⫖↰⪸-5656","layer":2},{"info":"⫖↰⪸1941⋹⋡⊁⫖↰⪸1877=⫖↰⪸21A1","layer":3},{"info":"⫖↰⪸1A36⋥≓≎⫖↰⪸1429=⫖↰⪸A49","layer":3},{"info":"⫖↰⪸21A1⪪⫖↰⪸A49=⫖↰⪸-22AA88","layer":2},{"info":"⫖↰⪸-5656⪟⇏⫖↰⪸-22AA88=⫖↰⪸0","layer":1},{"info":"⨝⨆⫖↰⪸0=⫖↰⪸-155","layer":0}]}
{"id":843,"expression_no_base_symbol":"(((⊿$2795$)*($2515$⫔⩽⩺$3777$))∀⊥⇻)⪄($2705$⪮%⊝$2748$)≴⪞⇿($2277$⨹)⪘⫢(↪⫪⫘(⊖∈$7053$))","expression":"(((⊿⫖↰⪸174B)*(⫖↰⪸1557⫔⩽⩺⫖↰⪸2229))∀⊥⇻)⪄(⫖↰⪸1695⪮%⊝⫖↰⪸1710)≴⪞⇿(⫖↰⪸1399⨹)⪘⫢(↪⫪⫘(⊖∈⫖↰⪸40B9))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14221,"operation_count":11,"complexity_ratio":1292.8181818181818,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2795,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2515,"base":12},"right_expr":{"type":"numeric_atoms","value":3777,"base":12}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2705,"base":12},"right_expr":{"type":"numeric_atoms","value":2748,"base":12}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2277,"base":12}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":7053,"base":12}}}}},"used_operators":["SUmda5xLS4","k4iM1060OG","9HNa5Wba9A","DO4fhlbJSI","i9eR4S00cU","oacrs7FA3X","lvlrscuwVU","IWmyXbctLI","UnCoSGIALn","9dWsAM3GFt","YFxL8Sc2Zy"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","W4YGzv6Whe","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","Tw270M8GLb","fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","mp7IySMOzn","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⫖↰⪸2377","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2795","layer":4},{"info":"compute unary expreesion, input=2795, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-11918","layer":3},{"info":"number node, value=2515","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=3777, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11918, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":1},{"info":"number node, value=2705","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=2748, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5726","layer":3},{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=4554","layer":3},{"info":"compute binary expreesion, left_input=5726, right_input=4554, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=59470652","layer":2},{"info":"number node, value=7053","layer":4},{"info":"compute unary expreesion, input=7053, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=135466","layer":3},{"info":"compute unary expreesion, input=135466, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=59470652, right_input=20, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=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":12,"result_base":12,"text":"(((⊿⫖↰⪸174B)*(⫖↰⪸1557⫔⩽⩺⫖↰⪸2229))∀⊥⇻)⪄(⫖↰⪸1695⪮%⊝⫖↰⪸1710)≴⪞⇿(⫖↰⪸1399⨹)⪘⫢(↪⫪⫘(⊖∈⫖↰⪸40B9))=⫖↰⪸2377","reverse_text":"⫖↰⪸2377=(((⊿⫖↰⪸174B)*(⫖↰⪸1557⫔⩽⩺⫖↰⪸2229))∀⊥⇻)⪄(⫖↰⪸1695⪮%⊝⫖↰⪸1710)≴⪞⇿(⫖↰⪸1399⨹)⪘⫢(↪⫪⫘(⊖∈⫖↰⪸40B9))","cot":[{"info":"⊿⫖↰⪸174B=⫖↰⪸-6A92","layer":3},{"info":"⫖↰⪸1557⫔⩽⩺⫖↰⪸2229=NaN","layer":3},{"info":"⫖↰⪸-6A92*NaN=NaN","layer":2},{"info":"NaN∀⊥⇻=NaN","layer":1},{"info":"⫖↰⪸1695⪮%⊝⫖↰⪸1710=⫖↰⪸3392","layer":3},{"info":"⫖↰⪸1399⨹=⫖↰⪸2776","layer":3},{"info":"⫖↰⪸3392≴⪞⇿⫖↰⪸2776=⫖↰⪸17ABBA78","layer":2},{"info":"⊖∈⫖↰⪸40B9=⫖↰⪸6648A","layer":3},{"info":"↪⫪⫘⫖↰⪸6648A=⫖↰⪸18","layer":2},{"info":"⫖↰⪸17ABBA78⪘⫢⫖↰⪸18=⫖↰⪸0","layer":1},{"info":"NaN⪄⫖↰⪸0=⫖↰⪸2377","layer":0}]}
{"id":844,"expression_no_base_symbol":"(($6394$⩁⩘$2883$∠↢$2679$≒∊$2313$)⋓(($1039$+$2530$)∸))⨫⇇↔((⇁⨣⪵$2054$)↸($2873$⫌⩉⩟$5419$))⨟⋌⩍((⋂$1989$)⊅)","expression":"((⫖↰⪸384A⩁⩘⫖↰⪸1803∠↢⫖↰⪸1673≒∊⫖↰⪸1409)⋓((⫖↰⪸727+⫖↰⪸156A)∸))⨫⇇↔((⇁⨣⪵⫖↰⪸1232)↸(⫖↰⪸17B5⫌⩉⩟⫖↰⪸3177))⨟⋌⩍((⋂⫖↰⪸1199)⊅)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27718,"operation_count":13,"complexity_ratio":2132.153846153846,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6394,"base":12},"right_expr":{"type":"numeric_atoms","value":2883,"base":12}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2679,"base":12},"right_expr":{"type":"numeric_atoms","value":2313,"base":12}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1039,"base":12},"right_expr":{"type":"numeric_atoms","value":2530,"base":12}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2054,"base":12}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2873,"base":12},"right_expr":{"type":"numeric_atoms","value":5419,"base":12}}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1989,"base":12}}}}},"used_operators":["LXhwmt4mBO","T2fj7uvVaJ","KbjG8mgYpV","gub5Cegaqo","5KTvxBwnZo","o20kRiQErp","W4YGzv6Whe","rGHVDoGpnC","1eCjFl0mb9","inkyxCbjAn","XIIwhv8d0m","7p6YLioM7f","BUOGQAYlQx"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","DpFCA1CohY","IWmyXbctLI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","tmPS8pqC7x","Tcnh7f0tEr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⫖↰⪸-37B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6394","layer":4},{"info":"number node, value=2883","layer":4},{"info":"compute binary expreesion, left_input=6394, right_input=2883, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12480","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=2313, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2195","layer":3},{"info":"compute binary expreesion, left_input=12480, right_input=-2195, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-18108","layer":2},{"info":"number node, value=1039","layer":4},{"info":"number node, value=2530","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2530, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3569","layer":3},{"info":"compute unary expreesion, input=3569, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-18108, right_input=177, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=2054","layer":4},{"info":"compute unary expreesion, input=2054, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=5419","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=5419, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"number node, value=1989","layer":4},{"info":"compute unary expreesion, input=1989, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-27250","layer":3},{"info":"compute unary expreesion, input=-27250, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16947, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸384A⩁⩘⫖↰⪸1803∠↢⫖↰⪸1673≒∊⫖↰⪸1409)⋓((⫖↰⪸727+⫖↰⪸156A)∸))⨫⇇↔((⇁⨣⪵⫖↰⪸1232)↸(⫖↰⪸17B5⫌⩉⩟⫖↰⪸3177))⨟⋌⩍((⋂⫖↰⪸1199)⊅)=⫖↰⪸-37B","reverse_text":"⫖↰⪸-37B=((⫖↰⪸384A⩁⩘⫖↰⪸1803∠↢⫖↰⪸1673≒∊⫖↰⪸1409)⋓((⫖↰⪸727+⫖↰⪸156A)∸))⨫⇇↔((⇁⨣⪵⫖↰⪸1232)↸(⫖↰⪸17B5⫌⩉⩟⫖↰⪸3177))⨟⋌⩍((⋂⫖↰⪸1199)⊅)","cot":[{"info":"⫖↰⪸384A⩁⩘⫖↰⪸1803=⫖↰⪸7280","layer":3},{"info":"⫖↰⪸1673≒∊⫖↰⪸1409=⫖↰⪸-132B","layer":3},{"info":"⫖↰⪸7280∠↢⫖↰⪸-132B=⫖↰⪸-A590","layer":2},{"info":"⫖↰⪸727+⫖↰⪸156A=⫖↰⪸2095","layer":3},{"info":"⫖↰⪸2095∸=⫖↰⪸129","layer":2},{"info":"⫖↰⪸-A590⋓⫖↰⪸129=⫖↰⪸0","layer":1},{"info":"⇁⨣⪵⫖↰⪸1232=NaN","layer":3},{"info":"⫖↰⪸17B5⫌⩉⩟⫖↰⪸3177=⫖↰⪸-42","layer":3},{"info":"NaN↸⫖↰⪸-42=NaN","layer":2},{"info":"⋂⫖↰⪸1199=⫖↰⪸-1392A","layer":3},{"info":"⫖↰⪸-1392A⊅=⫖↰⪸9983","layer":2},{"info":"NaN⨟⋌⩍⫖↰⪸9983=NaN","layer":1},{"info":"⫖↰⪸0⨫⇇↔NaN=⫖↰⪸-37B","layer":0}]}
{"id":845,"expression_no_base_symbol":"(($7250$⊲⩕⊾$4302$)⫯⪬∳($7110$∌↝$5732$)⋘⨑⨽)⊭↱($4088$∣$3376$⪛⫼$3718$⋥≓≎$1910$)⨼⩣(($1334$+$2701$)≓∲$8628$⨻⩈⩔$3008$)","expression":"((⫖↰⪸4242⊲⩕⊾⫖↰⪸25A6)⫯⪬∳(⫖↰⪸4146∌↝⫖↰⪸3398)⋘⨑⨽)⊭↱(⫖↰⪸2448∣⫖↰⪸1B54⪛⫼⫖↰⪸219A⋥≓≎⫖↰⪸1132)⨼⩣((⫖↰⪸932+⫖↰⪸1691)≓∲⫖↰⪸4BB0⨻⩈⩔⫖↰⪸18A8)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":766,"operation_count":12,"complexity_ratio":63.833333333333336,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":7250,"base":12},"right_expr":{"type":"numeric_atoms","value":4302,"base":12}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":7110,"base":12},"right_expr":{"type":"numeric_atoms","value":5732,"base":12}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4088,"base":12},"right_expr":{"type":"numeric_atoms","value":3376,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3718,"base":12},"right_expr":{"type":"numeric_atoms","value":1910,"base":12}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1334,"base":12},"right_expr":{"type":"numeric_atoms","value":2701,"base":12}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":8628,"base":12},"right_expr":{"type":"numeric_atoms","value":3008,"base":12}}}}},"used_operators":["COABgblf1C","WmT3o8z6ya","d7ASUq0ydm","DmTXOeWf9t","9Isq31Ruls","JxwMv5le6e","hyuBjUqXlG","PPChnnnBFF","Qy55tPpLXF","s1XTVnmDOJ","W4YGzv6Whe","nEsXyWgiOK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7250","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=7250, right_input=4302, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-155650","layer":3},{"info":"number node, value=7110","layer":4},{"info":"number node, value=5732","layer":4},{"info":"compute binary expreesion, left_input=7110, right_input=5732, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-155650, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=466477","layer":2},{"info":"compute unary expreesion, input=466477, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=2333168","layer":1},{"info":"number node, value=4088","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=3376, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4088","layer":3},{"info":"number node, value=3718","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=3718, right_input=1910, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=135","layer":3},{"info":"compute binary expreesion, left_input=4088, right_input=135, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=1334","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=2701, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4035","layer":3},{"info":"number node, value=8628","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=8628, right_input=3008, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=60623","layer":3},{"info":"compute binary expreesion, left_input=4035, right_input=60623, 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=41133","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=41133, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2333168, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸4242⊲⩕⊾⫖↰⪸25A6)⫯⪬∳(⫖↰⪸4146∌↝⫖↰⪸3398)⋘⨑⨽)⊭↱(⫖↰⪸2448∣⫖↰⪸1B54⪛⫼⫖↰⪸219A⋥≓≎⫖↰⪸1132)⨼⩣((⫖↰⪸932+⫖↰⪸1691)≓∲⫖↰⪸4BB0⨻⩈⩔⫖↰⪸18A8)=NaN","reverse_text":"NaN=((⫖↰⪸4242⊲⩕⊾⫖↰⪸25A6)⫯⪬∳(⫖↰⪸4146∌↝⫖↰⪸3398)⋘⨑⨽)⊭↱(⫖↰⪸2448∣⫖↰⪸1B54⪛⫼⫖↰⪸219A⋥≓≎⫖↰⪸1132)⨼⩣((⫖↰⪸932+⫖↰⪸1691)≓∲⫖↰⪸4BB0⨻⩈⩔⫖↰⪸18A8)","cot":[{"info":"⫖↰⪸4242⊲⩕⊾⫖↰⪸25A6=⫖↰⪸-760AA","layer":3},{"info":"⫖↰⪸4146∌↝⫖↰⪸3398=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-760AA⫯⪬∳⫖↰⪸0=⫖↰⪸1A5B51","layer":2},{"info":"⫖↰⪸1A5B51⋘⨑⨽=⫖↰⪸946268","layer":1},{"info":"⫖↰⪸2448∣⫖↰⪸1B54=⫖↰⪸2448","layer":3},{"info":"⫖↰⪸219A⋥≓≎⫖↰⪸1132=⫖↰⪸B3","layer":3},{"info":"⫖↰⪸2448⪛⫼⫖↰⪸B3=⫖↰⪸688","layer":2},{"info":"⫖↰⪸932+⫖↰⪸1691=⫖↰⪸2403","layer":3},{"info":"⫖↰⪸4BB0⨻⩈⩔⫖↰⪸18A8=⫖↰⪸2B0BB","layer":3},{"info":"⫖↰⪸2403≓∲⫖↰⪸2B0BB=⫖↰⪸1B979","layer":2},{"info":"⫖↰⪸688⨼⩣⫖↰⪸1B979=NaN","layer":1},{"info":"⫖↰⪸946268⊭↱NaN=NaN","layer":0}]}
{"id":846,"expression_no_base_symbol":"($6159$⊿∆)⨽∌($7465$⫃⨇$2285$)⋥⋵⩄(⇁⨣⪵$2230$)⨜⨶($1742$∷$1081$)⫚↹⊑($1625$⇤$2403$⫲)∌($4445$∀⇚≩$1677$)⨔⇊$3025$∴$2340$","expression":"(⫖↰⪸3693⊿∆)⨽∌(⫖↰⪸43A1⫃⨇⫖↰⪸13A5)⋥⋵⩄(⇁⨣⪵⫖↰⪸135A)⨜⨶(⫖↰⪸1012∷⫖↰⪸761)⫚↹⊑(⫖↰⪸B35⇤⫖↰⪸1483⫲)∌(⫖↰⪸26A5∀⇚≩⫖↰⪸B79)⨔⇊⫖↰⪸1901∴⫖↰⪸1430","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":31375,"operation_count":14,"complexity_ratio":2241.0714285714284,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":6159,"base":12}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7465,"base":12},"right_expr":{"type":"numeric_atoms","value":2285,"base":12}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2230,"base":12}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1742,"base":12},"right_expr":{"type":"numeric_atoms","value":1081,"base":12}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1625,"base":12},"right_expr":{"type":"numeric_atoms","value":2403,"base":12}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4445,"base":12},"right_expr":{"type":"numeric_atoms","value":1677,"base":12}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3025,"base":12},"right_expr":{"type":"numeric_atoms","value":2340,"base":12}}}}},"used_operators":["dfKe02y8D2","7t3wd0Fuz7","9samAPKr6k","fv3ZujxkQL","09Ly4LVMIf","HiPekx5b7W","inkyxCbjAn","D3AQDKkPcf","8cLx32lpNA","9xnGDUPbC6","YSKBFp38Pu","JclMnS0uGI","LRNGc0VcxI","hrf7POJlIJ"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","9FxExcQeMw","NTOWxs364D","7j4O788W3g","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","X99M06cbEe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6159","layer":4},{"info":"compute unary expreesion, input=6159, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-12439","layer":3},{"info":"number node, value=7465","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=7465, right_input=2285, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9172","layer":3},{"info":"compute binary expreesion, left_input=-12439, right_input=-9172, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=2230","layer":4},{"info":"compute unary expreesion, input=2230, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1081, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1081","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1081, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"number node, value=1625","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=2403, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-17292","layer":3},{"info":"compute unary expreesion, input=-17292, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=34463","layer":2},{"info":"number node, value=4445","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=1677, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3025","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=2340, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7698","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7698, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=7698","layer":2},{"info":"compute binary expreesion, left_input=34463, right_input=7698, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-7698","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7698, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3693⊿∆)⨽∌(⫖↰⪸43A1⫃⨇⫖↰⪸13A5)⋥⋵⩄(⇁⨣⪵⫖↰⪸135A)⨜⨶(⫖↰⪸1012∷⫖↰⪸761)⫚↹⊑(⫖↰⪸B35⇤⫖↰⪸1483⫲)∌(⫖↰⪸26A5∀⇚≩⫖↰⪸B79)⨔⇊⫖↰⪸1901∴⫖↰⪸1430=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=(⫖↰⪸3693⊿∆)⨽∌(⫖↰⪸43A1⫃⨇⫖↰⪸13A5)⋥⋵⩄(⇁⨣⪵⫖↰⪸135A)⨜⨶(⫖↰⪸1012∷⫖↰⪸761)⫚↹⊑(⫖↰⪸B35⇤⫖↰⪸1483⫲)∌(⫖↰⪸26A5∀⇚≩⫖↰⪸B79)⨔⇊⫖↰⪸1901∴⫖↰⪸1430","cot":[{"info":"⫖↰⪸3693⊿∆=⫖↰⪸-7247","layer":3},{"info":"⫖↰⪸43A1⫃⨇⫖↰⪸13A5=⫖↰⪸-5384","layer":3},{"info":"⫖↰⪸-7247⨽∌⫖↰⪸-5384=⫖↰⪸0","layer":2},{"info":"⇁⨣⪵⫖↰⪸135A=NaN","layer":3},{"info":"⫖↰⪸1012∷⫖↰⪸761=⫖↰⪸761","layer":3},{"info":"NaN⨜⨶⫖↰⪸761=NaN","layer":2},{"info":"⫖↰⪸0⋥⋵⩄NaN=NaN","layer":1},{"info":"⫖↰⪸B35⇤⫖↰⪸1483=⫖↰⪸-A010","layer":3},{"info":"⫖↰⪸-A010⫲=⫖↰⪸17B3B","layer":2},{"info":"⫖↰⪸26A5∀⇚≩⫖↰⪸B79=NaN","layer":3},{"info":"⫖↰⪸1901∴⫖↰⪸1430=⫖↰⪸4556","layer":3},{"info":"NaN⨔⇊⫖↰⪸4556=⫖↰⪸4556","layer":2},{"info":"⫖↰⪸17B3B∌⫖↰⪸4556=⫖↰⪸-4556","layer":1},{"info":"NaN⫚↹⊑⫖↰⪸-4556=⫖↰⪸-313","layer":0}]}
{"id":847,"expression_no_base_symbol":"((⫵↿$3741$)⨿($1375$-$1462$)⋓(⫯($3789$⩘⨬⇊)))⪛(($1216$⪷)⇄$1504$⨐$1105$⪭≯($2354$↺$2076$)⫗⊷⫓($2686$⫔⩽⩺$3323$))","expression":"((⫵↿⫖↰⪸21B9)⨿(⫖↰⪸967-⫖↰⪸A1A)⋓(⫯(⫖↰⪸2239⩘⨬⇊)))⪛((⫖↰⪸854⪷)⇄⫖↰⪸A54⨐⫖↰⪸781⪭≯(⫖↰⪸1442↺⫖↰⪸1250)⫗⊷⫓(⫖↰⪸167A⫔⩽⩺⫖↰⪸1B0B))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5395,"operation_count":14,"complexity_ratio":385.35714285714283,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":3741,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1375,"base":12},"right_expr":{"type":"numeric_atoms","value":1462,"base":12}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3789,"base":12}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1216,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1504,"base":12},"right_expr":{"type":"numeric_atoms","value":1105,"base":12}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2354,"base":12},"right_expr":{"type":"numeric_atoms","value":2076,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2686,"base":12},"right_expr":{"type":"numeric_atoms","value":3323,"base":12}}}}},"used_operators":["uFcxV4UQCh","T2fj7uvVaJ","abYXlopdE0","ivGwdmUAux","rysDP5nf3Z","H6BK1Evt7c","XXmTpEpWTW","XAx5wpdLa6","3EYGwJThht","Qctrpi3WzA","Noe24qw2ks","zashukvMKz","7j4O788W3g","i9eR4S00cU"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Nsiff2A1zJ","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3741","layer":4},{"info":"compute unary expreesion, input=3741, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=1375","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1462, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-87","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-87, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"number node, value=3789","layer":4},{"info":"compute unary expreesion, input=3789, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=121, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=1504","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1105, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3008","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3008, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"number node, value=2354","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=2076, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2076","layer":3},{"info":"number node, value=2686","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=3323, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2076, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫵↿⫖↰⪸21B9)⨿(⫖↰⪸967-⫖↰⪸A1A)⋓(⫯(⫖↰⪸2239⩘⨬⇊)))⪛((⫖↰⪸854⪷)⇄⫖↰⪸A54⨐⫖↰⪸781⪭≯(⫖↰⪸1442↺⫖↰⪸1250)⫗⊷⫓(⫖↰⪸167A⫔⩽⩺⫖↰⪸1B0B))=NaN","reverse_text":"NaN=((⫵↿⫖↰⪸21B9)⨿(⫖↰⪸967-⫖↰⪸A1A)⋓(⫯(⫖↰⪸2239⩘⨬⇊)))⪛((⫖↰⪸854⪷)⇄⫖↰⪸A54⨐⫖↰⪸781⪭≯(⫖↰⪸1442↺⫖↰⪸1250)⫗⊷⫓(⫖↰⪸167A⫔⩽⩺⫖↰⪸1B0B))","cot":[{"info":"⫵↿⫖↰⪸21B9=⫖↰⪸B5","layer":3},{"info":"⫖↰⪸967-⫖↰⪸A1A=⫖↰⪸-73","layer":3},{"info":"⫖↰⪸B5⨿⫖↰⪸-73=⫖↰⪸A1","layer":2},{"info":"⫖↰⪸2239⩘⨬⇊=NaN","layer":3},{"info":"⫯NaN=NaN","layer":2},{"info":"⫖↰⪸A1⋓NaN=NaN","layer":1},{"info":"⫖↰⪸854⪷=NaN","layer":3},{"info":"⫖↰⪸A54⨐⫖↰⪸781=⫖↰⪸-18A8","layer":3},{"info":"NaN⇄⫖↰⪸-18A8=NaN","layer":2},{"info":"⫖↰⪸1442↺⫖↰⪸1250=⫖↰⪸1250","layer":3},{"info":"⫖↰⪸167A⫔⩽⩺⫖↰⪸1B0B=NaN","layer":3},{"info":"⫖↰⪸1250⫗⊷⫓NaN=⫖↰⪸-B2","layer":2},{"info":"NaN⪭≯⫖↰⪸-B2=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"(($1344$∌$2099$⫌⩉⩟(⩦⊞$2244$))⨎($3984$⪔⊥$2327$⨐⩸⫘($6576$%$5376$)))⪬(($1392$∀⊥⇻)⋛($2163$⪉⨛$7627$)⪨⊡$3024$⩦$3266$⨫⇇↔($4948$⨪↰⇹$1567$))","expression":"((⫖↰⪸940∌⫖↰⪸126B⫌⩉⩟(⩦⊞⫖↰⪸1370))⨎(⫖↰⪸2380⪔⊥⫖↰⪸141B⨐⩸⫘(⫖↰⪸3980%⫖↰⪸3140)))⪬((⫖↰⪸980∀⊥⇻)⋛(⫖↰⪸1303⪉⨛⫖↰⪸44B7)⪨⊡⫖↰⪸1900⩦⫖↰⪸1A82⨫⇇↔(⫖↰⪸2A44⨪↰⇹⫖↰⪸AA7))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":22302,"operation_count":15,"complexity_ratio":1486.8,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1344,"base":12},"right_expr":{"type":"numeric_atoms","value":2099,"base":12}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2244,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3984,"base":12},"right_expr":{"type":"numeric_atoms","value":2327,"base":12}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6576,"base":12},"right_expr":{"type":"numeric_atoms","value":5376,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1392,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2163,"base":12},"right_expr":{"type":"numeric_atoms","value":7627,"base":12}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3024,"base":12},"right_expr":{"type":"numeric_atoms","value":3266,"base":12}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4948,"base":12},"right_expr":{"type":"numeric_atoms","value":1567,"base":12}}}}},"used_operators":["Ez1Nq5fNfI","rJVOvQCfKK","XIIwhv8d0m","8cLx32lpNA","u7fv1HBiaC","fu6greOZ01","HJ9erzHUuu","k8jYdgA6NY","kuIXHzHcAH","YbUVn0Rbpy","k4iM1060OG","EWw2JM7wp4","LXhwmt4mBO","0kmYd0q39Y","tmPS8pqC7x"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","3ViojmjbAp","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rJVOvQCfKK"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1344","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=2099, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2099","layer":3},{"info":"number node, value=2244","layer":4},{"info":"compute unary expreesion, input=2244, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1971","layer":3},{"info":"compute binary expreesion, left_input=-2099, right_input=-1971, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=3984","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=3984, right_input=2327, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=11083","layer":3},{"info":"number node, value=6576","layer":4},{"info":"number node, value=5376","layer":4},{"info":"compute binary expreesion, left_input=6576, right_input=5376, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1200","layer":3},{"info":"compute binary expreesion, left_input=11083, right_input=1200, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=2163","layer":4},{"info":"number node, value=7627","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=7627, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-923","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-923, 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=-2124","layer":2},{"info":"number node, value=3024","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=3266, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6048","layer":3},{"info":"number node, value=4948","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=4948, right_input=1567, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4948","layer":3},{"info":"compute binary expreesion, left_input=6048, right_input=4948, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=-2124, right_input=-527, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=2897","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2897, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸940∌⫖↰⪸126B⫌⩉⩟(⩦⊞⫖↰⪸1370))⨎(⫖↰⪸2380⪔⊥⫖↰⪸141B⨐⩸⫘(⫖↰⪸3980%⫖↰⪸3140)))⪬((⫖↰⪸980∀⊥⇻)⋛(⫖↰⪸1303⪉⨛⫖↰⪸44B7)⪨⊡⫖↰⪸1900⩦⫖↰⪸1A82⨫⇇↔(⫖↰⪸2A44⨪↰⇹⫖↰⪸AA7))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=((⫖↰⪸940∌⫖↰⪸126B⫌⩉⩟(⩦⊞⫖↰⪸1370))⨎(⫖↰⪸2380⪔⊥⫖↰⪸141B⨐⩸⫘(⫖↰⪸3980%⫖↰⪸3140)))⪬((⫖↰⪸980∀⊥⇻)⋛(⫖↰⪸1303⪉⨛⫖↰⪸44B7)⪨⊡⫖↰⪸1900⩦⫖↰⪸1A82⨫⇇↔(⫖↰⪸2A44⨪↰⇹⫖↰⪸AA7))","cot":[{"info":"⫖↰⪸940∌⫖↰⪸126B=⫖↰⪸-126B","layer":3},{"info":"⩦⊞⫖↰⪸1370=⫖↰⪸-1183","layer":3},{"info":"⫖↰⪸-126B⫌⩉⩟⫖↰⪸-1183=⫖↰⪸-42","layer":2},{"info":"⫖↰⪸2380⪔⊥⫖↰⪸141B=⫖↰⪸64B7","layer":3},{"info":"⫖↰⪸3980%⫖↰⪸3140=⫖↰⪸840","layer":3},{"info":"⫖↰⪸64B7⨐⩸⫘⫖↰⪸840=NaN","layer":2},{"info":"⫖↰⪸-42⨎NaN=NaN","layer":1},{"info":"⫖↰⪸980∀⊥⇻=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1303⪉⨛⫖↰⪸44B7=⫖↰⪸-64B","layer":3},{"info":"⫖↰⪸0⋛⫖↰⪸-64B=⫖↰⪸-1290","layer":2},{"info":"⫖↰⪸1900⩦⫖↰⪸1A82=⫖↰⪸3600","layer":3},{"info":"⫖↰⪸2A44⨪↰⇹⫖↰⪸AA7=⫖↰⪸2A44","layer":3},{"info":"⫖↰⪸3600⨫⇇↔⫖↰⪸2A44=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸-1290⪨⊡⫖↰⪸-37B=⫖↰⪸1815","layer":1},{"info":"NaN⪬⫖↰⪸1815=⫖↰⪸86A","layer":0}]}
{"id":849,"expression_no_base_symbol":"(⊵⊁($5648$∥⊢⊲$1575$⊹∫⫚$3998$⋥⋵⩄$1399$))⪛⫼($3330$↤⩊$4663$⊋≦⊧($3686$⊍⩺⋍$3251$))≳⇉(($1019$⨽$3670$)⪘⨀)","expression":"(⊵⊁(⫖↰⪸3328∥⊢⊲⫖↰⪸AB3⊹∫⫚⫖↰⪸2392⋥⋵⩄⫖↰⪸987))⪛⫼(⫖↰⪸1B16↤⩊⫖↰⪸2847⊋≦⊧(⫖↰⪸2172⊍⩺⋍⫖↰⪸1A6B))≳⇉((⫖↰⪸70B⨽⫖↰⪸215A)⪘⨀)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1654,"operation_count":11,"complexity_ratio":150.36363636363637,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5648,"base":12},"right_expr":{"type":"numeric_atoms","value":1575,"base":12}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3998,"base":12},"right_expr":{"type":"numeric_atoms","value":1399,"base":12}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3330,"base":12},"right_expr":{"type":"numeric_atoms","value":4663,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3686,"base":12},"right_expr":{"type":"numeric_atoms","value":3251,"base":12}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1019,"base":12},"right_expr":{"type":"numeric_atoms","value":3670,"base":12}}}}},"used_operators":["hyuBjUqXlG","AvED76WdY7","uWAJUKEvyW","v1UQAVDJRr","7t3wd0Fuz7","V0kx6qeWkN","oRDoc9rAEX","13rbtpv6ld","OXDGMFPWZM","aA7tF3KVD3","8HhzD0ZcuI"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","uBihLCJcMX","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","EBcxylXtPf","rGHVDoGpnC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5648","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=5648, right_input=1575, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3998","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=3998, right_input=1399, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":2},{"info":"compute unary expreesion, input=-340, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":1},{"info":"number node, value=3330","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=3330, right_input=4663, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3686","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=3251, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=1019","layer":4},{"info":"number node, value=3670","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=3670, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3124779","layer":3},{"info":"compute unary expreesion, input=-3124779, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=6249758","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6249758, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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":12,"result_base":12,"text":"(⊵⊁(⫖↰⪸3328∥⊢⊲⫖↰⪸AB3⊹∫⫚⫖↰⪸2392⋥⋵⩄⫖↰⪸987))⪛⫼(⫖↰⪸1B16↤⩊⫖↰⪸2847⊋≦⊧(⫖↰⪸2172⊍⩺⋍⫖↰⪸1A6B))≳⇉((⫖↰⪸70B⨽⫖↰⪸215A)⪘⨀)=NaN","reverse_text":"NaN=(⊵⊁(⫖↰⪸3328∥⊢⊲⫖↰⪸AB3⊹∫⫚⫖↰⪸2392⋥⋵⩄⫖↰⪸987))⪛⫼(⫖↰⪸1B16↤⩊⫖↰⪸2847⊋≦⊧(⫖↰⪸2172⊍⩺⋍⫖↰⪸1A6B))≳⇉((⫖↰⪸70B⨽⫖↰⪸215A)⪘⨀)","cot":[{"info":"⫖↰⪸3328∥⊢⊲⫖↰⪸AB3=NaN","layer":3},{"info":"⫖↰⪸2392⋥⋵⩄⫖↰⪸987=⫖↰⪸95","layer":3},{"info":"NaN⊹∫⫚⫖↰⪸95=⫖↰⪸-244","layer":2},{"info":"⊵⊁⫖↰⪸-244=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1B16↤⩊⫖↰⪸2847=NaN","layer":3},{"info":"⫖↰⪸2172⊍⩺⋍⫖↰⪸1A6B=NaN","layer":3},{"info":"NaN⊋≦⊧NaN=NaN","layer":2},{"info":"⫖↰⪸70B⨽⫖↰⪸215A=⫖↰⪸-10683A3","layer":3},{"info":"⫖↰⪸-10683A3⪘⨀=⫖↰⪸2114912","layer":2},{"info":"NaN≳⇉⫖↰⪸2114912=NaN","layer":1},{"info":"⫖↰⪸0⪛⫼NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"(($1006$≦↸$5287$)⩦($3460$↡⊰⫅$3369$)≝⊰⇂)⪗","expression":"((⫖↰⪸6BA≦↸⫖↰⪸3087)⩦(⫖↰⪸2004↡⊰⫅⫖↰⪸1B49)≝⊰⇂)⪗","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":341289,"operation_count":5,"complexity_ratio":68257.8,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1006,"base":12},"right_expr":{"type":"numeric_atoms","value":5287,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3460,"base":12},"right_expr":{"type":"numeric_atoms","value":3369,"base":12}}}}},"used_operators":["VEQNXA0ZBg","htSmYCowi5","0kmYd0q39Y","RygbFNSyEJ","VCtxkLNOzz"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","DlLNRPXxWL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=5287","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=5287, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11905","layer":3},{"info":"number node, value=3460","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=3460, right_input=3369, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6738","layer":3},{"info":"compute binary expreesion, left_input=-11905, right_input=6738, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-146965","layer":2},{"info":"compute unary expreesion, input=-146965, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-294064","layer":1},{"info":"compute unary expreesion, input=-294064, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸6BA≦↸⫖↰⪸3087)⩦(⫖↰⪸2004↡⊰⫅⫖↰⪸1B49)≝⊰⇂)⪗=NaN","reverse_text":"NaN=((⫖↰⪸6BA≦↸⫖↰⪸3087)⩦(⫖↰⪸2004↡⊰⫅⫖↰⪸1B49)≝⊰⇂)⪗","cot":[{"info":"⫖↰⪸6BA≦↸⫖↰⪸3087=⫖↰⪸-6A81","layer":3},{"info":"⫖↰⪸2004↡⊰⫅⫖↰⪸1B49=⫖↰⪸3A96","layer":3},{"info":"⫖↰⪸-6A81⩦⫖↰⪸3A96=⫖↰⪸-71071","layer":2},{"info":"⫖↰⪸-71071≝⊰⇂=⫖↰⪸-122214","layer":1},{"info":"⫖↰⪸-122214⪗=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"(⊿$1369$⪄$2681$)∪⫐$5047$⩣⫁∢$1593$⋥⋵⩄$2521$⪟⇏$1642$⨵⪆($5058$⩨$3381$)↳∿⪆($1167$⫰⋱$1146$)⫸⇳($5100$⩦$4163$↺$1727$≦↸$2909$)","expression":"(⊿⫖↰⪸961⪄⫖↰⪸1675)∪⫐⫖↰⪸2B07⩣⫁∢⫖↰⪸B09⋥⋵⩄⫖↰⪸1561⪟⇏⫖↰⪸B4A⨵⪆(⫖↰⪸2B16⩨⫖↰⪸1B59)↳∿⪆(⫖↰⪸813⫰⋱⫖↰⪸7B6)⫸⇳(⫖↰⪸2B50⩦⫖↰⪸24AB↺⫖↰⪸BBB≦↸⫖↰⪸1825)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2659,"operation_count":14,"complexity_ratio":189.92857142857142,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1369,"base":12},"right_expr":{"type":"numeric_atoms","value":2681,"base":12}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5047,"base":12},"right_expr":{"type":"numeric_atoms","value":1593,"base":12}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2521,"base":12},"right_expr":{"type":"numeric_atoms","value":1642,"base":12}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5058,"base":12},"right_expr":{"type":"numeric_atoms","value":3381,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1167,"base":12},"right_expr":{"type":"numeric_atoms","value":1146,"base":12}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":5100,"base":12},"right_expr":{"type":"numeric_atoms","value":4163,"base":12}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1727,"base":12},"right_expr":{"type":"numeric_atoms","value":2909,"base":12}}}}},"used_operators":["2DQ55sFlQl","7YooWSwCyH","DO4fhlbJSI","SUmda5xLS4","7t3wd0Fuz7","JDUIKTTSIa","GODebY97qR","gx7XJ7hdpj","Cw4SuJJGHO","2DlMacCsIx","6o9Blt3TJ6","7j4O788W3g","0kmYd0q39Y","RygbFNSyEJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1369","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=2681, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-209425","layer":3},{"info":"compute unary expreesion, input=-209425, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=839086","layer":2},{"info":"number node, value=5047","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=5047, right_input=1593, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9933","layer":3},{"info":"number node, value=2521","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=1642, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-9933, right_input=-1, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=839086, right_input=113, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=839086","layer":1},{"info":"number node, value=5058","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=5058, right_input=3381, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1146, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1134, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=5100","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=5100, right_input=4163, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=10200","layer":3},{"info":"number node, value=1727","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=2909, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8591","layer":3},{"info":"compute binary expreesion, left_input=10200, right_input=-8591, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-8591","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8591, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=839086, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⊿⫖↰⪸961⪄⫖↰⪸1675)∪⫐⫖↰⪸2B07⩣⫁∢⫖↰⪸B09⋥⋵⩄⫖↰⪸1561⪟⇏⫖↰⪸B4A⨵⪆(⫖↰⪸2B16⩨⫖↰⪸1B59)↳∿⪆(⫖↰⪸813⫰⋱⫖↰⪸7B6)⫸⇳(⫖↰⪸2B50⩦⫖↰⪸24AB↺⫖↰⪸BBB≦↸⫖↰⪸1825)=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⊿⫖↰⪸961⪄⫖↰⪸1675)∪⫐⫖↰⪸2B07⩣⫁∢⫖↰⪸B09⋥⋵⩄⫖↰⪸1561⪟⇏⫖↰⪸B4A⨵⪆(⫖↰⪸2B16⩨⫖↰⪸1B59)↳∿⪆(⫖↰⪸813⫰⋱⫖↰⪸7B6)⫸⇳(⫖↰⪸2B50⩦⫖↰⪸24AB↺⫖↰⪸BBB≦↸⫖↰⪸1825)","cot":[{"info":"⫖↰⪸961⪄⫖↰⪸1675=⫖↰⪸-A1241","layer":3},{"info":"⊿⫖↰⪸-A1241=⫖↰⪸3456BA","layer":2},{"info":"⫖↰⪸2B07⩣⫁∢⫖↰⪸B09=⫖↰⪸-58B9","layer":3},{"info":"⫖↰⪸1561⪟⇏⫖↰⪸B4A=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸-58B9⋥⋵⩄⫖↰⪸-1=⫖↰⪸95","layer":2},{"info":"⫖↰⪸3456BA∪⫐⫖↰⪸95=⫖↰⪸3456BA","layer":1},{"info":"⫖↰⪸2B16⩨⫖↰⪸1B59=⫖↰⪸0","layer":3},{"info":"⫖↰⪸813⫰⋱⫖↰⪸7B6=⫖↰⪸-7A6","layer":3},{"info":"⫖↰⪸0↳∿⪆⫖↰⪸-7A6=NaN","layer":2},{"info":"⫖↰⪸2B50⩦⫖↰⪸24AB=⫖↰⪸5AA0","layer":3},{"info":"⫖↰⪸BBB≦↸⫖↰⪸1825=⫖↰⪸-4B7B","layer":3},{"info":"⫖↰⪸5AA0↺⫖↰⪸-4B7B=⫖↰⪸-4B7B","layer":2},{"info":"NaN⫸⇳⫖↰⪸-4B7B=NaN","layer":1},{"info":"⫖↰⪸3456BA⨵⪆NaN=⫖↰⪸114","layer":0}]}
{"id":852,"expression_no_base_symbol":"(($2322$↑)⨔⇊($3693$⨔≚≋$9031$)⪔(≱⇩⩕($2278$⫲)))∛((↞≼($1017$⪒$1379$))∠↢((↔$2876$)⩵∡(⊖$3503$)))","expression":"((⫖↰⪸1416↑)⨔⇊(⫖↰⪸2179⨔≚≋⫖↰⪸5287)⪔(≱⇩⩕(⫖↰⪸139A⫲)))∛((↞≼(⫖↰⪸709⪒⫖↰⪸96B))∠↢((↔⫖↰⪸17B8)⩵∡(⊖⫖↰⪸203B)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":412,"operation_count":13,"complexity_ratio":31.692307692307693,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2322,"base":12}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3693,"base":12},"right_expr":{"type":"numeric_atoms","value":9031,"base":12}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":2278,"base":12}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1017,"base":12},"right_expr":{"type":"numeric_atoms","value":1379,"base":12}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2876,"base":12}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3503,"base":12}}}}},"used_operators":["w2537kitQq","GjBEYRfMaF","JclMnS0uGI","BThhyOhh10","Z57zeUYC9z","3DZMoQKiUl","9xnGDUPbC6","KbjG8mgYpV","DE7zCoGJt9","f6k1SAg4EE","Y7wcNGrDQJ","ruOEQAzv1W","U6pG0PXrV3"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2322","layer":4},{"info":"compute unary expreesion, input=2322, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=3693","layer":4},{"info":"number node, value=9031","layer":4},{"info":"compute binary expreesion, left_input=3693, right_input=9031, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=9872, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=9872","layer":2},{"info":"number node, value=2278","layer":4},{"info":"compute unary expreesion, input=2278, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=2005","layer":3},{"info":"compute unary expreesion, input=2005, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=113, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1379, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2396","layer":3},{"info":"compute unary expreesion, input=-2396, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-19582","layer":2},{"info":"number node, value=2876","layer":4},{"info":"compute unary expreesion, input=2876, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2603","layer":3},{"info":"number node, value=3503","layer":4},{"info":"compute unary expreesion, input=3503, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2603, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=7688","layer":2},{"info":"compute binary expreesion, left_input=-19582, right_input=7688, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-28222","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=-28222, 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":12,"result_base":12,"text":"((⫖↰⪸1416↑)⨔⇊(⫖↰⪸2179⨔≚≋⫖↰⪸5287)⪔(≱⇩⩕(⫖↰⪸139A⫲)))∛((↞≼(⫖↰⪸709⪒⫖↰⪸96B))∠↢((↔⫖↰⪸17B8)⩵∡(⊖⫖↰⪸203B)))=⫖↰⪸57","reverse_text":"⫖↰⪸57=((⫖↰⪸1416↑)⨔⇊(⫖↰⪸2179⨔≚≋⫖↰⪸5287)⪔(≱⇩⩕(⫖↰⪸139A⫲)))∛((↞≼(⫖↰⪸709⪒⫖↰⪸96B))∠↢((↔⫖↰⪸17B8)⩵∡(⊖⫖↰⪸203B)))","cot":[{"info":"⫖↰⪸1416↑=⫖↰⪸166","layer":3},{"info":"⫖↰⪸2179⨔≚≋⫖↰⪸5287=⫖↰⪸5868","layer":3},{"info":"⫖↰⪸166⨔⇊⫖↰⪸5868=⫖↰⪸5868","layer":2},{"info":"⫖↰⪸139A⫲=⫖↰⪸11B1","layer":3},{"info":"≱⇩⩕⫖↰⪸11B1=⫖↰⪸95","layer":2},{"info":"⫖↰⪸5868⪔⫖↰⪸95=⫖↰⪸316","layer":1},{"info":"⫖↰⪸709⪒⫖↰⪸96B=⫖↰⪸-1478","layer":3},{"info":"↞≼⫖↰⪸-1478=⫖↰⪸-B3BA","layer":2},{"info":"↔⫖↰⪸17B8=⫖↰⪸-160B","layer":3},{"info":"⊖⫖↰⪸203B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-160B⩵∡⫖↰⪸0=⫖↰⪸4548","layer":2},{"info":"⫖↰⪸-B3BA∠↢⫖↰⪸4548=⫖↰⪸-143BA","layer":1},{"info":"⫖↰⪸316∛⫖↰⪸-143BA=⫖↰⪸57","layer":0}]}
{"id":853,"expression_no_base_symbol":"($5709$⫏⊷)⫥∨⫟(≱⇩⩕$4418$)⫰⋱(⪸$3555$∌$2097$)⩹$1383$↸$1218$⨑≵⋬($2190$∖$4655$)⋻⩜⩜(+⊝⨔($1214$∵≐))","expression":"(⫖↰⪸3379⫏⊷)⫥∨⫟(≱⇩⩕⫖↰⪸2682)⫰⋱(⪸⫖↰⪸2083∌⫖↰⪸1269)⩹⫖↰⪸973↸⫖↰⪸856⨑≵⋬(⫖↰⪸1326∖⫖↰⪸283B)⋻⩜⩜(+⊝⨔(⫖↰⪸852∵≐))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":40700,"operation_count":13,"complexity_ratio":3130.769230769231,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":5709,"base":12}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":4418,"base":12}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3555,"base":12},"right_expr":{"type":"numeric_atoms","value":2097,"base":12}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1383,"base":12},"right_expr":{"type":"numeric_atoms","value":1218,"base":12}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2190,"base":12},"right_expr":{"type":"numeric_atoms","value":4655,"base":12}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":1214,"base":12}}}}},"used_operators":["2Wsdkap16l","6o9Blt3TJ6","KYD54nUTWz","dcShxvzhyw","3DZMoQKiUl","86A5ENbKR9","8cLx32lpNA","oDCm7WA9JY","XnXgA4xnOs","1eCjFl0mb9","tXD093vOjl","DhbWaqg5eL","59igzFyhWz"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","8HhzD0ZcuI","rGHVDoGpnC","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"⫖↰⪸A962","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5709","layer":4},{"info":"compute unary expreesion, input=5709, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=4418","layer":4},{"info":"compute unary expreesion, input=4418, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=113, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3555","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=2097, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2097","layer":3},{"info":"compute unary expreesion, input=-2097, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=19072","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19072, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=1383","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=1218, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1383","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=4655","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=4655, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1383, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=9326","layer":2},{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=268","layer":3},{"info":"compute unary expreesion, input=268, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=9326, right_input=1522, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=18652","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18652, 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=18650","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸3379⫏⊷)⫥∨⫟(≱⇩⩕⫖↰⪸2682)⫰⋱(⪸⫖↰⪸2083∌⫖↰⪸1269)⩹⫖↰⪸973↸⫖↰⪸856⨑≵⋬(⫖↰⪸1326∖⫖↰⪸283B)⋻⩜⩜(+⊝⨔(⫖↰⪸852∵≐))=⫖↰⪸A962","reverse_text":"⫖↰⪸A962=(⫖↰⪸3379⫏⊷)⫥∨⫟(≱⇩⩕⫖↰⪸2682)⫰⋱(⪸⫖↰⪸2083∌⫖↰⪸1269)⩹⫖↰⪸973↸⫖↰⪸856⨑≵⋬(⫖↰⪸1326∖⫖↰⪸283B)⋻⩜⩜(+⊝⨔(⫖↰⪸852∵≐))","cot":[{"info":"⫖↰⪸3379⫏⊷=⫖↰⪸-584","layer":3},{"info":"≱⇩⩕⫖↰⪸2682=⫖↰⪸95","layer":3},{"info":"⫖↰⪸-584⫥∨⫟⫖↰⪸95=NaN","layer":2},{"info":"⫖↰⪸2083∌⫖↰⪸1269=⫖↰⪸-1269","layer":3},{"info":"⪸⫖↰⪸-1269=⫖↰⪸B054","layer":2},{"info":"NaN⫰⋱⫖↰⪸B054=NaN","layer":1},{"info":"⫖↰⪸973↸⫖↰⪸856=⫖↰⪸973","layer":3},{"info":"⫖↰⪸1326∖⫖↰⪸283B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸973⨑≵⋬⫖↰⪸0=⫖↰⪸5492","layer":2},{"info":"⫖↰⪸852∵≐=⫖↰⪸1A4","layer":3},{"info":"+⊝⨔⫖↰⪸1A4=⫖↰⪸A6A","layer":2},{"info":"⫖↰⪸5492⋻⩜⩜⫖↰⪸A6A=⫖↰⪸A964","layer":1},{"info":"NaN⩹⫖↰⪸A964=⫖↰⪸A962","layer":0}]}
{"id":854,"expression_no_base_symbol":"⇠(($5037$≳⇉$1065$)⇣⩺⋵($3236$⊹∫⫚$1620$))⋕⪉⪜($1026$⩖⊿$2448$⨟⋌⩍($3899$⩹$3627$))","expression":"⇠((⫖↰⪸2AB9≳⇉⫖↰⪸749)⇣⩺⋵(⫖↰⪸1A58⊹∫⫚⫖↰⪸B30))⋕⪉⪜(⫖↰⪸716⩖⊿⫖↰⪸1500⨟⋌⩍(⫖↰⪸230B⩹⫖↰⪸2123))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19034803,"operation_count":8,"complexity_ratio":2379350.375,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5037,"base":12},"right_expr":{"type":"numeric_atoms","value":1065,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3236,"base":12},"right_expr":{"type":"numeric_atoms","value":1620,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1026,"base":12},"right_expr":{"type":"numeric_atoms","value":2448,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3899,"base":12},"right_expr":{"type":"numeric_atoms","value":3627,"base":12}}}}},"used_operators":["18saOjeKKm","z6LnFrNh4i","F4yD0voBRQ","V0kx6qeWkN","uWAJUKEvyW","rGHVDoGpnC","RZ5CV9rWsJ","2Wsdkap16l"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","Tcnh7f0tEr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"⫖↰⪸32","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=5037","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=1065, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3236","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=1620, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-252","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-252, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2448, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=15398","layer":3},{"info":"number node, value=3899","layer":4},{"info":"number node, value=3627","layer":4},{"info":"compute binary expreesion, left_input=3899, right_input=3627, 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=3625","layer":3},{"info":"compute binary expreesion, left_input=15398, right_input=3625, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=38","layer":0}],"base":12,"result_base":12,"text":"⇠((⫖↰⪸2AB9≳⇉⫖↰⪸749)⇣⩺⋵(⫖↰⪸1A58⊹∫⫚⫖↰⪸B30))⋕⪉⪜(⫖↰⪸716⩖⊿⫖↰⪸1500⨟⋌⩍(⫖↰⪸230B⩹⫖↰⪸2123))=⫖↰⪸32","reverse_text":"⫖↰⪸32=⇠((⫖↰⪸2AB9≳⇉⫖↰⪸749)⇣⩺⋵(⫖↰⪸1A58⊹∫⫚⫖↰⪸B30))⋕⪉⪜(⫖↰⪸716⩖⊿⫖↰⪸1500⨟⋌⩍(⫖↰⪸230B⩹⫖↰⪸2123))","cot":[{"info":"⫖↰⪸2AB9≳⇉⫖↰⪸749=NaN","layer":3},{"info":"⫖↰⪸1A58⊹∫⫚⫖↰⪸B30=⫖↰⪸-190","layer":3},{"info":"NaN⇣⩺⋵⫖↰⪸-190=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸716⩖⊿⫖↰⪸1500=⫖↰⪸8AB2","layer":3},{"info":"⫖↰⪸230B⩹⫖↰⪸2123=⫖↰⪸2121","layer":3},{"info":"⫖↰⪸8AB2⨟⋌⩍⫖↰⪸2121=NaN","layer":2},{"info":"⫖↰⪸-198⋕⪉⪜NaN=⫖↰⪸150","layer":1},{"info":"⇠⫖↰⪸150=⫖↰⪸32","layer":0}]}
{"id":855,"expression_no_base_symbol":"$1497$∺≝⩲$4636$⫰⋱(⊆⋠$1663$)⇼⇔∾($1269$⫸⊐$3502$)⩌⋺($1011$≧⫂∧$6123$)⪁(≋((⩒∊$4207$)⩌⋺(⩩$1771$)))","expression":"⫖↰⪸A49∺≝⩲⫖↰⪸2824⫰⋱(⊆⋠⫖↰⪸B67)⇼⇔∾(⫖↰⪸899⫸⊐⫖↰⪸203A)⩌⋺(⫖↰⪸703≧⫂∧⫖↰⪸3663)⪁(≋((⩒∊⫖↰⪸2527)⩌⋺(⩩⫖↰⪸1037)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22368,"operation_count":12,"complexity_ratio":1864.0,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1497,"base":12},"right_expr":{"type":"numeric_atoms","value":4636,"base":12}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1663,"base":12}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1269,"base":12},"right_expr":{"type":"numeric_atoms","value":3502,"base":12}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1011,"base":12},"right_expr":{"type":"numeric_atoms","value":6123,"base":12}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4207,"base":12}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1771,"base":12}}}}},"used_operators":["I7sXao9hZE","tifHPKVTfV","6o9Blt3TJ6","KPf6cnQVty","EBhcHTkKd8","g7Hmc5v1ko","mqXw5SEYmG","Ph9nP6C5qx","61wBmkZwlr","qazvmhNBbN","kMhfGuqI2H"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1497","layer":4},{"info":"number node, value=4636","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=4636, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1663","layer":4},{"info":"compute unary expreesion, input=1663, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-127","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=3502","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=3502, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13883","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=6123","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=6123, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5650","layer":3},{"info":"compute binary expreesion, left_input=13883, right_input=5650, 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=-19654","layer":2},{"info":"compute binary expreesion, left_input=-127, right_input=-19654, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-19527","layer":1},{"info":"number node, value=4207","layer":4},{"info":"compute unary expreesion, input=4207, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=7657","layer":3},{"info":"number node, value=1771","layer":4},{"info":"compute unary expreesion, input=1771, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7657, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-19527, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸A49∺≝⩲⫖↰⪸2824⫰⋱(⊆⋠⫖↰⪸B67)⇼⇔∾(⫖↰⪸899⫸⊐⫖↰⪸203A)⩌⋺(⫖↰⪸703≧⫂∧⫖↰⪸3663)⪁(≋((⩒∊⫖↰⪸2527)⩌⋺(⩩⫖↰⪸1037)))=NaN","reverse_text":"NaN=⫖↰⪸A49∺≝⩲⫖↰⪸2824⫰⋱(⊆⋠⫖↰⪸B67)⇼⇔∾(⫖↰⪸899⫸⊐⫖↰⪸203A)⩌⋺(⫖↰⪸703≧⫂∧⫖↰⪸3663)⪁(≋((⩒∊⫖↰⪸2527)⩌⋺(⩩⫖↰⪸1037)))","cot":[{"info":"⫖↰⪸A49∺≝⩲⫖↰⪸2824=⫖↰⪸114","layer":3},{"info":"⊆⋠⫖↰⪸B67=⫖↰⪸0","layer":3},{"info":"⫖↰⪸114⫰⋱⫖↰⪸0=⫖↰⪸-A7","layer":2},{"info":"⫖↰⪸899⫸⊐⫖↰⪸203A=⫖↰⪸804B","layer":3},{"info":"⫖↰⪸703≧⫂∧⫖↰⪸3663=⫖↰⪸332A","layer":3},{"info":"⫖↰⪸804B⩌⋺⫖↰⪸332A=⫖↰⪸-B45A","layer":2},{"info":"⫖↰⪸-A7⇼⇔∾⫖↰⪸-B45A=⫖↰⪸-B373","layer":1},{"info":"⩒∊⫖↰⪸2527=⫖↰⪸4521","layer":3},{"info":"⩩⫖↰⪸1037=NaN","layer":3},{"info":"⫖↰⪸4521⩌⋺NaN=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"⫖↰⪸-B373⪁NaN=NaN","layer":0}]}
{"id":856,"expression_no_base_symbol":"⇖(⨵≀≌$1153$⊢$1737$)⨔⇊(≇⪴($5718$+$1164$))","expression":"⇖(⨵≀≌⫖↰⪸801⊢⫖↰⪸1009)⨔⇊(≇⪴(⫖↰⪸3386+⫖↰⪸810))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2613,"operation_count":6,"complexity_ratio":435.5,"tree":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1153,"base":12},"right_expr":{"type":"numeric_atoms","value":1737,"base":12}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5718,"base":12},"right_expr":{"type":"numeric_atoms","value":1164,"base":12}}}}},"used_operators":["tfWHHpNKUN","JclMnS0uGI","srAu1WTS94","5twsqlHp2o","zoVPnxeHJ3","W4YGzv6Whe"],"dependent_operators":["2DQ55sFlQl","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1737, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2550","layer":3},{"info":"compute unary expreesion, input=-2550, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=6502500","layer":2},{"info":"number node, value=5718","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=5718, right_input=1164, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6882","layer":3},{"info":"compute unary expreesion, input=6882, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-19306","layer":2},{"info":"compute binary expreesion, left_input=6502500, right_input=-19306, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":12,"result_base":12,"text":"⇖(⨵≀≌⫖↰⪸801⊢⫖↰⪸1009)⨔⇊(≇⪴(⫖↰⪸3386+⫖↰⪸810))=⫖↰⪸114","reverse_text":"⫖↰⪸114=⇖(⨵≀≌⫖↰⪸801⊢⫖↰⪸1009)⨔⇊(≇⪴(⫖↰⪸3386+⫖↰⪸810))","cot":[{"info":"⫖↰⪸801⊢⫖↰⪸1009=⫖↰⪸-1586","layer":3},{"info":"⨵≀≌⫖↰⪸-1586=⫖↰⪸2217030","layer":2},{"info":"⫖↰⪸3386+⫖↰⪸810=⫖↰⪸3B96","layer":3},{"info":"≇⪴⫖↰⪸3B96=⫖↰⪸-B20A","layer":2},{"info":"⫖↰⪸2217030⨔⇊⫖↰⪸-B20A=⫖↰⪸57","layer":1},{"info":"⇖⫖↰⪸57=⫖↰⪸114","layer":0}]}
{"id":857,"expression_no_base_symbol":"(($2230$⪉⨛$1620$)⪶≀⋏$1796$⇻⋧≁$2613$⪇≇⋚(⇜⊴$6794$⊴$4148$))⇴(⨣⨃⇪$2590$)⩣⫁∢($1544$∙∹∝$1515$)⪒⊣⊆(($5703$⫡⨏$6171$)∠↢$5680$⫁⪎$1244$)","expression":"((⫖↰⪸135A⪉⨛⫖↰⪸B30)⪶≀⋏⫖↰⪸1058⇻⋧≁⫖↰⪸1619⪇≇⋚(⇜⊴⫖↰⪸3B22⊴⫖↰⪸2498))⇴(⨣⨃⇪⫖↰⪸15BA)⩣⫁∢(⫖↰⪸A88∙∹∝⫖↰⪸A63)⪒⊣⊆((⫖↰⪸3373⫡⨏⫖↰⪸36A3)∠↢⫖↰⪸3354⫁⪎⫖↰⪸878)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":12294,"operation_count":14,"complexity_ratio":878.1428571428571,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2230,"base":12},"right_expr":{"type":"numeric_atoms","value":1620,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1796,"base":12},"right_expr":{"type":"numeric_atoms","value":2613,"base":12}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6794,"base":12},"right_expr":{"type":"numeric_atoms","value":4148,"base":12}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2590,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1544,"base":12},"right_expr":{"type":"numeric_atoms","value":1515,"base":12}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5703,"base":12},"right_expr":{"type":"numeric_atoms","value":6171,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5680,"base":12},"right_expr":{"type":"numeric_atoms","value":1244,"base":12}}}}},"used_operators":["4JB6nKBMSY","3sJ7IOPOlU","zR4jO40bMj","EWw2JM7wp4","jCPkEVoL5K","XwDhCwWbUn","Nsiff2A1zJ","eRqsBgTDFp","JDUIKTTSIa","AcOhelriW5","HmxsFra2vL","KbjG8mgYpV","QMFrweE19q","xRrnTEsQ6j"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","W4YGzv6Whe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2230","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=1620, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5285","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=2613, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=5285, right_input=-447, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15193","layer":2},{"info":"number node, value=6794","layer":4},{"info":"number node, value=4148","layer":4},{"info":"compute binary expreesion, left_input=6794, right_input=4148, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15193, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=1515, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2649","layer":2},{"info":"number node, value=5703","layer":4},{"info":"number node, value=6171","layer":4},{"info":"compute binary expreesion, left_input=5703, right_input=6171, 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=41640","layer":3},{"info":"number node, value=5680","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=5680, right_input=1244, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4436","layer":3},{"info":"compute binary expreesion, left_input=41640, right_input=4436, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-227582","layer":2},{"info":"compute binary expreesion, left_input=-2649, right_input=-227582, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-449764","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-449764, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸135A⪉⨛⫖↰⪸B30)⪶≀⋏⫖↰⪸1058⇻⋧≁⫖↰⪸1619⪇≇⋚(⇜⊴⫖↰⪸3B22⊴⫖↰⪸2498))⇴(⨣⨃⇪⫖↰⪸15BA)⩣⫁∢(⫖↰⪸A88∙∹∝⫖↰⪸A63)⪒⊣⊆((⫖↰⪸3373⫡⨏⫖↰⪸36A3)∠↢⫖↰⪸3354⫁⪎⫖↰⪸878)=NaN","reverse_text":"NaN=((⫖↰⪸135A⪉⨛⫖↰⪸B30)⪶≀⋏⫖↰⪸1058⇻⋧≁⫖↰⪸1619⪇≇⋚(⇜⊴⫖↰⪸3B22⊴⫖↰⪸2498))⇴(⨣⨃⇪⫖↰⪸15BA)⩣⫁∢(⫖↰⪸A88∙∹∝⫖↰⪸A63)⪒⊣⊆((⫖↰⪸3373⫡⨏⫖↰⪸36A3)∠↢⫖↰⪸3354⫁⪎⫖↰⪸878)","cot":[{"info":"⫖↰⪸135A⪉⨛⫖↰⪸B30=⫖↰⪸3085","layer":3},{"info":"⫖↰⪸1058⇻⋧≁⫖↰⪸1619=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸3085⪶≀⋏⫖↰⪸-313=⫖↰⪸-8961","layer":2},{"info":"⫖↰⪸3B22⊴⫖↰⪸2498=NaN","layer":3},{"info":"⇜⊴NaN=NaN","layer":2},{"info":"⫖↰⪸-8961⪇≇⋚NaN=NaN","layer":1},{"info":"⨣⨃⇪⫖↰⪸15BA=⫖↰⪸991","layer":3},{"info":"⫖↰⪸A88∙∹∝⫖↰⪸A63=⫖↰⪸0","layer":3},{"info":"⫖↰⪸991⩣⫁∢⫖↰⪸0=⫖↰⪸-1649","layer":2},{"info":"⫖↰⪸3373⫡⨏⫖↰⪸36A3=⫖↰⪸20120","layer":3},{"info":"⫖↰⪸3354⫁⪎⫖↰⪸878=⫖↰⪸2698","layer":3},{"info":"⫖↰⪸20120∠↢⫖↰⪸2698=⫖↰⪸-AB852","layer":2},{"info":"⫖↰⪸-1649⪒⊣⊆⫖↰⪸-AB852=⫖↰⪸-198344","layer":1},{"info":"NaN⇴⫖↰⪸-198344=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"(($2398$⨑≵⋬$4217$)⫽⇹≛)∙∹∝($1762$∕⩚$1797$)⪡($3258$↡⊰⫅$5148$)+(∐⩳⋚($2386$⩖⊿$1425$≨(↪⫪⫘$1328$)))","expression":"((⫖↰⪸147A⨑≵⋬⫖↰⪸2535)⫽⇹≛)∙∹∝(⫖↰⪸102A∕⩚⫖↰⪸1059)⪡(⫖↰⪸1A76↡⊰⫅⫖↰⪸2B90)+(∐⩳⋚(⫖↰⪸146A⩖⊿⫖↰⪸9A9≨(↪⫪⫘⫖↰⪸928)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":74282,"operation_count":11,"complexity_ratio":6752.909090909091,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2398,"base":12},"right_expr":{"type":"numeric_atoms","value":4217,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1762,"base":12},"right_expr":{"type":"numeric_atoms","value":1797,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3258,"base":12},"right_expr":{"type":"numeric_atoms","value":5148,"base":12}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2386,"base":12},"right_expr":{"type":"numeric_atoms","value":1425,"base":12}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1328,"base":12}}}}},"used_operators":["W4YGzv6Whe","HmxsFra2vL","NNaDxxp6OQ","XnXgA4xnOs","oraRL2iQuh","z9ffQ9n5Zr","VCtxkLNOzz","SL6IHkK8vl","0KMCeP1Jsh","RZ5CV9rWsJ","9dWsAM3GFt"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"⫖↰⪸-15B256A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2398","layer":4},{"info":"number node, value=4217","layer":4},{"info":"compute binary expreesion, left_input=2398, right_input=4217, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-16150","layer":3},{"info":"compute unary expreesion, input=-16150, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=1762","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1797, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1765","layer":3},{"info":"number node, value=3258","layer":4},{"info":"number node, value=5148","layer":4},{"info":"compute binary expreesion, left_input=3258, right_input=5148, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10296","layer":3},{"info":"compute binary expreesion, left_input=-1765, right_input=10296, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=4498","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=4498, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2386","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1425, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1774","layer":3},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=1774, right_input=20, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-15264","layer":2},{"info":"compute unary expreesion, input=-15264, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-4462498","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4462498, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4462498","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸147A⨑≵⋬⫖↰⪸2535)⫽⇹≛)∙∹∝(⫖↰⪸102A∕⩚⫖↰⪸1059)⪡(⫖↰⪸1A76↡⊰⫅⫖↰⪸2B90)+(∐⩳⋚(⫖↰⪸146A⩖⊿⫖↰⪸9A9≨(↪⫪⫘⫖↰⪸928)))=⫖↰⪸-15B256A","reverse_text":"⫖↰⪸-15B256A=((⫖↰⪸147A⨑≵⋬⫖↰⪸2535)⫽⇹≛)∙∹∝(⫖↰⪸102A∕⩚⫖↰⪸1059)⪡(⫖↰⪸1A76↡⊰⫅⫖↰⪸2B90)+(∐⩳⋚(⫖↰⪸146A⩖⊿⫖↰⪸9A9≨(↪⫪⫘⫖↰⪸928)))","cot":[{"info":"⫖↰⪸147A⨑≵⋬⫖↰⪸2535=⫖↰⪸-941A","layer":3},{"info":"⫖↰⪸-941A⫽⇹≛=⫖↰⪸1A8","layer":2},{"info":"⫖↰⪸102A∕⩚⫖↰⪸1059=⫖↰⪸-1031","layer":3},{"info":"⫖↰⪸1A76↡⊰⫅⫖↰⪸2B90=⫖↰⪸5B60","layer":3},{"info":"⫖↰⪸-1031⪡⫖↰⪸5B60=⫖↰⪸272A","layer":2},{"info":"⫖↰⪸1A8∙∹∝⫖↰⪸272A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸146A⩖⊿⫖↰⪸9A9=⫖↰⪸103A","layer":3},{"info":"↪⫪⫘⫖↰⪸928=⫖↰⪸18","layer":3},{"info":"⫖↰⪸103A≨⫖↰⪸18=⫖↰⪸-8A00","layer":2},{"info":"∐⩳⋚⫖↰⪸-8A00=⫖↰⪸-15B256A","layer":1},{"info":"⫖↰⪸0+⫖↰⪸-15B256A=⫖↰⪸-15B256A","layer":0}]}
{"id":859,"expression_no_base_symbol":"↸⊣(∥⊫$1780$∌↝$2172$)⫘(↨$1964$⫘$6435$)","expression":"↸⊣(∥⊫⫖↰⪸1044∌↝⫖↰⪸1310)⫘(↨⫖↰⪸1178⫘⫖↰⪸3883)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3464,"operation_count":6,"complexity_ratio":577.3333333333334,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1780,"base":12},"right_expr":{"type":"numeric_atoms","value":2172,"base":12}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1964,"base":12},"right_expr":{"type":"numeric_atoms","value":6435,"base":12}}}}},"used_operators":["wztAlM01eG","48vC8HMD2b","P8v4zCKN1o","9Isq31Ruls","jiX4gk2v2Q"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC","oZj3VtZNQx"],"result":"⫖↰⪸-415132","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1780","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=2172, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"number node, value=1964","layer":4},{"info":"number node, value=6435","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=6435, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2314069","layer":3},{"info":"compute unary expreesion, input=2314069, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1025173","layer":1},{"info":"compute unary expreesion, input=1025173, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1024886","layer":0}],"base":12,"result_base":12,"text":"↸⊣(∥⊫⫖↰⪸1044∌↝⫖↰⪸1310)⫘(↨⫖↰⪸1178⫘⫖↰⪸3883)=⫖↰⪸-415132","reverse_text":"⫖↰⪸-415132=↸⊣(∥⊫⫖↰⪸1044∌↝⫖↰⪸1310)⫘(↨⫖↰⪸1178⫘⫖↰⪸3883)","cot":[{"info":"⫖↰⪸1044∌↝⫖↰⪸1310=⫖↰⪸0","layer":3},{"info":"∥⊫⫖↰⪸0=⫖↰⪸604","layer":2},{"info":"⫖↰⪸1178⫘⫖↰⪸3883=⫖↰⪸9371B1","layer":3},{"info":"↨⫖↰⪸9371B1=NaN","layer":2},{"info":"⫖↰⪸604⫘NaN=⫖↰⪸415331","layer":1},{"info":"↸⊣⫖↰⪸415331=⫖↰⪸-415132","layer":0}]}
{"id":860,"expression_no_base_symbol":"(($6295$⫁$4524$⨎(∑⇻≧$1398$))∵≐)⪛((⨴⫝($1329$⨑≵⋬$2480$))⫃⨇$1816$⨿$3571$⩷∴$8383$⊉↱≁$4788$)","expression":"((⫖↰⪸3787⫁⫖↰⪸2750⨎(∑⇻≧⫖↰⪸986))∵≐)⪛((⨴⫝(⫖↰⪸929⨑≵⋬⫖↰⪸1528))⫃⨇⫖↰⪸1074⨿⫖↰⪸2097⩷∴⫖↰⪸4A27⊉↱≁⫖↰⪸2930)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2218,"operation_count":11,"complexity_ratio":201.63636363636363,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6295,"base":12},"right_expr":{"type":"numeric_atoms","value":4524,"base":12}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1398,"base":12}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1329,"base":12},"right_expr":{"type":"numeric_atoms","value":2480,"base":12}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1816,"base":12},"right_expr":{"type":"numeric_atoms","value":3571,"base":12}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8383,"base":12},"right_expr":{"type":"numeric_atoms","value":4788,"base":12}}}}},"used_operators":["uFcxV4UQCh","59igzFyhWz","rJVOvQCfKK","0ajvFaJAv0","l1M9WJ3V7u","09Ly4LVMIf","SVb2v531z1","XnXgA4xnOs","9FxExcQeMw","abYXlopdE0","w2P8NbNXyL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","cHh1gJQ2o6","AHs5Up7iyr","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⫖↰⪸296","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6295","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=6295, right_input=4524, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-852, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-852","layer":2},{"info":"compute unary expreesion, input=-852, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=402","layer":1},{"info":"number node, value=1329","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=2480, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-9336","layer":3},{"info":"compute unary expreesion, input=-9336, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"number node, value=1816","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=3571, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=8383","layer":4},{"info":"number node, value=4788","layer":4},{"info":"compute binary expreesion, left_input=8383, right_input=4788, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=55050","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=55050, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-110770","layer":2},{"info":"compute binary expreesion, left_input=2828198, right_input=-110770, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=443048","layer":1},{"info":"compute binary expreesion, left_input=402, right_input=443048, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=402","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3787⫁⫖↰⪸2750⨎(∑⇻≧⫖↰⪸986))∵≐)⪛((⨴⫝(⫖↰⪸929⨑≵⋬⫖↰⪸1528))⫃⨇⫖↰⪸1074⨿⫖↰⪸2097⩷∴⫖↰⪸4A27⊉↱≁⫖↰⪸2930)=⫖↰⪸296","reverse_text":"⫖↰⪸296=((⫖↰⪸3787⫁⫖↰⪸2750⨎(∑⇻≧⫖↰⪸986))∵≐)⪛((⨴⫝(⫖↰⪸929⨑≵⋬⫖↰⪸1528))⫃⨇⫖↰⪸1074⨿⫖↰⪸2097⩷∴⫖↰⪸4A27⊉↱≁⫖↰⪸2930)","cot":[{"info":"⫖↰⪸3787⫁⫖↰⪸2750=⫖↰⪸114","layer":3},{"info":"∑⇻≧⫖↰⪸986=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸114⨎⫖↰⪸-5B0=⫖↰⪸-5B0","layer":2},{"info":"⫖↰⪸-5B0∵≐=⫖↰⪸296","layer":1},{"info":"⫖↰⪸929⨑≵⋬⫖↰⪸1528=⫖↰⪸-54A0","layer":3},{"info":"⨴⫝⫖↰⪸-54A0=⫖↰⪸B44832","layer":2},{"info":"⫖↰⪸1074⨿⫖↰⪸2097=⫖↰⪸-227","layer":3},{"info":"⫖↰⪸4A27⊉↱≁⫖↰⪸2930=⫖↰⪸27A36","layer":3},{"info":"⫖↰⪸-227⩷∴⫖↰⪸27A36=⫖↰⪸-5412A","layer":2},{"info":"⫖↰⪸B44832⫃⨇⫖↰⪸-5412A=⫖↰⪸194488","layer":1},{"info":"⫖↰⪸296⪛⫖↰⪸194488=⫖↰⪸296","layer":0}]}
{"id":861,"expression_no_base_symbol":"↨(⋠∜($2480$⇂≾⫗$3641$)⪃⊛⇣($1552$→⨶⪴$5482$))","expression":"↨(⋠∜(⫖↰⪸1528⇂≾⫗⫖↰⪸2135)⪃⊛⇣(⫖↰⪸A94→⨶⪴⫖↰⪸320A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":457792,"operation_count":5,"complexity_ratio":91558.4,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2480,"base":12},"right_expr":{"type":"numeric_atoms","value":3641,"base":12}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1552,"base":12},"right_expr":{"type":"numeric_atoms","value":5482,"base":12}}}}},"used_operators":["jiX4gk2v2Q","ZJpFhNJr3x","rrgAzCduG9","aBQ6xLxuTc","bF6eod5Gvf"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"number node, value=3641","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=3641, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=5482","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=5482, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-16446","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-16446, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7220","layer":1},{"info":"compute unary expreesion, input=7220, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↨(⋠∜(⫖↰⪸1528⇂≾⫗⫖↰⪸2135)⪃⊛⇣(⫖↰⪸A94→⨶⪴⫖↰⪸320A))=NaN","reverse_text":"NaN=↨(⋠∜(⫖↰⪸1528⇂≾⫗⫖↰⪸2135)⪃⊛⇣(⫖↰⪸A94→⨶⪴⫖↰⪸320A))","cot":[{"info":"⫖↰⪸1528⇂≾⫗⫖↰⪸2135=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸A94→⨶⪴⫖↰⪸320A=⫖↰⪸-9626","layer":3},{"info":"⫖↰⪸-484⪃⊛⇣⫖↰⪸-9626=⫖↰⪸86A","layer":2},{"info":"⋠∜⫖↰⪸86A=⫖↰⪸4218","layer":1},{"info":"↨⫖↰⪸4218=NaN","layer":0}]}
{"id":862,"expression_no_base_symbol":"⫛⫱⨽((⩩($1926$∕⩚$4642$))⨐⩸⫘($1539$⪥$3258$⨒$2363$⫁$4544$))","expression":"⫛⫱⨽((⩩(⫖↰⪸1146∕⩚⫖↰⪸282A))⨐⩸⫘(⫖↰⪸A83⪥⫖↰⪸1A76⨒⫖↰⪸144B⫁⫖↰⪸2768))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5855,"operation_count":7,"complexity_ratio":836.4285714285714,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1926,"base":12},"right_expr":{"type":"numeric_atoms","value":4642,"base":12}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1539,"base":12},"right_expr":{"type":"numeric_atoms","value":3258,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2363,"base":12},"right_expr":{"type":"numeric_atoms","value":4544,"base":12}}}}},"used_operators":["DlLNRPXxWL","fu6greOZ01","kMhfGuqI2H","z9ffQ9n5Zr","y75s1iXyHd","QbnwKVWMIQ","0ajvFaJAv0"],"dependent_operators":["rGHVDoGpnC","3ViojmjbAp","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1926","layer":4},{"info":"number node, value=4642","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=4642, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1929","layer":3},{"info":"compute unary expreesion, input=-1929, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1539","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=3258, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10808","layer":3},{"info":"number node, value=2363","layer":4},{"info":"number node, value=4544","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=4544, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=10808, right_input=160, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫛⫱⨽((⩩(⫖↰⪸1146∕⩚⫖↰⪸282A))⨐⩸⫘(⫖↰⪸A83⪥⫖↰⪸1A76⨒⫖↰⪸144B⫁⫖↰⪸2768))=NaN","reverse_text":"NaN=⫛⫱⨽((⩩(⫖↰⪸1146∕⩚⫖↰⪸282A))⨐⩸⫘(⫖↰⪸A83⪥⫖↰⪸1A76⨒⫖↰⪸144B⫁⫖↰⪸2768))","cot":[{"info":"⫖↰⪸1146∕⩚⫖↰⪸282A=⫖↰⪸-1149","layer":3},{"info":"⩩⫖↰⪸-1149=NaN","layer":2},{"info":"⫖↰⪸A83⪥⫖↰⪸1A76=⫖↰⪸6308","layer":3},{"info":"⫖↰⪸144B⫁⫖↰⪸2768=⫖↰⪸114","layer":3},{"info":"⫖↰⪸6308⨒⫖↰⪸114=⫖↰⪸0","layer":2},{"info":"NaN⨐⩸⫘⫖↰⪸0=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"(($6222$↳∿⪆$1119$∝(⩦⩻⨪$2703$))⊹∫⫚($7582$⇴∐$1406$)⊔($3518$≓∲$9540$))∇⊂⋱(((⨂⪏⇭$3295$)⪍↜⋙$1197$∌$2888$)⩇∃⫛($6015$⫁⪎$3597$)≦↸($2732$≹⇙⪍$1790$))","expression":"((⫖↰⪸3726↳∿⪆⫖↰⪸793∝(⩦⩻⨪⫖↰⪸1693))⊹∫⫚(⫖↰⪸447A⇴∐⫖↰⪸992)⊔(⫖↰⪸2052≓∲⫖↰⪸5630))∇⊂⋱(((⨂⪏⇭⫖↰⪸1AA7)⪍↜⋙⫖↰⪸839∌⫖↰⪸1808)⩇∃⫛(⫖↰⪸3593⫁⪎⫖↰⪸20B9)≦↸(⫖↰⪸16B8≹⇙⪍⫖↰⪸1052))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2589,"operation_count":15,"complexity_ratio":172.6,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6222,"base":12},"right_expr":{"type":"numeric_atoms","value":1119,"base":12}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2703,"base":12}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":7582,"base":12},"right_expr":{"type":"numeric_atoms","value":1406,"base":12}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3518,"base":12},"right_expr":{"type":"numeric_atoms","value":9540,"base":12}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3295,"base":12}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1197,"base":12},"right_expr":{"type":"numeric_atoms","value":2888,"base":12}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6015,"base":12},"right_expr":{"type":"numeric_atoms","value":3597,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2732,"base":12},"right_expr":{"type":"numeric_atoms","value":1790,"base":12}}}}},"used_operators":["nhYeJWJD5X","uWAJUKEvyW","cTDWOvIxvz","Cw4SuJJGHO","2td37pGCOC","E4l6HwMY31","HnzytWxmAO","s1XTVnmDOJ","1aApVXNlOP","L05ObWFQCd","AYdpE9sXAk","8cLx32lpNA","RygbFNSyEJ","xRrnTEsQ6j","AHs5Up7iyr"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6222","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=6222, right_input=1119, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2703","layer":4},{"info":"compute unary expreesion, input=2703, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2703","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2703, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=7582","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=7582, right_input=1406, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3518","layer":4},{"info":"number node, value=9540","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=9540, 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=35963","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=35963, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"number node, value=3295","layer":4},{"info":"compute unary expreesion, input=3295, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=8906","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=2888","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=2888, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2888","layer":3},{"info":"compute binary expreesion, left_input=8906, right_input=-2888, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=23588","layer":2},{"info":"number node, value=6015","layer":4},{"info":"number node, value=3597","layer":4},{"info":"compute binary expreesion, left_input=6015, right_input=3597, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2418","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=1790, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2418, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23588, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3726↳∿⪆⫖↰⪸793∝(⩦⩻⨪⫖↰⪸1693))⊹∫⫚(⫖↰⪸447A⇴∐⫖↰⪸992)⊔(⫖↰⪸2052≓∲⫖↰⪸5630))∇⊂⋱(((⨂⪏⇭⫖↰⪸1AA7)⪍↜⋙⫖↰⪸839∌⫖↰⪸1808)⩇∃⫛(⫖↰⪸3593⫁⪎⫖↰⪸20B9)≦↸(⫖↰⪸16B8≹⇙⪍⫖↰⪸1052))=NaN","reverse_text":"NaN=((⫖↰⪸3726↳∿⪆⫖↰⪸793∝(⩦⩻⨪⫖↰⪸1693))⊹∫⫚(⫖↰⪸447A⇴∐⫖↰⪸992)⊔(⫖↰⪸2052≓∲⫖↰⪸5630))∇⊂⋱(((⨂⪏⇭⫖↰⪸1AA7)⪍↜⋙⫖↰⪸839∌⫖↰⪸1808)⩇∃⫛(⫖↰⪸3593⫁⪎⫖↰⪸20B9)≦↸(⫖↰⪸16B8≹⇙⪍⫖↰⪸1052))","cot":[{"info":"⫖↰⪸3726↳∿⪆⫖↰⪸793=NaN","layer":3},{"info":"⩦⩻⨪⫖↰⪸1693=⫖↰⪸1693","layer":3},{"info":"NaN∝⫖↰⪸1693=NaN","layer":2},{"info":"⫖↰⪸447A⇴∐⫖↰⪸992=NaN","layer":3},{"info":"⫖↰⪸2052≓∲⫖↰⪸5630=⫖↰⪸1898B","layer":3},{"info":"NaN⊔⫖↰⪸1898B=NaN","layer":2},{"info":"NaN⊹∫⫚NaN=NaN","layer":1},{"info":"⨂⪏⇭⫖↰⪸1AA7=⫖↰⪸51A2","layer":3},{"info":"⫖↰⪸839∌⫖↰⪸1808=⫖↰⪸-1808","layer":3},{"info":"⫖↰⪸51A2⪍↜⋙⫖↰⪸-1808=⫖↰⪸11798","layer":2},{"info":"⫖↰⪸3593⫁⪎⫖↰⪸20B9=⫖↰⪸1496","layer":3},{"info":"⫖↰⪸16B8≹⇙⪍⫖↰⪸1052=NaN","layer":3},{"info":"⫖↰⪸1496≦↸NaN=NaN","layer":2},{"info":"⫖↰⪸11798⩇∃⫛NaN=NaN","layer":1},{"info":"NaN∇⊂⋱NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"(($1268$⊋≦⊧$7005$)⊝⪿⪼($2192$⩹$4615$))⨚($2117$⊹∫⫚$3244$)⩦(⇐$4183$)⨓((⪝⪂⫅(⨴⫝$5233$))⇼⇔∾(($5688$⫠↝⫳)⫳≱↱(-$6669$)))","expression":"((⫖↰⪸898⊋≦⊧⫖↰⪸4079)⊝⪿⪼(⫖↰⪸1328⩹⫖↰⪸2807))⨚(⫖↰⪸1285⊹∫⫚⫖↰⪸1A64)⩦(⇐⫖↰⪸2507)⨓((⪝⪂⫅(⨴⫝⫖↰⪸3041))⇼⇔∾((⫖↰⪸3360⫠↝⫳)⫳≱↱(-⫖↰⪸3A39)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2480,"operation_count":14,"complexity_ratio":177.14285714285714,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1268,"base":12},"right_expr":{"type":"numeric_atoms","value":7005,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2192,"base":12},"right_expr":{"type":"numeric_atoms","value":4615,"base":12}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2117,"base":12},"right_expr":{"type":"numeric_atoms","value":3244,"base":12}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":4183,"base":12}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":5233,"base":12}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":5688,"base":12}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6669,"base":12}}}}},"used_operators":["3ViojmjbAp","nREPSIbpBE","3Oe9XWJUTD","oRDoc9rAEX","2Wsdkap16l","0kmYd0q39Y","uWAJUKEvyW","nmZMaaE0Q9","tifHPKVTfV","XTarYq4gQB","SVb2v531z1","ZvLB05nZmT","8n5YIzOsVS","t8gj7n24qd"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=7005","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=7005, 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=-8033","layer":3},{"info":"number node, value=2192","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=4615, 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=4613","layer":3},{"info":"compute binary expreesion, left_input=-8033, right_input=4613, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-110563","layer":2},{"info":"number node, value=2117","layer":4},{"info":"number node, value=3244","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=3244, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-92","layer":3},{"info":"number node, value=4183","layer":4},{"info":"compute unary expreesion, input=4183, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=12324","layer":3},{"info":"compute binary expreesion, left_input=-92, right_input=12324, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-51179","layer":2},{"info":"compute binary expreesion, left_input=-110563, right_input=-51179, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-15476","layer":1},{"info":"number node, value=5233","layer":4},{"info":"compute unary expreesion, input=5233, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-415745106","layer":2},{"info":"number node, value=5688","layer":4},{"info":"compute unary expreesion, input=5688, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=182639","layer":3},{"info":"number node, value=6669","layer":4},{"info":"compute unary expreesion, input=6669, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6669","layer":3},{"info":"compute binary expreesion, left_input=182639, right_input=-6669, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=-415745106, right_input=-204, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=415744902","layer":1},{"info":"compute binary expreesion, left_input=-15476, right_input=415744902, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸898⊋≦⊧⫖↰⪸4079)⊝⪿⪼(⫖↰⪸1328⩹⫖↰⪸2807))⨚(⫖↰⪸1285⊹∫⫚⫖↰⪸1A64)⩦(⇐⫖↰⪸2507)⨓((⪝⪂⫅(⨴⫝⫖↰⪸3041))⇼⇔∾((⫖↰⪸3360⫠↝⫳)⫳≱↱(-⫖↰⪸3A39)))=NaN","reverse_text":"NaN=((⫖↰⪸898⊋≦⊧⫖↰⪸4079)⊝⪿⪼(⫖↰⪸1328⩹⫖↰⪸2807))⨚(⫖↰⪸1285⊹∫⫚⫖↰⪸1A64)⩦(⇐⫖↰⪸2507)⨓((⪝⪂⫅(⨴⫝⫖↰⪸3041))⇼⇔∾((⫖↰⪸3360⫠↝⫳)⫳≱↱(-⫖↰⪸3A39)))","cot":[{"info":"⫖↰⪸898⊋≦⊧⫖↰⪸4079=⫖↰⪸-4795","layer":3},{"info":"⫖↰⪸1328⩹⫖↰⪸2807=⫖↰⪸2805","layer":3},{"info":"⫖↰⪸-4795⊝⪿⪼⫖↰⪸2805=⫖↰⪸-53B97","layer":2},{"info":"⫖↰⪸1285⊹∫⫚⫖↰⪸1A64=⫖↰⪸-78","layer":3},{"info":"⇐⫖↰⪸2507=⫖↰⪸7170","layer":3},{"info":"⫖↰⪸-78⩦⫖↰⪸7170=⫖↰⪸-2574B","layer":2},{"info":"⫖↰⪸-53B97⨚⫖↰⪸-2574B=⫖↰⪸-8B58","layer":1},{"info":"⨴⫝⫖↰⪸3041=⫖↰⪸B44832","layer":3},{"info":"⪝⪂⫅⫖↰⪸B44832=⫖↰⪸-B7295296","layer":2},{"info":"⫖↰⪸3360⫠↝⫳=⫖↰⪸8983B","layer":3},{"info":"-⫖↰⪸3A39=⫖↰⪸-3A39","layer":3},{"info":"⫖↰⪸8983B⫳≱↱⫖↰⪸-3A39=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸-B7295296⇼⇔∾⫖↰⪸-150=⫖↰⪸B7295146","layer":1},{"info":"⫖↰⪸-8B58⨓⫖↰⪸B7295146=NaN","layer":0}]}
{"id":865,"expression_no_base_symbol":"((($1219$⪄$2742$)≦≮≮)⩘($3182$⋳⪒$2241$)↞⋁($2417$⨚$3057$))⩁⩘(($3225$≥⨤⩑$6675$)≌($1330$↳∿⪆$2049$)⇴∐(($5777$∠⫱$4279$)⊦⊿))","expression":"(((⫖↰⪸857⪄⫖↰⪸1706)≦≮≮)⩘(⫖↰⪸1A12⋳⪒⫖↰⪸1369)↞⋁(⫖↰⪸1495⨚⫖↰⪸1929))⩁⩘((⫖↰⪸1A49≥⨤⩑⫖↰⪸3A43)≌(⫖↰⪸92A↳∿⪆⫖↰⪸1229)⇴∐((⫖↰⪸3415∠⫱⫖↰⪸2587)⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2786,"operation_count":13,"complexity_ratio":214.30769230769232,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1219,"base":12},"right_expr":{"type":"numeric_atoms","value":2742,"base":12}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3182,"base":12},"right_expr":{"type":"numeric_atoms","value":2241,"base":12}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2417,"base":12},"right_expr":{"type":"numeric_atoms","value":3057,"base":12}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3225,"base":12},"right_expr":{"type":"numeric_atoms","value":6675,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1330,"base":12},"right_expr":{"type":"numeric_atoms","value":2049,"base":12}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5777,"base":12},"right_expr":{"type":"numeric_atoms","value":4279,"base":12}}}}},"used_operators":["gub5Cegaqo","cHh1gJQ2o6","D4vGDi5EA2","SUmda5xLS4","RqrPlJkxDo","12rbrZMWeM","nREPSIbpBE","HnzytWxmAO","lyWz822IDG","gJLn6v0xnP","Cw4SuJJGHO","14qkJME0vr","QvoQhV0rrE"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=2742, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-187469","layer":3},{"info":"compute unary expreesion, input=-187469, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=562407","layer":2},{"info":"number node, value=3182","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=3182, right_input=2241, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3836","layer":3},{"info":"number node, value=2417","layer":4},{"info":"number node, value=3057","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=3057, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-6460","layer":3},{"info":"compute binary expreesion, left_input=3836, right_input=-6460, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=3836","layer":2},{"info":"compute binary expreesion, left_input=562407, right_input=3836, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=3225","layer":4},{"info":"number node, value=6675","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=6675, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1330","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=2049, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=5777","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=5777, right_input=4279, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3781","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3781, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸857⪄⫖↰⪸1706)≦≮≮)⩘(⫖↰⪸1A12⋳⪒⫖↰⪸1369)↞⋁(⫖↰⪸1495⨚⫖↰⪸1929))⩁⩘((⫖↰⪸1A49≥⨤⩑⫖↰⪸3A43)≌(⫖↰⪸92A↳∿⪆⫖↰⪸1229)⇴∐((⫖↰⪸3415∠⫱⫖↰⪸2587)⊦⊿))=NaN","reverse_text":"NaN=(((⫖↰⪸857⪄⫖↰⪸1706)≦≮≮)⩘(⫖↰⪸1A12⋳⪒⫖↰⪸1369)↞⋁(⫖↰⪸1495⨚⫖↰⪸1929))⩁⩘((⫖↰⪸1A49≥⨤⩑⫖↰⪸3A43)≌(⫖↰⪸92A↳∿⪆⫖↰⪸1229)⇴∐((⫖↰⪸3415∠⫱⫖↰⪸2587)⊦⊿))","cot":[{"info":"⫖↰⪸857⪄⫖↰⪸1706=⫖↰⪸-905A5","layer":3},{"info":"⫖↰⪸-905A5≦≮≮=⫖↰⪸231573","layer":2},{"info":"⫖↰⪸1A12⋳⪒⫖↰⪸1369=⫖↰⪸2278","layer":3},{"info":"⫖↰⪸1495⨚⫖↰⪸1929=⫖↰⪸-38A4","layer":3},{"info":"⫖↰⪸2278↞⋁⫖↰⪸-38A4=⫖↰⪸2278","layer":2},{"info":"⫖↰⪸231573⩘⫖↰⪸2278=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1A49≥⨤⩑⫖↰⪸3A43=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸92A↳∿⪆⫖↰⪸1229=NaN","layer":3},{"info":"⫖↰⪸86A≌NaN=NaN","layer":2},{"info":"⫖↰⪸3415∠⫱⫖↰⪸2587=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸86A⊦⊿=⫖↰⪸-2231","layer":2},{"info":"NaN⇴∐⫖↰⪸-2231=NaN","layer":1},{"info":"⫖↰⪸114⩁⩘NaN=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"∨∊⋏((⩩($3472$↦))⊲⩕⊾(↘$3227$)⫣⪄⊒(⇖⫷⫕$1752$))","expression":"∨∊⋏((⩩(⫖↰⪸2014↦))⊲⩕⊾(↘⫖↰⪸1A4B)⫣⪄⊒(⇖⫷⫕⫖↰⪸1020))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":229722,"operation_count":7,"complexity_ratio":32817.42857142857,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":3472,"base":12}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3227,"base":12}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1752,"base":12}}}}},"used_operators":["R5aXW34M0v","DmTXOeWf9t","kMhfGuqI2H","fFznvYxMfW","RabNbG55vr","LdNpr8hQHL","UHmRx3INFg"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","uFcxV4UQCh","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3472","layer":4},{"info":"compute unary expreesion, input=3472, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=3227","layer":4},{"info":"compute unary expreesion, input=3227, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=91","layer":3},{"info":"number node, value=1752","layer":4},{"info":"compute unary expreesion, input=1752, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=91, right_input=2822, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-17262","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17262, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∨∊⋏((⩩(⫖↰⪸2014↦))⊲⩕⊾(↘⫖↰⪸1A4B)⫣⪄⊒(⇖⫷⫕⫖↰⪸1020))=NaN","reverse_text":"NaN=∨∊⋏((⩩(⫖↰⪸2014↦))⊲⩕⊾(↘⫖↰⪸1A4B)⫣⪄⊒(⇖⫷⫕⫖↰⪸1020))","cot":[{"info":"⫖↰⪸2014↦=NaN","layer":3},{"info":"⩩NaN=NaN","layer":2},{"info":"↘⫖↰⪸1A4B=⫖↰⪸77","layer":3},{"info":"⇖⫷⫕⫖↰⪸1020=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸77⫣⪄⊒⫖↰⪸1772=⫖↰⪸-9BA6","layer":2},{"info":"NaN⊲⩕⊾⫖↰⪸-9BA6=NaN","layer":1},{"info":"∨∊⋏NaN=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"((∮$1018$)⨐⩸⫘$2160$⨂≜$1630$)⨜⨶($7139$⪍↜⋙$2399$⋅⇍$2479$≭$8165$)⨓(($8478$⨽$8317$)⫗⊷⫓($5647$⊋$7830$)⋾⨃∁($1472$≧⫂∧$1106$)⪔⊥($1004$⊾⪯⋞$1585$))","expression":"((∮⫖↰⪸70A)⨐⩸⫘⫖↰⪸1300⨂≜⫖↰⪸B3A)⨜⨶(⫖↰⪸416B⪍↜⋙⫖↰⪸147B⋅⇍⫖↰⪸1527≭⫖↰⪸4885)⨓((⫖↰⪸4AA6⨽⫖↰⪸4991)⫗⊷⫓(⫖↰⪸3327⊋⫖↰⪸4646)⋾⨃∁(⫖↰⪸A28≧⫂∧⫖↰⪸782)⪔⊥(⫖↰⪸6B8⊾⪯⋞⫖↰⪸B01))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":106157,"operation_count":15,"complexity_ratio":7077.133333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1018,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2160,"base":12},"right_expr":{"type":"numeric_atoms","value":1630,"base":12}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":7139,"base":12},"right_expr":{"type":"numeric_atoms","value":2399,"base":12}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2479,"base":12},"right_expr":{"type":"numeric_atoms","value":8165,"base":12}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8478,"base":12},"right_expr":{"type":"numeric_atoms","value":8317,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5647,"base":12},"right_expr":{"type":"numeric_atoms","value":7830,"base":12}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1472,"base":12},"right_expr":{"type":"numeric_atoms","value":1106,"base":12}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":1585,"base":12}}}}},"used_operators":["3ViojmjbAp","HiPekx5b7W","fu6greOZ01","CqXKPLVYql","k1SHOSEABc","AdZkA7nFnk","L05ObWFQCd","rxpJgHHUmx","212REbPD9h","zashukvMKz","8HhzD0ZcuI","W4tP9CfskL","HJ9erzHUuu","Ph9nP6C5qx","HK0tfVPux8"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","3ViojmjbAp","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","AHs5Up7iyr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=2160","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=1630, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=7139","layer":4},{"info":"number node, value=2399","layer":4},{"info":"compute binary expreesion, left_input=7139, right_input=2399, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=9480","layer":3},{"info":"number node, value=2479","layer":4},{"info":"number node, value=8165","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=8165, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9480, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-10053","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10053, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=8478","layer":4},{"info":"number node, value=8317","layer":4},{"info":"compute binary expreesion, left_input=8478, right_input=8317, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-215653089","layer":3},{"info":"number node, value=5647","layer":4},{"info":"number node, value=7830","layer":4},{"info":"compute binary expreesion, left_input=5647, right_input=7830, 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=-132919424","layer":3},{"info":"compute binary expreesion, left_input=-215653089, right_input=-132919424, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1472","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=1106, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=633","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1585, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2744","layer":3},{"info":"compute binary expreesion, left_input=633, right_input=2744, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3155","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-3155, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=99578016","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=99578016, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∮⫖↰⪸70A)⨐⩸⫘⫖↰⪸1300⨂≜⫖↰⪸B3A)⨜⨶(⫖↰⪸416B⪍↜⋙⫖↰⪸147B⋅⇍⫖↰⪸1527≭⫖↰⪸4885)⨓((⫖↰⪸4AA6⨽⫖↰⪸4991)⫗⊷⫓(⫖↰⪸3327⊋⫖↰⪸4646)⋾⨃∁(⫖↰⪸A28≧⫂∧⫖↰⪸782)⪔⊥(⫖↰⪸6B8⊾⪯⋞⫖↰⪸B01))=NaN","reverse_text":"NaN=((∮⫖↰⪸70A)⨐⩸⫘⫖↰⪸1300⨂≜⫖↰⪸B3A)⨜⨶(⫖↰⪸416B⪍↜⋙⫖↰⪸147B⋅⇍⫖↰⪸1527≭⫖↰⪸4885)⨓((⫖↰⪸4AA6⨽⫖↰⪸4991)⫗⊷⫓(⫖↰⪸3327⊋⫖↰⪸4646)⋾⨃∁(⫖↰⪸A28≧⫂∧⫖↰⪸782)⪔⊥(⫖↰⪸6B8⊾⪯⋞⫖↰⪸B01))","cot":[{"info":"∮⫖↰⪸70A=⫖↰⪸57","layer":3},{"info":"⫖↰⪸1300⨂≜⫖↰⪸B3A=NaN","layer":3},{"info":"⫖↰⪸57⨐⩸⫘NaN=NaN","layer":2},{"info":"⫖↰⪸416B⪍↜⋙⫖↰⪸147B=⫖↰⪸55A0","layer":3},{"info":"⫖↰⪸1527≭⫖↰⪸4885=NaN","layer":3},{"info":"⫖↰⪸55A0⋅⇍NaN=⫖↰⪸-5999","layer":2},{"info":"NaN⨜⨶⫖↰⪸-5999=NaN","layer":1},{"info":"⫖↰⪸4AA6⨽⫖↰⪸4991=⫖↰⪸-6027B2A9","layer":3},{"info":"⫖↰⪸3327⊋⫖↰⪸4646=⫖↰⪸-38620B68","layer":3},{"info":"⫖↰⪸-6027B2A9⫗⊷⫓⫖↰⪸-38620B68=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸A28≧⫂∧⫖↰⪸782=⫖↰⪸449","layer":3},{"info":"⫖↰⪸6B8⊾⪯⋞⫖↰⪸B01=⫖↰⪸1708","layer":3},{"info":"⫖↰⪸449⪔⊥⫖↰⪸1708=⫖↰⪸-19AB","layer":2},{"info":"⫖↰⪸-B2⋾⨃∁⫖↰⪸-19AB=⫖↰⪸29422200","layer":1},{"info":"NaN⨓⫖↰⪸29422200=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"($2892$⫁$6166$⪚($1421$⫳≱↱$4895$))⨥⫆($2065$⋾⨃∁$2063$≥⨤⩑$1862$⇄$5500$)⇯⋐","expression":"(⫖↰⪸1810⫁⫖↰⪸369A⪚(⫖↰⪸9A5⫳≱↱⫖↰⪸29BB))⨥⫆(⫖↰⪸1241⋾⨃∁⫖↰⪸123B≥⨤⩑⫖↰⪸10B2⇄⫖↰⪸3224)⇯⋐","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2564,"operation_count":8,"complexity_ratio":320.5,"tree":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2892,"base":12},"right_expr":{"type":"numeric_atoms","value":6166,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1421,"base":12},"right_expr":{"type":"numeric_atoms","value":4895,"base":12}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2065,"base":12},"right_expr":{"type":"numeric_atoms","value":2063,"base":12}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1862,"base":12},"right_expr":{"type":"numeric_atoms","value":5500,"base":12}}}}},"used_operators":["LkLIoiE525","yXekIHxTD4","HrjLwUk87U","0ajvFaJAv0","ZvLB05nZmT","gJLn6v0xnP","212REbPD9h","3EYGwJThht"],"dependent_operators":["P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","cHh1gJQ2o6","AHs5Up7iyr","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⫖↰⪸612","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2892","layer":4},{"info":"number node, value=6166","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=6166, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1421","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=4895, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-204, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=372","layer":2},{"info":"number node, value=2065","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=2063, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=42534840","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=5500","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=5500, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=42534840, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=372, right_input=1234, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=878","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1810⫁⫖↰⪸369A⪚(⫖↰⪸9A5⫳≱↱⫖↰⪸29BB))⨥⫆(⫖↰⪸1241⋾⨃∁⫖↰⪸123B≥⨤⩑⫖↰⪸10B2⇄⫖↰⪸3224)⇯⋐=⫖↰⪸612","reverse_text":"⫖↰⪸612=(⫖↰⪸1810⫁⫖↰⪸369A⪚(⫖↰⪸9A5⫳≱↱⫖↰⪸29BB))⨥⫆(⫖↰⪸1241⋾⨃∁⫖↰⪸123B≥⨤⩑⫖↰⪸10B2⇄⫖↰⪸3224)⇯⋐","cot":[{"info":"⫖↰⪸1810⫁⫖↰⪸369A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸9A5⫳≱↱⫖↰⪸29BB=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸114⪚⫖↰⪸-150=⫖↰⪸270","layer":2},{"info":"⫖↰⪸1241⋾⨃∁⫖↰⪸123B=⫖↰⪸122B30A0","layer":3},{"info":"⫖↰⪸10B2⇄⫖↰⪸3224=⫖↰⪸0","layer":3},{"info":"⫖↰⪸122B30A0≥⨤⩑⫖↰⪸0=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸270⨥⫆⫖↰⪸86A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⇯⋐=⫖↰⪸612","layer":0}]}
{"id":869,"expression_no_base_symbol":"(($1816$≄⊠$5309$)↢(⩷⨜⫀$2836$)⫌⩉⩟(⩷⨜⫀$1332$)⨿($3890$∌$1727$))⩱","expression":"((⫖↰⪸1074≄⊠⫖↰⪸30A5)↢(⩷⨜⫀⫖↰⪸1784)⫌⩉⩟(⩷⨜⫀⫖↰⪸930)⨿(⫖↰⪸2302∌⫖↰⪸BBB))⩱","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10220,"operation_count":8,"complexity_ratio":1277.5,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1816,"base":12},"right_expr":{"type":"numeric_atoms","value":5309,"base":12}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2836,"base":12}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1332,"base":12}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3890,"base":12},"right_expr":{"type":"numeric_atoms","value":1727,"base":12}}}}},"used_operators":["uyq1hVkAcj","XIIwhv8d0m","WR6HLWljOP","vXNesLlMH1","CDi0ktkjQ4","abYXlopdE0","8cLx32lpNA"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⫖↰⪸42","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1816","layer":4},{"info":"number node, value=5309","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=5309, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=89612","layer":3},{"info":"number node, value=2836","layer":4},{"info":"compute unary expreesion, input=2836, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2563","layer":3},{"info":"compute binary expreesion, left_input=89612, right_input=-2563, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=89128","layer":2},{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1059","layer":3},{"info":"number node, value=3890","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=3890, right_input=1727, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1727","layer":3},{"info":"compute binary expreesion, left_input=-1059, right_input=-1727, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=89128, right_input=67, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=50","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1074≄⊠⫖↰⪸30A5)↢(⩷⨜⫀⫖↰⪸1784)⫌⩉⩟(⩷⨜⫀⫖↰⪸930)⨿(⫖↰⪸2302∌⫖↰⪸BBB))⩱=⫖↰⪸42","reverse_text":"⫖↰⪸42=((⫖↰⪸1074≄⊠⫖↰⪸30A5)↢(⩷⨜⫀⫖↰⪸1784)⫌⩉⩟(⩷⨜⫀⫖↰⪸930)⨿(⫖↰⪸2302∌⫖↰⪸BBB))⩱","cot":[{"info":"⫖↰⪸1074≄⊠⫖↰⪸30A5=⫖↰⪸43A38","layer":3},{"info":"⩷⨜⫀⫖↰⪸1784=⫖↰⪸-1597","layer":3},{"info":"⫖↰⪸43A38↢⫖↰⪸-1597=⫖↰⪸436B4","layer":2},{"info":"⩷⨜⫀⫖↰⪸930=⫖↰⪸-743","layer":3},{"info":"⫖↰⪸2302∌⫖↰⪸BBB=⫖↰⪸-BBB","layer":3},{"info":"⫖↰⪸-743⨿⫖↰⪸-BBB=⫖↰⪸57","layer":2},{"info":"⫖↰⪸436B4⫌⩉⩟⫖↰⪸57=⫖↰⪸-42","layer":1},{"info":"⫖↰⪸-42⩱=⫖↰⪸42","layer":0}]}
{"id":870,"expression_no_base_symbol":"(((⪲⇎$6292$)⇋≉)⪃⊛⇣($6745$∺≝⩲$1404$⊬⫿⊭))⪃⊛⇣(($2999$⫲≸⪮$6910$)∋($2095$⨻⩈⩔$7470$)⪛($8727$∠↢$1454$⪨≂(≘$4592$)))","expression":"(((⪲⇎⫖↰⪸3784)⇋≉)⪃⊛⇣(⫖↰⪸3AA1∺≝⩲⫖↰⪸990⊬⫿⊭))⪃⊛⇣((⫖↰⪸189B⫲≸⪮⫖↰⪸3BBA)∋(⫖↰⪸1267⨻⩈⩔⫖↰⪸43A6)⪛(⫖↰⪸5073∠↢⫖↰⪸A12⪨≂(≘⫖↰⪸27A8)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4618,"operation_count":13,"complexity_ratio":355.2307692307692,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6292,"base":12}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6745,"base":12},"right_expr":{"type":"numeric_atoms","value":1404,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2999,"base":12},"right_expr":{"type":"numeric_atoms","value":6910,"base":12}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2095,"base":12},"right_expr":{"type":"numeric_atoms","value":7470,"base":12}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":8727,"base":12},"right_expr":{"type":"numeric_atoms","value":1454,"base":12}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4592,"base":12}}}}},"used_operators":["rrgAzCduG9","XIabStNQrY","XPYlsWDdGa","v0DYgG9ikt","KPf6cnQVty","uFcxV4UQCh","ukq6epAj5P","P3lXMJvFrc","nEsXyWgiOK","sdazOOVcIp","KbjG8mgYpV","tcjXMdvYtA"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⫖↰⪸86A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6292","layer":4},{"info":"compute unary expreesion, input=6292, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12584","layer":3},{"info":"compute unary expreesion, input=12584, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=25070","layer":2},{"info":"number node, value=6745","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=6745, right_input=1404, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=25070, right_input=-480, 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=2999","layer":4},{"info":"number node, value=6910","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=6910, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2999","layer":3},{"info":"number node, value=2095","layer":4},{"info":"number node, value=7470","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=7470, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=8359","layer":3},{"info":"compute binary expreesion, left_input=2999, right_input=8359, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=17422124","layer":2},{"info":"number node, value=8727","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=8727, right_input=1454, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-54182","layer":3},{"info":"number node, value=4592","layer":4},{"info":"compute unary expreesion, input=4592, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10126144","layer":3},{"info":"compute binary expreesion, left_input=-54182, right_input=10126144, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-20360550","layer":2},{"info":"compute binary expreesion, left_input=17422124, right_input=-20360550, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2938426","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-2938426, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":12,"result_base":12,"text":"(((⪲⇎⫖↰⪸3784)⇋≉)⪃⊛⇣(⫖↰⪸3AA1∺≝⩲⫖↰⪸990⊬⫿⊭))⪃⊛⇣((⫖↰⪸189B⫲≸⪮⫖↰⪸3BBA)∋(⫖↰⪸1267⨻⩈⩔⫖↰⪸43A6)⪛(⫖↰⪸5073∠↢⫖↰⪸A12⪨≂(≘⫖↰⪸27A8)))=⫖↰⪸86A","reverse_text":"⫖↰⪸86A=(((⪲⇎⫖↰⪸3784)⇋≉)⪃⊛⇣(⫖↰⪸3AA1∺≝⩲⫖↰⪸990⊬⫿⊭))⪃⊛⇣((⫖↰⪸189B⫲≸⪮⫖↰⪸3BBA)∋(⫖↰⪸1267⨻⩈⩔⫖↰⪸43A6)⪛(⫖↰⪸5073∠↢⫖↰⪸A12⪨≂(≘⫖↰⪸27A8)))","cot":[{"info":"⪲⇎⫖↰⪸3784=⫖↰⪸7348","layer":3},{"info":"⫖↰⪸7348⇋≉=⫖↰⪸12612","layer":2},{"info":"⫖↰⪸3AA1∺≝⩲⫖↰⪸990=⫖↰⪸114","layer":3},{"info":"⫖↰⪸114⊬⫿⊭=⫖↰⪸-340","layer":2},{"info":"⫖↰⪸12612⪃⊛⇣⫖↰⪸-340=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸189B⫲≸⪮⫖↰⪸3BBA=⫖↰⪸189B","layer":3},{"info":"⫖↰⪸1267⨻⩈⩔⫖↰⪸43A6=⫖↰⪸4A07","layer":3},{"info":"⫖↰⪸189B∋⫖↰⪸4A07=⫖↰⪸5A022B8","layer":2},{"info":"⫖↰⪸5073∠↢⫖↰⪸A12=⫖↰⪸-27432","layer":3},{"info":"≘⫖↰⪸27A8=⫖↰⪸3484054","layer":3},{"info":"⫖↰⪸-27432⪨≂⫖↰⪸3484054=⫖↰⪸-699A886","layer":2},{"info":"⫖↰⪸5A022B8⪛⫖↰⪸-699A886=⫖↰⪸-B9858A","layer":1},{"info":"⫖↰⪸86A⪃⊛⇣⫖↰⪸-B9858A=⫖↰⪸86A","layer":0}]}
{"id":871,"expression_no_base_symbol":"⨈⫕(($1535$⨵⪆$4737$)→⨶⪴($7399$↡⊰⫅$3010$)⋘⨑⨽)","expression":"⨈⫕((⫖↰⪸A7B⨵⪆⫖↰⪸28A9)→⨶⪴(⫖↰⪸4347↡⊰⫅⫖↰⪸18AA)⋘⨑⨽)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":42559,"operation_count":5,"complexity_ratio":8511.8,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1535,"base":12},"right_expr":{"type":"numeric_atoms","value":4737,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":7399,"base":12},"right_expr":{"type":"numeric_atoms","value":3010,"base":12}}}}},"used_operators":["megm06wKyl","WmT3o8z6ya","bF6eod5Gvf","2DQ55sFlQl","VCtxkLNOzz"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1535","layer":4},{"info":"number node, value=4737","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=4737, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7399","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=7399, right_input=3010, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6020","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6020, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-18060","layer":2},{"info":"compute unary expreesion, input=-18060, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-89517","layer":1},{"info":"compute unary expreesion, input=-89517, 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":12,"result_base":12,"text":"⨈⫕((⫖↰⪸A7B⨵⪆⫖↰⪸28A9)→⨶⪴(⫖↰⪸4347↡⊰⫅⫖↰⪸18AA)⋘⨑⨽)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕((⫖↰⪸A7B⨵⪆⫖↰⪸28A9)→⨶⪴(⫖↰⪸4347↡⊰⫅⫖↰⪸18AA)⋘⨑⨽)","cot":[{"info":"⫖↰⪸A7B⨵⪆⫖↰⪸28A9=⫖↰⪸114","layer":3},{"info":"⫖↰⪸4347↡⊰⫅⫖↰⪸18AA=⫖↰⪸3598","layer":3},{"info":"⫖↰⪸114→⨶⪴⫖↰⪸3598=⫖↰⪸-A550","layer":2},{"info":"⫖↰⪸-A550⋘⨑⨽=⫖↰⪸-43979","layer":1},{"info":"⨈⫕⫖↰⪸-43979=⫖↰⪸-19","layer":0}]}
{"id":872,"expression_no_base_symbol":"(+⊝⨔$4505$)↞⋁(≸≮$2056$)≦↸((⪓⩚$2234$)∪⫐$3812$≦↸$3201$)⪭≯($4015$∑⇟⊟$3532$⫢⨠$1541$⋹⋡⊁$5026$)≚⊃≕((⫶⊄≣$6738$)↸$3597$⊱⇼⊻$1795$)","expression":"(+⊝⨔⫖↰⪸2735)↞⋁(≸≮⫖↰⪸1234)≦↸((⪓⩚⫖↰⪸1362)∪⫐⫖↰⪸2258≦↸⫖↰⪸1A29)⪭≯(⫖↰⪸23A7∑⇟⊟⫖↰⪸2064⫢⨠⫖↰⪸A85⋹⋡⊁⫖↰⪸2AAA)≚⊃≕((⫶⊄≣⫖↰⪸3A96)↸⫖↰⪸20B9⊱⇼⊻⫖↰⪸1057)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":83556,"operation_count":15,"complexity_ratio":5570.4,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4505,"base":12}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2056,"base":12}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2234,"base":12}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3812,"base":12},"right_expr":{"type":"numeric_atoms","value":3201,"base":12}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4015,"base":12},"right_expr":{"type":"numeric_atoms","value":3532,"base":12}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1541,"base":12},"right_expr":{"type":"numeric_atoms","value":5026,"base":12}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":6738,"base":12}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3597,"base":12},"right_expr":{"type":"numeric_atoms","value":1795,"base":12}}}}},"used_operators":["XAx5wpdLa6","RygbFNSyEJ","RqrPlJkxDo","DhbWaqg5eL","AljMvE3RRm","7YooWSwCyH","u0R0Locfp2","Bmrmz2XGnR","xlXykHWxX1","U7g4x0WXJJ","As8RqfVLgs","1eCjFl0mb9","wxb3vTeyAj","FyVja0WsTP"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rJVOvQCfKK","2DDjHMKMc0","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4505","layer":4},{"info":"compute unary expreesion, input=4505, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=2234","layer":4},{"info":"compute unary expreesion, input=2234, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=3812","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=3812, right_input=3201, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13345","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-13345, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=426","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=426, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=4015","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=4015, right_input=3532, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=5026","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=5026, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5776","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5776, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=6738","layer":4},{"info":"compute unary expreesion, input=6738, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=817329565","layer":3},{"info":"number node, value=3597","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=3597, right_input=1795, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=817329565, right_input=434, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=817329565","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=817329565, 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=nan, right_input=67, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(+⊝⨔⫖↰⪸2735)↞⋁(≸≮⫖↰⪸1234)≦↸((⪓⩚⫖↰⪸1362)∪⫐⫖↰⪸2258≦↸⫖↰⪸1A29)⪭≯(⫖↰⪸23A7∑⇟⊟⫖↰⪸2064⫢⨠⫖↰⪸A85⋹⋡⊁⫖↰⪸2AAA)≚⊃≕((⫶⊄≣⫖↰⪸3A96)↸⫖↰⪸20B9⊱⇼⊻⫖↰⪸1057)=NaN","reverse_text":"NaN=(+⊝⨔⫖↰⪸2735)↞⋁(≸≮⫖↰⪸1234)≦↸((⪓⩚⫖↰⪸1362)∪⫐⫖↰⪸2258≦↸⫖↰⪸1A29)⪭≯(⫖↰⪸23A7∑⇟⊟⫖↰⪸2064⫢⨠⫖↰⪸A85⋹⋡⊁⫖↰⪸2AAA)≚⊃≕((⫶⊄≣⫖↰⪸3A96)↸⫖↰⪸20B9⊱⇼⊻⫖↰⪸1057)","cot":[{"info":"+⊝⨔⫖↰⪸2735=⫖↰⪸A6A","layer":3},{"info":"≸≮⫖↰⪸1234=NaN","layer":3},{"info":"⫖↰⪸A6A↞⋁NaN=NaN","layer":2},{"info":"⪓⩚⫖↰⪸1362=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸2258≦↸⫖↰⪸1A29=⫖↰⪸-7881","layer":3},{"info":"⫖↰⪸2B6∪⫐⫖↰⪸-7881=⫖↰⪸2B6","layer":2},{"info":"NaN≦↸⫖↰⪸2B6=NaN","layer":1},{"info":"⫖↰⪸23A7∑⇟⊟⫖↰⪸2064=NaN","layer":3},{"info":"⫖↰⪸A85⋹⋡⊁⫖↰⪸2AAA=⫖↰⪸3414","layer":3},{"info":"NaN⫢⨠⫖↰⪸3414=NaN","layer":2},{"info":"⫶⊄≣⫖↰⪸3A96=⫖↰⪸1A987B791","layer":3},{"info":"⫖↰⪸20B9⊱⇼⊻⫖↰⪸1057=⫖↰⪸302","layer":3},{"info":"⫖↰⪸1A987B791↸⫖↰⪸302=⫖↰⪸1A987B791","layer":2},{"info":"NaN≚⊃≕⫖↰⪸1A987B791=⫖↰⪸57","layer":1},{"info":"NaN⪭≯⫖↰⪸57=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"(($1455$∝$3415$)⪓⨏)⨽∌(⪫⨮⊛$2029$)≎⪠($6813$⩌⋺$6701$)∖(⊄⩳↩$2095$⋛$4350$)∓⋝($1240$⪛$5058$⩹(⊄⩳↩$1956$))","expression":"((⫖↰⪸A13∝⫖↰⪸1B87)⪓⨏)⨽∌(⪫⨮⊛⫖↰⪸1211)≎⪠(⫖↰⪸3B39⩌⋺⫖↰⪸3A65)∖(⊄⩳↩⫖↰⪸1267⋛⫖↰⪸2626)∓⋝(⫖↰⪸874⪛⫖↰⪸2B16⩹(⊄⩳↩⫖↰⪸1170))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1240358,"operation_count":13,"complexity_ratio":95412.15384615384,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1455,"base":12},"right_expr":{"type":"numeric_atoms","value":3415,"base":12}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2029,"base":12}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6813,"base":12},"right_expr":{"type":"numeric_atoms","value":6701,"base":12}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2095,"base":12},"right_expr":{"type":"numeric_atoms","value":4350,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1240,"base":12},"right_expr":{"type":"numeric_atoms","value":5058,"base":12}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1956,"base":12}}}}},"used_operators":["tXD093vOjl","9samAPKr6k","4X9JU4Jbn6","cTDWOvIxvz","aNhz54LH3e","w5FWba1tyO","g7Hmc5v1ko","PoHhknlbAi","8w2t5hMYqp","YbUVn0Rbpy","2Wsdkap16l","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1455","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=3415, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1460","layer":3},{"info":"compute unary expreesion, input=1460, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=2029","layer":4},{"info":"compute unary expreesion, input=2029, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=6813","layer":4},{"info":"number node, value=6701","layer":4},{"info":"compute binary expreesion, left_input=6813, right_input=6701, 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=-13635","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13635, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=2095","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=4350, 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=-113337","layer":3},{"info":"compute unary expreesion, input=-113337, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=340011","layer":2},{"info":"number node, value=1240","layer":4},{"info":"number node, value=5058","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=5058, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1240","layer":3},{"info":"number node, value=1956","layer":4},{"info":"compute unary expreesion, input=1956, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5868","layer":3},{"info":"compute binary expreesion, left_input=1240, right_input=-5868, 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=-5870","layer":2},{"info":"compute binary expreesion, left_input=340011, right_input=-5870, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸A13∝⫖↰⪸1B87)⪓⨏)⨽∌(⪫⨮⊛⫖↰⪸1211)≎⪠(⫖↰⪸3B39⩌⋺⫖↰⪸3A65)∖(⊄⩳↩⫖↰⪸1267⋛⫖↰⪸2626)∓⋝(⫖↰⪸874⪛⫖↰⪸2B16⩹(⊄⩳↩⫖↰⪸1170))=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⫖↰⪸A13∝⫖↰⪸1B87)⪓⨏)⨽∌(⪫⨮⊛⫖↰⪸1211)≎⪠(⫖↰⪸3B39⩌⋺⫖↰⪸3A65)∖(⊄⩳↩⫖↰⪸1267⋛⫖↰⪸2626)∓⋝(⫖↰⪸874⪛⫖↰⪸2B16⩹(⊄⩳↩⫖↰⪸1170))","cot":[{"info":"⫖↰⪸A13∝⫖↰⪸1B87=⫖↰⪸A18","layer":3},{"info":"⫖↰⪸A18⪓⨏=NaN","layer":2},{"info":"⪫⨮⊛⫖↰⪸1211=NaN","layer":3},{"info":"⫖↰⪸3B39⩌⋺⫖↰⪸3A65=⫖↰⪸-7A83","layer":3},{"info":"NaN≎⪠⫖↰⪸-7A83=⫖↰⪸B39A","layer":2},{"info":"NaN⨽∌⫖↰⪸B39A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1267⋛⫖↰⪸2626=⫖↰⪸-55709","layer":3},{"info":"⊄⩳↩⫖↰⪸-55709=⫖↰⪸144923","layer":2},{"info":"⫖↰⪸874⪛⫖↰⪸2B16=⫖↰⪸874","layer":3},{"info":"⊄⩳↩⫖↰⪸1170=⫖↰⪸-3490","layer":3},{"info":"⫖↰⪸874⩹⫖↰⪸-3490=⫖↰⪸-3492","layer":2},{"info":"⫖↰⪸144923∓⋝⫖↰⪸-3492=⫖↰⪸57","layer":1},{"info":"⫖↰⪸0∖⫖↰⪸57=⫖↰⪸0","layer":0}]}
{"id":874,"expression_no_base_symbol":"(($3701$∠↢$2295$)⇷$4636$≹⇙⪍$1068$⨰($7357$∌$1060$)⨔⇊($6627$⩧⪆$1135$))⇡⇂((⋃($3106$⊓⋫))⫒⫫($3238$⫔⩽⩺$3210$)⨔⇊($5319$↑))","expression":"((⫖↰⪸2185∠↢⫖↰⪸13B3)⇷⫖↰⪸2824≹⇙⪍⫖↰⪸750⨰(⫖↰⪸4311∌⫖↰⪸744)⨔⇊(⫖↰⪸3A03⩧⪆⫖↰⪸7A7))⇡⇂((⋃(⫖↰⪸196A⊓⋫))⫒⫫(⫖↰⪸1A5A⫔⩽⩺⫖↰⪸1A36)⨔⇊(⫖↰⪸30B3↑))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":851701,"operation_count":14,"complexity_ratio":60835.78571428572,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3701,"base":12},"right_expr":{"type":"numeric_atoms","value":2295,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4636,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":7357,"base":12},"right_expr":{"type":"numeric_atoms","value":1060,"base":12}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6627,"base":12},"right_expr":{"type":"numeric_atoms","value":1135,"base":12}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":3106,"base":12}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3238,"base":12},"right_expr":{"type":"numeric_atoms","value":3210,"base":12}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":5319,"base":12}}}}},"used_operators":["UMwdvZNt44","eewbuw0ToL","mp7IySMOzn","KbjG8mgYpV","AHs5Up7iyr","JclMnS0uGI","8cLx32lpNA","Ikt5ks8PT7","6Ko8hGgeMq","3mBM5G4a3l","IqGBaFP0uj","i9eR4S00cU","BThhyOhh10"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","g55IO6H4Gj","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","Tw270M8GLb","fu6greOZ01","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3701","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=2295, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-45852","layer":3},{"info":"number node, value=4636","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=4636, right_input=1068, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-45852, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=7357","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=7357, right_input=1060, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1060","layer":3},{"info":"number node, value=6627","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=6627, right_input=1135, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1135","layer":3},{"info":"compute binary expreesion, left_input=-1060, right_input=-1135, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-1699","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1699, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3106","layer":4},{"info":"compute unary expreesion, input=3106, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3234","layer":3},{"info":"compute unary expreesion, input=-3234, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-6366","layer":2},{"info":"number node, value=3238","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=3210, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=5319","layer":4},{"info":"compute unary expreesion, input=5319, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=222","layer":2},{"info":"compute binary expreesion, left_input=-6366, right_input=222, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=31422","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=31422, 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":12,"result_base":12,"text":"((⫖↰⪸2185∠↢⫖↰⪸13B3)⇷⫖↰⪸2824≹⇙⪍⫖↰⪸750⨰(⫖↰⪸4311∌⫖↰⪸744)⨔⇊(⫖↰⪸3A03⩧⪆⫖↰⪸7A7))⇡⇂((⋃(⫖↰⪸196A⊓⋫))⫒⫫(⫖↰⪸1A5A⫔⩽⩺⫖↰⪸1A36)⨔⇊(⫖↰⪸30B3↑))=NaN","reverse_text":"NaN=((⫖↰⪸2185∠↢⫖↰⪸13B3)⇷⫖↰⪸2824≹⇙⪍⫖↰⪸750⨰(⫖↰⪸4311∌⫖↰⪸744)⨔⇊(⫖↰⪸3A03⩧⪆⫖↰⪸7A7))⇡⇂((⋃(⫖↰⪸196A⊓⋫))⫒⫫(⫖↰⪸1A5A⫔⩽⩺⫖↰⪸1A36)⨔⇊(⫖↰⪸30B3↑))","cot":[{"info":"⫖↰⪸2185∠↢⫖↰⪸13B3=⫖↰⪸-22650","layer":3},{"info":"⫖↰⪸2824≹⇙⪍⫖↰⪸750=NaN","layer":3},{"info":"⫖↰⪸-22650⇷NaN=NaN","layer":2},{"info":"⫖↰⪸4311∌⫖↰⪸744=⫖↰⪸-744","layer":3},{"info":"⫖↰⪸3A03⩧⪆⫖↰⪸7A7=⫖↰⪸-7A7","layer":3},{"info":"⫖↰⪸-744⨔⇊⫖↰⪸-7A7=⫖↰⪸-B97","layer":2},{"info":"NaN⨰⫖↰⪸-B97=NaN","layer":1},{"info":"⫖↰⪸196A⊓⋫=⫖↰⪸-1A56","layer":3},{"info":"⋃⫖↰⪸-1A56=⫖↰⪸-3826","layer":2},{"info":"⫖↰⪸1A5A⫔⩽⩺⫖↰⪸1A36=NaN","layer":3},{"info":"⫖↰⪸30B3↑=⫖↰⪸166","layer":3},{"info":"NaN⨔⇊⫖↰⪸166=⫖↰⪸166","layer":2},{"info":"⫖↰⪸-3826⫒⫫⫖↰⪸166=⫖↰⪸16226","layer":1},{"info":"NaN⇡⇂⫖↰⪸16226=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"(⇵⪽(($3083$≬⇓$2391$)≎⊠⪸($2190$⪇≇⋚$2202$)))∕⩚(⪓⩚($1702$⩚⊴⇥$3852$))⊱⇼⊻(∟⋨$1466$)⨐($1945$⪥$1067$)","expression":"(⇵⪽((⫖↰⪸194B≬⇓⫖↰⪸1473)≎⊠⪸(⫖↰⪸1326⪇≇⋚⫖↰⪸1336)))∕⩚(⪓⩚(⫖↰⪸B9A⩚⊴⇥⫖↰⪸2290))⊱⇼⊻(∟⋨⫖↰⪸A22)⨐(⫖↰⪸1161⪥⫖↰⪸74B)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4936,"operation_count":11,"complexity_ratio":448.72727272727275,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3083,"base":12},"right_expr":{"type":"numeric_atoms","value":2391,"base":12}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2190,"base":12},"right_expr":{"type":"numeric_atoms","value":2202,"base":12}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1702,"base":12},"right_expr":{"type":"numeric_atoms","value":3852,"base":12}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1466,"base":12}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1945,"base":12},"right_expr":{"type":"numeric_atoms","value":1067,"base":12}}}}},"used_operators":["z9ffQ9n5Zr","ZGCBLdVRRX","bJkvcejdHO","jWTQ2TZYIH","3sJ7IOPOlU","FyVja0WsTP","u0R0Locfp2","NTOWxs364D","Noe24qw2ks","ctOc4cKSDt","QbnwKVWMIQ"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","U7g4x0WXJJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","tmPS8pqC7x","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3083","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=2391, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=2202, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5698","layer":2},{"info":"compute unary expreesion, input=5698, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"number node, value=1702","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=3852, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5675","layer":3},{"info":"compute unary expreesion, input=-5675, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-982","layer":3},{"info":"number node, value=1945","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=1067, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12432","layer":3},{"info":"compute binary expreesion, left_input=-982, right_input=12432, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=1964","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=1964, 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=nan, right_input=434, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⇵⪽((⫖↰⪸194B≬⇓⫖↰⪸1473)≎⊠⪸(⫖↰⪸1326⪇≇⋚⫖↰⪸1336)))∕⩚(⪓⩚(⫖↰⪸B9A⩚⊴⇥⫖↰⪸2290))⊱⇼⊻(∟⋨⫖↰⪸A22)⨐(⫖↰⪸1161⪥⫖↰⪸74B)=NaN","reverse_text":"NaN=(⇵⪽((⫖↰⪸194B≬⇓⫖↰⪸1473)≎⊠⪸(⫖↰⪸1326⪇≇⋚⫖↰⪸1336)))∕⩚(⪓⩚(⫖↰⪸B9A⩚⊴⇥⫖↰⪸2290))⊱⇼⊻(∟⋨⫖↰⪸A22)⨐(⫖↰⪸1161⪥⫖↰⪸74B)","cot":[{"info":"⫖↰⪸194B≬⇓⫖↰⪸1473=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸1326⪇≇⋚⫖↰⪸1336=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1A≎⊠⪸⫖↰⪸0=⫖↰⪸336A","layer":2},{"info":"⇵⪽⫖↰⪸336A=NaN","layer":1},{"info":"⫖↰⪸B9A⩚⊴⇥⫖↰⪸2290=⫖↰⪸-334B","layer":3},{"info":"⪓⩚⫖↰⪸-334B=⫖↰⪸2B6","layer":2},{"info":"∟⋨⫖↰⪸A22=⫖↰⪸-69A","layer":3},{"info":"⫖↰⪸1161⪥⫖↰⪸74B=⫖↰⪸7240","layer":3},{"info":"⫖↰⪸-69A⨐⫖↰⪸7240=⫖↰⪸1178","layer":2},{"info":"⫖↰⪸2B6⊱⇼⊻⫖↰⪸1178=⫖↰⪸302","layer":1},{"info":"NaN∕⩚⫖↰⪸302=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"⊖(∤($1244$⫔⩽⩺$4186$⪁(⇐$5889$)))","expression":"⊖(∤(⫖↰⪸878⫔⩽⩺⫖↰⪸250A⪁(⇐⫖↰⪸34A9)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1003,"operation_count":5,"complexity_ratio":200.6,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1244,"base":12},"right_expr":{"type":"numeric_atoms","value":4186,"base":12}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":5889,"base":12}}}}},"used_operators":["U6pG0PXrV3","k2HlF1dBQh","I7sXao9hZE","i9eR4S00cU","nmZMaaE0Q9"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","Tw270M8GLb","fu6greOZ01","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=4186, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=5889","layer":4},{"info":"compute unary expreesion, input=5889, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=872, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊖(∤(⫖↰⪸878⫔⩽⩺⫖↰⪸250A⪁(⇐⫖↰⪸34A9)))=NaN","reverse_text":"NaN=⊖(∤(⫖↰⪸878⫔⩽⩺⫖↰⪸250A⪁(⇐⫖↰⪸34A9)))","cot":[{"info":"⫖↰⪸878⫔⩽⩺⫖↰⪸250A=NaN","layer":3},{"info":"⇐⫖↰⪸34A9=⫖↰⪸608","layer":3},{"info":"NaN⪁⫖↰⪸608=NaN","layer":2},{"info":"∤NaN=NaN","layer":1},{"info":"⊖NaN=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"($2046$⋥⋵⩄$1018$⫚↹⊑$1103$⊢$1368$)⪢($5859$∌↝$7253$)⪒⊣⊆($1360$⫦⪉$5671$)∠↢(⋠∜($1891$⪪$3171$))⊔($2516$⪡$2496$)⫁⪎($6862$⫥∨⫟$3737$)","expression":"(⫖↰⪸1226⋥⋵⩄⫖↰⪸70A⫚↹⊑⫖↰⪸77B⊢⫖↰⪸960)⪢(⫖↰⪸3483∌↝⫖↰⪸4245)⪒⊣⊆(⫖↰⪸954⫦⪉⫖↰⪸3347)∠↢(⋠∜(⫖↰⪸1117⪪⫖↰⪸1A03))⊔(⫖↰⪸1558⪡⫖↰⪸1540)⫁⪎(⫖↰⪸3B7A⫥∨⫟⫖↰⪸21B5)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10813,"operation_count":14,"complexity_ratio":772.3571428571429,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2046,"base":12},"right_expr":{"type":"numeric_atoms","value":1018,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1103,"base":12},"right_expr":{"type":"numeric_atoms","value":1368,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5859,"base":12},"right_expr":{"type":"numeric_atoms","value":7253,"base":12}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1360,"base":12},"right_expr":{"type":"numeric_atoms","value":5671,"base":12}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1891,"base":12},"right_expr":{"type":"numeric_atoms","value":3171,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2516,"base":12},"right_expr":{"type":"numeric_atoms","value":2496,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6862,"base":12},"right_expr":{"type":"numeric_atoms","value":3737,"base":12}}}}},"used_operators":["KbjG8mgYpV","dWAJyo7jo9","dfKe02y8D2","7t3wd0Fuz7","5twsqlHp2o","eRqsBgTDFp","9Isq31Ruls","wscyQdcy20","E4l6HwMY31","ZJpFhNJr3x","xD69zh8xqp","xRrnTEsQ6j","oraRL2iQuh","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2046","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=1018, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1368, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2450","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-2450, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=5859","layer":4},{"info":"number node, value=7253","layer":4},{"info":"compute binary expreesion, left_input=5859, right_input=7253, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1360","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=5671, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2180","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2180, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4462","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=4462, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1891","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=3171, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-281630","layer":3},{"info":"compute unary expreesion, input=-281630, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-1124236","layer":2},{"info":"number node, value=2516","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=2496, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=6862","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=6862, right_input=3737, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1124236, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1226⋥⋵⩄⫖↰⪸70A⫚↹⊑⫖↰⪸77B⊢⫖↰⪸960)⪢(⫖↰⪸3483∌↝⫖↰⪸4245)⪒⊣⊆(⫖↰⪸954⫦⪉⫖↰⪸3347)∠↢(⋠∜(⫖↰⪸1117⪪⫖↰⪸1A03))⊔(⫖↰⪸1558⪡⫖↰⪸1540)⫁⪎(⫖↰⪸3B7A⫥∨⫟⫖↰⪸21B5)=NaN","reverse_text":"NaN=(⫖↰⪸1226⋥⋵⩄⫖↰⪸70A⫚↹⊑⫖↰⪸77B⊢⫖↰⪸960)⪢(⫖↰⪸3483∌↝⫖↰⪸4245)⪒⊣⊆(⫖↰⪸954⫦⪉⫖↰⪸3347)∠↢(⋠∜(⫖↰⪸1117⪪⫖↰⪸1A03))⊔(⫖↰⪸1558⪡⫖↰⪸1540)⫁⪎(⫖↰⪸3B7A⫥∨⫟⫖↰⪸21B5)","cot":[{"info":"⫖↰⪸1226⋥⋵⩄⫖↰⪸70A=⫖↰⪸95","layer":3},{"info":"⫖↰⪸77B⊢⫖↰⪸960=⫖↰⪸-1502","layer":3},{"info":"⫖↰⪸95⫚↹⊑⫖↰⪸-1502=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸3483∌↝⫖↰⪸4245=⫖↰⪸0","layer":3},{"info":"⫖↰⪸954⫦⪉⫖↰⪸3347=⫖↰⪸1318","layer":3},{"info":"⫖↰⪸0⪒⊣⊆⫖↰⪸1318=⫖↰⪸26BA","layer":2},{"info":"⫖↰⪸-313⪢⫖↰⪸26BA=NaN","layer":1},{"info":"⫖↰⪸1117⪪⫖↰⪸1A03=⫖↰⪸-116B92","layer":3},{"info":"⋠∜⫖↰⪸-116B92=⫖↰⪸-462724","layer":2},{"info":"⫖↰⪸1558⪡⫖↰⪸1540=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸3B7A⫥∨⫟⫖↰⪸21B5=NaN","layer":3},{"info":"⫖↰⪸8B⫁⪎NaN=NaN","layer":2},{"info":"⫖↰⪸-462724⊔NaN=NaN","layer":1},{"info":"NaN∠↢NaN=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"(($5431$⨲)↳≱($1719$⩍⋽⫝̸$4685$)∀⊥⇻)⪥(≛(↴⪽⋼$2958$)⋳⪒$1776$≁$1576$)","expression":"((⫖↰⪸3187⨲)↳≱(⫖↰⪸BB3⩍⋽⫝̸⫖↰⪸2865)∀⊥⇻)⪥(≛(↴⪽⋼⫖↰⪸1866)⋳⪒⫖↰⪸1040≁⫖↰⪸AB4)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":823578,"operation_count":9,"complexity_ratio":91508.66666666667,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":5431,"base":12}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1719,"base":12},"right_expr":{"type":"numeric_atoms","value":4685,"base":12}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":2958,"base":12}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1776,"base":12},"right_expr":{"type":"numeric_atoms","value":1576,"base":12}}}}},"used_operators":["QbnwKVWMIQ","k4iM1060OG","JwTKLfZU96","nLYMGWM7L8","BiWNJpBvwn","W7eaUhjymW","12rbrZMWeM","5TUYCnJO6w","8N2wDY1A35"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⫖↰⪸-105A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5431","layer":4},{"info":"compute unary expreesion, input=5431, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=966207181","layer":3},{"info":"number node, value=1719","layer":4},{"info":"number node, value=4685","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=4685, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3739","layer":3},{"info":"compute binary expreesion, left_input=966207181, right_input=3739, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"number node, value=2958","layer":4},{"info":"compute unary expreesion, input=2958, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2958","layer":3},{"info":"number node, value=1776","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=1576, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24623","layer":3},{"info":"compute binary expreesion, left_input=2958, right_input=24623, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-18994","layer":2},{"info":"compute unary expreesion, input=-18994, 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=-38225","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-38225, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3187⨲)↳≱(⫖↰⪸BB3⩍⋽⫝̸⫖↰⪸2865)∀⊥⇻)⪥(≛(↴⪽⋼⫖↰⪸1866)⋳⪒⫖↰⪸1040≁⫖↰⪸AB4)=⫖↰⪸-105A","reverse_text":"⫖↰⪸-105A=((⫖↰⪸3187⨲)↳≱(⫖↰⪸BB3⩍⋽⫝̸⫖↰⪸2865)∀⊥⇻)⪥(≛(↴⪽⋼⫖↰⪸1866)⋳⪒⫖↰⪸1040≁⫖↰⪸AB4)","cot":[{"info":"⫖↰⪸3187⨲=⫖↰⪸22B6B7811","layer":3},{"info":"⫖↰⪸BB3⩍⋽⫝̸⫖↰⪸2865=⫖↰⪸21B7","layer":3},{"info":"⫖↰⪸22B6B7811↳≱⫖↰⪸21B7=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0∀⊥⇻=⫖↰⪸0","layer":1},{"info":"↴⪽⋼⫖↰⪸1866=⫖↰⪸1866","layer":3},{"info":"⫖↰⪸1040≁⫖↰⪸AB4=⫖↰⪸122BB","layer":3},{"info":"⫖↰⪸1866⋳⪒⫖↰⪸122BB=⫖↰⪸-ABAA","layer":2},{"info":"≛⫖↰⪸-ABAA=⫖↰⪸-1A155","layer":1},{"info":"⫖↰⪸0⪥⫖↰⪸-1A155=⫖↰⪸-105A","layer":0}]}
{"id":879,"expression_no_base_symbol":"($3274$⨜⨶$2198$⩠)⨚⇆($5141$↱$2402$)⨥⫆($4505$⪎↠$4400$)≃($3878$⨟⋌⩍$2882$∝$1399$≨$3587$)⫘(⨵≀≌$1795$)∥⊢⊲($5308$⩺⪪$5732$)","expression":"(⫖↰⪸1A8A⨜⨶⫖↰⪸1332⩠)⨚⇆(⫖↰⪸2B85↱⫖↰⪸1482)⨥⫆(⫖↰⪸2735⪎↠⫖↰⪸2668)≃(⫖↰⪸22B2⨟⋌⩍⫖↰⪸1802∝⫖↰⪸987≨⫖↰⪸20AB)⫘(⨵≀≌⫖↰⪸1057)∥⊢⊲(⫖↰⪸30A4⩺⪪⫖↰⪸3398)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":117815,"operation_count":14,"complexity_ratio":8415.357142857143,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3274,"base":12},"right_expr":{"type":"numeric_atoms","value":2198,"base":12}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5141,"base":12},"right_expr":{"type":"numeric_atoms","value":2402,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4505,"base":12},"right_expr":{"type":"numeric_atoms","value":4400,"base":12}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3878,"base":12},"right_expr":{"type":"numeric_atoms","value":2882,"base":12}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1399,"base":12},"right_expr":{"type":"numeric_atoms","value":3587,"base":12}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1795,"base":12}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5308,"base":12},"right_expr":{"type":"numeric_atoms","value":5732,"base":12}}}}},"used_operators":["YbVcJGFEVW","lwHaAYXP2r","sJAwomhLZr","HiPekx5b7W","yXekIHxTD4","SR5kFfdi6N","3tVxb0NHM4","48vC8HMD2b","cTDWOvIxvz","rGHVDoGpnC","0KMCeP1Jsh","v1UQAVDJRr","srAu1WTS94","uvdQJvN4PV"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","Tcnh7f0tEr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","EBcxylXtPf","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3274","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=2198, 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=-4140","layer":3},{"info":"compute unary expreesion, input=-4140, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=16769","layer":2},{"info":"number node, value=5141","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=5141, right_input=2402, 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=-6684","layer":3},{"info":"number node, value=4505","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=4505, right_input=4400, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6684, right_input=160, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=16769, right_input=-1, 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=3878","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=2882, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=3587","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=3587, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-11514","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11514, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=1795","layer":4},{"info":"compute unary expreesion, input=1795, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5385","layer":3},{"info":"number node, value=5308","layer":4},{"info":"number node, value=5732","layer":4},{"info":"compute binary expreesion, left_input=5308, right_input=5732, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=-5385, right_input=-1818, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute 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":12,"result_base":12,"text":"(⫖↰⪸1A8A⨜⨶⫖↰⪸1332⩠)⨚⇆(⫖↰⪸2B85↱⫖↰⪸1482)⨥⫆(⫖↰⪸2735⪎↠⫖↰⪸2668)≃(⫖↰⪸22B2⨟⋌⩍⫖↰⪸1802∝⫖↰⪸987≨⫖↰⪸20AB)⫘(⨵≀≌⫖↰⪸1057)∥⊢⊲(⫖↰⪸30A4⩺⪪⫖↰⪸3398)=NaN","reverse_text":"NaN=(⫖↰⪸1A8A⨜⨶⫖↰⪸1332⩠)⨚⇆(⫖↰⪸2B85↱⫖↰⪸1482)⨥⫆(⫖↰⪸2735⪎↠⫖↰⪸2668)≃(⫖↰⪸22B2⨟⋌⩍⫖↰⪸1802∝⫖↰⪸987≨⫖↰⪸20AB)⫘(⨵≀≌⫖↰⪸1057)∥⊢⊲(⫖↰⪸30A4⩺⪪⫖↰⪸3398)","cot":[{"info":"⫖↰⪸1A8A⨜⨶⫖↰⪸1332=⫖↰⪸-2490","layer":3},{"info":"⫖↰⪸-2490⩠=⫖↰⪸9855","layer":2},{"info":"⫖↰⪸2B85↱⫖↰⪸1482=⫖↰⪸-3A50","layer":3},{"info":"⫖↰⪸2735⪎↠⫖↰⪸2668=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-3A50⨥⫆⫖↰⪸114=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸9855⨚⇆⫖↰⪸-1=NaN","layer":1},{"info":"⫖↰⪸22B2⨟⋌⩍⫖↰⪸1802=NaN","layer":3},{"info":"⫖↰⪸987≨⫖↰⪸20AB=⫖↰⪸-67B6","layer":3},{"info":"NaN∝⫖↰⪸-67B6=NaN","layer":2},{"info":"⨵≀≌⫖↰⪸1057=⫖↰⪸-3149","layer":3},{"info":"⫖↰⪸30A4⩺⪪⫖↰⪸3398=⫖↰⪸-1076","layer":3},{"info":"⫖↰⪸-3149∥⊢⊲⫖↰⪸-1076=⫖↰⪸-1076","layer":2},{"info":"NaN⫘⫖↰⪸-1076=NaN","layer":1},{"info":"NaN≃NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"((⨭⩧⫛($6331$⨵⪆$7440$))*($2818$↹⊜$5023$∴≳≥))≌(($6075$⨜⨶$1074$⇴($2034$⋝⋈⪟$1812$))⩁⩘((⫶⊄≣$4469$)≄⊠$5043$∳⫺$1382$))","expression":"((⨭⩧⫛(⫖↰⪸37B7⨵⪆⫖↰⪸4380))*(⫖↰⪸176A↹⊜⫖↰⪸2AA7∴≳≥))≌((⫖↰⪸3623⨜⨶⫖↰⪸756⇴(⫖↰⪸1216⋝⋈⪟⫖↰⪸1070))⩁⩘((⫶⊄≣⫖↰⪸2705)≄⊠⫖↰⪸2B03∳⫺⫖↰⪸972))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":37408,"operation_count":13,"complexity_ratio":2877.5384615384614,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6331,"base":12},"right_expr":{"type":"numeric_atoms","value":7440,"base":12}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2818,"base":12},"right_expr":{"type":"numeric_atoms","value":5023,"base":12}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6075,"base":12},"right_expr":{"type":"numeric_atoms","value":1074,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2034,"base":12},"right_expr":{"type":"numeric_atoms","value":1812,"base":12}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":4469,"base":12}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5043,"base":12},"right_expr":{"type":"numeric_atoms","value":1382,"base":12}}}}},"used_operators":["lyWz822IDG","9HNa5Wba9A","g21JL6JxX7","2DQ55sFlQl","a3N2hFLK0J","9bazX3JMtO","gub5Cegaqo","4JB6nKBMSY","HiPekx5b7W","2DDjHMKMc0","vXNesLlMH1","wxb3vTeyAj","AzXXKTstlj"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DpFCA1CohY","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6331","layer":4},{"info":"number node, value=7440","layer":4},{"info":"compute binary expreesion, left_input=6331, right_input=7440, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=2818","layer":4},{"info":"number node, value=5023","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=5023, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-14552","layer":3},{"info":"compute unary expreesion, input=-14552, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-58208","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-58208, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6075","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=6075, right_input=1074, 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=-1892","layer":3},{"info":"number node, value=2034","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1812, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2034","layer":3},{"info":"compute binary expreesion, left_input=-1892, right_input=2034, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-7670","layer":2},{"info":"number node, value=4469","layer":4},{"info":"compute unary expreesion, input=4469, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=359572429","layer":3},{"info":"number node, value=5043","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=5043, right_input=1382, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=359572429, right_input=-260, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-7670, right_input=1500, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6948","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6948, 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":12,"result_base":12,"text":"((⨭⩧⫛(⫖↰⪸37B7⨵⪆⫖↰⪸4380))*(⫖↰⪸176A↹⊜⫖↰⪸2AA7∴≳≥))≌((⫖↰⪸3623⨜⨶⫖↰⪸756⇴(⫖↰⪸1216⋝⋈⪟⫖↰⪸1070))⩁⩘((⫶⊄≣⫖↰⪸2705)≄⊠⫖↰⪸2B03∳⫺⫖↰⪸972))=NaN","reverse_text":"NaN=((⨭⩧⫛(⫖↰⪸37B7⨵⪆⫖↰⪸4380))*(⫖↰⪸176A↹⊜⫖↰⪸2AA7∴≳≥))≌((⫖↰⪸3623⨜⨶⫖↰⪸756⇴(⫖↰⪸1216⋝⋈⪟⫖↰⪸1070))⩁⩘((⫶⊄≣⫖↰⪸2705)≄⊠⫖↰⪸2B03∳⫺⫖↰⪸972))","cot":[{"info":"⫖↰⪸37B7⨵⪆⫖↰⪸4380=⫖↰⪸114","layer":3},{"info":"⨭⩧⫛⫖↰⪸114=NaN","layer":2},{"info":"⫖↰⪸176A↹⊜⫖↰⪸2AA7=⫖↰⪸-8508","layer":3},{"info":"⫖↰⪸-8508∴≳≥=⫖↰⪸-29828","layer":2},{"info":"NaN*⫖↰⪸-29828=NaN","layer":1},{"info":"⫖↰⪸3623⨜⨶⫖↰⪸756=⫖↰⪸-1118","layer":3},{"info":"⫖↰⪸1216⋝⋈⪟⫖↰⪸1070=⫖↰⪸1216","layer":3},{"info":"⫖↰⪸-1118⇴⫖↰⪸1216=⫖↰⪸-4532","layer":2},{"info":"⫶⊄≣⫖↰⪸2705=⫖↰⪸A0505A91","layer":3},{"info":"⫖↰⪸2B03∳⫺⫖↰⪸972=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸A0505A91≄⊠⫖↰⪸-198=⫖↰⪸A50","layer":2},{"info":"⫖↰⪸-4532⩁⩘⫖↰⪸A50=⫖↰⪸4030","layer":1},{"info":"NaN≌⫖↰⪸4030=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"(⫖→(⋗⩬⋾$1939$)⪝($6670$⨜⨶$2060$))⋛($1131$⫒⫫$1461$⨰($1346$↱$5435$))⨼⩣(($8564$⫔⩽⩺$4807$)≚⊃≕($3638$⫢⨠$1823$))","expression":"(⫖→(⋗⩬⋾⫖↰⪸1157)⪝(⫖↰⪸3A3A⨜⨶⫖↰⪸1238))⋛(⫖↰⪸7A3⫒⫫⫖↰⪸A19⨰(⫖↰⪸942↱⫖↰⪸318B))⨼⩣((⫖↰⪸4B58⫔⩽⩺⫖↰⪸2947)≚⊃≕(⫖↰⪸2132⫢⨠⫖↰⪸107B))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":73689,"operation_count":12,"complexity_ratio":6140.75,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1939,"base":12}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6670,"base":12},"right_expr":{"type":"numeric_atoms","value":2060,"base":12}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1131,"base":12},"right_expr":{"type":"numeric_atoms","value":1461,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1346,"base":12},"right_expr":{"type":"numeric_atoms","value":5435,"base":12}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8564,"base":12},"right_expr":{"type":"numeric_atoms","value":4807,"base":12}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3638,"base":12},"right_expr":{"type":"numeric_atoms","value":1823,"base":12}}}}},"used_operators":["YbUVn0Rbpy","U4ylXWHChL","wicAB68Tmb","DpFCA1CohY","HiPekx5b7W","JxwMv5le6e","eewbuw0ToL","6Ko8hGgeMq","SR5kFfdi6N","Bmrmz2XGnR","i9eR4S00cU","xlXykHWxX1"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Tw270M8GLb","fu6greOZ01","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1939","layer":4},{"info":"compute unary expreesion, input=1939, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5817","layer":3},{"info":"number node, value=6670","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=6670, right_input=2060, 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=-3864","layer":3},{"info":"compute binary expreesion, left_input=-5817, right_input=-3864, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-72459","layer":2},{"info":"compute unary expreesion, input=-72459, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=1131","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1461, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=5435","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=5435, 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=-15783","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15783, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=8564","layer":4},{"info":"number node, value=4807","layer":4},{"info":"compute binary expreesion, left_input=8564, right_input=4807, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=3638","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=3638, right_input=1823, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖→(⋗⩬⋾⫖↰⪸1157)⪝(⫖↰⪸3A3A⨜⨶⫖↰⪸1238))⋛(⫖↰⪸7A3⫒⫫⫖↰⪸A19⨰(⫖↰⪸942↱⫖↰⪸318B))⨼⩣((⫖↰⪸4B58⫔⩽⩺⫖↰⪸2947)≚⊃≕(⫖↰⪸2132⫢⨠⫖↰⪸107B))=NaN","reverse_text":"NaN=(⫖→(⋗⩬⋾⫖↰⪸1157)⪝(⫖↰⪸3A3A⨜⨶⫖↰⪸1238))⋛(⫖↰⪸7A3⫒⫫⫖↰⪸A19⨰(⫖↰⪸942↱⫖↰⪸318B))⨼⩣((⫖↰⪸4B58⫔⩽⩺⫖↰⪸2947)≚⊃≕(⫖↰⪸2132⫢⨠⫖↰⪸107B))","cot":[{"info":"⋗⩬⋾⫖↰⪸1157=⫖↰⪸-3449","layer":3},{"info":"⫖↰⪸3A3A⨜⨶⫖↰⪸1238=⫖↰⪸-22A0","layer":3},{"info":"⫖↰⪸-3449⪝⫖↰⪸-22A0=⫖↰⪸-35B23","layer":2},{"info":"⫖→⫖↰⪸-35B23=⫖↰⪸129","layer":1},{"info":"⫖↰⪸7A3⫒⫫⫖↰⪸A19=NaN","layer":3},{"info":"⫖↰⪸942↱⫖↰⪸318B=⫖↰⪸-9173","layer":3},{"info":"NaN⨰⫖↰⪸-9173=NaN","layer":2},{"info":"⫖↰⪸4B58⫔⩽⩺⫖↰⪸2947=NaN","layer":3},{"info":"⫖↰⪸2132⫢⨠⫖↰⪸107B=⫖↰⪸114","layer":3},{"info":"NaN≚⊃≕⫖↰⪸114=⫖↰⪸57","layer":2},{"info":"NaN⨼⩣⫖↰⪸57=NaN","layer":1},{"info":"⫖↰⪸129⋛NaN=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"((∡$1035$⪟⇏$5308$)⪁($1526$⨵⪆$1388$)≓∲($2065$⪗))⩇∃⫛(⋼∭⪍$1646$)⫯⪬∳(→⩰$7351$)⪢(($6267$+$5028$)⋳⪒$2648$⨟⋌⩍$1183$)","expression":"((∡⫖↰⪸723⪟⇏⫖↰⪸30A4)⪁(⫖↰⪸A72⨵⪆⫖↰⪸978)≓∲(⫖↰⪸1241⪗))⩇∃⫛(⋼∭⪍⫖↰⪸B52)⫯⪬∳(→⩰⫖↰⪸4307)⪢((⫖↰⪸3763+⫖↰⪸2AB0)⋳⪒⫖↰⪸1648⨟⋌⩍⫖↰⪸827)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9960,"operation_count":14,"complexity_ratio":711.4285714285714,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1035,"base":12},"right_expr":{"type":"numeric_atoms","value":5308,"base":12}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1526,"base":12},"right_expr":{"type":"numeric_atoms","value":1388,"base":12}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2065,"base":12}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1646,"base":12}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":7351,"base":12}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6267,"base":12},"right_expr":{"type":"numeric_atoms","value":5028,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2648,"base":12},"right_expr":{"type":"numeric_atoms","value":1183,"base":12}}}}},"used_operators":["1aApVXNlOP","I7sXao9hZE","pRsWfj4Fpp","GODebY97qR","s1XTVnmDOJ","2DQ55sFlQl","VEQNXA0ZBg","dWAJyo7jo9","d7ASUq0ydm","DbCuESL50I","o8Pngz0Tml","12rbrZMWeM","W4YGzv6Whe","rGHVDoGpnC"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=5308","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=5308, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=6","layer":2},{"info":"number node, value=1526","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=1388, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2065","layer":4},{"info":"compute unary expreesion, input=2065, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-4844","layer":3},{"info":"number node, value=7351","layer":4},{"info":"compute unary expreesion, input=7351, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4844, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14059","layer":2},{"info":"number node, value=6267","layer":4},{"info":"number node, value=5028","layer":4},{"info":"compute binary expreesion, left_input=6267, right_input=5028, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11295","layer":3},{"info":"number node, value=2648","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=1183, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11295, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14059, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∡⫖↰⪸723⪟⇏⫖↰⪸30A4)⪁(⫖↰⪸A72⨵⪆⫖↰⪸978)≓∲(⫖↰⪸1241⪗))⩇∃⫛(⋼∭⪍⫖↰⪸B52)⫯⪬∳(→⩰⫖↰⪸4307)⪢((⫖↰⪸3763+⫖↰⪸2AB0)⋳⪒⫖↰⪸1648⨟⋌⩍⫖↰⪸827)=NaN","reverse_text":"NaN=((∡⫖↰⪸723⪟⇏⫖↰⪸30A4)⪁(⫖↰⪸A72⨵⪆⫖↰⪸978)≓∲(⫖↰⪸1241⪗))⩇∃⫛(⋼∭⪍⫖↰⪸B52)⫯⪬∳(→⩰⫖↰⪸4307)⪢((⫖↰⪸3763+⫖↰⪸2AB0)⋳⪒⫖↰⪸1648⨟⋌⩍⫖↰⪸827)","cot":[{"info":"⫖↰⪸723⪟⇏⫖↰⪸30A4=⫖↰⪸-1","layer":3},{"info":"∡⫖↰⪸-1=⫖↰⪸6","layer":2},{"info":"⫖↰⪸A72⨵⪆⫖↰⪸978=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1241⪗=NaN","layer":3},{"info":"⫖↰⪸114≓∲NaN=NaN","layer":2},{"info":"⫖↰⪸6⪁NaN=NaN","layer":1},{"info":"⋼∭⪍⫖↰⪸B52=⫖↰⪸-2978","layer":3},{"info":"→⩰⫖↰⪸4307=NaN","layer":3},{"info":"⫖↰⪸-2978⫯⪬∳NaN=⫖↰⪸8177","layer":2},{"info":"⫖↰⪸3763+⫖↰⪸2AB0=⫖↰⪸6653","layer":3},{"info":"⫖↰⪸1648⨟⋌⩍⫖↰⪸827=NaN","layer":3},{"info":"⫖↰⪸6653⋳⪒NaN=NaN","layer":2},{"info":"⫖↰⪸8177⪢NaN=NaN","layer":1},{"info":"NaN⩇∃⫛NaN=NaN","layer":0}]}
{"id":883,"expression_no_base_symbol":"($2060$⫯⪬∳$1158$⨼⩣(⫡⇟⇯$4992$)↙(⩦⊞$1333$)⪇≇⋚$1048$≄⊠$2292$)∼(⩷⨜⫀($1045$⫌⩉⩟$5237$)⇡⇂($1500$⋓$1653$))","expression":"(⫖↰⪸1238⫯⪬∳⫖↰⪸806⨼⩣(⫡⇟⇯⫖↰⪸2A80)↙(⩦⊞⫖↰⪸931)⪇≇⋚⫖↰⪸734≄⊠⫖↰⪸13B0)∼(⩷⨜⫀(⫖↰⪸731⫌⩉⩟⫖↰⪸3045)⇡⇂(⫖↰⪸A50⋓⫖↰⪸B59))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34931,"operation_count":12,"complexity_ratio":2910.9166666666665,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2060,"base":12},"right_expr":{"type":"numeric_atoms","value":1158,"base":12}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":4992,"base":12}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1333,"base":12}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":2292,"base":12}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1045,"base":12},"right_expr":{"type":"numeric_atoms","value":5237,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1500,"base":12},"right_expr":{"type":"numeric_atoms","value":1653,"base":12}}}}},"used_operators":["DyGG3AbaNP","yyfyN0ffXY","JxwMv5le6e","d7ASUq0ydm","qWUSsah53b","3sJ7IOPOlU","u7fv1HBiaC","vXNesLlMH1","CDi0ktkjQ4","UMwdvZNt44","XIIwhv8d0m","T2fj7uvVaJ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DZ8iAZOCBD","P8v4zCKN1o","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2060","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=1158, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9175","layer":3},{"info":"number node, value=4992","layer":4},{"info":"compute unary expreesion, input=4992, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=10852","layer":3},{"info":"compute binary expreesion, left_input=9175, right_input=10852, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1333","layer":4},{"info":"compute unary expreesion, input=1333, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1060","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2292, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=41340","layer":3},{"info":"compute binary expreesion, left_input=-1060, right_input=41340, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1045","layer":4},{"info":"number node, value=5237","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=5237, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1500","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=1653, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=0, 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=-47","layer":2},{"info":"compute unary expreesion, input=-47, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-766, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1238⫯⪬∳⫖↰⪸806⨼⩣(⫡⇟⇯⫖↰⪸2A80)↙(⩦⊞⫖↰⪸931)⪇≇⋚⫖↰⪸734≄⊠⫖↰⪸13B0)∼(⩷⨜⫀(⫖↰⪸731⫌⩉⩟⫖↰⪸3045)⇡⇂(⫖↰⪸A50⋓⫖↰⪸B59))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1238⫯⪬∳⫖↰⪸806⨼⩣(⫡⇟⇯⫖↰⪸2A80)↙(⩦⊞⫖↰⪸931)⪇≇⋚⫖↰⪸734≄⊠⫖↰⪸13B0)∼(⩷⨜⫀(⫖↰⪸731⫌⩉⩟⫖↰⪸3045)⇡⇂(⫖↰⪸A50⋓⫖↰⪸B59))","cot":[{"info":"⫖↰⪸1238⫯⪬∳⫖↰⪸806=⫖↰⪸5387","layer":3},{"info":"⫡⇟⇯⫖↰⪸2A80=⫖↰⪸6344","layer":3},{"info":"⫖↰⪸5387⨼⩣⫖↰⪸6344=NaN","layer":2},{"info":"⩦⊞⫖↰⪸931=⫖↰⪸-744","layer":3},{"info":"⫖↰⪸734≄⊠⫖↰⪸13B0=⫖↰⪸1BB10","layer":3},{"info":"⫖↰⪸-744⪇≇⋚⫖↰⪸1BB10=⫖↰⪸0","layer":2},{"info":"NaN↙⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸731⫌⩉⩟⫖↰⪸3045=⫖↰⪸-42","layer":3},{"info":"⫖↰⪸A50⋓⫖↰⪸B59=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-42⇡⇂⫖↰⪸0=⫖↰⪸-3B","layer":2},{"info":"⩷⨜⫀⫖↰⪸-3B=⫖↰⪸-53A","layer":1},{"info":"NaN∼⫖↰⪸-53A=⫖↰⪸0","layer":0}]}
{"id":884,"expression_no_base_symbol":"($3097$⨚⇆$2194$≓∲$7223$⊮⊟↴$3954$⫡⨏(≀↧⇸$3599$)≄⊠(≤/$8075$))⪟⇏((∓($1566$⊭↱$1277$))⨔⇊(($2007$⨐⩸⫘$6388$)⋥⋵⩄(⇺⋃$7073$)))","expression":"(⫖↰⪸1961⨚⇆⫖↰⪸132A≓∲⫖↰⪸421B⊮⊟↴⫖↰⪸2356⫡⨏(≀↧⇸⫖↰⪸20BB)≄⊠(≤/⫖↰⪸480B))⪟⇏((∓(⫖↰⪸AA6⊭↱⫖↰⪸8A5))⨔⇊((⫖↰⪸11B3⨐⩸⫘⫖↰⪸3844)⋥⋵⩄(⇺⋃⫖↰⪸4115)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22029,"operation_count":14,"complexity_ratio":1573.5,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3097,"base":12},"right_expr":{"type":"numeric_atoms","value":2194,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":7223,"base":12},"right_expr":{"type":"numeric_atoms","value":3954,"base":12}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3599,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8075,"base":12}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1566,"base":12},"right_expr":{"type":"numeric_atoms","value":1277,"base":12}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2007,"base":12},"right_expr":{"type":"numeric_atoms","value":6388,"base":12}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":7073,"base":12}}}}},"used_operators":["GODebY97qR","QMFrweE19q","s1XTVnmDOJ","lwHaAYXP2r","QDVgd2eftb","vXNesLlMH1","ljTHtUsqzn","eLAdDNolq6","JclMnS0uGI","OwUj7dcsQK","COABgblf1C","7t3wd0Fuz7","fu6greOZ01","E5v5B3UAjG"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","3ViojmjbAp","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3097","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=3097, right_input=2194, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=7223","layer":4},{"info":"number node, value=3954","layer":4},{"info":"compute binary expreesion, left_input=7223, right_input=3954, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"number node, value=3599","layer":4},{"info":"compute unary expreesion, input=3599, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=7198","layer":3},{"info":"number node, value=8075","layer":4},{"info":"compute unary expreesion, input=8075, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-7591","layer":3},{"info":"compute binary expreesion, left_input=7198, right_input=-7591, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1566","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1277, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-573","layer":3},{"info":"compute unary expreesion, input=-573, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=3723","layer":2},{"info":"number node, value=2007","layer":4},{"info":"number node, value=6388","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=6388, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7073","layer":4},{"info":"compute unary expreesion, input=7073, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3723, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1961⨚⇆⫖↰⪸132A≓∲⫖↰⪸421B⊮⊟↴⫖↰⪸2356⫡⨏(≀↧⇸⫖↰⪸20BB)≄⊠(≤/⫖↰⪸480B))⪟⇏((∓(⫖↰⪸AA6⊭↱⫖↰⪸8A5))⨔⇊((⫖↰⪸11B3⨐⩸⫘⫖↰⪸3844)⋥⋵⩄(⇺⋃⫖↰⪸4115)))=NaN","reverse_text":"NaN=(⫖↰⪸1961⨚⇆⫖↰⪸132A≓∲⫖↰⪸421B⊮⊟↴⫖↰⪸2356⫡⨏(≀↧⇸⫖↰⪸20BB)≄⊠(≤/⫖↰⪸480B))⪟⇏((∓(⫖↰⪸AA6⊭↱⫖↰⪸8A5))⨔⇊((⫖↰⪸11B3⨐⩸⫘⫖↰⪸3844)⋥⋵⩄(⇺⋃⫖↰⪸4115)))","cot":[{"info":"⫖↰⪸1961⨚⇆⫖↰⪸132A=NaN","layer":3},{"info":"⫖↰⪸421B⊮⊟↴⫖↰⪸2356=⫖↰⪸0","layer":3},{"info":"NaN≓∲⫖↰⪸0=NaN","layer":2},{"info":"≀↧⇸⫖↰⪸20BB=⫖↰⪸41BA","layer":3},{"info":"≤/⫖↰⪸480B=⫖↰⪸-4487","layer":3},{"info":"⫖↰⪸41BA≄⊠⫖↰⪸-4487=⫖↰⪸A50","layer":2},{"info":"NaN⫡⨏⫖↰⪸A50=NaN","layer":1},{"info":"⫖↰⪸AA6⊭↱⫖↰⪸8A5=⫖↰⪸-3B9","layer":3},{"info":"∓⫖↰⪸-3B9=⫖↰⪸21A3","layer":2},{"info":"⫖↰⪸11B3⨐⩸⫘⫖↰⪸3844=NaN","layer":3},{"info":"⇺⋃⫖↰⪸4115=NaN","layer":3},{"info":"NaN⋥⋵⩄NaN=NaN","layer":2},{"info":"⫖↰⪸21A3⨔⇊NaN=NaN","layer":1},{"info":"NaN⪟⇏NaN=NaN","layer":0}]}
{"id":885,"expression_no_base_symbol":"↣≠⋷((⊙↵-$3017$)⊉≛↸$1175$⨚$2061$)↤⩊(⇁⨣⪵$1807$↙$5348$)","expression":"↣≠⋷((⊙↵-⫖↰⪸18B5)⊉≛↸⫖↰⪸81B⨚⫖↰⪸1239)↤⩊(⇁⨣⪵⫖↰⪸1067↙⫖↰⪸3118)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8609,"operation_count":7,"complexity_ratio":1229.857142857143,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3017,"base":12}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1175,"base":12},"right_expr":{"type":"numeric_atoms","value":2061,"base":12}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1807,"base":12},"right_expr":{"type":"numeric_atoms","value":5348,"base":12}}}}},"used_operators":["Asc51vEJeQ","13rbtpv6ld","DZ8iAZOCBD","oWn0xqSxBt","nREPSIbpBE","inkyxCbjAn","yyfyN0ffXY"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","BjRHVeLaeN","12rbrZMWeM","B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3017","layer":4},{"info":"compute unary expreesion, input=3017, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1175","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=2061, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4960","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-4960, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2","layer":2},{"info":"number node, value=1807","layer":4},{"info":"number node, value=5348","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=5348, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16044","layer":3},{"info":"compute unary expreesion, input=-16044, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"↣≠⋷((⊙↵-⫖↰⪸18B5)⊉≛↸⫖↰⪸81B⨚⫖↰⪸1239)↤⩊(⇁⨣⪵⫖↰⪸1067↙⫖↰⪸3118)=NaN","reverse_text":"NaN=↣≠⋷((⊙↵-⫖↰⪸18B5)⊉≛↸⫖↰⪸81B⨚⫖↰⪸1239)↤⩊(⇁⨣⪵⫖↰⪸1067↙⫖↰⪸3118)","cot":[{"info":"⊙↵-⫖↰⪸18B5=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸81B⨚⫖↰⪸1239=⫖↰⪸-2A54","layer":3},{"info":"⫖↰⪸-1⊉≛↸⫖↰⪸-2A54=⫖↰⪸-2","layer":2},{"info":"⫖↰⪸1067↙⫖↰⪸3118=⫖↰⪸-9350","layer":3},{"info":"⇁⨣⪵⫖↰⪸-9350=NaN","layer":2},{"info":"⫖↰⪸-2↤⩊NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"(($1100$≭$1018$)⊕∕($1796$⨔≚≋$1940$))⫗⊷⫓(($5362$⇣⩺⋵$1385$)⫁⪎($1262$↺$6423$))⊴⇁⪶","expression":"((⫖↰⪸778≭⫖↰⪸70A)⊕∕(⫖↰⪸1058⨔≚≋⫖↰⪸1158))⫗⊷⫓((⫖↰⪸312A⇣⩺⋵⫖↰⪸975)⫁⪎(⫖↰⪸892↺⫖↰⪸3873))⊴⇁⪶","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":87961,"operation_count":8,"complexity_ratio":10995.125,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1100,"base":12},"right_expr":{"type":"numeric_atoms","value":1018,"base":12}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1796,"base":12},"right_expr":{"type":"numeric_atoms","value":1940,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5362,"base":12},"right_expr":{"type":"numeric_atoms","value":1385,"base":12}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1262,"base":12},"right_expr":{"type":"numeric_atoms","value":6423,"base":12}}}}},"used_operators":["oo9mF6JIpo","zashukvMKz","9cloC0Ngie","rxpJgHHUmx","Z57zeUYC9z","xRrnTEsQ6j","F4yD0voBRQ","7j4O788W3g"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","AHs5Up7iyr","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸-6196","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1018, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=1940, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"number node, value=5362","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=5362, right_input=1385, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=6423","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=6423, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6423","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=6423, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-6683","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6683, 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 = 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=-10626","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸778≭⫖↰⪸70A)⊕∕(⫖↰⪸1058⨔≚≋⫖↰⪸1158))⫗⊷⫓((⫖↰⪸312A⇣⩺⋵⫖↰⪸975)⫁⪎(⫖↰⪸892↺⫖↰⪸3873))⊴⇁⪶=⫖↰⪸-6196","reverse_text":"⫖↰⪸-6196=((⫖↰⪸778≭⫖↰⪸70A)⊕∕(⫖↰⪸1058⨔≚≋⫖↰⪸1158))⫗⊷⫓((⫖↰⪸312A⇣⩺⋵⫖↰⪸975)⫁⪎(⫖↰⪸892↺⫖↰⪸3873))⊴⇁⪶","cot":[{"info":"⫖↰⪸778≭⫖↰⪸70A=NaN","layer":3},{"info":"⫖↰⪸1058⨔≚≋⫖↰⪸1158=⫖↰⪸5868","layer":3},{"info":"NaN⊕∕⫖↰⪸5868=NaN","layer":2},{"info":"⫖↰⪸312A⇣⩺⋵⫖↰⪸975=⫖↰⪸-198","layer":3},{"info":"⫖↰⪸892↺⫖↰⪸3873=⫖↰⪸3873","layer":3},{"info":"⫖↰⪸-198⫁⪎⫖↰⪸3873=⫖↰⪸-3A4B","layer":2},{"info":"NaN⫗⊷⫓⫖↰⪸-3A4B=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸-B2⊴⇁⪶=⫖↰⪸-6196","layer":0}]}
{"id":887,"expression_no_base_symbol":"(⩷($4371$⋥⋵⩄$6629$)≴⪞⇿($2020$⋳⪒$2306$))≹⇙⪍((($1038$↯⫤)-(⪲⇎$2077$))⨽($4993$∠⫱$1109$)⪔($1830$⇴∐$2860$))","expression":"(⩷(⫖↰⪸2643⋥⋵⩄⫖↰⪸3A05)≴⪞⇿(⫖↰⪸1204⋳⪒⫖↰⪸1402))≹⇙⪍(((⫖↰⪸726↯⫤)-(⪲⇎⫖↰⪸1251))⨽(⫖↰⪸2A81∠⫱⫖↰⪸785)⪔(⫖↰⪸1086⇴∐⫖↰⪸17A4))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4558,"operation_count":12,"complexity_ratio":379.8333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4371,"base":12},"right_expr":{"type":"numeric_atoms","value":6629,"base":12}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2020,"base":12},"right_expr":{"type":"numeric_atoms","value":2306,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1038,"base":12}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2077,"base":12}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4993,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1830,"base":12},"right_expr":{"type":"numeric_atoms","value":2860,"base":12}}}}},"used_operators":["AHs5Up7iyr","1h0rLqGiFr","lvlrscuwVU","7t3wd0Fuz7","12rbrZMWeM","8HhzD0ZcuI","rysDP5nf3Z","VwlE7vj6HS","XPYlsWDdGa","GjBEYRfMaF","QvoQhV0rrE","HnzytWxmAO"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4371","layer":4},{"info":"number node, value=6629","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=6629, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2020","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=2306, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1447","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1447, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=51434","layer":2},{"info":"compute unary expreesion, input=51434, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-617287","layer":1},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4154","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4154, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4154","layer":2},{"info":"number node, value=4993","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=4993, right_input=1109, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1830","layer":4},{"info":"number node, value=2860","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=2860, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4154, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-617287, 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":12,"result_base":12,"text":"(⩷(⫖↰⪸2643⋥⋵⩄⫖↰⪸3A05)≴⪞⇿(⫖↰⪸1204⋳⪒⫖↰⪸1402))≹⇙⪍(((⫖↰⪸726↯⫤)-(⪲⇎⫖↰⪸1251))⨽(⫖↰⪸2A81∠⫱⫖↰⪸785)⪔(⫖↰⪸1086⇴∐⫖↰⪸17A4))=NaN","reverse_text":"NaN=(⩷(⫖↰⪸2643⋥⋵⩄⫖↰⪸3A05)≴⪞⇿(⫖↰⪸1204⋳⪒⫖↰⪸1402))≹⇙⪍(((⫖↰⪸726↯⫤)-(⪲⇎⫖↰⪸1251))⨽(⫖↰⪸2A81∠⫱⫖↰⪸785)⪔(⫖↰⪸1086⇴∐⫖↰⪸17A4))","cot":[{"info":"⫖↰⪸2643⋥⋵⩄⫖↰⪸3A05=⫖↰⪸95","layer":3},{"info":"⫖↰⪸1204⋳⪒⫖↰⪸1402=⫖↰⪸A07","layer":3},{"info":"⫖↰⪸95≴⪞⇿⫖↰⪸A07=⫖↰⪸25922","layer":2},{"info":"⩷⫖↰⪸25922=⫖↰⪸-259287","layer":1},{"info":"⫖↰⪸726↯⫤=⫖↰⪸0","layer":3},{"info":"⪲⇎⫖↰⪸1251=⫖↰⪸24A2","layer":3},{"info":"⫖↰⪸0-⫖↰⪸24A2=⫖↰⪸-24A2","layer":2},{"info":"⫖↰⪸2A81∠⫱⫖↰⪸785=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1086⇴∐⫖↰⪸17A4=NaN","layer":3},{"info":"⫖↰⪸86A⪔NaN=NaN","layer":2},{"info":"⫖↰⪸-24A2⨽NaN=NaN","layer":1},{"info":"⫖↰⪸-259287≹⇙⪍NaN=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"⨈⫕(⇘($5230$⨓$1449$))⩘($6704$⪪$1965$≬⋮$1007$⨳⩥⨓$7143$)","expression":"⨈⫕(⇘(⫖↰⪸303A⨓⫖↰⪸A09))⩘(⫖↰⪸3A68⪪⫖↰⪸1179≬⋮⫖↰⪸6BB⨳⩥⨓⫖↰⪸4173)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":215069983,"operation_count":7,"complexity_ratio":30724283.285714287,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5230,"base":12},"right_expr":{"type":"numeric_atoms","value":1449,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6704,"base":12},"right_expr":{"type":"numeric_atoms","value":1965,"base":12}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1007,"base":12},"right_expr":{"type":"numeric_atoms","value":7143,"base":12}}}}},"used_operators":["megm06wKyl","cHh1gJQ2o6","MGuIdZPyUC","3ViojmjbAp","kbkesczE7y","xD69zh8xqp","nCS4ZIUYfx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5230","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=5230, right_input=1449, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1452","layer":3},{"info":"compute unary expreesion, input=-1452, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-71681617","layer":2},{"info":"number node, value=6704","layer":4},{"info":"number node, value=1965","layer":4},{"info":"compute binary expreesion, left_input=6704, right_input=1965, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1008393","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=7143","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=7143, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6136","layer":3},{"info":"compute binary expreesion, left_input=-1008393, right_input=6136, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-71681617, right_input=868, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":12,"result_base":12,"text":"⨈⫕(⇘(⫖↰⪸303A⨓⫖↰⪸A09))⩘(⫖↰⪸3A68⪪⫖↰⪸1179≬⋮⫖↰⪸6BB⨳⩥⨓⫖↰⪸4173)=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=⨈⫕(⇘(⫖↰⪸303A⨓⫖↰⪸A09))⩘(⫖↰⪸3A68⪪⫖↰⪸1179≬⋮⫖↰⪸6BB⨳⩥⨓⫖↰⪸4173)","cot":[{"info":"⫖↰⪸303A⨓⫖↰⪸A09=⫖↰⪸-A10","layer":3},{"info":"⇘⫖↰⪸-A10=⫖↰⪸-2000A501","layer":2},{"info":"⫖↰⪸3A68⪪⫖↰⪸1179=⫖↰⪸-407689","layer":3},{"info":"⫖↰⪸6BB⨳⩥⨓⫖↰⪸4173=⫖↰⪸3674","layer":3},{"info":"⫖↰⪸-407689≬⋮⫖↰⪸3674=⫖↰⪸604","layer":2},{"info":"⫖↰⪸-2000A501⩘⫖↰⪸604=⫖↰⪸114","layer":1},{"info":"⨈⫕⫖↰⪸114=⫖↰⪸-19","layer":0}]}
{"id":889,"expression_no_base_symbol":"⇵⪽(⋼∭⪍(⊖($2415$∖$1076$)))","expression":"⇵⪽(⋼∭⪍(⊖(⫖↰⪸1493∖⫖↰⪸758)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":895205,"operation_count":4,"complexity_ratio":223801.25,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2415,"base":12},"right_expr":{"type":"numeric_atoms","value":1076,"base":12}}}}},"used_operators":["ZGCBLdVRRX","DbCuESL50I","U6pG0PXrV3","tXD093vOjl"],"dependent_operators":["U7g4x0WXJJ","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2415","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=1076, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"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":1},{"info":"compute unary expreesion, input=946, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇵⪽(⋼∭⪍(⊖(⫖↰⪸1493∖⫖↰⪸758)))=NaN","reverse_text":"NaN=⇵⪽(⋼∭⪍(⊖(⫖↰⪸1493∖⫖↰⪸758)))","cot":[{"info":"⫖↰⪸1493∖⫖↰⪸758=⫖↰⪸0","layer":3},{"info":"⊖⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⋼∭⪍⫖↰⪸0=⫖↰⪸66A","layer":1},{"info":"⇵⪽⫖↰⪸66A=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"(≀↧⇸((↥≼⋛$1021$)↺(⊵⊁$9013$)))⋛($6133$⩁⩘$1659$↺$1625$∼$2126$∲⫓($1752$⨐⩸⫘$2281$)⨥⫆(⊀$2247$))","expression":"(≀↧⇸((↥≼⋛⫖↰⪸711)↺(⊵⊁⫖↰⪸5271)))⋛(⫖↰⪸3671⩁⩘⫖↰⪸B63↺⫖↰⪸B35∼⫖↰⪸1292∲⫓(⫖↰⪸1020⨐⩸⫘⫖↰⪸13A1)⨥⫆(⊀⫖↰⪸1373))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":187,"operation_count":12,"complexity_ratio":15.583333333333334,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1021,"base":12}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":9013,"base":12}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6133,"base":12},"right_expr":{"type":"numeric_atoms","value":1659,"base":12}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1625,"base":12},"right_expr":{"type":"numeric_atoms","value":2126,"base":12}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1752,"base":12},"right_expr":{"type":"numeric_atoms","value":2281,"base":12}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2247,"base":12}}}}},"used_operators":["YbUVn0Rbpy","ljTHtUsqzn","7j4O788W3g","x5lMkHmzsq","AvED76WdY7","i8ToyICDmI","gub5Cegaqo","DyGG3AbaNP","yXekIHxTD4","fu6greOZ01","oPMjh9089D"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","3ViojmjbAp","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=9013","layer":4},{"info":"compute unary expreesion, input=9013, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=53008","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=53008, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=53008","layer":2},{"info":"compute unary expreesion, input=53008, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=106016","layer":1},{"info":"number node, value=6133","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=6133, right_input=1659, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7584","layer":3},{"info":"number node, value=1625","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=2126, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7584, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=1752","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=1752, right_input=2281, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2247","layer":4},{"info":"compute unary expreesion, input=2247, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8726","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8726, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=106016, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≀↧⇸((↥≼⋛⫖↰⪸711)↺(⊵⊁⫖↰⪸5271)))⋛(⫖↰⪸3671⩁⩘⫖↰⪸B63↺⫖↰⪸B35∼⫖↰⪸1292∲⫓(⫖↰⪸1020⨐⩸⫘⫖↰⪸13A1)⨥⫆(⊀⫖↰⪸1373))=NaN","reverse_text":"NaN=(≀↧⇸((↥≼⋛⫖↰⪸711)↺(⊵⊁⫖↰⪸5271)))⋛(⫖↰⪸3671⩁⩘⫖↰⪸B63↺⫖↰⪸B35∼⫖↰⪸1292∲⫓(⫖↰⪸1020⨐⩸⫘⫖↰⪸13A1)⨥⫆(⊀⫖↰⪸1373))","cot":[{"info":"↥≼⋛⫖↰⪸711=⫖↰⪸-95","layer":3},{"info":"⊵⊁⫖↰⪸5271=⫖↰⪸26814","layer":3},{"info":"⫖↰⪸-95↺⫖↰⪸26814=⫖↰⪸26814","layer":2},{"info":"≀↧⇸⫖↰⪸26814=⫖↰⪸51428","layer":1},{"info":"⫖↰⪸3671⩁⩘⫖↰⪸B63=⫖↰⪸4480","layer":3},{"info":"⫖↰⪸B35∼⫖↰⪸1292=NaN","layer":3},{"info":"⫖↰⪸4480↺NaN=NaN","layer":2},{"info":"⫖↰⪸1020⨐⩸⫘⫖↰⪸13A1=NaN","layer":3},{"info":"⊀⫖↰⪸1373=⫖↰⪸5072","layer":3},{"info":"NaN⨥⫆⫖↰⪸5072=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⫖↰⪸51428⋛NaN=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"(($4130$⨽∌$6902$)⪃⊛⇣($2750$⪛$1389$)⋳⪒($2554$⫃⨇$3946$)⨂≜($5662$⪇≇⋚$1412$))⪡((⊥($2231$≠≀$4586$))⊉≛↸($7409$⪣⫩)⨫⇇↔(≸$7790$))","expression":"((⫖↰⪸2482⨽∌⫖↰⪸3BB2)⪃⊛⇣(⫖↰⪸1712⪛⫖↰⪸979)⋳⪒(⫖↰⪸158A⫃⨇⫖↰⪸234A)⨂≜(⫖↰⪸333A⪇≇⋚⫖↰⪸998))⪡((⊥(⫖↰⪸135B≠≀⫖↰⪸27A2))⊉≛↸(⫖↰⪸4355⪣⫩)⨫⇇↔(≸⫖↰⪸4612))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16638,"operation_count":14,"complexity_ratio":1188.4285714285713,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4130,"base":12},"right_expr":{"type":"numeric_atoms","value":6902,"base":12}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2750,"base":12},"right_expr":{"type":"numeric_atoms","value":1389,"base":12}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2554,"base":12},"right_expr":{"type":"numeric_atoms","value":3946,"base":12}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5662,"base":12},"right_expr":{"type":"numeric_atoms","value":1412,"base":12}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2231,"base":12},"right_expr":{"type":"numeric_atoms","value":4586,"base":12}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":7409,"base":12}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":7790,"base":12}}}}},"used_operators":["oraRL2iQuh","12rbrZMWeM","rrgAzCduG9","9samAPKr6k","uFcxV4UQCh","k1SHOSEABc","09Ly4LVMIf","3sJ7IOPOlU","DZ8iAZOCBD","Q3PJZHRvZv","IwW236VD4Y","LXhwmt4mBO","iuk5sVOGFA","eOf03JbCpp"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"⫖↰⪸47A228426","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4130","layer":4},{"info":"number node, value=6902","layer":4},{"info":"compute binary expreesion, left_input=4130, right_input=6902, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2750","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=1389, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1361","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1361, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2554","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=3946, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15816","layer":3},{"info":"number node, value=5662","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=5662, right_input=1412, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-15816, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=1000583120","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1000583120, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1000580939","layer":1},{"info":"number node, value=2231","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=4586, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4156","layer":3},{"info":"compute unary expreesion, input=-4156, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=7409","layer":4},{"info":"compute unary expreesion, input=7409, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=22194","layer":3},{"info":"number node, value=7790","layer":4},{"info":"compute unary expreesion, input=7790, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=22194, right_input=58, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1000580939, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2001162846","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸2482⨽∌⫖↰⪸3BB2)⪃⊛⇣(⫖↰⪸1712⪛⫖↰⪸979)⋳⪒(⫖↰⪸158A⫃⨇⫖↰⪸234A)⨂≜(⫖↰⪸333A⪇≇⋚⫖↰⪸998))⪡((⊥(⫖↰⪸135B≠≀⫖↰⪸27A2))⊉≛↸(⫖↰⪸4355⪣⫩)⨫⇇↔(≸⫖↰⪸4612))=⫖↰⪸47A228426","reverse_text":"⫖↰⪸47A228426=((⫖↰⪸2482⨽∌⫖↰⪸3BB2)⪃⊛⇣(⫖↰⪸1712⪛⫖↰⪸979)⋳⪒(⫖↰⪸158A⫃⨇⫖↰⪸234A)⨂≜(⫖↰⪸333A⪇≇⋚⫖↰⪸998))⪡((⊥(⫖↰⪸135B≠≀⫖↰⪸27A2))⊉≛↸(⫖↰⪸4355⪣⫩)⨫⇇↔(≸⫖↰⪸4612))","cot":[{"info":"⫖↰⪸2482⨽∌⫖↰⪸3BB2=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1712⪛⫖↰⪸979=⫖↰⪸955","layer":3},{"info":"⫖↰⪸0⪃⊛⇣⫖↰⪸955=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸158A⫃⨇⫖↰⪸234A=⫖↰⪸-91A0","layer":3},{"info":"⫖↰⪸333A⪇≇⋚⫖↰⪸998=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-91A0⨂≜⫖↰⪸0=⫖↰⪸23B1151A8","layer":2},{"info":"⫖↰⪸86A⋳⪒⫖↰⪸23B1151A8=⫖↰⪸-23B113A8B","layer":1},{"info":"⫖↰⪸135B≠≀⫖↰⪸27A2=⫖↰⪸-24A4","layer":3},{"info":"⊥⫖↰⪸-24A4=NaN","layer":2},{"info":"⫖↰⪸4355⪣⫩=⫖↰⪸10A16","layer":3},{"info":"≸⫖↰⪸4612=⫖↰⪸4A","layer":3},{"info":"⫖↰⪸10A16⨫⇇↔⫖↰⪸4A=⫖↰⪸-37B","layer":2},{"info":"NaN⊉≛↸⫖↰⪸-37B=NaN","layer":1},{"info":"⫖↰⪸-23B113A8B⪡NaN=⫖↰⪸47A228426","layer":0}]}
{"id":892,"expression_no_base_symbol":"(($2952$↡⊰⫅$6302$)⋕⪉⪜($1222$⪄$1934$)⫥∨⫟($2617$⫥∨⫟$1380$⫳≱↱($1494$⊍⩺⋍$3456$)))⨰($6638$⨸$1098$⨽($1341$/$1172$))⪝(($8182$⪄$3977$)⪚⩙≫)","expression":"((⫖↰⪸1860↡⊰⫅⫖↰⪸3792)⋕⪉⪜(⫖↰⪸85A⪄⫖↰⪸1152)⫥∨⫟(⫖↰⪸1621⫥∨⫟⫖↰⪸970⫳≱↱(⫖↰⪸A46⊍⩺⋍⫖↰⪸2000)))⨰(⫖↰⪸3A12⨸⫖↰⪸776⨽(⫖↰⪸939/⫖↰⪸818))⪝((⫖↰⪸489A⪄⫖↰⪸2375)⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":109497,"operation_count":14,"complexity_ratio":7821.214285714285,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2952,"base":12},"right_expr":{"type":"numeric_atoms","value":6302,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1222,"base":12},"right_expr":{"type":"numeric_atoms","value":1934,"base":12}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2617,"base":12},"right_expr":{"type":"numeric_atoms","value":1380,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1494,"base":12},"right_expr":{"type":"numeric_atoms","value":3456,"base":12}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":6638,"base":12},"right_expr":{"type":"numeric_atoms","value":1098,"base":12}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1341,"base":12},"right_expr":{"type":"numeric_atoms","value":1172,"base":12}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8182,"base":12},"right_expr":{"type":"numeric_atoms","value":3977,"base":12}}}}},"used_operators":["eewbuw0ToL","KYD54nUTWz","z6LnFrNh4i","VCtxkLNOzz","SUmda5xLS4","ZvLB05nZmT","OXDGMFPWZM","wicAB68Tmb","8HhzD0ZcuI","KmoU8R5UQR","XhwjNDsVaA","4n53wtyJvv"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"number node, value=6302","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=6302, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=12604","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=1934, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-184681","layer":3},{"info":"compute binary expreesion, left_input=12604, right_input=-184681, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1380, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=3456, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6638","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=6638, right_input=1098, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=13276","layer":3},{"info":"number node, value=1341","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1172, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=13276, right_input=1, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-528755217","layer":2},{"info":"number node, value=8182","layer":4},{"info":"number node, value=3977","layer":4},{"info":"compute binary expreesion, left_input=8182, right_input=3977, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1222933","layer":3},{"info":"compute unary expreesion, input=-1222933, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-528755217, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1860↡⊰⫅⫖↰⪸3792)⋕⪉⪜(⫖↰⪸85A⪄⫖↰⪸1152)⫥∨⫟(⫖↰⪸1621⫥∨⫟⫖↰⪸970⫳≱↱(⫖↰⪸A46⊍⩺⋍⫖↰⪸2000)))⨰(⫖↰⪸3A12⨸⫖↰⪸776⨽(⫖↰⪸939/⫖↰⪸818))⪝((⫖↰⪸489A⪄⫖↰⪸2375)⪚⩙≫)=NaN","reverse_text":"NaN=((⫖↰⪸1860↡⊰⫅⫖↰⪸3792)⋕⪉⪜(⫖↰⪸85A⪄⫖↰⪸1152)⫥∨⫟(⫖↰⪸1621⫥∨⫟⫖↰⪸970⫳≱↱(⫖↰⪸A46⊍⩺⋍⫖↰⪸2000)))⨰(⫖↰⪸3A12⨸⫖↰⪸776⨽(⫖↰⪸939/⫖↰⪸818))⪝((⫖↰⪸489A⪄⫖↰⪸2375)⪚⩙≫)","cot":[{"info":"⫖↰⪸1860↡⊰⫅⫖↰⪸3792=⫖↰⪸7364","layer":3},{"info":"⫖↰⪸85A⪄⫖↰⪸1152=⫖↰⪸-8AA61","layer":3},{"info":"⫖↰⪸7364⋕⪉⪜⫖↰⪸-8AA61=⫖↰⪸1756","layer":2},{"info":"⫖↰⪸1621⫥∨⫟⫖↰⪸970=NaN","layer":3},{"info":"⫖↰⪸A46⊍⩺⋍⫖↰⪸2000=NaN","layer":3},{"info":"NaN⫳≱↱NaN=NaN","layer":2},{"info":"⫖↰⪸1756⫥∨⫟NaN=NaN","layer":1},{"info":"⫖↰⪸3A12⨸⫖↰⪸776=⫖↰⪸7824","layer":3},{"info":"⫖↰⪸939/⫖↰⪸818=⫖↰⪸1","layer":3},{"info":"⫖↰⪸7824⨽⫖↰⪸1=⫖↰⪸-1290B4729","layer":2},{"info":"⫖↰⪸489A⪄⫖↰⪸2375=⫖↰⪸-4AB871","layer":3},{"info":"⫖↰⪸-4AB871⪚⩙≫=NaN","layer":2},{"info":"⫖↰⪸-1290B4729⪝NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"((⪡⇡≛($1712$⨎$1235$))%(≯$1926$)⇣⩺⋵$3057$∛$7473$)≎⊠⪸(($1737$⫉⨲⊜$4834$)⋕⪉⪜($1311$∠↢$1774$)⋻⩜⩜(($1002$⊢$2681$)⫻⋑⊟))","expression":"((⪡⇡≛(⫖↰⪸BA8⨎⫖↰⪸86B))%(≯⫖↰⪸1146)⇣⩺⋵⫖↰⪸1929∛⫖↰⪸43A9)≎⊠⪸((⫖↰⪸1009⫉⨲⊜⫖↰⪸296A)⋕⪉⪜(⫖↰⪸913∠↢⫖↰⪸103A)⋻⩜⩜((⫖↰⪸6B6⊢⫖↰⪸1675)⫻⋑⊟))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":196501,"operation_count":13,"complexity_ratio":15115.461538461539,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1712,"base":12},"right_expr":{"type":"numeric_atoms","value":1235,"base":12}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1926,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3057,"base":12},"right_expr":{"type":"numeric_atoms","value":7473,"base":12}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1737,"base":12},"right_expr":{"type":"numeric_atoms","value":4834,"base":12}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1311,"base":12},"right_expr":{"type":"numeric_atoms","value":1774,"base":12}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":2681,"base":12}}}}},"used_operators":["bJkvcejdHO","k8jYdgA6NY","qL4PrbW1Dq","rJVOvQCfKK","F4yD0voBRQ","keWfFq85dY","w2537kitQq","oDCm7WA9JY","z6LnFrNh4i","WhqkvtTD3t","KbjG8mgYpV","o575Zjdmzy","5twsqlHp2o"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","g55IO6H4Gj","JLbD19bQDL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫖↰⪸25289","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1235, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1235","layer":3},{"info":"compute unary expreesion, input=1235, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1235","layer":2},{"info":"number node, value=1926","layer":4},{"info":"compute unary expreesion, input=1926, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3057","layer":4},{"info":"number node, value=7473","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=7473, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-670, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-1235, right_input=-260, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-195","layer":1},{"info":"number node, value=1737","layer":4},{"info":"number node, value=4834","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=4834, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1311","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=1774, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-28998","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-28998, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2681, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2248","layer":3},{"info":"compute unary expreesion, input=-2248, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=13998","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=13998, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5604","layer":1},{"info":"compute binary expreesion, left_input=-195, right_input=5604, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=50505","layer":0}],"base":12,"result_base":12,"text":"((⪡⇡≛(⫖↰⪸BA8⨎⫖↰⪸86B))%(≯⫖↰⪸1146)⇣⩺⋵⫖↰⪸1929∛⫖↰⪸43A9)≎⊠⪸((⫖↰⪸1009⫉⨲⊜⫖↰⪸296A)⋕⪉⪜(⫖↰⪸913∠↢⫖↰⪸103A)⋻⩜⩜((⫖↰⪸6B6⊢⫖↰⪸1675)⫻⋑⊟))=⫖↰⪸25289","reverse_text":"⫖↰⪸25289=((⪡⇡≛(⫖↰⪸BA8⨎⫖↰⪸86B))%(≯⫖↰⪸1146)⇣⩺⋵⫖↰⪸1929∛⫖↰⪸43A9)≎⊠⪸((⫖↰⪸1009⫉⨲⊜⫖↰⪸296A)⋕⪉⪜(⫖↰⪸913∠↢⫖↰⪸103A)⋻⩜⩜((⫖↰⪸6B6⊢⫖↰⪸1675)⫻⋑⊟))","cot":[{"info":"⫖↰⪸BA8⨎⫖↰⪸86B=⫖↰⪸86B","layer":3},{"info":"⪡⇡≛⫖↰⪸86B=⫖↰⪸-86B","layer":2},{"info":"≯⫖↰⪸1146=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1929∛⫖↰⪸43A9=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸0⇣⩺⋵⫖↰⪸-47A=⫖↰⪸-198","layer":2},{"info":"⫖↰⪸-86B%⫖↰⪸-198=⫖↰⪸-143","layer":1},{"info":"⫖↰⪸1009⫉⨲⊜⫖↰⪸296A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸913∠↢⫖↰⪸103A=⫖↰⪸-14946","layer":3},{"info":"⫖↰⪸0⋕⪉⪜⫖↰⪸-14946=⫖↰⪸1756","layer":2},{"info":"⫖↰⪸6B6⊢⫖↰⪸1675=⫖↰⪸-1374","layer":3},{"info":"⫖↰⪸-1374⫻⋑⊟=⫖↰⪸8126","layer":2},{"info":"⫖↰⪸1756⋻⩜⩜⫖↰⪸8126=⫖↰⪸32B0","layer":1},{"info":"⫖↰⪸-143≎⊠⪸⫖↰⪸32B0=⫖↰⪸25289","layer":0}]}
{"id":894,"expression_no_base_symbol":"(⪭⩑⪱(∓($2565$⫰⋱$4769$)))∽(($3913$≳⇉$2065$)⋕⪉⪜($1072$≥⨤⩑$1698$)+($6837$↱$1821$)∓⋝($3514$∛$2522$))","expression":"(⪭⩑⪱(∓(⫖↰⪸1599⫰⋱⫖↰⪸2915)))∽((⫖↰⪸2321≳⇉⫖↰⪸1241)⋕⪉⪜(⫖↰⪸754≥⨤⩑⫖↰⪸B96)+(⫖↰⪸3B59↱⫖↰⪸1079)∓⋝(⫖↰⪸204A∛⫖↰⪸1562))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":75482603,"operation_count":11,"complexity_ratio":6862054.818181818,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2565,"base":12},"right_expr":{"type":"numeric_atoms","value":4769,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3913,"base":12},"right_expr":{"type":"numeric_atoms","value":2065,"base":12}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1072,"base":12},"right_expr":{"type":"numeric_atoms","value":1698,"base":12}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6837,"base":12},"right_expr":{"type":"numeric_atoms","value":1821,"base":12}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3514,"base":12},"right_expr":{"type":"numeric_atoms","value":2522,"base":12}}}}},"used_operators":["y4ImoPnbV5","SIgE0bArFf","OwUj7dcsQK","6o9Blt3TJ6","W4YGzv6Whe","z6LnFrNh4i","V0kx6qeWkN","gJLn6v0xnP","PoHhknlbAi","SR5kFfdi6N","w2537kitQq"],"dependent_operators":["NTOWxs364D","QMFrweE19q","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⫖↰⪸-11B2474B","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2565","layer":4},{"info":"number node, value=4769","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=4769, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2532","layer":3},{"info":"compute unary expreesion, input=-2532, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=33108","layer":2},{"info":"compute unary expreesion, input=33108, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=3913","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=3913, right_input=2065, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1698, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=6837","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=6837, right_input=1821, 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=-4941","layer":3},{"info":"number node, value=3514","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=3514, right_input=2522, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-4941, right_input=-670, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=67, op_id = W4YGzv6Whe binary_op_definition= 'None', output=271","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=271, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-41604395","layer":0}],"base":12,"result_base":12,"text":"(⪭⩑⪱(∓(⫖↰⪸1599⫰⋱⫖↰⪸2915)))∽((⫖↰⪸2321≳⇉⫖↰⪸1241)⋕⪉⪜(⫖↰⪸754≥⨤⩑⫖↰⪸B96)+(⫖↰⪸3B59↱⫖↰⪸1079)∓⋝(⫖↰⪸204A∛⫖↰⪸1562))=⫖↰⪸-11B2474B","reverse_text":"⫖↰⪸-11B2474B=(⪭⩑⪱(∓(⫖↰⪸1599⫰⋱⫖↰⪸2915)))∽((⫖↰⪸2321≳⇉⫖↰⪸1241)⋕⪉⪜(⫖↰⪸754≥⨤⩑⫖↰⪸B96)+(⫖↰⪸3B59↱⫖↰⪸1079)∓⋝(⫖↰⪸204A∛⫖↰⪸1562))","cot":[{"info":"⫖↰⪸1599⫰⋱⫖↰⪸2915=⫖↰⪸-1570","layer":3},{"info":"∓⫖↰⪸-1570=⫖↰⪸171B0","layer":2},{"info":"⪭⩑⪱⫖↰⪸171B0=⫖↰⪸2953300","layer":1},{"info":"⫖↰⪸2321≳⇉⫖↰⪸1241=NaN","layer":3},{"info":"⫖↰⪸754≥⨤⩑⫖↰⪸B96=⫖↰⪸86A","layer":3},{"info":"NaN⋕⪉⪜⫖↰⪸86A=⫖↰⪸150","layer":2},{"info":"⫖↰⪸3B59↱⫖↰⪸1079=⫖↰⪸-2A39","layer":3},{"info":"⫖↰⪸204A∛⫖↰⪸1562=⫖↰⪸-47A","layer":3},{"info":"⫖↰⪸-2A39∓⋝⫖↰⪸-47A=⫖↰⪸57","layer":2},{"info":"⫖↰⪸150+⫖↰⪸57=⫖↰⪸1A7","layer":1},{"info":"⫖↰⪸2953300∽⫖↰⪸1A7=⫖↰⪸-11B2474B","layer":0}]}
{"id":895,"expression_no_base_symbol":"(($3316$≬⋮$3066$)↬(⊁⨺$4934$)⪨≂(⩦⩻⨪$2374$)∖(↣≠⋷$1393$))⫔⩽⩺(⊑($1014$⩨$4634$))⪮%⊝((∑⇻≧$1151$)⨸⪁$1645$⪚$5435$)","expression":"((⫖↰⪸1B04≬⋮⫖↰⪸1936)↬(⊁⨺⫖↰⪸2A32)⪨≂(⩦⩻⨪⫖↰⪸145A)∖(↣≠⋷⫖↰⪸981))⫔⩽⩺(⊑(⫖↰⪸706⩨⫖↰⪸2822))⪮%⊝((∑⇻≧⫖↰⪸7BB)⨸⪁⫖↰⪸B51⪚⫖↰⪸318B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":498562,"operation_count":14,"complexity_ratio":35611.57142857143,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3316,"base":12},"right_expr":{"type":"numeric_atoms","value":3066,"base":12}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4934,"base":12}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2374,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1393,"base":12}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1014,"base":12},"right_expr":{"type":"numeric_atoms","value":4634,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1151,"base":12}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1645,"base":12},"right_expr":{"type":"numeric_atoms","value":5435,"base":12}}}}},"used_operators":["i9eR4S00cU","sdazOOVcIp","B5M0gjZbta","kbkesczE7y","PxiHyQbrIp","tXD093vOjl","2td37pGCOC","Asc51vEJeQ","IWmyXbctLI","IkUmn0D7oy","2DlMacCsIx","g55IO6H4Gj","l1M9WJ3V7u","HrjLwUk87U"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3316","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=3066, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4934","layer":4},{"info":"compute unary expreesion, input=4934, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2374","layer":4},{"info":"compute unary expreesion, input=2374, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2374","layer":3},{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2374, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1014","layer":4},{"info":"number node, value=4634","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=4634, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"compute unary expreesion, input=-12, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=5435","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=5435, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-7936","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=-7936, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-17576","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-17576, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=700","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=700, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1B04≬⋮⫖↰⪸1936)↬(⊁⨺⫖↰⪸2A32)⪨≂(⩦⩻⨪⫖↰⪸145A)∖(↣≠⋷⫖↰⪸981))⫔⩽⩺(⊑(⫖↰⪸706⩨⫖↰⪸2822))⪮%⊝((∑⇻≧⫖↰⪸7BB)⨸⪁⫖↰⪸B51⪚⫖↰⪸318B)=NaN","reverse_text":"NaN=((⫖↰⪸1B04≬⋮⫖↰⪸1936)↬(⊁⨺⫖↰⪸2A32)⪨≂(⩦⩻⨪⫖↰⪸145A)∖(↣≠⋷⫖↰⪸981))⫔⩽⩺(⊑(⫖↰⪸706⩨⫖↰⪸2822))⪮%⊝((∑⇻≧⫖↰⪸7BB)⨸⪁⫖↰⪸B51⪚⫖↰⪸318B)","cot":[{"info":"⫖↰⪸1B04≬⋮⫖↰⪸1936=⫖↰⪸604","layer":3},{"info":"⊁⨺⫖↰⪸2A32=⫖↰⪸114","layer":3},{"info":"⫖↰⪸604↬⫖↰⪸114=NaN","layer":2},{"info":"⩦⩻⨪⫖↰⪸145A=⫖↰⪸145A","layer":3},{"info":"↣≠⋷⫖↰⪸981=NaN","layer":3},{"info":"⫖↰⪸145A∖NaN=⫖↰⪸0","layer":2},{"info":"NaN⪨≂⫖↰⪸0=NaN","layer":1},{"info":"⫖↰⪸706⩨⫖↰⪸2822=⫖↰⪸-10","layer":3},{"info":"⊑⫖↰⪸-10=⫖↰⪸140","layer":2},{"info":"∑⇻≧⫖↰⪸7BB=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸B51⪚⫖↰⪸318B=⫖↰⪸-4714","layer":3},{"info":"⫖↰⪸-5B0⨸⪁⫖↰⪸-4714=⫖↰⪸-A208","layer":2},{"info":"⫖↰⪸140⪮%⊝⫖↰⪸-A208=⫖↰⪸4A4","layer":1},{"info":"NaN⫔⩽⩺⫖↰⪸4A4=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"(⨡↴($3254$↺$6084$))↓(⨑⩽⪐($2025$⨑≵⋬$2218$))⨳⩥⨓(($7928$⨭⪣$5295$)↳∿⪆($1552$⪉⨛$5342$))⇻⋧≁(↞≼($5264$→⨶⪴$5066$))","expression":"(⨡↴(⫖↰⪸1A72↺⫖↰⪸3630))↓(⨑⩽⪐(⫖↰⪸1209⨑≵⋬⫖↰⪸134A))⨳⩥⨓((⫖↰⪸4708⨭⪣⫖↰⪸3093)↳∿⪆(⫖↰⪸A94⪉⨛⫖↰⪸3112))⇻⋧≁(↞≼(⫖↰⪸3068→⨶⪴⫖↰⪸2B22))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":126613,"operation_count":12,"complexity_ratio":10551.083333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3254,"base":12},"right_expr":{"type":"numeric_atoms","value":6084,"base":12}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2025,"base":12},"right_expr":{"type":"numeric_atoms","value":2218,"base":12}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":7928,"base":12},"right_expr":{"type":"numeric_atoms","value":5295,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1552,"base":12},"right_expr":{"type":"numeric_atoms","value":5342,"base":12}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5264,"base":12},"right_expr":{"type":"numeric_atoms","value":5066,"base":12}}}}},"used_operators":["nCS4ZIUYfx","Af076pWI7l","liw5iZPkLH","7j4O788W3g","AF7qkfDlqP","XnXgA4xnOs","jCPkEVoL5K","Cw4SuJJGHO","kn8WO9XteQ","EWw2JM7wp4","DE7zCoGJt9","bF6eod5Gvf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","8w2t5hMYqp","9FxExcQeMw"],"result":"⫖↰⪸B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3254","layer":4},{"info":"number node, value=6084","layer":4},{"info":"compute binary expreesion, left_input=3254, right_input=6084, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6084","layer":3},{"info":"compute unary expreesion, input=6084, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=7133","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=2218, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-4022","layer":3},{"info":"compute unary expreesion, input=-4022, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8833","layer":2},{"info":"compute binary expreesion, left_input=7133, right_input=8833, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=7928","layer":4},{"info":"number node, value=5295","layer":4},{"info":"compute binary expreesion, left_input=7928, right_input=5295, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=6649","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=5342, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-471","layer":3},{"info":"compute binary expreesion, left_input=6649, right_input=-471, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=5264","layer":4},{"info":"number node, value=5066","layer":4},{"info":"compute binary expreesion, left_input=5264, right_input=5066, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-15198","layer":3},{"info":"compute unary expreesion, input=-15198, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-121998","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-121998, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=134","layer":0}],"base":12,"result_base":12,"text":"(⨡↴(⫖↰⪸1A72↺⫖↰⪸3630))↓(⨑⩽⪐(⫖↰⪸1209⨑≵⋬⫖↰⪸134A))⨳⩥⨓((⫖↰⪸4708⨭⪣⫖↰⪸3093)↳∿⪆(⫖↰⪸A94⪉⨛⫖↰⪸3112))⇻⋧≁(↞≼(⫖↰⪸3068→⨶⪴⫖↰⪸2B22))=⫖↰⪸B2","reverse_text":"⫖↰⪸B2=(⨡↴(⫖↰⪸1A72↺⫖↰⪸3630))↓(⨑⩽⪐(⫖↰⪸1209⨑≵⋬⫖↰⪸134A))⨳⩥⨓((⫖↰⪸4708⨭⪣⫖↰⪸3093)↳∿⪆(⫖↰⪸A94⪉⨛⫖↰⪸3112))⇻⋧≁(↞≼(⫖↰⪸3068→⨶⪴⫖↰⪸2B22))","cot":[{"info":"⫖↰⪸1A72↺⫖↰⪸3630=⫖↰⪸3630","layer":3},{"info":"⨡↴⫖↰⪸3630=⫖↰⪸4165","layer":2},{"info":"⫖↰⪸1209⨑≵⋬⫖↰⪸134A=⫖↰⪸-23B2","layer":3},{"info":"⨑⩽⪐⫖↰⪸-23B2=⫖↰⪸5141","layer":2},{"info":"⫖↰⪸4165↓⫖↰⪸5141=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸4708⨭⪣⫖↰⪸3093=⫖↰⪸3A21","layer":3},{"info":"⫖↰⪸A94⪉⨛⫖↰⪸3112=⫖↰⪸-333","layer":3},{"info":"⫖↰⪸3A21↳∿⪆⫖↰⪸-333=NaN","layer":2},{"info":"⫖↰⪸3068→⨶⪴⫖↰⪸2B22=⫖↰⪸-8966","layer":3},{"info":"↞≼⫖↰⪸-8966=⫖↰⪸-5A726","layer":2},{"info":"NaN⇻⋧≁⫖↰⪸-5A726=⫖↰⪸0","layer":1},{"info":"⫖↰⪸-B2⨳⩥⨓⫖↰⪸0=⫖↰⪸B2","layer":0}]}
{"id":897,"expression_no_base_symbol":"((($1794$↳∿⪆$4717$)∀⊥⇻)∷(⨭⩧⫛$1721$)⪒⊣⊆($1467$↡⊰⫅$2277$))→⨶⪴(((⇋↷$1182$)∘(⨦⪝$1445$))↑)","expression":"(((⫖↰⪸1056↳∿⪆⫖↰⪸2891)∀⊥⇻)∷(⨭⩧⫛⫖↰⪸BB5)⪒⊣⊆(⫖↰⪸A23↡⊰⫅⫖↰⪸1399))→⨶⪴(((⇋↷⫖↰⪸826)∘(⨦⪝⫖↰⪸A05))↑)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34466,"operation_count":11,"complexity_ratio":3133.2727272727275,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1794,"base":12},"right_expr":{"type":"numeric_atoms","value":4717,"base":12}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1721,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1467,"base":12},"right_expr":{"type":"numeric_atoms","value":2277,"base":12}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1182,"base":12}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1445,"base":12}}}}},"used_operators":["bF6eod5Gvf","D3AQDKkPcf","k4iM1060OG","Cw4SuJJGHO","eRqsBgTDFp","g21JL6JxX7","VCtxkLNOzz","BThhyOhh10","Z5m6OM72h2","SWo3A1KBJH","SUjycxNXIR"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","NTOWxs364D","7j4O788W3g","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","eH2TOUuTDT","rysDP5nf3Z","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"⫖↰⪸-476","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1794","layer":4},{"info":"number node, value=4717","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=4717, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":2},{"info":"number node, value=1721","layer":4},{"info":"compute unary expreesion, input=1721, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=1467","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=2277, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4554","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4554, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=1182","layer":4},{"info":"compute unary expreesion, input=1182, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=9456","layer":3},{"info":"number node, value=1445","layer":4},{"info":"compute unary expreesion, input=1445, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=9456, right_input=-1884, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-9076","layer":2},{"info":"compute unary expreesion, input=-9076, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-666","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1056↳∿⪆⫖↰⪸2891)∀⊥⇻)∷(⨭⩧⫛⫖↰⪸BB5)⪒⊣⊆(⫖↰⪸A23↡⊰⫅⫖↰⪸1399))→⨶⪴(((⇋↷⫖↰⪸826)∘(⨦⪝⫖↰⪸A05))↑)=⫖↰⪸-476","reverse_text":"⫖↰⪸-476=(((⫖↰⪸1056↳∿⪆⫖↰⪸2891)∀⊥⇻)∷(⨭⩧⫛⫖↰⪸BB5)⪒⊣⊆(⫖↰⪸A23↡⊰⫅⫖↰⪸1399))→⨶⪴(((⇋↷⫖↰⪸826)∘(⨦⪝⫖↰⪸A05))↑)","cot":[{"info":"⫖↰⪸1056↳∿⪆⫖↰⪸2891=NaN","layer":3},{"info":"NaN∀⊥⇻=NaN","layer":2},{"info":"⨭⩧⫛⫖↰⪸BB5=NaN","layer":3},{"info":"⫖↰⪸A23↡⊰⫅⫖↰⪸1399=⫖↰⪸2776","layer":3},{"info":"NaN⪒⊣⊆⫖↰⪸2776=NaN","layer":2},{"info":"NaN∷NaN=NaN","layer":1},{"info":"⇋↷⫖↰⪸826=⫖↰⪸5580","layer":3},{"info":"⨦⪝⫖↰⪸A05=⫖↰⪸-1110","layer":3},{"info":"⫖↰⪸5580∘⫖↰⪸-1110=⫖↰⪸-5304","layer":2},{"info":"⫖↰⪸-5304↑=⫖↰⪸166","layer":1},{"info":"NaN→⨶⪴⫖↰⪸166=⫖↰⪸-476","layer":0}]}
{"id":898,"expression_no_base_symbol":"($1082$⩁⩘$4147$⪥($1508$≣⋋))∊∟⩊(∓$1445$≁↽≥$5025$)⋻⩜⩜(($4442$∺≝⩲$1832$)⪝(⩰$7320$)⊝)","expression":"(⫖↰⪸762⩁⩘⫖↰⪸2497⪥(⫖↰⪸A58≣⋋))∊∟⩊(∓⫖↰⪸A05≁↽≥⫖↰⪸2AA9)⋻⩜⩜((⫖↰⪸26A2∺≝⩲⫖↰⪸1088)⪝(⩰⫖↰⪸42A0)⊝)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":481506,"operation_count":11,"complexity_ratio":43773.27272727273,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1082,"base":12},"right_expr":{"type":"numeric_atoms","value":4147,"base":12}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1508,"base":12}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1445,"base":12},"right_expr":{"type":"numeric_atoms","value":5025,"base":12}}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4442,"base":12},"right_expr":{"type":"numeric_atoms","value":1832,"base":12}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":7320,"base":12}}}}},"used_operators":["oDCm7WA9JY","ddLRYrp01A","QbnwKVWMIQ","gub5Cegaqo","Tcnh7f0tEr","OwUj7dcsQK","ncHt1X6cMc","O6EZ0fifGK","wicAB68Tmb","KPf6cnQVty","WkeUrDK8WX"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DpFCA1CohY","IWmyXbctLI","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=4147, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17536","layer":3},{"info":"number node, value=1508","layer":4},{"info":"compute unary expreesion, input=1508, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=17536, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"number node, value=1445","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=5025, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=31607","layer":3},{"info":"compute unary expreesion, input=31607, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-478977","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-478977, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-478977","layer":1},{"info":"number node, value=4442","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=1832, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=7320","layer":4},{"info":"compute unary expreesion, input=7320, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-8320","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-8320, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-34319","layer":2},{"info":"compute unary expreesion, input=-34319, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-34319","layer":1},{"info":"compute binary expreesion, left_input=-478977, right_input=-34319, 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":12,"result_base":12,"text":"(⫖↰⪸762⩁⩘⫖↰⪸2497⪥(⫖↰⪸A58≣⋋))∊∟⩊(∓⫖↰⪸A05≁↽≥⫖↰⪸2AA9)⋻⩜⩜((⫖↰⪸26A2∺≝⩲⫖↰⪸1088)⪝(⩰⫖↰⪸42A0)⊝)=NaN","reverse_text":"NaN=(⫖↰⪸762⩁⩘⫖↰⪸2497⪥(⫖↰⪸A58≣⋋))∊∟⩊(∓⫖↰⪸A05≁↽≥⫖↰⪸2AA9)⋻⩜⩜((⫖↰⪸26A2∺≝⩲⫖↰⪸1088)⪝(⩰⫖↰⪸42A0)⊝)","cot":[{"info":"⫖↰⪸762⩁⩘⫖↰⪸2497=⫖↰⪸A194","layer":3},{"info":"⫖↰⪸A58≣⋋=⫖↰⪸0","layer":3},{"info":"⫖↰⪸A194⪥⫖↰⪸0=⫖↰⪸-98","layer":2},{"info":"⫖↰⪸A05≁↽≥⫖↰⪸2AA9=⫖↰⪸1635B","layer":3},{"info":"∓⫖↰⪸1635B=⫖↰⪸-1B1229","layer":2},{"info":"⫖↰⪸-98∊∟⩊⫖↰⪸-1B1229=⫖↰⪸-1B1229","layer":1},{"info":"⫖↰⪸26A2∺≝⩲⫖↰⪸1088=⫖↰⪸114","layer":3},{"info":"⩰⫖↰⪸42A0=⫖↰⪸-4994","layer":3},{"info":"⫖↰⪸114⪝⫖↰⪸-4994=⫖↰⪸-17A3B","layer":2},{"info":"⫖↰⪸-17A3B⊝=⫖↰⪸-17A3B","layer":1},{"info":"⫖↰⪸-1B1229⋻⩜⩜⫖↰⪸-17A3B=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"(((↽≂$1582$)⋥≓≎$1122$⇤$3361$)↳∿⪆($2272$⩤)≁↽≥($5087$⊉≛↸$5056$))⩱","expression":"(((↽≂⫖↰⪸ABA)⋥≓≎⫖↰⪸796⇤⫖↰⪸1B41)↳∿⪆(⫖↰⪸1394⩤)≁↽≥(⫖↰⪸2B3B⊉≛↸⫖↰⪸2B14))⩱","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2909,"operation_count":8,"complexity_ratio":363.625,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1582,"base":12}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1122,"base":12},"right_expr":{"type":"numeric_atoms","value":3361,"base":12}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2272,"base":12}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5087,"base":12},"right_expr":{"type":"numeric_atoms","value":5056,"base":12}}}}},"used_operators":["uyq1hVkAcj","Cw4SuJJGHO","Qy55tPpLXF","u6S6b8DprG","YSKBFp38Pu","ncHt1X6cMc","Z2TMIBDE3Q","DZ8iAZOCBD"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3164","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=3361, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-19567","layer":3},{"info":"compute binary expreesion, left_input=-3164, right_input=-19567, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=2272","layer":4},{"info":"compute unary expreesion, input=2272, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2272","layer":3},{"info":"number node, value=5087","layer":4},{"info":"number node, value=5056","layer":4},{"info":"compute binary expreesion, left_input=5087, right_input=5056, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10174","layer":3},{"info":"compute binary expreesion, left_input=-2272, right_input=10174, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-24148","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-24148, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((↽≂⫖↰⪸ABA)⋥≓≎⫖↰⪸796⇤⫖↰⪸1B41)↳∿⪆(⫖↰⪸1394⩤)≁↽≥(⫖↰⪸2B3B⊉≛↸⫖↰⪸2B14))⩱=NaN","reverse_text":"NaN=(((↽≂⫖↰⪸ABA)⋥≓≎⫖↰⪸796⇤⫖↰⪸1B41)↳∿⪆(⫖↰⪸1394⩤)≁↽≥(⫖↰⪸2B3B⊉≛↸⫖↰⪸2B14))⩱","cot":[{"info":"↽≂⫖↰⪸ABA=⫖↰⪸-19B8","layer":3},{"info":"⫖↰⪸796⇤⫖↰⪸1B41=⫖↰⪸-B3A7","layer":3},{"info":"⫖↰⪸-19B8⋥≓≎⫖↰⪸-B3A7=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1394⩤=⫖↰⪸-1394","layer":3},{"info":"⫖↰⪸2B3B⊉≛↸⫖↰⪸2B14=⫖↰⪸5A7A","layer":3},{"info":"⫖↰⪸-1394≁↽≥⫖↰⪸5A7A=⫖↰⪸-11B84","layer":2},{"info":"⫖↰⪸57↳∿⪆⫖↰⪸-11B84=NaN","layer":1},{"info":"NaN⩱=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"((∟⋨($1605$⨒$1256$))∑⇟⊟((⊆⋠$6603$)↫))⊉↱≁(($2812$↰)⩒⫫$3586$⩘$1398$⩟)","expression":"((∟⋨(⫖↰⪸B19⨒⫖↰⪸888))∑⇟⊟((⊆⋠⫖↰⪸39A3)↫))⊉↱≁((⫖↰⪸1764↰)⩒⫫⫖↰⪸20AA⩘⫖↰⪸986⩟)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":43999,"operation_count":10,"complexity_ratio":4399.9,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1605,"base":12},"right_expr":{"type":"numeric_atoms","value":1256,"base":12}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":6603,"base":12}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":2812,"base":12}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3586,"base":12},"right_expr":{"type":"numeric_atoms","value":1398,"base":12}}}}},"used_operators":["w2P8NbNXyL","U7g4x0WXJJ","ctOc4cKSDt","y75s1iXyHd","uPb5QRN0te","EBhcHTkKd8","fOIeswaMU4","KFSx94NKJn","bl5wxAcryP","cHh1gJQ2o6"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","tmPS8pqC7x","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","nCS4ZIUYfx","Z2TMIBDE3Q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1605","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=1256, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-9258","layer":3},{"info":"compute unary expreesion, input=-9258, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=9742","layer":2},{"info":"number node, value=6603","layer":4},{"info":"compute unary expreesion, input=6603, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=9742, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2812","layer":4},{"info":"compute unary expreesion, input=2812, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=2711","layer":3},{"info":"number node, value=3586","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=3586, right_input=1398, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2711, right_input=160, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2409","layer":2},{"info":"compute unary expreesion, input=2409, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-20454","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20454, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∟⋨(⫖↰⪸B19⨒⫖↰⪸888))∑⇟⊟((⊆⋠⫖↰⪸39A3)↫))⊉↱≁((⫖↰⪸1764↰)⩒⫫⫖↰⪸20AA⩘⫖↰⪸986⩟)=NaN","reverse_text":"NaN=((∟⋨(⫖↰⪸B19⨒⫖↰⪸888))∑⇟⊟((⊆⋠⫖↰⪸39A3)↫))⊉↱≁((⫖↰⪸1764↰)⩒⫫⫖↰⪸20AA⩘⫖↰⪸986⩟)","cot":[{"info":"⫖↰⪸B19⨒⫖↰⪸888=⫖↰⪸-5436","layer":3},{"info":"∟⋨⫖↰⪸-5436=⫖↰⪸577A","layer":2},{"info":"⊆⋠⫖↰⪸39A3=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0↫=⫖↰⪸114","layer":2},{"info":"⫖↰⪸577A∑⇟⊟⫖↰⪸114=NaN","layer":1},{"info":"⫖↰⪸1764↰=⫖↰⪸169B","layer":3},{"info":"⫖↰⪸20AA⩘⫖↰⪸986=⫖↰⪸114","layer":3},{"info":"⫖↰⪸169B⩒⫫⫖↰⪸114=⫖↰⪸1489","layer":2},{"info":"⫖↰⪸1489⩟=⫖↰⪸-BA06","layer":1},{"info":"NaN⊉↱≁⫖↰⪸-BA06=NaN","layer":0}]}
{"id":901,"expression_no_base_symbol":"((⨈⫕$1898$)⨰$5054$+⪬∐$7805$≓∲(⨩∲⋌$7938$)⇄($1315$∠↢$5702$))⩦($7807$∇⊂⋱$1610$⊨$3549$⊋$2713$⋥≓≎(⩷$1353$)⨟⋌⩍($4836$⪛⫼$7343$))","expression":"((⨈⫕⫖↰⪸1122)⨰⫖↰⪸2B12+⪬∐⫖↰⪸4625≓∲(⨩∲⋌⫖↰⪸4716)⇄(⫖↰⪸917∠↢⫖↰⪸3372))⩦(⫖↰⪸4627∇⊂⋱⫖↰⪸B22⊨⫖↰⪸2079⊋⫖↰⪸16A1⋥≓≎(⩷⫖↰⪸949)⨟⋌⩍(⫖↰⪸2970⪛⫼⫖↰⪸42BB))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6851,"operation_count":15,"complexity_ratio":456.73333333333335,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1898,"base":12}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5054,"base":12},"right_expr":{"type":"numeric_atoms","value":7805,"base":12}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":7938,"base":12}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1315,"base":12},"right_expr":{"type":"numeric_atoms","value":5702,"base":12}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7807,"base":12},"right_expr":{"type":"numeric_atoms","value":1610,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3549,"base":12},"right_expr":{"type":"numeric_atoms","value":2713,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1353,"base":12}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4836,"base":12},"right_expr":{"type":"numeric_atoms","value":7343,"base":12}}}}},"used_operators":["0kmYd0q39Y","s1XTVnmDOJ","eewbuw0ToL","megm06wKyl","2GS7woTJqF","3EYGwJThht","aSik1wnThz","KbjG8mgYpV","Qy55tPpLXF","vg4gO5BX6G","nhYeJWJD5X","W4tP9CfskL","rGHVDoGpnC","1h0rLqGiFr","hyuBjUqXlG"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Tcnh7f0tEr","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⫖↰⪸-2614677","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1898","layer":4},{"info":"compute unary expreesion, input=1898, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=5054","layer":4},{"info":"number node, value=7805","layer":4},{"info":"compute binary expreesion, left_input=5054, right_input=7805, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-15162","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-15162, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=15151","layer":2},{"info":"number node, value=7938","layer":4},{"info":"compute unary expreesion, input=7938, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-8461","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=5702","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=5702, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-84006","layer":3},{"info":"compute binary expreesion, left_input=-8461, right_input=-84006, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=15151, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-773768","layer":1},{"info":"number node, value=7807","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=7807, right_input=1610, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=15068","layer":3},{"info":"number node, value=3549","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=3549, right_input=2713, 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=18427500","layer":3},{"info":"compute binary expreesion, left_input=15068, right_input=18427500, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=61303","layer":2},{"info":"number node, value=1353","layer":4},{"info":"compute unary expreesion, input=1353, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-16315","layer":3},{"info":"number node, value=4836","layer":4},{"info":"number node, value=7343","layer":4},{"info":"compute binary expreesion, left_input=4836, right_input=7343, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-16315, right_input=968, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=61303, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-61270","layer":1},{"info":"compute binary expreesion, left_input=-773768, right_input=-61270, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-7493563","layer":0}],"base":12,"result_base":12,"text":"((⨈⫕⫖↰⪸1122)⨰⫖↰⪸2B12+⪬∐⫖↰⪸4625≓∲(⨩∲⋌⫖↰⪸4716)⇄(⫖↰⪸917∠↢⫖↰⪸3372))⩦(⫖↰⪸4627∇⊂⋱⫖↰⪸B22⊨⫖↰⪸2079⊋⫖↰⪸16A1⋥≓≎(⩷⫖↰⪸949)⨟⋌⩍(⫖↰⪸2970⪛⫼⫖↰⪸42BB))=⫖↰⪸-2614677","reverse_text":"⫖↰⪸-2614677=((⨈⫕⫖↰⪸1122)⨰⫖↰⪸2B12+⪬∐⫖↰⪸4625≓∲(⨩∲⋌⫖↰⪸4716)⇄(⫖↰⪸917∠↢⫖↰⪸3372))⩦(⫖↰⪸4627∇⊂⋱⫖↰⪸B22⊨⫖↰⪸2079⊋⫖↰⪸16A1⋥≓≎(⩷⫖↰⪸949)⨟⋌⩍(⫖↰⪸2970⪛⫼⫖↰⪸42BB))","cot":[{"info":"⨈⫕⫖↰⪸1122=⫖↰⪸-19","layer":3},{"info":"⫖↰⪸2B12+⪬∐⫖↰⪸4625=⫖↰⪸-8936","layer":3},{"info":"⫖↰⪸-19⨰⫖↰⪸-8936=⫖↰⪸8927","layer":2},{"info":"⨩∲⋌⫖↰⪸4716=⫖↰⪸-4A91","layer":3},{"info":"⫖↰⪸917∠↢⫖↰⪸3372=⫖↰⪸-40746","layer":3},{"info":"⫖↰⪸-4A91⇄⫖↰⪸-40746=⫖↰⪸0","layer":2},{"info":"⫖↰⪸8927≓∲⫖↰⪸0=⫖↰⪸-313948","layer":1},{"info":"⫖↰⪸4627∇⊂⋱⫖↰⪸B22=⫖↰⪸8878","layer":3},{"info":"⫖↰⪸2079⊋⫖↰⪸16A1=⫖↰⪸6208090","layer":3},{"info":"⫖↰⪸8878⊨⫖↰⪸6208090=⫖↰⪸2B587","layer":2},{"info":"⩷⫖↰⪸949=⫖↰⪸-9537","layer":3},{"info":"⫖↰⪸2970⪛⫼⫖↰⪸42BB=⫖↰⪸688","layer":3},{"info":"⫖↰⪸-9537⨟⋌⩍⫖↰⪸688=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2B587⋥≓≎⫖↰⪸0=⫖↰⪸-2B55A","layer":1},{"info":"⫖↰⪸-313948⩦⫖↰⪸-2B55A=⫖↰⪸-2614677","layer":0}]}
{"id":902,"expression_no_base_symbol":"(∜⨇($3642$⨔⇊$1810$⊝⪿⪼($2834$⪔$3375$)))⩟","expression":"(∜⨇(⫖↰⪸2136⨔⇊⫖↰⪸106A⊝⪿⪼(⫖↰⪸1782⪔⫖↰⪸1B53)))⩟","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3568,"operation_count":5,"complexity_ratio":713.6,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3642,"base":12},"right_expr":{"type":"numeric_atoms","value":1810,"base":12}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2834,"base":12},"right_expr":{"type":"numeric_atoms","value":3375,"base":12}}}}},"used_operators":["fOIeswaMU4","uFPyJr306J","3Oe9XWJUTD","JclMnS0uGI","GjBEYRfMaF"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3642","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=1810, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1810","layer":3},{"info":"number node, value=2834","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=3375, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=1810, right_input=450, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=32474","layer":2},{"info":"compute unary expreesion, input=32474, 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 = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∜⨇(⫖↰⪸2136⨔⇊⫖↰⪸106A⊝⪿⪼(⫖↰⪸1782⪔⫖↰⪸1B53)))⩟=NaN","reverse_text":"NaN=(∜⨇(⫖↰⪸2136⨔⇊⫖↰⪸106A⊝⪿⪼(⫖↰⪸1782⪔⫖↰⪸1B53)))⩟","cot":[{"info":"⫖↰⪸2136⨔⇊⫖↰⪸106A=⫖↰⪸106A","layer":3},{"info":"⫖↰⪸1782⪔⫖↰⪸1B53=⫖↰⪸316","layer":3},{"info":"⫖↰⪸106A⊝⪿⪼⫖↰⪸316=⫖↰⪸16962","layer":2},{"info":"∜⨇⫖↰⪸16962=NaN","layer":1},{"info":"NaN⩟=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"($1862$≎⪠$1801$⩧⪆($4263$⪔$3918$)⊹∫⫚(⊙↵-($1678$⋓$4138$)))≨(($1016$≬⋮$1844$)≁↽≥($5247$∙∹∝$4764$)⊴($3827$⫉⨲⊜$8822$∲⫓$1339$⩌⋺$3484$))","expression":"(⫖↰⪸10B2≎⪠⫖↰⪸1061⩧⪆(⫖↰⪸2573⪔⫖↰⪸2326)⊹∫⫚(⊙↵-(⫖↰⪸B7A⋓⫖↰⪸248A)))≨((⫖↰⪸708≬⋮⫖↰⪸1098)≁↽≥(⫖↰⪸3053∙∹∝⫖↰⪸2910)⊴(⫖↰⪸226B⫉⨲⊜⫖↰⪸5132∲⫓⫖↰⪸937⩌⋺⫖↰⪸2024))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23335,"operation_count":14,"complexity_ratio":1666.7857142857142,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1862,"base":12},"right_expr":{"type":"numeric_atoms","value":1801,"base":12}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4263,"base":12},"right_expr":{"type":"numeric_atoms","value":3918,"base":12}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1678,"base":12},"right_expr":{"type":"numeric_atoms","value":4138,"base":12}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1016,"base":12},"right_expr":{"type":"numeric_atoms","value":1844,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5247,"base":12},"right_expr":{"type":"numeric_atoms","value":4764,"base":12}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3827,"base":12},"right_expr":{"type":"numeric_atoms","value":8822,"base":12}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1339,"base":12},"right_expr":{"type":"numeric_atoms","value":3484,"base":12}}}}},"used_operators":["0KMCeP1Jsh","uWAJUKEvyW","Ikt5ks8PT7","aNhz54LH3e","GjBEYRfMaF","oWn0xqSxBt","T2fj7uvVaJ","Nsiff2A1zJ","ncHt1X6cMc","kbkesczE7y","HmxsFra2vL","i8ToyICDmI","WhqkvtTD3t","g7Hmc5v1ko"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eewbuw0ToL","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","oWn0xqSxBt","3Oe9XWJUTD","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⫖↰⪸1524","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1862","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=1801, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=4263","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=4263, right_input=3918, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=450, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-450","layer":2},{"info":"number node, value=1678","layer":4},{"info":"number node, value=4138","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=4138, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-450, right_input=0, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":1},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1844, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=5247","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=5247, right_input=4764, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"number node, value=3827","layer":4},{"info":"number node, value=8822","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=8822, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=3484","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=3484, 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=-4944","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4944, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-79, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸10B2≎⪠⫖↰⪸1061⩧⪆(⫖↰⪸2573⪔⫖↰⪸2326)⊹∫⫚(⊙↵-(⫖↰⪸B7A⋓⫖↰⪸248A)))≨((⫖↰⪸708≬⋮⫖↰⪸1098)≁↽≥(⫖↰⪸3053∙∹∝⫖↰⪸2910)⊴(⫖↰⪸226B⫉⨲⊜⫖↰⪸5132∲⫓⫖↰⪸937⩌⋺⫖↰⪸2024))=⫖↰⪸1524","reverse_text":"⫖↰⪸1524=(⫖↰⪸10B2≎⪠⫖↰⪸1061⩧⪆(⫖↰⪸2573⪔⫖↰⪸2326)⊹∫⫚(⊙↵-(⫖↰⪸B7A⋓⫖↰⪸248A)))≨((⫖↰⪸708≬⋮⫖↰⪸1098)≁↽≥(⫖↰⪸3053∙∹∝⫖↰⪸2910)⊴(⫖↰⪸226B⫉⨲⊜⫖↰⪸5132∲⫓⫖↰⪸937⩌⋺⫖↰⪸2024))","cot":[{"info":"⫖↰⪸10B2≎⪠⫖↰⪸1061=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸2573⪔⫖↰⪸2326=⫖↰⪸316","layer":3},{"info":"⫖↰⪸B39A⩧⪆⫖↰⪸316=⫖↰⪸-316","layer":2},{"info":"⫖↰⪸B7A⋓⫖↰⪸248A=⫖↰⪸0","layer":3},{"info":"⊙↵-⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸-316⊹∫⫚⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⫖↰⪸708≬⋮⫖↰⪸1098=⫖↰⪸604","layer":3},{"info":"⫖↰⪸3053∙∹∝⫖↰⪸2910=⫖↰⪸0","layer":3},{"info":"⫖↰⪸604≁↽≥⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸226B⫉⨲⊜⫖↰⪸5132=⫖↰⪸0","layer":3},{"info":"⫖↰⪸937⩌⋺⫖↰⪸2024=⫖↰⪸-2A40","layer":3},{"info":"⫖↰⪸0∲⫓⫖↰⪸-2A40=⫖↰⪸0","layer":2},{"info":"⫖↰⪸0⊴⫖↰⪸0=⫖↰⪸-67","layer":1},{"info":"⫖↰⪸0≨⫖↰⪸-67=⫖↰⪸1524","layer":0}]}
{"id":904,"expression_no_base_symbol":"($4177$∌$2131$)⩦($3812$⫰⋱$2527$)∑⇟⊟((↥$2574$)∑⇟⊟$1013$↳≱$1053$)⊹∫⫚((⊥$7751$⪒⊣⊆$1618$)∙∹∝($5798$↙$1110$)⋾⨃∁$5456$⊮⊟↴$1919$)","expression":"(⫖↰⪸2501∌⫖↰⪸1297)⩦(⫖↰⪸2258⫰⋱⫖↰⪸1567)∑⇟⊟((↥⫖↰⪸15A6)∑⇟⊟⫖↰⪸705↳≱⫖↰⪸739)⊹∫⫚((⊥⫖↰⪸459B⪒⊣⊆⫖↰⪸B2A)∙∹∝(⫖↰⪸3432↙⫖↰⪸786)⋾⨃∁⫖↰⪸31A8⊮⊟↴⫖↰⪸113B)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":10959,"operation_count":14,"complexity_ratio":782.7857142857143,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4177,"base":12},"right_expr":{"type":"numeric_atoms","value":2131,"base":12}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3812,"base":12},"right_expr":{"type":"numeric_atoms","value":2527,"base":12}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2574,"base":12}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1013,"base":12},"right_expr":{"type":"numeric_atoms","value":1053,"base":12}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":7751,"base":12},"right_expr":{"type":"numeric_atoms","value":1618,"base":12}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5798,"base":12},"right_expr":{"type":"numeric_atoms","value":1110,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5456,"base":12},"right_expr":{"type":"numeric_atoms","value":1919,"base":12}}}}},"used_operators":["uWAJUKEvyW","U7g4x0WXJJ","0kmYd0q39Y","8cLx32lpNA","6o9Blt3TJ6","A8NUZmVepG","JwTKLfZU96","HmxsFra2vL","Q3PJZHRvZv","eRqsBgTDFp","212REbPD9h","yyfyN0ffXY","QDVgd2eftb"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","k8jYdgA6NY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","fu6greOZ01","sdazOOVcIp","W4YGzv6Whe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4177","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=4177, right_input=2131, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2131","layer":3},{"info":"number node, value=3812","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=3812, right_input=2527, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3779","layer":3},{"info":"compute binary expreesion, left_input=-2131, right_input=-3779, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-7157","layer":2},{"info":"number node, value=2574","layer":4},{"info":"compute unary expreesion, input=2574, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1053, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=24, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=24","layer":2},{"info":"compute binary expreesion, left_input=-7157, right_input=24, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=7751","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=7751, right_input=1618, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=15502","layer":3},{"info":"compute unary expreesion, input=15502, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=5798","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=5798, right_input=1110, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3330","layer":3},{"info":"number node, value=5456","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=1919, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3330, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2501∌⫖↰⪸1297)⩦(⫖↰⪸2258⫰⋱⫖↰⪸1567)∑⇟⊟((↥⫖↰⪸15A6)∑⇟⊟⫖↰⪸705↳≱⫖↰⪸739)⊹∫⫚((⊥⫖↰⪸459B⪒⊣⊆⫖↰⪸B2A)∙∹∝(⫖↰⪸3432↙⫖↰⪸786)⋾⨃∁⫖↰⪸31A8⊮⊟↴⫖↰⪸113B)=NaN","reverse_text":"NaN=(⫖↰⪸2501∌⫖↰⪸1297)⩦(⫖↰⪸2258⫰⋱⫖↰⪸1567)∑⇟⊟((↥⫖↰⪸15A6)∑⇟⊟⫖↰⪸705↳≱⫖↰⪸739)⊹∫⫚((⊥⫖↰⪸459B⪒⊣⊆⫖↰⪸B2A)∙∹∝(⫖↰⪸3432↙⫖↰⪸786)⋾⨃∁⫖↰⪸31A8⊮⊟↴⫖↰⪸113B)","cot":[{"info":"⫖↰⪸2501∌⫖↰⪸1297=⫖↰⪸-1297","layer":3},{"info":"⫖↰⪸2258⫰⋱⫖↰⪸1567=⫖↰⪸-222B","layer":3},{"info":"⫖↰⪸-1297⩦⫖↰⪸-222B=⫖↰⪸-4185","layer":2},{"info":"↥⫖↰⪸15A6=⫖↰⪸20","layer":3},{"info":"⫖↰⪸705↳≱⫖↰⪸739=⫖↰⪸0","layer":3},{"info":"⫖↰⪸20∑⇟⊟⫖↰⪸0=⫖↰⪸20","layer":2},{"info":"⫖↰⪸-4185∑⇟⊟⫖↰⪸20=NaN","layer":1},{"info":"⫖↰⪸459B⪒⊣⊆⫖↰⪸B2A=⫖↰⪸8B7A","layer":3},{"info":"⊥⫖↰⪸8B7A=NaN","layer":2},{"info":"⫖↰⪸3432↙⫖↰⪸786=⫖↰⪸-1B16","layer":3},{"info":"⫖↰⪸31A8⊮⊟↴⫖↰⪸113B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-1B16⋾⨃∁⫖↰⪸0=⫖↰⪸114","layer":2},{"info":"NaN∙∹∝⫖↰⪸114=NaN","layer":1},{"info":"NaN⊹∫⫚NaN=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"((⊈(⨦⪝$3150$))∕⩚($2342$⪮%⊝$8913$)⊋($1545$⇼⇔∾$1356$))⫦⪉((($3811$⋻⩜⩜$4587$)∙⊟$6528$⇡⇂$2035$)⨉)","expression":"((⊈(⨦⪝⫖↰⪸19A6))∕⩚(⫖↰⪸1432⪮%⊝⫖↰⪸51A9)⊋(⫖↰⪸A89⇼⇔∾⫖↰⪸950))⫦⪉(((⫖↰⪸2257⋻⩜⩜⫖↰⪸27A3)∙⊟⫖↰⪸3940⇡⇂⫖↰⪸1217)⨉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":190783,"operation_count":11,"complexity_ratio":17343.909090909092,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3150,"base":12}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2342,"base":12},"right_expr":{"type":"numeric_atoms","value":8913,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1545,"base":12},"right_expr":{"type":"numeric_atoms","value":1356,"base":12}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3811,"base":12},"right_expr":{"type":"numeric_atoms","value":4587,"base":12}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6528,"base":12},"right_expr":{"type":"numeric_atoms","value":2035,"base":12}}}}},"used_operators":["wscyQdcy20","z9ffQ9n5Zr","RHru8klgy8","SUjycxNXIR","W4tP9CfskL","IWmyXbctLI","tifHPKVTfV","aMUSaJuDRU","SxTAKzQCrw","oDCm7WA9JY","UMwdvZNt44"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","12rbrZMWeM","xUOZtlo3hN","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⫖↰⪸2950","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3150","layer":4},{"info":"compute unary expreesion, input=3150, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=1710","layer":2},{"info":"number node, value=2342","layer":4},{"info":"number node, value=8913","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=8913, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5000","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=1356, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-189","layer":3},{"info":"compute binary expreesion, left_input=5000, right_input=-189, 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=-9234","layer":2},{"info":"compute binary expreesion, left_input=1710, right_input=-9234, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=3811","layer":4},{"info":"number node, value=4587","layer":4},{"info":"compute binary expreesion, left_input=3811, right_input=4587, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7622","layer":3},{"info":"number node, value=6528","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=6528, right_input=2035, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7622, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=108932","layer":2},{"info":"compute unary expreesion, input=108932, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=220192","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=220192, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4812","layer":0}],"base":12,"result_base":12,"text":"((⊈(⨦⪝⫖↰⪸19A6))∕⩚(⫖↰⪸1432⪮%⊝⫖↰⪸51A9)⊋(⫖↰⪸A89⇼⇔∾⫖↰⪸950))⫦⪉(((⫖↰⪸2257⋻⩜⩜⫖↰⪸27A3)∙⊟⫖↰⪸3940⇡⇂⫖↰⪸1217)⨉)=⫖↰⪸2950","reverse_text":"⫖↰⪸2950=((⊈(⨦⪝⫖↰⪸19A6))∕⩚(⫖↰⪸1432⪮%⊝⫖↰⪸51A9)⊋(⫖↰⪸A89⇼⇔∾⫖↰⪸950))⫦⪉(((⫖↰⪸2257⋻⩜⩜⫖↰⪸27A3)∙⊟⫖↰⪸3940⇡⇂⫖↰⪸1217)⨉)","cot":[{"info":"⨦⪝⫖↰⪸19A6=⫖↰⪸-1110","layer":3},{"info":"⊈⫖↰⪸-1110=⫖↰⪸BA6","layer":2},{"info":"⫖↰⪸1432⪮%⊝⫖↰⪸51A9=⫖↰⪸2A88","layer":3},{"info":"⫖↰⪸A89⇼⇔∾⫖↰⪸950=⫖↰⪸-139","layer":3},{"info":"⫖↰⪸2A88⊋⫖↰⪸-139=⫖↰⪸-5416","layer":2},{"info":"⫖↰⪸BA6∕⩚⫖↰⪸-5416=⫖↰⪸-347","layer":1},{"info":"⫖↰⪸2257⋻⩜⩜⫖↰⪸27A3=⫖↰⪸44B2","layer":3},{"info":"⫖↰⪸3940⇡⇂⫖↰⪸1217=NaN","layer":3},{"info":"⫖↰⪸44B2∙⊟NaN=⫖↰⪸53058","layer":2},{"info":"⫖↰⪸53058⨉=⫖↰⪸A7514","layer":1},{"info":"⫖↰⪸-347⫦⪉⫖↰⪸A7514=⫖↰⪸2950","layer":0}]}
{"id":906,"expression_no_base_symbol":"($1146$≀⫉$1881$)⩍⋽⫝̸($1219$⪣⫩)⨐⩸⫘(⋃$1610$)⨚⇆($1135$⨓$7131$)⫚↹⊑(∥⊫($2891$⨻⩈⩔$1524$)⊬⨰($3633$↦))","expression":"(⫖↰⪸7B6≀⫉⫖↰⪸1109)⩍⋽⫝̸(⫖↰⪸857⪣⫩)⨐⩸⫘(⋃⫖↰⪸B22)⨚⇆(⫖↰⪸7A7⨓⫖↰⪸4163)⫚↹⊑(∥⊫(⫖↰⪸180B⨻⩈⩔⫖↰⪸A70)⊬⨰(⫖↰⪸2129↦))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":256187,"operation_count":12,"complexity_ratio":21348.916666666668,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1146,"base":12},"right_expr":{"type":"numeric_atoms","value":1881,"base":12}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1219,"base":12}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1610,"base":12}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1135,"base":12},"right_expr":{"type":"numeric_atoms","value":7131,"base":12}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2891,"base":12},"right_expr":{"type":"numeric_atoms","value":1524,"base":12}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":3633,"base":12}}}}},"used_operators":["dfKe02y8D2","fu6greOZ01","BiWNJpBvwn","oZj3VtZNQx","iuk5sVOGFA","lwHaAYXP2r","3mBM5G4a3l","3ViojmjbAp","P8v4zCKN1o","s3Fd5m9Dh2","nEsXyWgiOK","fFznvYxMfW"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g55IO6H4Gj","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1881, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=3624","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=3624, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2678","layer":2},{"info":"number node, value=1610","layer":4},{"info":"compute unary expreesion, input=1610, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3322","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=7131","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=7131, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7134","layer":3},{"info":"compute binary expreesion, left_input=3322, right_input=-7134, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2678, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2891","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=2891, right_input=1524, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14727","layer":3},{"info":"number node, value=3633","layer":4},{"info":"compute unary expreesion, input=3633, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14727, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸7B6≀⫉⫖↰⪸1109)⩍⋽⫝̸(⫖↰⪸857⪣⫩)⨐⩸⫘(⋃⫖↰⪸B22)⨚⇆(⫖↰⪸7A7⨓⫖↰⪸4163)⫚↹⊑(∥⊫(⫖↰⪸180B⨻⩈⩔⫖↰⪸A70)⊬⨰(⫖↰⪸2129↦))=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=(⫖↰⪸7B6≀⫉⫖↰⪸1109)⩍⋽⫝̸(⫖↰⪸857⪣⫩)⨐⩸⫘(⋃⫖↰⪸B22)⨚⇆(⫖↰⪸7A7⨓⫖↰⪸4163)⫚↹⊑(∥⊫(⫖↰⪸180B⨻⩈⩔⫖↰⪸A70)⊬⨰(⫖↰⪸2129↦))","cot":[{"info":"⫖↰⪸7B6≀⫉⫖↰⪸1109=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸857⪣⫩=⫖↰⪸2120","layer":3},{"info":"⫖↰⪸1772⩍⋽⫝̸⫖↰⪸2120=⫖↰⪸1672","layer":2},{"info":"⋃⫖↰⪸B22=⫖↰⪸1B0A","layer":3},{"info":"⫖↰⪸7A7⨓⫖↰⪸4163=⫖↰⪸-4166","layer":3},{"info":"⫖↰⪸1B0A⨚⇆⫖↰⪸-4166=NaN","layer":2},{"info":"⫖↰⪸1672⨐⩸⫘NaN=NaN","layer":1},{"info":"⫖↰⪸180B⨻⩈⩔⫖↰⪸A70=⫖↰⪸8633","layer":3},{"info":"⫖↰⪸2129↦=NaN","layer":3},{"info":"⫖↰⪸8633⊬⨰NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⫚↹⊑NaN=⫖↰⪸-313","layer":0}]}
{"id":907,"expression_no_base_symbol":"((↴⪽⋼$1312$⪔$6431$)∕⩚($4340$⇯⋐)∀⇚≩$2582$⊮⊟↴$3148$)≹⇙⪍(($1002$≝⊿$6861$+⇶⊼($2944$⫔⩽⩺$2697$))⪡$1048$⪛$1292$⇌⫙⪟($3777$⊾⪯⋞$3381$))","expression":"((↴⪽⋼⫖↰⪸914⪔⫖↰⪸387B)∕⩚(⫖↰⪸2618⇯⋐)∀⇚≩⫖↰⪸15B2⊮⊟↴⫖↰⪸19A4)≹⇙⪍((⫖↰⪸6B6≝⊿⫖↰⪸3B79+⇶⊼(⫖↰⪸1854⫔⩽⩺⫖↰⪸1689))⪡⫖↰⪸734⪛⫖↰⪸8B8⇌⫙⪟(⫖↰⪸2229⊾⪯⋞⫖↰⪸1B59))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":104028,"operation_count":14,"complexity_ratio":7430.571428571428,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1312,"base":12},"right_expr":{"type":"numeric_atoms","value":6431,"base":12}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":4340,"base":12}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2582,"base":12},"right_expr":{"type":"numeric_atoms","value":3148,"base":12}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1002,"base":12},"right_expr":{"type":"numeric_atoms","value":6861,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2944,"base":12},"right_expr":{"type":"numeric_atoms","value":2697,"base":12}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1048,"base":12},"right_expr":{"type":"numeric_atoms","value":1292,"base":12}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3777,"base":12},"right_expr":{"type":"numeric_atoms","value":3381,"base":12}}}}},"used_operators":["AHs5Up7iyr","z9ffQ9n5Zr","5TUYCnJO6w","GjBEYRfMaF","LRNGc0VcxI","LkLIoiE525","QDVgd2eftb","oraRL2iQuh","TpPTUOHfaN","OKKcZfAt5B","i9eR4S00cU","AFVx7xoS7T","uFcxV4UQCh","HK0tfVPux8"],"dependent_operators":["dWAJyo7jo9","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","X99M06cbEe","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AHs5Up7iyr","12rbrZMWeM","Tw270M8GLb","fu6greOZ01","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1312","layer":4},{"info":"number node, value=6431","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=6431, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=450","layer":2},{"info":"number node, value=4340","layer":4},{"info":"compute unary expreesion, input=4340, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=13898","layer":3},{"info":"number node, value=2582","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=3148, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=13898, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=6861","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=6861, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15257","layer":3},{"info":"number node, value=2944","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=2697, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15257, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1292, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1048","layer":3},{"info":"number node, value=3777","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=3381, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6336","layer":3},{"info":"compute binary expreesion, left_input=1048, right_input=6336, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-487, 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":12,"result_base":12,"text":"((↴⪽⋼⫖↰⪸914⪔⫖↰⪸387B)∕⩚(⫖↰⪸2618⇯⋐)∀⇚≩⫖↰⪸15B2⊮⊟↴⫖↰⪸19A4)≹⇙⪍((⫖↰⪸6B6≝⊿⫖↰⪸3B79+⇶⊼(⫖↰⪸1854⫔⩽⩺⫖↰⪸1689))⪡⫖↰⪸734⪛⫖↰⪸8B8⇌⫙⪟(⫖↰⪸2229⊾⪯⋞⫖↰⪸1B59))=NaN","reverse_text":"NaN=((↴⪽⋼⫖↰⪸914⪔⫖↰⪸387B)∕⩚(⫖↰⪸2618⇯⋐)∀⇚≩⫖↰⪸15B2⊮⊟↴⫖↰⪸19A4)≹⇙⪍((⫖↰⪸6B6≝⊿⫖↰⪸3B79+⇶⊼(⫖↰⪸1854⫔⩽⩺⫖↰⪸1689))⪡⫖↰⪸734⪛⫖↰⪸8B8⇌⫙⪟(⫖↰⪸2229⊾⪯⋞⫖↰⪸1B59))","cot":[{"info":"⫖↰⪸914⪔⫖↰⪸387B=⫖↰⪸316","layer":3},{"info":"↴⪽⋼⫖↰⪸316=⫖↰⪸316","layer":2},{"info":"⫖↰⪸2618⇯⋐=⫖↰⪸8062","layer":3},{"info":"⫖↰⪸15B2⊮⊟↴⫖↰⪸19A4=⫖↰⪸0","layer":3},{"info":"⫖↰⪸8062∀⇚≩⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸316∕⩚NaN=⫖↰⪸-347","layer":1},{"info":"⫖↰⪸6B6≝⊿⫖↰⪸3B79=⫖↰⪸-89B5","layer":3},{"info":"⫖↰⪸1854⫔⩽⩺⫖↰⪸1689=NaN","layer":3},{"info":"⫖↰⪸-89B5+⇶⊼NaN=NaN","layer":2},{"info":"⫖↰⪸734⪛⫖↰⪸8B8=⫖↰⪸734","layer":3},{"info":"⫖↰⪸2229⊾⪯⋞⫖↰⪸1B59=⫖↰⪸3800","layer":3},{"info":"⫖↰⪸734⇌⫙⪟⫖↰⪸3800=⫖↰⪸95","layer":2},{"info":"NaN⪡⫖↰⪸95=NaN","layer":1},{"info":"⫖↰⪸-347≹⇙⪍NaN=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"($2774$⊔$1607$∙∹∝$7934$⫒⫫$4888$)⫗⊷⫓(⨴⫝$1785$⋹⋡⊁$3940$)⫌⩉⩟($6085$⩁⩘$5150$)↞⋁($2479$⫣⪄⊒$1063$)⨑≵⋬$2108$≨$3264$⪚($8637$≳⇉$1729$)","expression":"(⫖↰⪸1732⊔⫖↰⪸B1B∙∹∝⫖↰⪸4712⫒⫫⫖↰⪸29B4)⫗⊷⫓(⨴⫝⫖↰⪸1049⋹⋡⊁⫖↰⪸2344)⫌⩉⩟(⫖↰⪸3631⩁⩘⫖↰⪸2B92)↞⋁(⫖↰⪸1527⫣⪄⊒⫖↰⪸747)⨑≵⋬⫖↰⪸1278≨⫖↰⪸1A80⪚(⫖↰⪸4BB9≳⇉⫖↰⪸1001)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":43502355,"operation_count":14,"complexity_ratio":3107311.0714285714,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2774,"base":12},"right_expr":{"type":"numeric_atoms","value":1607,"base":12}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":7934,"base":12},"right_expr":{"type":"numeric_atoms","value":4888,"base":12}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1785,"base":12},"right_expr":{"type":"numeric_atoms","value":3940,"base":12}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6085,"base":12},"right_expr":{"type":"numeric_atoms","value":5150,"base":12}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2479,"base":12},"right_expr":{"type":"numeric_atoms","value":1063,"base":12}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2108,"base":12},"right_expr":{"type":"numeric_atoms","value":3264,"base":12}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":8637,"base":12},"right_expr":{"type":"numeric_atoms","value":1729,"base":12}}}}},"used_operators":["XIIwhv8d0m","zashukvMKz","HmxsFra2vL","E4l6HwMY31","6Ko8hGgeMq","SVb2v531z1","As8RqfVLgs","XnXgA4xnOs","RqrPlJkxDo","gub5Cegaqo","RabNbG55vr","HrjLwUk87U","0KMCeP1Jsh","V0kx6qeWkN"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⫖↰⪸-42","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2774","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=2774, right_input=1607, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11183","layer":3},{"info":"number node, value=7934","layer":4},{"info":"number node, value=4888","layer":4},{"info":"compute binary expreesion, left_input=7934, right_input=4888, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11183, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1785","layer":4},{"info":"number node, value=3940","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=3940, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4690","layer":3},{"info":"compute unary expreesion, input=4690, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2828198, 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=6085","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=6085, right_input=5150, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=21548","layer":3},{"info":"number node, value=2479","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=1063, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1932","layer":3},{"info":"compute binary expreesion, left_input=21548, right_input=-1932, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=21548","layer":2},{"info":"number node, value=2108","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=2108, right_input=3264, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-18604","layer":3},{"info":"number node, value=8637","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=8637, right_input=1729, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-18604, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=36332","layer":2},{"info":"compute binary expreesion, left_input=21548, right_input=36332, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-145205","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-145205, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1732⊔⫖↰⪸B1B∙∹∝⫖↰⪸4712⫒⫫⫖↰⪸29B4)⫗⊷⫓(⨴⫝⫖↰⪸1049⋹⋡⊁⫖↰⪸2344)⫌⩉⩟(⫖↰⪸3631⩁⩘⫖↰⪸2B92)↞⋁(⫖↰⪸1527⫣⪄⊒⫖↰⪸747)⨑≵⋬⫖↰⪸1278≨⫖↰⪸1A80⪚(⫖↰⪸4BB9≳⇉⫖↰⪸1001)=⫖↰⪸-42","reverse_text":"⫖↰⪸-42=(⫖↰⪸1732⊔⫖↰⪸B1B∙∹∝⫖↰⪸4712⫒⫫⫖↰⪸29B4)⫗⊷⫓(⨴⫝⫖↰⪸1049⋹⋡⊁⫖↰⪸2344)⫌⩉⩟(⫖↰⪸3631⩁⩘⫖↰⪸2B92)↞⋁(⫖↰⪸1527⫣⪄⊒⫖↰⪸747)⨑≵⋬⫖↰⪸1278≨⫖↰⪸1A80⪚(⫖↰⪸4BB9≳⇉⫖↰⪸1001)","cot":[{"info":"⫖↰⪸1732⊔⫖↰⪸B1B=⫖↰⪸657B","layer":3},{"info":"⫖↰⪸4712⫒⫫⫖↰⪸29B4=NaN","layer":3},{"info":"⫖↰⪸657B∙∹∝NaN=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1049⋹⋡⊁⫖↰⪸2344=⫖↰⪸286A","layer":3},{"info":"⨴⫝⫖↰⪸286A=⫖↰⪸B44832","layer":2},{"info":"⫖↰⪸0⫗⊷⫓⫖↰⪸B44832=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸3631⩁⩘⫖↰⪸2B92=⫖↰⪸10578","layer":3},{"info":"⫖↰⪸1527⫣⪄⊒⫖↰⪸747=⫖↰⪸-1150","layer":3},{"info":"⫖↰⪸10578↞⋁⫖↰⪸-1150=⫖↰⪸10578","layer":2},{"info":"⫖↰⪸1278≨⫖↰⪸1A80=⫖↰⪸-A924","layer":3},{"info":"⫖↰⪸4BB9≳⇉⫖↰⪸1001=NaN","layer":3},{"info":"⫖↰⪸-A924⪚NaN=⫖↰⪸19038","layer":2},{"info":"⫖↰⪸10578⨑≵⋬⫖↰⪸19038=⫖↰⪸-70045","layer":1},{"info":"⫖↰⪸-B2⫌⩉⩟⫖↰⪸-70045=⫖↰⪸-42","layer":0}]}
{"id":909,"expression_no_base_symbol":"((∡($1290$∐⫣))∈)⋛(($2233$∲⫓$2468$⫡⨏$1004$⨒$2275$)⨸⪁(⨆≐≲$2087$)⇡⇂($2553$⋛$1694$))","expression":"((∡(⫖↰⪸8B6∐⫣))∈)⋛((⫖↰⪸1361∲⫓⫖↰⪸1518⫡⨏⫖↰⪸6B8⨒⫖↰⪸1397)⨸⪁(⨆≐≲⫖↰⪸125B)⇡⇂(⫖↰⪸1589⋛⫖↰⪸B92))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":833994,"operation_count":11,"complexity_ratio":75817.63636363637,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1290,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2233,"base":12},"right_expr":{"type":"numeric_atoms","value":2468,"base":12}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1004,"base":12},"right_expr":{"type":"numeric_atoms","value":2275,"base":12}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2087,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2553,"base":12},"right_expr":{"type":"numeric_atoms","value":1694,"base":12}}}}},"used_operators":["YbUVn0Rbpy","ztP7wcbY7m","pRsWfj4Fpp","4CyGpkTkEk","g55IO6H4Gj","QMFrweE19q","i8ToyICDmI","y75s1iXyHd","UMwdvZNt44","Bi9z9uYZqW"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute unary expreesion, input=551, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-551","layer":2},{"info":"compute unary expreesion, input=-551, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-2324","layer":1},{"info":"number node, value=2233","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=2468, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2275, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-5652","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5652, 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=-10521","layer":2},{"info":"number node, value=2087","layer":4},{"info":"compute unary expreesion, input=2087, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=22506648","layer":3},{"info":"number node, value=2553","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=1694, 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=-109215","layer":3},{"info":"compute binary expreesion, left_input=22506648, right_input=-109215, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10521, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2324, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∡(⫖↰⪸8B6∐⫣))∈)⋛((⫖↰⪸1361∲⫓⫖↰⪸1518⫡⨏⫖↰⪸6B8⨒⫖↰⪸1397)⨸⪁(⨆≐≲⫖↰⪸125B)⇡⇂(⫖↰⪸1589⋛⫖↰⪸B92))=NaN","reverse_text":"NaN=((∡(⫖↰⪸8B6∐⫣))∈)⋛((⫖↰⪸1361∲⫓⫖↰⪸1518⫡⨏⫖↰⪸6B8⨒⫖↰⪸1397)⨸⪁(⨆≐≲⫖↰⪸125B)⇡⇂(⫖↰⪸1589⋛⫖↰⪸B92))","cot":[{"info":"⫖↰⪸8B6∐⫣=⫖↰⪸39B","layer":3},{"info":"∡⫖↰⪸39B=⫖↰⪸-39B","layer":2},{"info":"⫖↰⪸-39B∈=⫖↰⪸-1418","layer":1},{"info":"⫖↰⪸1361∲⫓⫖↰⪸1518=⫖↰⪸0","layer":3},{"info":"⫖↰⪸6B8⨒⫖↰⪸1397=⫖↰⪸-3330","layer":3},{"info":"⫖↰⪸0⫡⨏⫖↰⪸-3330=⫖↰⪸-6109","layer":2},{"info":"⨆≐≲⫖↰⪸125B=⫖↰⪸7654820","layer":3},{"info":"⫖↰⪸1589⋛⫖↰⪸B92=⫖↰⪸-53253","layer":3},{"info":"⫖↰⪸7654820⇡⇂⫖↰⪸-53253=NaN","layer":2},{"info":"⫖↰⪸-6109⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸-1418⋛NaN=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"⪭⩑⪱(($2012$≎⪠$2346$⪐)⊠≄⫣)","expression":"⪭⩑⪱((⫖↰⪸11B8≎⪠⫖↰⪸1436⪐)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19931,"operation_count":4,"complexity_ratio":4982.75,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2012,"base":12},"right_expr":{"type":"numeric_atoms","value":2346,"base":12}}}}},"used_operators":["SIgE0bArFf","DIvbN7qnHd","eH2TOUuTDT","aNhz54LH3e"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⫖↰⪸2953300","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2012","layer":4},{"info":"number node, value=2346","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=2346, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=39116","layer":2},{"info":"compute unary expreesion, input=39116, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":12,"result_base":12,"text":"⪭⩑⪱((⫖↰⪸11B8≎⪠⫖↰⪸1436⪐)⊠≄⫣)=⫖↰⪸2953300","reverse_text":"⫖↰⪸2953300=⪭⩑⪱((⫖↰⪸11B8≎⪠⫖↰⪸1436⪐)⊠≄⫣)","cot":[{"info":"⫖↰⪸11B8≎⪠⫖↰⪸1436=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸B39A⪐=⫖↰⪸1A778","layer":2},{"info":"⫖↰⪸1A778⊠≄⫣=⫖↰⪸0","layer":1},{"info":"⪭⩑⪱⫖↰⪸0=⫖↰⪸2953300","layer":0}]}
{"id":911,"expression_no_base_symbol":"((↥≼⋛$2499$)⪛$2948$⊱⇼⊻$4096$)↤⩊($4167$⪎⩰)⇻⋧≁($1459$⩖⊿$3194$)⪛⫼(($1290$⨵⪆$3294$)⫰⋱($8853$↡⊰⫅$2002$)⫌⩉⩟$2435$⨽∌$1214$⫯⪬∳(⨑⩽⪐$1983$))","expression":"((↥≼⋛⫖↰⪸1543)⪛⫖↰⪸1858⊱⇼⊻⫖↰⪸2454)↤⩊(⫖↰⪸24B3⪎⩰)⇻⋧≁(⫖↰⪸A17⩖⊿⫖↰⪸1A22)⪛⫼((⫖↰⪸8B6⨵⪆⫖↰⪸1AA6)⫰⋱(⫖↰⪸5159↡⊰⫅⫖↰⪸11AA)⫌⩉⩟⫖↰⪸14AB⨽∌⫖↰⪸852⫯⪬∳(⨑⩽⪐⫖↰⪸1193))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":258796,"operation_count":15,"complexity_ratio":17253.066666666666,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2499,"base":12}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2948,"base":12},"right_expr":{"type":"numeric_atoms","value":4096,"base":12}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":4167,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1459,"base":12},"right_expr":{"type":"numeric_atoms","value":3194,"base":12}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1290,"base":12},"right_expr":{"type":"numeric_atoms","value":3294,"base":12}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":8853,"base":12},"right_expr":{"type":"numeric_atoms","value":2002,"base":12}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2435,"base":12},"right_expr":{"type":"numeric_atoms","value":1214,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1983,"base":12}}}}},"used_operators":["hyuBjUqXlG","13rbtpv6ld","uFcxV4UQCh","x5lMkHmzsq","FyVja0WsTP","jCPkEVoL5K","2ufhKmSs5H","RZ5CV9rWsJ","XIIwhv8d0m","6o9Blt3TJ6","2DQ55sFlQl","VCtxkLNOzz","d7ASUq0ydm","9samAPKr6k","AF7qkfDlqP"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫖↰⪸B5","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=2948","layer":4},{"info":"number node, value=4096","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=4096, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=434, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=321","layer":2},{"info":"number node, value=4167","layer":4},{"info":"compute unary expreesion, input=4167, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=1459","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=3194, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=19634","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=19634, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=321, right_input=-447, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=1290","layer":4},{"info":"number node, value=3294","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=3294, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=8853","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=8853, right_input=2002, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4004","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4004, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-127","layer":2},{"info":"number node, value=2435","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=1214, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1983","layer":4},{"info":"compute unary expreesion, input=1983, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1710","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1710, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-127, right_input=-473, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=137","layer":0}],"base":12,"result_base":12,"text":"((↥≼⋛⫖↰⪸1543)⪛⫖↰⪸1858⊱⇼⊻⫖↰⪸2454)↤⩊(⫖↰⪸24B3⪎⩰)⇻⋧≁(⫖↰⪸A17⩖⊿⫖↰⪸1A22)⪛⫼((⫖↰⪸8B6⨵⪆⫖↰⪸1AA6)⫰⋱(⫖↰⪸5159↡⊰⫅⫖↰⪸11AA)⫌⩉⩟⫖↰⪸14AB⨽∌⫖↰⪸852⫯⪬∳(⨑⩽⪐⫖↰⪸1193))=⫖↰⪸B5","reverse_text":"⫖↰⪸B5=((↥≼⋛⫖↰⪸1543)⪛⫖↰⪸1858⊱⇼⊻⫖↰⪸2454)↤⩊(⫖↰⪸24B3⪎⩰)⇻⋧≁(⫖↰⪸A17⩖⊿⫖↰⪸1A22)⪛⫼((⫖↰⪸8B6⨵⪆⫖↰⪸1AA6)⫰⋱(⫖↰⪸5159↡⊰⫅⫖↰⪸11AA)⫌⩉⩟⫖↰⪸14AB⨽∌⫖↰⪸852⫯⪬∳(⨑⩽⪐⫖↰⪸1193))","cot":[{"info":"↥≼⋛⫖↰⪸1543=⫖↰⪸-95","layer":3},{"info":"⫖↰⪸1858⊱⇼⊻⫖↰⪸2454=⫖↰⪸302","layer":3},{"info":"⫖↰⪸-95⪛⫖↰⪸302=⫖↰⪸229","layer":2},{"info":"⫖↰⪸24B3⪎⩰=⫖↰⪸-2A","layer":3},{"info":"⫖↰⪸A17⩖⊿⫖↰⪸1A22=⫖↰⪸B442","layer":3},{"info":"⫖↰⪸-2A⇻⋧≁⫖↰⪸B442=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸229↤⩊⫖↰⪸-313=NaN","layer":1},{"info":"⫖↰⪸8B6⨵⪆⫖↰⪸1AA6=⫖↰⪸114","layer":3},{"info":"⫖↰⪸5159↡⊰⫅⫖↰⪸11AA=⫖↰⪸2398","layer":3},{"info":"⫖↰⪸114⫰⋱⫖↰⪸2398=⫖↰⪸-A7","layer":2},{"info":"⫖↰⪸14AB⨽∌⫖↰⪸852=⫖↰⪸0","layer":3},{"info":"⨑⩽⪐⫖↰⪸1193=⫖↰⪸-BA6","layer":3},{"info":"⫖↰⪸0⫯⪬∳⫖↰⪸-BA6=⫖↰⪸-335","layer":2},{"info":"⫖↰⪸-A7⫌⩉⩟⫖↰⪸-335=⫖↰⪸-42","layer":1},{"info":"NaN⪛⫼⫖↰⪸-42=⫖↰⪸B5","layer":0}]}
{"id":912,"expression_no_base_symbol":"(⩏⊷≩($5539$⇼⇔∾$1101$+$3710$⋣⋖$7127$))∠↢(⋣($5474$≃$1806$))⩺⪪($1609$≬⇓$1646$⊾⪯⋞($2481$∸))","expression":"(⩏⊷≩(⫖↰⪸3257⇼⇔∾⫖↰⪸779+⫖↰⪸2192⋣⋖⫖↰⪸415B))∠↢(⋣(⫖↰⪸3202≃⫖↰⪸1066))⩺⪪(⫖↰⪸B21≬⇓⫖↰⪸B52⊾⪯⋞(⫖↰⪸1529∸))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":573,"operation_count":11,"complexity_ratio":52.09090909090909,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5539,"base":12},"right_expr":{"type":"numeric_atoms","value":1101,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3710,"base":12},"right_expr":{"type":"numeric_atoms","value":7127,"base":12}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5474,"base":12},"right_expr":{"type":"numeric_atoms","value":1806,"base":12}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1609,"base":12},"right_expr":{"type":"numeric_atoms","value":1646,"base":12}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2481,"base":12}}}}},"used_operators":["KbjG8mgYpV","uOZ1tnYMDE","W4YGzv6Whe","tifHPKVTfV","J0M6qkBnIM","uvdQJvN4PV","zQWRhDnn8F","YbVcJGFEVW","HK0tfVPux8","jWTQ2TZYIH","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","23Mk6UjR3U","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","tmPS8pqC7x"],"result":"⫖↰⪸-1B062","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5539","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=5539, right_input=1101, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4438","layer":3},{"info":"number node, value=3710","layer":4},{"info":"number node, value=7127","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=7127, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3710","layer":3},{"info":"compute binary expreesion, left_input=-4438, right_input=3710, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-728","layer":2},{"info":"compute unary expreesion, input=-728, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=3526","layer":1},{"info":"number node, value=5474","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=5474, right_input=1806, 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=-21936","layer":3},{"info":"compute unary expreesion, input=-21936, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"number node, value=1609","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1646, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=2481","layer":4},{"info":"compute unary expreesion, input=2481, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=177, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-818, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":1},{"info":"compute binary expreesion, left_input=3526, right_input=1914, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-39818","layer":0}],"base":12,"result_base":12,"text":"(⩏⊷≩(⫖↰⪸3257⇼⇔∾⫖↰⪸779+⫖↰⪸2192⋣⋖⫖↰⪸415B))∠↢(⋣(⫖↰⪸3202≃⫖↰⪸1066))⩺⪪(⫖↰⪸B21≬⇓⫖↰⪸B52⊾⪯⋞(⫖↰⪸1529∸))=⫖↰⪸-1B062","reverse_text":"⫖↰⪸-1B062=(⩏⊷≩(⫖↰⪸3257⇼⇔∾⫖↰⪸779+⫖↰⪸2192⋣⋖⫖↰⪸415B))∠↢(⋣(⫖↰⪸3202≃⫖↰⪸1066))⩺⪪(⫖↰⪸B21≬⇓⫖↰⪸B52⊾⪯⋞(⫖↰⪸1529∸))","cot":[{"info":"⫖↰⪸3257⇼⇔∾⫖↰⪸779=⫖↰⪸-269A","layer":3},{"info":"⫖↰⪸2192⋣⋖⫖↰⪸415B=⫖↰⪸2192","layer":3},{"info":"⫖↰⪸-269A+⫖↰⪸2192=⫖↰⪸-508","layer":2},{"info":"⩏⊷≩⫖↰⪸-508=⫖↰⪸205A","layer":1},{"info":"⫖↰⪸3202≃⫖↰⪸1066=⫖↰⪸-10840","layer":3},{"info":"⋣⫖↰⪸-10840=⫖↰⪸-95","layer":2},{"info":"⫖↰⪸B21≬⇓⫖↰⪸B52=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸1529∸=⫖↰⪸129","layer":3},{"info":"⫖↰⪸-1A⊾⪯⋞⫖↰⪸129=⫖↰⪸-582","layer":2},{"info":"⫖↰⪸-95⩺⪪⫖↰⪸-582=⫖↰⪸1136","layer":1},{"info":"⫖↰⪸205A∠↢⫖↰⪸1136=⫖↰⪸-1B062","layer":0}]}
{"id":913,"expression_no_base_symbol":"((($1000$⇀∌)⊭↱(↣≠⋷$3658$))∝(⊗$1169$)∇⊂⋱(⨩∲⋌$4346$))⋅⇍(($4777$⫒⫫$1164$⫸⊐$2744$⊲⩕⊾$1656$)⇀∌)","expression":"(((⫖↰⪸6B4⇀∌)⊭↱(↣≠⋷⫖↰⪸214A))∝(⊗⫖↰⪸815)∇⊂⋱(⨩∲⋌⫖↰⪸2622))⋅⇍((⫖↰⪸2921⫒⫫⫖↰⪸810⫸⊐⫖↰⪸1708⊲⩕⊾⫖↰⪸B60)⇀∌)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1006197,"operation_count":12,"complexity_ratio":83849.75,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":1000,"base":12}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3658,"base":12}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1169,"base":12}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4346,"base":12}}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4777,"base":12},"right_expr":{"type":"numeric_atoms","value":1164,"base":12}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2744,"base":12},"right_expr":{"type":"numeric_atoms","value":1656,"base":12}}}}},"used_operators":["AdZkA7nFnk","cTDWOvIxvz","COABgblf1C","2k53nXOpI5","Asc51vEJeQ","nhYeJWJD5X","RhiyfpczSx","aSik1wnThz","mqXw5SEYmG","6Ko8hGgeMq","DmTXOeWf9t"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","XhwjNDsVaA","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=8166","layer":3},{"info":"number node, value=3658","layer":4},{"info":"compute unary expreesion, input=3658, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8166, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2338","layer":3},{"info":"number node, value=4346","layer":4},{"info":"compute unary expreesion, input=4346, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4869","layer":3},{"info":"compute binary expreesion, left_input=-2338, right_input=-4869, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9738","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9738, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=4777","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=4777, right_input=1164, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=1656, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-57094","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-57094, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸6B4⇀∌)⊭↱(↣≠⋷⫖↰⪸214A))∝(⊗⫖↰⪸815)∇⊂⋱(⨩∲⋌⫖↰⪸2622))⋅⇍((⫖↰⪸2921⫒⫫⫖↰⪸810⫸⊐⫖↰⪸1708⊲⩕⊾⫖↰⪸B60)⇀∌)=NaN","reverse_text":"NaN=(((⫖↰⪸6B4⇀∌)⊭↱(↣≠⋷⫖↰⪸214A))∝(⊗⫖↰⪸815)∇⊂⋱(⨩∲⋌⫖↰⪸2622))⋅⇍((⫖↰⪸2921⫒⫫⫖↰⪸810⫸⊐⫖↰⪸1708⊲⩕⊾⫖↰⪸B60)⇀∌)","cot":[{"info":"⫖↰⪸6B4⇀∌=⫖↰⪸4886","layer":3},{"info":"↣≠⋷⫖↰⪸214A=NaN","layer":3},{"info":"⫖↰⪸4886⊭↱NaN=NaN","layer":2},{"info":"⊗⫖↰⪸815=⫖↰⪸-142A","layer":3},{"info":"⨩∲⋌⫖↰⪸2622=⫖↰⪸-2999","layer":3},{"info":"⫖↰⪸-142A∇⊂⋱⫖↰⪸-2999=⫖↰⪸5776","layer":2},{"info":"NaN∝⫖↰⪸5776=NaN","layer":1},{"info":"⫖↰⪸2921⫒⫫⫖↰⪸810=NaN","layer":3},{"info":"⫖↰⪸1708⊲⩕⊾⫖↰⪸B60=⫖↰⪸-2905A","layer":3},{"info":"NaN⫸⊐⫖↰⪸-2905A=NaN","layer":2},{"info":"NaN⇀∌=NaN","layer":1},{"info":"NaN⋅⇍NaN=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"(($1294$⋾⨃∁$2422$)⨂≜($4026$⫲≸⪮$2373$)⪄(⨙⪌$2762$)+⪬∐($1217$⫉⨲⊜$2846$))⨥⫆(⇾⩊⇾(⨭⩧⫛$2977$))≦↸(∤↝($3036$≬⇓$2281$))","expression":"((⫖↰⪸8BA⋾⨃∁⫖↰⪸149A)⨂≜(⫖↰⪸23B6⫲≸⪮⫖↰⪸1459)⪄(⨙⪌⫖↰⪸1722)+⪬∐(⫖↰⪸855⫉⨲⊜⫖↰⪸1792))⨥⫆(⇾⩊⇾(⨭⩧⫛⫖↰⪸1881))≦↸(∤↝(⫖↰⪸1910≬⇓⫖↰⪸13A1))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":58639269,"operation_count":13,"complexity_ratio":4510713.0,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1294,"base":12},"right_expr":{"type":"numeric_atoms","value":2422,"base":12}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4026,"base":12},"right_expr":{"type":"numeric_atoms","value":2373,"base":12}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2762,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1217,"base":12},"right_expr":{"type":"numeric_atoms","value":2846,"base":12}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2977,"base":12}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3036,"base":12},"right_expr":{"type":"numeric_atoms","value":2281,"base":12}}}}},"used_operators":["yXekIHxTD4","SUmda5xLS4","k1SHOSEABc","212REbPD9h","P3lXMJvFrc","2GS7woTJqF","vEGLkm4Z2k","WhqkvtTD3t","RygbFNSyEJ","bx9Z9DAK5y","g21JL6JxX7","3UMq87Qwqg","jWTQ2TZYIH"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1294","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=2422, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=58631682","layer":3},{"info":"number node, value=4026","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=4026, right_input=2373, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4026","layer":3},{"info":"compute binary expreesion, left_input=58631682, right_input=4026, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2762","layer":4},{"info":"compute unary expreesion, input=2762, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=2846, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-2604","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2604, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=2977","layer":4},{"info":"compute unary expreesion, input=2977, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"number node, value=3036","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=2281, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸8BA⋾⨃∁⫖↰⪸149A)⨂≜(⫖↰⪸23B6⫲≸⪮⫖↰⪸1459)⪄(⨙⪌⫖↰⪸1722)+⪬∐(⫖↰⪸855⫉⨲⊜⫖↰⪸1792))⨥⫆(⇾⩊⇾(⨭⩧⫛⫖↰⪸1881))≦↸(∤↝(⫖↰⪸1910≬⇓⫖↰⪸13A1))=NaN","reverse_text":"NaN=((⫖↰⪸8BA⋾⨃∁⫖↰⪸149A)⨂≜(⫖↰⪸23B6⫲≸⪮⫖↰⪸1459)⪄(⨙⪌⫖↰⪸1722)+⪬∐(⫖↰⪸855⫉⨲⊜⫖↰⪸1792))⨥⫆(⇾⩊⇾(⨭⩧⫛⫖↰⪸1881))≦↸(∤↝(⫖↰⪸1910≬⇓⫖↰⪸13A1))","cot":[{"info":"⫖↰⪸8BA⋾⨃∁⫖↰⪸149A=⫖↰⪸17776456","layer":3},{"info":"⫖↰⪸23B6⫲≸⪮⫖↰⪸1459=⫖↰⪸23B6","layer":3},{"info":"⫖↰⪸17776456⨂≜⫖↰⪸23B6=NaN","layer":2},{"info":"⨙⪌⫖↰⪸1722=⫖↰⪸604","layer":3},{"info":"⫖↰⪸855⫉⨲⊜⫖↰⪸1792=⫖↰⪸0","layer":3},{"info":"⫖↰⪸604+⪬∐⫖↰⪸0=⫖↰⪸-1610","layer":2},{"info":"NaN⪄⫖↰⪸-1610=⫖↰⪸2377","layer":1},{"info":"⨭⩧⫛⫖↰⪸1881=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"⫖↰⪸1910≬⇓⫖↰⪸13A1=⫖↰⪸-1A","layer":3},{"info":"∤↝⫖↰⪸-1A=⫖↰⪸-1A","layer":2},{"info":"NaN≦↸⫖↰⪸-1A=NaN","layer":1},{"info":"⫖↰⪸2377⨥⫆NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"(($2704$↓$2088$)⋕⪉⪜($1320$⨜⨶$3778$)∕⩚$3035$∥⊢⊲$1235$∛($2951$⇼⇔∾$3088$))⨐⩸⫘($7488$⇴∐$6614$)⪝($1299$⩹$2614$)⨪↰⇹(⊤⊝$1568$⇴$8475$)","expression":"((⫖↰⪸1694↓⫖↰⪸1260)⋕⪉⪜(⫖↰⪸920⨜⨶⫖↰⪸222A)∕⩚⫖↰⪸190B∥⊢⊲⫖↰⪸86B∛(⫖↰⪸185B⇼⇔∾⫖↰⪸1954))⨐⩸⫘(⫖↰⪸4400⇴∐⫖↰⪸39B2)⪝(⫖↰⪸903⩹⫖↰⪸161A)⨪↰⇹(⊤⊝⫖↰⪸AA8⇴⫖↰⪸4AA3)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":30132,"operation_count":14,"complexity_ratio":2152.285714285714,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2704,"base":12},"right_expr":{"type":"numeric_atoms","value":2088,"base":12}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1320,"base":12},"right_expr":{"type":"numeric_atoms","value":3778,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3035,"base":12},"right_expr":{"type":"numeric_atoms","value":1235,"base":12}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2951,"base":12},"right_expr":{"type":"numeric_atoms","value":3088,"base":12}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":7488,"base":12},"right_expr":{"type":"numeric_atoms","value":6614,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1299,"base":12},"right_expr":{"type":"numeric_atoms","value":2614,"base":12}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1568,"base":12},"right_expr":{"type":"numeric_atoms","value":8475,"base":12}}}}},"used_operators":["fu6greOZ01","z9ffQ9n5Zr","z6LnFrNh4i","Af076pWI7l","HiPekx5b7W","w2537kitQq","v1UQAVDJRr","tifHPKVTfV","tmPS8pqC7x","wicAB68Tmb","HnzytWxmAO","2Wsdkap16l","rXAclfmB4M","4JB6nKBMSY"],"dependent_operators":["3ViojmjbAp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","sdazOOVcIp","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2704","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=2088, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1320","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=3778, 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=-7300","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-7300, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=3035","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=3035, right_input=1235, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2951","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=3088, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=137","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=67, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=7488","layer":4},{"info":"number node, value=6614","layer":4},{"info":"compute binary expreesion, left_input=7488, right_input=6614, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=2614, 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=2612","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2612, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=1568","layer":4},{"info":"number node, value=8475","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=8475, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=25972","layer":3},{"info":"compute unary expreesion, input=25972, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=50646","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=50646, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1694↓⫖↰⪸1260)⋕⪉⪜(⫖↰⪸920⨜⨶⫖↰⪸222A)∕⩚⫖↰⪸190B∥⊢⊲⫖↰⪸86B∛(⫖↰⪸185B⇼⇔∾⫖↰⪸1954))⨐⩸⫘(⫖↰⪸4400⇴∐⫖↰⪸39B2)⪝(⫖↰⪸903⩹⫖↰⪸161A)⨪↰⇹(⊤⊝⫖↰⪸AA8⇴⫖↰⪸4AA3)=NaN","reverse_text":"NaN=((⫖↰⪸1694↓⫖↰⪸1260)⋕⪉⪜(⫖↰⪸920⨜⨶⫖↰⪸222A)∕⩚⫖↰⪸190B∥⊢⊲⫖↰⪸86B∛(⫖↰⪸185B⇼⇔∾⫖↰⪸1954))⨐⩸⫘(⫖↰⪸4400⇴∐⫖↰⪸39B2)⪝(⫖↰⪸903⩹⫖↰⪸161A)⨪↰⇹(⊤⊝⫖↰⪸AA8⇴⫖↰⪸4AA3)","cot":[{"info":"⫖↰⪸1694↓⫖↰⪸1260=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸920⨜⨶⫖↰⪸222A=⫖↰⪸-4284","layer":3},{"info":"⫖↰⪸-B2⋕⪉⪜⫖↰⪸-4284=⫖↰⪸1756","layer":2},{"info":"⫖↰⪸190B∥⊢⊲⫖↰⪸86B=NaN","layer":3},{"info":"⫖↰⪸185B⇼⇔∾⫖↰⪸1954=⫖↰⪸B5","layer":3},{"info":"NaN∛⫖↰⪸B5=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1756∕⩚⫖↰⪸57=⫖↰⪸-347","layer":1},{"info":"⫖↰⪸4400⇴∐⫖↰⪸39B2=NaN","layer":3},{"info":"⫖↰⪸903⩹⫖↰⪸161A=⫖↰⪸1618","layer":3},{"info":"NaN⪝⫖↰⪸1618=NaN","layer":2},{"info":"⫖↰⪸AA8⇴⫖↰⪸4AA3=⫖↰⪸13044","layer":3},{"info":"⊤⊝⫖↰⪸13044=⫖↰⪸25386","layer":2},{"info":"NaN⨪↰⇹⫖↰⪸25386=NaN","layer":1},{"info":"⫖↰⪸-347⨐⩸⫘NaN=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"((⩩($3437$⨵⪆$1036$))↰)≦≮≮","expression":"((⩩(⫖↰⪸1BA5⨵⪆⫖↰⪸724))↰)≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26703,"operation_count":4,"complexity_ratio":6675.75,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3437,"base":12},"right_expr":{"type":"numeric_atoms","value":1036,"base":12}}}}},"used_operators":["D4vGDi5EA2","bl5wxAcryP","kMhfGuqI2H","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","Z2TMIBDE3Q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=3437","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=3437, right_input=1036, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⩩(⫖↰⪸1BA5⨵⪆⫖↰⪸724))↰)≦≮≮=NaN","reverse_text":"NaN=((⩩(⫖↰⪸1BA5⨵⪆⫖↰⪸724))↰)≦≮≮","cot":[{"info":"⫖↰⪸1BA5⨵⪆⫖↰⪸724=⫖↰⪸114","layer":3},{"info":"⩩⫖↰⪸114=NaN","layer":2},{"info":"NaN↰=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"(⋣(≸$2970$⪬$1102$))⊹∫⫚(≸($1611$⫡⨏$1375$))⩁⩘($1093$⫁$2411$⫢⨠(⇤←$1715$))","expression":"(⋣(≸⫖↰⪸1876⪬⫖↰⪸77A))⊹∫⫚(≸(⫖↰⪸B23⫡⨏⫖↰⪸967))⩁⩘(⫖↰⪸771⫁⫖↰⪸148B⫢⨠(⇤←⫖↰⪸BAB))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3244,"operation_count":10,"complexity_ratio":324.4,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2970,"base":12},"right_expr":{"type":"numeric_atoms","value":1102,"base":12}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1611,"base":12},"right_expr":{"type":"numeric_atoms","value":1375,"base":12}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1093,"base":12},"right_expr":{"type":"numeric_atoms","value":2411,"base":12}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1715,"base":12}}}}},"used_operators":["uWAJUKEvyW","zQWRhDnn8F","eOf03JbCpp","Ez1Nq5fNfI","gub5Cegaqo","QMFrweE19q","xlXykHWxX1","0ajvFaJAv0","jfAgQ2OQeM"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"⫖↰⪸-90","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2970","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=1102, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute unary expreesion, input=58, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-16957","layer":1},{"info":"number node, value=1611","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=1375, 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=11588","layer":3},{"info":"compute unary expreesion, input=11588, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"number node, value=1093","layer":4},{"info":"number node, value=2411","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=2411, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1715","layer":4},{"info":"compute unary expreesion, input=1715, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-7209","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-7209, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=55122","layer":2},{"info":"compute binary expreesion, left_input=58, right_input=55122, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=221436","layer":1},{"info":"compute binary expreesion, left_input=-16957, right_input=221436, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-108","layer":0}],"base":12,"result_base":12,"text":"(⋣(≸⫖↰⪸1876⪬⫖↰⪸77A))⊹∫⫚(≸(⫖↰⪸B23⫡⨏⫖↰⪸967))⩁⩘(⫖↰⪸771⫁⫖↰⪸148B⫢⨠(⇤←⫖↰⪸BAB))=⫖↰⪸-90","reverse_text":"⫖↰⪸-90=(⋣(≸⫖↰⪸1876⪬⫖↰⪸77A))⊹∫⫚(≸(⫖↰⪸B23⫡⨏⫖↰⪸967))⩁⩘(⫖↰⪸771⫁⫖↰⪸148B⫢⨠(⇤←⫖↰⪸BAB))","cot":[{"info":"⫖↰⪸1876⪬⫖↰⪸77A=⫖↰⪸86A","layer":3},{"info":"≸⫖↰⪸86A=⫖↰⪸4A","layer":2},{"info":"⋣⫖↰⪸4A=⫖↰⪸-9991","layer":1},{"info":"⫖↰⪸B23⫡⨏⫖↰⪸967=⫖↰⪸6858","layer":3},{"info":"≸⫖↰⪸6858=⫖↰⪸4A","layer":2},{"info":"⫖↰⪸771⫁⫖↰⪸148B=⫖↰⪸114","layer":3},{"info":"⇤←⫖↰⪸BAB=⫖↰⪸-4209","layer":3},{"info":"⫖↰⪸114⫢⨠⫖↰⪸-4209=⫖↰⪸27A96","layer":2},{"info":"⫖↰⪸4A⩁⩘⫖↰⪸27A96=⫖↰⪸A8190","layer":1},{"info":"⫖↰⪸-9991⊹∫⫚⫖↰⪸A8190=⫖↰⪸-90","layer":0}]}
{"id":918,"expression_no_base_symbol":"(∤↝(→⩰($1276$⨸⪁$1164$)))⪘⨀","expression":"(∤↝(→⩰(⫖↰⪸8A4⨸⪁⫖↰⪸810)))⪘⨀","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5354,"operation_count":4,"complexity_ratio":1338.5,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1276,"base":12},"right_expr":{"type":"numeric_atoms","value":1164,"base":12}}}}},"used_operators":["aA7tF3KVD3","3UMq87Qwqg","o8Pngz0Tml","g55IO6H4Gj"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1276","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=1164, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4880","layer":3},{"info":"compute unary expreesion, input=4880, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(∤↝(→⩰(⫖↰⪸8A4⨸⪁⫖↰⪸810)))⪘⨀=NaN","reverse_text":"NaN=(∤↝(→⩰(⫖↰⪸8A4⨸⪁⫖↰⪸810)))⪘⨀","cot":[{"info":"⫖↰⪸8A4⨸⪁⫖↰⪸810=⫖↰⪸29A8","layer":3},{"info":"→⩰⫖↰⪸29A8=NaN","layer":2},{"info":"∤↝NaN=NaN","layer":1},{"info":"NaN⪘⨀=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"(((⪛⨧$5273$)⫸⊐$1709$↓$2765$)⩌⋺($4220$⨲)≁($3713$⨟⋌⩍$1347$))∳⫺((⊖∈($5833$↠))⫸⇳($2580$⊋≦⊧$1052$)⩇∃⫛(⫵↿$3682$))","expression":"(((⪛⨧⫖↰⪸3075)⫸⊐⫖↰⪸BA5↓⫖↰⪸1725)⩌⋺(⫖↰⪸2538⨲)≁(⫖↰⪸2195⨟⋌⩍⫖↰⪸943))∳⫺((⊖∈(⫖↰⪸3461↠))⫸⇳(⫖↰⪸15B0⊋≦⊧⫖↰⪸738)⩇∃⫛(⫵↿⫖↰⪸216A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":679890,"operation_count":14,"complexity_ratio":48563.57142857143,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":5273,"base":12}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1709,"base":12},"right_expr":{"type":"numeric_atoms","value":2765,"base":12}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":4220,"base":12}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3713,"base":12},"right_expr":{"type":"numeric_atoms","value":1347,"base":12}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":5833,"base":12}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2580,"base":12},"right_expr":{"type":"numeric_atoms","value":1052,"base":12}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":3682,"base":12}}}}},"used_operators":["AzXXKTstlj","g7Hmc5v1ko","mqXw5SEYmG","6NJAcO2OWT","Af076pWI7l","8N2wDY1A35","nLYMGWM7L8","rGHVDoGpnC","gx7XJ7hdpj","YFxL8Sc2Zy","LBdsKIvxzf","1aApVXNlOP","oRDoc9rAEX","ivGwdmUAux"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","Tcnh7f0tEr","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a"],"result":"⫖↰⪸-198","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5273","layer":4},{"info":"compute unary expreesion, input=5273, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=11947","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=2765","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=2765, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=11947, right_input=-134, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-661","layer":2},{"info":"number node, value=4220","layer":4},{"info":"compute unary expreesion, input=4220, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=749738509","layer":3},{"info":"number node, value=3713","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=1347, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=749738509, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-661, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=5833","layer":4},{"info":"compute unary expreesion, input=5833, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=4086194","layer":2},{"info":"number node, value=2580","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=1052, 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=-1864","layer":3},{"info":"number node, value=3682","layer":4},{"info":"compute unary expreesion, input=3682, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=-1864, right_input=137, 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=-1864","layer":2},{"info":"compute binary expreesion, left_input=4086194, right_input=-1864, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":12,"result_base":12,"text":"(((⪛⨧⫖↰⪸3075)⫸⊐⫖↰⪸BA5↓⫖↰⪸1725)⩌⋺(⫖↰⪸2538⨲)≁(⫖↰⪸2195⨟⋌⩍⫖↰⪸943))∳⫺((⊖∈(⫖↰⪸3461↠))⫸⇳(⫖↰⪸15B0⊋≦⊧⫖↰⪸738)⩇∃⫛(⫵↿⫖↰⪸216A))=⫖↰⪸-198","reverse_text":"⫖↰⪸-198=(((⪛⨧⫖↰⪸3075)⫸⊐⫖↰⪸BA5↓⫖↰⪸1725)⩌⋺(⫖↰⪸2538⨲)≁(⫖↰⪸2195⨟⋌⩍⫖↰⪸943))∳⫺((⊖∈(⫖↰⪸3461↠))⫸⇳(⫖↰⪸15B0⊋≦⊧⫖↰⪸738)⩇∃⫛(⫵↿⫖↰⪸216A))","cot":[{"info":"⪛⨧⫖↰⪸3075=⫖↰⪸6AB7","layer":3},{"info":"⫖↰⪸BA5↓⫖↰⪸1725=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸6AB7⫸⊐⫖↰⪸-B2=⫖↰⪸-471","layer":2},{"info":"⫖↰⪸2538⨲=⫖↰⪸18B104551","layer":3},{"info":"⫖↰⪸2195⨟⋌⩍⫖↰⪸943=NaN","layer":3},{"info":"⫖↰⪸18B104551≁NaN=NaN","layer":2},{"info":"⫖↰⪸-471⩌⋺NaN=NaN","layer":1},{"info":"⫖↰⪸3461↠=⫖↰⪸-313","layer":3},{"info":"⊖∈⫖↰⪸-313=⫖↰⪸1450842","layer":2},{"info":"⫖↰⪸15B0⊋≦⊧⫖↰⪸738=⫖↰⪸-10B4","layer":3},{"info":"⫵↿⫖↰⪸216A=⫖↰⪸B5","layer":3},{"info":"⫖↰⪸-10B4⩇∃⫛⫖↰⪸B5=⫖↰⪸-10B4","layer":2},{"info":"⫖↰⪸1450842⫸⇳⫖↰⪸-10B4=⫖↰⪸0","layer":1},{"info":"NaN∳⫺⫖↰⪸0=⫖↰⪸-198","layer":0}]}
{"id":920,"expression_no_base_symbol":"(⨑⩽⪐(∑⇻≧$2451$)∼($8018$≃⋄))⫚↹⊑((⪨⨬$1132$)↞⋁($3656$↢$3007$)⋖∅⋲)","expression":"(⨑⩽⪐(∑⇻≧⫖↰⪸1503)∼(⫖↰⪸4782≃⋄))⫚↹⊑((⪨⨬⫖↰⪸7A4)↞⋁(⫖↰⪸2148↢⫖↰⪸18A7)⋖∅⋲)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3370,"operation_count":9,"complexity_ratio":374.44444444444446,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2451,"base":12}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":8018,"base":12}}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1132,"base":12}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3656,"base":12},"right_expr":{"type":"numeric_atoms","value":3007,"base":12}}}}},"used_operators":["dfKe02y8D2","AF7qkfDlqP","DyGG3AbaNP","l1M9WJ3V7u","aN9a90urxU","L95AwlJzhO","RqrPlJkxDo","5obUd6DV38","WR6HLWljOP"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","uFcxV4UQCh","jLgFTUHLKL","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","T2fj7uvVaJ","nlCqmYiOvY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=8018","layer":4},{"info":"compute unary expreesion, input=8018, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=764, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":1},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=3656","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=3007, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3172","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=3172, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=789, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":12,"result_base":12,"text":"(⨑⩽⪐(∑⇻≧⫖↰⪸1503)∼(⫖↰⪸4782≃⋄))⫚↹⊑((⪨⨬⫖↰⪸7A4)↞⋁(⫖↰⪸2148↢⫖↰⪸18A7)⋖∅⋲)=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=(⨑⩽⪐(∑⇻≧⫖↰⪸1503)∼(⫖↰⪸4782≃⋄))⫚↹⊑((⪨⨬⫖↰⪸7A4)↞⋁(⫖↰⪸2148↢⫖↰⪸18A7)⋖∅⋲)","cot":[{"info":"∑⇻≧⫖↰⪸1503=⫖↰⪸-5B0","layer":3},{"info":"⫖↰⪸4782≃⋄=⫖↰⪸538","layer":3},{"info":"⫖↰⪸-5B0∼⫖↰⪸538=⫖↰⪸0","layer":2},{"info":"⨑⩽⪐⫖↰⪸0=⫖↰⪸559","layer":1},{"info":"⪨⨬⫖↰⪸7A4=⫖↰⪸-37A","layer":3},{"info":"⫖↰⪸2148↢⫖↰⪸18A7=⫖↰⪸1A04","layer":3},{"info":"⫖↰⪸-37A↞⋁⫖↰⪸1A04=NaN","layer":2},{"info":"NaN⋖∅⋲=NaN","layer":1},{"info":"⫖↰⪸559⫚↹⊑NaN=⫖↰⪸-313","layer":0}]}
{"id":921,"expression_no_base_symbol":"⨑⩽⪐((($1318$∛≔)⨵⪆(⪫⨮⊛$1755$))⪄(⊊≼∋$1296$)⪮%⊝$6229$∓⋝$2314$)","expression":"⨑⩽⪐(((⫖↰⪸91A∛≔)⨵⪆(⪫⨮⊛⫖↰⪸1023))⪄(⊊≼∋⫖↰⪸900)⪮%⊝⫖↰⪸3731∓⋝⫖↰⪸140A)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1055659,"operation_count":8,"complexity_ratio":131957.375,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1318,"base":12}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1755,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1296,"base":12}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":6229,"base":12},"right_expr":{"type":"numeric_atoms","value":2314,"base":12}}}}},"used_operators":["AF7qkfDlqP","SUmda5xLS4","2DQ55sFlQl","mGnSCrte3L","w5FWba1tyO","IWmyXbctLI","FWz7pXsQhA","PoHhknlbAi"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","jCPkEVoL5K","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⫖↰⪸187B3","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":3},{"info":"number node, value=1755","layer":4},{"info":"compute unary expreesion, input=1755, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-305287, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=6229","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=6229, right_input=2314, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=67, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-578","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-578, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-17457","layer":1},{"info":"compute unary expreesion, input=-17457, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=35703","layer":0}],"base":12,"result_base":12,"text":"⨑⩽⪐(((⫖↰⪸91A∛≔)⨵⪆(⪫⨮⊛⫖↰⪸1023))⪄(⊊≼∋⫖↰⪸900)⪮%⊝⫖↰⪸3731∓⋝⫖↰⪸140A)=⫖↰⪸187B3","reverse_text":"⫖↰⪸187B3=⨑⩽⪐(((⫖↰⪸91A∛≔)⨵⪆(⪫⨮⊛⫖↰⪸1023))⪄(⊊≼∋⫖↰⪸900)⪮%⊝⫖↰⪸3731∓⋝⫖↰⪸140A)","cot":[{"info":"⫖↰⪸91A∛≔=⫖↰⪸-128807","layer":3},{"info":"⪫⨮⊛⫖↰⪸1023=NaN","layer":3},{"info":"⫖↰⪸-128807⨵⪆NaN=⫖↰⪸114","layer":2},{"info":"⊊≼∋⫖↰⪸900=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸3731∓⋝⫖↰⪸140A=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-313⪮%⊝⫖↰⪸57=⫖↰⪸-402","layer":2},{"info":"⫖↰⪸114⪄⫖↰⪸-402=⫖↰⪸-A129","layer":1},{"info":"⨑⩽⪐⫖↰⪸-A129=⫖↰⪸187B3","layer":0}]}
{"id":922,"expression_no_base_symbol":"(($5486$+$2807$)⊴⇁⪶)≬⋮(⩷$5912$)⨐⩸⫘($1544$≬⋮$4276$)∽($3865$⋾⨃∁$1011$∙⊟$1221$⪪$3507$)≎⊠⪸($2966$⊬⨰$2361$⩘)","expression":"((⫖↰⪸3212+⫖↰⪸175B)⊴⇁⪶)≬⋮(⩷⫖↰⪸3508)⨐⩸⫘(⫖↰⪸A88≬⋮⫖↰⪸2584)∽(⫖↰⪸22A1⋾⨃∁⫖↰⪸703∙⊟⫖↰⪸859⪪⫖↰⪸2043)≎⊠⪸(⫖↰⪸1872⊬⨰⫖↰⪸1449⩘)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":772364,"operation_count":13,"complexity_ratio":59412.61538461538,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5486,"base":12},"right_expr":{"type":"numeric_atoms","value":2807,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":5912,"base":12}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1544,"base":12},"right_expr":{"type":"numeric_atoms","value":4276,"base":12}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3865,"base":12},"right_expr":{"type":"numeric_atoms","value":1011,"base":12}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1221,"base":12},"right_expr":{"type":"numeric_atoms","value":3507,"base":12}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2966,"base":12},"right_expr":{"type":"numeric_atoms","value":2361,"base":12}}}}},"used_operators":["y4ImoPnbV5","kbkesczE7y","oo9mF6JIpo","W4YGzv6Whe","fu6greOZ01","1h0rLqGiFr","bJkvcejdHO","SxTAKzQCrw","212REbPD9h","xD69zh8xqp","wvHyciQT5X","s3Fd5m9Dh2"],"dependent_operators":["NTOWxs364D","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","3ViojmjbAp","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","FU0Cs4j7VP","JclMnS0uGI","9ICcGScMcE","dfKe02y8D2","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=5486","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=2807, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8293","layer":3},{"info":"compute unary expreesion, input=8293, 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=174768","layer":2},{"info":"number node, value=5912","layer":4},{"info":"compute unary expreesion, input=5912, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-71023","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=4276","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=4276, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-71023, right_input=868, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-871","layer":2},{"info":"compute binary expreesion, left_input=174768, right_input=-871, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=3865","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=1011, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10208984","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=3507","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=3507, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-180460","layer":3},{"info":"compute binary expreesion, left_input=10208984, right_input=-180460, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=132726638","layer":2},{"info":"number node, value=2966","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=2361, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11354","layer":3},{"info":"compute unary expreesion, input=11354, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=132726638, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=inf, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸3212+⫖↰⪸175B)⊴⇁⪶)≬⋮(⩷⫖↰⪸3508)⨐⩸⫘(⫖↰⪸A88≬⋮⫖↰⪸2584)∽(⫖↰⪸22A1⋾⨃∁⫖↰⪸703∙⊟⫖↰⪸859⪪⫖↰⪸2043)≎⊠⪸(⫖↰⪸1872⊬⨰⫖↰⪸1449⩘)=NaN","reverse_text":"NaN=((⫖↰⪸3212+⫖↰⪸175B)⊴⇁⪶)≬⋮(⩷⫖↰⪸3508)⨐⩸⫘(⫖↰⪸A88≬⋮⫖↰⪸2584)∽(⫖↰⪸22A1⋾⨃∁⫖↰⪸703∙⊟⫖↰⪸859⪪⫖↰⪸2043)≎⊠⪸(⫖↰⪸1872⊬⨰⫖↰⪸1449⩘)","cot":[{"info":"⫖↰⪸3212+⫖↰⪸175B=⫖↰⪸4971","layer":3},{"info":"⫖↰⪸4971⊴⇁⪶=⫖↰⪸85180","layer":2},{"info":"⩷⫖↰⪸3508=⫖↰⪸-35127","layer":3},{"info":"⫖↰⪸A88≬⋮⫖↰⪸2584=⫖↰⪸604","layer":3},{"info":"⫖↰⪸-35127⨐⩸⫘⫖↰⪸604=⫖↰⪸-607","layer":2},{"info":"⫖↰⪸85180≬⋮⫖↰⪸-607=⫖↰⪸604","layer":1},{"info":"⫖↰⪸22A1⋾⨃∁⫖↰⪸703=⫖↰⪸3503B88","layer":3},{"info":"⫖↰⪸859⪪⫖↰⪸2043=⫖↰⪸-88524","layer":3},{"info":"⫖↰⪸3503B88∙⊟⫖↰⪸-88524=⫖↰⪸38549492","layer":2},{"info":"⫖↰⪸1872⊬⨰⫖↰⪸1449=⫖↰⪸66A2","layer":3},{"info":"⫖↰⪸66A2⩘=⫖↰⪸57","layer":2},{"info":"⫖↰⪸38549492≎⊠⪸⫖↰⪸57=Inf","layer":1},{"info":"⫖↰⪸604∽Inf=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(⪲⇎($4524$⩨$3366$))↢($2157$↤⩊$2229$⨓(↘$4272$))⪨≂(($1158$⊫∞)⩼⇪↪(⇐$2477$)⩭)","expression":"(⪲⇎(⫖↰⪸2750⩨⫖↰⪸1B46))↢(⫖↰⪸12B9↤⩊⫖↰⪸1359⨓(↘⫖↰⪸2580))⪨≂((⫖↰⪸806⊫∞)⩼⇪↪(⇐⫖↰⪸1525)⩭)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":310761,"operation_count":11,"complexity_ratio":28251.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4524,"base":12},"right_expr":{"type":"numeric_atoms","value":3366,"base":12}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2157,"base":12},"right_expr":{"type":"numeric_atoms","value":2229,"base":12}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4272,"base":12}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":1158,"base":12}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2477,"base":12}}}}},"used_operators":["sdazOOVcIp","WR6HLWljOP","XPYlsWDdGa","2DlMacCsIx","3ViojmjbAp","13rbtpv6ld","LdNpr8hQHL","yIPP7u6H5x","ocnLzx9CaJ","pABnYW3G3E","nmZMaaE0Q9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","uFcxV4UQCh","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4524","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=4524, right_input=3366, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=2157","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=2229, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4272","layer":4},{"info":"compute unary expreesion, input=4272, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=352","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=352, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-355","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-355, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=2477","layer":4},{"info":"compute unary expreesion, input=2477, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2088","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2088, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-15399","layer":2},{"info":"compute unary expreesion, input=-15399, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎(⫖↰⪸2750⩨⫖↰⪸1B46))↢(⫖↰⪸12B9↤⩊⫖↰⪸1359⨓(↘⫖↰⪸2580))⪨≂((⫖↰⪸806⊫∞)⩼⇪↪(⇐⫖↰⪸1525)⩭)=NaN","reverse_text":"NaN=(⪲⇎(⫖↰⪸2750⩨⫖↰⪸1B46))↢(⫖↰⪸12B9↤⩊⫖↰⪸1359⨓(↘⫖↰⪸2580))⪨≂((⫖↰⪸806⊫∞)⩼⇪↪(⇐⫖↰⪸1525)⩭)","cot":[{"info":"⫖↰⪸2750⩨⫖↰⪸1B46=⫖↰⪸0","layer":3},{"info":"⪲⇎⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⫖↰⪸12B9↤⩊⫖↰⪸1359=NaN","layer":3},{"info":"↘⫖↰⪸2580=⫖↰⪸254","layer":3},{"info":"NaN⨓⫖↰⪸254=⫖↰⪸-257","layer":2},{"info":"⫖↰⪸0↢⫖↰⪸-257=⫖↰⪸-344","layer":1},{"info":"⫖↰⪸806⊫∞=⫖↰⪸0","layer":3},{"info":"⇐⫖↰⪸1525=⫖↰⪸1260","layer":3},{"info":"⫖↰⪸0⩼⇪↪⫖↰⪸1260=⫖↰⪸-8AB3","layer":2},{"info":"⫖↰⪸-8AB3⩭=NaN","layer":1},{"info":"⫖↰⪸-344⪨≂NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"(→⩰$8385$⪛$2764$⇴∐$1574$⋕⪉⪜$5854$)⊍⩺⋍($5704$⨻⩈⩔$3058$⫲≸⪮(≪$1194$))⇷($1947$⊢$3887$⫌⩉⩟$3091$⨒$1594$)","expression":"(→⩰⫖↰⪸4A29⪛⫖↰⪸1724⇴∐⫖↰⪸AB2⋕⪉⪜⫖↰⪸347A)⊍⩺⋍(⫖↰⪸3374⨻⩈⩔⫖↰⪸192A⫲≸⪮(≪⫖↰⪸836))⇷(⫖↰⪸1163⊢⫖↰⪸22BB⫌⩉⩟⫖↰⪸1957⨒⫖↰⪸B0A)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":760434,"operation_count":12,"complexity_ratio":63369.5,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8385,"base":12},"right_expr":{"type":"numeric_atoms","value":2764,"base":12}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1574,"base":12},"right_expr":{"type":"numeric_atoms","value":5854,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5704,"base":12},"right_expr":{"type":"numeric_atoms","value":3058,"base":12}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1194,"base":12}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1947,"base":12},"right_expr":{"type":"numeric_atoms","value":3887,"base":12}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3091,"base":12},"right_expr":{"type":"numeric_atoms","value":1594,"base":12}}}}},"used_operators":["OXDGMFPWZM","o8Pngz0Tml","HnzytWxmAO","uFcxV4UQCh","z6LnFrNh4i","mp7IySMOzn","P3lXMJvFrc","nEsXyWgiOK","Qtd6bqUJcN","XIIwhv8d0m","5twsqlHp2o","y75s1iXyHd"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8385","layer":4},{"info":"number node, value=2764","layer":4},{"info":"compute binary expreesion, left_input=8385, right_input=2764, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=93","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=5854","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=5854, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=93, right_input=204, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=5704","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=5704, right_input=3058, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=37231","layer":3},{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=37231, right_input=913, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=37231","layer":2},{"info":"number node, value=1947","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=3887, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4138","layer":3},{"info":"number node, value=3091","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=1594, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-18174","layer":3},{"info":"compute binary expreesion, left_input=-4138, right_input=-18174, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=37231, right_input=-50, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-100, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(→⩰⫖↰⪸4A29⪛⫖↰⪸1724⇴∐⫖↰⪸AB2⋕⪉⪜⫖↰⪸347A)⊍⩺⋍(⫖↰⪸3374⨻⩈⩔⫖↰⪸192A⫲≸⪮(≪⫖↰⪸836))⇷(⫖↰⪸1163⊢⫖↰⪸22BB⫌⩉⩟⫖↰⪸1957⨒⫖↰⪸B0A)=NaN","reverse_text":"NaN=(→⩰⫖↰⪸4A29⪛⫖↰⪸1724⇴∐⫖↰⪸AB2⋕⪉⪜⫖↰⪸347A)⊍⩺⋍(⫖↰⪸3374⨻⩈⩔⫖↰⪸192A⫲≸⪮(≪⫖↰⪸836))⇷(⫖↰⪸1163⊢⫖↰⪸22BB⫌⩉⩟⫖↰⪸1957⨒⫖↰⪸B0A)","cot":[{"info":"⫖↰⪸4A29⪛⫖↰⪸1724=⫖↰⪸79","layer":3},{"info":"⫖↰⪸AB2⋕⪉⪜⫖↰⪸347A=⫖↰⪸150","layer":3},{"info":"⫖↰⪸79⇴∐⫖↰⪸150=⫖↰⪸-98","layer":2},{"info":"→⩰⫖↰⪸-98=NaN","layer":1},{"info":"⫖↰⪸3374⨻⩈⩔⫖↰⪸192A=⫖↰⪸19667","layer":3},{"info":"≪⫖↰⪸836=⫖↰⪸641","layer":3},{"info":"⫖↰⪸19667⫲≸⪮⫖↰⪸641=⫖↰⪸19667","layer":2},{"info":"⫖↰⪸1163⊢⫖↰⪸22BB=⫖↰⪸-248A","layer":3},{"info":"⫖↰⪸1957⨒⫖↰⪸B0A=⫖↰⪸-A626","layer":3},{"info":"⫖↰⪸-248A⫌⩉⩟⫖↰⪸-A626=⫖↰⪸-42","layer":2},{"info":"⫖↰⪸19667⇷⫖↰⪸-42=⫖↰⪸-84","layer":1},{"info":"NaN⊍⩺⋍⫖↰⪸-84=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"∨∊⋏((⨛(⇐$2839$))≣⋋)","expression":"∨∊⋏((⨛(⇐⫖↰⪸1787))≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":152,"operation_count":4,"complexity_ratio":38.0,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2839,"base":12}}}}},"used_operators":["R5aXW34M0v","Tcnh7f0tEr","CoMdbyAt7R","nmZMaaE0Q9"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2839","layer":4},{"info":"compute unary expreesion, input=2839, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4260","layer":3},{"info":"compute unary expreesion, input=4260, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"∨∊⋏((⨛(⇐⫖↰⪸1787))≣⋋)=NaN","reverse_text":"NaN=∨∊⋏((⨛(⇐⫖↰⪸1787))≣⋋)","cot":[{"info":"⇐⫖↰⪸1787=⫖↰⪸2570","layer":3},{"info":"⨛⫖↰⪸2570=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"∨∊⋏NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"$4356$⨥⫆$1008$⪒⊣⊆(⨵≀≌$6962$)∼$3721$↳∿⪆$3339$∛$2091$⨜⨶$1732$⩺⪪((⨝⨆($1554$⪣⫩))⪨≂$2381$≹⇙⪍$2276$≬⇓$4178$⪢$8316$)","expression":"⫖↰⪸2630⨥⫆⫖↰⪸700⪒⊣⊆(⨵≀≌⫖↰⪸4042)∼⫖↰⪸21A1↳∿⪆⫖↰⪸1B23∛⫖↰⪸1263⨜⨶⫖↰⪸1004⩺⪪((⨝⨆(⫖↰⪸A96⪣⫩))⪨≂⫖↰⪸1465≹⇙⪍⫖↰⪸1398≬⇓⫖↰⪸2502⪢⫖↰⪸4990)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11347,"operation_count":14,"complexity_ratio":810.5,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4356,"base":12},"right_expr":{"type":"numeric_atoms","value":1008,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6962,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3721,"base":12},"right_expr":{"type":"numeric_atoms","value":3339,"base":12}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2091,"base":12},"right_expr":{"type":"numeric_atoms","value":1732,"base":12}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1554,"base":12}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2381,"base":12},"right_expr":{"type":"numeric_atoms","value":2276,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4178,"base":12},"right_expr":{"type":"numeric_atoms","value":8316,"base":12}}}}},"used_operators":["uvdQJvN4PV","DyGG3AbaNP","eRqsBgTDFp","yXekIHxTD4","srAu1WTS94","w2537kitQq","Cw4SuJJGHO","HiPekx5b7W","sdazOOVcIp","bQ67fsrMVf","iuk5sVOGFA","jWTQ2TZYIH","AHs5Up7iyr","dWAJyo7jo9"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","dWAJyo7jo9","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4356","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=1008, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=1892","layer":3},{"info":"number node, value=6962","layer":4},{"info":"compute unary expreesion, input=6962, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20886","layer":3},{"info":"compute binary expreesion, left_input=1892, right_input=-20886, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3784","layer":2},{"info":"number node, value=3721","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=3339, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=1732, 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=-3208","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3208, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=3784, right_input=67, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=1554","layer":4},{"info":"compute unary expreesion, input=1554, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=4629","layer":3},{"info":"compute unary expreesion, input=4629, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=4420","layer":2},{"info":"number node, value=2381","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=2276, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4178","layer":4},{"info":"number node, value=8316","layer":4},{"info":"compute binary expreesion, left_input=4178, right_input=8316, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4420, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫖↰⪸2630⨥⫆⫖↰⪸700⪒⊣⊆(⨵≀≌⫖↰⪸4042)∼⫖↰⪸21A1↳∿⪆⫖↰⪸1B23∛⫖↰⪸1263⨜⨶⫖↰⪸1004⩺⪪((⨝⨆(⫖↰⪸A96⪣⫩))⪨≂⫖↰⪸1465≹⇙⪍⫖↰⪸1398≬⇓⫖↰⪸2502⪢⫖↰⪸4990)=NaN","reverse_text":"NaN=⫖↰⪸2630⨥⫆⫖↰⪸700⪒⊣⊆(⨵≀≌⫖↰⪸4042)∼⫖↰⪸21A1↳∿⪆⫖↰⪸1B23∛⫖↰⪸1263⨜⨶⫖↰⪸1004⩺⪪((⨝⨆(⫖↰⪸A96⪣⫩))⪨≂⫖↰⪸1465≹⇙⪍⫖↰⪸1398≬⇓⫖↰⪸2502⪢⫖↰⪸4990)","cot":[{"info":"⫖↰⪸2630⨥⫆⫖↰⪸700=⫖↰⪸1118","layer":3},{"info":"⨵≀≌⫖↰⪸4042=⫖↰⪸-10106","layer":3},{"info":"⫖↰⪸1118⪒⊣⊆⫖↰⪸-10106=⫖↰⪸2234","layer":2},{"info":"⫖↰⪸21A1↳∿⪆⫖↰⪸1B23=NaN","layer":3},{"info":"⫖↰⪸1263⨜⨶⫖↰⪸1004=⫖↰⪸-1A34","layer":3},{"info":"NaN∛⫖↰⪸-1A34=⫖↰⪸57","layer":2},{"info":"⫖↰⪸2234∼⫖↰⪸57=⫖↰⪸0","layer":1},{"info":"⫖↰⪸A96⪣⫩=⫖↰⪸2819","layer":3},{"info":"⨝⨆⫖↰⪸2819=⫖↰⪸2684","layer":2},{"info":"⫖↰⪸1465≹⇙⪍⫖↰⪸1398=NaN","layer":3},{"info":"⫖↰⪸2502⪢⫖↰⪸4990=NaN","layer":3},{"info":"NaN≬⇓NaN=NaN","layer":2},{"info":"⫖↰⪸2684⪨≂NaN=NaN","layer":1},{"info":"⫖↰⪸0⩺⪪NaN=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"⨝⨆(⪝⪂⫅($6268$⊊))⪃⊛⇣(⫡⇟⇯$4105$≝⊿$2444$)","expression":"⨝⨆(⪝⪂⫅(⫖↰⪸3764⊊))⪃⊛⇣(⫡⇟⇯⫖↰⪸2461≝⊿⫖↰⪸14B8)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":980,"operation_count":6,"complexity_ratio":163.33333333333334,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":6268,"base":12}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4105,"base":12},"right_expr":{"type":"numeric_atoms","value":2444,"base":12}}}}},"used_operators":["bQ67fsrMVf","rrgAzCduG9","XTarYq4gQB","W9R8I5fN5A","qWUSsah53b","OKKcZfAt5B"],"dependent_operators":["tifHPKVTfV","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9HNa5Wba9A","8w2t5hMYqp","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","DZ8iAZOCBD","P8v4zCKN1o","12rbrZMWeM"],"result":"⫖↰⪸715","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6268","layer":4},{"info":"compute unary expreesion, input=6268, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute unary expreesion, input=90927, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-13366269","layer":2},{"info":"number node, value=4105","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=4105, right_input=2444, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9526","layer":3},{"info":"compute unary expreesion, input=-9526, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=10394","layer":2},{"info":"compute binary expreesion, left_input=-13366269, right_input=10394, 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 = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1025","layer":0}],"base":12,"result_base":12,"text":"⨝⨆(⪝⪂⫅(⫖↰⪸3764⊊))⪃⊛⇣(⫡⇟⇯⫖↰⪸2461≝⊿⫖↰⪸14B8)=⫖↰⪸715","reverse_text":"⫖↰⪸715=⨝⨆(⪝⪂⫅(⫖↰⪸3764⊊))⪃⊛⇣(⫡⇟⇯⫖↰⪸2461≝⊿⫖↰⪸14B8)","cot":[{"info":"⫖↰⪸3764⊊=⫖↰⪸44753","layer":3},{"info":"⪝⪂⫅⫖↰⪸44753=⫖↰⪸-4587139","layer":2},{"info":"⫖↰⪸2461≝⊿⫖↰⪸14B8=⫖↰⪸-561A","layer":3},{"info":"⫡⇟⇯⫖↰⪸-561A=⫖↰⪸6022","layer":2},{"info":"⫖↰⪸-4587139⪃⊛⇣⫖↰⪸6022=⫖↰⪸86A","layer":1},{"info":"⨝⨆⫖↰⪸86A=⫖↰⪸715","layer":0}]}
{"id":928,"expression_no_base_symbol":"($3691$↳∿⪆$2809$≨$4607$⩖⊿$3179$⪉⨛$2136$↞⋁$2242$↹⊜($3000$⇍⊗$1511$))⇂≾⫗(⊥(⪓⩚$7102$)⪒⊣⊆$2686$⨂≜$4346$)","expression":"(⫖↰⪸2177↳∿⪆⫖↰⪸1761≨⫖↰⪸27BB⩖⊿⫖↰⪸1A0B⪉⨛⫖↰⪸12A0↞⋁⫖↰⪸136A↹⊜(⫖↰⪸18A0⇍⊗⫖↰⪸A5B))⇂≾⫗(⊥(⪓⩚⫖↰⪸413A)⪒⊣⊆⫖↰⪸167A⨂≜⫖↰⪸2622)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":739929,"operation_count":12,"complexity_ratio":61660.75,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3691,"base":12},"right_expr":{"type":"numeric_atoms","value":2809,"base":12}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4607,"base":12},"right_expr":{"type":"numeric_atoms","value":3179,"base":12}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2136,"base":12},"right_expr":{"type":"numeric_atoms","value":2242,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3000,"base":12},"right_expr":{"type":"numeric_atoms","value":1511,"base":12}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":7102,"base":12}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2686,"base":12},"right_expr":{"type":"numeric_atoms","value":4346,"base":12}}}}},"used_operators":["aBQ6xLxuTc","EWw2JM7wp4","0KMCeP1Jsh","Cw4SuJJGHO","RZ5CV9rWsJ","9bazX3JMtO","RqrPlJkxDo","5uvYHDjeKN","Q3PJZHRvZv","eRqsBgTDFp","u0R0Locfp2","k1SHOSEABc"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","fu6greOZ01","sdazOOVcIp","W4YGzv6Whe","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3691","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=3691, right_input=2809, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4607","layer":4},{"info":"number node, value=3179","layer":4},{"info":"compute binary expreesion, left_input=4607, right_input=3179, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6922, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=2136","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=2242, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3000","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=1511, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=7102","layer":4},{"info":"compute unary expreesion, input=7102, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=2686","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=4346, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=852","layer":2},{"info":"compute unary expreesion, input=852, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-855","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-855, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸2177↳∿⪆⫖↰⪸1761≨⫖↰⪸27BB⩖⊿⫖↰⪸1A0B⪉⨛⫖↰⪸12A0↞⋁⫖↰⪸136A↹⊜(⫖↰⪸18A0⇍⊗⫖↰⪸A5B))⇂≾⫗(⊥(⪓⩚⫖↰⪸413A)⪒⊣⊆⫖↰⪸167A⨂≜⫖↰⪸2622)=NaN","reverse_text":"NaN=(⫖↰⪸2177↳∿⪆⫖↰⪸1761≨⫖↰⪸27BB⩖⊿⫖↰⪸1A0B⪉⨛⫖↰⪸12A0↞⋁⫖↰⪸136A↹⊜(⫖↰⪸18A0⇍⊗⫖↰⪸A5B))⇂≾⫗(⊥(⪓⩚⫖↰⪸413A)⪒⊣⊆⫖↰⪸167A⨂≜⫖↰⪸2622)","cot":[{"info":"⫖↰⪸2177↳∿⪆⫖↰⪸1761=NaN","layer":3},{"info":"⫖↰⪸27BB⩖⊿⫖↰⪸1A0B=⫖↰⪸400A","layer":3},{"info":"NaN≨⫖↰⪸400A=NaN","layer":2},{"info":"⫖↰⪸12A0↞⋁⫖↰⪸136A=NaN","layer":3},{"info":"⫖↰⪸18A0⇍⊗⫖↰⪸A5B=⫖↰⪸-184","layer":3},{"info":"NaN↹⊜⫖↰⪸-184=NaN","layer":2},{"info":"NaN⪉⨛NaN=NaN","layer":1},{"info":"⪓⩚⫖↰⪸413A=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸167A⨂≜⫖↰⪸2622=NaN","layer":3},{"info":"⫖↰⪸2B6⪒⊣⊆NaN=⫖↰⪸5B0","layer":2},{"info":"⊥⫖↰⪸5B0=⫖↰⪸-5B3","layer":1},{"info":"NaN⇂≾⫗⫖↰⪸-5B3=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"((⨦⪝$1762$)⇄($2157$⊍⩺⋍$7815$)⨸⪁($5219$⊭∹↮)⩖⊿(⇐$1020$))↓(($1157$≁↽≥$6159$≧⫂∧($6214$⊹∫⫚$1110$))⊢($3351$∈)⊮⊟↴(≻⋜$1376$))","expression":"((⨦⪝⫖↰⪸102A)⇄(⫖↰⪸12B9⊍⩺⋍⫖↰⪸4633)⨸⪁(⫖↰⪸302B⊭∹↮)⩖⊿(⇐⫖↰⪸710))↓((⫖↰⪸805≁↽≥⫖↰⪸3693≧⫂∧(⫖↰⪸371A⊹∫⫚⫖↰⪸786))⊢(⫖↰⪸1B33∈)⊮⊟↴(≻⋜⫖↰⪸968))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":783702,"operation_count":15,"complexity_ratio":52246.8,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1762,"base":12}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2157,"base":12},"right_expr":{"type":"numeric_atoms","value":7815,"base":12}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5219,"base":12}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1020,"base":12}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1157,"base":12},"right_expr":{"type":"numeric_atoms","value":6159,"base":12}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6214,"base":12},"right_expr":{"type":"numeric_atoms","value":1110,"base":12}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":3351,"base":12}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1376,"base":12}}}}},"used_operators":["Af076pWI7l","g55IO6H4Gj","3EYGwJThht","SUjycxNXIR","OXDGMFPWZM","RZ5CV9rWsJ","xNBdhnnwKq","nmZMaaE0Q9","5twsqlHp2o","Ph9nP6C5qx","ncHt1X6cMc","uWAJUKEvyW","QDVgd2eftb","ztP7wcbY7m","3tj9sqzovi"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=2157","layer":4},{"info":"number node, value=7815","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=7815, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"number node, value=5219","layer":4},{"info":"compute unary expreesion, input=5219, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10438","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2194","layer":3},{"info":"compute binary expreesion, left_input=10438, right_input=2194, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-24282","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-24282, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1157","layer":4},{"info":"number node, value=6159","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=6159, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=27287","layer":3},{"info":"number node, value=6214","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=6214, right_input=1110, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-312","layer":3},{"info":"compute binary expreesion, left_input=27287, right_input=-312, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=27599","layer":2},{"info":"number node, value=3351","layer":4},{"info":"compute unary expreesion, input=3351, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=9382","layer":3},{"info":"number node, value=1376","layer":4},{"info":"compute unary expreesion, input=1376, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9382, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=27599, 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=-55442","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55442, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":12,"result_base":12,"text":"((⨦⪝⫖↰⪸102A)⇄(⫖↰⪸12B9⊍⩺⋍⫖↰⪸4633)⨸⪁(⫖↰⪸302B⊭∹↮)⩖⊿(⇐⫖↰⪸710))↓((⫖↰⪸805≁↽≥⫖↰⪸3693≧⫂∧(⫖↰⪸371A⊹∫⫚⫖↰⪸786))⊢(⫖↰⪸1B33∈)⊮⊟↴(≻⋜⫖↰⪸968))=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=((⨦⪝⫖↰⪸102A)⇄(⫖↰⪸12B9⊍⩺⋍⫖↰⪸4633)⨸⪁(⫖↰⪸302B⊭∹↮)⩖⊿(⇐⫖↰⪸710))↓((⫖↰⪸805≁↽≥⫖↰⪸3693≧⫂∧(⫖↰⪸371A⊹∫⫚⫖↰⪸786))⊢(⫖↰⪸1B33∈)⊮⊟↴(≻⋜⫖↰⪸968))","cot":[{"info":"⨦⪝⫖↰⪸102A=⫖↰⪸-1110","layer":3},{"info":"⫖↰⪸12B9⊍⩺⋍⫖↰⪸4633=NaN","layer":3},{"info":"⫖↰⪸-1110⇄NaN=NaN","layer":2},{"info":"⫖↰⪸302B⊭∹↮=⫖↰⪸605A","layer":3},{"info":"⇐⫖↰⪸710=⫖↰⪸132A","layer":3},{"info":"⫖↰⪸605A⩖⊿⫖↰⪸132A=⫖↰⪸-12076","layer":2},{"info":"NaN⨸⪁⫖↰⪸-12076=NaN","layer":1},{"info":"⫖↰⪸805≁↽≥⫖↰⪸3693=⫖↰⪸1395B","layer":3},{"info":"⫖↰⪸371A⊹∫⫚⫖↰⪸786=⫖↰⪸-220","layer":3},{"info":"⫖↰⪸1395B≧⫂∧⫖↰⪸-220=⫖↰⪸13B7B","layer":2},{"info":"⫖↰⪸1B33∈=⫖↰⪸551A","layer":3},{"info":"≻⋜⫖↰⪸968=NaN","layer":3},{"info":"⫖↰⪸551A⊮⊟↴NaN=NaN","layer":2},{"info":"⫖↰⪸13B7B⊢NaN=⫖↰⪸-28102","layer":1},{"info":"NaN↓⫖↰⪸-28102=⫖↰⪸-B2","layer":0}]}
{"id":930,"expression_no_base_symbol":"($3252$⊵↤)∳⫺($4653$⫯⪬∳$2527$)⪚(($4048$↙$1852$)⇞)⫸⇳(($1231$∙⊟$2250$⊉≛↸(↓⇌$2002$))↺($5671$⊋≦⊧$1484$⨸⪁$1628$∝$4456$))","expression":"(⫖↰⪸1A70⊵↤)∳⫺(⫖↰⪸2839⫯⪬∳⫖↰⪸1567)⪚((⫖↰⪸2414↙⫖↰⪸10A4)⇞)⫸⇳((⫖↰⪸867∙⊟⫖↰⪸1376⊉≛↸(↓⇌⫖↰⪸11AA))↺(⫖↰⪸3347⊋≦⊧⫖↰⪸A38⨸⪁⫖↰⪸B38∝⫖↰⪸26B4))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3322,"operation_count":14,"complexity_ratio":237.28571428571428,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":3252,"base":12}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4653,"base":12},"right_expr":{"type":"numeric_atoms","value":2527,"base":12}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4048,"base":12},"right_expr":{"type":"numeric_atoms","value":1852,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1231,"base":12},"right_expr":{"type":"numeric_atoms","value":2250,"base":12}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2002,"base":12}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5671,"base":12},"right_expr":{"type":"numeric_atoms","value":1484,"base":12}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1628,"base":12},"right_expr":{"type":"numeric_atoms","value":4456,"base":12}}}}},"used_operators":["gx7XJ7hdpj","HrjLwUk87U","AzXXKTstlj","7IPrd9c3lf","d7ASUq0ydm","5JYyxRJd4f","yyfyN0ffXY","7j4O788W3g","DZ8iAZOCBD","SxTAKzQCrw","PxpmPgHHJV","g55IO6H4Gj","oRDoc9rAEX","cTDWOvIxvz"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3252","layer":4},{"info":"compute unary expreesion, input=3252, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"number node, value=4653","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=4653, right_input=2527, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=20771","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=20771, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-41212","layer":2},{"info":"number node, value=4048","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=1852, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5556","layer":3},{"info":"compute unary expreesion, input=-5556, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute binary expreesion, left_input=-41212, right_input=-537, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=81548","layer":1},{"info":"number node, value=1231","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2250, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25849","layer":3},{"info":"number node, value=2002","layer":4},{"info":"compute unary expreesion, input=2002, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2002","layer":3},{"info":"compute binary expreesion, left_input=25849, right_input=2002, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=51698","layer":2},{"info":"number node, value=5671","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=5671, right_input=1484, 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=-2728","layer":3},{"info":"number node, value=1628","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=4456, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1633","layer":3},{"info":"compute binary expreesion, left_input=-2728, right_input=1633, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2190","layer":2},{"info":"compute binary expreesion, left_input=51698, right_input=-2190, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2190","layer":1},{"info":"compute binary expreesion, left_input=81548, right_input=-2190, 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":12,"result_base":12,"text":"(⫖↰⪸1A70⊵↤)∳⫺(⫖↰⪸2839⫯⪬∳⫖↰⪸1567)⪚((⫖↰⪸2414↙⫖↰⪸10A4)⇞)⫸⇳((⫖↰⪸867∙⊟⫖↰⪸1376⊉≛↸(↓⇌⫖↰⪸11AA))↺(⫖↰⪸3347⊋≦⊧⫖↰⪸A38⨸⪁⫖↰⪸B38∝⫖↰⪸26B4))=⫖↰⪸0","reverse_text":"⫖↰⪸0=(⫖↰⪸1A70⊵↤)∳⫺(⫖↰⪸2839⫯⪬∳⫖↰⪸1567)⪚((⫖↰⪸2414↙⫖↰⪸10A4)⇞)⫸⇳((⫖↰⪸867∙⊟⫖↰⪸1376⊉≛↸(↓⇌⫖↰⪸11AA))↺(⫖↰⪸3347⊋≦⊧⫖↰⪸A38⨸⪁⫖↰⪸B38∝⫖↰⪸26B4))","cot":[{"info":"⫖↰⪸1A70⊵↤=⫖↰⪸57","layer":3},{"info":"⫖↰⪸2839⫯⪬∳⫖↰⪸1567=⫖↰⪸1002B","layer":3},{"info":"⫖↰⪸57∳⫺⫖↰⪸1002B=⫖↰⪸-1BA24","layer":2},{"info":"⫖↰⪸2414↙⫖↰⪸10A4=⫖↰⪸-3270","layer":3},{"info":"⫖↰⪸-3270⇞=⫖↰⪸-389","layer":2},{"info":"⫖↰⪸-1BA24⪚⫖↰⪸-389=⫖↰⪸3B238","layer":1},{"info":"⫖↰⪸867∙⊟⫖↰⪸1376=⫖↰⪸12B61","layer":3},{"info":"↓⇌⫖↰⪸11AA=⫖↰⪸11AA","layer":3},{"info":"⫖↰⪸12B61⊉≛↸⫖↰⪸11AA=⫖↰⪸25B02","layer":2},{"info":"⫖↰⪸3347⊋≦⊧⫖↰⪸A38=⫖↰⪸-16B4","layer":3},{"info":"⫖↰⪸B38∝⫖↰⪸26B4=⫖↰⪸B41","layer":3},{"info":"⫖↰⪸-16B4⨸⪁⫖↰⪸B41=⫖↰⪸-1326","layer":2},{"info":"⫖↰⪸25B02↺⫖↰⪸-1326=⫖↰⪸-1326","layer":1},{"info":"⫖↰⪸3B238⫸⇳⫖↰⪸-1326=⫖↰⪸0","layer":0}]}
{"id":931,"expression_no_base_symbol":"(⫶⊄≣($1704$≴⪞⇿$3765$≚⋢))⋭≵(⊥$2441$↹⊜$3236$⫉⨲⊜$1080$∺≝⩲$5537$)","expression":"(⫶⊄≣(⫖↰⪸BA0≴⪞⇿⫖↰⪸2219≚⋢))⋭≵(⊥⫖↰⪸14B5↹⊜⫖↰⪸1A58⫉⨲⊜⫖↰⪸760∺≝⩲⫖↰⪸3255)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26255,"operation_count":8,"complexity_ratio":3281.875,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1704,"base":12},"right_expr":{"type":"numeric_atoms","value":3765,"base":12}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2441,"base":12},"right_expr":{"type":"numeric_atoms","value":3236,"base":12}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1080,"base":12},"right_expr":{"type":"numeric_atoms","value":5537,"base":12}}}}},"used_operators":["jBncVCNhdl","wxb3vTeyAj","MahUMFw56D","lvlrscuwVU","Q3PJZHRvZv","WhqkvtTD3t","9bazX3JMtO","KPf6cnQVty"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","3ViojmjbAp","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","fu6greOZ01","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⫖↰⪸57","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1704","layer":4},{"info":"number node, value=3765","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=3765, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4095756","layer":3},{"info":"compute unary expreesion, input=4095756, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute unary expreesion, input=-89, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=137665","layer":1},{"info":"number node, value=2441","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=3236, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-8158","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=5537","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=5537, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-8158, right_input=160, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=666476390","layer":2},{"info":"compute unary expreesion, input=666476390, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137665, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":12,"result_base":12,"text":"(⫶⊄≣(⫖↰⪸BA0≴⪞⇿⫖↰⪸2219≚⋢))⋭≵(⊥⫖↰⪸14B5↹⊜⫖↰⪸1A58⫉⨲⊜⫖↰⪸760∺≝⩲⫖↰⪸3255)=⫖↰⪸57","reverse_text":"⫖↰⪸57=(⫶⊄≣(⫖↰⪸BA0≴⪞⇿⫖↰⪸2219≚⋢))⋭≵(⊥⫖↰⪸14B5↹⊜⫖↰⪸1A58⫉⨲⊜⫖↰⪸760∺≝⩲⫖↰⪸3255)","cot":[{"info":"⫖↰⪸BA0≴⪞⇿⫖↰⪸2219=⫖↰⪸1456290","layer":3},{"info":"⫖↰⪸1456290≚⋢=⫖↰⪸-75","layer":2},{"info":"⫶⊄≣⫖↰⪸-75=⫖↰⪸67801","layer":1},{"info":"⫖↰⪸14B5↹⊜⫖↰⪸1A58=⫖↰⪸-487A","layer":3},{"info":"⫖↰⪸760∺≝⩲⫖↰⪸3255=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-487A⫉⨲⊜⫖↰⪸114=⫖↰⪸167250432","layer":2},{"info":"⊥⫖↰⪸167250432=NaN","layer":1},{"info":"⫖↰⪸67801⋭≵NaN=⫖↰⪸57","layer":0}]}
{"id":932,"expression_no_base_symbol":"(≋$6676$⪬$7685$⨂≜(⊤⊝$1526$))⨼⩣(($4118$≭$2730$)⋕⪉⪜($1377$↬$1134$)⨸⪁(↑(⪫⨮⊛$2182$)))","expression":"(≋⫖↰⪸3A44⪬⫖↰⪸4545⨂≜(⊤⊝⫖↰⪸A72))⨼⩣((⫖↰⪸2472≭⫖↰⪸16B6)⋕⪉⪜(⫖↰⪸969↬⫖↰⪸7A6)⨸⪁(↑(⪫⨮⊛⫖↰⪸131A)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1314351,"operation_count":11,"complexity_ratio":119486.45454545454,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":6676,"base":12},"right_expr":{"type":"numeric_atoms","value":7685,"base":12}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1526,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4118,"base":12},"right_expr":{"type":"numeric_atoms","value":2730,"base":12}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1377,"base":12},"right_expr":{"type":"numeric_atoms","value":1134,"base":12}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2182,"base":12}}}}},"used_operators":["JxwMv5le6e","61wBmkZwlr","k1SHOSEABc","Ez1Nq5fNfI","rXAclfmB4M","g55IO6H4Gj","z6LnFrNh4i","rxpJgHHUmx","B5M0gjZbta","tR7O2zTn5j","w5FWba1tyO"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","7j4O788W3g","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","AHs5Up7iyr","rGHVDoGpnC","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6676","layer":4},{"info":"number node, value=7685","layer":4},{"info":"compute binary expreesion, left_input=6676, right_input=7685, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1526","layer":4},{"info":"compute unary expreesion, input=1526, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1754","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1754, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":1},{"info":"number node, value=4118","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=2730, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1134, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=2182","layer":4},{"info":"compute unary expreesion, input=2182, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≋⫖↰⪸3A44⪬⫖↰⪸4545⨂≜(⊤⊝⫖↰⪸A72))⨼⩣((⫖↰⪸2472≭⫖↰⪸16B6)⋕⪉⪜(⫖↰⪸969↬⫖↰⪸7A6)⨸⪁(↑(⪫⨮⊛⫖↰⪸131A)))=NaN","reverse_text":"NaN=(≋⫖↰⪸3A44⪬⫖↰⪸4545⨂≜(⊤⊝⫖↰⪸A72))⨼⩣((⫖↰⪸2472≭⫖↰⪸16B6)⋕⪉⪜(⫖↰⪸969↬⫖↰⪸7A6)⨸⪁(↑(⪫⨮⊛⫖↰⪸131A)))","cot":[{"info":"⫖↰⪸3A44⪬⫖↰⪸4545=⫖↰⪸86A","layer":3},{"info":"⊤⊝⫖↰⪸A72=⫖↰⪸1022","layer":3},{"info":"⫖↰⪸86A⨂≜⫖↰⪸1022=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"⫖↰⪸2472≭⫖↰⪸16B6=NaN","layer":3},{"info":"⫖↰⪸969↬⫖↰⪸7A6=NaN","layer":3},{"info":"NaN⋕⪉⪜NaN=⫖↰⪸150","layer":2},{"info":"⪫⨮⊛⫖↰⪸131A=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"⫖↰⪸150⨸⪁NaN=NaN","layer":1},{"info":"NaN⨼⩣NaN=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"(⫓⪴($1385$⩅⪻⪻)≎⪠($1751$⪎↠$1647$))⋥⋵⩄(($5534$∪⫐$2202$)↡⊰⫅(↩⪖$3224$)⋻⩜⩜(⪛⨧($1124$⊍⩺⋍$1015$)))","expression":"(⫓⪴(⫖↰⪸975⩅⪻⪻)≎⪠(⫖↰⪸101B⪎↠⫖↰⪸B53))⋥⋵⩄((⫖↰⪸3252∪⫐⫖↰⪸1336)↡⊰⫅(↩⪖⫖↰⪸1A48)⋻⩜⩜(⪛⨧(⫖↰⪸798⊍⩺⋍⫖↰⪸707)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":351663,"operation_count":11,"complexity_ratio":31969.363636363636,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1385,"base":12}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1751,"base":12},"right_expr":{"type":"numeric_atoms","value":1647,"base":12}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5534,"base":12},"right_expr":{"type":"numeric_atoms","value":2202,"base":12}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3224,"base":12}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1124,"base":12},"right_expr":{"type":"numeric_atoms","value":1015,"base":12}}}}},"used_operators":["7t3wd0Fuz7","eLxqMNBOBk","aNhz54LH3e","kHoXpA7yos","3tVxb0NHM4","oDCm7WA9JY","VCtxkLNOzz","7YooWSwCyH","fG6uBQFnGz","6NJAcO2OWT","OXDGMFPWZM"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9HNa5Wba9A","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":4},{"info":"compute unary expreesion, input=1385, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-204405","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1647, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-204405, right_input=160, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=382515364","layer":1},{"info":"number node, value=5534","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=5534, right_input=2202, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5534","layer":3},{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-22326","layer":3},{"info":"compute binary expreesion, left_input=5534, right_input=-22326, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1124","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=1015, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=382515364, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫓⪴(⫖↰⪸975⩅⪻⪻)≎⪠(⫖↰⪸101B⪎↠⫖↰⪸B53))⋥⋵⩄((⫖↰⪸3252∪⫐⫖↰⪸1336)↡⊰⫅(↩⪖⫖↰⪸1A48)⋻⩜⩜(⪛⨧(⫖↰⪸798⊍⩺⋍⫖↰⪸707)))=NaN","reverse_text":"NaN=(⫓⪴(⫖↰⪸975⩅⪻⪻)≎⪠(⫖↰⪸101B⪎↠⫖↰⪸B53))⋥⋵⩄((⫖↰⪸3252∪⫐⫖↰⪸1336)↡⊰⫅(↩⪖⫖↰⪸1A48)⋻⩜⩜(⪛⨧(⫖↰⪸798⊍⩺⋍⫖↰⪸707)))","cot":[{"info":"⫖↰⪸975⩅⪻⪻=⫖↰⪸-9A359","layer":3},{"info":"⫖↰⪸101B⪎↠⫖↰⪸B53=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-9A359≎⪠⫖↰⪸114=⫖↰⪸B39A","layer":2},{"info":"⫓⪴⫖↰⪸B39A=⫖↰⪸A812B084","layer":1},{"info":"⫖↰⪸3252∪⫐⫖↰⪸1336=⫖↰⪸3252","layer":3},{"info":"↩⪖⫖↰⪸1A48=⫖↰⪸-10B06","layer":3},{"info":"⫖↰⪸3252↡⊰⫅⫖↰⪸-10B06=NaN","layer":2},{"info":"⫖↰⪸798⊍⩺⋍⫖↰⪸707=NaN","layer":3},{"info":"⪛⨧NaN=NaN","layer":2},{"info":"NaN⋻⩜⩜NaN=NaN","layer":1},{"info":"⫖↰⪸A812B084⋥⋵⩄NaN=NaN","layer":0}]}
{"id":934,"expression_no_base_symbol":"(⊙↵-($3513$⨻⩈⩔$2087$)⪢(⨭⩧⫛$6185$))∴(($1031$⋹)⊕∕($1015$∥⊢⊲$2064$)⨑≵⋬($4650$∽$2786$)⪉⨛$3075$⩚⊴⇥$1386$)","expression":"(⊙↵-(⫖↰⪸2049⨻⩈⩔⫖↰⪸125B)⪢(⨭⩧⫛⫖↰⪸36B5))∴((⫖↰⪸71B⋹)⊕∕(⫖↰⪸707∥⊢⊲⫖↰⪸1240)⨑≵⋬(⫖↰⪸2836∽⫖↰⪸1742)⪉⨛⫖↰⪸1943⩚⊴⇥⫖↰⪸976)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":405,"operation_count":12,"complexity_ratio":33.75,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3513,"base":12},"right_expr":{"type":"numeric_atoms","value":2087,"base":12}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":6185,"base":12}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1031,"base":12}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1015,"base":12},"right_expr":{"type":"numeric_atoms","value":2064,"base":12}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4650,"base":12},"right_expr":{"type":"numeric_atoms","value":2786,"base":12}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3075,"base":12},"right_expr":{"type":"numeric_atoms","value":1386,"base":12}}}}},"used_operators":["hrf7POJlIJ","oWn0xqSxBt","dWAJyo7jo9","nEsXyWgiOK","g21JL6JxX7","XnXgA4xnOs","9cloC0Ngie","opAxDRczMr","v1UQAVDJRr","EWw2JM7wp4","y4ImoPnbV5","NTOWxs364D"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3513","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=2087, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=19703","layer":3},{"info":"number node, value=6185","layer":4},{"info":"compute unary expreesion, input=6185, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19703, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2064, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-20","layer":2},{"info":"number node, value=4650","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=4650, right_input=2786, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-31430","layer":3},{"info":"number node, value=3075","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=1386, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4582","layer":3},{"info":"compute binary expreesion, left_input=-31430, right_input=-4582, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-80329","layer":2},{"info":"compute binary expreesion, left_input=-20, right_input=-80329, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=725272","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=725272, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊙↵-(⫖↰⪸2049⨻⩈⩔⫖↰⪸125B)⪢(⨭⩧⫛⫖↰⪸36B5))∴((⫖↰⪸71B⋹)⊕∕(⫖↰⪸707∥⊢⊲⫖↰⪸1240)⨑≵⋬(⫖↰⪸2836∽⫖↰⪸1742)⪉⨛⫖↰⪸1943⩚⊴⇥⫖↰⪸976)=NaN","reverse_text":"NaN=(⊙↵-(⫖↰⪸2049⨻⩈⩔⫖↰⪸125B)⪢(⨭⩧⫛⫖↰⪸36B5))∴((⫖↰⪸71B⋹)⊕∕(⫖↰⪸707∥⊢⊲⫖↰⪸1240)⨑≵⋬(⫖↰⪸2836∽⫖↰⪸1742)⪉⨛⫖↰⪸1943⩚⊴⇥⫖↰⪸976)","cot":[{"info":"⫖↰⪸2049⨻⩈⩔⫖↰⪸125B=⫖↰⪸B49B","layer":3},{"info":"⨭⩧⫛⫖↰⪸36B5=NaN","layer":3},{"info":"⫖↰⪸B49B⪢NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⫖↰⪸71B⋹=⫖↰⪸-18","layer":3},{"info":"⫖↰⪸707∥⊢⊲⫖↰⪸1240=NaN","layer":3},{"info":"⫖↰⪸-18⊕∕NaN=⫖↰⪸-18","layer":2},{"info":"⫖↰⪸2836∽⫖↰⪸1742=⫖↰⪸-16232","layer":3},{"info":"⫖↰⪸1943⩚⊴⇥⫖↰⪸976=⫖↰⪸-279A","layer":3},{"info":"⫖↰⪸-16232⪉⨛⫖↰⪸-279A=⫖↰⪸-3A5A1","layer":2},{"info":"⫖↰⪸-18⨑≵⋬⫖↰⪸-3A5A1=⫖↰⪸2AB874","layer":1},{"info":"NaN∴⫖↰⪸2AB874=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"((⊆⋠$3338$)⇮⋭($7952$⫑)⇼⇔∾(⇜$1054$)⫒⫫$5609$↹⊜$3514$)⇴($1216$⨜⨶$2008$⨝⩣∺)⫣⪄⊒(($4977$⇣⩺⋵$2756$)⩘(⪫⨮⊛$2722$))","expression":"((⊆⋠⫖↰⪸1B22)⇮⋭(⫖↰⪸4728⫑)⇼⇔∾(⇜⫖↰⪸73A)⫒⫫⫖↰⪸32B5↹⊜⫖↰⪸204A)⇴(⫖↰⪸854⨜⨶⫖↰⪸11B4⨝⩣∺)⫣⪄⊒((⫖↰⪸2A69⇣⩺⋵⫖↰⪸1718)⩘(⪫⨮⊛⫖↰⪸16AA))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1642005,"operation_count":14,"complexity_ratio":117286.07142857143,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3338,"base":12}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":7952,"base":12}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1054,"base":12}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5609,"base":12},"right_expr":{"type":"numeric_atoms","value":3514,"base":12}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1216,"base":12},"right_expr":{"type":"numeric_atoms","value":2008,"base":12}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4977,"base":12},"right_expr":{"type":"numeric_atoms","value":2756,"base":12}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2722,"base":12}}}}},"used_operators":["4JB6nKBMSY","tifHPKVTfV","vkpjKywKVM","EBhcHTkKd8","CgIo77xlM2","6Ko8hGgeMq","lFBm8KRb8F","9bazX3JMtO","RabNbG55vr","ancx8kZcWl","HiPekx5b7W","cHh1gJQ2o6","F4yD0voBRQ","w5FWba1tyO"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DZ8iAZOCBD","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⫖↰⪸1276B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3338","layer":4},{"info":"compute unary expreesion, input=3338, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=7952","layer":4},{"info":"compute unary expreesion, input=7952, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8840","layer":3},{"info":"number node, value=5609","layer":4},{"info":"number node, value=3514","layer":4},{"info":"compute binary expreesion, left_input=5609, right_input=3514, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2934","layer":3},{"info":"compute binary expreesion, left_input=-8840, right_input=-2934, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=50104","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=50104, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=50577","layer":1},{"info":"number node, value=1216","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=2008, 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=-3760","layer":3},{"info":"compute unary expreesion, input=-3760, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3760","layer":2},{"info":"number node, value=4977","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=4977, right_input=2756, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2722","layer":4},{"info":"compute unary expreesion, input=2722, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-3760, right_input=160, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=50577, right_input=160, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=303396","layer":0}],"base":12,"result_base":12,"text":"((⊆⋠⫖↰⪸1B22)⇮⋭(⫖↰⪸4728⫑)⇼⇔∾(⇜⫖↰⪸73A)⫒⫫⫖↰⪸32B5↹⊜⫖↰⪸204A)⇴(⫖↰⪸854⨜⨶⫖↰⪸11B4⨝⩣∺)⫣⪄⊒((⫖↰⪸2A69⇣⩺⋵⫖↰⪸1718)⩘(⪫⨮⊛⫖↰⪸16AA))=⫖↰⪸1276B0","reverse_text":"⫖↰⪸1276B0=((⊆⋠⫖↰⪸1B22)⇮⋭(⫖↰⪸4728⫑)⇼⇔∾(⇜⫖↰⪸73A)⫒⫫⫖↰⪸32B5↹⊜⫖↰⪸204A)⇴(⫖↰⪸854⨜⨶⫖↰⪸11B4⨝⩣∺)⫣⪄⊒((⫖↰⪸2A69⇣⩺⋵⫖↰⪸1718)⩘(⪫⨮⊛⫖↰⪸16AA))","cot":[{"info":"⊆⋠⫖↰⪸1B22=⫖↰⪸0","layer":3},{"info":"⫖↰⪸4728⫑=⫖↰⪸2377","layer":3},{"info":"⫖↰⪸0⇮⋭⫖↰⪸2377=⫖↰⪸-335","layer":2},{"info":"⇜⫖↰⪸73A=⫖↰⪸-5148","layer":3},{"info":"⫖↰⪸32B5↹⊜⫖↰⪸204A=⫖↰⪸-1846","layer":3},{"info":"⫖↰⪸-5148⫒⫫⫖↰⪸-1846=⫖↰⪸24BB4","layer":2},{"info":"⫖↰⪸-335⇼⇔∾⫖↰⪸24BB4=⫖↰⪸25329","layer":1},{"info":"⫖↰⪸854⨜⨶⫖↰⪸11B4=⫖↰⪸-2214","layer":3},{"info":"⫖↰⪸-2214⨝⩣∺=⫖↰⪸-2214","layer":2},{"info":"⫖↰⪸2A69⇣⩺⋵⫖↰⪸1718=⫖↰⪸-198","layer":3},{"info":"⪫⨮⊛⫖↰⪸16AA=NaN","layer":3},{"info":"⫖↰⪸-198⩘NaN=⫖↰⪸114","layer":2},{"info":"⫖↰⪸-2214⫣⪄⊒⫖↰⪸114=⫖↰⪸114","layer":1},{"info":"⫖↰⪸25329⇴⫖↰⪸114=⫖↰⪸1276B0","layer":0}]}
{"id":936,"expression_no_base_symbol":"⋃((($1012$⇔⨋)⫚↹⊑(⪫⨮⊛$4246$))∷)","expression":"⋃(((⫖↰⪸704⇔⨋)⫚↹⊑(⪫⨮⊛⫖↰⪸255A))∷)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2567056,"operation_count":5,"complexity_ratio":513411.2,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1012,"base":12}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":4246,"base":12}}}}},"used_operators":["3mBM5G4a3l","nFAOW8KTqp","dfKe02y8D2","uBihLCJcMX","w5FWba1tyO"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⫖↰⪸-15B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=5002","layer":3},{"info":"number node, value=4246","layer":4},{"info":"compute unary expreesion, input=4246, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5002, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-1341","layer":1},{"info":"compute unary expreesion, input=-1341, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-2580","layer":0}],"base":12,"result_base":12,"text":"⋃(((⫖↰⪸704⇔⨋)⫚↹⊑(⪫⨮⊛⫖↰⪸255A))∷)=⫖↰⪸-15B0","reverse_text":"⫖↰⪸-15B0=⋃(((⫖↰⪸704⇔⨋)⫚↹⊑(⪫⨮⊛⫖↰⪸255A))∷)","cot":[{"info":"⫖↰⪸704⇔⨋=⫖↰⪸2A8A","layer":3},{"info":"⪫⨮⊛⫖↰⪸255A=NaN","layer":3},{"info":"⫖↰⪸2A8A⫚↹⊑NaN=⫖↰⪸-313","layer":2},{"info":"⫖↰⪸-313∷=⫖↰⪸-939","layer":1},{"info":"⋃⫖↰⪸-939=⫖↰⪸-15B0","layer":0}]}
{"id":937,"expression_no_base_symbol":"(($1636$↡⊰⫅$1972$)⨸(∥⊫$3551$)⩘(($2330$≒∊$3102$)⊔($2478$⨵⪆$3459$)))∺≝⩲(⨮↦↱($3168$%$1817$)⊕∕($5306$⪛⫼$3298$))","expression":"((⫖↰⪸B44↡⊰⫅⫖↰⪸1184)⨸(∥⊫⫖↰⪸207B)⩘((⫖↰⪸1422≒∊⫖↰⪸1966)⊔(⫖↰⪸1526⨵⪆⫖↰⪸2003)))∺≝⩲(⨮↦↱(⫖↰⪸1A00%⫖↰⪸1075)⊕∕(⫖↰⪸30A2⪛⫼⫖↰⪸1AAA))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32903,"operation_count":12,"complexity_ratio":2741.9166666666665,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1636,"base":12},"right_expr":{"type":"numeric_atoms","value":1972,"base":12}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3551,"base":12}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2330,"base":12},"right_expr":{"type":"numeric_atoms","value":3102,"base":12}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2478,"base":12},"right_expr":{"type":"numeric_atoms","value":3459,"base":12}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3168,"base":12},"right_expr":{"type":"numeric_atoms","value":1817,"base":12}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5306,"base":12},"right_expr":{"type":"numeric_atoms","value":3298,"base":12}}}}},"used_operators":["KPf6cnQVty","cHh1gJQ2o6","KmoU8R5UQR","VCtxkLNOzz","P8v4zCKN1o","E4l6HwMY31","5KTvxBwnZo","2DQ55sFlQl","sYcpBQ0cFf","9cloC0Ngie","k8jYdgA6NY","hyuBjUqXlG"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1636","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=1972, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3944","layer":3},{"info":"number node, value=3551","layer":4},{"info":"compute unary expreesion, input=3551, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4419","layer":3},{"info":"compute binary expreesion, left_input=3944, right_input=4419, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7888","layer":2},{"info":"number node, value=2330","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=3102, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1846","layer":3},{"info":"number node, value=2478","layer":4},{"info":"number node, value=3459","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=3459, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1846, right_input=160, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=6154","layer":2},{"info":"compute binary expreesion, left_input=7888, right_input=6154, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=3168","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=3168, right_input=1817, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1351","layer":3},{"info":"number node, value=5306","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=3298, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=1351, right_input=968, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1351","layer":2},{"info":"compute unary expreesion, input=1351, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2198799","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-2198799, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸B44↡⊰⫅⫖↰⪸1184)⨸(∥⊫⫖↰⪸207B)⩘((⫖↰⪸1422≒∊⫖↰⪸1966)⊔(⫖↰⪸1526⨵⪆⫖↰⪸2003)))∺≝⩲(⨮↦↱(⫖↰⪸1A00%⫖↰⪸1075)⊕∕(⫖↰⪸30A2⪛⫼⫖↰⪸1AAA))=⫖↰⪸114","reverse_text":"⫖↰⪸114=((⫖↰⪸B44↡⊰⫅⫖↰⪸1184)⨸(∥⊫⫖↰⪸207B)⩘((⫖↰⪸1422≒∊⫖↰⪸1966)⊔(⫖↰⪸1526⨵⪆⫖↰⪸2003)))∺≝⩲(⨮↦↱(⫖↰⪸1A00%⫖↰⪸1075)⊕∕(⫖↰⪸30A2⪛⫼⫖↰⪸1AAA))","cot":[{"info":"⫖↰⪸B44↡⊰⫅⫖↰⪸1184=⫖↰⪸2348","layer":3},{"info":"∥⊫⫖↰⪸207B=⫖↰⪸2683","layer":3},{"info":"⫖↰⪸2348⨸⫖↰⪸2683=⫖↰⪸4694","layer":2},{"info":"⫖↰⪸1422≒∊⫖↰⪸1966=⫖↰⪸-109A","layer":3},{"info":"⫖↰⪸1526⨵⪆⫖↰⪸2003=⫖↰⪸114","layer":3},{"info":"⫖↰⪸-109A⊔⫖↰⪸114=⫖↰⪸368A","layer":2},{"info":"⫖↰⪸4694⩘⫖↰⪸368A=⫖↰⪸114","layer":1},{"info":"⫖↰⪸1A00%⫖↰⪸1075=⫖↰⪸947","layer":3},{"info":"⫖↰⪸30A2⪛⫼⫖↰⪸1AAA=⫖↰⪸688","layer":3},{"info":"⫖↰⪸947⊕∕⫖↰⪸688=⫖↰⪸947","layer":2},{"info":"⨮↦↱⫖↰⪸947=⫖↰⪸-8A0553","layer":1},{"info":"⫖↰⪸114∺≝⩲⫖↰⪸-8A0553=⫖↰⪸114","layer":0}]}
{"id":938,"expression_no_base_symbol":"⇖⫷⫕(≋(($1061$⩹$1822$)↛⩡⫤))","expression":"⇖⫷⫕(≋((⫖↰⪸745⩹⫖↰⪸107A)↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11611,"operation_count":4,"complexity_ratio":2902.75,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1061,"base":12},"right_expr":{"type":"numeric_atoms","value":1822,"base":12}}}}},"used_operators":["UHmRx3INFg","61wBmkZwlr","FU0Cs4j7VP","2Wsdkap16l"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","7j4O788W3g","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"⫖↰⪸1772","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1822, 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=1820","layer":3},{"info":"compute unary expreesion, input=1820, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-270909","layer":2},{"info":"compute unary expreesion, input=-270909, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-270909","layer":1},{"info":"compute unary expreesion, input=-270909, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":12,"result_base":12,"text":"⇖⫷⫕(≋((⫖↰⪸745⩹⫖↰⪸107A)↛⩡⫤))=⫖↰⪸1772","reverse_text":"⫖↰⪸1772=⇖⫷⫕(≋((⫖↰⪸745⩹⫖↰⪸107A)↛⩡⫤))","cot":[{"info":"⫖↰⪸745⩹⫖↰⪸107A=⫖↰⪸1078","layer":3},{"info":"⫖↰⪸1078↛⩡⫤=⫖↰⪸-110939","layer":2},{"info":"≋⫖↰⪸-110939=⫖↰⪸-110939","layer":1},{"info":"⇖⫷⫕⫖↰⪸-110939=⫖↰⪸1772","layer":0}]}
{"id":939,"expression_no_base_symbol":"↨⩢⫨(⊆⋠(($1938$⪨≂$2135$)⇞))","expression":"↨⩢⫨(⊆⋠((⫖↰⪸1156⪨≂⫖↰⪸129B)⇞))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":171,"operation_count":4,"complexity_ratio":42.75,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1938,"base":12},"right_expr":{"type":"numeric_atoms","value":2135,"base":12}}}}},"used_operators":["Z5CJsN7DuW","EBhcHTkKd8","5JYyxRJd4f","sdazOOVcIp"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=2135, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-292","layer":3},{"info":"compute unary expreesion, input=-292, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute unary expreesion, input=-537, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=-48241","layer":1},{"info":"compute unary expreesion, input=-48241, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":12,"result_base":12,"text":"↨⩢⫨(⊆⋠((⫖↰⪸1156⪨≂⫖↰⪸129B)⇞))=⫖↰⪸0","reverse_text":"⫖↰⪸0=↨⩢⫨(⊆⋠((⫖↰⪸1156⪨≂⫖↰⪸129B)⇞))","cot":[{"info":"⫖↰⪸1156⪨≂⫖↰⪸129B=⫖↰⪸-204","layer":3},{"info":"⫖↰⪸-204⇞=⫖↰⪸-389","layer":2},{"info":"⊆⋠⫖↰⪸-389=⫖↰⪸-23B01","layer":1},{"info":"↨⩢⫨⫖↰⪸-23B01=⫖↰⪸0","layer":0}]}
{"id":940,"expression_no_base_symbol":"((⊗($1255$⨔≚≋$4572$))↡⊰⫅($3158$⨻⩈⩔$1010$↬⩅∪))⪛⫼($1217$∀⇚≩$2380$)⊔(∤$1193$)⪡($3586$∴$2322$)⨑⩅≇($2307$⪉⨛$1895$)","expression":"((⊗(⫖↰⪸887⨔≚≋⫖↰⪸2790))↡⊰⫅(⫖↰⪸19B2⨻⩈⩔⫖↰⪸702↬⩅∪))⪛⫼(⫖↰⪸855∀⇚≩⫖↰⪸1464)⊔(∤⫖↰⪸835)⪡(⫖↰⪸20AA∴⫖↰⪸1416)⨑⩅≇(⫖↰⪸1403⪉⨛⫖↰⪸111B)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":722385,"operation_count":13,"complexity_ratio":55568.07692307692,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1255,"base":12},"right_expr":{"type":"numeric_atoms","value":4572,"base":12}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3158,"base":12},"right_expr":{"type":"numeric_atoms","value":1010,"base":12}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1217,"base":12},"right_expr":{"type":"numeric_atoms","value":2380,"base":12}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1193,"base":12}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3586,"base":12},"right_expr":{"type":"numeric_atoms","value":2322,"base":12}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2307,"base":12},"right_expr":{"type":"numeric_atoms","value":1895,"base":12}}}}},"used_operators":["hyuBjUqXlG","VCtxkLNOzz","RhiyfpczSx","Z57zeUYC9z","VJ330n2nnx","nEsXyWgiOK","oraRL2iQuh","E4l6HwMY31","LRNGc0VcxI","k2HlF1dBQh","h92wMvzauj","hrf7POJlIJ","EWw2JM7wp4"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"number node, value=4572","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=4572, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-19744","layer":2},{"info":"number node, value=3158","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=3158, right_input=1010, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=16863","layer":3},{"info":"compute unary expreesion, input=16863, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-50589","layer":2},{"info":"compute binary expreesion, left_input=-19744, right_input=-50589, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=1217","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=2380, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=3586","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=3586, right_input=2322, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8820","layer":3},{"info":"number node, value=2307","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=2307, right_input=1895, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5241","layer":3},{"info":"compute binary expreesion, left_input=8820, right_input=5241, 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=-26460","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26460, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":12,"result_base":12,"text":"((⊗(⫖↰⪸887⨔≚≋⫖↰⪸2790))↡⊰⫅(⫖↰⪸19B2⨻⩈⩔⫖↰⪸702↬⩅∪))⪛⫼(⫖↰⪸855∀⇚≩⫖↰⪸1464)⊔(∤⫖↰⪸835)⪡(⫖↰⪸20AA∴⫖↰⪸1416)⨑⩅≇(⫖↰⪸1403⪉⨛⫖↰⪸111B)=NaN","reverse_text":"NaN=((⊗(⫖↰⪸887⨔≚≋⫖↰⪸2790))↡⊰⫅(⫖↰⪸19B2⨻⩈⩔⫖↰⪸702↬⩅∪))⪛⫼(⫖↰⪸855∀⇚≩⫖↰⪸1464)⊔(∤⫖↰⪸835)⪡(⫖↰⪸20AA∴⫖↰⪸1416)⨑⩅≇(⫖↰⪸1403⪉⨛⫖↰⪸111B)","cot":[{"info":"⫖↰⪸887⨔≚≋⫖↰⪸2790=⫖↰⪸5868","layer":3},{"info":"⊗⫖↰⪸5868=⫖↰⪸-B514","layer":2},{"info":"⫖↰⪸19B2⨻⩈⩔⫖↰⪸702=⫖↰⪸9913","layer":3},{"info":"⫖↰⪸9913↬⩅∪=⫖↰⪸-25339","layer":2},{"info":"⫖↰⪸-B514↡⊰⫅⫖↰⪸-25339=NaN","layer":1},{"info":"⫖↰⪸855∀⇚≩⫖↰⪸1464=NaN","layer":3},{"info":"∤⫖↰⪸835=⫖↰⪸9","layer":3},{"info":"NaN⊔⫖↰⪸9=NaN","layer":2},{"info":"⫖↰⪸20AA∴⫖↰⪸1416=⫖↰⪸5130","layer":3},{"info":"⫖↰⪸1403⪉⨛⫖↰⪸111B=⫖↰⪸3049","layer":3},{"info":"⫖↰⪸5130⨑⩅≇⫖↰⪸3049=⫖↰⪸-13390","layer":2},{"info":"NaN⪡⫖↰⪸-13390=NaN","layer":1},{"info":"NaN⪛⫼NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"(⩏⊷≩($7878$⊋≦⊧$2394$)≴⪞⇿($1130$⇍⊗$1579$))⋻⩜⩜(($3074$⫩⊇)⪨≂$3840$⊢$1689$)⨻⩈⩔(($1974$≫≃)⫳≱↱$4273$⇻⋧≁$2851$)","expression":"(⩏⊷≩(⫖↰⪸4686⊋≦⊧⫖↰⪸1476)≴⪞⇿(⫖↰⪸7A2⇍⊗⫖↰⪸AB7))⋻⩜⩜((⫖↰⪸1942⫩⊇)⪨≂⫖↰⪸2280⊢⫖↰⪸B89)⨻⩈⩔((⫖↰⪸1186≫≃)⫳≱↱⫖↰⪸2581⇻⋧≁⫖↰⪸1797)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":994474,"operation_count":12,"complexity_ratio":82872.83333333333,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7878,"base":12},"right_expr":{"type":"numeric_atoms","value":2394,"base":12}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1130,"base":12},"right_expr":{"type":"numeric_atoms","value":1579,"base":12}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3074,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3840,"base":12},"right_expr":{"type":"numeric_atoms","value":1689,"base":12}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1974,"base":12}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4273,"base":12},"right_expr":{"type":"numeric_atoms","value":2851,"base":12}}}}},"used_operators":["oDCm7WA9JY","uOZ1tnYMDE","lvlrscuwVU","oRDoc9rAEX","5uvYHDjeKN","nEsXyWgiOK","sdazOOVcIp","BjRHVeLaeN","5twsqlHp2o","ZvLB05nZmT","X99M06cbEe","jCPkEVoL5K"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","23Mk6UjR3U","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⫖↰⪸241484","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=7878","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=7878, right_input=2394, 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=-4548","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1579, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-4548, right_input=-244, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-72723","layer":2},{"info":"compute unary expreesion, input=-72723, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=291506","layer":1},{"info":"number node, value=3074","layer":4},{"info":"compute unary expreesion, input=3074, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3032","layer":3},{"info":"number node, value=3840","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=3840, right_input=1689, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7924","layer":3},{"info":"compute binary expreesion, left_input=-3032, right_input=-7924, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9886","layer":2},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5349","layer":3},{"info":"number node, value=4273","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=4273, right_input=2851, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=5349, right_input=-447, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=9886, right_input=-204, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=70687","layer":1},{"info":"compute binary expreesion, left_input=291506, right_input=70687, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=583012","layer":0}],"base":12,"result_base":12,"text":"(⩏⊷≩(⫖↰⪸4686⊋≦⊧⫖↰⪸1476)≴⪞⇿(⫖↰⪸7A2⇍⊗⫖↰⪸AB7))⋻⩜⩜((⫖↰⪸1942⫩⊇)⪨≂⫖↰⪸2280⊢⫖↰⪸B89)⨻⩈⩔((⫖↰⪸1186≫≃)⫳≱↱⫖↰⪸2581⇻⋧≁⫖↰⪸1797)=⫖↰⪸241484","reverse_text":"⫖↰⪸241484=(⩏⊷≩(⫖↰⪸4686⊋≦⊧⫖↰⪸1476)≴⪞⇿(⫖↰⪸7A2⇍⊗⫖↰⪸AB7))⋻⩜⩜((⫖↰⪸1942⫩⊇)⪨≂⫖↰⪸2280⊢⫖↰⪸B89)⨻⩈⩔((⫖↰⪸1186≫≃)⫳≱↱⫖↰⪸2581⇻⋧≁⫖↰⪸1797)","cot":[{"info":"⫖↰⪸4686⊋≦⊧⫖↰⪸1476=⫖↰⪸-2770","layer":3},{"info":"⫖↰⪸7A2⇍⊗⫖↰⪸AB7=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸-2770≴⪞⇿⫖↰⪸-184=⫖↰⪸-36103","layer":2},{"info":"⩏⊷≩⫖↰⪸-36103=⫖↰⪸120842","layer":1},{"info":"⫖↰⪸1942⫩⊇=⫖↰⪸-1908","layer":3},{"info":"⫖↰⪸2280⊢⫖↰⪸B89=⫖↰⪸-4704","layer":3},{"info":"⫖↰⪸-1908⪨≂⫖↰⪸-4704=⫖↰⪸587A","layer":2},{"info":"⫖↰⪸1186≫≃=⫖↰⪸3119","layer":3},{"info":"⫖↰⪸2581⇻⋧≁⫖↰⪸1797=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸3119⫳≱↱⫖↰⪸-313=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸587A⨻⩈⩔⫖↰⪸-150=⫖↰⪸34AA7","layer":1},{"info":"⫖↰⪸120842⋻⩜⩜⫖↰⪸34AA7=⫖↰⪸241484","layer":0}]}
{"id":942,"expression_no_base_symbol":"((≀↧⇸($1584$⫦⪉$2118$))⪍↜⋙(($6187$⩺⋐⫨)≀⩗∶$3380$⪕$5161$))∳⫺(($4860$⩍⋽⫝̸$1827$)↳≱($2336$⫡⨏$4409$)⩧⪆(⇐$4049$⇻⋧≁$2858$))","expression":"((≀↧⇸(⫖↰⪸B00⫦⪉⫖↰⪸1286))⪍↜⋙((⫖↰⪸36B7⩺⋐⫨)≀⩗∶⫖↰⪸1B58⪕⫖↰⪸2BA1))∳⫺((⫖↰⪸2990⩍⋽⫝̸⫖↰⪸1083)↳≱(⫖↰⪸1428⫡⨏⫖↰⪸2675)⩧⪆(⇐⫖↰⪸2415⇻⋧≁⫖↰⪸17A2))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4907,"operation_count":13,"complexity_ratio":377.46153846153845,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1584,"base":12},"right_expr":{"type":"numeric_atoms","value":2118,"base":12}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":6187,"base":12}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3380,"base":12},"right_expr":{"type":"numeric_atoms","value":5161,"base":12}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4860,"base":12},"right_expr":{"type":"numeric_atoms","value":1827,"base":12}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2336,"base":12},"right_expr":{"type":"numeric_atoms","value":4409,"base":12}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4049,"base":12},"right_expr":{"type":"numeric_atoms","value":2858,"base":12}}}}},"used_operators":["AzXXKTstlj","L05ObWFQCd","ljTHtUsqzn","wscyQdcy20","8INZBEW696","yS9ePUuUdn","umQnsF7QlU","Ikt5ks8PT7","JwTKLfZU96","BiWNJpBvwn","QMFrweE19q","nmZMaaE0Q9","jCPkEVoL5K"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eewbuw0ToL","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⫖↰⪸-198","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=2118, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1732","layer":3},{"info":"compute unary expreesion, input=1732, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3464","layer":2},{"info":"number node, value=6187","layer":4},{"info":"compute unary expreesion, input=6187, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=3380","layer":4},{"info":"number node, value=5161","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=5161, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2500","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2500, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3464, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"number node, value=4860","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=4860, right_input=1827, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=881","layer":3},{"info":"number node, value=2336","layer":4},{"info":"number node, value=4409","layer":4},{"info":"compute binary expreesion, left_input=2336, right_input=4409, 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=21281","layer":3},{"info":"compute binary expreesion, left_input=881, right_input=21281, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=4049","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=2858, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1360","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1360, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=1360","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1360, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":12,"result_base":12,"text":"((≀↧⇸(⫖↰⪸B00⫦⪉⫖↰⪸1286))⪍↜⋙((⫖↰⪸36B7⩺⋐⫨)≀⩗∶⫖↰⪸1B58⪕⫖↰⪸2BA1))∳⫺((⫖↰⪸2990⩍⋽⫝̸⫖↰⪸1083)↳≱(⫖↰⪸1428⫡⨏⫖↰⪸2675)⩧⪆(⇐⫖↰⪸2415⇻⋧≁⫖↰⪸17A2))=⫖↰⪸-198","reverse_text":"⫖↰⪸-198=((≀↧⇸(⫖↰⪸B00⫦⪉⫖↰⪸1286))⪍↜⋙((⫖↰⪸36B7⩺⋐⫨)≀⩗∶⫖↰⪸1B58⪕⫖↰⪸2BA1))∳⫺((⫖↰⪸2990⩍⋽⫝̸⫖↰⪸1083)↳≱(⫖↰⪸1428⫡⨏⫖↰⪸2675)⩧⪆(⇐⫖↰⪸2415⇻⋧≁⫖↰⪸17A2))","cot":[{"info":"⫖↰⪸B00⫦⪉⫖↰⪸1286=⫖↰⪸1004","layer":3},{"info":"≀↧⇸⫖↰⪸1004=⫖↰⪸2008","layer":2},{"info":"⫖↰⪸36B7⩺⋐⫨=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1B58⪕⫖↰⪸2BA1=⫖↰⪸1544","layer":3},{"info":"⫖↰⪸0≀⩗∶⫖↰⪸1544=NaN","layer":2},{"info":"⫖↰⪸2008⪍↜⋙NaN=NaN","layer":1},{"info":"⫖↰⪸2990⩍⋽⫝̸⫖↰⪸1083=⫖↰⪸615","layer":3},{"info":"⫖↰⪸1428⫡⨏⫖↰⪸2675=⫖↰⪸10395","layer":3},{"info":"⫖↰⪸615↳≱⫖↰⪸10395=⫖↰⪸0","layer":2},{"info":"⫖↰⪸2415⇻⋧≁⫖↰⪸17A2=⫖↰⪸-313","layer":3},{"info":"⇐⫖↰⪸-313=⫖↰⪸-954","layer":2},{"info":"⫖↰⪸0⩧⪆⫖↰⪸-954=⫖↰⪸954","layer":1},{"info":"NaN∳⫺⫖↰⪸954=⫖↰⪸-198","layer":0}]}
{"id":943,"expression_no_base_symbol":"(→⩰(⇋⊎⋝(≯$3644$)))⇷(≀↧⇸(($2088$⋻⩜⩜$2660$)⪍↜⋙($2300$+⇶⊼$4243$)))","expression":"(→⩰(⇋⊎⋝(≯⫖↰⪸2138)))⇷(≀↧⇸((⫖↰⪸1260⋻⩜⩜⫖↰⪸1658)⪍↜⋙(⫖↰⪸13B8+⇶⊼⫖↰⪸2557)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1143181,"operation_count":8,"complexity_ratio":142897.625,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":3644,"base":12}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2088,"base":12},"right_expr":{"type":"numeric_atoms","value":2660,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2300,"base":12},"right_expr":{"type":"numeric_atoms","value":4243,"base":12}}}}},"used_operators":["mp7IySMOzn","o8Pngz0Tml","CzM2PEoXns","keWfFq85dY","ljTHtUsqzn","L05ObWFQCd","oDCm7WA9JY","TpPTUOHfaN"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","dWAJyo7jo9","g55IO6H4Gj","JLbD19bQDL","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3644","layer":4},{"info":"compute unary expreesion, input=3644, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=-78965","layer":1},{"info":"number node, value=2088","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=2660, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4176","layer":3},{"info":"number node, value=2300","layer":4},{"info":"number node, value=4243","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=4243, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4176, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-78965, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(→⩰(⇋⊎⋝(≯⫖↰⪸2138)))⇷(≀↧⇸((⫖↰⪸1260⋻⩜⩜⫖↰⪸1658)⪍↜⋙(⫖↰⪸13B8+⇶⊼⫖↰⪸2557)))=NaN","reverse_text":"NaN=(→⩰(⇋⊎⋝(≯⫖↰⪸2138)))⇷(≀↧⇸((⫖↰⪸1260⋻⩜⩜⫖↰⪸1658)⪍↜⋙(⫖↰⪸13B8+⇶⊼⫖↰⪸2557)))","cot":[{"info":"≯⫖↰⪸2138=⫖↰⪸0","layer":3},{"info":"⇋⊎⋝⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"→⩰⫖↰⪸0=⫖↰⪸-39845","layer":1},{"info":"⫖↰⪸1260⋻⩜⩜⫖↰⪸1658=⫖↰⪸2500","layer":3},{"info":"⫖↰⪸13B8+⇶⊼⫖↰⪸2557=NaN","layer":3},{"info":"⫖↰⪸2500⪍↜⋙NaN=NaN","layer":2},{"info":"≀↧⇸NaN=NaN","layer":1},{"info":"⫖↰⪸-39845⇷NaN=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"((⩷⨜⫀($3805$⋷$5698$))⪹)⨭⪣(∐⩳⋚((≉$1916$)⨼⩣(⇾⩊⇾$1659$)))","expression":"((⩷⨜⫀(⫖↰⪸2251⋷⫖↰⪸336A))⪹)⨭⪣(∐⩳⋚((≉⫖↰⪸1138)⨼⩣(⇾⩊⇾⫖↰⪸B63)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":64708,"operation_count":8,"complexity_ratio":8088.5,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3805,"base":12},"right_expr":{"type":"numeric_atoms","value":5698,"base":12}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1916,"base":12}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1659,"base":12}}}}},"used_operators":["kn8WO9XteQ","B3sABdIn96","CDi0ktkjQ4","23Mk6UjR3U","SL6IHkK8vl","JxwMv5le6e","e1ybzncUwg","bx9Z9DAK5y"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"⫖↰⪸-19","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3805","layer":4},{"info":"number node, value=5698","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=5698, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7591","layer":3},{"info":"compute unary expreesion, input=7591, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-7318","layer":2},{"info":"compute unary expreesion, input=-7318, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-9082","layer":1},{"info":"number node, value=1916","layer":4},{"info":"compute unary expreesion, input=1916, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2447","layer":3},{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-21417","layer":3},{"info":"compute binary expreesion, left_input=2447, right_input=-21417, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9082, 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":12,"result_base":12,"text":"((⩷⨜⫀(⫖↰⪸2251⋷⫖↰⪸336A))⪹)⨭⪣(∐⩳⋚((≉⫖↰⪸1138)⨼⩣(⇾⩊⇾⫖↰⪸B63)))=⫖↰⪸-19","reverse_text":"⫖↰⪸-19=((⩷⨜⫀(⫖↰⪸2251⋷⫖↰⪸336A))⪹)⨭⪣(∐⩳⋚((≉⫖↰⪸1138)⨼⩣(⇾⩊⇾⫖↰⪸B63)))","cot":[{"info":"⫖↰⪸2251⋷⫖↰⪸336A=⫖↰⪸4487","layer":3},{"info":"⩷⨜⫀⫖↰⪸4487=⫖↰⪸-429A","layer":2},{"info":"⫖↰⪸-429A⪹=⫖↰⪸-530A","layer":1},{"info":"≉⫖↰⪸1138=⫖↰⪸14BB","layer":3},{"info":"⇾⩊⇾⫖↰⪸B63=⫖↰⪸-10489","layer":3},{"info":"⫖↰⪸14BB⨼⩣⫖↰⪸-10489=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"⫖↰⪸-530A⨭⪣NaN=⫖↰⪸-19","layer":0}]}
{"id":945,"expression_no_base_symbol":"((($2662$⊾⪯⋞$1797$)⊎←↗)≬⋮($6450$∪⫐$1247$)⫁⪎($7734$⊾⪯⋞$6491$))⪛⫼(⊀($1653$≎⪠$1466$)⊮⊟↴($6489$⋓$1054$))","expression":"(((⫖↰⪸165A⊾⪯⋞⫖↰⪸1059)⊎←↗)≬⋮(⫖↰⪸3896∪⫐⫖↰⪸87B)⫁⪎(⫖↰⪸4586⊾⪯⋞⫖↰⪸390B))⪛⫼(⊀(⫖↰⪸B59≎⪠⫖↰⪸A22)⊮⊟↴(⫖↰⪸3909⋓⫖↰⪸73A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19439,"operation_count":11,"complexity_ratio":1767.1818181818182,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2662,"base":12},"right_expr":{"type":"numeric_atoms","value":1797,"base":12}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6450,"base":12},"right_expr":{"type":"numeric_atoms","value":1247,"base":12}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":7734,"base":12},"right_expr":{"type":"numeric_atoms","value":6491,"base":12}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1653,"base":12},"right_expr":{"type":"numeric_atoms","value":1466,"base":12}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6489,"base":12},"right_expr":{"type":"numeric_atoms","value":1054,"base":12}}}}},"used_operators":["hyuBjUqXlG","kbkesczE7y","dwb5p0fa6d","HK0tfVPux8","xRrnTEsQ6j","7YooWSwCyH","oPMjh9089D","QDVgd2eftb","aNhz54LH3e","T2fj7uvVaJ"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫖↰⪸-A11","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2662","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=2662, right_input=1797, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3168","layer":3},{"info":"compute unary expreesion, input=3168, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-5651","layer":2},{"info":"number node, value=6450","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=6450, right_input=1247, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6450","layer":3},{"info":"number node, value=7734","layer":4},{"info":"number node, value=6491","layer":4},{"info":"compute binary expreesion, left_input=7734, right_input=6491, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=12556","layer":3},{"info":"compute binary expreesion, left_input=6450, right_input=12556, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-6106","layer":2},{"info":"compute binary expreesion, left_input=-5651, right_input=-6106, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1653","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1466, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=6489","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=6489, right_input=1054, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-262","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-262, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1453","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸165A⊾⪯⋞⫖↰⪸1059)⊎←↗)≬⋮(⫖↰⪸3896∪⫐⫖↰⪸87B)⫁⪎(⫖↰⪸4586⊾⪯⋞⫖↰⪸390B))⪛⫼(⊀(⫖↰⪸B59≎⪠⫖↰⪸A22)⊮⊟↴(⫖↰⪸3909⋓⫖↰⪸73A))=⫖↰⪸-A11","reverse_text":"⫖↰⪸-A11=(((⫖↰⪸165A⊾⪯⋞⫖↰⪸1059)⊎←↗)≬⋮(⫖↰⪸3896∪⫐⫖↰⪸87B)⫁⪎(⫖↰⪸4586⊾⪯⋞⫖↰⪸390B))⪛⫼(⊀(⫖↰⪸B59≎⪠⫖↰⪸A22)⊮⊟↴(⫖↰⪸3909⋓⫖↰⪸73A))","cot":[{"info":"⫖↰⪸165A⊾⪯⋞⫖↰⪸1059=⫖↰⪸1A00","layer":3},{"info":"⫖↰⪸1A00⊎←↗=⫖↰⪸-332B","layer":2},{"info":"⫖↰⪸3896∪⫐⫖↰⪸87B=⫖↰⪸3896","layer":3},{"info":"⫖↰⪸4586⊾⪯⋞⫖↰⪸390B=⫖↰⪸7324","layer":3},{"info":"⫖↰⪸3896⫁⪎⫖↰⪸7324=⫖↰⪸-364A","layer":2},{"info":"⫖↰⪸-332B≬⋮⫖↰⪸-364A=⫖↰⪸604","layer":1},{"info":"⫖↰⪸B59≎⪠⫖↰⪸A22=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸3909⋓⫖↰⪸73A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸B39A⊮⊟↴⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⊀⫖↰⪸0=⫖↰⪸-19A","layer":1},{"info":"⫖↰⪸604⪛⫼⫖↰⪸-19A=⫖↰⪸-A11","layer":0}]}
{"id":946,"expression_no_base_symbol":"(⪹(⊽($1986$⪚$2057$)))⫢⨠(⊑(⇈$8927$)⊢(⨵≀≌$3043$))","expression":"(⪹(⊽(⫖↰⪸1196⪚⫖↰⪸1235)))⫢⨠(⊑(⇈⫖↰⪸51BB)⊢(⨵≀≌⫖↰⪸1917))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1545,"operation_count":8,"complexity_ratio":193.125,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1986,"base":12},"right_expr":{"type":"numeric_atoms","value":2057,"base":12}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":8927,"base":12}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3043,"base":12}}}}},"used_operators":["xlXykHWxX1","USyYr0JgAa","QxG7OkqoLX","HrjLwUk87U","IkUmn0D7oy","5twsqlHp2o","SLLxy00UIr","srAu1WTS94"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tifHPKVTfV","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫖↰⪸114","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1986","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=2057, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-498","layer":3},{"info":"compute unary expreesion, input=-498, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=180","layer":1},{"info":"number node, value=8927","layer":4},{"info":"compute unary expreesion, input=8927, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=3043","layer":4},{"info":"compute unary expreesion, input=3043, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9129","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-9129, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=650","layer":2},{"info":"compute unary expreesion, input=650, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=180, right_input=192, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":12,"result_base":12,"text":"(⪹(⊽(⫖↰⪸1196⪚⫖↰⪸1235)))⫢⨠(⊑(⇈⫖↰⪸51BB)⊢(⨵≀≌⫖↰⪸1917))=⫖↰⪸114","reverse_text":"⫖↰⪸114=(⪹(⊽(⫖↰⪸1196⪚⫖↰⪸1235)))⫢⨠(⊑(⇈⫖↰⪸51BB)⊢(⨵≀≌⫖↰⪸1917))","cot":[{"info":"⫖↰⪸1196⪚⫖↰⪸1235=⫖↰⪸-356","layer":3},{"info":"⊽⫖↰⪸-356=⫖↰⪸0","layer":2},{"info":"⪹⫖↰⪸0=⫖↰⪸130","layer":1},{"info":"⇈⫖↰⪸51BB=⫖↰⪸-313","layer":3},{"info":"⨵≀≌⫖↰⪸1917=⫖↰⪸-5349","layer":3},{"info":"⫖↰⪸-313⊢⫖↰⪸-5349=⫖↰⪸462","layer":2},{"info":"⊑⫖↰⪸462=⫖↰⪸140","layer":1},{"info":"⫖↰⪸130⫢⨠⫖↰⪸140=⫖↰⪸114","layer":0}]}
{"id":947,"expression_no_base_symbol":"⋗⩴⪓((⇙⪊($8123$⪪$1533$))⩚⊴⇥($1772$*$1286$)→⨶⪴($1818$⋅⇍$3645$))","expression":"⋗⩴⪓((⇙⪊(⫖↰⪸484B⪪⫖↰⪸A79))⩚⊴⇥(⫖↰⪸1038*⫖↰⪸8B2)→⨶⪴(⫖↰⪸1076⋅⇍⫖↰⪸2139))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25834,"operation_count":7,"complexity_ratio":3690.5714285714284,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":8123,"base":12},"right_expr":{"type":"numeric_atoms","value":1533,"base":12}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1772,"base":12},"right_expr":{"type":"numeric_atoms","value":1286,"base":12}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1818,"base":12},"right_expr":{"type":"numeric_atoms","value":3645,"base":12}}}}},"used_operators":["nOKPl9n5zu","NTOWxs364D","pB6Fcnrjim","xD69zh8xqp","bF6eod5Gvf","9HNa5Wba9A","AdZkA7nFnk"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","FU0Cs4j7VP","JclMnS0uGI","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⫖↰⪸6133954","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8123","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=8123, right_input=1533, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1222662","layer":3},{"info":"compute unary expreesion, input=-1222662, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=1772","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1286, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2278792","layer":3},{"info":"number node, value=1818","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=3645, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=2278792, right_input=-22, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=4557596","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4557596, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4557717","layer":1},{"info":"compute unary expreesion, input=-4557717, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=18233488","layer":0}],"base":12,"result_base":12,"text":"⋗⩴⪓((⇙⪊(⫖↰⪸484B⪪⫖↰⪸A79))⩚⊴⇥(⫖↰⪸1038*⫖↰⪸8B2)→⨶⪴(⫖↰⪸1076⋅⇍⫖↰⪸2139))=⫖↰⪸6133954","reverse_text":"⫖↰⪸6133954=⋗⩴⪓((⇙⪊(⫖↰⪸484B⪪⫖↰⪸A79))⩚⊴⇥(⫖↰⪸1038*⫖↰⪸8B2)→⨶⪴(⫖↰⪸1076⋅⇍⫖↰⪸2139))","cot":[{"info":"⫖↰⪸484B⪪⫖↰⪸A79=⫖↰⪸-4AB686","layer":3},{"info":"⇙⪊⫖↰⪸-4AB686=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1038*⫖↰⪸8B2=⫖↰⪸91A8B4","layer":3},{"info":"⫖↰⪸1076⋅⇍⫖↰⪸2139=⫖↰⪸-1A","layer":3},{"info":"⫖↰⪸91A8B4→⨶⪴⫖↰⪸-1A=⫖↰⪸16395B8","layer":2},{"info":"⫖↰⪸0⩚⊴⇥⫖↰⪸16395B8=⫖↰⪸-1639699","layer":1},{"info":"⋗⩴⪓⫖↰⪸-1639699=⫖↰⪸6133954","layer":0}]}
{"id":948,"expression_no_base_symbol":"(⇺⋃(⪨⨬(⪹$3592$)))⨀⨒","expression":"(⇺⋃(⪨⨬(⪹⫖↰⪸20B4)))⨀⨒","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":397004,"operation_count":4,"complexity_ratio":99251.0,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3592,"base":12}}}}},"used_operators":["j6NVkjMzuk","E5v5B3UAjG","5obUd6DV38","USyYr0JgAa"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","T2fj7uvVaJ","nlCqmYiOvY","tifHPKVTfV"],"result":"⫖↰⪸-1480","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3592","layer":4},{"info":"compute unary expreesion, input=3592, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3412","layer":3},{"info":"compute unary expreesion, input=-3412, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(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":12,"result_base":12,"text":"(⇺⋃(⪨⨬(⪹⫖↰⪸20B4)))⨀⨒=⫖↰⪸-1480","reverse_text":"⫖↰⪸-1480=(⇺⋃(⪨⨬(⪹⫖↰⪸20B4)))⨀⨒","cot":[{"info":"⪹⫖↰⪸20B4=⫖↰⪸-1B84","layer":3},{"info":"⪨⨬⫖↰⪸-1B84=⫖↰⪸-37A","layer":2},{"info":"⇺⋃⫖↰⪸-37A=⫖↰⪸0","layer":1},{"info":"⫖↰⪸0⨀⨒=⫖↰⪸-1480","layer":0}]}
{"id":949,"expression_no_base_symbol":"(($1130$≠≀$2463$⫌⩉⩟(⋃$2642$))∙∹∝$1488$⪥$3412$≀⩗∶$2961$≃$1996$)⩺⪪((⪫⨮⊛$3860$)⪛⫼$1783$⋝⋈⪟$2594$↺($3281$⪶≀⋏$4060$)⫉⨲⊜($2778$∙∹∝$4950$))","expression":"((⫖↰⪸7A2≠≀⫖↰⪸1513⫌⩉⩟(⋃⫖↰⪸1642))∙∹∝⫖↰⪸A40⪥⫖↰⪸1B84≀⩗∶⫖↰⪸1869≃⫖↰⪸11A4)⩺⪪((⪫⨮⊛⫖↰⪸2298)⪛⫼⫖↰⪸1047⋝⋈⪟⫖↰⪸1602↺(⫖↰⪸1A95⪶≀⋏⫖↰⪸2424)⫉⨲⊜(⫖↰⪸1736∙∹∝⫖↰⪸2A46))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2368638,"operation_count":15,"complexity_ratio":157909.2,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1130,"base":12},"right_expr":{"type":"numeric_atoms","value":2463,"base":12}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2642,"base":12}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1488,"base":12},"right_expr":{"type":"numeric_atoms","value":3412,"base":12}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2961,"base":12},"right_expr":{"type":"numeric_atoms","value":1996,"base":12}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":3860,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1783,"base":12},"right_expr":{"type":"numeric_atoms","value":2594,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3281,"base":12},"right_expr":{"type":"numeric_atoms","value":4060,"base":12}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2778,"base":12},"right_expr":{"type":"numeric_atoms","value":4950,"base":12}}}}},"used_operators":["uvdQJvN4PV","HmxsFra2vL","XIIwhv8d0m","IwW236VD4Y","3mBM5G4a3l","8INZBEW696","QbnwKVWMIQ","YbVcJGFEVW","7j4O788W3g","hyuBjUqXlG","w5FWba1tyO","2DDjHMKMc0","WhqkvtTD3t","zR4jO40bMj"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","g55IO6H4Gj","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⫖↰⪸-5622","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=2463, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1954","layer":3},{"info":"number node, value=2642","layer":4},{"info":"compute unary expreesion, input=2642, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=5386","layer":3},{"info":"compute binary expreesion, left_input=-1954, right_input=5386, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1488","layer":4},{"info":"number node, value=3412","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=3412, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10604","layer":3},{"info":"number node, value=2961","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=1996, 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=-11884","layer":3},{"info":"compute binary expreesion, left_input=10604, right_input=-11884, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=6","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=6, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=3860","layer":4},{"info":"compute unary expreesion, input=3860, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1783","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=2594, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1783","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1783, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=3281","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=4060, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18195","layer":3},{"info":"number node, value=2778","layer":4},{"info":"number node, value=4950","layer":4},{"info":"compute binary expreesion, left_input=2778, right_input=4950, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-18195, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-110, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-110","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-110, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-9530","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸7A2≠≀⫖↰⪸1513⫌⩉⩟(⋃⫖↰⪸1642))∙∹∝⫖↰⪸A40⪥⫖↰⪸1B84≀⩗∶⫖↰⪸1869≃⫖↰⪸11A4)⩺⪪((⪫⨮⊛⫖↰⪸2298)⪛⫼⫖↰⪸1047⋝⋈⪟⫖↰⪸1602↺(⫖↰⪸1A95⪶≀⋏⫖↰⪸2424)⫉⨲⊜(⫖↰⪸1736∙∹∝⫖↰⪸2A46))=⫖↰⪸-5622","reverse_text":"⫖↰⪸-5622=((⫖↰⪸7A2≠≀⫖↰⪸1513⫌⩉⩟(⋃⫖↰⪸1642))∙∹∝⫖↰⪸A40⪥⫖↰⪸1B84≀⩗∶⫖↰⪸1869≃⫖↰⪸11A4)⩺⪪((⪫⨮⊛⫖↰⪸2298)⪛⫼⫖↰⪸1047⋝⋈⪟⫖↰⪸1602↺(⫖↰⪸1A95⪶≀⋏⫖↰⪸2424)⫉⨲⊜(⫖↰⪸1736∙∹∝⫖↰⪸2A46))","cot":[{"info":"⫖↰⪸7A2≠≀⫖↰⪸1513=⫖↰⪸-116A","layer":3},{"info":"⋃⫖↰⪸1642=⫖↰⪸314A","layer":3},{"info":"⫖↰⪸-116A⫌⩉⩟⫖↰⪸314A=⫖↰⪸-42","layer":2},{"info":"⫖↰⪸A40⪥⫖↰⪸1B84=⫖↰⪸6178","layer":3},{"info":"⫖↰⪸1869≃⫖↰⪸11A4=⫖↰⪸-6A64","layer":3},{"info":"⫖↰⪸6178≀⩗∶⫖↰⪸-6A64=⫖↰⪸6","layer":2},{"info":"⫖↰⪸-42∙∹∝⫖↰⪸6=⫖↰⪸0","layer":1},{"info":"⪫⨮⊛⫖↰⪸2298=NaN","layer":3},{"info":"⫖↰⪸1047⋝⋈⪟⫖↰⪸1602=⫖↰⪸1047","layer":3},{"info":"NaN⪛⫼⫖↰⪸1047=⫖↰⪸688","layer":2},{"info":"⫖↰⪸1A95⪶≀⋏⫖↰⪸2424=⫖↰⪸-A643","layer":3},{"info":"⫖↰⪸1736∙∹∝⫖↰⪸2A46=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-A643⫉⨲⊜⫖↰⪸0=⫖↰⪸-92","layer":2},{"info":"⫖↰⪸688↺⫖↰⪸-92=⫖↰⪸-92","layer":1},{"info":"⫖↰⪸0⩺⪪⫖↰⪸-92=⫖↰⪸-5622","layer":0}]}
{"id":950,"expression_no_base_symbol":"(($2929$≦≮≮)+⇶⊼($1888$⊢)⩹(∜⨇($8189$⋕⪉⪜$2108$)))⪝((⋣$5700$)≃($1271$+$6582$)⨽($3729$⩘$1379$⩹$1498$⪢$1231$))","expression":"((⫖↰⪸1841≦≮≮)+⇶⊼(⫖↰⪸1114⊢)⩹(∜⨇(⫖↰⪸48A5⋕⪉⪜⫖↰⪸1278)))⪝((⋣⫖↰⪸3370)≃(⫖↰⪸89B+⫖↰⪸3986)⨽(⫖↰⪸21A9⩘⫖↰⪸96B⩹⫖↰⪸A4A⪢⫖↰⪸867))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3354588,"operation_count":14,"complexity_ratio":239613.42857142858,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2929,"base":12}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1888,"base":12}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":8189,"base":12},"right_expr":{"type":"numeric_atoms","value":2108,"base":12}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":5700,"base":12}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1271,"base":12},"right_expr":{"type":"numeric_atoms","value":6582,"base":12}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3729,"base":12},"right_expr":{"type":"numeric_atoms","value":1379,"base":12}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1498,"base":12},"right_expr":{"type":"numeric_atoms","value":1231,"base":12}}}}},"used_operators":["wicAB68Tmb","2Wsdkap16l","TpPTUOHfaN","D4vGDi5EA2","40aOVDgCDB","uFPyJr306J","z6LnFrNh4i","8HhzD0ZcuI","YbVcJGFEVW","zQWRhDnn8F","W4YGzv6Whe","cHh1gJQ2o6","dWAJyo7jo9"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2929","layer":4},{"info":"compute unary expreesion, input=2929, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8787","layer":3},{"info":"number node, value=1888","layer":4},{"info":"compute unary expreesion, input=1888, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2135","layer":3},{"info":"compute binary expreesion, left_input=-8787, right_input=-2135, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=8189","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=8189, right_input=2108, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=5700","layer":4},{"info":"compute unary expreesion, input=5700, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1675705","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=6582","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=6582, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7853","layer":3},{"info":"compute binary expreesion, left_input=-1675705, right_input=7853, 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=3351390","layer":2},{"info":"number node, value=3729","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=3729, right_input=1379, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1498","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=1231, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3351390, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1841≦≮≮)+⇶⊼(⫖↰⪸1114⊢)⩹(∜⨇(⫖↰⪸48A5⋕⪉⪜⫖↰⪸1278)))⪝((⋣⫖↰⪸3370)≃(⫖↰⪸89B+⫖↰⪸3986)⨽(⫖↰⪸21A9⩘⫖↰⪸96B⩹⫖↰⪸A4A⪢⫖↰⪸867))=NaN","reverse_text":"NaN=((⫖↰⪸1841≦≮≮)+⇶⊼(⫖↰⪸1114⊢)⩹(∜⨇(⫖↰⪸48A5⋕⪉⪜⫖↰⪸1278)))⪝((⋣⫖↰⪸3370)≃(⫖↰⪸89B+⫖↰⪸3986)⨽(⫖↰⪸21A9⩘⫖↰⪸96B⩹⫖↰⪸A4A⪢⫖↰⪸867))","cot":[{"info":"⫖↰⪸1841≦≮≮=⫖↰⪸-5103","layer":3},{"info":"⫖↰⪸1114⊢=⫖↰⪸-129B","layer":3},{"info":"⫖↰⪸-5103+⇶⊼⫖↰⪸-129B=NaN","layer":2},{"info":"⫖↰⪸48A5⋕⪉⪜⫖↰⪸1278=⫖↰⪸1756","layer":3},{"info":"∜⨇⫖↰⪸1756=NaN","layer":2},{"info":"NaN⩹NaN=NaN","layer":1},{"info":"⋣⫖↰⪸3370=⫖↰⪸-6898A1","layer":3},{"info":"⫖↰⪸89B+⫖↰⪸3986=⫖↰⪸4665","layer":3},{"info":"⫖↰⪸-6898A1≃⫖↰⪸4665=⫖↰⪸1157566","layer":2},{"info":"⫖↰⪸21A9⩘⫖↰⪸96B=⫖↰⪸114","layer":3},{"info":"⫖↰⪸A4A⪢⫖↰⪸867=NaN","layer":3},{"info":"⫖↰⪸114⩹NaN=NaN","layer":2},{"info":"⫖↰⪸1157566⨽NaN=NaN","layer":1},{"info":"NaN⪝NaN=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"((⇠$1375$)⋷$1519$⨑⩅≇$2692$)⪔⊥($4014$↯⫤)↳≱($4948$⫠↝⫳)⫡⨏(↥≼⋛$9251$∴$3302$)⊕∕(($2757$⫢⨠$5846$)≌(∟⋨$1466$))","expression":"((⇠⫖↰⪸967)⋷⫖↰⪸A67⨑⩅≇⫖↰⪸1684)⪔⊥(⫖↰⪸23A6↯⫤)↳≱(⫖↰⪸2A44⫠↝⫳)⫡⨏(↥≼⋛⫖↰⪸542B∴⫖↰⪸1AB2)⊕∕((⫖↰⪸1719⫢⨠⫖↰⪸3472)≌(∟⋨⫖↰⪸A22))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":975829,"operation_count":14,"complexity_ratio":69702.07142857143,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1375,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1519,"base":12},"right_expr":{"type":"numeric_atoms","value":2692,"base":12}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":4014,"base":12}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":4948,"base":12}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":9251,"base":12},"right_expr":{"type":"numeric_atoms","value":3302,"base":12}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2757,"base":12},"right_expr":{"type":"numeric_atoms","value":5846,"base":12}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1466,"base":12}}}}},"used_operators":["QMFrweE19q","HJ9erzHUuu","23Mk6UjR3U","18saOjeKKm","h92wMvzauj","JwTKLfZU96","VwlE7vj6HS","8n5YIzOsVS","9cloC0Ngie","x5lMkHmzsq","hrf7POJlIJ","lyWz822IDG","xlXykHWxX1","ctOc4cKSDt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","tmPS8pqC7x"],"result":"⫖↰⪸-3B0A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"compute unary expreesion, input=1375, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1133","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=2692","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=2692, 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=-4557","layer":3},{"info":"compute binary expreesion, left_input=-1133, right_input=-4557, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2266","layer":2},{"info":"number node, value=4014","layer":4},{"info":"compute unary expreesion, input=4014, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"number node, value=4948","layer":4},{"info":"compute unary expreesion, input=4948, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=158959","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=158959, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2266, right_input=0, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1467","layer":1},{"info":"number node, value=9251","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=9251, right_input=3302, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=20150","layer":3},{"info":"compute unary expreesion, input=20150, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=2757","layer":4},{"info":"number node, value=5846","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=5846, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-982","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-982, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=12996","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=12996, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=-1467, right_input=-113, 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=-6778","layer":0}],"base":12,"result_base":12,"text":"((⇠⫖↰⪸967)⋷⫖↰⪸A67⨑⩅≇⫖↰⪸1684)⪔⊥(⫖↰⪸23A6↯⫤)↳≱(⫖↰⪸2A44⫠↝⫳)⫡⨏(↥≼⋛⫖↰⪸542B∴⫖↰⪸1AB2)⊕∕((⫖↰⪸1719⫢⨠⫖↰⪸3472)≌(∟⋨⫖↰⪸A22))=⫖↰⪸-3B0A","reverse_text":"⫖↰⪸-3B0A=((⇠⫖↰⪸967)⋷⫖↰⪸A67⨑⩅≇⫖↰⪸1684)⪔⊥(⫖↰⪸23A6↯⫤)↳≱(⫖↰⪸2A44⫠↝⫳)⫡⨏(↥≼⋛⫖↰⪸542B∴⫖↰⪸1AB2)⊕∕((⫖↰⪸1719⫢⨠⫖↰⪸3472)≌(∟⋨⫖↰⪸A22))","cot":[{"info":"⇠⫖↰⪸967=⫖↰⪸-7A5","layer":3},{"info":"⫖↰⪸A67⨑⩅≇⫖↰⪸1684=⫖↰⪸-2779","layer":3},{"info":"⫖↰⪸-7A5⋷⫖↰⪸-2779=⫖↰⪸138A","layer":2},{"info":"⫖↰⪸23A6↯⫤=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2A44⫠↝⫳=⫖↰⪸77BA7","layer":3},{"info":"⫖↰⪸0↳≱⫖↰⪸77BA7=⫖↰⪸0","layer":2},{"info":"⫖↰⪸138A⪔⊥⫖↰⪸0=⫖↰⪸-A23","layer":1},{"info":"⫖↰⪸542B∴⫖↰⪸1AB2=⫖↰⪸B7B2","layer":3},{"info":"↥≼⋛⫖↰⪸B7B2=⫖↰⪸-95","layer":2},{"info":"⫖↰⪸1719⫢⨠⫖↰⪸3472=⫖↰⪸114","layer":3},{"info":"∟⋨⫖↰⪸A22=⫖↰⪸-69A","layer":3},{"info":"⫖↰⪸114≌⫖↰⪸-69A=⫖↰⪸7630","layer":2},{"info":"⫖↰⪸-95⊕∕⫖↰⪸7630=⫖↰⪸-95","layer":1},{"info":"⫖↰⪸-A23⫡⨏⫖↰⪸-95=⫖↰⪸-3B0A","layer":0}]}
{"id":952,"expression_no_base_symbol":"⇵⪽(⪝⪂⫅($2064$⋓$2944$)⇷($1130$⩏))","expression":"⇵⪽(⪝⪂⫅(⫖↰⪸1240⋓⫖↰⪸1854)⇷(⫖↰⪸7A2⩏))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":567,"operation_count":5,"complexity_ratio":113.4,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2064,"base":12},"right_expr":{"type":"numeric_atoms","value":2944,"base":12}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1130,"base":12}}}}},"used_operators":["ZGCBLdVRRX","XTarYq4gQB","mp7IySMOzn","T2fj7uvVaJ","iA2gmKZ3Wj"],"dependent_operators":["U7g4x0WXJJ","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","z6LnFrNh4i","Tcnh7f0tEr"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=2064","layer":4},{"info":"number node, value=2944","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=2944, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":0}],"base":12,"result_base":12,"text":"⇵⪽(⪝⪂⫅(⫖↰⪸1240⋓⫖↰⪸1854)⇷(⫖↰⪸7A2⩏))=⫖↰⪸0","reverse_text":"⫖↰⪸0=⇵⪽(⪝⪂⫅(⫖↰⪸1240⋓⫖↰⪸1854)⇷(⫖↰⪸7A2⩏))","cot":[{"info":"⫖↰⪸1240⋓⫖↰⪸1854=⫖↰⪸0","layer":3},{"info":"⫖↰⪸7A2⩏=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0⇷⫖↰⪸0=⫖↰⪸0","layer":2},{"info":"⪝⪂⫅⫖↰⪸0=⫖↰⪸0","layer":1},{"info":"⇵⪽⫖↰⪸0=⫖↰⪸0","layer":0}]}
{"id":953,"expression_no_base_symbol":"↨⩢⫨(($8496$∼$1186$)⋹⋡⊁(≉$4297$)≀⫉(≉$2728$∼$2892$))","expression":"↨⩢⫨((⫖↰⪸4B00∼⫖↰⪸82A)⋹⋡⊁(≉⫖↰⪸25A1)≀⫉(≉⫖↰⪸16B4∼⫖↰⪸1810))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":62973,"operation_count":7,"complexity_ratio":8996.142857142857,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8496,"base":12},"right_expr":{"type":"numeric_atoms","value":1186,"base":12}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4297,"base":12}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2728,"base":12},"right_expr":{"type":"numeric_atoms","value":2892,"base":12}}}}},"used_operators":["Z5CJsN7DuW","oZj3VtZNQx","As8RqfVLgs","DyGG3AbaNP","e1ybzncUwg"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=8496","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=8496, right_input=1186, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4297","layer":4},{"info":"compute unary expreesion, input=4297, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4828","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4828, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5578","layer":2},{"info":"number node, value=2728","layer":4},{"info":"number node, value=2892","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=2892, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5578, right_input=nan, 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 = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":12,"result_base":12,"text":"↨⩢⫨((⫖↰⪸4B00∼⫖↰⪸82A)⋹⋡⊁(≉⫖↰⪸25A1)≀⫉(≉⫖↰⪸16B4∼⫖↰⪸1810))=⫖↰⪸0","reverse_text":"⫖↰⪸0=↨⩢⫨((⫖↰⪸4B00∼⫖↰⪸82A)⋹⋡⊁(≉⫖↰⪸25A1)≀⫉(≉⫖↰⪸16B4∼⫖↰⪸1810))","cot":[{"info":"⫖↰⪸4B00∼⫖↰⪸82A=NaN","layer":3},{"info":"≉⫖↰⪸25A1=⫖↰⪸2964","layer":3},{"info":"NaN⋹⋡⊁⫖↰⪸2964=⫖↰⪸328A","layer":2},{"info":"⫖↰⪸16B4∼⫖↰⪸1810=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⫖↰⪸328A≀⫉NaN=⫖↰⪸1772","layer":1},{"info":"↨⩢⫨⫖↰⪸1772=⫖↰⪸0","layer":0}]}
{"id":954,"expression_no_base_symbol":"(⩦⩻⨪(↘$3526$)⩣⫁∢($2161$⪄$1110$))⩭","expression":"(⩦⩻⨪(↘⫖↰⪸205A)⩣⫁∢(⫖↰⪸1301⪄⫖↰⪸786))⩭","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":437474,"operation_count":5,"complexity_ratio":87494.8,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3526,"base":12}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2161,"base":12},"right_expr":{"type":"numeric_atoms","value":1110,"base":12}}}}},"used_operators":["yIPP7u6H5x","2td37pGCOC","JDUIKTTSIa","LdNpr8hQHL","SUmda5xLS4"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","uFcxV4UQCh","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫖↰⪸316","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3526","layer":4},{"info":"compute unary expreesion, input=3526, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=390","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=1110, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-320357","layer":3},{"info":"compute binary expreesion, left_input=390, right_input=-320357, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-619","layer":2},{"info":"compute unary expreesion, input=-619, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-619","layer":1},{"info":"compute unary expreesion, input=-619, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":0}],"base":12,"result_base":12,"text":"(⩦⩻⨪(↘⫖↰⪸205A)⩣⫁∢(⫖↰⪸1301⪄⫖↰⪸786))⩭=⫖↰⪸316","reverse_text":"⫖↰⪸316=(⩦⩻⨪(↘⫖↰⪸205A)⩣⫁∢(⫖↰⪸1301⪄⫖↰⪸786))⩭","cot":[{"info":"↘⫖↰⪸205A=⫖↰⪸286","layer":3},{"info":"⫖↰⪸1301⪄⫖↰⪸786=⫖↰⪸-135485","layer":3},{"info":"⫖↰⪸286⩣⫁∢⫖↰⪸-135485=⫖↰⪸-437","layer":2},{"info":"⩦⩻⨪⫖↰⪸-437=⫖↰⪸-437","layer":1},{"info":"⫖↰⪸-437⩭=⫖↰⪸316","layer":0}]}
{"id":955,"expression_no_base_symbol":"(⩦⊞(⩒∊$4793$))⇡⇂(($4437$⊝⪿⪼$3887$)⨜⨶$5676$⨐$3723$)∘(($1483$⇮⋭$2531$)≳⇉($3114$↬⩅∪))↢((⋎⨆$1750$)⊔$2994$⨫⇇↔$2416$)","expression":"(⩦⊞(⩒∊⫖↰⪸2935))⇡⇂((⫖↰⪸2699⊝⪿⪼⫖↰⪸22BB)⨜⨶⫖↰⪸3350⨐⫖↰⪸21A3)∘((⫖↰⪸A37⇮⋭⫖↰⪸156B)≳⇉(⫖↰⪸1976↬⩅∪))↢((⋎⨆⫖↰⪸101A)⊔⫖↰⪸1896⨫⇇↔⫖↰⪸1494)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3160010,"operation_count":14,"complexity_ratio":225715.0,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4793,"base":12}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4437,"base":12},"right_expr":{"type":"numeric_atoms","value":3887,"base":12}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5676,"base":12},"right_expr":{"type":"numeric_atoms","value":3723,"base":12}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1483,"base":12},"right_expr":{"type":"numeric_atoms","value":2531,"base":12}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":3114,"base":12}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1750,"base":12}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2994,"base":12},"right_expr":{"type":"numeric_atoms","value":2416,"base":12}}}}},"used_operators":["Z5m6OM72h2","UMwdvZNt44","u7fv1HBiaC","qazvmhNBbN","HiPekx5b7W","3Oe9XWJUTD","Noe24qw2ks","WR6HLWljOP","V0kx6qeWkN","vkpjKywKVM","VJ330n2nnx","E4l6HwMY31","E64sFOc4tB","LXhwmt4mBO"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4793","layer":4},{"info":"compute unary expreesion, input=4793, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=8829","layer":3},{"info":"compute unary expreesion, input=8829, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-8556","layer":2},{"info":"number node, value=4437","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=4437, right_input=3887, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=59751","layer":3},{"info":"number node, value=5676","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=5676, right_input=3723, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-11352","layer":3},{"info":"compute binary expreesion, left_input=59751, right_input=-11352, 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=530181","layer":2},{"info":"compute binary expreesion, left_input=-8556, right_input=530181, 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=1483","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=2531, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3114","layer":4},{"info":"compute unary expreesion, input=3114, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-9342","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-9342, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=1750","layer":4},{"info":"compute unary expreesion, input=1750, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2994","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=2994, right_input=2416, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-35","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⩦⊞(⩒∊⫖↰⪸2935))⇡⇂((⫖↰⪸2699⊝⪿⪼⫖↰⪸22BB)⨜⨶⫖↰⪸3350⨐⫖↰⪸21A3)∘((⫖↰⪸A37⇮⋭⫖↰⪸156B)≳⇉(⫖↰⪸1976↬⩅∪))↢((⋎⨆⫖↰⪸101A)⊔⫖↰⪸1896⨫⇇↔⫖↰⪸1494)=NaN","reverse_text":"NaN=(⩦⊞(⩒∊⫖↰⪸2935))⇡⇂((⫖↰⪸2699⊝⪿⪼⫖↰⪸22BB)⨜⨶⫖↰⪸3350⨐⫖↰⪸21A3)∘((⫖↰⪸A37⇮⋭⫖↰⪸156B)≳⇉(⫖↰⪸1976↬⩅∪))↢((⋎⨆⫖↰⪸101A)⊔⫖↰⪸1896⨫⇇↔⫖↰⪸1494)","cot":[{"info":"⩒∊⫖↰⪸2935=⫖↰⪸5139","layer":3},{"info":"⩦⊞⫖↰⪸5139=⫖↰⪸-4B50","layer":2},{"info":"⫖↰⪸2699⊝⪿⪼⫖↰⪸22BB=⫖↰⪸2A6B3","layer":3},{"info":"⫖↰⪸3350⨐⫖↰⪸21A3=⫖↰⪸-66A0","layer":3},{"info":"⫖↰⪸2A6B3⨜⨶⫖↰⪸-66A0=⫖↰⪸216999","layer":2},{"info":"⫖↰⪸-4B50⇡⇂⫖↰⪸216999=NaN","layer":1},{"info":"⫖↰⪸A37⇮⋭⫖↰⪸156B=⫖↰⪸-335","layer":3},{"info":"⫖↰⪸1976↬⩅∪=⫖↰⪸-54A6","layer":3},{"info":"⫖↰⪸-335≳⇉⫖↰⪸-54A6=NaN","layer":2},{"info":"⋎⨆⫖↰⪸101A=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1896⨫⇇↔⫖↰⪸1494=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸0⊔⫖↰⪸-37B=⫖↰⪸-2B","layer":2},{"info":"NaN↢⫖↰⪸-2B=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"(($1726$↡⊰⫅$7313$)⪥(⪭⩑⪱$1228$))⋕⪉⪜($2339$⨚⇆$5047$⊉≛↸$3210$⫸⊐$5931$)⨒($2107$⫞⩸⩒$4937$⨸⪁$2299$⋝⋈⪟$2367$)≧⫂∧($1231$⪛⫼$2124$)∛($3874$⊔$7700$)","expression":"((⫖↰⪸BBA↡⊰⫅⫖↰⪸4295)⪥(⪭⩑⪱⫖↰⪸864))⋕⪉⪜(⫖↰⪸142B⨚⇆⫖↰⪸2B07⊉≛↸⫖↰⪸1A36⫸⊐⫖↰⪸3523)⨒(⫖↰⪸1277⫞⩸⩒⫖↰⪸2A35⨸⪁⫖↰⪸13B7⋝⋈⪟⫖↰⪸1453)≧⫂∧(⫖↰⪸867⪛⫼⫖↰⪸1290)∛(⫖↰⪸22AA⊔⫖↰⪸4558)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":168872,"operation_count":15,"complexity_ratio":11258.133333333333,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1726,"base":12},"right_expr":{"type":"numeric_atoms","value":7313,"base":12}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1228,"base":12}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2339,"base":12},"right_expr":{"type":"numeric_atoms","value":5047,"base":12}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3210,"base":12},"right_expr":{"type":"numeric_atoms","value":5931,"base":12}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2107,"base":12},"right_expr":{"type":"numeric_atoms","value":4937,"base":12}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2299,"base":12},"right_expr":{"type":"numeric_atoms","value":2367,"base":12}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1231,"base":12},"right_expr":{"type":"numeric_atoms","value":2124,"base":12}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3874,"base":12},"right_expr":{"type":"numeric_atoms","value":7700,"base":12}}}}},"used_operators":["y75s1iXyHd","z6LnFrNh4i","QbnwKVWMIQ","VCtxkLNOzz","SIgE0bArFf","DZ8iAZOCBD","lwHaAYXP2r","mqXw5SEYmG","Ph9nP6C5qx","g55IO6H4Gj","XGcMNugi78","2DDjHMKMc0","w2537kitQq","hyuBjUqXlG","E4l6HwMY31"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⫖↰⪸-5B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1726","layer":4},{"info":"number node, value=7313","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=7313, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=14626","layer":3},{"info":"number node, value=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=14626, right_input=8320752, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=63156","layer":2},{"info":"number node, value=2339","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=5047, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3210","layer":4},{"info":"number node, value=5931","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=5931, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23599","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23599, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=63156, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=2107","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=4937, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4937","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=2367, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2299","layer":3},{"info":"compute binary expreesion, left_input=4937, right_input=2299, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14472","layer":2},{"info":"number node, value=1231","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2124, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=3874","layer":4},{"info":"number node, value=7700","layer":4},{"info":"compute binary expreesion, left_input=3874, right_input=7700, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=43848","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=43848, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=14472, right_input=-670, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=15142","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=15142, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-852","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸BBA↡⊰⫅⫖↰⪸4295)⪥(⪭⩑⪱⫖↰⪸864))⋕⪉⪜(⫖↰⪸142B⨚⇆⫖↰⪸2B07⊉≛↸⫖↰⪸1A36⫸⊐⫖↰⪸3523)⨒(⫖↰⪸1277⫞⩸⩒⫖↰⪸2A35⨸⪁⫖↰⪸13B7⋝⋈⪟⫖↰⪸1453)≧⫂∧(⫖↰⪸867⪛⫼⫖↰⪸1290)∛(⫖↰⪸22AA⊔⫖↰⪸4558)=⫖↰⪸-5B0","reverse_text":"⫖↰⪸-5B0=((⫖↰⪸BBA↡⊰⫅⫖↰⪸4295)⪥(⪭⩑⪱⫖↰⪸864))⋕⪉⪜(⫖↰⪸142B⨚⇆⫖↰⪸2B07⊉≛↸⫖↰⪸1A36⫸⊐⫖↰⪸3523)⨒(⫖↰⪸1277⫞⩸⩒⫖↰⪸2A35⨸⪁⫖↰⪸13B7⋝⋈⪟⫖↰⪸1453)≧⫂∧(⫖↰⪸867⪛⫼⫖↰⪸1290)∛(⫖↰⪸22AA⊔⫖↰⪸4558)","cot":[{"info":"⫖↰⪸BBA↡⊰⫅⫖↰⪸4295=⫖↰⪸856A","layer":3},{"info":"⪭⩑⪱⫖↰⪸864=⫖↰⪸2953300","layer":3},{"info":"⫖↰⪸856A⪥⫖↰⪸2953300=⫖↰⪸30670","layer":2},{"info":"⫖↰⪸142B⨚⇆⫖↰⪸2B07=NaN","layer":3},{"info":"⫖↰⪸1A36⫸⊐⫖↰⪸3523=⫖↰⪸117A7","layer":3},{"info":"NaN⊉≛↸⫖↰⪸117A7=NaN","layer":2},{"info":"⫖↰⪸30670⋕⪉⪜NaN=⫖↰⪸150","layer":1},{"info":"⫖↰⪸1277⫞⩸⩒⫖↰⪸2A35=⫖↰⪸2A35","layer":3},{"info":"⫖↰⪸13B7⋝⋈⪟⫖↰⪸1453=⫖↰⪸13B7","layer":3},{"info":"⫖↰⪸2A35⨸⪁⫖↰⪸13B7=⫖↰⪸8460","layer":2},{"info":"⫖↰⪸867⪛⫼⫖↰⪸1290=⫖↰⪸688","layer":3},{"info":"⫖↰⪸22AA⊔⫖↰⪸4558=⫖↰⪸21460","layer":3},{"info":"⫖↰⪸688∛⫖↰⪸21460=⫖↰⪸-47A","layer":2},{"info":"⫖↰⪸8460≧⫂∧⫖↰⪸-47A=⫖↰⪸891A","layer":1},{"info":"⫖↰⪸150⨒⫖↰⪸891A=⫖↰⪸-5B0","layer":0}]}
{"id":957,"expression_no_base_symbol":"(∮$1920$)⫞⩸⩒($6861$⩹$6660$)⩺⪪($6201$∙∹∝$2255$)↞⋁($3796$⨚$5711$)⫚↹⊑(($2132$⨚$3282$)⪒⊣⊆(⪫⨮⊛$5624$))⇡⇂($2687$⪝$1839$⋭≵$2514$≹⇙⪍$2283$)","expression":"(∮⫖↰⪸1140)⫞⩸⩒(⫖↰⪸3B79⩹⫖↰⪸3A30)⩺⪪(⫖↰⪸3709∙∹∝⫖↰⪸137B)↞⋁(⫖↰⪸2244⨚⫖↰⪸337B)⫚↹⊑((⫖↰⪸1298⨚⫖↰⪸1A96)⪒⊣⊆(⪫⨮⊛⫖↰⪸3308))⇡⇂(⫖↰⪸167B⪝⫖↰⪸1093⋭≵⫖↰⪸1556≹⇙⪍⫖↰⪸13A3)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3407373,"operation_count":15,"complexity_ratio":227158.2,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1920,"base":12}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6861,"base":12},"right_expr":{"type":"numeric_atoms","value":6660,"base":12}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6201,"base":12},"right_expr":{"type":"numeric_atoms","value":2255,"base":12}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3796,"base":12},"right_expr":{"type":"numeric_atoms","value":5711,"base":12}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2132,"base":12},"right_expr":{"type":"numeric_atoms","value":3282,"base":12}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":5624,"base":12}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2687,"base":12},"right_expr":{"type":"numeric_atoms","value":1839,"base":12}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2514,"base":12},"right_expr":{"type":"numeric_atoms","value":2283,"base":12}}}}},"used_operators":["dfKe02y8D2","uvdQJvN4PV","XGcMNugi78","CqXKPLVYql","2Wsdkap16l","RqrPlJkxDo","HmxsFra2vL","nREPSIbpBE","UMwdvZNt44","eRqsBgTDFp","w5FWba1tyO","jBncVCNhdl","wicAB68Tmb","AHs5Up7iyr"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","sdazOOVcIp","W4YGzv6Whe","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":4},{"info":"compute unary expreesion, input=1920, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=6861","layer":4},{"info":"number node, value=6660","layer":4},{"info":"compute binary expreesion, left_input=6861, right_input=6660, 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=6658","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=6658, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6658","layer":2},{"info":"number node, value=6201","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=6201, right_input=2255, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3796","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=3796, right_input=5711, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-14318","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14318, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6658, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-107426","layer":1},{"info":"number node, value=2132","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=3282, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7930","layer":3},{"info":"number node, value=5624","layer":4},{"info":"compute unary expreesion, input=5624, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7930, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"number node, value=2687","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=1839, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3791","layer":3},{"info":"number node, value=2514","layer":4},{"info":"number node, value=2283","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=2283, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3791, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-107426, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":12,"result_base":12,"text":"(∮⫖↰⪸1140)⫞⩸⩒(⫖↰⪸3B79⩹⫖↰⪸3A30)⩺⪪(⫖↰⪸3709∙∹∝⫖↰⪸137B)↞⋁(⫖↰⪸2244⨚⫖↰⪸337B)⫚↹⊑((⫖↰⪸1298⨚⫖↰⪸1A96)⪒⊣⊆(⪫⨮⊛⫖↰⪸3308))⇡⇂(⫖↰⪸167B⪝⫖↰⪸1093⋭≵⫖↰⪸1556≹⇙⪍⫖↰⪸13A3)=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=(∮⫖↰⪸1140)⫞⩸⩒(⫖↰⪸3B79⩹⫖↰⪸3A30)⩺⪪(⫖↰⪸3709∙∹∝⫖↰⪸137B)↞⋁(⫖↰⪸2244⨚⫖↰⪸337B)⫚↹⊑((⫖↰⪸1298⨚⫖↰⪸1A96)⪒⊣⊆(⪫⨮⊛⫖↰⪸3308))⇡⇂(⫖↰⪸167B⪝⫖↰⪸1093⋭≵⫖↰⪸1556≹⇙⪍⫖↰⪸13A3)","cot":[{"info":"∮⫖↰⪸1140=⫖↰⪸57","layer":3},{"info":"⫖↰⪸3B79⩹⫖↰⪸3A30=⫖↰⪸3A2A","layer":3},{"info":"⫖↰⪸57⫞⩸⩒⫖↰⪸3A2A=⫖↰⪸3A2A","layer":2},{"info":"⫖↰⪸3709∙∹∝⫖↰⪸137B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2244⨚⫖↰⪸337B=⫖↰⪸-8352","layer":3},{"info":"⫖↰⪸0↞⋁⫖↰⪸-8352=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3A2A⩺⪪⫖↰⪸0=⫖↰⪸-52202","layer":1},{"info":"⫖↰⪸1298⨚⫖↰⪸1A96=⫖↰⪸-470A","layer":3},{"info":"⪫⨮⊛⫖↰⪸3308=NaN","layer":3},{"info":"⫖↰⪸-470A⪒⊣⊆NaN=NaN","layer":2},{"info":"⫖↰⪸167B⪝⫖↰⪸1093=⫖↰⪸-223B","layer":3},{"info":"⫖↰⪸1556≹⇙⪍⫖↰⪸13A3=NaN","layer":3},{"info":"⫖↰⪸-223B⋭≵NaN=⫖↰⪸57","layer":2},{"info":"NaN⇡⇂⫖↰⪸57=NaN","layer":1},{"info":"⫖↰⪸-52202⫚↹⊑NaN=⫖↰⪸-313","layer":0}]}
{"id":958,"expression_no_base_symbol":"(⪨⨬(≋(⫓⪴$1041$)))⇂≾⫗(($5901$∼$2532$⪍↜⋙(⩪∧⨌$4679$))∇⊂⋱(($3296$∙⊟$8078$)⊢))","expression":"(⪨⨬(≋(⫓⪴⫖↰⪸729)))⇂≾⫗((⫖↰⪸34B9∼⫖↰⪸1570⪍↜⋙(⩪∧⨌⫖↰⪸285B))∇⊂⋱((⫖↰⪸1AA8∙⊟⫖↰⪸4812)⊢))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4661,"operation_count":10,"complexity_ratio":466.1,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1041,"base":12}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5901,"base":12},"right_expr":{"type":"numeric_atoms","value":2532,"base":12}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4679,"base":12}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3296,"base":12},"right_expr":{"type":"numeric_atoms","value":8078,"base":12}}}}},"used_operators":["aBQ6xLxuTc","5obUd6DV38","61wBmkZwlr","eLxqMNBOBk","nhYeJWJD5X","L05ObWFQCd","DyGG3AbaNP","6iOiAJX1F8","40aOVDgCDB","SxTAKzQCrw"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","T2fj7uvVaJ","nlCqmYiOvY","7j4O788W3g","9HNa5Wba9A","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","NTOWxs364D","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1083681","layer":3},{"info":"compute unary expreesion, input=1083681, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1083681","layer":2},{"info":"compute unary expreesion, input=1083681, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=5901","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=5901, right_input=2532, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4679","layer":4},{"info":"compute unary expreesion, input=4679, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=46790","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=46790, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"number node, value=3296","layer":4},{"info":"number node, value=8078","layer":4},{"info":"compute binary expreesion, left_input=3296, right_input=8078, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=52694","layer":3},{"info":"compute unary expreesion, input=52694, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-52941","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-52941, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪨⨬(≋(⫓⪴⫖↰⪸729)))⇂≾⫗((⫖↰⪸34B9∼⫖↰⪸1570⪍↜⋙(⩪∧⨌⫖↰⪸285B))∇⊂⋱((⫖↰⪸1AA8∙⊟⫖↰⪸4812)⊢))=NaN","reverse_text":"NaN=(⪨⨬(≋(⫓⪴⫖↰⪸729)))⇂≾⫗((⫖↰⪸34B9∼⫖↰⪸1570⪍↜⋙(⩪∧⨌⫖↰⪸285B))∇⊂⋱((⫖↰⪸1AA8∙⊟⫖↰⪸4812)⊢))","cot":[{"info":"⫓⪴⫖↰⪸729=⫖↰⪸443169","layer":3},{"info":"≋⫖↰⪸443169=⫖↰⪸443169","layer":2},{"info":"⪨⨬⫖↰⪸443169=⫖↰⪸-37A","layer":1},{"info":"⫖↰⪸34B9∼⫖↰⪸1570=NaN","layer":3},{"info":"⩪∧⨌⫖↰⪸285B=⫖↰⪸230B2","layer":3},{"info":"NaN⪍↜⋙⫖↰⪸230B2=NaN","layer":2},{"info":"⫖↰⪸1AA8∙⊟⫖↰⪸4812=⫖↰⪸265B2","layer":3},{"info":"⫖↰⪸265B2⊢=⫖↰⪸-26779","layer":2},{"info":"NaN∇⊂⋱⫖↰⪸-26779=NaN","layer":1},{"info":"⫖↰⪸-37A⇂≾⫗NaN=NaN","layer":0}]}
{"id":959,"expression_no_base_symbol":"∑⇻≧((≔$4060$)⨎($1705$⫳≱↱$1006$))⫗⊷⫓(($2953$⇚⪠)⨔⇊$4192$⪬$1961$)","expression":"∑⇻≧((≔⫖↰⪸2424)⨎(⫖↰⪸BA1⫳≱↱⫖↰⪸6BA))⫗⊷⫓((⫖↰⪸1861⇚⪠)⨔⇊⫖↰⪸2514⪬⫖↰⪸1175)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":962015,"operation_count":8,"complexity_ratio":120251.875,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":4060,"base":12}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1705,"base":12},"right_expr":{"type":"numeric_atoms","value":1006,"base":12}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":2953,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4192,"base":12},"right_expr":{"type":"numeric_atoms","value":1961,"base":12}}}}},"used_operators":["l1M9WJ3V7u","zashukvMKz","rJVOvQCfKK","8FLs4eVsLt","ZvLB05nZmT","JclMnS0uGI","Loh9y4A90B","Ez1Nq5fNfI"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⫖↰⪸-5B0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4060","layer":4},{"info":"compute unary expreesion, input=4060, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-112386","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1006, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-112386, right_input=-204, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-204","layer":2},{"info":"number node, value=2953","layer":4},{"info":"compute unary expreesion, input=2953, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=17440418","layer":3},{"info":"number node, value=4192","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=4192, right_input=1961, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=17440418, right_input=1234, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=1234, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":12,"result_base":12,"text":"∑⇻≧((≔⫖↰⪸2424)⨎(⫖↰⪸BA1⫳≱↱⫖↰⪸6BA))⫗⊷⫓((⫖↰⪸1861⇚⪠)⨔⇊⫖↰⪸2514⪬⫖↰⪸1175)=⫖↰⪸-5B0","reverse_text":"⫖↰⪸-5B0=∑⇻≧((≔⫖↰⪸2424)⨎(⫖↰⪸BA1⫳≱↱⫖↰⪸6BA))⫗⊷⫓((⫖↰⪸1861⇚⪠)⨔⇊⫖↰⪸2514⪬⫖↰⪸1175)","cot":[{"info":"≔⫖↰⪸2424=⫖↰⪸-55056","layer":3},{"info":"⫖↰⪸BA1⫳≱↱⫖↰⪸6BA=⫖↰⪸-150","layer":3},{"info":"⫖↰⪸-55056⨎⫖↰⪸-150=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸1861⇚⪠=⫖↰⪸5A10A02","layer":3},{"info":"⫖↰⪸2514⪬⫖↰⪸1175=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸5A10A02⨔⇊⫖↰⪸86A=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸-150⫗⊷⫓⫖↰⪸86A=⫖↰⪸-B2","layer":1},{"info":"∑⇻≧⫖↰⪸-B2=⫖↰⪸-5B0","layer":0}]}
{"id":960,"expression_no_base_symbol":"≯(($1921$⪡$1995$)⨔⇊($2245$⫁⪎$5056$))⫣⪄⊒($2881$≭$1371$)⪬($1086$⊝⪿⪼$1603$)","expression":"≯((⫖↰⪸1141⪡⫖↰⪸11A3)⨔⇊(⫖↰⪸1371⫁⪎⫖↰⪸2B14))⫣⪄⊒(⫖↰⪸1801≭⫖↰⪸963)⪬(⫖↰⪸766⊝⪿⪼⫖↰⪸B17)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":676,"operation_count":8,"complexity_ratio":84.5,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1921,"base":12},"right_expr":{"type":"numeric_atoms","value":1995,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2245,"base":12},"right_expr":{"type":"numeric_atoms","value":5056,"base":12}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2881,"base":12},"right_expr":{"type":"numeric_atoms","value":1371,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1086,"base":12},"right_expr":{"type":"numeric_atoms","value":1603,"base":12}}}}},"used_operators":["keWfFq85dY","RabNbG55vr","JclMnS0uGI","oraRL2iQuh","xRrnTEsQ6j","Ez1Nq5fNfI","rxpJgHHUmx","3Oe9XWJUTD"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","AHs5Up7iyr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1921","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=1995, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=5056","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=5056, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2811","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-2811, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=2881","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=2881, right_input=1371, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1603, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=26222","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=26222, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1234, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7782","layer":1},{"info":"compute unary expreesion, input=-7782, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":12,"result_base":12,"text":"≯((⫖↰⪸1141⪡⫖↰⪸11A3)⨔⇊(⫖↰⪸1371⫁⪎⫖↰⪸2B14))⫣⪄⊒(⫖↰⪸1801≭⫖↰⪸963)⪬(⫖↰⪸766⊝⪿⪼⫖↰⪸B17)=⫖↰⪸0","reverse_text":"⫖↰⪸0=≯((⫖↰⪸1141⪡⫖↰⪸11A3)⨔⇊(⫖↰⪸1371⫁⪎⫖↰⪸2B14))⫣⪄⊒(⫖↰⪸1801≭⫖↰⪸963)⪬(⫖↰⪸766⊝⪿⪼⫖↰⪸B17)","cot":[{"info":"⫖↰⪸1141⪡⫖↰⪸11A3=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸1371⫁⪎⫖↰⪸2B14=⫖↰⪸-1763","layer":3},{"info":"⫖↰⪸8B⨔⇊⫖↰⪸-1763=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1801≭⫖↰⪸963=NaN","layer":3},{"info":"⫖↰⪸766⊝⪿⪼⫖↰⪸B17=⫖↰⪸13212","layer":3},{"info":"NaN⪬⫖↰⪸13212=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸57⫣⪄⊒⫖↰⪸86A=⫖↰⪸-4606","layer":1},{"info":"≯⫖↰⪸-4606=⫖↰⪸0","layer":0}]}
{"id":961,"expression_no_base_symbol":"(($1065$/$1000$)⨪↰⇹(⫓⪴$3863$)⋭≵($1873$∖$3047$)⨟⋌⩍($3174$⨌↪))⊲⩕⊾(⪹(≻⋜($4909$⪢$1043$)))","expression":"((⫖↰⪸749/⫖↰⪸6B4)⨪↰⇹(⫓⪴⫖↰⪸229B)⋭≵(⫖↰⪸1101∖⫖↰⪸191B)⨟⋌⩍(⫖↰⪸1A06⨌↪))⊲⩕⊾(⪹(≻⋜(⫖↰⪸2A11⪢⫖↰⪸72B)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15763,"operation_count":11,"complexity_ratio":1433.0,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1065,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3863,"base":12}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1873,"base":12},"right_expr":{"type":"numeric_atoms","value":3047,"base":12}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":3174,"base":12}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4909,"base":12},"right_expr":{"type":"numeric_atoms","value":1043,"base":12}}}}},"used_operators":["DmTXOeWf9t","jBncVCNhdl","tmPS8pqC7x","XhwjNDsVaA","eLxqMNBOBk","rGHVDoGpnC","tXD093vOjl","cWQsF5MvuD","USyYr0JgAa","3tj9sqzovi","dWAJyo7jo9"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rJVOvQCfKK","rysDP5nf3Z","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","tifHPKVTfV","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1000, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3863","layer":4},{"info":"compute unary expreesion, input=3863, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=14922769","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=14922769, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1","layer":2},{"info":"number node, value=1873","layer":4},{"info":"number node, value=3047","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=3047, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=3174","layer":4},{"info":"compute unary expreesion, input=3174, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-480, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=0, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=32","layer":1},{"info":"number node, value=4909","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=4909, right_input=1043, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=32, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸749/⫖↰⪸6B4)⨪↰⇹(⫓⪴⫖↰⪸229B)⋭≵(⫖↰⪸1101∖⫖↰⪸191B)⨟⋌⩍(⫖↰⪸1A06⨌↪))⊲⩕⊾(⪹(≻⋜(⫖↰⪸2A11⪢⫖↰⪸72B)))=NaN","reverse_text":"NaN=((⫖↰⪸749/⫖↰⪸6B4)⨪↰⇹(⫓⪴⫖↰⪸229B)⋭≵(⫖↰⪸1101∖⫖↰⪸191B)⨟⋌⩍(⫖↰⪸1A06⨌↪))⊲⩕⊾(⪹(≻⋜(⫖↰⪸2A11⪢⫖↰⪸72B)))","cot":[{"info":"⫖↰⪸749/⫖↰⪸6B4=⫖↰⪸1","layer":3},{"info":"⫓⪴⫖↰⪸229B=⫖↰⪸4BB7A41","layer":3},{"info":"⫖↰⪸1⨪↰⇹⫖↰⪸4BB7A41=⫖↰⪸1","layer":2},{"info":"⫖↰⪸1101∖⫖↰⪸191B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1A06⨌↪=⫖↰⪸-340","layer":3},{"info":"⫖↰⪸0⨟⋌⩍⫖↰⪸-340=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1⋭≵⫖↰⪸0=⫖↰⪸28","layer":1},{"info":"⫖↰⪸2A11⪢⫖↰⪸72B=NaN","layer":3},{"info":"≻⋜NaN=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"⫖↰⪸28⊲⩕⊾NaN=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"(($3277$⨳⩥⨓$1921$)⊮⊟↴($3879$*$1894$)⩨$2060$⊉↱≁$1398$⨫⇇↔$3067$↞⋁$4469$)⋕⪉⪜(($2176$⪬$4648$⨵⪆$2342$⩘$6284$)∠⫱($1427$≚⊃≕$1666$⩨$1390$↳∿⪆$5583$))","expression":"((⫖↰⪸1A91⨳⩥⨓⫖↰⪸1141)⊮⊟↴(⫖↰⪸22B3*⫖↰⪸111A)⩨⫖↰⪸1238⊉↱≁⫖↰⪸986⨫⇇↔⫖↰⪸1937↞⋁⫖↰⪸2705)⋕⪉⪜((⫖↰⪸1314⪬⫖↰⪸2834⨵⪆⫖↰⪸1432⩘⫖↰⪸3778)∠⫱(⫖↰⪸9AB≚⊃≕⫖↰⪸B6A⩨⫖↰⪸97A↳∿⪆⫖↰⪸3293))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5349,"operation_count":15,"complexity_ratio":356.6,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3277,"base":12},"right_expr":{"type":"numeric_atoms","value":1921,"base":12}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3879,"base":12},"right_expr":{"type":"numeric_atoms","value":1894,"base":12}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2060,"base":12},"right_expr":{"type":"numeric_atoms","value":1398,"base":12}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3067,"base":12},"right_expr":{"type":"numeric_atoms","value":4469,"base":12}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2176,"base":12},"right_expr":{"type":"numeric_atoms","value":4648,"base":12}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2342,"base":12},"right_expr":{"type":"numeric_atoms","value":6284,"base":12}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1427,"base":12},"right_expr":{"type":"numeric_atoms","value":1666,"base":12}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1390,"base":12},"right_expr":{"type":"numeric_atoms","value":5583,"base":12}}}}},"used_operators":["z6LnFrNh4i","2DlMacCsIx","QDVgd2eftb","nCS4ZIUYfx","9HNa5Wba9A","LXhwmt4mBO","w2P8NbNXyL","RqrPlJkxDo","QvoQhV0rrE","2DQ55sFlQl","Ez1Nq5fNfI","cHh1gJQ2o6","Bmrmz2XGnR","Cw4SuJJGHO"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⫖↰⪸150","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3277","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=1921, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1356","layer":3},{"info":"number node, value=3879","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=3879, right_input=1894, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7346826","layer":3},{"info":"compute binary expreesion, left_input=-1356, right_input=7346826, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=2060","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=1398, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12160","layer":3},{"info":"number node, value=3067","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=4469, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12160, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2176","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=4648, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=6284","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=6284, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1427","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=1666, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=5583","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=5583, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1A91⨳⩥⨓⫖↰⪸1141)⊮⊟↴(⫖↰⪸22B3*⫖↰⪸111A)⩨⫖↰⪸1238⊉↱≁⫖↰⪸986⨫⇇↔⫖↰⪸1937↞⋁⫖↰⪸2705)⋕⪉⪜((⫖↰⪸1314⪬⫖↰⪸2834⨵⪆⫖↰⪸1432⩘⫖↰⪸3778)∠⫱(⫖↰⪸9AB≚⊃≕⫖↰⪸B6A⩨⫖↰⪸97A↳∿⪆⫖↰⪸3293))=⫖↰⪸150","reverse_text":"⫖↰⪸150=((⫖↰⪸1A91⨳⩥⨓⫖↰⪸1141)⊮⊟↴(⫖↰⪸22B3*⫖↰⪸111A)⩨⫖↰⪸1238⊉↱≁⫖↰⪸986⨫⇇↔⫖↰⪸1937↞⋁⫖↰⪸2705)⋕⪉⪜((⫖↰⪸1314⪬⫖↰⪸2834⨵⪆⫖↰⪸1432⩘⫖↰⪸3778)∠⫱(⫖↰⪸9AB≚⊃≕⫖↰⪸B6A⩨⫖↰⪸97A↳∿⪆⫖↰⪸3293))","cot":[{"info":"⫖↰⪸1A91⨳⩥⨓⫖↰⪸1141=⫖↰⪸-950","layer":3},{"info":"⫖↰⪸22B3*⫖↰⪸111A=⫖↰⪸2563776","layer":3},{"info":"⫖↰⪸-950⊮⊟↴⫖↰⪸2563776=⫖↰⪸0","layer":2},{"info":"⫖↰⪸1238⊉↱≁⫖↰⪸986=⫖↰⪸7054","layer":3},{"info":"⫖↰⪸1937↞⋁⫖↰⪸2705=NaN","layer":3},{"info":"⫖↰⪸7054⨫⇇↔NaN=⫖↰⪸-37B","layer":2},{"info":"⫖↰⪸0⩨⫖↰⪸-37B=NaN","layer":1},{"info":"⫖↰⪸1314⪬⫖↰⪸2834=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸1432⩘⫖↰⪸3778=⫖↰⪸114","layer":3},{"info":"⫖↰⪸86A⨵⪆⫖↰⪸114=⫖↰⪸114","layer":2},{"info":"⫖↰⪸9AB≚⊃≕⫖↰⪸B6A=⫖↰⪸57","layer":3},{"info":"⫖↰⪸97A↳∿⪆⫖↰⪸3293=NaN","layer":3},{"info":"⫖↰⪸57⩨NaN=NaN","layer":2},{"info":"⫖↰⪸114∠⫱NaN=NaN","layer":1},{"info":"NaN⋕⪉⪜NaN=⫖↰⪸150","layer":0}]}
{"id":963,"expression_no_base_symbol":"(($1053$⫍⨯↯)⊊)⨚⇆($5233$⩵∡$1029$)⊬⨰($2909$⩷∴$1654$)⫸⇳(⊀($1250$↓⨍⋜))⨰(⇺⋃$2848$)≨$3712$↢$3540$","expression":"((⫖↰⪸739⫍⨯↯)⊊)⨚⇆(⫖↰⪸3041⩵∡⫖↰⪸719)⊬⨰(⫖↰⪸1825⩷∴⫖↰⪸B5A)⫸⇳(⊀(⫖↰⪸882↓⨍⋜))⨰(⇺⋃⫖↰⪸1794)≨⫖↰⪸2194↢⫖↰⪸2070","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":637192,"operation_count":13,"complexity_ratio":49014.769230769234,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1053,"base":12}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5233,"base":12},"right_expr":{"type":"numeric_atoms","value":1029,"base":12}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2909,"base":12},"right_expr":{"type":"numeric_atoms","value":1654,"base":12}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1250,"base":12}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2848,"base":12}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3712,"base":12},"right_expr":{"type":"numeric_atoms","value":3540,"base":12}}}}},"used_operators":["gx7XJ7hdpj","lwHaAYXP2r","W9R8I5fN5A","ZcwmYACASQ","s3Fd5m9Dh2","Y7wcNGrDQJ","9FxExcQeMw","eewbuw0ToL","oPMjh9089D","3DVzLFNsE9","0KMCeP1Jsh","E5v5B3UAjG","WR6HLWljOP"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1020","layer":3},{"info":"compute unary expreesion, input=1020, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"number node, value=5233","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=1029, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-9558","layer":3},{"info":"number node, value=2909","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=1654, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2478","layer":3},{"info":"compute binary expreesion, left_input=-9558, right_input=2478, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-9204","layer":2},{"info":"compute binary expreesion, left_input=90927, right_input=-9204, 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=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute unary expreesion, input=6590, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=26098","layer":2},{"info":"number node, value=2848","layer":4},{"info":"compute unary expreesion, input=2848, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=3712","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=3712, right_input=3540, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3228","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3228, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26098, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸739⫍⨯↯)⊊)⨚⇆(⫖↰⪸3041⩵∡⫖↰⪸719)⊬⨰(⫖↰⪸1825⩷∴⫖↰⪸B5A)⫸⇳(⊀(⫖↰⪸882↓⨍⋜))⨰(⇺⋃⫖↰⪸1794)≨⫖↰⪸2194↢⫖↰⪸2070=NaN","reverse_text":"NaN=((⫖↰⪸739⫍⨯↯)⊊)⨚⇆(⫖↰⪸3041⩵∡⫖↰⪸719)⊬⨰(⫖↰⪸1825⩷∴⫖↰⪸B5A)⫸⇳(⊀(⫖↰⪸882↓⨍⋜))⨰(⇺⋃⫖↰⪸1794)≨⫖↰⪸2194↢⫖↰⪸2070","cot":[{"info":"⫖↰⪸739⫍⨯↯=⫖↰⪸710","layer":3},{"info":"⫖↰⪸710⊊=⫖↰⪸44753","layer":2},{"info":"⫖↰⪸3041⩵∡⫖↰⪸719=⫖↰⪸-5646","layer":3},{"info":"⫖↰⪸1825⩷∴⫖↰⪸B5A=⫖↰⪸1526","layer":3},{"info":"⫖↰⪸-5646⊬⨰⫖↰⪸1526=⫖↰⪸-53B0","layer":2},{"info":"⫖↰⪸44753⨚⇆⫖↰⪸-53B0=NaN","layer":1},{"info":"⫖↰⪸882↓⨍⋜=⫖↰⪸3992","layer":3},{"info":"⊀⫖↰⪸3992=⫖↰⪸1312A","layer":2},{"info":"⇺⋃⫖↰⪸1794=NaN","layer":3},{"info":"⫖↰⪸2194↢⫖↰⪸2070=⫖↰⪸1A50","layer":3},{"info":"NaN≨⫖↰⪸1A50=NaN","layer":2},{"info":"⫖↰⪸1312A⨰NaN=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]}
{"id":964,"expression_no_base_symbol":"↔(⊽($4779$⊴$1710$))⩖⊿(($1588$⋥≓≎$3718$)⫉⨲⊜$9059$⫗⊷⫓$1029$)","expression":"↔(⊽(⫖↰⪸2923⊴⫖↰⪸BA6))⩖⊿((⫖↰⪸B04⋥≓≎⫖↰⪸219A)⫉⨲⊜⫖↰⪸52AB⫗⊷⫓⫖↰⪸719)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":800748,"operation_count":7,"complexity_ratio":114392.57142857143,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4779,"base":12},"right_expr":{"type":"numeric_atoms","value":1710,"base":12}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1588,"base":12},"right_expr":{"type":"numeric_atoms","value":3718,"base":12}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":9059,"base":12},"right_expr":{"type":"numeric_atoms","value":1029,"base":12}}}}},"used_operators":["ruOEQAzv1W","RZ5CV9rWsJ","QxG7OkqoLX","Nsiff2A1zJ","WhqkvtTD3t","Qy55tPpLXF","zashukvMKz"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","dWAJyo7jo9","14qkJME0vr","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⫖↰⪸-B2","longer_result_info":{"target_base":12,"flag":false},"cot_info":[{"info":"number node, value=4779","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=1710, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":2},{"info":"number node, value=1588","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=3718, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5881","layer":3},{"info":"number node, value=9059","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=9059, right_input=1029, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=5881, right_input=-134, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":12,"result_base":12,"text":"↔(⊽(⫖↰⪸2923⊴⫖↰⪸BA6))⩖⊿((⫖↰⪸B04⋥≓≎⫖↰⪸219A)⫉⨲⊜⫖↰⪸52AB⫗⊷⫓⫖↰⪸719)=⫖↰⪸-B2","reverse_text":"⫖↰⪸-B2=↔(⊽(⫖↰⪸2923⊴⫖↰⪸BA6))⩖⊿((⫖↰⪸B04⋥≓≎⫖↰⪸219A)⫉⨲⊜⫖↰⪸52AB⫗⊷⫓⫖↰⪸719)","cot":[{"info":"⫖↰⪸2923⊴⫖↰⪸BA6=NaN","layer":3},{"info":"⊽NaN=NaN","layer":2},{"info":"⫖↰⪸B04⋥≓≎⫖↰⪸219A=⫖↰⪸34A1","layer":3},{"info":"⫖↰⪸52AB⫗⊷⫓⫖↰⪸719=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸34A1⫉⨲⊜⫖↰⪸-B2=⫖↰⪸-184","layer":2},{"info":"NaN⩖⊿⫖↰⪸-184=NaN","layer":1},{"info":"↔NaN=⫖↰⪸-B2","layer":0}]}
{"id":965,"expression_no_base_symbol":"(($1298$⩹$3524$)≴⪞⇿($2974$⊱⇼⊻$1270$))⫗⊷⫓($1020$≹⇙⪍$1586$⫥∨⫟$5046$≎⊠⪸$2488$)⨑≵⋬(⨈⫕($1732$∘$1136$)↞⋁$1024$⪬$2233$)","expression":"((⫖↰⪸902⩹⫖↰⪸2058)≴⪞⇿(⫖↰⪸187A⊱⇼⊻⫖↰⪸89A))⫗⊷⫓(⫖↰⪸710≹⇙⪍⫖↰⪸B02⫥∨⫟⫖↰⪸2B06≎⊠⪸⫖↰⪸1534)⨑≵⋬(⨈⫕(⫖↰⪸1004∘⫖↰⪸7A8)↞⋁⫖↰⪸714⪬⫖↰⪸1361)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5270,"operation_count":12,"complexity_ratio":439.1666666666667,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1298,"base":12},"right_expr":{"type":"numeric_atoms","value":3524,"base":12}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2974,"base":12},"right_expr":{"type":"numeric_atoms","value":1270,"base":12}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1020,"base":12},"right_expr":{"type":"numeric_atoms","value":1586,"base":12}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5046,"base":12},"right_expr":{"type":"numeric_atoms","value":2488,"base":12}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1732,"base":12},"right_expr":{"type":"numeric_atoms","value":1136,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1024,"base":12},"right_expr":{"type":"numeric_atoms","value":2233,"base":12}}}}},"used_operators":["XnXgA4xnOs","zashukvMKz","lvlrscuwVU","2Wsdkap16l","FyVja0WsTP","KYD54nUTWz","AHs5Up7iyr","bJkvcejdHO","megm06wKyl","RqrPlJkxDo","Z5m6OM72h2","Ez1Nq5fNfI"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eH2TOUuTDT","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⫖↰⪸114A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1298","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=3524, 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=3522","layer":3},{"info":"number node, value=2974","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=1270, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=3522, right_input=434, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=21112236","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1586, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5046","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=2488, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1306441","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1306441, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=21112236, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=1732","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=1136, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3464","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2233, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=3464, right_input=1234, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=-134, right_input=-21, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1930","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸902⩹⫖↰⪸2058)≴⪞⇿(⫖↰⪸187A⊱⇼⊻⫖↰⪸89A))⫗⊷⫓(⫖↰⪸710≹⇙⪍⫖↰⪸B02⫥∨⫟⫖↰⪸2B06≎⊠⪸⫖↰⪸1534)⨑≵⋬(⨈⫕(⫖↰⪸1004∘⫖↰⪸7A8)↞⋁⫖↰⪸714⪬⫖↰⪸1361)=⫖↰⪸114A","reverse_text":"⫖↰⪸114A=((⫖↰⪸902⩹⫖↰⪸2058)≴⪞⇿(⫖↰⪸187A⊱⇼⊻⫖↰⪸89A))⫗⊷⫓(⫖↰⪸710≹⇙⪍⫖↰⪸B02⫥∨⫟⫖↰⪸2B06≎⊠⪸⫖↰⪸1534)⨑≵⋬(⨈⫕(⫖↰⪸1004∘⫖↰⪸7A8)↞⋁⫖↰⪸714⪬⫖↰⪸1361)","cot":[{"info":"⫖↰⪸902⩹⫖↰⪸2058=⫖↰⪸2056","layer":3},{"info":"⫖↰⪸187A⊱⇼⊻⫖↰⪸89A=⫖↰⪸302","layer":3},{"info":"⫖↰⪸2056≴⪞⇿⫖↰⪸302=⫖↰⪸70A1890","layer":2},{"info":"⫖↰⪸710≹⇙⪍⫖↰⪸B02=NaN","layer":3},{"info":"⫖↰⪸2B06≎⊠⪸⫖↰⪸1534=⫖↰⪸530061","layer":3},{"info":"NaN⫥∨⫟⫖↰⪸530061=NaN","layer":2},{"info":"⫖↰⪸70A1890⫗⊷⫓NaN=⫖↰⪸-B2","layer":1},{"info":"⫖↰⪸1004∘⫖↰⪸7A8=⫖↰⪸2008","layer":3},{"info":"⫖↰⪸714⪬⫖↰⪸1361=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸2008↞⋁⫖↰⪸86A=NaN","layer":2},{"info":"⨈⫕NaN=⫖↰⪸-19","layer":1},{"info":"⫖↰⪸-B2⨑≵⋬⫖↰⪸-19=⫖↰⪸114A","layer":0}]}
{"id":966,"expression_no_base_symbol":"(⊈$8912$)⊴($4748$⪘⫢$3837$)⊔(⋠∜$2205$)∇⊂⋱$6245$⨔⇊$1410$⩭","expression":"(⊈⫖↰⪸51A8)⊴(⫖↰⪸28B8⪘⫢⫖↰⪸2279)⊔(⋠∜⫖↰⪸1339)∇⊂⋱⫖↰⪸3745⨔⇊⫖↰⪸996⩭","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10240,"operation_count":8,"complexity_ratio":1280.0,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":8912,"base":12}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4748,"base":12},"right_expr":{"type":"numeric_atoms","value":3837,"base":12}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2205,"base":12}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":6245,"base":12},"right_expr":{"type":"numeric_atoms","value":1410,"base":12}}}}},"used_operators":["yIPP7u6H5x","E4l6HwMY31","Nsiff2A1zJ","RHru8klgy8","oacrs7FA3X","nhYeJWJD5X","ZJpFhNJr3x","JclMnS0uGI"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","12rbrZMWeM","xUOZtlo3hN","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=8912","layer":4},{"info":"compute unary expreesion, input=8912, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-9086","layer":3},{"info":"number node, value=4748","layer":4},{"info":"number node, value=3837","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=3837, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9372","layer":3},{"info":"compute binary expreesion, left_input=-9086, right_input=9372, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2205","layer":4},{"info":"compute unary expreesion, input=2205, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=11104","layer":3},{"info":"number node, value=6245","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=6245, right_input=1410, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1410","layer":3},{"info":"compute binary expreesion, left_input=11104, right_input=1410, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=21662","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21662, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⊈⫖↰⪸51A8)⊴(⫖↰⪸28B8⪘⫢⫖↰⪸2279)⊔(⋠∜⫖↰⪸1339)∇⊂⋱⫖↰⪸3745⨔⇊⫖↰⪸996⩭=NaN","reverse_text":"NaN=(⊈⫖↰⪸51A8)⊴(⫖↰⪸28B8⪘⫢⫖↰⪸2279)⊔(⋠∜⫖↰⪸1339)∇⊂⋱⫖↰⪸3745⨔⇊⫖↰⪸996⩭","cot":[{"info":"⊈⫖↰⪸51A8=⫖↰⪸-5312","layer":3},{"info":"⫖↰⪸28B8⪘⫢⫖↰⪸2279=⫖↰⪸5510","layer":3},{"info":"⫖↰⪸-5312⊴⫖↰⪸5510=NaN","layer":2},{"info":"⋠∜⫖↰⪸1339=⫖↰⪸6514","layer":3},{"info":"⫖↰⪸3745⨔⇊⫖↰⪸996=⫖↰⪸996","layer":3},{"info":"⫖↰⪸6514∇⊂⋱⫖↰⪸996=⫖↰⪸10652","layer":2},{"info":"NaN⊔⫖↰⪸10652=NaN","layer":1},{"info":"NaN⩭=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"(($1432$⇼⇔∾$1028$)⪝($2573$⇂≾⫗$1881$)⪎↠($4018$≚⊃≕$3162$↙$1840$+⇶⊼$2804$))⇻⋧≁(((⪛⨧$3817$)≎⊠⪸$2859$⫗⊷⫓$1166$)∳⫺((∤↝$2310$)⪁($4733$⩁)))","expression":"((⫖↰⪸9B4⇼⇔∾⫖↰⪸718)⪝(⫖↰⪸15A5⇂≾⫗⫖↰⪸1109)⪎↠(⫖↰⪸23AA≚⊃≕⫖↰⪸19B6↙⫖↰⪸1094+⇶⊼⫖↰⪸1758))⇻⋧≁(((⪛⨧⫖↰⪸2261)≎⊠⪸⫖↰⪸17A3⫗⊷⫓⫖↰⪸812)∳⫺((∤↝⫖↰⪸1406)⪁(⫖↰⪸28A5⩁)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":943675,"operation_count":15,"complexity_ratio":62911.666666666664,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1432,"base":12},"right_expr":{"type":"numeric_atoms","value":1028,"base":12}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2573,"base":12},"right_expr":{"type":"numeric_atoms","value":1881,"base":12}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4018,"base":12},"right_expr":{"type":"numeric_atoms","value":3162,"base":12}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1840,"base":12},"right_expr":{"type":"numeric_atoms","value":2804,"base":12}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3817,"base":12}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2859,"base":12},"right_expr":{"type":"numeric_atoms","value":1166,"base":12}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2310,"base":12}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":4733,"base":12}}}}},"used_operators":["jCPkEVoL5K","3tVxb0NHM4","wicAB68Tmb","tifHPKVTfV","aBQ6xLxuTc","yyfyN0ffXY","Bmrmz2XGnR","TpPTUOHfaN","AzXXKTstlj","bJkvcejdHO","6NJAcO2OWT","zashukvMKz","I7sXao9hZE","3UMq87Qwqg","5GqDbVmqXU"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"⫖↰⪸-313","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1432","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1028, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-404","layer":3},{"info":"number node, value=2573","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=1881, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-404, right_input=-676, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1487","layer":2},{"info":"number node, value=4018","layer":4},{"info":"number node, value=3162","layer":4},{"info":"compute binary expreesion, left_input=4018, right_input=3162, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1840","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=2804, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1487, right_input=67, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"number node, value=3817","layer":4},{"info":"compute unary expreesion, input=3817, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=9035","layer":3},{"info":"number node, value=2859","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=1166, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=9035, right_input=-134, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2339592","layer":2},{"info":"number node, value=2310","layer":4},{"info":"compute unary expreesion, input=2310, 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=2310","layer":3},{"info":"number node, value=4733","layer":4},{"info":"compute unary expreesion, input=4733, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-35084","layer":3},{"info":"compute binary expreesion, left_input=2310, right_input=-35084, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2339592, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=-260, 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":12,"result_base":12,"text":"((⫖↰⪸9B4⇼⇔∾⫖↰⪸718)⪝(⫖↰⪸15A5⇂≾⫗⫖↰⪸1109)⪎↠(⫖↰⪸23AA≚⊃≕⫖↰⪸19B6↙⫖↰⪸1094+⇶⊼⫖↰⪸1758))⇻⋧≁(((⪛⨧⫖↰⪸2261)≎⊠⪸⫖↰⪸17A3⫗⊷⫓⫖↰⪸812)∳⫺((∤↝⫖↰⪸1406)⪁(⫖↰⪸28A5⩁)))=⫖↰⪸-313","reverse_text":"⫖↰⪸-313=((⫖↰⪸9B4⇼⇔∾⫖↰⪸718)⪝(⫖↰⪸15A5⇂≾⫗⫖↰⪸1109)⪎↠(⫖↰⪸23AA≚⊃≕⫖↰⪸19B6↙⫖↰⪸1094+⇶⊼⫖↰⪸1758))⇻⋧≁(((⪛⨧⫖↰⪸2261)≎⊠⪸⫖↰⪸17A3⫗⊷⫓⫖↰⪸812)∳⫺((∤↝⫖↰⪸1406)⪁(⫖↰⪸28A5⩁)))","cot":[{"info":"⫖↰⪸9B4⇼⇔∾⫖↰⪸718=⫖↰⪸-298","layer":3},{"info":"⫖↰⪸15A5⇂≾⫗⫖↰⪸1109=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸-298⪝⫖↰⪸-484=⫖↰⪸-A3B","layer":2},{"info":"⫖↰⪸23AA≚⊃≕⫖↰⪸19B6=⫖↰⪸57","layer":3},{"info":"⫖↰⪸1094+⇶⊼⫖↰⪸1758=NaN","layer":3},{"info":"⫖↰⪸57↙NaN=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-A3B⪎↠⫖↰⪸57=⫖↰⪸-47","layer":1},{"info":"⪛⨧⫖↰⪸2261=⫖↰⪸528B","layer":3},{"info":"⫖↰⪸17A3⫗⊷⫓⫖↰⪸812=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸528B≎⊠⪸⫖↰⪸-B2=⫖↰⪸949B20","layer":2},{"info":"∤↝⫖↰⪸1406=⫖↰⪸1406","layer":3},{"info":"⫖↰⪸28A5⩁=⫖↰⪸-18378","layer":3},{"info":"⫖↰⪸1406⪁⫖↰⪸-18378=NaN","layer":2},{"info":"⫖↰⪸949B20∳⫺NaN=⫖↰⪸-198","layer":1},{"info":"⫖↰⪸-47⇻⋧≁⫖↰⪸-198=⫖↰⪸-313","layer":0}]}
{"id":968,"expression_no_base_symbol":"(↞≼($1221$+⇶⊼$1351$))⪬((∟⋨$7302$)↤⩊($1841$↼⊘⨖$7408$))⇼⇔∾((⩏⊷≩$5293$)⫒⫫($3081$∠⫱$2001$)∪⫐(($3166$+$5126$)↠))","expression":"(↞≼(⫖↰⪸859+⇶⊼⫖↰⪸947))⪬((∟⋨⫖↰⪸4286)↤⩊(⫖↰⪸1095↼⊘⨖⫖↰⪸4354))⇼⇔∾((⩏⊷≩⫖↰⪸3091)⫒⫫(⫖↰⪸1949∠⫱⫖↰⪸11A9)∪⫐((⫖↰⪸19BA+⫖↰⪸2B72)↠))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8119,"operation_count":13,"complexity_ratio":624.5384615384615,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1221,"base":12},"right_expr":{"type":"numeric_atoms","value":1351,"base":12}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":7302,"base":12}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1841,"base":12},"right_expr":{"type":"numeric_atoms","value":7408,"base":12}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":5293,"base":12}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3081,"base":12},"right_expr":{"type":"numeric_atoms","value":2001,"base":12}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3166,"base":12},"right_expr":{"type":"numeric_atoms","value":5126,"base":12}}}}},"used_operators":["tifHPKVTfV","Ez1Nq5fNfI","DE7zCoGJt9","TpPTUOHfaN","13rbtpv6ld","ctOc4cKSDt","bPywburJMS","7YooWSwCyH","6Ko8hGgeMq","uOZ1tnYMDE","QvoQhV0rrE","LBdsKIvxzf","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","AHs5Up7iyr","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","23Mk6UjR3U","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=1351, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"number node, value=7302","layer":4},{"info":"compute unary expreesion, input=7302, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-6818","layer":3},{"info":"number node, value=1841","layer":4},{"info":"number node, value=7408","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=7408, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14594","layer":3},{"info":"compute binary expreesion, left_input=-6818, right_input=14594, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=5293","layer":4},{"info":"compute unary expreesion, input=5293, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=10285","layer":3},{"info":"number node, value=3081","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=2001, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=10285, right_input=1234, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=3166","layer":4},{"info":"number node, value=5126","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=5126, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8292","layer":3},{"info":"compute unary expreesion, input=8292, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(↞≼(⫖↰⪸859+⇶⊼⫖↰⪸947))⪬((∟⋨⫖↰⪸4286)↤⩊(⫖↰⪸1095↼⊘⨖⫖↰⪸4354))⇼⇔∾((⩏⊷≩⫖↰⪸3091)⫒⫫(⫖↰⪸1949∠⫱⫖↰⪸11A9)∪⫐((⫖↰⪸19BA+⫖↰⪸2B72)↠))=NaN","reverse_text":"NaN=(↞≼(⫖↰⪸859+⇶⊼⫖↰⪸947))⪬((∟⋨⫖↰⪸4286)↤⩊(⫖↰⪸1095↼⊘⨖⫖↰⪸4354))⇼⇔∾((⩏⊷≩⫖↰⪸3091)⫒⫫(⫖↰⪸1949∠⫱⫖↰⪸11A9)∪⫐((⫖↰⪸19BA+⫖↰⪸2B72)↠))","cot":[{"info":"⫖↰⪸859+⇶⊼⫖↰⪸947=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"∟⋨⫖↰⪸4286=⫖↰⪸-3B42","layer":3},{"info":"⫖↰⪸1095↼⊘⨖⫖↰⪸4354=⫖↰⪸8542","layer":3},{"info":"⫖↰⪸-3B42↤⩊⫖↰⪸8542=NaN","layer":2},{"info":"NaN⪬NaN=⫖↰⪸86A","layer":1},{"info":"⩏⊷≩⫖↰⪸3091=⫖↰⪸5B51","layer":3},{"info":"⫖↰⪸1949∠⫱⫖↰⪸11A9=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸5B51⫒⫫⫖↰⪸86A=NaN","layer":2},{"info":"⫖↰⪸19BA+⫖↰⪸2B72=⫖↰⪸4970","layer":3},{"info":"⫖↰⪸4970↠=⫖↰⪸-313","layer":2},{"info":"NaN∪⫐⫖↰⪸-313=NaN","layer":1},{"info":"⫖↰⪸86A⇼⇔∾NaN=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"≀↧⇸($4933$⩁⩘$2966$%($1008$⫲⨊))≌(⇖⫷⫕$1782$∴$1256$)","expression":"≀↧⇸(⫖↰⪸2A31⩁⩘⫖↰⪸1872%(⫖↰⪸700⫲⨊))≌(⇖⫷⫕⫖↰⪸1046∴⫖↰⪸888)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3820,"operation_count":7,"complexity_ratio":545.7142857142857,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4933,"base":12},"right_expr":{"type":"numeric_atoms","value":2966,"base":12}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1008,"base":12}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1782,"base":12},"right_expr":{"type":"numeric_atoms","value":1256,"base":12}}}}},"used_operators":["ljTHtUsqzn","lyWz822IDG","k8jYdgA6NY","gub5Cegaqo","CArV6hThFE","UHmRx3INFg","hrf7POJlIJ"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4933","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=4933, right_input=2966, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12812","layer":3},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=5823","layer":3},{"info":"compute binary expreesion, left_input=12812, right_input=5823, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1166","layer":2},{"info":"number node, value=1782","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=1256, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5212","layer":3},{"info":"compute unary expreesion, input=5212, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=1166, right_input=2822, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"≀↧⇸(⫖↰⪸2A31⩁⩘⫖↰⪸1872%(⫖↰⪸700⫲⨊))≌(⇖⫷⫕⫖↰⪸1046∴⫖↰⪸888)=NaN","reverse_text":"NaN=≀↧⇸(⫖↰⪸2A31⩁⩘⫖↰⪸1872%(⫖↰⪸700⫲⨊))≌(⇖⫷⫕⫖↰⪸1046∴⫖↰⪸888)","cot":[{"info":"⫖↰⪸2A31⩁⩘⫖↰⪸1872=⫖↰⪸74B8","layer":3},{"info":"⫖↰⪸700⫲⨊=⫖↰⪸3453","layer":3},{"info":"⫖↰⪸74B8%⫖↰⪸3453=⫖↰⪸812","layer":2},{"info":"⫖↰⪸1046∴⫖↰⪸888=⫖↰⪸3024","layer":3},{"info":"⇖⫷⫕⫖↰⪸3024=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸812≌⫖↰⪸1772=NaN","layer":1},{"info":"≀↧⇸NaN=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"⨆≐≲((($6650$↡⊰⫅$1458$)⇴∐(≪$5002$))⨸($6105$⨸$4602$≥⨤⩑$1870$⋛$3449$))","expression":"⨆≐≲(((⫖↰⪸3A22↡⊰⫅⫖↰⪸A16)⇴∐(≪⫖↰⪸2A8A))⨸(⫖↰⪸3649⨸⫖↰⪸27B6≥⨤⩑⫖↰⪸10BA⋛⫖↰⪸1BB5))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2475795,"operation_count":8,"complexity_ratio":309474.375,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6650,"base":12},"right_expr":{"type":"numeric_atoms","value":1458,"base":12}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":5002,"base":12}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":6105,"base":12},"right_expr":{"type":"numeric_atoms","value":4602,"base":12}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1870,"base":12},"right_expr":{"type":"numeric_atoms","value":3449,"base":12}}}}},"used_operators":["Bi9z9uYZqW","KmoU8R5UQR","HnzytWxmAO","VCtxkLNOzz","Qtd6bqUJcN","gJLn6v0xnP","YbUVn0Rbpy"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⫖↰⪸-81658","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6650","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=6650, right_input=1458, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2916","layer":3},{"info":"number node, value=5002","layer":4},{"info":"compute unary expreesion, input=5002, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=2916, right_input=913, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=6105","layer":4},{"info":"number node, value=4602","layer":4},{"info":"compute binary expreesion, left_input=6105, right_input=4602, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=12210","layer":3},{"info":"number node, value=1870","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=3449, 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=-115362","layer":3},{"info":"compute binary expreesion, left_input=12210, right_input=-115362, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=24420","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24420, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":12,"result_base":12,"text":"⨆≐≲(((⫖↰⪸3A22↡⊰⫅⫖↰⪸A16)⇴∐(≪⫖↰⪸2A8A))⨸(⫖↰⪸3649⨸⫖↰⪸27B6≥⨤⩑⫖↰⪸10BA⋛⫖↰⪸1BB5))=⫖↰⪸-81658","reverse_text":"⫖↰⪸-81658=⨆≐≲(((⫖↰⪸3A22↡⊰⫅⫖↰⪸A16)⇴∐(≪⫖↰⪸2A8A))⨸(⫖↰⪸3649⨸⫖↰⪸27B6≥⨤⩑⫖↰⪸10BA⋛⫖↰⪸1BB5))","cot":[{"info":"⫖↰⪸3A22↡⊰⫅⫖↰⪸A16=⫖↰⪸1830","layer":3},{"info":"≪⫖↰⪸2A8A=⫖↰⪸641","layer":3},{"info":"⫖↰⪸1830⇴∐⫖↰⪸641=NaN","layer":2},{"info":"⫖↰⪸3649⨸⫖↰⪸27B6=⫖↰⪸7096","layer":3},{"info":"⫖↰⪸10BA⋛⫖↰⪸1BB5=⫖↰⪸-56916","layer":3},{"info":"⫖↰⪸7096≥⨤⩑⫖↰⪸-56916=⫖↰⪸12170","layer":2},{"info":"NaN⨸⫖↰⪸12170=NaN","layer":1},{"info":"⨆≐≲NaN=⫖↰⪸-81658","layer":0}]}
{"id":971,"expression_no_base_symbol":"($3224$∝$6447$⨒(⇐$9585$))⪨⊡($2075$⪝$1017$⩵∡($3661$⩵∡$2493$))⫰⋱($7555$≒∊$6804$)↬($3910$⩉⊫⨁)⪕($4084$≹⇙⪍$4410$⊿∆)","expression":"(⫖↰⪸1A48∝⫖↰⪸3893⨒(⇐⫖↰⪸5669))⪨⊡(⫖↰⪸124B⪝⫖↰⪸709⩵∡(⫖↰⪸2151⩵∡⫖↰⪸1539))⫰⋱(⫖↰⪸4457≒∊⫖↰⪸3B30)↬(⫖↰⪸231A⩉⊫⨁)⪕(⫖↰⪸2444≹⇙⪍⫖↰⪸2676⊿∆)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":553,"operation_count":14,"complexity_ratio":39.5,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3224,"base":12},"right_expr":{"type":"numeric_atoms","value":6447,"base":12}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":9585,"base":12}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2075,"base":12},"right_expr":{"type":"numeric_atoms","value":1017,"base":12}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3661,"base":12},"right_expr":{"type":"numeric_atoms","value":2493,"base":12}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":7555,"base":12},"right_expr":{"type":"numeric_atoms","value":6804,"base":12}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":3910,"base":12}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4084,"base":12},"right_expr":{"type":"numeric_atoms","value":4410,"base":12}}}}},"used_operators":["6o9Blt3TJ6","kuIXHzHcAH","y75s1iXyHd","cTDWOvIxvz","nmZMaaE0Q9","Y7wcNGrDQJ","wicAB68Tmb","umQnsF7QlU","B5M0gjZbta","5KTvxBwnZo","7qqUquhhSb","fv3ZujxkQL","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","7j4O788W3g","W4YGzv6Whe","COABgblf1C","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","NTOWxs364D","glklzrTFfD","tifHPKVTfV","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rGHVDoGpnC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","7j4O788W3g","NTOWxs364D","dWAJyo7jo9"],"result":"⫖↰⪸29","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3224","layer":4},{"info":"number node, value=6447","layer":4},{"info":"compute binary expreesion, left_input=3224, right_input=6447, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3229","layer":3},{"info":"number node, value=9585","layer":4},{"info":"compute unary expreesion, input=9585, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=8264","layer":3},{"info":"compute binary expreesion, left_input=3229, right_input=8264, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-19002","layer":2},{"info":"number node, value=2075","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=1017, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-4631","layer":3},{"info":"number node, value=3661","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=3661, right_input=2493, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4950","layer":3},{"info":"compute binary expreesion, left_input=-4631, right_input=-4950, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=8822","layer":2},{"info":"compute binary expreesion, left_input=-19002, right_input=8822, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=7555","layer":4},{"info":"number node, value=6804","layer":4},{"info":"compute binary expreesion, left_input=7555, right_input=6804, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-7071","layer":3},{"info":"number node, value=3910","layer":4},{"info":"compute unary expreesion, input=3910, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=3910","layer":3},{"info":"compute binary expreesion, left_input=-7071, right_input=3910, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4084","layer":4},{"info":"number node, value=4410","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=4410, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=935, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1A48∝⫖↰⪸3893⨒(⇐⫖↰⪸5669))⪨⊡(⫖↰⪸124B⪝⫖↰⪸709⩵∡(⫖↰⪸2151⩵∡⫖↰⪸1539))⫰⋱(⫖↰⪸4457≒∊⫖↰⪸3B30)↬(⫖↰⪸231A⩉⊫⨁)⪕(⫖↰⪸2444≹⇙⪍⫖↰⪸2676⊿∆)=⫖↰⪸29","reverse_text":"⫖↰⪸29=(⫖↰⪸1A48∝⫖↰⪸3893⨒(⇐⫖↰⪸5669))⪨⊡(⫖↰⪸124B⪝⫖↰⪸709⩵∡(⫖↰⪸2151⩵∡⫖↰⪸1539))⫰⋱(⫖↰⪸4457≒∊⫖↰⪸3B30)↬(⫖↰⪸231A⩉⊫⨁)⪕(⫖↰⪸2444≹⇙⪍⫖↰⪸2676⊿∆)","cot":[{"info":"⫖↰⪸1A48∝⫖↰⪸3893=⫖↰⪸1A51","layer":3},{"info":"⇐⫖↰⪸5669=⫖↰⪸4948","layer":3},{"info":"⫖↰⪸1A51⨒⫖↰⪸4948=⫖↰⪸-ABB6","layer":2},{"info":"⫖↰⪸124B⪝⫖↰⪸709=⫖↰⪸-281B","layer":3},{"info":"⫖↰⪸2151⩵∡⫖↰⪸1539=⫖↰⪸-2A46","layer":3},{"info":"⫖↰⪸-281B⩵∡⫖↰⪸-2A46=⫖↰⪸5132","layer":2},{"info":"⫖↰⪸-ABB6⪨⊡⫖↰⪸5132=⫖↰⪸0","layer":1},{"info":"⫖↰⪸4457≒∊⫖↰⪸3B30=⫖↰⪸-4113","layer":3},{"info":"⫖↰⪸231A⩉⊫⨁=⫖↰⪸231A","layer":3},{"info":"⫖↰⪸-4113↬⫖↰⪸231A=NaN","layer":2},{"info":"⫖↰⪸2444≹⇙⪍⫖↰⪸2676=NaN","layer":3},{"info":"NaN⊿∆=NaN","layer":2},{"info":"NaN⪕NaN=⫖↰⪸65B","layer":1},{"info":"⫖↰⪸0⫰⋱⫖↰⪸65B=⫖↰⪸29","layer":0}]}
{"id":972,"expression_no_base_symbol":"(⫟(⩰$1001$⪚$2334$))⪡(($1469$⨭⪣$1142$)⨪↰⇹(≤/$5542$)+⇶⊼($2464$⨎$3205$)⊔($2641$⇴∐$3832$))","expression":"(⫟(⩰⫖↰⪸6B5⪚⫖↰⪸1426))⪡((⫖↰⪸A25⨭⪣⫖↰⪸7B2)⨪↰⇹(≤/⫖↰⪸325A)+⇶⊼(⫖↰⪸1514⨎⫖↰⪸1A31)⊔(⫖↰⪸1641⇴∐⫖↰⪸2274))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":343,"operation_count":11,"complexity_ratio":31.181818181818183,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1001,"base":12},"right_expr":{"type":"numeric_atoms","value":2334,"base":12}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1469,"base":12},"right_expr":{"type":"numeric_atoms","value":1142,"base":12}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5542,"base":12}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2464,"base":12},"right_expr":{"type":"numeric_atoms","value":3205,"base":12}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2641,"base":12},"right_expr":{"type":"numeric_atoms","value":3832,"base":12}}}}},"used_operators":["oraRL2iQuh","z4E1FaHLuy","WkeUrDK8WX","HrjLwUk87U","TpPTUOHfaN","tmPS8pqC7x","kn8WO9XteQ","eLAdDNolq6","E4l6HwMY31","rJVOvQCfKK","HnzytWxmAO"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","AHs5Up7iyr","rJVOvQCfKK","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⫖↰⪸15036","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2334, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-3022","layer":3},{"info":"compute unary expreesion, input=-3022, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=5044","layer":2},{"info":"compute unary expreesion, input=5044, 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=-14225","layer":1},{"info":"number node, value=1469","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=1142, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=190","layer":3},{"info":"number node, value=5542","layer":4},{"info":"compute unary expreesion, input=5542, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5058","layer":3},{"info":"compute binary expreesion, left_input=190, right_input=-5058, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=190","layer":2},{"info":"number node, value=2464","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=3205, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3205","layer":3},{"info":"number node, value=2641","layer":4},{"info":"number node, value=3832","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=3832, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3205, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=190, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14225, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=29418","layer":0}],"base":12,"result_base":12,"text":"(⫟(⩰⫖↰⪸6B5⪚⫖↰⪸1426))⪡((⫖↰⪸A25⨭⪣⫖↰⪸7B2)⨪↰⇹(≤/⫖↰⪸325A)+⇶⊼(⫖↰⪸1514⨎⫖↰⪸1A31)⊔(⫖↰⪸1641⇴∐⫖↰⪸2274))=⫖↰⪸15036","reverse_text":"⫖↰⪸15036=(⫟(⩰⫖↰⪸6B5⪚⫖↰⪸1426))⪡((⫖↰⪸A25⨭⪣⫖↰⪸7B2)⨪↰⇹(≤/⫖↰⪸325A)+⇶⊼(⫖↰⪸1514⨎⫖↰⪸1A31)⊔(⫖↰⪸1641⇴∐⫖↰⪸2274))","cot":[{"info":"⫖↰⪸6B5⪚⫖↰⪸1426=⫖↰⪸-18BA","layer":3},{"info":"⩰⫖↰⪸-18BA=⫖↰⪸2B04","layer":2},{"info":"⫟⫖↰⪸2B04=⫖↰⪸-8295","layer":1},{"info":"⫖↰⪸A25⨭⪣⫖↰⪸7B2=⫖↰⪸13A","layer":3},{"info":"≤/⫖↰⪸325A=⫖↰⪸-2B16","layer":3},{"info":"⫖↰⪸13A⨪↰⇹⫖↰⪸-2B16=⫖↰⪸13A","layer":2},{"info":"⫖↰⪸1514⨎⫖↰⪸1A31=⫖↰⪸1A31","layer":3},{"info":"⫖↰⪸1641⇴∐⫖↰⪸2274=NaN","layer":3},{"info":"⫖↰⪸1A31⊔NaN=NaN","layer":2},{"info":"⫖↰⪸13A+⇶⊼NaN=NaN","layer":1},{"info":"⫖↰⪸-8295⪡NaN=⫖↰⪸15036","layer":0}]}
{"id":973,"expression_no_base_symbol":"⫶⊄≣($4409$⫗⊷⫓$1000$⩣⫁∢($4768$⩨$1247$)⪭≯(($6938$⩵∡$1296$)⨲∙))","expression":"⫶⊄≣(⫖↰⪸2675⫗⊷⫓⫖↰⪸6B4⩣⫁∢(⫖↰⪸2914⩨⫖↰⪸87B)⪭≯((⫖↰⪸4022⩵∡⫖↰⪸900)⨲∙))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":954413,"operation_count":7,"complexity_ratio":136344.7142857143,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4409,"base":12},"right_expr":{"type":"numeric_atoms","value":1000,"base":12}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4768,"base":12},"right_expr":{"type":"numeric_atoms","value":1247,"base":12}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6938,"base":12},"right_expr":{"type":"numeric_atoms","value":1296,"base":12}}}}},"used_operators":["wxb3vTeyAj","XAx5wpdLa6","JDUIKTTSIa","zashukvMKz","2DlMacCsIx","cRahaglYVE","Y7wcNGrDQJ"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4409","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=4409, 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":3},{"info":"number node, value=4768","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=4768, right_input=1247, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=1101","layer":2},{"info":"number node, value=6938","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=6938, right_input=1296, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-12701","layer":3},{"info":"compute unary expreesion, input=-12701, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1101, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⫶⊄≣(⫖↰⪸2675⫗⊷⫓⫖↰⪸6B4⩣⫁∢(⫖↰⪸2914⩨⫖↰⪸87B)⪭≯((⫖↰⪸4022⩵∡⫖↰⪸900)⨲∙))=NaN","reverse_text":"NaN=⫶⊄≣(⫖↰⪸2675⫗⊷⫓⫖↰⪸6B4⩣⫁∢(⫖↰⪸2914⩨⫖↰⪸87B)⪭≯((⫖↰⪸4022⩵∡⫖↰⪸900)⨲∙))","cot":[{"info":"⫖↰⪸2675⫗⊷⫓⫖↰⪸6B4=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸2914⩨⫖↰⪸87B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-B2⩣⫁∢⫖↰⪸0=⫖↰⪸779","layer":2},{"info":"⫖↰⪸4022⩵∡⫖↰⪸900=⫖↰⪸-7425","layer":3},{"info":"⫖↰⪸-7425⨲∙=NaN","layer":2},{"info":"⫖↰⪸779⪭≯NaN=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"((($1797$⋥⋵⩄$2500$)⩅⪻⪻)⊟⇱)⫔⩽⩺(($7136$∁)⋅⇍($6611$-$1303$))≥⨤⩑(∂⩏⊆($2601$⇼⇔∾$7037$))","expression":"(((⫖↰⪸1059⋥⋵⩄⫖↰⪸1544)⩅⪻⪻)⊟⇱)⫔⩽⩺((⫖↰⪸4168∁)⋅⇍(⫖↰⪸39AB-⫖↰⪸907))≥⨤⩑(∂⩏⊆(⫖↰⪸1609⇼⇔∾⫖↰⪸40A5))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":191219,"operation_count":10,"complexity_ratio":19121.9,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1797,"base":12},"right_expr":{"type":"numeric_atoms","value":2500,"base":12}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":7136,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6611,"base":12},"right_expr":{"type":"numeric_atoms","value":1303,"base":12}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2601,"base":12},"right_expr":{"type":"numeric_atoms","value":7037,"base":12}}}}},"used_operators":["i9eR4S00cU","03sUfWo75k","kHoXpA7yos","7t3wd0Fuz7","gJLn6v0xnP","AdZkA7nFnk","jdwGQqwJi5","rysDP5nf3Z","8WDwsbhb0R","tifHPKVTfV"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","IWmyXbctLI","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2DDjHMKMc0","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=2500, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=1362903","layer":2},{"info":"compute unary expreesion, input=1362903, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=2726122","layer":1},{"info":"number node, value=7136","layer":4},{"info":"compute unary expreesion, input=7136, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=7136","layer":3},{"info":"number node, value=6611","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=6611, right_input=1303, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5308","layer":3},{"info":"compute binary expreesion, left_input=7136, right_input=5308, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=2601","layer":4},{"info":"number node, value=7037","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=7037, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4436","layer":3},{"info":"compute unary expreesion, input=4436, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-13387","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-13387, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=-44","layer":1},{"info":"compute binary expreesion, left_input=2726122, right_input=-44, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(((⫖↰⪸1059⋥⋵⩄⫖↰⪸1544)⩅⪻⪻)⊟⇱)⫔⩽⩺((⫖↰⪸4168∁)⋅⇍(⫖↰⪸39AB-⫖↰⪸907))≥⨤⩑(∂⩏⊆(⫖↰⪸1609⇼⇔∾⫖↰⪸40A5))=NaN","reverse_text":"NaN=(((⫖↰⪸1059⋥⋵⩄⫖↰⪸1544)⩅⪻⪻)⊟⇱)⫔⩽⩺((⫖↰⪸4168∁)⋅⇍(⫖↰⪸39AB-⫖↰⪸907))≥⨤⩑(∂⩏⊆(⫖↰⪸1609⇼⇔∾⫖↰⪸40A5))","cot":[{"info":"⫖↰⪸1059⋥⋵⩄⫖↰⪸1544=⫖↰⪸95","layer":3},{"info":"⫖↰⪸95⩅⪻⪻=⫖↰⪸558873","layer":2},{"info":"⫖↰⪸558873⊟⇱=⫖↰⪸AB574A","layer":1},{"info":"⫖↰⪸4168∁=⫖↰⪸4168","layer":3},{"info":"⫖↰⪸39AB-⫖↰⪸907=⫖↰⪸30A4","layer":3},{"info":"⫖↰⪸4168⋅⇍⫖↰⪸30A4=⫖↰⪸-1A","layer":2},{"info":"⫖↰⪸1609⇼⇔∾⫖↰⪸40A5=⫖↰⪸2698","layer":3},{"info":"∂⩏⊆⫖↰⪸2698=⫖↰⪸-78B7","layer":2},{"info":"⫖↰⪸-1A≥⨤⩑⫖↰⪸-78B7=⫖↰⪸-38","layer":1},{"info":"⫖↰⪸AB574A⫔⩽⩺⫖↰⪸-38=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"((∓$3215$)⪪($1943$⫸⇳$2876$)⋝⋈⪟((≸≮$1550$)⋻⩜⩜$2588$⨑⩅≇$3274$))∇⊂⋱($4798$∊∟⩊$1114$)⫗⊷⫓($1808$↸$1411$)∌(($1314$⋩≍≻)≒∊$5611$⫉⨲⊜$5793$)","expression":"((∓⫖↰⪸1A3B)⪪(⫖↰⪸115B⫸⇳⫖↰⪸17B8)⋝⋈⪟((≸≮⫖↰⪸A92)⋻⩜⩜⫖↰⪸15B8⨑⩅≇⫖↰⪸1A8A))∇⊂⋱(⫖↰⪸293A∊∟⩊⫖↰⪸78A)⫗⊷⫓(⫖↰⪸1068↸⫖↰⪸997)∌((⫖↰⪸916⋩≍≻)≒∊⫖↰⪸32B7⫉⨲⊜⫖↰⪸3429)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1527951,"operation_count":15,"complexity_ratio":101863.4,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3215,"base":12}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1943,"base":12},"right_expr":{"type":"numeric_atoms","value":2876,"base":12}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1550,"base":12}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2588,"base":12},"right_expr":{"type":"numeric_atoms","value":3274,"base":12}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4798,"base":12},"right_expr":{"type":"numeric_atoms","value":1114,"base":12}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1808,"base":12},"right_expr":{"type":"numeric_atoms","value":1411,"base":12}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1314,"base":12}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5611,"base":12},"right_expr":{"type":"numeric_atoms","value":5793,"base":12}}}}},"used_operators":["nhYeJWJD5X","2DDjHMKMc0","xD69zh8xqp","OwUj7dcsQK","gx7XJ7hdpj","oDCm7WA9JY","AljMvE3RRm","h92wMvzauj","8cLx32lpNA","zashukvMKz","ddLRYrp01A","1eCjFl0mb9","5KTvxBwnZo","WYd1w68Nbz","WhqkvtTD3t"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3215","layer":4},{"info":"compute unary expreesion, input=3215, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-53097","layer":3},{"info":"number node, value=1943","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=2876, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-53097, right_input=0, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=2588","layer":4},{"info":"number node, value=3274","layer":4},{"info":"compute binary expreesion, left_input=2588, right_input=3274, 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=-7764","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7764, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=4798","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=4798, right_input=1114, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1114","layer":3},{"info":"number node, value=1808","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=1808, right_input=1411, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1808","layer":3},{"info":"compute binary expreesion, left_input=1114, right_input=1808, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=5611","layer":4},{"info":"number node, value=5793","layer":4},{"info":"compute binary expreesion, left_input=5611, right_input=5793, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=539","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=539, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"((∓⫖↰⪸1A3B)⪪(⫖↰⪸115B⫸⇳⫖↰⪸17B8)⋝⋈⪟((≸≮⫖↰⪸A92)⋻⩜⩜⫖↰⪸15B8⨑⩅≇⫖↰⪸1A8A))∇⊂⋱(⫖↰⪸293A∊∟⩊⫖↰⪸78A)⫗⊷⫓(⫖↰⪸1068↸⫖↰⪸997)∌((⫖↰⪸916⋩≍≻)≒∊⫖↰⪸32B7⫉⨲⊜⫖↰⪸3429)=NaN","reverse_text":"NaN=((∓⫖↰⪸1A3B)⪪(⫖↰⪸115B⫸⇳⫖↰⪸17B8)⋝⋈⪟((≸≮⫖↰⪸A92)⋻⩜⩜⫖↰⪸15B8⨑⩅≇⫖↰⪸1A8A))∇⊂⋱(⫖↰⪸293A∊∟⩊⫖↰⪸78A)⫗⊷⫓(⫖↰⪸1068↸⫖↰⪸997)∌((⫖↰⪸916⋩≍≻)≒∊⫖↰⪸32B7⫉⨲⊜⫖↰⪸3429)","cot":[{"info":"∓⫖↰⪸1A3B=⫖↰⪸-26889","layer":3},{"info":"⫖↰⪸115B⫸⇳⫖↰⪸17B8=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-26889⪪⫖↰⪸0=⫖↰⪸-3712","layer":2},{"info":"≸≮⫖↰⪸A92=NaN","layer":3},{"info":"⫖↰⪸15B8⨑⩅≇⫖↰⪸1A8A=⫖↰⪸-45B0","layer":3},{"info":"NaN⋻⩜⩜⫖↰⪸-45B0=NaN","layer":2},{"info":"⫖↰⪸-3712⋝⋈⪟NaN=NaN","layer":1},{"info":"⫖↰⪸293A∊∟⩊⫖↰⪸78A=⫖↰⪸78A","layer":3},{"info":"⫖↰⪸1068↸⫖↰⪸997=⫖↰⪸1068","layer":3},{"info":"⫖↰⪸78A⫗⊷⫓⫖↰⪸1068=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸916⋩≍≻=⫖↰⪸-47","layer":3},{"info":"⫖↰⪸32B7⫉⨲⊜⫖↰⪸3429=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-47≒∊⫖↰⪸0=⫖↰⪸38B","layer":2},{"info":"⫖↰⪸-B2∌⫖↰⪸38B=⫖↰⪸-B2","layer":1},{"info":"NaN∇⊂⋱⫖↰⪸-B2=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"(⪲⇎($3738$⨘⋶⪀))⫯⪬∳(⨈⪑($2736$⪉⨛$1488$))⊉↱≁(($1182$≁↽≥$1249$⊭↱(⊿$1485$))⊋($2402$↞⋁$7618$∀⋜↑))","expression":"(⪲⇎(⫖↰⪸21B6⨘⋶⪀))⫯⪬∳(⨈⪑(⫖↰⪸1700⪉⨛⫖↰⪸A40))⊉↱≁((⫖↰⪸826≁↽≥⫖↰⪸881⊭↱(⊿⫖↰⪸A39))⊋(⫖↰⪸1482↞⋁⫖↰⪸44AA∀⋜↑))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":488,"operation_count":12,"complexity_ratio":40.666666666666664,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":3738,"base":12}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2736,"base":12},"right_expr":{"type":"numeric_atoms","value":1488,"base":12}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1182,"base":12},"right_expr":{"type":"numeric_atoms","value":1249,"base":12}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1485,"base":12}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2402,"base":12},"right_expr":{"type":"numeric_atoms","value":7618,"base":12}}}}},"used_operators":["w2P8NbNXyL","d7ASUq0ydm","XPYlsWDdGa","XVKwrhznBb","mp94q5OcYM","EWw2JM7wp4","W4tP9CfskL","COABgblf1C","ncHt1X6cMc","DO4fhlbJSI","KipPnG1M2J","RqrPlJkxDo"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3738","layer":4},{"info":"compute unary expreesion, input=3738, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=2736","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=1488, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6935","layer":3},{"info":"compute unary expreesion, input=6935, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"number node, value=1182","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=1249, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=22712","layer":3},{"info":"number node, value=1485","layer":4},{"info":"compute unary expreesion, input=1485, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-6678","layer":3},{"info":"compute binary expreesion, left_input=22712, right_input=-6678, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-58775","layer":2},{"info":"number node, value=2402","layer":4},{"info":"number node, value=7618","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=7618, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-58775, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪲⇎(⫖↰⪸21B6⨘⋶⪀))⫯⪬∳(⨈⪑(⫖↰⪸1700⪉⨛⫖↰⪸A40))⊉↱≁((⫖↰⪸826≁↽≥⫖↰⪸881⊭↱(⊿⫖↰⪸A39))⊋(⫖↰⪸1482↞⋁⫖↰⪸44AA∀⋜↑))=NaN","reverse_text":"NaN=(⪲⇎(⫖↰⪸21B6⨘⋶⪀))⫯⪬∳(⨈⪑(⫖↰⪸1700⪉⨛⫖↰⪸A40))⊉↱≁((⫖↰⪸826≁↽≥⫖↰⪸881⊭↱(⊿⫖↰⪸A39))⊋(⫖↰⪸1482↞⋁⫖↰⪸44AA∀⋜↑))","cot":[{"info":"⫖↰⪸21B6⨘⋶⪀=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⫖↰⪸1700⪉⨛⫖↰⪸A40=⫖↰⪸401B","layer":3},{"info":"⨈⪑⫖↰⪸401B=⫖↰⪸604","layer":2},{"info":"NaN⫯⪬∳⫖↰⪸604=NaN","layer":1},{"info":"⫖↰⪸826≁↽≥⫖↰⪸881=⫖↰⪸11188","layer":3},{"info":"⊿⫖↰⪸A39=⫖↰⪸-3A46","layer":3},{"info":"⫖↰⪸11188⊭↱⫖↰⪸-3A46=⫖↰⪸-2A01B","layer":2},{"info":"⫖↰⪸1482↞⋁⫖↰⪸44AA=NaN","layer":3},{"info":"NaN∀⋜↑=NaN","layer":2},{"info":"⫖↰⪸-2A01B⊋NaN=NaN","layer":1},{"info":"NaN⊉↱≁NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"($1763$⫗⊷⫓$1787$≄⊠(↑$3918$)⩎⪣⊞)↦","expression":"(⫖↰⪸102B⫗⊷⫓⫖↰⪸104B≄⊠(↑⫖↰⪸2326)⩎⪣⊞)↦","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1632932,"operation_count":5,"complexity_ratio":326586.4,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1763,"base":12},"right_expr":{"type":"numeric_atoms","value":1787,"base":12}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3918,"base":12}}}}},"used_operators":["fFznvYxMfW","waWucp1uQ4","vXNesLlMH1","zashukvMKz","tR7O2zTn5j"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","mp7IySMOzn","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=1787, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=3918","layer":4},{"info":"compute unary expreesion, input=3918, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=192, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=3000","layer":1},{"info":"compute unary expreesion, input=3000, 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":12,"result_base":12,"text":"(⫖↰⪸102B⫗⊷⫓⫖↰⪸104B≄⊠(↑⫖↰⪸2326)⩎⪣⊞)↦=NaN","reverse_text":"NaN=(⫖↰⪸102B⫗⊷⫓⫖↰⪸104B≄⊠(↑⫖↰⪸2326)⩎⪣⊞)↦","cot":[{"info":"⫖↰⪸102B⫗⊷⫓⫖↰⪸104B=⫖↰⪸-B2","layer":3},{"info":"↑⫖↰⪸2326=⫖↰⪸140","layer":3},{"info":"⫖↰⪸-B2≄⊠⫖↰⪸140=⫖↰⪸A50","layer":2},{"info":"⫖↰⪸A50⩎⪣⊞=⫖↰⪸18A0","layer":1},{"info":"⫖↰⪸18A0↦=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"(⨭⩧⫛$1522$)⊉↱≁($6668$⩒⫫$8380$)⪚$7686$⫗⊷⫓$1913$⨽∌($4091$⫔⩽⩺$2943$)⨔≚≋(($5749$⫰⋱$5878$)⪭≯(⋃$1636$))⇷$4449$⇤$1164$⊉↱≁($2870$≚⊃≕$2690$)","expression":"(⨭⩧⫛⫖↰⪸A6A)⊉↱≁(⫖↰⪸3A38⩒⫫⫖↰⪸4A24)⪚⫖↰⪸4546⫗⊷⫓⫖↰⪸1135⨽∌(⫖↰⪸244B⫔⩽⩺⫖↰⪸1853)⨔≚≋((⫖↰⪸33B1⫰⋱⫖↰⪸349A)⪭≯(⋃⫖↰⪸B44))⇷⫖↰⪸26A9⇤⫖↰⪸810⊉↱≁(⫖↰⪸17B2≚⊃≕⫖↰⪸1682)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1492362,"operation_count":15,"complexity_ratio":99490.8,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1522,"base":12}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":6668,"base":12},"right_expr":{"type":"numeric_atoms","value":8380,"base":12}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7686,"base":12},"right_expr":{"type":"numeric_atoms","value":1913,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4091,"base":12},"right_expr":{"type":"numeric_atoms","value":2943,"base":12}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5749,"base":12},"right_expr":{"type":"numeric_atoms","value":5878,"base":12}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1636,"base":12}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4449,"base":12},"right_expr":{"type":"numeric_atoms","value":1164,"base":12}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2870,"base":12},"right_expr":{"type":"numeric_atoms","value":2690,"base":12}}}}},"used_operators":["Z57zeUYC9z","HrjLwUk87U","w2P8NbNXyL","g21JL6JxX7","KFSx94NKJn","9samAPKr6k","zashukvMKz","i9eR4S00cU","mp7IySMOzn","XAx5wpdLa6","6o9Blt3TJ6","3mBM5G4a3l","YSKBFp38Pu","Bmrmz2XGnR"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Tw270M8GLb","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g55IO6H4Gj","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1522","layer":4},{"info":"compute unary expreesion, input=1522, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=6668","layer":4},{"info":"number node, value=8380","layer":4},{"info":"compute binary expreesion, left_input=6668, right_input=8380, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=6366","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6366, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=7686","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=7686, right_input=1913, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=4091","layer":4},{"info":"number node, value=2943","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=2943, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=5749","layer":4},{"info":"number node, value=5878","layer":4},{"info":"compute binary expreesion, left_input=5749, right_input=5878, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5716","layer":3},{"info":"number node, value=1636","layer":4},{"info":"compute unary expreesion, input=1636, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3374","layer":3},{"info":"compute binary expreesion, left_input=-5716, right_input=3374, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=4449","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=4449, right_input=1164, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-25217","layer":3},{"info":"number node, value=2870","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=2690, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-25217, right_input=67, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-253686","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-253686, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨭⩧⫛⫖↰⪸A6A)⊉↱≁(⫖↰⪸3A38⩒⫫⫖↰⪸4A24)⪚⫖↰⪸4546⫗⊷⫓⫖↰⪸1135⨽∌(⫖↰⪸244B⫔⩽⩺⫖↰⪸1853)⨔≚≋((⫖↰⪸33B1⫰⋱⫖↰⪸349A)⪭≯(⋃⫖↰⪸B44))⇷⫖↰⪸26A9⇤⫖↰⪸810⊉↱≁(⫖↰⪸17B2≚⊃≕⫖↰⪸1682)=NaN","reverse_text":"NaN=(⨭⩧⫛⫖↰⪸A6A)⊉↱≁(⫖↰⪸3A38⩒⫫⫖↰⪸4A24)⪚⫖↰⪸4546⫗⊷⫓⫖↰⪸1135⨽∌(⫖↰⪸244B⫔⩽⩺⫖↰⪸1853)⨔≚≋((⫖↰⪸33B1⫰⋱⫖↰⪸349A)⪭≯(⋃⫖↰⪸B44))⇷⫖↰⪸26A9⇤⫖↰⪸810⊉↱≁(⫖↰⪸17B2≚⊃≕⫖↰⪸1682)","cot":[{"info":"⨭⩧⫛⫖↰⪸A6A=NaN","layer":3},{"info":"⫖↰⪸3A38⩒⫫⫖↰⪸4A24=⫖↰⪸3826","layer":3},{"info":"NaN⊉↱≁⫖↰⪸3826=NaN","layer":2},{"info":"⫖↰⪸4546⫗⊷⫓⫖↰⪸1135=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸244B⫔⩽⩺⫖↰⪸1853=NaN","layer":3},{"info":"⫖↰⪸-B2⨽∌NaN=NaN","layer":2},{"info":"NaN⪚NaN=NaN","layer":1},{"info":"⫖↰⪸33B1⫰⋱⫖↰⪸349A=⫖↰⪸-3384","layer":3},{"info":"⋃⫖↰⪸B44=⫖↰⪸1B52","layer":3},{"info":"⫖↰⪸-3384⪭≯⫖↰⪸1B52=NaN","layer":2},{"info":"⫖↰⪸26A9⇤⫖↰⪸810=⫖↰⪸-12715","layer":3},{"info":"⫖↰⪸17B2≚⊃≕⫖↰⪸1682=⫖↰⪸57","layer":3},{"info":"⫖↰⪸-12715⊉↱≁⫖↰⪸57=⫖↰⪸-102986","layer":2},{"info":"NaN⇷⫖↰⪸-102986=NaN","layer":1},{"info":"NaN⨔≚≋NaN=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"(($1247$⇍⊗$1681$)⨲)⫞⩸⩒(($1188$⫩⊇)⨁⊸⫻)⋷($2936$⨜⨶$2928$)⩦(≑⋹$1361$)⋅⇍(⩎⋉(↥$1082$))","expression":"((⫖↰⪸87B⇍⊗⫖↰⪸B81)⨲)⫞⩸⩒((⫖↰⪸830⫩⊇)⨁⊸⫻)⋷(⫖↰⪸1848⨜⨶⫖↰⪸1840)⩦(≑⋹⫖↰⪸955)⋅⇍(⩎⋉(↥⫖↰⪸762))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5740,"operation_count":12,"complexity_ratio":478.3333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1247,"base":12},"right_expr":{"type":"numeric_atoms","value":1681,"base":12}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1188,"base":12}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2936,"base":12},"right_expr":{"type":"numeric_atoms","value":2928,"base":12}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1361,"base":12}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1082,"base":12}}}}},"used_operators":["23Mk6UjR3U","XGcMNugi78","nLYMGWM7L8","5uvYHDjeKN","glklzrTFfD","BjRHVeLaeN","AdZkA7nFnk","0kmYd0q39Y","HiPekx5b7W","6B9nyZLogK","FlXk3pOYe8","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","k8jYdgA6NY"],"result":"⫖↰⪸-169A609","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=1681, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1146","layer":3},{"info":"compute unary expreesion, input=-1146, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-2292","layer":2},{"info":"compute binary expreesion, left_input=4683709, right_input=-2292, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4683709","layer":1},{"info":"number node, value=2936","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=2928, 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=-5600","layer":3},{"info":"number node, value=1361","layer":4},{"info":"compute unary expreesion, input=1361, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-5600, right_input=1650, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-63563","layer":2},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute unary expreesion, input=11, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-63563, right_input=67, 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=4683709, right_input=-22, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4683753","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸87B⇍⊗⫖↰⪸B81)⨲)⫞⩸⩒((⫖↰⪸830⫩⊇)⨁⊸⫻)⋷(⫖↰⪸1848⨜⨶⫖↰⪸1840)⩦(≑⋹⫖↰⪸955)⋅⇍(⩎⋉(↥⫖↰⪸762))=⫖↰⪸-169A609","reverse_text":"⫖↰⪸-169A609=((⫖↰⪸87B⇍⊗⫖↰⪸B81)⨲)⫞⩸⩒((⫖↰⪸830⫩⊇)⨁⊸⫻)⋷(⫖↰⪸1848⨜⨶⫖↰⪸1840)⩦(≑⋹⫖↰⪸955)⋅⇍(⩎⋉(↥⫖↰⪸762))","cot":[{"info":"⫖↰⪸87B⇍⊗⫖↰⪸B81=⫖↰⪸-184","layer":3},{"info":"⫖↰⪸-184⨲=⫖↰⪸169A591","layer":2},{"info":"⫖↰⪸830⫩⊇=⫖↰⪸-7B6","layer":3},{"info":"⫖↰⪸-7B6⨁⊸⫻=⫖↰⪸-13B0","layer":2},{"info":"⫖↰⪸169A591⫞⩸⩒⫖↰⪸-13B0=⫖↰⪸169A591","layer":1},{"info":"⫖↰⪸1848⨜⨶⫖↰⪸1840=⫖↰⪸-32A8","layer":3},{"info":"≑⋹⫖↰⪸955=⫖↰⪸B56","layer":3},{"info":"⫖↰⪸-32A8⩦⫖↰⪸B56=⫖↰⪸-3094B","layer":2},{"info":"↥⫖↰⪸762=⫖↰⪸B","layer":3},{"info":"⩎⋉⫖↰⪸B=⫖↰⪸57","layer":2},{"info":"⫖↰⪸-3094B⋅⇍⫖↰⪸57=⫖↰⪸-1A","layer":1},{"info":"⫖↰⪸169A591⋷⫖↰⪸-1A=⫖↰⪸-169A609","layer":0}]}
{"id":980,"expression_no_base_symbol":"(⫛⫱⨽($4286$⊭↱$8805$))⨰(($6308$≃$3226$)⋝⋈⪟$3226$⇂≾⫗$1741$)∪⫐(($2928$↡⊰⫅$2347$)⫗⊷⫓($5836$⋥≓≎$1786$)+$1448$≹⇙⪍$1355$⨐⩸⫘$6197$⩦$7797$)","expression":"(⫛⫱⨽(⫖↰⪸2592⊭↱⫖↰⪸5119))⨰((⫖↰⪸3798≃⫖↰⪸1A4A)⋝⋈⪟⫖↰⪸1A4A⇂≾⫗⫖↰⪸1011)∪⫐((⫖↰⪸1840↡⊰⫅⫖↰⪸1437)⫗⊷⫓(⫖↰⪸3464⋥≓≎⫖↰⪸104A)+⫖↰⪸A08≹⇙⪍⫖↰⪸94B⨐⩸⫘⫖↰⪸3705⩦⫖↰⪸4619)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1768626,"operation_count":14,"complexity_ratio":126330.42857142857,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4286,"base":12},"right_expr":{"type":"numeric_atoms","value":8805,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6308,"base":12},"right_expr":{"type":"numeric_atoms","value":3226,"base":12}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3226,"base":12},"right_expr":{"type":"numeric_atoms","value":1741,"base":12}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2928,"base":12},"right_expr":{"type":"numeric_atoms","value":2347,"base":12}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5836,"base":12},"right_expr":{"type":"numeric_atoms","value":1786,"base":12}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1448,"base":12},"right_expr":{"type":"numeric_atoms","value":1355,"base":12}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6197,"base":12},"right_expr":{"type":"numeric_atoms","value":7797,"base":12}}}}},"used_operators":["7YooWSwCyH","eewbuw0ToL","DlLNRPXxWL","COABgblf1C","2DDjHMKMc0","YbVcJGFEVW","aBQ6xLxuTc","W4YGzv6Whe","zashukvMKz","VCtxkLNOzz","Qy55tPpLXF","fu6greOZ01","AHs5Up7iyr","0kmYd0q39Y"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⫖↰⪸1276A","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4286","layer":4},{"info":"number node, value=8805","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=8805, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9043","layer":3},{"info":"compute unary expreesion, input=9043, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=6308","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=6308, right_input=3226, 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=-25272","layer":3},{"info":"number node, value=3226","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=3226, right_input=1741, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-25272, right_input=-676, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-25272","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-25272, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=25282","layer":1},{"info":"number node, value=2928","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=2347, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4694","layer":3},{"info":"number node, value=5836","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=1786, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2231","layer":3},{"info":"compute binary expreesion, left_input=4694, right_input=-2231, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1448","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=1355, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6197","layer":4},{"info":"number node, value=7797","layer":4},{"info":"compute binary expreesion, left_input=6197, right_input=7797, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=12394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12394, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=25282, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=25282","layer":0}],"base":12,"result_base":12,"text":"(⫛⫱⨽(⫖↰⪸2592⊭↱⫖↰⪸5119))⨰((⫖↰⪸3798≃⫖↰⪸1A4A)⋝⋈⪟⫖↰⪸1A4A⇂≾⫗⫖↰⪸1011)∪⫐((⫖↰⪸1840↡⊰⫅⫖↰⪸1437)⫗⊷⫓(⫖↰⪸3464⋥≓≎⫖↰⪸104A)+⫖↰⪸A08≹⇙⪍⫖↰⪸94B⨐⩸⫘⫖↰⪸3705⩦⫖↰⪸4619)=⫖↰⪸1276A","reverse_text":"⫖↰⪸1276A=(⫛⫱⨽(⫖↰⪸2592⊭↱⫖↰⪸5119))⨰((⫖↰⪸3798≃⫖↰⪸1A4A)⋝⋈⪟⫖↰⪸1A4A⇂≾⫗⫖↰⪸1011)∪⫐((⫖↰⪸1840↡⊰⫅⫖↰⪸1437)⫗⊷⫓(⫖↰⪸3464⋥≓≎⫖↰⪸104A)+⫖↰⪸A08≹⇙⪍⫖↰⪸94B⨐⩸⫘⫖↰⪸3705⩦⫖↰⪸4619)","cot":[{"info":"⫖↰⪸2592⊭↱⫖↰⪸5119=⫖↰⪸5297","layer":3},{"info":"⫛⫱⨽⫖↰⪸5297=⫖↰⪸0","layer":2},{"info":"⫖↰⪸3798≃⫖↰⪸1A4A=⫖↰⪸-12760","layer":3},{"info":"⫖↰⪸1A4A⇂≾⫗⫖↰⪸1011=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸-12760⋝⋈⪟⫖↰⪸-484=⫖↰⪸-12760","layer":2},{"info":"⫖↰⪸0⨰⫖↰⪸-12760=⫖↰⪸1276A","layer":1},{"info":"⫖↰⪸1840↡⊰⫅⫖↰⪸1437=⫖↰⪸2872","layer":3},{"info":"⫖↰⪸3464⋥≓≎⫖↰⪸104A=⫖↰⪸-135B","layer":3},{"info":"⫖↰⪸2872⫗⊷⫓⫖↰⪸-135B=⫖↰⪸-B2","layer":2},{"info":"⫖↰⪸A08≹⇙⪍⫖↰⪸94B=NaN","layer":3},{"info":"⫖↰⪸3705⩦⫖↰⪸4619=⫖↰⪸720A","layer":3},{"info":"NaN⨐⩸⫘⫖↰⪸720A=NaN","layer":2},{"info":"⫖↰⪸-B2+NaN=NaN","layer":1},{"info":"⫖↰⪸1276A∪⫐NaN=⫖↰⪸1276A","layer":0}]}
{"id":981,"expression_no_base_symbol":"($3593$⩌⋺$1012$≨($1759$⨎$1973$)%$2019$⫗⊷⫓$2744$⇼⇔∾$1481$⪨⊡$1595$)∊∟⩊(⋠∜($1431$⊨$1170$⇼⇔∾$6274$⊋$1109$))","expression":"(⫖↰⪸20B5⩌⋺⫖↰⪸704≨(⫖↰⪸1027⨎⫖↰⪸1185)%⫖↰⪸1203⫗⊷⫓⫖↰⪸1708⇼⇔∾⫖↰⪸A35⪨⊡⫖↰⪸B0B)∊∟⩊(⋠∜(⫖↰⪸9B3⊨⫖↰⪸816⇼⇔∾⫖↰⪸376A⊋⫖↰⪸785))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2164746,"operation_count":12,"complexity_ratio":180395.5,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3593,"base":12},"right_expr":{"type":"numeric_atoms","value":1012,"base":12}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1759,"base":12},"right_expr":{"type":"numeric_atoms","value":1973,"base":12}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2019,"base":12},"right_expr":{"type":"numeric_atoms","value":2744,"base":12}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1481,"base":12},"right_expr":{"type":"numeric_atoms","value":1595,"base":12}}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1431,"base":12},"right_expr":{"type":"numeric_atoms","value":1170,"base":12}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6274,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}}}}},"used_operators":["ddLRYrp01A","k8jYdgA6NY","0KMCeP1Jsh","g7Hmc5v1ko","rJVOvQCfKK","tifHPKVTfV","zashukvMKz","kuIXHzHcAH","ZJpFhNJr3x","vg4gO5BX6G","W4tP9CfskL"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⫖↰⪸49426740","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3593","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=3593, right_input=1012, 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=-4726","layer":3},{"info":"number node, value=1759","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=1973, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1973","layer":3},{"info":"compute binary expreesion, left_input=-4726, right_input=1973, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=10108","layer":2},{"info":"number node, value=2019","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=2744, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1595, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=134","layer":2},{"info":"compute binary expreesion, left_input=10108, right_input=134, op_id = k8jYdgA6NY binary_op_definition= 'None', output=58","layer":1},{"info":"number node, value=1431","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=1170, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6755","layer":3},{"info":"number node, value=6274","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=1109, 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=42818512","layer":3},{"info":"compute binary expreesion, left_input=6755, right_input=42818512, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=42811757","layer":2},{"info":"compute unary expreesion, input=42811757, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=171249312","layer":1},{"info":"compute binary expreesion, left_input=58, right_input=171249312, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=171249312","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸20B5⩌⋺⫖↰⪸704≨(⫖↰⪸1027⨎⫖↰⪸1185)%⫖↰⪸1203⫗⊷⫓⫖↰⪸1708⇼⇔∾⫖↰⪸A35⪨⊡⫖↰⪸B0B)∊∟⩊(⋠∜(⫖↰⪸9B3⊨⫖↰⪸816⇼⇔∾⫖↰⪸376A⊋⫖↰⪸785))=⫖↰⪸49426740","reverse_text":"⫖↰⪸49426740=(⫖↰⪸20B5⩌⋺⫖↰⪸704≨(⫖↰⪸1027⨎⫖↰⪸1185)%⫖↰⪸1203⫗⊷⫓⫖↰⪸1708⇼⇔∾⫖↰⪸A35⪨⊡⫖↰⪸B0B)∊∟⩊(⋠∜(⫖↰⪸9B3⊨⫖↰⪸816⇼⇔∾⫖↰⪸376A⊋⫖↰⪸785))","cot":[{"info":"⫖↰⪸20B5⩌⋺⫖↰⪸704=⫖↰⪸-289A","layer":3},{"info":"⫖↰⪸1027⨎⫖↰⪸1185=⫖↰⪸1185","layer":3},{"info":"⫖↰⪸-289A≨⫖↰⪸1185=⫖↰⪸5A24","layer":2},{"info":"⫖↰⪸1203⫗⊷⫓⫖↰⪸1708=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸A35⪨⊡⫖↰⪸B0B=⫖↰⪸0","layer":3},{"info":"⫖↰⪸-B2⇼⇔∾⫖↰⪸0=⫖↰⪸B2","layer":2},{"info":"⫖↰⪸5A24%⫖↰⪸B2=⫖↰⪸4A","layer":1},{"info":"⫖↰⪸9B3⊨⫖↰⪸816=⫖↰⪸3AAB","layer":3},{"info":"⫖↰⪸376A⊋⫖↰⪸785=⫖↰⪸1240B294","layer":3},{"info":"⫖↰⪸3AAB⇼⇔∾⫖↰⪸1240B294=⫖↰⪸124073A5","layer":2},{"info":"⋠∜⫖↰⪸124073A5=⫖↰⪸49426740","layer":1},{"info":"⫖↰⪸4A∊∟⩊⫖↰⪸49426740=⫖↰⪸49426740","layer":0}]}
{"id":982,"expression_no_base_symbol":"(($3650$⫰⋱$1511$)⇄($1324$⫔⩽⩺$1143$))⊱⇼⊻(∤↝$7536$≁↽≥$2041$)⪘⫢($2164$⋳⪒$4906$≋⫹)⨚($9328$⨐$1964$⪡$3426$⊝⪿⪼$1102$)","expression":"((⫖↰⪸2142⫰⋱⫖↰⪸A5B)⇄(⫖↰⪸924⫔⩽⩺⫖↰⪸7B3))⊱⇼⊻(∤↝⫖↰⪸4440≁↽≥⫖↰⪸1221)⪘⫢(⫖↰⪸1304⋳⪒⫖↰⪸2A0A≋⫹)⨚(⫖↰⪸5494⨐⫖↰⪸1178⪡⫖↰⪸1B96⊝⪿⪼⫖↰⪸77A)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":146,"operation_count":13,"complexity_ratio":11.23076923076923,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3650,"base":12},"right_expr":{"type":"numeric_atoms","value":1511,"base":12}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1324,"base":12},"right_expr":{"type":"numeric_atoms","value":1143,"base":12}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":7536,"base":12},"right_expr":{"type":"numeric_atoms","value":2041,"base":12}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2164,"base":12},"right_expr":{"type":"numeric_atoms","value":4906,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":9328,"base":12},"right_expr":{"type":"numeric_atoms","value":1964,"base":12}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3426,"base":12},"right_expr":{"type":"numeric_atoms","value":1102,"base":12}}}}},"used_operators":["oacrs7FA3X","FyVja0WsTP","3EYGwJThht","6o9Blt3TJ6","i9eR4S00cU","3UMq87Qwqg","ncHt1X6cMc","nREPSIbpBE","N41Kp7NANJ","12rbrZMWeM","oraRL2iQuh","Noe24qw2ks","3Oe9XWJUTD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Tw270M8GLb","fu6greOZ01","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","oWn0xqSxBt","3Oe9XWJUTD","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3650","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=1511, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3617","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=1143, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3617, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"number node, value=7536","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=7536, right_input=2041, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=103730","layer":3},{"info":"compute unary expreesion, input=103730, 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=103730","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=103730, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"number node, value=2164","layer":4},{"info":"number node, value=4906","layer":4},{"info":"compute binary expreesion, left_input=2164, right_input=4906, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-865","layer":3},{"info":"compute unary expreesion, input=-865, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=1730","layer":2},{"info":"number node, value=9328","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=9328, right_input=1964, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-18656","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=1102, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=52178","layer":3},{"info":"compute binary expreesion, left_input=-18656, right_input=52178, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=38280","layer":2},{"info":"compute binary expreesion, left_input=1730, right_input=38280, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-148726","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-148726, 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":12,"result_base":12,"text":"((⫖↰⪸2142⫰⋱⫖↰⪸A5B)⇄(⫖↰⪸924⫔⩽⩺⫖↰⪸7B3))⊱⇼⊻(∤↝⫖↰⪸4440≁↽≥⫖↰⪸1221)⪘⫢(⫖↰⪸1304⋳⪒⫖↰⪸2A0A≋⫹)⨚(⫖↰⪸5494⨐⫖↰⪸1178⪡⫖↰⪸1B96⊝⪿⪼⫖↰⪸77A)=NaN","reverse_text":"NaN=((⫖↰⪸2142⫰⋱⫖↰⪸A5B)⇄(⫖↰⪸924⫔⩽⩺⫖↰⪸7B3))⊱⇼⊻(∤↝⫖↰⪸4440≁↽≥⫖↰⪸1221)⪘⫢(⫖↰⪸1304⋳⪒⫖↰⪸2A0A≋⫹)⨚(⫖↰⪸5494⨐⫖↰⪸1178⪡⫖↰⪸1B96⊝⪿⪼⫖↰⪸77A)","cot":[{"info":"⫖↰⪸2142⫰⋱⫖↰⪸A5B=⫖↰⪸-2115","layer":3},{"info":"⫖↰⪸924⫔⩽⩺⫖↰⪸7B3=NaN","layer":3},{"info":"⫖↰⪸-2115⇄NaN=NaN","layer":2},{"info":"⫖↰⪸4440≁↽≥⫖↰⪸1221=⫖↰⪸50042","layer":3},{"info":"∤↝⫖↰⪸50042=⫖↰⪸50042","layer":2},{"info":"NaN⊱⇼⊻⫖↰⪸50042=NaN","layer":1},{"info":"⫖↰⪸1304⋳⪒⫖↰⪸2A0A=⫖↰⪸-601","layer":3},{"info":"⫖↰⪸-601≋⫹=⫖↰⪸1002","layer":2},{"info":"⫖↰⪸5494⨐⫖↰⪸1178=⫖↰⪸-A968","layer":3},{"info":"⫖↰⪸1B96⊝⪿⪼⫖↰⪸77A=⫖↰⪸26242","layer":3},{"info":"⫖↰⪸-A968⪡⫖↰⪸26242=⫖↰⪸1A1A0","layer":2},{"info":"⫖↰⪸1002⨚⫖↰⪸1A1A0=⫖↰⪸-7209A","layer":1},{"info":"NaN⪘⫢⫖↰⪸-7209A=NaN","layer":0}]}
{"id":983,"expression_no_base_symbol":"⇨(⩩($1569$⨔≚≋$1377$))⇂≾⫗(($1644$⪔$1463$)⪮%⊝($5568$⪭≯$6413$))","expression":"⇨(⩩(⫖↰⪸AA9⨔≚≋⫖↰⪸969))⇂≾⫗((⫖↰⪸B50⪔⫖↰⪸A1B)⪮%⊝(⫖↰⪸3280⪭≯⫖↰⪸3865))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12681,"operation_count":7,"complexity_ratio":1811.5714285714287,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1569,"base":12},"right_expr":{"type":"numeric_atoms","value":1377,"base":12}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1644,"base":12},"right_expr":{"type":"numeric_atoms","value":1463,"base":12}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5568,"base":12},"right_expr":{"type":"numeric_atoms","value":6413,"base":12}}}}},"used_operators":["G9tJMlZ94a","aBQ6xLxuTc","kMhfGuqI2H","Z57zeUYC9z","IWmyXbctLI","GjBEYRfMaF","XAx5wpdLa6"],"dependent_operators":["k8jYdgA6NY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1569","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=1377, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1644","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1463, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5568","layer":4},{"info":"number node, value=6413","layer":4},{"info":"compute binary expreesion, left_input=5568, right_input=6413, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⇨(⩩(⫖↰⪸AA9⨔≚≋⫖↰⪸969))⇂≾⫗((⫖↰⪸B50⪔⫖↰⪸A1B)⪮%⊝(⫖↰⪸3280⪭≯⫖↰⪸3865))=NaN","reverse_text":"NaN=⇨(⩩(⫖↰⪸AA9⨔≚≋⫖↰⪸969))⇂≾⫗((⫖↰⪸B50⪔⫖↰⪸A1B)⪮%⊝(⫖↰⪸3280⪭≯⫖↰⪸3865))","cot":[{"info":"⫖↰⪸AA9⨔≚≋⫖↰⪸969=⫖↰⪸5868","layer":3},{"info":"⩩⫖↰⪸5868=NaN","layer":2},{"info":"⫖↰⪸B50⪔⫖↰⪸A1B=⫖↰⪸316","layer":3},{"info":"⫖↰⪸3280⪭≯⫖↰⪸3865=NaN","layer":3},{"info":"⫖↰⪸316⪮%⊝NaN=NaN","layer":2},{"info":"NaN⇂≾⫗NaN=NaN","layer":1},{"info":"⇨NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"((⩷⨜⫀($2003$⩖⊿$1928$))∩⋅)↳≱((⪓⩚(⇖$4997$))∷)","expression":"((⩷⨜⫀(⫖↰⪸11AB⩖⊿⫖↰⪸1148))∩⋅)↳≱((⪓⩚(⇖⫖↰⪸2A85))∷)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3496,"operation_count":7,"complexity_ratio":499.42857142857144,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2003,"base":12},"right_expr":{"type":"numeric_atoms","value":1928,"base":12}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":4997,"base":12}}}}},"used_operators":["JwTKLfZU96","2MzE1hQ0cz","CDi0ktkjQ4","RZ5CV9rWsJ","nFAOW8KTqp","u0R0Locfp2","tfWHHpNKUN"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Qy55tPpLXF","ruOEQAzv1W","nhYeJWJD5X","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","2DQ55sFlQl"],"result":"⫖↰⪸0","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2003","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=1928, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=7330","layer":3},{"info":"compute unary expreesion, input=7330, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-7057","layer":2},{"info":"compute unary expreesion, input=-7057, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":1},{"info":"number node, value=4997","layer":4},{"info":"compute unary expreesion, input=4997, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"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":2},{"info":"compute unary expreesion, input=426, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=1278","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1278, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":12,"result_base":12,"text":"((⩷⨜⫀(⫖↰⪸11AB⩖⊿⫖↰⪸1148))∩⋅)↳≱((⪓⩚(⇖⫖↰⪸2A85))∷)=⫖↰⪸0","reverse_text":"⫖↰⪸0=((⩷⨜⫀(⫖↰⪸11AB⩖⊿⫖↰⪸1148))∩⋅)↳≱((⪓⩚(⇖⫖↰⪸2A85))∷)","cot":[{"info":"⫖↰⪸11AB⩖⊿⫖↰⪸1148=⫖↰⪸42AA","layer":3},{"info":"⩷⨜⫀⫖↰⪸42AA=⫖↰⪸-4101","layer":2},{"info":"⫖↰⪸-4101∩⋅=⫖↰⪸57","layer":1},{"info":"⇖⫖↰⪸2A85=⫖↰⪸114","layer":3},{"info":"⪓⩚⫖↰⪸114=⫖↰⪸2B6","layer":2},{"info":"⫖↰⪸2B6∷=⫖↰⪸8A6","layer":1},{"info":"⫖↰⪸57↳≱⫖↰⪸8A6=⫖↰⪸0","layer":0}]}
{"id":985,"expression_no_base_symbol":"(⨈⪑(⇐($1027$⪨≂$5413$)))+($3693$⨝⩣∺)⪝(⨑⩽⪐$2300$)⨚⇆((⨑⩽⪐$7328$)⪡($1916$-$2942$))","expression":"(⨈⪑(⇐(⫖↰⪸717⪨≂⫖↰⪸3171)))+(⫖↰⪸2179⨝⩣∺)⪝(⨑⩽⪐⫖↰⪸13B8)⨚⇆((⨑⩽⪐⫖↰⪸42A8)⪡(⫖↰⪸1138-⫖↰⪸1852))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":566204,"operation_count":11,"complexity_ratio":51473.09090909091,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1027,"base":12},"right_expr":{"type":"numeric_atoms","value":5413,"base":12}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":3693,"base":12}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2300,"base":12}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7328,"base":12}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1916,"base":12},"right_expr":{"type":"numeric_atoms","value":2942,"base":12}}}}},"used_operators":["W4YGzv6Whe","mp94q5OcYM","nmZMaaE0Q9","sdazOOVcIp","lwHaAYXP2r","wicAB68Tmb","ancx8kZcWl","AF7qkfDlqP","oraRL2iQuh","rysDP5nf3Z"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DZ8iAZOCBD","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":4},{"info":"number node, value=5413","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=5413, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8670","layer":3},{"info":"compute unary expreesion, input=-8670, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":2},{"info":"compute unary expreesion, input=-5016, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=3693","layer":4},{"info":"compute unary expreesion, input=3693, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-7386","layer":3},{"info":"number node, value=2300","layer":4},{"info":"compute unary expreesion, input=2300, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2027","layer":3},{"info":"compute binary expreesion, left_input=-7386, right_input=-2027, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-80801","layer":2},{"info":"number node, value=7328","layer":4},{"info":"compute unary expreesion, input=7328, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7055","layer":3},{"info":"number node, value=1916","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=2942, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1026","layer":3},{"info":"compute binary expreesion, left_input=-7055, right_input=-1026, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=15078","layer":2},{"info":"compute binary expreesion, left_input=-80801, right_input=15078, 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=868, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⨈⪑(⇐(⫖↰⪸717⪨≂⫖↰⪸3171)))+(⫖↰⪸2179⨝⩣∺)⪝(⨑⩽⪐⫖↰⪸13B8)⨚⇆((⨑⩽⪐⫖↰⪸42A8)⪡(⫖↰⪸1138-⫖↰⪸1852))=NaN","reverse_text":"NaN=(⨈⪑(⇐(⫖↰⪸717⪨≂⫖↰⪸3171)))+(⫖↰⪸2179⨝⩣∺)⪝(⨑⩽⪐⫖↰⪸13B8)⨚⇆((⨑⩽⪐⫖↰⪸42A8)⪡(⫖↰⪸1138-⫖↰⪸1852))","cot":[{"info":"⫖↰⪸717⪨≂⫖↰⪸3171=⫖↰⪸-5026","layer":3},{"info":"⇐⫖↰⪸-5026=⫖↰⪸-2AA0","layer":2},{"info":"⨈⪑⫖↰⪸-2AA0=⫖↰⪸604","layer":1},{"info":"⫖↰⪸2179⨝⩣∺=⫖↰⪸-4336","layer":3},{"info":"⨑⩽⪐⫖↰⪸13B8=⫖↰⪸-120B","layer":3},{"info":"⫖↰⪸-4336⪝⫖↰⪸-120B=⫖↰⪸-3A915","layer":2},{"info":"⨑⩽⪐⫖↰⪸42A8=⫖↰⪸-40BB","layer":3},{"info":"⫖↰⪸1138-⫖↰⪸1852=⫖↰⪸-716","layer":3},{"info":"⫖↰⪸-40BB⪡⫖↰⪸-716=⫖↰⪸8886","layer":2},{"info":"⫖↰⪸-3A915⨚⇆⫖↰⪸8886=NaN","layer":1},{"info":"⫖↰⪸604+NaN=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"(⪁⇼$3879$)∇⊂⋱(⋠∜$6418$)∑⇟⊟(($1479$⩟)⊘)⫔⩽⩺(($2942$⩣⫁∢$1726$)≁↽≥($9275$⫥∨⫟$3298$)∷$2003$⋹⋡⊁$2695$⋝⋈⪟($3556$↱$1378$))","expression":"(⪁⇼⫖↰⪸22B3)∇⊂⋱(⋠∜⫖↰⪸386A)∑⇟⊟((⫖↰⪸A33⩟)⊘)⫔⩽⩺((⫖↰⪸1852⩣⫁∢⫖↰⪸BBA)≁↽≥(⫖↰⪸544B⫥∨⫟⫖↰⪸1AAA)∷⫖↰⪸11AB⋹⋡⊁⫖↰⪸1687⋝⋈⪟(⫖↰⪸2084↱⫖↰⪸96A))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":63190,"operation_count":14,"complexity_ratio":4513.571428571428,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":3879,"base":12}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":6418,"base":12}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1479,"base":12}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2942,"base":12},"right_expr":{"type":"numeric_atoms","value":1726,"base":12}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":9275,"base":12},"right_expr":{"type":"numeric_atoms","value":3298,"base":12}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2003,"base":12},"right_expr":{"type":"numeric_atoms","value":2695,"base":12}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3556,"base":12},"right_expr":{"type":"numeric_atoms","value":1378,"base":12}}}}},"used_operators":["i9eR4S00cU","U7g4x0WXJJ","nhYeJWJD5X","ZNVVrZ94lY","ZJpFhNJr3x","gu96TGCTMs","fOIeswaMU4","D3AQDKkPcf","ncHt1X6cMc","JDUIKTTSIa","KYD54nUTWz","2DDjHMKMc0","As8RqfVLgs","SR5kFfdi6N"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","7j4O788W3g","oWn0xqSxBt","3Oe9XWJUTD","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3879","layer":4},{"info":"compute unary expreesion, input=3879, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=6418","layer":4},{"info":"compute unary expreesion, input=6418, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=27956","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=27956, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=298","layer":2},{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-12084","layer":3},{"info":"compute unary expreesion, input=-12084, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=298, right_input=-1, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":1},{"info":"number node, value=2942","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=1726, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5723","layer":3},{"info":"number node, value=9275","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=9275, right_input=3298, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5723, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"number node, value=2003","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=2003, right_input=2695, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3445","layer":3},{"info":"number node, value=3556","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=3556, right_input=1378, 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=-3612","layer":3},{"info":"compute binary expreesion, left_input=3445, right_input=-3612, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3445","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3445, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3445","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3445, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⪁⇼⫖↰⪸22B3)∇⊂⋱(⋠∜⫖↰⪸386A)∑⇟⊟((⫖↰⪸A33⩟)⊘)⫔⩽⩺((⫖↰⪸1852⩣⫁∢⫖↰⪸BBA)≁↽≥(⫖↰⪸544B⫥∨⫟⫖↰⪸1AAA)∷⫖↰⪸11AB⋹⋡⊁⫖↰⪸1687⋝⋈⪟(⫖↰⪸2084↱⫖↰⪸96A))=NaN","reverse_text":"NaN=(⪁⇼⫖↰⪸22B3)∇⊂⋱(⋠∜⫖↰⪸386A)∑⇟⊟((⫖↰⪸A33⩟)⊘)⫔⩽⩺((⫖↰⪸1852⩣⫁∢⫖↰⪸BBA)≁↽≥(⫖↰⪸544B⫥∨⫟⫖↰⪸1AAA)∷⫖↰⪸11AB⋹⋡⊁⫖↰⪸1687⋝⋈⪟(⫖↰⪸2084↱⫖↰⪸96A))","cot":[{"info":"⪁⇼⫖↰⪸22B3=⫖↰⪸2B2","layer":3},{"info":"⋠∜⫖↰⪸386A=⫖↰⪸14218","layer":3},{"info":"⫖↰⪸2B2∇⊂⋱⫖↰⪸14218=⫖↰⪸20A","layer":2},{"info":"⫖↰⪸A33⩟=⫖↰⪸-6BB0","layer":3},{"info":"⫖↰⪸-6BB0⊘=⫖↰⪸-1","layer":2},{"info":"⫖↰⪸20A∑⇟⊟⫖↰⪸-1=⫖↰⪸0","layer":1},{"info":"⫖↰⪸1852⩣⫁∢⫖↰⪸BBA=⫖↰⪸-338B","layer":3},{"info":"⫖↰⪸544B⫥∨⫟⫖↰⪸1AAA=NaN","layer":3},{"info":"⫖↰⪸-338B≁↽≥NaN=NaN","layer":2},{"info":"⫖↰⪸11AB⋹⋡⊁⫖↰⪸1687=⫖↰⪸1BB1","layer":3},{"info":"⫖↰⪸2084↱⫖↰⪸96A=⫖↰⪸-2110","layer":3},{"info":"⫖↰⪸1BB1⋝⋈⪟⫖↰⪸-2110=⫖↰⪸1BB1","layer":2},{"info":"NaN∷⫖↰⪸1BB1=⫖↰⪸1BB1","layer":1},{"info":"⫖↰⪸0⫔⩽⩺⫖↰⪸1BB1=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"(($3416$⫻⋑⊟)⫽⇹≛)⊬⨰((↽≂$2183$)⊝⪿⪼(⫡⇟⇯$1493$))↸((⪓⩚$2356$)↸$2462$≀⫉$2388$)⪛⫼(($1001$⫌⩹⨱)∵≐)","expression":"((⫖↰⪸1B88⫻⋑⊟)⫽⇹≛)⊬⨰((↽≂⫖↰⪸131B)⊝⪿⪼(⫡⇟⇯⫖↰⪸A45))↸((⪓⩚⫖↰⪸1444)↸⫖↰⪸1512≀⫉⫖↰⪸1470)⪛⫼((⫖↰⪸6B5⫌⩹⨱)∵≐)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5114,"operation_count":13,"complexity_ratio":393.38461538461536,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":3416,"base":12}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2183,"base":12}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1493,"base":12}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2356,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2462,"base":12},"right_expr":{"type":"numeric_atoms","value":2388,"base":12}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1001,"base":12}}}}},"used_operators":["1eCjFl0mb9","s3Fd5m9Dh2","NNaDxxp6OQ","o575Zjdmzy","3Oe9XWJUTD","u6S6b8DprG","qWUSsah53b","hyuBjUqXlG","u0R0Locfp2","oZj3VtZNQx","59igzFyhWz","EBcxylXtPf"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫖↰⪸-A8360","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3416","layer":4},{"info":"compute unary expreesion, input=3416, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-6322","layer":3},{"info":"compute unary expreesion, input=-6322, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4366","layer":3},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3854","layer":3},{"info":"compute binary expreesion, left_input=-4366, right_input=3854, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-55558","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=-55558, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-221688","layer":1},{"info":"number node, value=2356","layer":4},{"info":"compute unary expreesion, input=2356, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=2462","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=2388, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=2822, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=426","layer":2},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3403","layer":3},{"info":"compute unary expreesion, input=3403, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=2457","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=2457, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-221688, right_input=968, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-221688","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸1B88⫻⋑⊟)⫽⇹≛)⊬⨰((↽≂⫖↰⪸131B)⊝⪿⪼(⫡⇟⇯⫖↰⪸A45))↸((⪓⩚⫖↰⪸1444)↸⫖↰⪸1512≀⫉⫖↰⪸1470)⪛⫼((⫖↰⪸6B5⫌⩹⨱)∵≐)=⫖↰⪸-A8360","reverse_text":"⫖↰⪸-A8360=((⫖↰⪸1B88⫻⋑⊟)⫽⇹≛)⊬⨰((↽≂⫖↰⪸131B)⊝⪿⪼(⫡⇟⇯⫖↰⪸A45))↸((⪓⩚⫖↰⪸1444)↸⫖↰⪸1512≀⫉⫖↰⪸1470)⪛⫼((⫖↰⪸6B5⫌⩹⨱)∵≐)","cot":[{"info":"⫖↰⪸1B88⫻⋑⊟=⫖↰⪸-37AA","layer":3},{"info":"⫖↰⪸-37AA⫽⇹≛=⫖↰⪸1A8","layer":2},{"info":"↽≂⫖↰⪸131B=⫖↰⪸-263A","layer":3},{"info":"⫡⇟⇯⫖↰⪸A45=⫖↰⪸2292","layer":3},{"info":"⫖↰⪸-263A⊝⪿⪼⫖↰⪸2292=⫖↰⪸-2819A","layer":2},{"info":"⫖↰⪸1A8⊬⨰⫖↰⪸-2819A=⫖↰⪸-A8360","layer":1},{"info":"⪓⩚⫖↰⪸1444=⫖↰⪸2B6","layer":3},{"info":"⫖↰⪸1512≀⫉⫖↰⪸1470=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸2B6↸⫖↰⪸1772=⫖↰⪸2B6","layer":2},{"info":"⫖↰⪸6B5⫌⩹⨱=⫖↰⪸1B77","layer":3},{"info":"⫖↰⪸1B77∵≐=⫖↰⪸1509","layer":2},{"info":"⫖↰⪸2B6⪛⫼⫖↰⪸1509=⫖↰⪸688","layer":1},{"info":"⫖↰⪸-A8360↸⫖↰⪸688=⫖↰⪸-A8360","layer":0}]}
{"id":988,"expression_no_base_symbol":"⋣$4666$⇂≾⫗$1045$≦↸$1074$⫗⊷⫓$2705$⪒⊣⊆(($1621$≳⇉$4659$)⨲)","expression":"⋣⫖↰⪸284A⇂≾⫗⫖↰⪸731≦↸⫖↰⪸756⫗⊷⫓⫖↰⪸1695⪒⊣⊆((⫖↰⪸B31≳⇉⫖↰⪸2843)⨲)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":288509264,"operation_count":7,"complexity_ratio":41215609.14285714,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4666,"base":12},"right_expr":{"type":"numeric_atoms","value":1045,"base":12}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1074,"base":12},"right_expr":{"type":"numeric_atoms","value":2705,"base":12}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1621,"base":12},"right_expr":{"type":"numeric_atoms","value":4659,"base":12}}}}},"used_operators":["zQWRhDnn8F","eRqsBgTDFp","RygbFNSyEJ","aBQ6xLxuTc","zashukvMKz","nLYMGWM7L8","V0kx6qeWkN"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","sdazOOVcIp","W4YGzv6Whe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⫖↰⪸-325851","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4666","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=1045, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=2705, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-134, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1357","layer":2},{"info":"number node, value=1621","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=4659, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"compute binary expreesion, left_input=1357, right_input=4683709, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2714","layer":1},{"info":"compute unary expreesion, input=2714, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-797821","layer":0}],"base":12,"result_base":12,"text":"⋣⫖↰⪸284A⇂≾⫗⫖↰⪸731≦↸⫖↰⪸756⫗⊷⫓⫖↰⪸1695⪒⊣⊆((⫖↰⪸B31≳⇉⫖↰⪸2843)⨲)=⫖↰⪸-325851","reverse_text":"⫖↰⪸-325851=⋣⫖↰⪸284A⇂≾⫗⫖↰⪸731≦↸⫖↰⪸756⫗⊷⫓⫖↰⪸1695⪒⊣⊆((⫖↰⪸B31≳⇉⫖↰⪸2843)⨲)","cot":[{"info":"⫖↰⪸284A⇂≾⫗⫖↰⪸731=⫖↰⪸-484","layer":3},{"info":"⫖↰⪸756⫗⊷⫓⫖↰⪸1695=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸-484≦↸⫖↰⪸-B2=⫖↰⪸951","layer":2},{"info":"⫖↰⪸B31≳⇉⫖↰⪸2843=NaN","layer":3},{"info":"NaN⨲=⫖↰⪸169A591","layer":2},{"info":"⫖↰⪸951⪒⊣⊆⫖↰⪸169A591=⫖↰⪸16A2","layer":1},{"info":"⋣⫖↰⪸16A2=⫖↰⪸-325851","layer":0}]}
{"id":989,"expression_no_base_symbol":"(($1162$⨫⇇↔$2164$⫲≸⪮$7891$⫗⊷⫓$3135$)⩦(($2942$∀⊥⇻)⪛⫼(⪝⪂⫅$5332$)))⇉⇱⇎","expression":"((⫖↰⪸80A⨫⇇↔⫖↰⪸1304⫲≸⪮⫖↰⪸4697⫗⊷⫓⫖↰⪸1993)⩦((⫖↰⪸1852∀⊥⇻)⪛⫼(⪝⪂⫅⫖↰⪸3104)))⇉⇱⇎","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2436071,"operation_count":8,"complexity_ratio":304508.875,"tree":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1162,"base":12},"right_expr":{"type":"numeric_atoms","value":2164,"base":12}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7891,"base":12},"right_expr":{"type":"numeric_atoms","value":3135,"base":12}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":2942,"base":12}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5332,"base":12}}}}},"used_operators":["MRPaB8lBjK","0kmYd0q39Y","P3lXMJvFrc","LXhwmt4mBO","zashukvMKz","hyuBjUqXlG","k4iM1060OG","XTarYq4gQB"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫖↰⪸-598","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1162","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=2164, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=7891","layer":4},{"info":"number node, value=3135","layer":4},{"info":"compute binary expreesion, left_input=7891, right_input=3135, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-134, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=527","layer":2},{"info":"number node, value=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=5332","layer":4},{"info":"compute unary expreesion, input=5332, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-783804","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-783804, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1405","layer":2},{"info":"compute binary expreesion, left_input=527, right_input=-1405, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=1054","layer":1},{"info":"compute unary expreesion, input=1054, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-836","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸80A⨫⇇↔⫖↰⪸1304⫲≸⪮⫖↰⪸4697⫗⊷⫓⫖↰⪸1993)⩦((⫖↰⪸1852∀⊥⇻)⪛⫼(⪝⪂⫅⫖↰⪸3104)))⇉⇱⇎=⫖↰⪸-598","reverse_text":"⫖↰⪸-598=((⫖↰⪸80A⨫⇇↔⫖↰⪸1304⫲≸⪮⫖↰⪸4697⫗⊷⫓⫖↰⪸1993)⩦((⫖↰⪸1852∀⊥⇻)⪛⫼(⪝⪂⫅⫖↰⪸3104)))⇉⇱⇎","cot":[{"info":"⫖↰⪸80A⨫⇇↔⫖↰⪸1304=⫖↰⪸-37B","layer":3},{"info":"⫖↰⪸4697⫗⊷⫓⫖↰⪸1993=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸-37B⫲≸⪮⫖↰⪸-B2=⫖↰⪸37B","layer":2},{"info":"⫖↰⪸1852∀⊥⇻=⫖↰⪸0","layer":3},{"info":"⪝⪂⫅⫖↰⪸3104=⫖↰⪸-319710","layer":3},{"info":"⫖↰⪸0⪛⫼⫖↰⪸-319710=⫖↰⪸-991","layer":2},{"info":"⫖↰⪸37B⩦⫖↰⪸-991=⫖↰⪸73A","layer":1},{"info":"⫖↰⪸73A⇉⇱⇎=⫖↰⪸-598","layer":0}]}
{"id":990,"expression_no_base_symbol":"(⪛⨧(⊀$1146$)⩼⇪↪$6228$⫁$7035$)⋝⋈⪟(-($2255$+$1963$))⨑⩅≇(($4670$∺≝⩲$1918$)⨑⩅≇$7472$⫗⊷⫓$2908$)","expression":"(⪛⨧(⊀⫖↰⪸7B6)⩼⇪↪⫖↰⪸3730⫁⫖↰⪸40A3)⋝⋈⪟(-(⫖↰⪸137B+⫖↰⪸1177))⨑⩅≇((⫖↰⪸2852∺≝⩲⫖↰⪸113A)⨑⩅≇⫖↰⪸43A8⫗⊷⫓⫖↰⪸1824)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2259252,"operation_count":11,"complexity_ratio":205386.54545454544,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1146,"base":12}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6228,"base":12},"right_expr":{"type":"numeric_atoms","value":7035,"base":12}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2255,"base":12},"right_expr":{"type":"numeric_atoms","value":1963,"base":12}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4670,"base":12},"right_expr":{"type":"numeric_atoms","value":1918,"base":12}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7472,"base":12},"right_expr":{"type":"numeric_atoms","value":2908,"base":12}}}}},"used_operators":["2DDjHMKMc0","6NJAcO2OWT","ocnLzx9CaJ","oPMjh9089D","0ajvFaJAv0","h92wMvzauj","t8gj7n24qd","W4YGzv6Whe","KPf6cnQVty","zashukvMKz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⫖↰⪸8743","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4322","layer":3},{"info":"number node, value=6228","layer":4},{"info":"number node, value=7035","layer":4},{"info":"compute binary expreesion, left_input=6228, right_input=7035, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4322, right_input=160, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=6741","layer":2},{"info":"compute unary expreesion, input=6741, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=14883","layer":1},{"info":"number node, value=2255","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=1963, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4218","layer":3},{"info":"compute unary expreesion, input=4218, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4218","layer":2},{"info":"number node, value=4670","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=1918, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=7472","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=7472, right_input=2908, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-134, 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=-480","layer":2},{"info":"compute binary expreesion, left_input=-4218, right_input=-480, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=14883, right_input=-55, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=14883","layer":0}],"base":12,"result_base":12,"text":"(⪛⨧(⊀⫖↰⪸7B6)⩼⇪↪⫖↰⪸3730⫁⫖↰⪸40A3)⋝⋈⪟(-(⫖↰⪸137B+⫖↰⪸1177))⨑⩅≇((⫖↰⪸2852∺≝⩲⫖↰⪸113A)⨑⩅≇⫖↰⪸43A8⫗⊷⫓⫖↰⪸1824)=⫖↰⪸8743","reverse_text":"⫖↰⪸8743=(⪛⨧(⊀⫖↰⪸7B6)⩼⇪↪⫖↰⪸3730⫁⫖↰⪸40A3)⋝⋈⪟(-(⫖↰⪸137B+⫖↰⪸1177))⨑⩅≇((⫖↰⪸2852∺≝⩲⫖↰⪸113A)⨑⩅≇⫖↰⪸43A8⫗⊷⫓⫖↰⪸1824)","cot":[{"info":"⊀⫖↰⪸7B6=⫖↰⪸2602","layer":3},{"info":"⫖↰⪸3730⫁⫖↰⪸40A3=⫖↰⪸114","layer":3},{"info":"⫖↰⪸2602⩼⇪↪⫖↰⪸114=⫖↰⪸3A99","layer":2},{"info":"⪛⨧⫖↰⪸3A99=⫖↰⪸8743","layer":1},{"info":"⫖↰⪸137B+⫖↰⪸1177=⫖↰⪸2536","layer":3},{"info":"-⫖↰⪸2536=⫖↰⪸-2536","layer":2},{"info":"⫖↰⪸2852∺≝⩲⫖↰⪸113A=⫖↰⪸114","layer":3},{"info":"⫖↰⪸43A8⫗⊷⫓⫖↰⪸1824=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸114⨑⩅≇⫖↰⪸-B2=⫖↰⪸-340","layer":2},{"info":"⫖↰⪸-2536⨑⩅≇⫖↰⪸-340=⫖↰⪸-47","layer":1},{"info":"⫖↰⪸8743⋝⋈⪟⫖↰⪸-47=⫖↰⪸8743","layer":0}]}
{"id":991,"expression_no_base_symbol":"((⊀($2648$⪔$4326$))∙⊟($4167$⇄$2174$)≀⫉($1171$≓∲$4940$))⋥⋵⩄($2230$≎⪠$4043$⫽⇹≛)↞⋁($2849$⇼⇔∾$4029$⋷$3644$⫗⊷⫓$3347$)","expression":"((⊀(⫖↰⪸1648⪔⫖↰⪸2606))∙⊟(⫖↰⪸24B3⇄⫖↰⪸1312)≀⫉(⫖↰⪸817≓∲⫖↰⪸2A38))⋥⋵⩄(⫖↰⪸135A≎⪠⫖↰⪸240B⫽⇹≛)↞⋁(⫖↰⪸1795⇼⇔∾⫖↰⪸23B9⋷⫖↰⪸2138⫗⊷⫓⫖↰⪸1B2B)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2625347,"operation_count":13,"complexity_ratio":201949.76923076922,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2648,"base":12},"right_expr":{"type":"numeric_atoms","value":4326,"base":12}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4167,"base":12},"right_expr":{"type":"numeric_atoms","value":2174,"base":12}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1171,"base":12},"right_expr":{"type":"numeric_atoms","value":4940,"base":12}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2230,"base":12},"right_expr":{"type":"numeric_atoms","value":4043,"base":12}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2849,"base":12},"right_expr":{"type":"numeric_atoms","value":4029,"base":12}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3644,"base":12},"right_expr":{"type":"numeric_atoms","value":3347,"base":12}}}}},"used_operators":["7t3wd0Fuz7","SxTAKzQCrw","oPMjh9089D","GjBEYRfMaF","oZj3VtZNQx","3EYGwJThht","s1XTVnmDOJ","RqrPlJkxDo","NNaDxxp6OQ","aNhz54LH3e","23Mk6UjR3U","tifHPKVTfV","zashukvMKz"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⫖↰⪸95","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2648","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=4326, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=1538","layer":2},{"info":"number node, value=4167","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=2174, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1171","layer":4},{"info":"number node, value=4940","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=4940, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=12493","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12493, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=1538, right_input=2822, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=29840","layer":1},{"info":"number node, value=2230","layer":4},{"info":"number node, value=4043","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=4043, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=2849","layer":4},{"info":"number node, value=4029","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=4029, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1180","layer":3},{"info":"number node, value=3644","layer":4},{"info":"number node, value=3347","layer":4},{"info":"compute binary expreesion, left_input=3644, right_input=3347, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1180, right_input=-134, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1448","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=-1448, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=272","layer":1},{"info":"compute binary expreesion, left_input=29840, right_input=272, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":12,"result_base":12,"text":"((⊀(⫖↰⪸1648⪔⫖↰⪸2606))∙⊟(⫖↰⪸24B3⇄⫖↰⪸1312)≀⫉(⫖↰⪸817≓∲⫖↰⪸2A38))⋥⋵⩄(⫖↰⪸135A≎⪠⫖↰⪸240B⫽⇹≛)↞⋁(⫖↰⪸1795⇼⇔∾⫖↰⪸23B9⋷⫖↰⪸2138⫗⊷⫓⫖↰⪸1B2B)=⫖↰⪸95","reverse_text":"⫖↰⪸95=((⊀(⫖↰⪸1648⪔⫖↰⪸2606))∙⊟(⫖↰⪸24B3⇄⫖↰⪸1312)≀⫉(⫖↰⪸817≓∲⫖↰⪸2A38))⋥⋵⩄(⫖↰⪸135A≎⪠⫖↰⪸240B⫽⇹≛)↞⋁(⫖↰⪸1795⇼⇔∾⫖↰⪸23B9⋷⫖↰⪸2138⫗⊷⫓⫖↰⪸1B2B)","cot":[{"info":"⫖↰⪸1648⪔⫖↰⪸2606=⫖↰⪸316","layer":3},{"info":"⊀⫖↰⪸316=⫖↰⪸A82","layer":2},{"info":"⫖↰⪸24B3⇄⫖↰⪸1312=⫖↰⪸0","layer":3},{"info":"⫖↰⪸817≓∲⫖↰⪸2A38=⫖↰⪸7291","layer":3},{"info":"⫖↰⪸0≀⫉⫖↰⪸7291=⫖↰⪸1772","layer":2},{"info":"⫖↰⪸A82∙⊟⫖↰⪸1772=⫖↰⪸15328","layer":1},{"info":"⫖↰⪸135A≎⪠⫖↰⪸240B=⫖↰⪸B39A","layer":3},{"info":"⫖↰⪸B39A⫽⇹≛=⫖↰⪸1A8","layer":2},{"info":"⫖↰⪸1795⇼⇔∾⫖↰⪸23B9=⫖↰⪸824","layer":3},{"info":"⫖↰⪸2138⫗⊷⫓⫖↰⪸1B2B=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸824⋷⫖↰⪸-B2=⫖↰⪸-A08","layer":2},{"info":"⫖↰⪸1A8↞⋁⫖↰⪸-A08=⫖↰⪸1A8","layer":1},{"info":"⫖↰⪸15328⋥⋵⩄⫖↰⪸1A8=⫖↰⪸95","layer":0}]}
{"id":992,"expression_no_base_symbol":"(≑⋹(↩$4689$⫗⊷⫓$3464$))⋥≓≎($6241$⫁⪎$8741$⋥≓≎$2146$⪬$3535$)⩼⇪↪(($3328$⫸⇳$2100$)≒∊$2035$⊢$7745$)","expression":"(≑⋹(↩⫖↰⪸2869⫗⊷⫓⫖↰⪸2008))⋥≓≎(⫖↰⪸3741⫁⪎⫖↰⪸5085⋥≓≎⫖↰⪸12AA⪬⫖↰⪸2067)⩼⇪↪((⫖↰⪸1B14⫸⇳⫖↰⪸1270)≒∊⫖↰⪸1217⊢⫖↰⪸4595)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2691600,"operation_count":11,"complexity_ratio":244690.9090909091,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4689,"base":12},"right_expr":{"type":"numeric_atoms","value":3464,"base":12}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6241,"base":12},"right_expr":{"type":"numeric_atoms","value":8741,"base":12}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2146,"base":12},"right_expr":{"type":"numeric_atoms","value":3535,"base":12}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3328,"base":12},"right_expr":{"type":"numeric_atoms","value":2100,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2035,"base":12},"right_expr":{"type":"numeric_atoms","value":7745,"base":12}}}}},"used_operators":["Qy55tPpLXF","6B9nyZLogK","jLgFTUHLKL","zashukvMKz","ocnLzx9CaJ","xRrnTEsQ6j","Ez1Nq5fNfI","5KTvxBwnZo","gx7XJ7hdpj","5twsqlHp2o"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫖↰⪸-5737","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=4689","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=4689, right_input=3464, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=6452","layer":2},{"info":"compute unary expreesion, input=6452, 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=6241","layer":4},{"info":"number node, value=8741","layer":4},{"info":"compute binary expreesion, left_input=6241, right_input=8741, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2500","layer":3},{"info":"number node, value=2146","layer":4},{"info":"number node, value=3535","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=3535, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-2500, right_input=1234, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=3328","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=3328, right_input=2100, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2035","layer":4},{"info":"number node, value=7745","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=7745, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4314","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4314, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=484, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4037","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=-4037, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-9691","layer":0}],"base":12,"result_base":12,"text":"(≑⋹(↩⫖↰⪸2869⫗⊷⫓⫖↰⪸2008))⋥≓≎(⫖↰⪸3741⫁⪎⫖↰⪸5085⋥≓≎⫖↰⪸12AA⪬⫖↰⪸2067)⩼⇪↪((⫖↰⪸1B14⫸⇳⫖↰⪸1270)≒∊⫖↰⪸1217⊢⫖↰⪸4595)=⫖↰⪸-5737","reverse_text":"⫖↰⪸-5737=(≑⋹(↩⫖↰⪸2869⫗⊷⫓⫖↰⪸2008))⋥≓≎(⫖↰⪸3741⫁⪎⫖↰⪸5085⋥≓≎⫖↰⪸12AA⪬⫖↰⪸2067)⩼⇪↪((⫖↰⪸1B14⫸⇳⫖↰⪸1270)≒∊⫖↰⪸1217⊢⫖↰⪸4595)","cot":[{"info":"⫖↰⪸2869⫗⊷⫓⫖↰⪸2008=⫖↰⪸-B2","layer":3},{"info":"↩⫖↰⪸-B2=⫖↰⪸3898","layer":2},{"info":"≑⋹⫖↰⪸3898=⫖↰⪸B56","layer":1},{"info":"⫖↰⪸3741⫁⪎⫖↰⪸5085=⫖↰⪸-1544","layer":3},{"info":"⫖↰⪸12AA⪬⫖↰⪸2067=⫖↰⪸86A","layer":3},{"info":"⫖↰⪸-1544⋥≓≎⫖↰⪸86A=⫖↰⪸57","layer":2},{"info":"⫖↰⪸1B14⫸⇳⫖↰⪸1270=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1217⊢⫖↰⪸4595=⫖↰⪸-25B6","layer":3},{"info":"⫖↰⪸0≒∊⫖↰⪸-25B6=⫖↰⪸344","layer":2},{"info":"⫖↰⪸57⩼⇪↪⫖↰⪸344=⫖↰⪸-2405","layer":1},{"info":"⫖↰⪸B56⋥≓≎⫖↰⪸-2405=⫖↰⪸-5737","layer":0}]}
{"id":993,"expression_no_base_symbol":"⊵⊁($3211$↼⊘⨖$1921$≒∊(≻⋜$3660$)⋳⪒(($1333$⇡)⨑≵⋬$1133$⋣⋖$7505$))","expression":"⊵⊁(⫖↰⪸1A37↼⊘⨖⫖↰⪸1141≒∊(≻⋜⫖↰⪸2150)⋳⪒((⫖↰⪸931⇡)⨑≵⋬⫖↰⪸7A5⋣⋖⫖↰⪸4415))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23368,"operation_count":8,"complexity_ratio":2921.0,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3211,"base":12},"right_expr":{"type":"numeric_atoms","value":1921,"base":12}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":3660,"base":12}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":1333,"base":12}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1133,"base":12},"right_expr":{"type":"numeric_atoms","value":7505,"base":12}}}}},"used_operators":["AvED76WdY7","12rbrZMWeM","5KTvxBwnZo","bPywburJMS","3tj9sqzovi","XnXgA4xnOs","UqFzSgLMvQ","J0M6qkBnIM"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=3211","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=1921, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3620","layer":3},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3620, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"number node, value=1333","layer":4},{"info":"compute unary expreesion, input=1333, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=7505","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=7505, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1133","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=1133, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-21137","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21137, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"⊵⊁(⫖↰⪸1A37↼⊘⨖⫖↰⪸1141≒∊(≻⋜⫖↰⪸2150)⋳⪒((⫖↰⪸931⇡)⨑≵⋬⫖↰⪸7A5⋣⋖⫖↰⪸4415))=NaN","reverse_text":"NaN=⊵⊁(⫖↰⪸1A37↼⊘⨖⫖↰⪸1141≒∊(≻⋜⫖↰⪸2150)⋳⪒((⫖↰⪸931⇡)⨑≵⋬⫖↰⪸7A5⋣⋖⫖↰⪸4415))","cot":[{"info":"⫖↰⪸1A37↼⊘⨖⫖↰⪸1141=⫖↰⪸2118","layer":3},{"info":"≻⋜⫖↰⪸2150=NaN","layer":3},{"info":"⫖↰⪸2118≒∊NaN=NaN","layer":2},{"info":"⫖↰⪸931⇡=⫖↰⪸-1831","layer":3},{"info":"⫖↰⪸7A5⋣⋖⫖↰⪸4415=⫖↰⪸7A5","layer":3},{"info":"⫖↰⪸-1831⨑≵⋬⫖↰⪸7A5=⫖↰⪸-10295","layer":2},{"info":"NaN⋳⪒⫖↰⪸-10295=NaN","layer":1},{"info":"⊵⊁NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"($1028$⨚⇆$1035$⩷∴$7153$∀⇚≩$2001$)⨽∌(($5268$⪚$1672$)⊊)∽($1465$⪉⨛$1532$)≨($1963$≒∊$1612$)⨸⪁($1604$∙∹∝$1070$/$4560$⇄$6832$)","expression":"(⫖↰⪸718⨚⇆⫖↰⪸723⩷∴⫖↰⪸4181∀⇚≩⫖↰⪸11A9)⨽∌((⫖↰⪸3070⪚⫖↰⪸B74)⊊)∽(⫖↰⪸A21⪉⨛⫖↰⪸A78)≨(⫖↰⪸1177≒∊⫖↰⪸B24)⨸⪁(⫖↰⪸B18∙∹∝⫖↰⪸752/⫖↰⪸2780⇄⫖↰⪸3B54)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":57731,"operation_count":14,"complexity_ratio":4123.642857142857,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1028,"base":12},"right_expr":{"type":"numeric_atoms","value":1035,"base":12}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7153,"base":12},"right_expr":{"type":"numeric_atoms","value":2001,"base":12}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5268,"base":12},"right_expr":{"type":"numeric_atoms","value":1672,"base":12}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1465,"base":12},"right_expr":{"type":"numeric_atoms","value":1532,"base":12}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1963,"base":12},"right_expr":{"type":"numeric_atoms","value":1612,"base":12}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1604,"base":12},"right_expr":{"type":"numeric_atoms","value":1070,"base":12}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4560,"base":12},"right_expr":{"type":"numeric_atoms","value":6832,"base":12}}}}},"used_operators":["y4ImoPnbV5","9samAPKr6k","9FxExcQeMw","lwHaAYXP2r","LRNGc0VcxI","W9R8I5fN5A","HrjLwUk87U","g55IO6H4Gj","0KMCeP1Jsh","EWw2JM7wp4","5KTvxBwnZo","XhwjNDsVaA","HmxsFra2vL","3EYGwJThht"],"dependent_operators":["NTOWxs364D","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","X99M06cbEe","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1035, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=7153","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=7153, right_input=2001, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=5268","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=1672, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6836","layer":3},{"info":"compute unary expreesion, input=6836, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=90927, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1465","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1532, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3078","layer":3},{"info":"number node, value=1963","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=1612, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1479","layer":3},{"info":"compute binary expreesion, left_input=3078, right_input=-1479, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28304","layer":2},{"info":"number node, value=1604","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=1070, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4560","layer":4},{"info":"number node, value=6832","layer":4},{"info":"compute binary expreesion, left_input=4560, right_input=6832, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-28304, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸718⨚⇆⫖↰⪸723⩷∴⫖↰⪸4181∀⇚≩⫖↰⪸11A9)⨽∌((⫖↰⪸3070⪚⫖↰⪸B74)⊊)∽(⫖↰⪸A21⪉⨛⫖↰⪸A78)≨(⫖↰⪸1177≒∊⫖↰⪸B24)⨸⪁(⫖↰⪸B18∙∹∝⫖↰⪸752/⫖↰⪸2780⇄⫖↰⪸3B54)=NaN","reverse_text":"NaN=(⫖↰⪸718⨚⇆⫖↰⪸723⩷∴⫖↰⪸4181∀⇚≩⫖↰⪸11A9)⨽∌((⫖↰⪸3070⪚⫖↰⪸B74)⊊)∽(⫖↰⪸A21⪉⨛⫖↰⪸A78)≨(⫖↰⪸1177≒∊⫖↰⪸B24)⨸⪁(⫖↰⪸B18∙∹∝⫖↰⪸752/⫖↰⪸2780⇄⫖↰⪸3B54)","cot":[{"info":"⫖↰⪸718⨚⇆⫖↰⪸723=NaN","layer":3},{"info":"⫖↰⪸4181∀⇚≩⫖↰⪸11A9=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"⫖↰⪸3070⪚⫖↰⪸B74=⫖↰⪸3B58","layer":3},{"info":"⫖↰⪸3B58⊊=⫖↰⪸44753","layer":2},{"info":"NaN⨽∌⫖↰⪸44753=⫖↰⪸0","layer":1},{"info":"⫖↰⪸A21⪉⨛⫖↰⪸A78=⫖↰⪸1946","layer":3},{"info":"⫖↰⪸1177≒∊⫖↰⪸B24=⫖↰⪸-A33","layer":3},{"info":"⫖↰⪸1946≨⫖↰⪸-A33=⫖↰⪸-14468","layer":2},{"info":"⫖↰⪸B18∙∹∝⫖↰⪸752=⫖↰⪸0","layer":3},{"info":"⫖↰⪸2780⇄⫖↰⪸3B54=⫖↰⪸0","layer":3},{"info":"⫖↰⪸0/⫖↰⪸0=NaN","layer":2},{"info":"⫖↰⪸-14468⨸⪁NaN=NaN","layer":1},{"info":"⫖↰⪸0∽NaN=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"($2346$⫗⊷⫓$3608$⫳≱↱(⊿$1727$))⨜⨶(($5045$↬$4195$)∋($1044$⩇∃⫛$2591$))≹⇙⪍((⇜⊴($1205$⪓⨏))⇪⋭)","expression":"(⫖↰⪸1436⫗⊷⫓⫖↰⪸2108⫳≱↱(⊿⫖↰⪸BBB))⨜⨶((⫖↰⪸2B05↬⫖↰⪸2517)∋(⫖↰⪸730⩇∃⫛⫖↰⪸15BB))≹⇙⪍((⇜⊴(⫖↰⪸845⪓⨏))⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2804672,"operation_count":11,"complexity_ratio":254970.18181818182,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2346,"base":12},"right_expr":{"type":"numeric_atoms","value":3608,"base":12}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1727,"base":12}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5045,"base":12},"right_expr":{"type":"numeric_atoms","value":4195,"base":12}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1044,"base":12},"right_expr":{"type":"numeric_atoms","value":2591,"base":12}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1205,"base":12}}}}},"used_operators":["AHs5Up7iyr","HiPekx5b7W","ZvLB05nZmT","zashukvMKz","DO4fhlbJSI","ukq6epAj5P","B5M0gjZbta","1aApVXNlOP","Z8Yg6dlDSp","XwDhCwWbUn","4X9JU4Jbn6"],"dependent_operators":["dWAJyo7jo9","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2346","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=3608, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1727","layer":4},{"info":"compute unary expreesion, input=1727, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-7646","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-7646, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=5045","layer":4},{"info":"number node, value=4195","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=4195, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2591, 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=2020","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2020, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":12,"result_base":12,"text":"(⫖↰⪸1436⫗⊷⫓⫖↰⪸2108⫳≱↱(⊿⫖↰⪸BBB))⨜⨶((⫖↰⪸2B05↬⫖↰⪸2517)∋(⫖↰⪸730⩇∃⫛⫖↰⪸15BB))≹⇙⪍((⇜⊴(⫖↰⪸845⪓⨏))⇪⋭)=NaN","reverse_text":"NaN=(⫖↰⪸1436⫗⊷⫓⫖↰⪸2108⫳≱↱(⊿⫖↰⪸BBB))⨜⨶((⫖↰⪸2B05↬⫖↰⪸2517)∋(⫖↰⪸730⩇∃⫛⫖↰⪸15BB))≹⇙⪍((⇜⊴(⫖↰⪸845⪓⨏))⇪⋭)","cot":[{"info":"⫖↰⪸1436⫗⊷⫓⫖↰⪸2108=⫖↰⪸-B2","layer":3},{"info":"⊿⫖↰⪸BBB=⫖↰⪸-4512","layer":3},{"info":"⫖↰⪸-B2⫳≱↱⫖↰⪸-4512=⫖↰⪸-150","layer":2},{"info":"⫖↰⪸2B05↬⫖↰⪸2517=NaN","layer":3},{"info":"⫖↰⪸730⩇∃⫛⫖↰⪸15BB=⫖↰⪸1204","layer":3},{"info":"NaN∋⫖↰⪸1204=NaN","layer":2},{"info":"⫖↰⪸-150⨜⨶NaN=NaN","layer":1},{"info":"⫖↰⪸845⪓⨏=NaN","layer":3},{"info":"⇜⊴NaN=NaN","layer":2},{"info":"NaN⇪⋭=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":996,"expression_no_base_symbol":"(($1331$⫃⨇$1768$)⇯⋐)+⪬∐(($1164$⨵⪆$1445$)∠⫱$2557$⫗⊷⫓$3628$)⇌⫙⪟(⋃($1661$∽$3229$)⫞⩸⩒($1889$⊢$1109$))","expression":"((⫖↰⪸92B⫃⨇⫖↰⪸1034)⇯⋐)+⪬∐((⫖↰⪸810⨵⪆⫖↰⪸A05)∠⫱⫖↰⪸1591⫗⊷⫓⫖↰⪸2124)⇌⫙⪟(⋃(⫖↰⪸B65∽⫖↰⪸1A51)⫞⩸⩒(⫖↰⪸1115⊢⫖↰⪸785))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2818366,"operation_count":11,"complexity_ratio":256215.0909090909,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1331,"base":12},"right_expr":{"type":"numeric_atoms","value":1768,"base":12}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1164,"base":12},"right_expr":{"type":"numeric_atoms","value":1445,"base":12}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2557,"base":12},"right_expr":{"type":"numeric_atoms","value":3628,"base":12}}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1661,"base":12},"right_expr":{"type":"numeric_atoms","value":3229,"base":12}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1889,"base":12},"right_expr":{"type":"numeric_atoms","value":1109,"base":12}}}}},"used_operators":["AFVx7xoS7T","2GS7woTJqF","LkLIoiE525","09Ly4LVMIf","QvoQhV0rrE","2DQ55sFlQl","zashukvMKz","3mBM5G4a3l","XGcMNugi78","y4ImoPnbV5","5twsqlHp2o"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g55IO6H4Gj","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⫖↰⪸69480","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1768, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7104","layer":3},{"info":"compute unary expreesion, input=-7104, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-6171","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=1445, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2557","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=3628, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-134, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=294","layer":2},{"info":"compute binary expreesion, left_input=-6171, right_input=294, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=18513","layer":1},{"info":"number node, value=1661","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=3229, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17814","layer":3},{"info":"number node, value=1889","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=1109, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4022","layer":3},{"info":"compute binary expreesion, left_input=-17814, right_input=-4022, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-17814","layer":2},{"info":"compute unary expreesion, input=-17814, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-35526","layer":1},{"info":"compute binary expreesion, left_input=18513, right_input=-35526, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=140640","layer":0}],"base":12,"result_base":12,"text":"((⫖↰⪸92B⫃⨇⫖↰⪸1034)⇯⋐)+⪬∐((⫖↰⪸810⨵⪆⫖↰⪸A05)∠⫱⫖↰⪸1591⫗⊷⫓⫖↰⪸2124)⇌⫙⪟(⋃(⫖↰⪸B65∽⫖↰⪸1A51)⫞⩸⩒(⫖↰⪸1115⊢⫖↰⪸785))=⫖↰⪸69480","reverse_text":"⫖↰⪸69480=((⫖↰⪸92B⫃⨇⫖↰⪸1034)⇯⋐)+⪬∐((⫖↰⪸810⨵⪆⫖↰⪸A05)∠⫱⫖↰⪸1591⫗⊷⫓⫖↰⪸2124)⇌⫙⪟(⋃(⫖↰⪸B65∽⫖↰⪸1A51)⫞⩸⩒(⫖↰⪸1115⊢⫖↰⪸785))","cot":[{"info":"⫖↰⪸92B⫃⨇⫖↰⪸1034=⫖↰⪸-4140","layer":3},{"info":"⫖↰⪸-4140⇯⋐=⫖↰⪸-36A3","layer":2},{"info":"⫖↰⪸810⨵⪆⫖↰⪸A05=⫖↰⪸114","layer":3},{"info":"⫖↰⪸1591⫗⊷⫓⫖↰⪸2124=⫖↰⪸-B2","layer":3},{"info":"⫖↰⪸114∠⫱⫖↰⪸-B2=⫖↰⪸206","layer":2},{"info":"⫖↰⪸-36A3+⪬∐⫖↰⪸206=⫖↰⪸A869","layer":1},{"info":"⫖↰⪸B65∽⫖↰⪸1A51=⫖↰⪸-A386","layer":3},{"info":"⫖↰⪸1115⊢⫖↰⪸785=⫖↰⪸-23B2","layer":3},{"info":"⫖↰⪸-A386⫞⩸⩒⫖↰⪸-23B2=⫖↰⪸-A386","layer":2},{"info":"⋃⫖↰⪸-A386=⫖↰⪸-18686","layer":1},{"info":"⫖↰⪸A869⇌⫙⪟⫖↰⪸-18686=⫖↰⪸69480","layer":0}]}
{"id":997,"expression_no_base_symbol":"($6731$≠≀$2356$⪨≂$2148$⩦$1716$)↳∿⪆($1811$⪝$1279$⪣⫩)⨐⩸⫘($5712$⇻⋧≁$2045$⇣⩺⋵$3181$≀⫉$5497$↱(($6523$⪷)≬⋮$2716$⨔≚≋$1068$))","expression":"(⫖↰⪸3A8B≠≀⫖↰⪸1444⪨≂⫖↰⪸12B0⩦⫖↰⪸BB0)↳∿⪆(⫖↰⪸106B⪝⫖↰⪸8A7⪣⫩)⨐⩸⫘(⫖↰⪸3380⇻⋧≁⫖↰⪸1225⇣⩺⋵⫖↰⪸1A11≀⫉⫖↰⪸3221↱((⫖↰⪸3937⪷)≬⋮⫖↰⪸16A4⨔≚≋⫖↰⪸750))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15440,"operation_count":14,"complexity_ratio":1102.857142857143,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6731,"base":12},"right_expr":{"type":"numeric_atoms","value":2356,"base":12}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2148,"base":12},"right_expr":{"type":"numeric_atoms","value":1716,"base":12}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1811,"base":12},"right_expr":{"type":"numeric_atoms","value":1279,"base":12}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5712,"base":12},"right_expr":{"type":"numeric_atoms","value":2045,"base":12}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3181,"base":12},"right_expr":{"type":"numeric_atoms","value":5497,"base":12}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":6523,"base":12}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2716,"base":12},"right_expr":{"type":"numeric_atoms","value":1068,"base":12}}}}},"used_operators":["fu6greOZ01","Cw4SuJJGHO","sdazOOVcIp","IwW236VD4Y","0kmYd0q39Y","iuk5sVOGFA","wicAB68Tmb","SR5kFfdi6N","F4yD0voBRQ","jCPkEVoL5K","oZj3VtZNQx","kbkesczE7y","Qctrpi3WzA","Z57zeUYC9z"],"dependent_operators":["3ViojmjbAp","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Nsiff2A1zJ","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=6731","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=6731, right_input=2356, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-13156","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=1716, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4296","layer":3},{"info":"compute binary expreesion, left_input=-13156, right_input=4296, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-34802","layer":2},{"info":"number node, value=1811","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1279, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2527","layer":3},{"info":"compute unary expreesion, input=-2527, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=-34802, right_input=913, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=5712","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=5712, right_input=2045, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=3181","layer":4},{"info":"number node, value=5497","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=5497, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2822, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-7370","layer":2},{"info":"number node, value=6523","layer":4},{"info":"compute unary expreesion, input=6523, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=2716","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=1068, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-7370, right_input=868, 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=-2082","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2082, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":12,"result_base":12,"text":"(⫖↰⪸3A8B≠≀⫖↰⪸1444⪨≂⫖↰⪸12B0⩦⫖↰⪸BB0)↳∿⪆(⫖↰⪸106B⪝⫖↰⪸8A7⪣⫩)⨐⩸⫘(⫖↰⪸3380⇻⋧≁⫖↰⪸1225⇣⩺⋵⫖↰⪸1A11≀⫉⫖↰⪸3221↱((⫖↰⪸3937⪷)≬⋮⫖↰⪸16A4⨔≚≋⫖↰⪸750))=NaN","reverse_text":"NaN=(⫖↰⪸3A8B≠≀⫖↰⪸1444⪨≂⫖↰⪸12B0⩦⫖↰⪸BB0)↳∿⪆(⫖↰⪸106B⪝⫖↰⪸8A7⪣⫩)⨐⩸⫘(⫖↰⪸3380⇻⋧≁⫖↰⪸1225⇣⩺⋵⫖↰⪸1A11≀⫉⫖↰⪸3221↱((⫖↰⪸3937⪷)≬⋮⫖↰⪸16A4⨔≚≋⫖↰⪸750))","cot":[{"info":"⫖↰⪸3A8B≠≀⫖↰⪸1444=⫖↰⪸-7744","layer":3},{"info":"⫖↰⪸12B0⩦⫖↰⪸BB0=⫖↰⪸25A0","layer":3},{"info":"⫖↰⪸-7744⪨≂⫖↰⪸25A0=⫖↰⪸-18182","layer":2},{"info":"⫖↰⪸106B⪝⫖↰⪸8A7=⫖↰⪸-1567","layer":3},{"info":"⫖↰⪸-1567⪣⫩=⫖↰⪸641","layer":2},{"info":"⫖↰⪸-18182↳∿⪆⫖↰⪸641=NaN","layer":1},{"info":"⫖↰⪸3380⇻⋧≁⫖↰⪸1225=⫖↰⪸-313","layer":3},{"info":"⫖↰⪸1A11≀⫉⫖↰⪸3221=⫖↰⪸1772","layer":3},{"info":"⫖↰⪸-313⇣⩺⋵⫖↰⪸1772=⫖↰⪸-4322","layer":2},{"info":"⫖↰⪸3937⪷=NaN","layer":3},{"info":"⫖↰⪸16A4⨔≚≋⫖↰⪸750=⫖↰⪸5868","layer":3},{"info":"NaN≬⋮⫖↰⪸5868=⫖↰⪸604","layer":2},{"info":"⫖↰⪸-4322↱⫖↰⪸604=⫖↰⪸-1256","layer":1},{"info":"NaN⨐⩸⫘⫖↰⪸-1256=NaN","layer":0}]}
{"id":998,"expression_no_base_symbol":"(≛$1197$≃$1060$)⨽∌(($4552$⫽⇹≛)⨚(⊙↵-$3861$))∼(↩($1066$⪡$2011$)↬$1236$⩼⇪↪$1962$)","expression":"(≛⫖↰⪸839≃⫖↰⪸744)⨽∌((⫖↰⪸2774⫽⇹≛)⨚(⊙↵-⫖↰⪸2299))∼(↩(⫖↰⪸74A⪡⫖↰⪸11B7)↬⫖↰⪸870⩼⇪↪⫖↰⪸1176)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4091,"operation_count":11,"complexity_ratio":371.90909090909093,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1197,"base":12},"right_expr":{"type":"numeric_atoms","value":1060,"base":12}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":4552,"base":12}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3861,"base":12}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1066,"base":12},"right_expr":{"type":"numeric_atoms","value":2011,"base":12}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1236,"base":12},"right_expr":{"type":"numeric_atoms","value":1962,"base":12}}}}},"used_operators":["DyGG3AbaNP","9samAPKr6k","W7eaUhjymW","YbVcJGFEVW","nREPSIbpBE","NNaDxxp6OQ","oWn0xqSxBt","jLgFTUHLKL","B5M0gjZbta","oraRL2iQuh","ocnLzx9CaJ"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1197","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1060, 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=-4828","layer":3},{"info":"compute unary expreesion, input=-4828, 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=-9893","layer":2},{"info":"number node, value=4552","layer":4},{"info":"compute unary expreesion, input=4552, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=3861","layer":4},{"info":"compute unary expreesion, input=3861, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=-1, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1482","layer":2},{"info":"compute binary expreesion, left_input=-9893, right_input=1482, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1066","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=2011, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=1962, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-12045","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-12045, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":12,"result_base":12,"text":"(≛⫖↰⪸839≃⫖↰⪸744)⨽∌((⫖↰⪸2774⫽⇹≛)⨚(⊙↵-⫖↰⪸2299))∼(↩(⫖↰⪸74A⪡⫖↰⪸11B7)↬⫖↰⪸870⩼⇪↪⫖↰⪸1176)=NaN","reverse_text":"NaN=(≛⫖↰⪸839≃⫖↰⪸744)⨽∌((⫖↰⪸2774⫽⇹≛)⨚(⊙↵-⫖↰⪸2299))∼(↩(⫖↰⪸74A⪡⫖↰⪸11B7)↬⫖↰⪸870⩼⇪↪⫖↰⪸1176)","cot":[{"info":"⫖↰⪸839≃⫖↰⪸744=⫖↰⪸-2964","layer":3},{"info":"≛⫖↰⪸-2964=⫖↰⪸-5885","layer":2},{"info":"⫖↰⪸2774⫽⇹≛=⫖↰⪸1A8","layer":3},{"info":"⊙↵-⫖↰⪸2299=⫖↰⪸-1","layer":3},{"info":"⫖↰⪸1A8⨚⫖↰⪸-1=⫖↰⪸A36","layer":2},{"info":"⫖↰⪸-5885⨽∌⫖↰⪸A36=⫖↰⪸0","layer":1},{"info":"⫖↰⪸74A⪡⫖↰⪸11B7=⫖↰⪸8B","layer":3},{"info":"⫖↰⪸870⩼⇪↪⫖↰⪸1176=⫖↰⪸-6B79","layer":3},{"info":"⫖↰⪸8B↬⫖↰⪸-6B79=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⫖↰⪸0∼NaN=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"↽≂(($1136$⫌⩹⨱)↠)⪮%⊝((⇨$1338$)⋾⨃∁$2096$↢$4751$)","expression":"↽≂((⫖↰⪸7A8⫌⩹⨱)↠)⪮%⊝((⇨⫖↰⪸936)⋾⨃∁⫖↰⪸1268↢⫖↰⪸28BB)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1689,"operation_count":7,"complexity_ratio":241.28571428571428,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1136,"base":12}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1338,"base":12}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2096,"base":12},"right_expr":{"type":"numeric_atoms","value":4751,"base":12}}}}},"used_operators":["u6S6b8DprG","IWmyXbctLI","LBdsKIvxzf","EBcxylXtPf","212REbPD9h","G9tJMlZ94a","WR6HLWljOP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe","rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","k8jYdgA6NY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⫖↰⪸804","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=1136","layer":4},{"info":"compute unary expreesion, input=1136, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3673","layer":3},{"info":"compute unary expreesion, input=3673, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=2096","layer":4},{"info":"number node, value=4751","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=4751, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1612","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1612, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=25966002","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=25966002, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-578","layer":1},{"info":"compute unary expreesion, input=-578, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1156","layer":0}],"base":12,"result_base":12,"text":"↽≂((⫖↰⪸7A8⫌⩹⨱)↠)⪮%⊝((⇨⫖↰⪸936)⋾⨃∁⫖↰⪸1268↢⫖↰⪸28BB)=⫖↰⪸804","reverse_text":"⫖↰⪸804=↽≂((⫖↰⪸7A8⫌⩹⨱)↠)⪮%⊝((⇨⫖↰⪸936)⋾⨃∁⫖↰⪸1268↢⫖↰⪸28BB)","cot":[{"info":"⫖↰⪸7A8⫌⩹⨱=⫖↰⪸2161","layer":3},{"info":"⫖↰⪸2161↠=⫖↰⪸-313","layer":2},{"info":"⇨⫖↰⪸936=⫖↰⪸0","layer":3},{"info":"⫖↰⪸1268↢⫖↰⪸28BB=⫖↰⪸B24","layer":3},{"info":"⫖↰⪸0⋾⨃∁⫖↰⪸B24=⫖↰⪸8842756","layer":2},{"info":"⫖↰⪸-313⪮%⊝⫖↰⪸8842756=⫖↰⪸-402","layer":1},{"info":"↽≂⫖↰⪸-402=⫖↰⪸804","layer":0}]}
{"id":1000,"expression_no_base_symbol":"(⫯(⩦⊞$2760$))⩁⩘($5579$⨚$7654$⨰$1175$⫁⪎$1079$)⪥(∑⇻≧$1636$⫗⊷⫓$2897$)⪃⊛⇣($1546$∓⋝$1335$≥⨤⩑$1881$∣$1212$)","expression":"(⫯(⩦⊞⫖↰⪸1720))⩁⩘(⫖↰⪸328B⨚⫖↰⪸451A⨰⫖↰⪸81B⫁⪎⫖↰⪸75B)⪥(∑⇻≧⫖↰⪸B44⫗⊷⫓⫖↰⪸1815)⪃⊛⇣(⫖↰⪸A8A∓⋝⫖↰⪸933≥⨤⩑⫖↰⪸1109∣⫖↰⪸850)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2976924,"operation_count":13,"complexity_ratio":228994.15384615384,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2760,"base":12}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5579,"base":12},"right_expr":{"type":"numeric_atoms","value":7654,"base":12}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1175,"base":12},"right_expr":{"type":"numeric_atoms","value":1079,"base":12}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1636,"base":12},"right_expr":{"type":"numeric_atoms","value":2897,"base":12}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1546,"base":12},"right_expr":{"type":"numeric_atoms","value":1335,"base":12}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1881,"base":12},"right_expr":{"type":"numeric_atoms","value":1212,"base":12}}}}},"used_operators":["QbnwKVWMIQ","gub5Cegaqo","H6BK1Evt7c","u7fv1HBiaC","eewbuw0ToL","nREPSIbpBE","xRrnTEsQ6j","rrgAzCduG9","l1M9WJ3V7u","zashukvMKz","gJLn6v0xnP","PoHhknlbAi","PPChnnnBFF"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DpFCA1CohY","IWmyXbctLI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⫖↰⪸-240344","longer_result_info":{"target_base":12,"flag":true},"cot_info":[{"info":"number node, value=2760","layer":4},{"info":"compute unary expreesion, input=2760, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2487","layer":3},{"info":"compute unary expreesion, input=-2487, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=78614","layer":2},{"info":"number node, value=5579","layer":4},{"info":"number node, value=7654","layer":4},{"info":"compute binary expreesion, left_input=5579, right_input=7654, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18524","layer":3},{"info":"number node, value=1175","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=1079, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=96","layer":3},{"info":"compute binary expreesion, left_input=-18524, right_input=96, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-18610","layer":2},{"info":"compute binary expreesion, left_input=78614, right_input=-18610, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-73492","layer":1},{"info":"number node, value=1636","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=2897, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1546","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=1335, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1881","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=1212, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1881","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1881, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=1234, 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=-73492, right_input=1234, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-581092","layer":0}],"base":12,"result_base":12,"text":"(⫯(⩦⊞⫖↰⪸1720))⩁⩘(⫖↰⪸328B⨚⫖↰⪸451A⨰⫖↰⪸81B⫁⪎⫖↰⪸75B)⪥(∑⇻≧⫖↰⪸B44⫗⊷⫓⫖↰⪸1815)⪃⊛⇣(⫖↰⪸A8A∓⋝⫖↰⪸933≥⨤⩑⫖↰⪸1109∣⫖↰⪸850)=⫖↰⪸-240344","reverse_text":"⫖↰⪸-240344=(⫯(⩦⊞⫖↰⪸1720))⩁⩘(⫖↰⪸328B⨚⫖↰⪸451A⨰⫖↰⪸81B⫁⪎⫖↰⪸75B)⪥(∑⇻≧⫖↰⪸B44⫗⊷⫓⫖↰⪸1815)⪃⊛⇣(⫖↰⪸A8A∓⋝⫖↰⪸933≥⨤⩑⫖↰⪸1109∣⫖↰⪸850)","cot":[{"info":"⩦⊞⫖↰⪸1720=⫖↰⪸-1533","layer":3},{"info":"⫯⫖↰⪸-1533=⫖↰⪸395B2","layer":2},{"info":"⫖↰⪸328B⨚⫖↰⪸451A=⫖↰⪸-A878","layer":3},{"info":"⫖↰⪸81B⫁⪎⫖↰⪸75B=⫖↰⪸80","layer":3},{"info":"⫖↰⪸-A878⨰⫖↰⪸80=⫖↰⪸-A92A","layer":2},{"info":"⫖↰⪸395B2⩁⩘⫖↰⪸-A92A=⫖↰⪸-36644","layer":1},{"info":"⫖↰⪸B44⫗⊷⫓⫖↰⪸1815=⫖↰⪸-B2","layer":3},{"info":"∑⇻≧⫖↰⪸-B2=⫖↰⪸-5B0","layer":2},{"info":"⫖↰⪸A8A∓⋝⫖↰⪸933=⫖↰⪸57","layer":3},{"info":"⫖↰⪸1109∣⫖↰⪸850=⫖↰⪸1109","layer":3},{"info":"⫖↰⪸57≥⨤⩑⫖↰⪸1109=⫖↰⪸86A","layer":2},{"info":"⫖↰⪸-5B0⪃⊛⇣⫖↰⪸86A=⫖↰⪸86A","layer":1},{"info":"⫖↰⪸-36644⪥⫖↰⪸86A=⫖↰⪸-240344","layer":0}]}